diff --git a/.DS_Store b/.DS_Store new file mode 100644 index 00000000..9b36b700 Binary files /dev/null and b/.DS_Store differ diff --git a/.github/workflows/deploy.yml b/.github/workflows/deploy.yml index 00be4771..3e4bc2ad 100644 --- a/.github/workflows/deploy.yml +++ b/.github/workflows/deploy.yml @@ -14,7 +14,7 @@ jobs: - name: Set up Python uses: actions/setup-python@v2 with: - python-version: '3.x' + python-version: '3.10' - name: Install dependencies run: | python -m pip install --upgrade pip diff --git a/.github/workflows/tests.yml b/.github/workflows/tests.yml index f1182f7b..8b900608 100644 --- a/.github/workflows/tests.yml +++ b/.github/workflows/tests.yml @@ -14,7 +14,7 @@ jobs: runs-on: ubuntu-latest strategy: matrix: - python-version: [3.7, 3.8] + python-version: ["3.10","3.11"] steps: - uses: actions/checkout@v2 diff --git a/.github/workflows/tests_312.yml b/.github/workflows/tests_312.yml new file mode 100644 index 00000000..175f146a --- /dev/null +++ b/.github/workflows/tests_312.yml @@ -0,0 +1,41 @@ + +name: tests_312 + +on: + push: + branches: [ main ] + pull_request: + branches: [ main ] + +jobs: + build: + + runs-on: ubuntu-latest + strategy: + matrix: + python-version: ["3.12"] + + steps: + - uses: actions/checkout@v2 + - name: Set up Python ${{ matrix.python-version }} + uses: actions/setup-python@v2 + with: + python-version: ${{ matrix.python-version }} + - name: Install dependencies + run: | + python -m pip install --upgrade pip + python -m pip install wheel + python -m pip install flake8 pytest setuptools + if [ -f requirements.txt ]; then pip install -r requirements.txt; fi + - name: Lint with flake8 + run: | + # stop the build if there are Python syntax errors or undefined names + flake8 . --count --select=E9,F63,F7,F82 --show-source --statistics + # exit-zero treats all errors as warnings. The GitHub editor is 127 chars wide + flake8 . --count --exit-zero --max-complexity=10 --max-line-length=127 --statistics + - name: Install test dependecies + run: | + pip install -e .[test] + - name: Test with pytest + run: | + pytest diff --git a/.github/workflows/tests_sans_ppo.yml b/.github/workflows/tests_sans_ppo.yml new file mode 100644 index 00000000..9aafb97c --- /dev/null +++ b/.github/workflows/tests_sans_ppo.yml @@ -0,0 +1,45 @@ +# This is a basic workflow to help you get started with Actions + +name: tests-sans-ppo +# This is a basic workflow to help you get started with Actions + +on: + push: + branches: [ main ] + pull_request: + branches: [ main ] + +jobs: + build: + + runs-on: ubuntu-latest + strategy: + matrix: + python-version: ["3.10","3.11"] + + steps: + - uses: actions/checkout@v2 + - name: Set up Python ${{ matrix.python-version }} + uses: actions/setup-python@v2 + with: + python-version: ${{ matrix.python-version }} + - name: Install dependencies + run: | + python -m pip install --upgrade pip + python -m pip install wheel + python -m pip install flake8 pytest + if [ -f requirements.txt ]; then pip install -r requirements.txt; fi + python -m pip install scipy + python -m pip uninstall pyportfolioopt -y + - name: Lint with flake8 + run: | + # stop the build if there are Python syntax errors or undefined names + flake8 . --count --select=E9,F63,F7,F82 --show-source --statistics + # exit-zero treats all errors as warnings. The GitHub editor is 127 chars wide + flake8 . --count --exit-zero --max-complexity=10 --max-line-length=127 --statistics + - name: Install test dependecies + run: | + pip install -e .[test] + - name: Test with pytest + run: | + pytest diff --git a/.gitignore b/.gitignore index b6e47617..137b3e34 100644 --- a/.gitignore +++ b/.gitignore @@ -127,3 +127,8 @@ dmypy.json # Pyre type checker .pyre/ + + +private_examples +private_examples/*.py +private_examples/*.csv diff --git a/COMMENTARY.md b/COMMENTARY.md new file mode 100644 index 00000000..4176c935 --- /dev/null +++ b/COMMENTARY.md @@ -0,0 +1,16 @@ + +By topic + +On rebalancing frequency: + + - [What does rebalancing really achieve?](https://www.semanticscholar.org/paper/What-Does-Rebalancing-Really-Achieve-Cuthbertson-Hayley/ccceb3d3dd5ba2c88394b72559f5485998c7e0cf) <-- Good lit survey + - [Measuring volatility pumping benefits in equity markets](https://risk.edhec.edu/sites/risk/files/measuring-volatility-pumping-benefits-in-equity-markets.pdf) + - [Chasing down the rebalancing premium](https://www.soa.org/globalassets/assets/library/newsletters/risks-and-rewards/2020/september/rr-2020-09-glacy.pdf) + - [Is Portfolio rebalancing good for investors?](https://core.ac.uk/download/pdf/84873313.pdf) + - [Will my risk parity portfolio outperform](https://papers.ssrn.com/sol3/papers.cfm?abstract_id=2101898) + - [Why regular rebalancing is key to maximizing factor premiums](https://advisors.vanguard.com/insights/article/whyregularrebalancingiskeytomaximizingfactorpremiums#:~:text=By%20breaking%20the%20returns%20down,monthly%20or%20bi%2Dannual%20rebalancing.) + - [The rebalancing premium](http://www.efficientfrontier.com/ef/996/rebal.htm) + - [Daily versus monthly...](https://www.bogleheads.org/forum/viewtopic.php?t=63189) + - [Estimating rebalancing premium in cryptocurrencies](https://quantpedia.com/estimating-rebalancing-premium-in-cryptocurrencies/) + - [An in-depth look at portfolio rebalancing strategies](https://cpb-us-w2.wpmucdn.com/sites.udel.edu/dist/a/855/files/2020/08/Rebalancing-Strategies.pdf) + - [Portfolio rebalancing: Hype or Hope?](https://journals.uvu.edu/index.php/jbi/article/download/90/70/) diff --git a/HELP.md b/HELP.md new file mode 100644 index 00000000..ac5098f2 --- /dev/null +++ b/HELP.md @@ -0,0 +1,9 @@ +You can help create Elo ratings as follows: + + git clone https://github.com/microprediction/precise.git + cd precise + pip install -e . + python3 precise/skatervaluation/battlescripts/manager_var/stocks\?topic=stocks\&n_dim=int:500\&n_obs=int:225\&n_burn=int:200\&k=int:5.py + +This should start to populate a new file which you can PR. It will go in [here](https://github.com/microprediction/precise/tree/main/precise/skatervaluation/battleresults/manager_var/stocks_5_days_p500_n200) + diff --git a/LICENSE b/LICENSE index baa607fa..010a829b 100644 --- a/LICENSE +++ b/LICENSE @@ -1,8 +1,8 @@ -MIT License +Buy Me Beers License Copyright (c) 2021 Peter Cotton -Permission is hereby granted, free of charge, to any person obtaining a copy +Begrudging permission is hereby granted, free of charge, to any person obtaining a copy of this software and associated documentation files (the "Software"), to deal in the Software without restriction, including without limitation the rights to use, copy, modify, merge, publish, distribute, sublicense, and/or sell @@ -10,7 +10,10 @@ copies of the Software, and to permit persons to whom the Software is furnished to do so, subject to the following conditions: The above copyright notice and this permission notice shall be included in all -copies or substantial portions of the Software. +copies or substantial portions of the Software, I suppose. + +However, should you win a prize in the M6 Financial Forecasting competition then +you are obligated to buy me a beer. THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, diff --git a/LISTING_OF_COV_SKATERS.md b/LISTING_OF_COV_SKATERS.md new file mode 100644 index 00000000..181c7d39 --- /dev/null +++ b/LISTING_OF_COV_SKATERS.md @@ -0,0 +1,87 @@ +| covariance skater | location | +|-----|-----| +| buf_emp_pcov_d0_n20 | https://github.com/microprediction/precise/blob/main/precise/skaters/covariance/bufemp.py | +| buf_emp_pcov_d0_n50 | https://github.com/microprediction/precise/blob/main/precise/skaters/covariance/bufemp.py | +| buf_emp_pcov_d0_n100 | https://github.com/microprediction/precise/blob/main/precise/skaters/covariance/bufemp.py | +| run_emp_pcov_d0 | https://github.com/microprediction/precise/blob/main/precise/skaters/covariance/runemp.py | +| buf_sk_emp_pcov_d0_n100 | https://github.com/microprediction/precise/blob/main/precise/skaters/covariance/bufsk.py | +| buf_sk_lw_pcov_d0_n100 | https://github.com/microprediction/precise/blob/main/precise/skaters/covariance/bufsk.py | +| buf_sk_lw_pcov_d0_n200 | https://github.com/microprediction/precise/blob/main/precise/skaters/covariance/bufsk.py | +| buf_sk_lw_pcov_d0_n300 | https://github.com/microprediction/precise/blob/main/precise/skaters/covariance/bufsk.py | +| buf_sk_gl_pcov_d0_n100 | https://github.com/microprediction/precise/blob/main/precise/skaters/covariance/bufsk.py | +| buf_sk_gl_pcov_d0_n200 | https://github.com/microprediction/precise/blob/main/precise/skaters/covariance/bufsk.py | +| buf_sk_glcv_pcov_d0_n100 | https://github.com/microprediction/precise/blob/main/precise/skaters/covariance/bufsk.py | +| buf_sk_glcv_pcov_d0_n200 | https://github.com/microprediction/precise/blob/main/precise/skaters/covariance/bufsk.py | +| buf_sk_glcv_pcov_d0_n300 | https://github.com/microprediction/precise/blob/main/precise/skaters/covariance/bufsk.py | +| buf_sk_glcv_pcov_d0_n100_t0 | https://github.com/microprediction/precise/blob/main/precise/skaters/covariance/bufsk.py | +| buf_sk_glcv_pcov_d0_n200_t0 | https://github.com/microprediction/precise/blob/main/precise/skaters/covariance/bufsk.py | +| buf_sk_glcv_pcov_lars_d0_n100 | https://github.com/microprediction/precise/blob/main/precise/skaters/covariance/bufsk.py | +| buf_sk_glcv_pcov_lars_d0_n200 | https://github.com/microprediction/precise/blob/main/precise/skaters/covariance/bufsk.py | +| buf_sk_glcv_pcov_lars_d0_n300 | https://github.com/microprediction/precise/blob/main/precise/skaters/covariance/bufsk.py | +| buf_sk_mcd_pcov_d0_n100 | https://github.com/microprediction/precise/blob/main/precise/skaters/covariance/bufsk.py | +| buf_sk_oas_pcov_d0_n100 | https://github.com/microprediction/precise/blob/main/precise/skaters/covariance/bufsk.py | +| buf_sk_oas_pcov_d0_n200 | https://github.com/microprediction/precise/blob/main/precise/skaters/covariance/bufsk.py | +| buf_sk_oas_pcov_d0_n300 | https://github.com/microprediction/precise/blob/main/precise/skaters/covariance/bufsk.py | +| ewa_emp_pcov_d0_r01 | https://github.com/microprediction/precise/blob/main/precise/skaters/covariance/ewaemp.py | +| ewa_emp_pcov_d0_r02 | https://github.com/microprediction/precise/blob/main/precise/skaters/covariance/ewaemp.py | +| ewa_emp_pcov_d0_r05 | https://github.com/microprediction/precise/blob/main/precise/skaters/covariance/ewaemp.py | +| ewa_emp_pcov_d0_r10 | https://github.com/microprediction/precise/blob/main/precise/skaters/covariance/ewaemp.py | +| buf_huber_pcov_d0_a1_b2_n50 | https://github.com/microprediction/precise/blob/main/precise/skaters/covariance/bufhuber.py | +| buf_huber_pcov_d0_a05_b2_n50 | https://github.com/microprediction/precise/blob/main/precise/skaters/covariance/bufhuber.py | +| buf_huber_pcov_d0_a1_b5_n50 | https://github.com/microprediction/precise/blob/main/precise/skaters/covariance/bufhuber.py | +| buf_huber_pcov_d0_a1_b2_n100 | https://github.com/microprediction/precise/blob/main/precise/skaters/covariance/bufhuber.py | +| buf_huber_pcov_d0_a05_b2_n100 | https://github.com/microprediction/precise/blob/main/precise/skaters/covariance/bufhuber.py | +| buf_huber_pcov_d0_a1_b5_n100 | https://github.com/microprediction/precise/blob/main/precise/skaters/covariance/bufhuber.py | +| buf_huber_pcov_d0_a1_b2_n200 | https://github.com/microprediction/precise/blob/main/precise/skaters/covariance/bufhuber.py | +| buf_huber_pcov_d0_a05_b2_n200 | https://github.com/microprediction/precise/blob/main/precise/skaters/covariance/bufhuber.py | +| buf_huber_pcov_d0_a1_b5_n200 | https://github.com/microprediction/precise/blob/main/precise/skaters/covariance/bufhuber.py | +| ewa_pm_emp_scov_r01_n100 | https://github.com/microprediction/precise/blob/main/precise/skaters/covariance/ewapm.py | +| ewa_pm_emp_scov_r01_n200 | https://github.com/microprediction/precise/blob/main/precise/skaters/covariance/ewapm.py | +| ewa_pm_emp_scov_r02_n100 | https://github.com/microprediction/precise/blob/main/precise/skaters/covariance/ewapm.py | +| ewa_pm_emp_scov_r02_n50 | https://github.com/microprediction/precise/blob/main/precise/skaters/covariance/ewapm.py | +| ewa_pm_emp_scov_r05_n50 | https://github.com/microprediction/precise/blob/main/precise/skaters/covariance/ewapm.py | +| ewa_pm_emp_scov_r05_n25 | https://github.com/microprediction/precise/blob/main/precise/skaters/covariance/ewapm.py | +| ewa_pm_emp_scov_r01_n100_t0 | https://github.com/microprediction/precise/blob/main/precise/skaters/covariance/ewapm.py | +| ewa_pm_emp_scov_r01_n200_t0 | https://github.com/microprediction/precise/blob/main/precise/skaters/covariance/ewapm.py | +| ewa_pm_emp_scov_r02_n100_t0 | https://github.com/microprediction/precise/blob/main/precise/skaters/covariance/ewapm.py | +| ewa_pm_emp_scov_r02_n50_t0 | https://github.com/microprediction/precise/blob/main/precise/skaters/covariance/ewapm.py | +| ewa_pm_emp_scov_r05_n50_t0 | https://github.com/microprediction/precise/blob/main/precise/skaters/covariance/ewapm.py | +| ewa_pm_emp_scov_r05_n25_t0 | https://github.com/microprediction/precise/blob/main/precise/skaters/covariance/ewapm.py | +| ewa_lw_scov_d0_r01 | https://github.com/microprediction/precise/blob/main/precise/skaters/covariance/ewalw.py | +| ewa_lw_scov_d0_r02 | https://github.com/microprediction/precise/blob/main/precise/skaters/covariance/ewalw.py | +| ewa_lz_scov_d0_r010_l010_n100 | https://github.com/microprediction/precise/blob/main/precise/skaters/covariance/ewalz.py | +| ewa_lz_scov_d0_r005_l010_n100 | https://github.com/microprediction/precise/blob/main/precise/skaters/covariance/ewalz.py | +| ewa_lz_scov_d0_r005_l020_n50 | https://github.com/microprediction/precise/blob/main/precise/skaters/covariance/ewalz.py | +| weak_ewa_emp_pcov_d0_r01 | https://github.com/microprediction/precise/blob/main/precise/skaters/covariance/weakewa.py | +| weak_ewa_emp_pcov_d1_r02 | https://github.com/microprediction/precise/blob/main/precise/skaters/covariance/weakewa.py | +| weak_ewa_emp_pcov_d1_r05 | https://github.com/microprediction/precise/blob/main/precise/skaters/covariance/weakewa.py | +| weak_ewa_lw_scov_d0_r01 | https://github.com/microprediction/precise/blob/main/precise/skaters/covariance/weakewa.py | +| weak_ewa_lw_scov_d0_r02 | https://github.com/microprediction/precise/blob/main/precise/skaters/covariance/weakewa.py | +| weak_ewa_lw_scov_d0_r05 | https://github.com/microprediction/precise/blob/main/precise/skaters/covariance/weakewa.py | +| weak_pm_ewa_scov_r02_n100_t0 | https://github.com/microprediction/precise/blob/main/precise/skaters/covariance/weakpm.py | +| weak_pm_ewa_scov_r05_n50_t0 | https://github.com/microprediction/precise/blob/main/precise/skaters/covariance/weakpm.py | +| weak_lz_scov_d0_r010_l010_n100 | https://github.com/microprediction/precise/blob/main/precise/skaters/covariance/weaklz.py | +| weak_lz_scov_d0_r005_l020_n50 | https://github.com/microprediction/precise/blob/main/precise/skaters/covariance/weaklz.py | +| weak_sk_oas_pcov_d0_n100 | https://github.com/microprediction/precise/blob/main/precise/skaters/covariance/weaksk.py | +| weak_sk_lw_pcov_d0_n100 | https://github.com/microprediction/precise/blob/main/precise/skaters/covariance/weaksk.py | +| weak_sk_mcd_pcov_d0_n100 | https://github.com/microprediction/precise/blob/main/precise/skaters/covariance/weaksk.py | +| avg_top_weakewa_ewalw_weakpm | https://github.com/microprediction/precise/blob/main/precise/skaters/covariance/avgtop.py | +| weak_boot_ewa_pm | https://github.com/microprediction/precise/blob/main/precise/skaters/covariance/weakboot.py | +| weak_boot_pm_ewa_scov_r05_n50_t0 | https://github.com/microprediction/precise/blob/main/precise/skaters/covariance/weakboot.py | +| buf_emp_pcov_d1_n20 | https://github.com/microprediction/precise/blob/main/precise/skaters/covariance/bufemp.py | +| buf_emp_pcov_d1_n100 | https://github.com/microprediction/precise/blob/main/precise/skaters/covariance/bufemp.py | +| run_emp_pcov_d1 | https://github.com/microprediction/precise/blob/main/precise/skaters/covariance/runemp.py | +| buf_sk_ec_pcov_d1_n100 | https://github.com/microprediction/precise/blob/main/precise/skaters/covariance/bufsk.py | +| buf_sk_lw_pcov_d1_n100 | https://github.com/microprediction/precise/blob/main/precise/skaters/covariance/bufsk.py | +| buf_sk_gl_pcov_d1_n100 | https://github.com/microprediction/precise/blob/main/precise/skaters/covariance/bufsk.py | +| buf_sk_glcv_pcov_d1_n100 | https://github.com/microprediction/precise/blob/main/precise/skaters/covariance/bufsk.py | +| buf_sk_mcd_pcov_d1_n100 | https://github.com/microprediction/precise/blob/main/precise/skaters/covariance/bufsk.py | +| buf_sk_oas_pcov_d1_n100 | https://github.com/microprediction/precise/blob/main/precise/skaters/covariance/bufsk.py | +| ewa_emp_pcov_d1_r01 | https://github.com/microprediction/precise/blob/main/precise/skaters/covariance/ewaemp.py | +| ewa_emp_pcov_d1_r02 | https://github.com/microprediction/precise/blob/main/precise/skaters/covariance/ewaemp.py | +| ewa_emp_pcov_d1_r05 | https://github.com/microprediction/precise/blob/main/precise/skaters/covariance/ewaemp.py | +| ewa_emp_pcov_d1_r10 | https://github.com/microprediction/precise/blob/main/precise/skaters/covariance/ewaemp.py | +| buf_huber_pcov_d1_a1_b2_n50 | https://github.com/microprediction/precise/blob/main/precise/skaters/covariance/bufhuber.py | +| buf_huber_pcov_d1_a1_b2_n100 | https://github.com/microprediction/precise/blob/main/precise/skaters/covariance/bufhuber.py | +| ewa_lw_scov_d1_r01 | https://github.com/microprediction/precise/blob/main/precise/skaters/covariance/ewalw.py | +| ewa_lw_scov_d1_r02 | https://github.com/microprediction/precise/blob/main/precise/skaters/covariance/ewalw.py | diff --git a/LISTING_OF_MANAGERS.md b/LISTING_OF_MANAGERS.md new file mode 100644 index 00000000..a6bff783 --- /dev/null +++ b/LISTING_OF_MANAGERS.md @@ -0,0 +1,159 @@ +| manager | location | +|-----|-----| +| weak_pm_t0_d0_r025_n50_long_manager | https://github.com/microprediction/precise/blob/main/precise/skaters/managers/weakmanagers.py | +| weak_ewa_t0_d0_r025_n50_long_manager | https://github.com/microprediction/precise/blob/main/precise/skaters/managers/weakmanagers.py | +| weak_pm_t0_d0_r050_n50_long_manager | https://github.com/microprediction/precise/blob/main/precise/skaters/managers/weakmanagers.py | +| weak_ewa_t0_d0_r050_n50_long_manager | https://github.com/microprediction/precise/blob/main/precise/skaters/managers/weakmanagers.py | +| weak_pm_t0_d0_r025_n50_h125_long_manager | https://github.com/microprediction/precise/blob/main/precise/skaters/managers/weakmanagers.py | +| weak_ewa_t0_d0_r025_n50_h125_long_manager | https://github.com/microprediction/precise/blob/main/precise/skaters/managers/weakmanagers.py | +| weak_pm_t0_d0_r050_n50_h125_long_manager | https://github.com/microprediction/precise/blob/main/precise/skaters/managers/weakmanagers.py | +| weak_ewa_t0_d0_r050_n50_h500_long_manager | https://github.com/microprediction/precise/blob/main/precise/skaters/managers/weakmanagers.py | +| weak_pm_t0_d0_r025_n50_h500_long_manager | https://github.com/microprediction/precise/blob/main/precise/skaters/managers/weakmanagers.py | +| weak_ewa_t0_d0_r025_n50_h500_long_manager | https://github.com/microprediction/precise/blob/main/precise/skaters/managers/weakmanagers.py | +| weak_pm_t0_d0_r050_n50_h500_long_manager | https://github.com/microprediction/precise/blob/main/precise/skaters/managers/weakmanagers.py | +| weak_sk_lw_pcov_d0_n100_long_manager | https://github.com/microprediction/precise/blob/main/precise/skaters/managers/weakmanagers.py | +| weak_sk_glcv_pcov_d0_n100_long_manager | https://github.com/microprediction/precise/blob/main/precise/skaters/managers/weakmanagers.py | +| weak_sk_glcv_pcov_d0_n100_t0_long_manager | https://github.com/microprediction/precise/blob/main/precise/skaters/managers/weakmanagers.py | +| weak_sk_mcd_pcov_d0_n100_long_manager | https://github.com/microprediction/precise/blob/main/precise/skaters/managers/weakmanagers.py | +| ppo_pm_t0_d0_r025_n50_vol_long_manager | https://github.com/microprediction/precise/blob/main/precise/skaters/managers/ppomanagers.py | +| ppo_ewa_d0_r025_n50_vol_long_manager | https://github.com/microprediction/precise/blob/main/precise/skaters/managers/ppomanagers.py | +| ppo_pm_t0_d0_r025_n50_quad_long_manager | https://github.com/microprediction/precise/blob/main/precise/skaters/managers/ppomanagers.py | +| ppo_ewa_d0_r025_n50_quad_long_manager | https://github.com/microprediction/precise/blob/main/precise/skaters/managers/ppomanagers.py | +| ppo_pm_t0_d0_r025_n50_sharpe_long_manager | https://github.com/microprediction/precise/blob/main/precise/skaters/managers/ppomanagers.py | +| ppo_ewa_d0_r025_n50_sharpe_long_manager | https://github.com/microprediction/precise/blob/main/precise/skaters/managers/ppomanagers.py | +| ppo_sk_lw_pcov_d1_n100_vol_long_manager | https://github.com/microprediction/precise/blob/main/precise/skaters/managers/ppomanagers.py | +| ppo_sk_glcv_pcov_d0_n100_vol_long_manager | https://github.com/microprediction/precise/blob/main/precise/skaters/managers/ppomanagers.py | +| ppo_sk_glcv_pcov_d0_n100_t0_vol_long_manager | https://github.com/microprediction/precise/blob/main/precise/skaters/managers/ppomanagers.py | +| ppo_sk_mcd_pcov_d0_n100_vol_long_manager | https://github.com/microprediction/precise/blob/main/precise/skaters/managers/ppomanagers.py | +| ppo_sk_lw_pcov_d0_n100_quad_long_manager | https://github.com/microprediction/precise/blob/main/precise/skaters/managers/ppomanagers.py | +| ppo_sk_glcv_pcov_d0_n100_quad_long_manager | https://github.com/microprediction/precise/blob/main/precise/skaters/managers/ppomanagers.py | +| ppo_sk_glcv_pcov_d0_n100_t0_quad_long_manager | https://github.com/microprediction/precise/blob/main/precise/skaters/managers/ppomanagers.py | +| ppo_sk_mcd_pcov_d0_n100_quad_long_manager | https://github.com/microprediction/precise/blob/main/precise/skaters/managers/ppomanagers.py | +| ppo_sk_lw_pcov_d0_n100_sharpe_long_manager | https://github.com/microprediction/precise/blob/main/precise/skaters/managers/ppomanagers.py | +| ppo_sk_glcv_pcov_d0_n100_sharpe_long_manager | https://github.com/microprediction/precise/blob/main/precise/skaters/managers/ppomanagers.py | +| ppo_sk_glcv_pcov_d0_n100_t0_sharpe_long_manager | https://github.com/microprediction/precise/blob/main/precise/skaters/managers/ppomanagers.py | +| ppo_sk_mcd_pcov_d0_n100_sharpe_long_manager | https://github.com/microprediction/precise/blob/main/precise/skaters/managers/ppomanagers.py | +| hrp_weak_weak_pm_t0_d0_r025_n50_s5_long_manager | https://github.com/microprediction/precise/blob/main/precise/skaters/managers/hrpmanagers.py | +| hrp_vol_vol_pm_t0_d0_r025_n50_s5_long_manager | https://github.com/microprediction/precise/blob/main/precise/skaters/managers/hrpmanagers.py | +| hrp_vol_vol_pm_t0_d0_r025_n50_s50_long_manager | https://github.com/microprediction/precise/blob/main/precise/skaters/managers/hrpmanagers.py | +| hrp_weak_vol_ewa_r025_n50_s50_long_manager | https://github.com/microprediction/precise/blob/main/precise/skaters/managers/hrpmanagers.py | +| hrp_weak_vol_ewa_r025_n50_s50_l10_long_manager | https://github.com/microprediction/precise/blob/main/precise/skaters/managers/hrpmanagers.py | +| schur_weak_weak_pm_t0_r025_n50_s25_g100_h125_long_manager | https://github.com/microprediction/precise/blob/main/precise/skaters/managers/schurmanagers.py | +| schur_weak_weak_pm_t0_r050_n25_s25_g100_h125_long_manager | https://github.com/microprediction/precise/blob/main/precise/skaters/managers/schurmanagers.py | +| schur_weak_weak_ewa_r025_n50_s25_g100_h125_long_manager | https://github.com/microprediction/precise/blob/main/precise/skaters/managers/schurmanagers.py | +| schur_weak_weak_ewa_r050_n25_s25_g100_h125_long_manager | https://github.com/microprediction/precise/blob/main/precise/skaters/managers/schurmanagers.py | +| schur_weak_weak_pm_t0_r025_n50_s25_g100_h150_long_manager | https://github.com/microprediction/precise/blob/main/precise/skaters/managers/schurmanagers.py | +| schur_weak_weak_pm_t0_r050_n25_s25_g100_h150_long_manager | https://github.com/microprediction/precise/blob/main/precise/skaters/managers/schurmanagers.py | +| schur_weak_weak_ewa_r025_n50_s25_g100_h150_long_manager | https://github.com/microprediction/precise/blob/main/precise/skaters/managers/schurmanagers.py | +| schur_weak_weak_ewa_r050_n25_s25_g100_h150_long_manager | https://github.com/microprediction/precise/blob/main/precise/skaters/managers/schurmanagers.py | +| schur_weak_weak_pm_t0_r025_n50_s25_g100_h500_long_manager | https://github.com/microprediction/precise/blob/main/precise/skaters/managers/schurmanagers.py | +| schur_weak_weak_pm_t0_r050_n25_s25_g100_h500_long_manager | https://github.com/microprediction/precise/blob/main/precise/skaters/managers/schurmanagers.py | +| schur_weak_weak_ewa_r025_n50_s25_g100_h500_long_manager | https://github.com/microprediction/precise/blob/main/precise/skaters/managers/schurmanagers.py | +| schur_weak_weak_ewa_r050_n25_s25_g100_h500_long_manager | https://github.com/microprediction/precise/blob/main/precise/skaters/managers/schurmanagers.py | +| schur_weak_weak_pm_t0_r025_n50_s100_g100_h500_long_manager | https://github.com/microprediction/precise/blob/main/precise/skaters/managers/schurmanagers.py | +| schur_weak_weak_pm_t0_r050_n25_s100_g100_h500_long_manager | https://github.com/microprediction/precise/blob/main/precise/skaters/managers/schurmanagers.py | +| schur_weak_weak_ewa_r025_n50_s100_g100_h500_long_manager | https://github.com/microprediction/precise/blob/main/precise/skaters/managers/schurmanagers.py | +| schur_weak_weak_ewa_r050_n25_s100_g100_h500_long_manager | https://github.com/microprediction/precise/blob/main/precise/skaters/managers/schurmanagers.py | +| schur_weak_weak_pm_t0_r025_n50_s5_g100_long_manager | https://github.com/microprediction/precise/blob/main/precise/skaters/managers/schurmanagers.py | +| schur_weak_weak_pm_t0_r050_n25_s5_g100_long_manager | https://github.com/microprediction/precise/blob/main/precise/skaters/managers/schurmanagers.py | +| schur_weak_weak_ewa_r025_n50_s5_g100_long_manager | https://github.com/microprediction/precise/blob/main/precise/skaters/managers/schurmanagers.py | +| schur_weak_weak_ewa_r050_n25_s5_g100_long_manager | https://github.com/microprediction/precise/blob/main/precise/skaters/managers/schurmanagers.py | +| schur_weak_vol_ewa_r050_n25_s5_g100_long_manager | https://github.com/microprediction/precise/blob/main/precise/skaters/managers/schurmanagers.py | +| schur_weak_vol_ewa_r001_n200_s50_g100_l20_long_manager | https://github.com/microprediction/precise/blob/main/precise/skaters/managers/schurmanagers.py | +| schur_weak_vol_ewa_r001_n200_s50_g100_l21_long_manager | https://github.com/microprediction/precise/blob/main/precise/skaters/managers/schurmanagers.py | +| schur_vol_vol_ewa_r050_n25_s5_g100_long_manager | https://github.com/microprediction/precise/blob/main/precise/skaters/managers/schurmanagers.py | +| schur_diag_diag_ewa_r050_n25_s5_g100_long_manager | https://github.com/microprediction/precise/blob/main/precise/skaters/managers/schurmanagers.py | +| schur_diag_weak_pm_t0_r050_n25_s5_g100_long_manager | https://github.com/microprediction/precise/blob/main/precise/skaters/managers/schurmanagers.py | +| schur_vol_vol_pm_t0_d0_r025_n50_s5_g100_long_manager | https://github.com/microprediction/precise/blob/main/precise/skaters/managers/schurmanagers.py | +| schur_vol_vol_pm_t0_d0_r025_n50_s25_g100_long_manager | https://github.com/microprediction/precise/blob/main/precise/skaters/managers/schurmanagers.py | +| schur_vol_vol_pm_t0_d0_r025_n50_s50_g100_long_manager | https://github.com/microprediction/precise/blob/main/precise/skaters/managers/schurmanagers.py | +| schur_weak_weak_pm_t0_r025_n50_s5_g050_long_manager | https://github.com/microprediction/precise/blob/main/precise/skaters/managers/schurmanagers.py | +| schur_weak_weak_pm_t0_r050_n25_s5_g050_long_manager | https://github.com/microprediction/precise/blob/main/precise/skaters/managers/schurmanagers.py | +| schur_weak_weak_ewa_r025_n50_s5_g050_long_manager | https://github.com/microprediction/precise/blob/main/precise/skaters/managers/schurmanagers.py | +| schur_weak_weak_ewa_r050_n25_s5_g050_long_manager | https://github.com/microprediction/precise/blob/main/precise/skaters/managers/schurmanagers.py | +| schur_weak_vol_ewa_r050_n25_s5_g050_long_manager | https://github.com/microprediction/precise/blob/main/precise/skaters/managers/schurmanagers.py | +| schur_vol_vol_ewa_r050_n25_s5_g050_long_manager | https://github.com/microprediction/precise/blob/main/precise/skaters/managers/schurmanagers.py | +| schur_diag_diag_ewa_r050_n25_s5_g050_long_manager | https://github.com/microprediction/precise/blob/main/precise/skaters/managers/schurmanagers.py | +| schur_diag_weak_pm_t0_r050_n25_s5_g050_long_manager | https://github.com/microprediction/precise/blob/main/precise/skaters/managers/schurmanagers.py | +| schur_weak_weak_pm_t0_r025_n50_s5_g010_long_manager | https://github.com/microprediction/precise/blob/main/precise/skaters/managers/schurmanagers.py | +| schur_weak_weak_pm_t0_r050_n25_s5_g010_long_manager | https://github.com/microprediction/precise/blob/main/precise/skaters/managers/schurmanagers.py | +| schur_weak_weak_ewa_r025_n50_s5_g010_long_manager | https://github.com/microprediction/precise/blob/main/precise/skaters/managers/schurmanagers.py | +| schur_weak_weak_ewa_r050_n25_s5_g010_long_manager | https://github.com/microprediction/precise/blob/main/precise/skaters/managers/schurmanagers.py | +| schur_weak_vol_ewa_r050_n25_s5_g010_long_manager | https://github.com/microprediction/precise/blob/main/precise/skaters/managers/schurmanagers.py | +| schur_vol_vol_ewa_r050_n25_s5_g010_long_manager | https://github.com/microprediction/precise/blob/main/precise/skaters/managers/schurmanagers.py | +| schur_diag_diag_ewa_r050_n25_s5_g010_long_manager | https://github.com/microprediction/precise/blob/main/precise/skaters/managers/schurmanagers.py | +| schur_diag_weak_pm_t0_r050_n25_s5_g010_long_manager | https://github.com/microprediction/precise/blob/main/precise/skaters/managers/schurmanagers.py | +| schur_diag_weak_pm_t0_r050_n25_s5_g010_l11_long_manager | https://github.com/microprediction/precise/blob/main/precise/skaters/managers/schurmanagers.py | +| schur_diag_weak_pm_t0_r050_n25_s5_g010_l21_long_manager | https://github.com/microprediction/precise/blob/main/precise/skaters/managers/schurmanagers.py | +| schur_weak_weak_pm_t0_r025_n50_s5_g000_long_manager | https://github.com/microprediction/precise/blob/main/precise/skaters/managers/schurmanagers.py | +| schur_weak_weak_pm_t0_r050_n25_s5_g000_long_manager | https://github.com/microprediction/precise/blob/main/precise/skaters/managers/schurmanagers.py | +| schur_weak_weak_ewa_r025_n50_s5_g000_long_manager | https://github.com/microprediction/precise/blob/main/precise/skaters/managers/schurmanagers.py | +| schur_weak_weak_ewa_r050_n25_s5_g000_long_manager | https://github.com/microprediction/precise/blob/main/precise/skaters/managers/schurmanagers.py | +| schur_weak_vol_ewa_r050_n25_s5_g000_long_manager | https://github.com/microprediction/precise/blob/main/precise/skaters/managers/schurmanagers.py | +| schur_vol_vol_ewa_r050_n25_s5_g000_long_manager | https://github.com/microprediction/precise/blob/main/precise/skaters/managers/schurmanagers.py | +| schur_diag_diag_ewa_r050_n25_s5_g000_long_manager | https://github.com/microprediction/precise/blob/main/precise/skaters/managers/schurmanagers.py | +| schur_diag_weak_pm_t0_r050_n25_s5_g000_long_manager | https://github.com/microprediction/precise/blob/main/precise/skaters/managers/schurmanagers.py | +| schur_weak_weak_pm_t0_r025_n50_s5_g020_long_manager | https://github.com/microprediction/precise/blob/main/precise/skaters/managers/schurmanagers.py | +| schur_weak_weak_pm_t0_r025_n50_s5_g030_long_manager | https://github.com/microprediction/precise/blob/main/precise/skaters/managers/schurmanagers.py | +| schur_weak_weak_pm_t0_r025_n50_s5_g040_long_manager | https://github.com/microprediction/precise/blob/main/precise/skaters/managers/schurmanagers.py | +| schur_weak_weak_pm_t0_r025_n50_s5_g060_long_manager | https://github.com/microprediction/precise/blob/main/precise/skaters/managers/schurmanagers.py | +| schur_weak_weak_pm_t0_r025_n50_s5_g070_long_manager | https://github.com/microprediction/precise/blob/main/precise/skaters/managers/schurmanagers.py | +| schur_weak_weak_pm_t0_r025_n50_s5_g080_long_manager | https://github.com/microprediction/precise/blob/main/precise/skaters/managers/schurmanagers.py | +| schur_weak_weak_pm_t0_r025_n50_s5_g090_long_manager | https://github.com/microprediction/precise/blob/main/precise/skaters/managers/schurmanagers.py | +| equal_long_manager | https://github.com/microprediction/precise/blob/main/precise/skaters/managers/equalmanagers.py | +| equal_check_long_manager | https://github.com/microprediction/precise/blob/main/precise/skaters/managers/equalmanagers.py | +| ldp_s5_n50_long_manager | https://github.com/microprediction/precise/blob/main/precise/skaters/managers/ldpmanagers.py | +| ldp_s25_n50_long_manager | https://github.com/microprediction/precise/blob/main/precise/skaters/managers/ldpmanagers.py | +| ldp_s5_n100_long_manager | https://github.com/microprediction/precise/blob/main/precise/skaters/managers/ldpmanagers.py | +| ldp_s25_n100_long_manager | https://github.com/microprediction/precise/blob/main/precise/skaters/managers/ldpmanagers.py | +| molyboga_r025_s5_gamma000_long_manager | https://github.com/microprediction/precise/blob/main/precise/skaters/managers/molybogamanagers.py | +| molyboga_r001_s5_gamma000_long_manger | https://github.com/microprediction/precise/blob/main/precise/skaters/managers/molybogamanagers.py | +| molyboga_r025_s25_gamma000_long_manager | https://github.com/microprediction/precise/blob/main/precise/skaters/managers/molybogamanagers.py | +| molyboga_r001_s25_gamma000_long_manger | https://github.com/microprediction/precise/blob/main/precise/skaters/managers/molybogamanagers.py | +| molyboga_r025_s100_gamma000_long_manager | https://github.com/microprediction/precise/blob/main/precise/skaters/managers/molybogamanagers.py | +| molyboga_r001_s100_gamma000_long_manger | https://github.com/microprediction/precise/blob/main/precise/skaters/managers/molybogamanagers.py | +| molyboga_r025_s5_gamma100_long_manager | https://github.com/microprediction/precise/blob/main/precise/skaters/managers/molybogamanagers.py | +| molyboga_r001_s5_gamma100_long_manger | https://github.com/microprediction/precise/blob/main/precise/skaters/managers/molybogamanagers.py | +| molyboga_r025_s25_gamma100_long_manager | https://github.com/microprediction/precise/blob/main/precise/skaters/managers/molybogamanagers.py | +| molyboga_r001_s25_gamma100_long_manger | https://github.com/microprediction/precise/blob/main/precise/skaters/managers/molybogamanagers.py | +| molyboga_r025_s100_gamma100_long_manager | https://github.com/microprediction/precise/blob/main/precise/skaters/managers/molybogamanagers.py | +| molyboga_r001_s100_gamma100_long_manger | https://github.com/microprediction/precise/blob/main/precise/skaters/managers/molybogamanagers.py | +| slurp_vol_r025_s5_p20_g000_long_manager | https://github.com/microprediction/precise/blob/main/precise/skaters/managers/slurpmanagers.py | +| slurp_vol_r001_s5_p20_g000_long_manger | https://github.com/microprediction/precise/blob/main/precise/skaters/managers/slurpmanagers.py | +| slurp_vol_r025_s25_p20_g000_long_manager | https://github.com/microprediction/precise/blob/main/precise/skaters/managers/slurpmanagers.py | +| slurp_vol_r001_s25_p20_g000_long_manger | https://github.com/microprediction/precise/blob/main/precise/skaters/managers/slurpmanagers.py | +| slurp_vol_r025_s100_p20_g000_long_manager | https://github.com/microprediction/precise/blob/main/precise/skaters/managers/slurpmanagers.py | +| slurp_vol_r001_s100_p20_g000_long_manger | https://github.com/microprediction/precise/blob/main/precise/skaters/managers/slurpmanagers.py | +| slurp_vol_r025_s5_p20_g100_long_manager | https://github.com/microprediction/precise/blob/main/precise/skaters/managers/slurpmanagers.py | +| slurp_vol_r001_s5_p20_g100_long_manger | https://github.com/microprediction/precise/blob/main/precise/skaters/managers/slurpmanagers.py | +| slurp_vol_r025_s25_p20_g100_long_manager | https://github.com/microprediction/precise/blob/main/precise/skaters/managers/slurpmanagers.py | +| slurp_vol_r001_s25_p20_g100_long_manger | https://github.com/microprediction/precise/blob/main/precise/skaters/managers/slurpmanagers.py | +| slurp_vol_r025_s100_p20_g100_long_manager | https://github.com/microprediction/precise/blob/main/precise/skaters/managers/slurpmanagers.py | +| slurp_vol_r001_s100_p20_g100_long_manger | https://github.com/microprediction/precise/blob/main/precise/skaters/managers/slurpmanagers.py | +| rp_ewa_r01_p0_long_manager | https://github.com/microprediction/precise/blob/main/precise/skaters/managers/rpmanagers.py | +| rp_ewa_r02_p0_long_manager | https://github.com/microprediction/precise/blob/main/precise/skaters/managers/rpmanagers.py | +| rp_ewa_r05_p0_long_manager | https://github.com/microprediction/precise/blob/main/precise/skaters/managers/rpmanagers.py | +| rp_ewa_r01_p20_long_manager | https://github.com/microprediction/precise/blob/main/precise/skaters/managers/rpmanagers.py | +| rp_ewa_r02_p20_long_manager | https://github.com/microprediction/precise/blob/main/precise/skaters/managers/rpmanagers.py | +| rp_ewa_r05_p20_long_manager | https://github.com/microprediction/precise/blob/main/precise/skaters/managers/rpmanagers.py | +| rp_ewa_r01_p40_long_manager | https://github.com/microprediction/precise/blob/main/precise/skaters/managers/rpmanagers.py | +| rp_ewa_r02_p40_long_manager | https://github.com/microprediction/precise/blob/main/precise/skaters/managers/rpmanagers.py | +| rp_ewa_r05_p40_long_manager | https://github.com/microprediction/precise/blob/main/precise/skaters/managers/rpmanagers.py | +| rp_ewa_r01_p59_long_manager | https://github.com/microprediction/precise/blob/main/precise/skaters/managers/rpmanagers.py | +| rp_ewa_r02_p59_long_manager | https://github.com/microprediction/precise/blob/main/precise/skaters/managers/rpmanagers.py | +| rp_ewa_r05_p59_long_manager | https://github.com/microprediction/precise/blob/main/precise/skaters/managers/rpmanagers.py | +| rp_ewa_r01_p60_long_manager | https://github.com/microprediction/precise/blob/main/precise/skaters/managers/rpmanagers.py | +| rp_ewa_r02_p60_long_manager | https://github.com/microprediction/precise/blob/main/precise/skaters/managers/rpmanagers.py | +| rp_ewa_r05_p60_long_manager | https://github.com/microprediction/precise/blob/main/precise/skaters/managers/rpmanagers.py | +| rp_ewa_r01_p61_long_manager | https://github.com/microprediction/precise/blob/main/precise/skaters/managers/rpmanagers.py | +| rp_ewa_r02_p61_long_manager | https://github.com/microprediction/precise/blob/main/precise/skaters/managers/rpmanagers.py | +| rp_ewa_r05_p61_long_manager | https://github.com/microprediction/precise/blob/main/precise/skaters/managers/rpmanagers.py | +| rp_ewa_r01_p80_long_manager | https://github.com/microprediction/precise/blob/main/precise/skaters/managers/rpmanagers.py | +| rp_ewa_r02_p80_long_manager | https://github.com/microprediction/precise/blob/main/precise/skaters/managers/rpmanagers.py | +| rp_ewa_r05_p80_long_manager | https://github.com/microprediction/precise/blob/main/precise/skaters/managers/rpmanagers.py | +| rp_ewa_r01_p40_l20_long_manager | https://github.com/microprediction/precise/blob/main/precise/skaters/managers/rpmanagers.py | +| rp_ewa_r01_p40_l21_long_manager | https://github.com/microprediction/precise/blob/main/precise/skaters/managers/rpmanagers.py | +| rp_weak_pm_t0_r01_p40_l20_long_manager | https://github.com/microprediction/precise/blob/main/precise/skaters/managers/rpmanagers.py | +| rp_weak_pm_t0_p40_l21_long_manager | https://github.com/microprediction/precise/blob/main/precise/skaters/managers/rpmanagers.py | +| rp_ewa_r01_p20_l20_long_manager | https://github.com/microprediction/precise/blob/main/precise/skaters/managers/rpmanagers.py | +| rp_ewa_r01_p20_l21_long_manager | https://github.com/microprediction/precise/blob/main/precise/skaters/managers/rpmanagers.py | diff --git a/LITERATURE.md b/LITERATURE.md new file mode 100644 index 00000000..9dc04032 --- /dev/null +++ b/LITERATURE.md @@ -0,0 +1,1467 @@ +In no particular order. The scope is robust diversified portfolios and things that help. To add to this list or correct an entry, ideally: + + 1. Fork the repo (top right) + 2. Edit this file. + 3. Submit a pull request (also possible with a click or two). + +Or file an [issue](https://github.com/microprediction/precise/issues). + + +## Agnostic Risk Parity Taming Known and Unknown-Unknowns [pdf](https://arxiv.org/pdf/1610.08818) +Raphael Benichou, Yves Lempérière, Emmanuel Sérié, Julien Kockelkoren, Philip Seager, Jean-Philippe Bouchaud & Marc Potters + +Markowitz’ celebrated optimal portfolio theory generally fails to deliver out-of-sample diversification. In this note, we propose a new portfolio construction strategy based on symmetry arguments only, leading +to “Eigenrisk Parity” portfolios that achieve equal realized risk on all +the principal components of the covariance matrix. This holds true +for any other definition of uncorrelated factors. We then specialize our +general formula to the most agnostic case where the indicators of future +returns are assumed to be uncorrelated and of equal variance. This +“Agnostic Risk Parity” (AGP) portfolio minimizes unknown-unknown +risks generated by over-optimistic hedging of the different bets. AGP is +shown to fare quite well when applied to standard technical strategies +such as trend following + +## OPTIMAL DATA SPLITTING FOR HOLDOUT CROSS-VALIDATION IN LARGE COVARIANCE MATRIX ESTIMATION [arxiv](https://arxiv.org/pdf/2503.15186) +Lamia Lamrani, Christian Bongiorno, Marc Potters + +Cross-validation is a statistical tool that can be used to improve large covariance matrix estimation. +Although its efficiency is observed in practical applications, the theoretical reasons behind it remain +largely intuitive, with formal proofs currently lacking. To carry on analytical analysis, we focus on +the holdout method, a single iteration of cross-validation, rather than the traditional k-fold approach. +We derive a closed-form expression for the estimation error when the population matrix follows a +white inverse Wishart distribution, and we observe the optimal train-test split scales as the square root +of the matrix dimension. For general population matrices, we connected the error to the variance of +eigenvalues distribution, but approximations are necessary. Interestingly, in the high-dimensional +asymptotic regime, both the holdout and k-fold cross-validation methods converge to the optimal +estimator when the train-test ratio scales with the square root of the matrix dimension + +## Practical Portfolio Optimization with Metaheuristics Pre-assignment Constraint and Margin Trading [arxiv](https://arxiv.org/pdf/2503.15965) +Hang Kin Poon + +Portfolio optimization is a critical area in finance, aiming to maximize +returns while minimizing risk. Metaheuristic algorithms were shown to solve +complex optimization problems efficiently, with Genetic Algorithms and Particle +Swarm Optimization being among the most popular methods. This paper introduces an innovative approach to portfolio optimization that incorporates pre-assignment to limit the search space for investor preferences and better results. Additionally, taking margin trading strategies in account and using a rare performance ratio to evaluate portfolio efficiency. Through an illustrative example, this +paper demonstrates that the metaheuristic-based methodology yields superior +risk-adjusted returns compared to traditional benchmarks. The results highlight +the potential of metaheuristics with help of assets filtering in enhancing portfolio +performance in terms of risk adjusted return. + +## Weighted Average Ensemble for Cholesky-based Covariance Matrix Estimation [arxiv](https://arxiv.org/pdf/2503.15991) +Xiaoning Kang, Zhenguo Gao, Xi Liang and Xinwei Deng + +The modified Cholesky decomposition (MCD) is an efficient technique for estimating +a covariance matrix. However, it is known that the MCD technique often requires +a pre-specified variable ordering in the estimation procedure. In this work, we propose a weighted average ensemble covariance estimation for high-dimensional data +based on the MCD technique. It can flexibly accommodate the high-dimensional +case and ensure the positive definiteness property of the resultant estimate. Our key +idea is to obtain different weights for different candidate estimates by minimizing +an appropriate risk function with respect to the Frobenius norm. Different from +the existing ensemble estimation based on the MCD, the proposed method provides +a sparse weighting scheme such that one can distinguish which variable orderings +employed in the MCD are useful for the ensemble matrix estimate. The asymptotically theoretical convergence rate of the proposed ensemble estimate is established +under regularity conditions. The merits of the proposed method are examined by +the simulation studies and a portfolio allocation example of real stock data. + +## Disciplined Geodesically Convex Programming [pdf](https://arxiv.org/pdf/2407.05261) +Andrew N. Cheng, Vaibhav Dixit, Melanie Weber + +Convex programming plays a fundamental role in machine learning, data science, and engineering. Testing convexity structure in nonlinear programs relies on verifying the convexity of objectives and constraints. Grant et al. (2006) introduced a framework, Disciplined Convex +Programming (DCP), for automating this verification task for a wide range of convex functions that can be decomposed into basic convex functions (atoms) using convexity-preserving compositions and transformations (rules). However, the restriction to Euclidean convexity +concepts can limit the applicability of the framework. For instance, many notable instances of statistical estimators and matrix-valued (sub)routines in machine learning applications are Euclidean non-convex, but exhibit geodesic convexity through a more general Riemannian +lens. In this work, we extend disciplined programming to this setting by introducing Disciplined Geodesically Convex Programming (DGCP). We determine convexity-preserving compositions and transformations for geodesically convex functions on general Cartan-Hadamard +manifolds, as well as for the special case of symmetric positive definite matrices, a common +setting in matrix-valued optimization. For the latter, we also define a basic set of atoms. +Our paper is accompanied by a Julia package SymbolicAnalysis.jl, which provides functionality for testing and certifying DGCP-compliant expressions. Our library interfaces with +manifold optimization software, which allows for directly solving verified geodesically convex +programs + +## Risk budget portfolios with convex Non-negative Matrix Factorization [arxiv](https://arxiv.org/abs/2204.02757v2) +Bruno Spilak, Wolfgang Karl Härdle + +We propose a portfolio allocation method based on risk factor budgeting using convex Nonnegative Matrix Factorization (NMF). Unlike classical factor analysis, PCA, or ICA, NMF ensures positive factor loadings to obtain interpretable long-only portfolios. As the NMF factors represent separate sources of risk, they have a quasi-diagonal correlation matrix, promoting diversified portfolio allocations. We evaluate our method in the context of volatility targeting on two long-only global portfolios of cryptocurrencies and traditional assets. Our method outperforms classical portfolio allocations regarding diversification and presents a better risk profile than hierarchical risk parity (HRP). We assess the robustness of our findings using Monte Carlo simulation. + +## Improved Deep Learning Methods for Large-Scale Dynamic Portfolio Choice [arxiv](https://arxiv.org/pdf/2501.12600) [discussion](https://www.linkedin.com/posts/petercotton_improved-deep-learning-methods-for-large-scale-activity-7288058274959003648-zMiT?utm_source=share&utm_medium=member_desktop) +Jeonggyu Huh1, Hyeng Keun Koo2, and Jaegi Jeon + +We present a Pontryagin-Guided Direct Policy Optimization (PG-DPO) +method that scales dynamic portfolio choice—including consumption and +multi-asset investment—to tens of thousands of risky assets. By combining neural-network controls with Pontryagin’s Maximum Principle (PMP), +we avoid intractable dynamic programming (DP) grids, which traditionally +cannot handle more than six assets in practice. Instead of approximating the +value function (as in deep backward stochastic differential equation (BSDE) +methods), we track a policy-fixed adjoint process and align each gradient update with continuous-time PMP conditions. A “one-shot” variant deploys +Pontryagin controls after a brief warm-up, often achieving 100–1,000-fold +accuracy improvements over naive baselines. Crucially, on modern GPUs, +100,000 iterations typically take under an hour, while a few thousand iterations (often just 1–2 minutes) already yield near-optimal solutions for portfolios with thousands of assets. Numerical experiments confirm consistency +with one-asset Merton benchmarks and tractability up to 10,000 assets, surpassing the longstanding DP-based limit of fewer than seven. This enables +truly large-scale continuous-time portfolio optimization + +## Generative Meta-Learning Robust Quality-Diversity Portfolio [arxiv](https://arxiv.org/abs/2307.07811) [code](https://github.com/kayuksel/robust-qd-portfolio-ensemble?tab=readme-ov-file) +Kamer Ali Yuksel + +This paper proposes a novel meta-learning approach to optimize a robust portfolio ensemble. The method uses a deep generative model to generate diverse and high-quality sub-portfolios combined to form the ensemble portfolio. The generative model consists of a convolutional layer, a stateful LSTM module, and a dense network. During training, the model takes a randomly sampled batch of Gaussian noise and outputs a population of solutions, which are then evaluated using the objective function of the problem. The weights of the model are updated using a gradient-based optimizer. The convolutional layer transforms the noise into a desired distribution in latent space, while the LSTM module adds dependence between generations. The dense network decodes the population of solutions. The proposed method balances maximizing the performance of the sub-portfolios with minimizing their maximum correlation, resulting in a robust ensemble portfolio against systematic shocks. The approach was effective in experiments where stochastic rewards were present. Moreover, the results (Fig. 1) demonstrated that the ensemble portfolio obtained by taking the average of the generated sub-portfolio weights was robust and generalized well. The proposed method can be applied to problems where diversity is desired among co-optimized solutions for a robust ensemble. The source-codes and the dataset are in the supplementary material. + +## A mixture transition distribution approach to portfolio optimization [pdf](https://arxiv.org/pdf/2501.04646) +R. DE BLASIS and L. GALATI and F. PETRONI + +Understanding the dependencies among financial assets is critical for portfolio optimization. Traditional +approaches based on correlation networks often fail to capture the nonlinear and directional relationships +that exist in financial markets. In this study, we construct directed and weighted financial networks +using the Mixture Transition Distribution (MTD) model, offering a richer representation of asset interdependencies. We apply local assortativity measures—metrics that evaluate how assets connect based on +similarities or differences—to guide portfolio selection and allocation. Using data from the Dow Jones 30, +Euro Stoxx 50, and FTSE 100 indices constituents, we show that portfolios optimized with network-based +assortativity measures consistently outperform the classical mean-variance framework. Notably, modalities in which assets with differing characteristics connect enhance diversification and improve Sharpe +ratios. The directed nature of MTD-based networks effectively captures complex relationships, yielding portfolios with superior risk-adjusted returns. Our findings highlight the utility of network-based +methodologies in financial decision-making, demonstrating their ability to refine portfolio optimization +strategies. This work thus underscores the potential of leveraging advanced financial networks to achieve +enhanced performance, offering valuable insights for practitioners and setting a foundation for future +research. + +## Synthetic Data for Portfolios: A Throw of the Dice Will Never Abolish Chance [pdf](https://arxiv.org/pdf/2501.03993) +Adil Rengim CETINGOZ, Charles-Albert LEHALLE + +Simulation methods have always been instrumental in finance, and data-driven methods with minimal model specification—commonly referred to as generative models—have attracted increasing attention, especially after the success of deep learning in a broad range +of fields. However, the adoption of these models in financial applications has not kept pace with the growing interest, probably due to the unique complexities and challenges of financial markets. This paper aims to contribute to a deeper understanding of the limitations of generative models, particularly in portfolio and risk management. To this end, we begin by presenting theoretical results on the importance of initial sample size, and point out the potential pitfalls of generating far more data than originally available. We then highlight the inseparable nature of model development and the desired use case by touching on a paradox: generic generative models inherently care less about what is important for constructing portfolios (in particular the long-short ones). Based on these findings, we propose a pipeline for the generation of multivariate returns that meets conventional evaluation standards on a large universe of US equities while being compliant with stylized facts observed in asset returns and turning around the pitfalls we previously identified. Moreover, we insist on the need for more delicate evaluation methods, and suggest, through an example of mean-reversion strategies, a method designed to identify poor models for a given application based on regurgitative training, i.e. retraining the model using the data it has itself +generated, which is commonly referred to in statistics as identifiability. + +*Remark: As an example, most generative models learn the higher variance directions which are the least important in a min-var portfolio* + +## Generalized Inverse Optimization through Online Learning [arxiv](https://arxiv.org/abs/1810.01920) +Chaosheng Dong, Yiran Chen, Bo Zeng + +Inverse optimization is a powerful paradigm for learning preferences and restrictions that explain the behavior of a decision maker, based on a set of external signal and the corresponding decision pairs. However, most inverse optimization algorithms are designed specifically in batch setting, where all the data is available in advance. As a consequence, there has been rare use of these methods in an online setting suitable for real-time applications. In this paper, we propose a general framework for inverse optimization through online learning. Specifically, we develop an online learning algorithm that uses an implicit update rule which can handle noisy data. Moreover, under additional regularity assumptions in terms of the data and the model, we prove that our algorithm converges at a rate of (1/√T) and is statistically consistent. In our experiments, we show the online learning approach can learn the parameters with great accuracy and is very robust to noises, and achieves a dramatic improvement in computational efficacy over the batch learning approach. + +## Learning Risk Preferences from Investment Portfolios Using Inverse Optimization [arxiv](https://arxiv.org/pdf/2010.01687) +Shi Yu, Chaosheng Dong + +The fundamental principle in Modern Portfolio Theory (MPT) is +based on the quantification of the portfolio’s risk related to performance. Although MPT has made huge impacts to the investment world and prompted the success and prevalence of passive investing, +it still has shortcomings in real-world applications. One of the main +challenges is that the level of risk an investor can endure, known +as risk-preference, is a subjective choice that is tightly related to +psychology and behavioral science in decision making. This paper +presents a novel approach of measuring risk preference from existing portfolios using inverse optimization on mean-variance portfolio allocation framework. Our approach allows the learner to continuously estimate real-time risk preferences using concurrent observed portfolios and market price data. We demonstrate our methods on +robotic investment portfolios and real market data that consists of 20 years of asset pricing and 10 years of mutual fund portfolio holdings. + +## Portfolio Allocation as an Inverse Problem [ssrn](https://papers.ssrn.com/sol3/papers.cfm?abstract_id=1317479) +Guillaume Simon, Anna Simoni + +Proceeding to portfolio allocation in the framework of Markowitz, a numerical inconsistency may occur when the sample covariance matrix of assets returns has to be inverted. This is mainly caused by the magnitude of its lowest eigenvalues. In this paper, we tackle the Markowitz problem as an inverse problem and give a spectral justification for the causes of instability of the inverse when computing the sample covariance matrix for portfolio allocation. We particularly detail the regularizing effect of two techniques commonly accepted in practice: Black-Litterman and shrinkage. Our aim is to make a spectral analysis of these techniques and to analyze whether they can be related to regularization schemes or interpreted within a Bayesian setting. + + +## A Mean/Variance Analysis of Tracking Error [pdf](https://www.anderson.ucla.edu/documents/areas/fac/finance/1992-2.pdf) +Richard Roll + +Minimizing the volatility of tracking error will not produce a more efficient managed portfolio. + +## Passive Investment Styles [pdf](https://papers.ssrn.com/sol3/papers.cfm?abstract_id=5024011) +Tom Ernst, Monika Gehde-Trapp, Holger Kraft + +Passive investment funds hold cash, for example to honor redemption claims. We show that in the presence of cash there is no uniquely optimal passive strategy. Instead a trade-off arises: Minimizing tracking error generates a return gap, whereas closing this gap increases tracking error. This gives rise to different passive investment styles. We theoretically and empirically document that three different styles exist, which cater to three different investor types. Furthermore, the existence of cash inevitably leads to deviations from the benchmark (positive and negative) if a fund minimizes tracking error. As a consequence, the passive industry as a whole generates a heterogeneous price impact in the cross section of stock returns resulting from these deviations. + + + +## Trans-Glasso: A Transfer Learning Approach to Precision Matrix Estimation [arxiv](https://arxiv.org/pdf/2411.15624) +Boxin Zhao1, Cong Ma2 , and Mladen Kolar + +Precision matrix estimation is essential in various fields, yet it is challenging when +samples for the target study are limited. Transfer learning can enhance estimation accuracy by leveraging data from related source studies. We propose Trans-Glasso, a two-step +transfer learning method for precision matrix estimation. First, we obtain initial estimators using a multi-task learning objective that captures shared and unique features +across studies. Then, we refine these estimators through differential network estimation +to adjust for structural differences between the target and source precision matrices. +Under the assumption that most entries of the target precision matrix are shared with +source matrices, we derive non-asymptotic error bounds and show that Trans-Glasso +achieves minimax optimality under certain conditions. Extensive simulations demonstrate Trans-Glasso ’s superior performance compared to baseline methods, particularly +in small-sample settings. We further validate Trans-Glasso in applications to gene networks across brain tissues and protein networks for various cancer subtypes, showcasing +its effectiveness in biological contexts. Additionally, we derive the minimax optimal rate +for differential network estimation, representing the first such guarantee in this area. + +## Graph-Based Methods for Forecasting Realized Covariances [JoFE](https://academic.oup.com/jfec/advance-article/doi/10.1093/jjfinec/nbae026/7889003?login=false) +Chao Zhang, Xingyue Pu, Mihai Cucuringu, Xiaowen Dong + +We forecast the realized covariance matrix of asset returns in the U.S. equity market by exploiting the predictive information of graphs in volatility and correlation. Specifically, we augment the Heterogeneous Autoregressive model via neighborhood aggregation on these graphs. Our proposed method allows for the modeling of interdependence in volatility (also known as spillover effect) and correlation, while maintaining parsimony and interpretability. We explore various graph construction methods, including sector membership and graphical LASSO (for modeling volatility), and line graph (for modeling correlation). The results generally suggest that the augmented model incorporating graph information yields both statistically and economically significant improvements for out-of-sample performance over the traditional models. Such improvements remain significant over horizons up to 1 month ahead, but decay in time. The robustness tests demonstrate that the forecast improvements are obtained consistently over the different out-of-sample sub-periods and are insensitive to measurement errors of volatilities. + + +## Squeezing Financial Noise: A Novel Approach to Covariance Matrix Estimation [ssrn](https://papers.ssrn.com/sol3/papers.cfm?abstract_id=4986939) +Sander Gerber et al + +We introduce a technique which can be used to manipulate the noise present in financial data in order to better estimate a covariance matrix. The technique, which we refer to as squeezing, parameterizes statistical distributional alignment so that we can vectorize co-movement noise. Squeezing underpins a novel approach to portfolio optimization in which the covariance matrix may be determined on an objective-specific basis. Our model-free approach more fully explores the eigenspace of the estimated matrix and is applicable across the dimensionality range of portfolio size and concentration. Squeezing is shown to outperform popular techniques used to treat noise in financial covariance matrices + +## Universal Portfolios [pdf](https://web.mit.edu/6.454/www/www_fall_2001/shaas/universal_portfolios.pdf) +Tom Cover + +We exhibit an algorithm for portfolio selection that asymptotically outperforms the best stock in the market. + + +## Shrinking the eigenvalues of M-estimators of covariance matrix [pdf](https://arxiv.org/pdf/2006.10005) +Daniel P. Palomar, Frederic Pascal + +A highly popular regularized (shrinkage) covariance +matrix estimator is the shrinkage sample covariance matrix +(SCM) which shares the same set of eigenvectors as the SCM but +shrinks its eigenvalues toward the grand mean of the eigenvalues +of the SCM. In this paper, a more general approach is considered +in which the SCM is replaced by an M-estimator of scatter +matrix and a fully automatic data adaptive method to compute +the optimal shrinkage parameter with minimum mean squared +error is proposed. Our approach permits the use of any weight +function such as Gaussian, Huber’s, Tyler’s, or t weight functions, +all of which are commonly used in M-estimation framework. Our +simulation examples illustrate that shrinkage M-estimators based +on the proposed optimal tuning combined with robust weight +function do not loose in performance to shrinkage SCM estimator +when the data is Gaussian, but provide significantly improved +performance when the data is sampled from an unspecified +heavy-tailed elliptically symmetric distribution. Also, real-world +and synthetic stock market data validate the performance of the +proposed method in practical applications + + +## The Factorization of Sparse Symmetric Indefinite Matrices [pdf](https://www.numerical.rl.ac.uk/media/people/nick-gould/DuffGoulReidScot91_imajna.pdf) +Duff et al + +The Harwell multifrontal code MA27 is able to solve symmetric indefinite systems +of linear equations such as those that arise from least-squares and constrained +optimization algorithms, but may sometimes lead to many more arithmetic +operations being needed to factorize the matrix than is required by other +strategies. In this paper, we report on the results of our investigation of this +problem. We have concentrated on seeking new strategies that preserve the +multifrontal principle but follow the sparsity structure more closely in the case +when some of the diagonal entries are zero. + + +## Constrained Max Drawdown [pdf](https://arxiv.org/pdf/2401.02601) +Albert Dorador + +We propose an alternative linearization to the classical Markowitz quadratic portfolio optimization model, based on maximum drawdown. This model, which minimizes maximum portfolio drawdown, is particularly appealing during times of financial distress, like during the COVID-19 pandemic. In addition, we will present a Mixed-Integer Linear Programming variation of our new model that, based on our out-of-sample results and sensitivity analysis, delivers a more profitable and robust solution with a 200 times faster solving time compared to the standard Markowitz quadratic formulation. + +## Geodesically Parametrized Covariance Estimation [pdf](https://arxiv.org/pdf/2001.01805) +ANTONI MUSOLAS, STEVEN T. SMITH, AND YOUSSEF MARZOUK + +Statistical modeling of spatiotemporal phenomena often requires selecting a covariance matrix from +a covariance class. Yet standard parametric covariance families can be insufficiently flexible for practical applications, while non-parametric approaches may not easily allow certain kinds of prior knowledge to be incorporated. We propose instead to build covariance families out of geodesic curves. These covariances offer more flexibility for problem-specific tailoring than classical parametric families, and are preferable to simple convex combinations. Once the covariance family has been chosen, one typically needs to select a representative member by solving an optimization problem, e.g., by maximizing the likelihood of a data set. We consider instead a differential geometric interpretation of this problem: minimizing the geodesic distance to a sample covariance matrix (“natural projection”). Our approach is consistent with the notion of distance employed to build the covariance family and does not require assuming a particular probability distribution for the data. We show that natural projection and maximum likelihood estimation within the covariance family are locally equivalent up to second order. We also demonstrate +that natural projection may yield more accurate estimates with noise-corrupted data + +## Portfolio Optimization. Theory and Application (Book) [html](https://bookdown.org/palomar/portfoliooptimizationbook/) +Daniel P. Palomar + +This book explores practical financial data modeling and portfolio optimization, covering a wide range of variations and extensions. It systematically starts with mathematical formulations and proceeds to develop practical numerical algorithms, supplemented with code examples to enhance understanding. + +## Efficient and Scalable Parametric High-Order Portfolios Design via the Skew-t Distribution [pdf](https://palomar.home.ece.ust.hk/papers/2023/WangZhouYingPalomar-TSP2023.pdf) +Xiwen Wang , Rui Zhou, Jiaxi Ying , and Daniel P. Palomar + +Since Markowitz’s mean-variance framework, optimizing a portfolio that strikes a trade-off between maximizing profit and minimizing risk has been ubiquitous in the financial industry. Initially, profit and risk were measured by the first two moments of the portfolio’s return, a.k.a. the mean +and variance, which are sufficient to characterize a Gaussian +distribution. However, it is broadly believed that the first two +moments are not enough to capture the characteristics of the +returns’ behavior, which have been recognized to be asymmetric +and heavy-tailed. Although portfolio designs involving the third +and fourth moments, i.e., skewness and kurtosis, have been +demonstrated to outperform the conventional mean-variance +framework, they present non-trivial challenges. Specifically, in +the classical framework, the memory and computational cost +of computing the skewness and kurtosis grow sharply with the +number of assets. To alleviate the difficulty in high-dimensional +problems, we consider an alternative expression for high-order +moments based on parametric representations via a generalized +hyperbolic skew-t distribution. Then, we reformulate the highorder portfolio optimization problem as a fixed-point problem and propose a robust fixed-point acceleration algorithm that +solves the problem in an efficient and scalable manner. Empirical +experiments also attest to the efficiency of our proposed highorder portfolio optimization framework, which presents low complexity and significantly outperforms the state-of-the-art +methods by 2 ∼ 4 orders of magnitude + +## Optimal Portfolio Size under Parameter Uncertainty [ssrn](https://papers.ssrn.com/sol3/papers.cfm?abstract_id=4886000) +Nathan Lassance, Rodolphe Vanderveken,Frédéric D. Vrins + +Estimation risk in portfolio selection can be mitigated with sparse approaches such as lasso that penalizes for the norm of the portfolio weights and excludes assets from the investment universe. The latter are revealed a posteriori, by identifying which assets receive an optimal weight of zero. We show instead that in the presence of parameter uncertainty, it is desirable to remove assets before computing the portfolio weights. In particular, we show that the optimal portfolio size strikes a tradeoff between accessing additional investment opportunities and limiting estimation risk. Our approach disentangles the determination of the optimal portfolio size from the asset selection rule, making it more easily implementable and robust to estimation risk than alternative sparse methods. Empirically, our restricted portfolios substantially outperform their counterparts applied to all available assets. Our methodology renders portfolio theory valuable even when the full dataset dimension is comparable to the sample size. + +## Optimal Portfolio Diversification via Independent Component Analysis [ssrn](https://papers.ssrn.com/sol3/papers.cfm?abstract_id=3285156) +Nathan Lassance, Victor DeMiguel, Frédéric D. Vrins + +A natural approach to enhance portfolio diversification is to rely on factor-risk parity, which yields the portfolio whose risk is equally spread among a set of uncorrelated factors. The standard choice is to take the variance as risk measure, and the principal components (PCs) of asset returns as factors. Although PCs are unique and useful for dimension reduction, they are an arbitrary choice: any rotation of the PCs results in uncorrelated factors. This is problematic because we demonstrate that any portfolio is a factor-variance-parity portfolio for some rotation of the PCs. More importantly, choosing the PCs does not account for the higher moments of asset returns. To overcome these issues, we propose to use the independent components (ICs) as factors, which are the rotation of the PCs that are maximally independent, and care about higher moments of asset returns. We demonstrate that using the IC-variance-parity portfolio helps to reduce the return kurtosis. We also show how to exploit the near independence of the ICs to parsimoniously estimate the factor-risk-parity portfolio based on Value-at-Risk. Finally, we empirically demonstrate that portfolios based on ICs outperform those based on PCs, and several state-of-the-art benchmarks. + +## Robust Portfolio Selection Based on Copula Change Analysis [via](https://www.researchgate.net/publication/331394689_Robust_Portfolio_Selection_Based_on_Copula_Change_Analysis) + +Yingwei Han, Ping Li, Jie Li, Sanmang Wu + +In this article, we construct a robust portfolio selection model based on dynamic copulas. We first use a type of dynamic copula, which contains copulas with time-varying parameters or sequence of copulas, to characterize the dynamic dependence between financial assets. Then, we use it for portfolio selection based on worst-case Conditional Value-at-Risk (WCVaR). In the empirical part we choose four representative assets from Chinese market to construct a macro asset allocation of portfolio and make the performance analysis. Results show that our method performs the best in out-of-sample tests when considering the dynamic dependence between assets and the uncertainty in the estimated model. + +## A new distributionally robust reward-risk model for portfolio optimization [pdf](https://www.degruyter.com/document/doi/10.1515/math-2024-0010/pdf?licenseType=open-access) +Yijia Zhou and Lijun Xu + +A new distributionally robust ratio optimization model is proposed under the known first and second moments of the uncertain distributions. In this article, both standard deviation (SD) and conditional value-at-risk (CVaR) are used to measure the risk, avoiding both fat-tail and volatility. The new model can be reduced to a simple distributionally robust model under assumptions on the measurements of reward, CVaR and SD. Furthermore, it can be rewritten as a tractable semi-definite programming problem by the duality theorem under partially known information of the uncertain parameters. Finally, the model is tested on portfolio problems and verified from numerical results that it can give a reasonable decision under only the first and second moments. + + +## Robust and Sparse Portfolio: Optimization Models and Algorithms [pdf](https://www.mdpi.com/2227-7390/11/24/4925) +Hongxin Zhao, Yilun Jiang, and Yizhou Yang + +The robust and sparse portfolio selection problem is one of the most-popular and -frequently studied problems in the optimization and financial literature. By considering the uncertainty of the parameters, the goal is to construct a sparse portfolio with low volatility and decent returns, subject to other investment constraints. In this paper, we propose a new portfolio selection model, which considers the perturbation in the asset return matrix and the parameter uncertainty in the expected asset return. We define three types of stationary points of the penalty problem: the Karush–Kuhn–Tucker point, the strong Karush–Kuhn–Tucker point, and the partial minimizer. We analyze the relationship between these stationary points and the local/global minimizer of the penalty model under mild conditions. We design a penalty alternating-direction method to obtain the solutions. Compared with several existing portfolio models on seven real-world datasets, extensive numerical experiments demonstrate the robustness and effectiveness of our model in generating lower volatility. + +## Robust Multi-period Portfolio Selection Based on Downside Risk with Asymmetrically Distributed Uncertainty Set [pdf](https://www.researchgate.net/publication/330326468_Robust_Multi-period_Portfolio_Selection_Based_on_Downside_Risk_with_Asymmetrically_Distributed_Uncertainty_Set) + +Aifan Ling, Jie Sun, Meihua Wang + +Motivated by the asymmetrical attitudes of investors towards downside losses and upside gains, this paper proposes a robust multi-period portfolio selection model based on downside risk with asymmetrically distributed uncertainty set, in which the downside losses of a portfolio are controlled by the lower partial moment (LPM). A computationally tractable approximation approach based on second-order cone optimization is used for solving the proposed model. We show in theory that the optimal solution of the robust model can generate a given probability guarantee for individual and joint stochastic constraints. The effect of the asymmetrically distributed uncertainty set on performance of the optimal solution is analyzed by the usual comparative static method. Comprehensive numerical comparisons with real market data are reported and indicate that the proposed model can obtain the smaller standard deviation and turnover ratios which reduce the Sharpe ratios of optimal portfolio, compared with some well-known models in the literature. + + +## Risk Parity Portfolio Optimization under Heavy-Tailed Returns and Time-Varying Volatility [ssrn](https://papers.ssrn.com/sol3/papers.cfm?abstract_id=4652551) +Marc S. Paolella, Pawel Polak, Patrick S. Walker + +Risk parity portfolio optimization, using expected shortfall as the risk measure, is investigated when asset returns are fat-tailed and heteroscedastic. The conditional return distribution is modeled by an elliptical multivariate generalized hyperbolic distribution, allowing for fast parameter estimation, via an expectation-maximization algorithm and a semi-closed form of the risk contributions. The efficient computation of non-Gaussian risk parity weights sidesteps the need for numerical simulations or Cornish-Fisher-type approximations. Accounting for fat-tailed returns, the risk parity allocation is less sensitive to volatility shocks, thereby generating lower portfolio turnover, in particular during market turmoils such as the global financial crisis. Although risk parity portfolios are surprisingly robust to the misuse of the Gaussian distribution, a more realistic model for conditional returns and time-varying volatilies can improve risk-adjusted returns, reduces turnover during periods of market stress and enables the use of a holistic risk model for portfolio and risk management. + +## The 1/N investment strategy is optimal under high model ambiguity [pdf](https://www-user.tu-chemnitz.de/~alopi/publications/uniformInvestRevision.pdf) +Georg Ch. Pfluga, Alois Pichlera, David Wozabalb + +The 1/N investment strategy, i.e. the strategy to split one’s wealth uniformly between the +available investment possibilities, recently received plenty of attention in the literature. In +this paper, we demonstrate that the uniform investment strategy is rational in situations where +an agent is faced with a sufficiently high degree of model uncertainty in the form of ambiguous +loss distributions. More specifically, we use a classical risk minimization framework to show +that, for a broad class of risk measures, as the uncertainty concerning the probabilistic model +increases, the optimal decisions tend to the uniform investment strategy. To illustrate the theoretical results of the paper, we investigate the Markowitz portfolio +selection model as well as Conditional Value-at-Risk minimization with ambiguous loss distributions. Subsequently, we set up a numerical study using real market data to demonstrate the +convergence of optimal portfolio decisions to the uniform investment strategy + +## On robust mean-variance portfolios [pdf](https://repository.bilkent.edu.tr/server/api/core/bitstreams/79bb8dd8-46d0-48ba-91eb-6ce2b400f77c/content) +Mustafa Ç. Pınar + +We derive closed-form portfolio rules for robust mean–variance portfolio +optimization where the return vector is uncertain or the mean return +vector is subject to estimation errors, both uncertainties being confined +to an ellipsoidal uncertainty set. We consider different mean–variance +formulations allowing short sales, and derive closed-form optimal portfolio +rules in static and dynamic settings. + +## Mean semi-deviation from a target and robust portfolio choice under distribution and mean return ambiguity [pdf](https://core.ac.uk/download/pdf/52923773.pdf) +Mustafa Ç. Pınar, A. Burak Paç + +We consider the problem of optimal portfolio choice using the lower partial moments +risk measure for a market consisting of n risky assets and a riskless asset. For when the +mean return vector and variance/covariance matrix of the risky assets are specified without +specifying a return distribution, we derive distributionally robust portfolio rules. We then +address potential uncertainty (ambiguity) in the mean return vector as well, in addition to +distribution ambiguity, and derive a closed-form portfolio rule for when the uncertainty in +the return vector is modelled via an ellipsoidal uncertainty set. Our result also indicates a +choice criterion for the radius of ambiguity of the ellipsoid. Using the adjustable robustness +paradigm we extend the single-period results to multiple periods, and derive closed-form +dynamic portfolio policies which mimic closely the single-period policy + +## Essays on Robust Portfolio Management [pdf](https://www.e-helvetica.nb.admin.ch/api/download/urn%3Anbn%3Ach%3Abel-1412461%3ADis4910.pdf/Dis4910.pdf) +Lukas Plachel + +Chapter 1 addresses the problems of traditional mean-variance optimization originating from model- and estimation errors. In order to simultaneously tackle both +error sources, a joint method for covariance regularization and robust optimization +is proposed which exploits the inherent complementarity between the two concepts. +Chapter 2 introduces a covariance estimation approach which is based solely on +characteristic company information. In contrast to traditional, time series based estimation procedures which typically lead to extreme and unreliable estimates, the proposed method produces stable covariance matrices which can be used if no time series +data is available, or complementary to traditional methods. We derive characteristicsbased covariance matrices for a US stock universe and use them as shrinkage targets in +a minimum variance optimization example. +Chapter 3 bridges the gap between MPT and one of the most vivid fields of contemporary research: Artificial Intelligence. A model is introduced which uses a Neural +Network to learn the relation between portfolio weights and arbitrary measures of +portfolio success. Based on the resulting approximation function, a Genetic Algorithm is employed to derive a near-optimal allocation. Two portfolio selection examples for the commodity and the equity market illustrate the potential to successfully +implement a wide scope of traditional and exotic investment strategies. + +## Robust Growth-Optimal Portfolios [pdf](https://core.ac.uk/download/pdf/76990543.pdf) +Napat Rujeerapaiboon + +A portfolio which has a maximum expected growth rate is often referred to in the literature as a logoptimal portfolio or a growth-optimal portfolio. The origin of the log-optimal portfolio is arguably +due to Kelly when he observed that logarithmic wealth is additive in sequential investments and +invented a betting strategy for gambling that relies on results from information theory. As a result of +the law of large numbers, if investment returns are serially independent and identically distributed, +the growth rate of any constant rebalanced portfolio (the log-optimal portfolio included) converges +to its expectation. Moreover, under such conditions, one of the strongest advantages of the logoptimal portfolio is that, when implemented repeatedly, the log-optimal portfolio outperforms any +other causal portfolio in the long run with probability 1. In other words, if all of these conditions +are met, there is no sequence of portfolios that has a higher growth rate than that of the log-optimal +portfolio. Stock markets however are different from casinos in the sense that investment returns are +not serially independent and identically distributed. Also, since trading incurs transaction costs, +investors are discouraged from making frequent trades. Plus, the probability distribution of stock +returns is never precisely known, which impedes the calculation of the log-optimal portfolio. In +this project, we generalize the results for the log-optimal portfolio. In particular, we establish similar guarantees for finite investment horizons where the distribution of stock returns is ambiguous. +By focusing on constant rebalanced portfolios, we exploit temporal symmetries to formulate the +emerging distributionally robust optimization problems as tractable conic programs whose sizes are +independent of the investment horizon. + +## Portfolio Optimization and Parameter Uncertainty [ssrn](https://papers.ssrn.com/sol3/papers.cfm?abstract_id=4709317) [code](https://os.fortitudo.tech) +Laura Kristensen and Anton Vorobets + +Portfolio optimization has a mixed reputation among investment managers, with some being so skeptical that they believe it is almost useless due to the inherent parameter uncertainty. It is undeniable that portfolio optimization problems are sensitive to parameter estimates, especially the expected returns that are arguably also the hardest parameters to estimate. However, most practitioners still attempt to build mean-risk optimal portfolios, albeit in implicit ways. Resampled optimization is a popular mathematical heuristic to tackle the parameter uncertainty issue. It computes optimal portfolios using sampled parameter estimates and calculates a simple average of the portfolio exposures across samples. The unsatisfactory aspect of the resampled approach is that there is no mathematical justification for using the average of portfolio exposures, it just works well in practice. This article provides perspectives for understanding the resampling approach by analyzing the portfolio exposure estimation process from a bias-variance trade-off. We show that the traditional resampled optimization corresponds to a naive version of stacked generalization. Finally, we introduce a stacked generalization approach that can be used to handle both parameter uncertainty and combine optimization methods in full generality. We coin the new method Exposure Stacking. + + +## Distributionally Robust Reward-risk Ratio Programming with Wasserstein Metric [pdf](https://optimization-online.org/wp-content/uploads/2017/01/5805.pdf) +Yong Zhao, Yongchao Liu, Jin Zhang, Xinmin Yang + +Reward-risk ratio (RR) is a very important stock market definition. In order to capture the +situation that the investor does not have complete information on the distribution of the underlying +uncertainty, people extend RR model to distributionally robust reward-risk ratio (DRR) model. In this +paper, we study the DRR problem where the ambiguity on the distributions is defined through Wassertein +metric. Under some moderate conditions, we show that for a fixed ratio, the DRR problem has the +tractable reformulation, which means that we may solve the problem by bisection method. Specifically, +we analyze the DRR problems for Sortino-Satchel ratio, Stable Tail Adjusted Return ratio and Omega +ratio. + +## Robust minimum variance portfolio optimization modelling under scenario uncertainty [pdf](https://isiarticles.com/bundles/Article/pre/pdf/111157.pdf) +Panos Xidonasa, Christis Hassapis, John Soulisc, Aristeidis Samitasd + +Our purpose in this article is to develop a robust optimization model which minimizes portfolio variance for a +finite set of covariance matrices scenarios. The proposed approach aims at the proper selection of portfolios, in a +way that for every covariance matrix estimate included in the analysis, the calculated portfolio variance remains +as close to the corresponding individual minimum value, as possible. To accomplish this, we formulate a mixedinteger non-linear program with quadratic constraints. With respect to practical underlying concerns, +investment policy constraints regarding the portfolio structure are also taken into consideration. The validity +of the proposed approach is verified through extensive out-of-sample empirical testing in the EuroStoxx 50, the +S & P 100, the S & P 500, as well as a well-diversified investment universe of ETFs. We report consistent +generation of stable out-of-sample returns, which are in most cases superior to those of the worst-case scenario. +Moreover, we provide strong evidence that the proposed robust model assists in selective asset picking and +systematic avoidance of excessive losses. + + +## Robust portfolio optimization: a categorized bibliographic review [pdf](https://www.terry.uga.edu/wp-content/uploads/Robust.pdf) +Panos Xidonas, Ralph Steuer, Christis Hassapis + +Robust portfolio optimization refers to finding an asset allocation strategy whose behavior +under the worst possible realizations of the uncertain inputs, e.g., returns and covariances, is +optimized. The robust approach is in contrast to the classical approach, where one estimates +the inputs to a portfolio allocation problem and then treats them as certain and accurate. In +this paper we provide a categorized bibliography on the application of robust mathematical +programming to the portfolio selection problem. With no similar surveys available, one of +the aims of this review is to provide quick access for those interested, but maybe not yet in the +area, so they know what the area is about, what has been accomplished and where everything +can be found. Toward this end, a total of 148 references have been compiled and classified +in various ways. Additionally, the number of Scopus© citations by contribution and journal +is recorded. Finally, a brief discussion of the review’s major findings is provided and some +solid leads on future directions are given. + +## Regime-dependent Robust Risk Measures with Application in Portfolio Selection [via](https://www.researchgate.net/publication/262691745_Regime-dependent_Robust_Risk_Measures_with_Application_in_Portfolio_Selection) +Jia Liu, Zhiping Chen + +Current robust risk measures or portfolio selection models are usually derived under the worst-case analysis, which makes the investment decision too conservative and could not reflect the change of uncertainty sets with respect to different market environ- ments. We use the regime switching technique to describe the time-varying uncertainty set of the first and second order moments, and propose two kinds of robust risk measures: worst regime risk measure and mixed worst-case risk measure. These new risk measures have good properties and the robust portfolio selection models derived from them can be efficiently solved in polynomial time. Empirical results show the reasonability and efficiency of our new models. + +## Robust Portfolio Rebalancing with Cardinality and Diversification Constraints [ssrn](https://papers.ssrn.com/sol3/papers.cfm?abstract_id=3808694) +Zhihua Allen-Zhao, Fengmin Xu, Donglei Du, Meihua Wang + +In this paper, we develop a robust conditional value at risk (CVaR) optimal portfolio rebalancing model under various financial constraints to construct sparse and diversified rebalancing portfolios. Our model includes transaction costs and double cardinality constraints in order to capture the trade-off between the limit of investment scale and the diversified industry coverage requirement. We first derive a closed-form solution for the robust CVaR portfolio rebalancing model with only transaction costs. It allows us to conduct industry risk analysis for sparse portfolio rebalancing in the absence of diversification constraints. Then, we attempt to remedy the hidden industry risk by establishing a new robust portfolio rebalancing model with both sparse and diversified constraints. This is followed by the development of a distributed-version of the Alternating Direction Method of Multipliers (ADMM) algorithm, where each subproblem admits a closed-form solution. Finally, we conduct empirical tests to compare our proposed strategy with the standard sparse rebalancing and no-rebalancing strategies. The computational results demonstrate that our rebalancing approach produces sparse and diversified portfolios with higher industry coverage. Additionally, to measure out-of-sample performance, two superiority indices are created based on the worst-case CVaR and annualized return, respectively. Our ADMM strategy also outperforms the sparse rebalancing and no-rebalancing strategies in terms of the two indices. + +## Portfolio management with robustness in both prediction and decision: A mixture model based learning approach [pdf](https://isiarticles.com/bundles/Article/pre/pdf/49455.pdf) +Shushang Zhu, Minjie Fan, Duan Li + +We develop in this paper a novel portfolio selection framework with a feature of double +robustness in both return distribution modeling and portfolio optimization. While predicting +the future return distributions always represents the most compelling challenge in investment, +any underlying distribution can be always well approximated by utilizing a mixture distribution, if we are able to ensure that the component list of a mixture distribution includes all +possible distributions corresponding to the scenario analysis of potential market modes. +Adopting a mixture distribution enables us to (1) reduce the problem of distribution prediction +to a parameter estimation problem in which the mixture weights of a mixture distribution are +estimated under a Bayesian learning scheme and the corresponding credible regions of the +mixture weights are obtained as well and (2) harmonize information from different channels, +such as historical data, market implied information and investors' subjective views. We further +formulate a robust mean-CVaR portfolio selection problem to deal with the inherent +uncertainty in predicting the future return distributions. By employing the duality theory, we +show that the robust portfolio selection problem via learning with a mixture model can be +reformulated as a linear program or a second-order cone program, which can be effectively +solved in polynomial time. We present the results of simulation analyses and primary empirical +tests to illustrate a significance of the proposed approach and demonstrate its pros and cons. + +## Data-driven distributionally robust optimization using the wasserstein metric: Performance guarantees and tractable reformulations [pdf](https://arxiv.org/pdf/1505.05116) +PEYMAN MOHAJERIN ESFAHANI AND DANIEL KUHN + +We consider stochastic programs where the distribution of the uncertain parameters is only observable through a finite training dataset. Using the Wasserstein metric, we construct a ball in the space of +(multivariate and non-discrete) probability distributions centered at the uniform distribution on the training samples, and we seek decisions that perform best in view of the worst-case distribution within this +Wasserstein ball. The state-of-the-art methods for solving the resulting distributionally robust optimization +problems rely on global optimization techniques, which quickly become computationally excruciating. In this +paper we demonstrate that, under mild assumptions, the distributionally robust optimization problems over +Wasserstein balls can in fact be reformulated as finite convex programs—in many interesting cases even as +tractable linear programs. Leveraging recent measure concentration results, we also show that their solutions +enjoy powerful finite-sample performance guarantees. Our theoretical results are exemplified in mean-risk +portfolio optimization as well as uncertainty quantification. + +## Robust and Sparse Portfolio: Optimization Models and Algorithms [via](https://www.researchgate.net/publication/376420963_Robust_and_Sparse_Portfolio_Optimization_Models_and_Algorithms) +Hongxin Zhao, Yilun Jiang, Yizhou Yang + +The robust and sparse portfolio selection problem is one of the most-popular and -frequently studied problems in the optimization and financial literature. By considering the uncertainty of the parameters, the goal is to construct a sparse portfolio with low volatility and decent returns, subject to other investment constraints. In this paper, we propose a new portfolio selection model, which considers the perturbation in the asset return matrix and the parameter uncertainty in the expected asset return. We define three types of stationary points of the penalty problem: the Karush–Kuhn–Tucker point, the strong Karush–Kuhn–Tucker point, and the partial minimizer. We analyze the relationship between these stationary points and the local/global minimizer of the penalty model under mild conditions. We design a penalty alternating-direction method to obtain the solutions. Compared with several existing portfolio models on seven real-world datasets, extensive numerical experiments demonstrate the robustness and effectiveness of our model in generating lower volatility. + +## Some connections between higher moments portfolio optimization methods [pdf](https://arxiv.org/pdf/2201.00205) +Farshad Noravesh1 Kristiaan Kerstens + +In this paper, different approaches to portfolio optimization having +higher moments such as skewness and kurtosis are classified so that +the reader can observe different paradigms and approaches in this +field of research which is essential for practitioners in Hedge Funds +in particular. Several methods based on different paradigms such as +utility approach and multi-objective optimization are reviewed and +the advantage and disadvantageous of these ideas are explained. + +## Incorporating estimation errors into portfolio selection: Robust portfolio construction [via](https://www.researchgate.net/publication/228380747_Incorporating_estimation_errors_into_portfolio_selection_Robust_portfolio_construction) +Sebastián Ceria and Robert A. Stubbs + +The authors explore the negative effect that estimation error has on mean-variance optimal portfolios. It is shown that asset weights in mean-variance optimal portfolios are very sensitive to slight changes in input parameters. This instability is magnified by the presence of constrains that asset managers typically impose on their portfolios. The authors propose to use robust mean variance, a new technique which is based on robust optimisation, a deterministic framework designed to explicitly consider parameter uncertainty in optimisation problems. Alternative uncertainty regions that create a less conservative robust problem are introduced. In fact, the authors' proposed approach does not assume that all estimation errors will negatively affect the portfolios, as is the case in traditional robust optimisation, but rather that there are as many errors with negative consequences as there are errors with positive consequences. The authors demonstrate through extensive computational experiments that portfolios generated with their proposed robust mean variance methodolgy typically outperform traditional mean variance portfolios in a variety of investment scenarios. Additionally, robust mean variance portfolios are usually less sensitive to input parameters. + +## Robust Portfolio Optimization with Correlation Penalties [pdf](https://kth.diva-portal.org/smash/get/diva2:1816894/FULLTEXT01.pdf) +Pelle Nydahl + +Robust portfolio optimization models attempt to address the standard optimization method’s +high sensitivity to noise in the parameter estimates, by taking an investor’s uncertainty +about the estimates into account when finding an optimal portfolio. In this thesis, we +study robust variations of an extension of the mean-variance problem, where an additional +term penalizing the portfolio’s correlation with an exogenous return sequence is included +in the objective. Using a normalized risk factor model of the asset returns, estimations are +done using EMA filtering as well as exponentially weighted linear regression. We show that +portfolio performance can significantly improve with respect to a range of metrics, such as +Sharpe ratio, expected shortfall and skewness, when using appropriate robust models and +hyperparameters. We further show that extending the optimization problem with a correlation penalty can notably reduce portfolio correlation with an arbitrary return sequence, +with only a small impact on other performance metrics. + +## Robust Portfolio Selection Problems: A Comprehensive Review [arxiv](https://arxiv.org/abs/2103.13806) +Alireza Ghahtarani, Ahmed Saif, Alireza Ghasemi + +In this paper, we provide a comprehensive review of recent advances in robust portfolio selection problems and their extensions, from both operational research and financial perspectives. A multi-dimensional classification of the models and methods proposed in the literature is presented, based on the types of financial problems, uncertainty sets, robust optimization approaches, and mathematical formulations. Several open questions and potential future research directions are identified. + + +## Generative Meta-Learning Robust Quality-Diversity Portfolio [link](https://arxiv.org/abs/2307.07811) +Kamer Ali Yuksel + +This paper proposes a novel meta-learning approach to optimize a robust portfolio ensemble. The method uses a deep generative model to generate diverse and high-quality sub-portfolios combined to form the ensemble portfolio. The generative model consists of a convolutional layer, a stateful LSTM module, and a dense network. During training, the model takes a randomly sampled batch of Gaussian noise and outputs a population of solutions, which are then evaluated using the objective function of the problem. The weights of the model are updated using a gradient-based optimizer. The convolutional layer transforms the noise into a desired distribution in latent space, while the LSTM module adds dependence between generations. The dense network decodes the population of solutions. The proposed method balances maximizing the performance of the sub-portfolios with minimizing their maximum correlation, resulting in a robust ensemble portfolio against systematic shocks. The approach was effective in experiments where stochastic rewards were present. Moreover, the results (Fig. 1) demonstrated that the ensemble portfolio obtained by taking the average of the generated sub-portfolio weights was robust and generalized well. The proposed method can be applied to problems where diversity is desired among co-optimized solutions for a robust ensemble. The source-codes and the dataset are in the supplementary material. + + + +## A Consistently oriented basis for eigenanalysis: improved directional statistics [link](https://link.springer.com/article/10.1007/s41060-024-00570-5) +Jay Damask + +The algorithm derived in this article, which builds upon the original paper, takes a holistic view of the handedness of an orthonormal eigenvector matrix so as to transfer what would have been labeled as a reflection in the original algorithm into a rotation through a major arc in the new algorithm. In so doing, the angular wrap-around on the interval + that exists in the original is extended to a + interval for primary rotations, which in turn provides clean directional statistics. The modified algorithm is detailed in this article and an empirical example is shown. The empirical example is analyzed in the context of random matrix theory, after which two methods are discussed to stabilize eigenvector pointing directions as they evolve in time. The thucyd Python package and source code, reported in the original paper, has been updated to include the new algorithm and is freely available. + +## The Economic Value of MSE [link](https://www.researchgate.net/publication/381196782_The_Economic_Value_of_Mean_Squared_Error_Evidence_from_Portfolio_Selection) +Zhaokun Cai et al + +When designing and evaluating estimators, the mean squared error (MSE) is the most commonly +used generic statistical loss function because it captures the bias-variance tradeoff and allows +easy analytical and numerical treatment. However, MSE estimators are often applied to decision +problems for which the loss function is different, raising questions about how much value there +is in using a generic statistical loss function like the MSE rather than a decision loss function. +We elucidate this question through the lens of the portfolio selection problem by showing that +for several important portfolio rules, there is a positive linear relation between the MSE and +a portfolio-decision loss function. Moreover, shrinkage portfolio estimators derived under these +two loss functions are typically close to each other. Our findings highlight the economic value +of MSE to serve as a general-purpose statistical loss function in portfolio selection. + + + +## Improved Portfolio Diversification Through Unsupervised Learning [SSRN](https://papers.ssrn.com/sol3/papers.cfm?abstract_id=4580833) +Michael J. Lewis + +From a theoretical perspective, portfolio optimization has been well understood for quite some time; Markowitz’ Critical Line Method stems from 1956, for example. In practice, the covariance matrix for portfolio returns is known to be noisy and frequently ill-conditioned, making the necessary inversion of the matrix impractical and inaccurate. + +The approach of shrinking the covariance matrix in practice solves the inversion issue, but in doing so modifies the relationships between stocks, throwing the baby out with the bathwater. Hierarchical Risk Parity (HRP) took a novel approach to leverage these relationships, and in doing so sidestep the issue of inversion, but limited its scope to sorting the indices. We build upon this philosophy, introducing Recursive Clustering Risk Parity (RCRP). This procedure takes advantage of advances in unsupervised learning and inverse approximations to adhere more completely to these stock relationships by building and leveraging the corresponding tree structure to sidestep inversion, reduce noise impact, and in doing so enhance portfolio performance. + +## Portfolio Optimization with Tracking-Error Constraints [pdf](https://merage.uci.edu/~jorion/papers/optim.pdf) +Philippe Jorion + +This article explores the risk and return relationship of active portfolios subject to a constraint on tracking-error volatility (TEV), which can also be interpreted in terms of value at risk. Such a constrained portfolio is the typical setup for active managers who are given the task of beating a benchmark. The problem with this setup is that the portfolio manager pays no attention to total portfolio risk, which results in seriously inefficient portfolios unless some additional constraints are imposed. The development in this article shows that TEV-constrained portfolios are described by an ellipse on the traditional mean–variance plane. This finding yields a number of new insights. Because of the flat shape of this ellipse, adding a constraint on total portfolio volatility can substantially improve the performance of the active portfolio. In general, plan sponsors should concentrate on controlling total portfolio risk. + +## Machine Learning Risk Models [ssrn](https://papers.ssrn.com/sol3/papers.cfm?abstract_id=3308964) +Zura Kakushadze and Willie Yu + +We give an explicit algorithm and source code for constructing risk models based on machine learning techniques. The resultant covariance matrices are not factor models. Based on empirical backtests, we compare the performance of these machine learning risk models to other constructions, including statistical risk models, risk models based on fundamental industry classifications, and also those utilizing multilevel clustering based industry classifications. + + +## Dictionary Learning-Based Denoising for Portfolio [pdf](https://2023.ic-dsp.org/wp-content/uploads/2023/05/DSP2023-43.pdf) +Sadik, Et-tolba, Nsiri + +In the finance industry, real-world data are affected +by noise, which comes from several external sources. This makes +it challenging to select optimal portfolios for profitable investment +strategies. Therefore, noise removal (or denoising) has become +important for investors to create accurate investment models +that guarantee better returns. In this paper, we propose a novel +dictionary learning-based denoising approach for financial time +series. The transform matrix in dictionary learning is built by +training the noisy data with a K-singular value decomposition (KSVD) algorithm. We evaluated the effectiveness of the proposed +method using the 30 Fama French portfolio (FF30) as sample +data. Furthermore, the out-of-sample performance of the denoising approach is tested under a minimum-variance framework. +Empirical results prove that the proposed dictionary learningbased denoising method outperforms the other benchmarks in +terms of portfolio selection + + +## Regularized Tyler’s Scatter Estimator: Existence, Uniqueness, and Algorithms [pdf](https://ieeexplore.ieee.org/stamp/stamp.jsp?arnumber=6879466) +Ying Sun and Daniel P. Palomar + +This paper considers the regularized Tyler’s scatter +estimator for elliptical distributions, which has received considerable attention recently. Various types of shrinkage Tyler’s estimators have been proposed in the literature and proved work effectively in the “large small ” scenario. Nevertheless, the existence +and uniqueness properties of the estimators are not thoroughly +studied, and in certain cases the algorithms may fail to converge. +In this work, we provide a general result that analyzes the sufficient condition for the existence of a family of shrinkage Tyler’s +estimators, which quantitatively shows that regularization indeed +reduces the number of required samples for estimation and the +convergence of the algorithms for the estimators. For two specific +shrinkage Tyler’s estimators, we also proved that the condition is +necessary and the estimator is unique. Finally, we show that the +two estimators are actually equivalent. Numerical algorithms are +also derived based on the majorization-minimization framework, +under which the convergence is analyzed systematically. + + +## James–Stein for the leading eigenvector [pdf](https://www.pnas.org/doi/epdf/10.1073/pnas.2207046120) +Lisa Goldberg and Alec Kercheval + +Recent research identifies and corrects bias, such as excess dispersion, in the leadingsample eigenvector of a factor-based covariance matrix estimated from a high-dimension low sample size (HL) data set. We show that eigenvector bias can have asubstantial impact on variance-minimizing optimization in the HL regime, while bias in estimated eigenvalues may have little effect. We describe a data-driven eigenvector shrinkage estimator in the HL regime called “James–Stein for eigenvectors” (JSE) andits close relationship with the James–Stein (JS) estimator for a collection of averages.We show, both theoretically and with numerical experiments, that, for certain variance-minimizing problems of practical importance, efforts to correct eigenvalues have little value in comparison to the JSE correction of the leading eigenvector. When certain extra information is present, JSE is a consistent estimator of the leading eigenvector + + +## Rotational invariant estimator for general noisy matrices [pdf](https://arxiv.org/pdf/1502.06736.pdf) [code](https://github.com/GGiecold/pyRMT/blob/main/pyRMT.py) +Joël Bun, Romain Allez, Jean-Philippe Bouchaud, Marc Potters + +We investigate the problem of estimating a given real symmetric signal matrix C from a noisy observation matrix M in the limit of large dimension. We consider the case where the noisy measurement M comes either from an arbitrary additive or multiplicative rotational invariant perturbation. We establish, using the Replica method, the asymptotic global law estimate for three general classes of noisy matrices, significantly extending previously obtained results. We give exact results concerning the asymptotic deviations (called overlaps) of the perturbed eigenvectors away from the true ones, and we explain how to use these overlaps to "clean" the noisy eigenvalues of M. We provide some numerical checks for the different estimators proposed in this paper and we also make the connection with some well known results of Bayesian statistics + + +## Estimating covariance matrices for portfolio optimization [pdf](http://www.gcoqueret.com/files/Estim_cov.pdf) +GUILLAUME COQUERET AND VINCENT MILHAU + +We compare twelve estimators of the covariance matrix: the sample covariance matrix, the identity +matrix, the constant-correlation estimator, three estimators derived from an explicit factor model, three obtained +from an implicit factor model, and three shrunk estimators. Following the literature, we conduct the comparison +by computing the volatility of estimated Minimum Variance portfolios. We do this in two frameworks: first, an +ideal situation where the true covariance matrix would be known, and second, a real-world situation where it +is unknown. In each of these two cases, we perform the tests with and without short-sales constraints, and we +assess the impact of the universe and sample sizes on the results. Our findings are in line with those of Ledoit +and Wolf (2003), in that we confirm that in the absence of short-sales constraints, shrunk estimators lead in +general to the lowest volatilities. With long-only constraints, however, their performance is similar to that of +principal component estimators. Moreover, the latter estimators tend to imply lower levels of turnover, which +is an important practical consideration. + + +## A Modified CTGAN-Plus-Features Based Method for Optimal Asset Allocation [pdf](https://arxiv.org/pdf/2302.02269) +José-Manuel Peña, Fernando Suárez, Omar Larré, Domingo Ramírez, Arturo Cifuentes + +We propose a new approach to portfolio optimization that utilizes a unique combination of synthetic data generation and a CVaR-constraint. We formulate the portfolio optimization problem as an asset allocation problem in which each asset class is accessed through a passive (index) fund. The asset-class weights are determined by solving an optimization problem which includes a CVaR-constraint. The optimization is carried out by means of a Modified CTGAN algorithm which incorporates features (contextual information) and is used to generate synthetic return scenarios, which, in turn, are fed into the optimization engine. For contextual information we rely on several points along the U.S. Treasury yield curve. The merits of this approach are demonstrated with an example based on ten asset classes (covering stocks, bonds, and commodities) over a fourteen-and-half year period (January 2008-June 2022). We also show that the synthetic generation process is able to capture well the key characteristics of the original data, and the optimization scheme results in portfolios that exhibit satisfactory out-of-sample performance. We also show that this approach outperforms the conventional equal-weights (1/N) asset allocation strategy and other optimization formulations based on historical data only. + +## Cross Asset Portfolios of Tradable Risk Premia Indices - Hierarchical Risk Parity - Enhancing Returns [link](https://www.scribd.com/document/466110701/Cross-Asset-Portfolios-of-Tradable-Risk-Premia-Indices-Hierarchical-Risk-Parity-Enhancing-Returns-pdf#) + + +## Adaptive Seriational Risk Parity and Other Extensions for Heuristic Portfolio Construction Using Machine Learning and Graph Theory [pdf](https://jfds.pm-research.com/content/iijjfds/early/2021/10/06/jfds.2021.1.078.full-text.pdf) +Peter Schwendner, Jochen Papenbrock, Markus Jaeger and Stephan Krügel + +In this article, the authors present a conceptual framework named adaptive seriational risk parity (ASRP) to extend hierarchical risk parity (HRP) as an asset allocation heuristic. The first step of HRP (quasi-diagonalization), determining the hierarchy of assets, is required for the actual allocation done in the second step (recursive bisectioning). In the original HRP scheme, this hierarchy is found using single-linkage hierarchical clustering of the correlation matrix, which is a static tree-based method. The authors compare the performance of the standard HRP with other static and adaptive tree-based methods, as well as seriation-based methods that do not rely on trees. Seriation is a broader concept allowing reordering of the rows or columns of a matrix to best express similarities between the elements. Each discussed variation leads to a different time series reflecting portfolio performance using a 20-year backtest of a multi-asset futures universe. Unsupervised learningbased on these time-series creates a taxonomy that groups the strategies in high correspondence to the construction hierarchy of the various types of ASRP. Performance analysis of the variations shows that most of the static tree-based alternatives to HRP outperform the single-linkage clustering used in HRP on a risk-adjusted basis. Adaptive tree methods show mixed results, and most generic seriation-based approaches underperform. + + + +## A Constrained Hierarchical Risk Parity Algorithm with Cluster-based Capital Allocation [pdf](https://www.fmx.nfkatzke.com/Projects/HRP.pdf) +Johann Pfitzinger, Nico Katzke + +Hierarchical Risk Parity (HRP) is a risk-based portfolio optimisation algorithm, which has been shown to generate diversified portfolios with robust out-of-sample properties without the need for a positive-definite return covariance matrix (Lopez de Prado 2016). The algorithm applies machine learning techniques to identify the underlying hierarchical correlation structure of the portfolio, allowing clusters of similar assets to compete for capital. The resulting allocation is both well-diversified over risk sources and intuitively appealing. This paper proposes a method of fully exploiting the information created by the clustering process, achieving enhanced out-of-sample risk and return characteristics. In addition, a practical approach to calculating HRP weights under box and group constraints is introduced. A comprehensive set of portfolio simulations over 6 equity universes demonstrates the appeal of the algorithm for portfolios consisting of 20 − 200 assets. HRP delivers highly diversified allocations with low volatility, low portfolio turnover and competitive performance metrics. + + +## A Clustering Algorithm for Correlation Quickest Hub Discovery Mixing Time Evolution and Random Matrix Theory + [pdf](https://papers.ssrn.com/sol3/papers.cfm?abstract_id=4241975) + Alejandro Rodriguez Dominguez + +We present a geometric version of Quickest Change Detection (QCD) and Quickest Hub Discovery (QHD) tests in correlation structures that allows us to include and combine new information with distance metrics. The topic falls within the scope of sequential, nonparametric, high-dimensional QCD and QHD, from which state-of-the-art settings developed global and local summary statistics from asymptotic Random Matrix Theory (RMT) to detect changes in random matrix law. These settings work only for uncorrelated pre-change variables. With our geometric version of the tests via clustering, we can test the hypothesis that we can improve state-of-the-art settings for QHD, by combining QCD and QHD simultaneously, as well as including information about pre-change time-evolution in correlations. We can work with correlated pre-change variables and test if the time-evolution of correlation improves performance. We prove test consistency and design test hypothesis based on clustering performance. We apply this solution to financial time series correlations. Future developments on this topic are highly relevant in finance for Risk Management, Portfolio Management, and Market Shocks Forecasting which can save billions of dollars for the global economy. We introduce the Diversification Measure Distribution (DMD) for modeling the time-evolution of correlations as a function of individual variables which consists of a Dirichlet-Multinomial distribution from a distance matrix of rolling correlations with a threshold. Finally, we are able to verify all these hypotheses. + + + +## Hierarchical Sensitivity Parity [pdf](https://papers.ssrn.com/sol3/papers.cfm?abstract_id=4110188) +Alejandro Rodriguez Dominguez + +In this work we present a new framework for modelling portfolio dynamics and how to incorporate this information in the portfolio selection process. We define drivers for asset and portfolio dynamics, and their optimal selection. We introduce the new Commonality Principle, which gives a solution for the optimal selection of portfolio drivers as being the common drivers. Asset dynamics are modelled by PDEs and approximated with Neural Networks, and sensitivities of portfolio constituents with respect to portfolio common drivers are obtained via Automatic Adjoint Differentiation (AAD). Information of asset dynamics is incorporated via sensitivities into the portfolio selection process. Portfolio constituents are projected into a hypersurface, from a vector space formed by the returns of common drivers of the portfolio. The commonality principle allows for the necessary geometric link between the hyperplane formed by portfolio constituents in a traditional setup with no exogenous information, and the hypersurface formed by the vector space of common portfolio drivers, so that when portfolio constituents are projected into this hypersurface, the representations of idiosyncratic risks from the hyperplane are kept at most in this new subspace, while systematic risks representations are added via exogenous information as part of this common drivers vector space. We build a sensitivity matrix, which is a similarity matrix of the projections in this hypersurface, and can be used to optimize for diversification on both, idiosyncratic and systematic risks, which is not contemplated on the literature. Finally, we solve the convex optimization problem for optimal diversification by applying a hierarchical clustering to the sensitivity matrix, avoiding quadratic optimizers for the matrix properties, and we reach over-performance in all experiments with respect to all other out-of-sample methods. + +## Asymmetric Autoencoders for Factor-Based Covariance Matrix Estimation [pdf](https://dl.acm.org/doi/pdf/10.1145/3533271.3561715) +Kevin Huynh, Gregor Lenhard + +Estimating high dimensional covariance matrices for portfolio optimization is challenging because the number of parameters to be estimated grows quadratically in the number of assets. When the matrix dimension exceeds the sample size, the sample covariance matrix becomes singular. A possible solution is to impose a (latent) factor structure for the cross-section of asset returns as in the popular capital asset pricing model. Recent research suggests dimension reduction techniques to estimate the factors in a data-driven fashion. We present an asymmetric autoencoder neural network-based estimator that incorporates the factor structure in its architecture and jointly estimates the factors and their loadings. We test our method against well established dimension reduction techniques from the literature and compare them to observable factors as benchmark in an empirical experiment using stock returns of the past five decades. Results show that the proposed estimator is very competitive, as it significantly outperforms the benchmark across most scenarios. Analyzing the loadings, we find that the constructed factors are related to the stocks’ sector classification. + + + +## Theoretically Motivated Data Augmentation and Regularization for Portfolio Construction [arxiv](https://arxiv.org/abs/2106.04114) +Liu Ziyin, Kentaro Minami, Kentaro Imajo + +The task we consider is portfolio construction in a speculative market, a fundamental problem in modern finance. While various empirical works now exist to explore deep learning in finance, the theory side is almost non-existent. In this work, we focus on developing a theoretical framework for understanding the use of data augmentation for deep-learning-based approaches to quantitative finance. The proposed theory clarifies the role and necessity of data augmentation for finance; moreover, our theory implies that a simple algorithm of injecting a random noise of strength to the observed return rt is better than not injecting any noise and a few other financially irrelevant data augmentation techniques. + + +## Pessimistic Offline Policy Optimization [pdf](https://arxiv.org/abs/2012.13682) +Qiang He, Xinwen Hou + +Offline reinforcement learning (RL) aims to optimize policy from large pre-recorded datasets without interaction with the environment. This setting offers the promise of utilizing diverse and static datasets to obtain policies without costly, risky, active exploration. However, commonly used off-policy deep RL methods perform poorly when facing arbitrary off-policy datasets. In this work, we show that there exists an estimation gap of value-based deep RL algorithms in the offline setting. To eliminate the estimation gap, we propose a novel offline RL algorithm that we term Pessimistic Offline Policy Optimization (POPO), which learns a pessimistic value function. To demonstrate the effectiveness of POPO, we perform experiments on various quality datasets. And we find that POPO performs surprisingly well and scales to tasks with high-dimensional state and action space, comparing or outperforming tested state-of-the-art offline RL algorithms on benchmark tasksl + + +## A Generalized Approach to Portfolio Optimization: Improving Performance by Constraining Portfolio Norms [pdf](https://www.semanticscholar.org/paper/A-Generalized-Approach-to-Portfolio-Optimization%3A-DeMiguel-Garlappi/0c684e0b00e090e064b614f87db321951cfc66ff) +Victor DeMiguel, Lorenzo Garlappi, R. Uppal + +In this paper, we provide a general nonlinear programming framework for +identifying portfolios that have superior out-of-sample performance in the presence +of estimation error. This general framework relies on solving the traditional +minimum-variance problem but subject to the additional constraint that the +norm of the portfolio-weight vector be smaller than a given threshold. +We show that our general framework nests as special cases several wellknown +(shrinkage and constrained) approaches considered in the literature. We +also use our general framework to propose several new portfolio strategies that +we term partial minimum-variance portfolios. These portfolios are obtained by +applying the classical conjugate-gradient method to solve the minimum-variance +problem. +We compare empirically (in terms of portfolio variance, Sharpe ratio, and +turnover), the out-of-sample performance of the new portfolios to various wellknown +strategies across several datasets. We find that the norm-constrained +portfolios we propose outperform shortsale-constrained portfolio approaches, +shrinkage approaches, the 1/N portfolio, factor portfolios, and also other strategies +considered in the literature. + +## Seriation and Matrix Reordering Methods: An Historical Overview [pdf](http://innar.com/Liiv_Seriation.pdf) +Innar Liiv + +Seriation is an exploratory combinatorial data analysis technique to reorder objects into a sequence along a one-dimensional continuum so that it best reveals regularity and patterning among the whole series. Unsupervised learning, using seriation and matrix reordering, allows pattern discovery simultaneously at three information levels: local fragments of relationships, sets of organized local fragments of relationships, and an overall structural pattern. This paper presents an historical overview of seriation and matrix reordering methods, several applications from the following disciplines are included in the retrospective review: archaeology and anthropology; cartography, graphics, and information visualization; sociology and sociometry; psychology and psychometry; ecology; biology and bioinformatics; cellular manufacturing; and operations research. + + +## The Locally Gaussian Partial Correlation [pdf](https://arxiv.org/pdf/1909.09681) +Håkon Otneim, Dag Tjøstheim + +It is well known that the dependence structure for jointly Gaussian variables can be fully captured using correlations, and that the conditional dependence structure in the same way can be described using partial correlations. The partial orrelation does not, however, characterize conditional dependence in many non-Gaussian populations. This paper introduces the local Gaussian partial correlation (LGPC), a new measure of conditional dependence. It is a local version of the partial correlation coefficient that characterizes conditional dependence in a large class of populations. It has some useful and novel properties besides: The LGPC reduces to the ordinary partial correlation for jointly normal variables, and it distinguishes between positive and negative conditional dependence. Furthermore, the LGPC can be used to study departures from conditional independence in specific parts of the distribution. We provide several examples of this, both simulated and real, and derive estimation theory under a local likelihood framework. Finally, we indicate how the LGPC can be used to construct a powerful test for conditional independence, which, again, can be used to detect Granger causality in time series. + + +## Measuring asymmetries in financial returns : an empirical investigation using local gaussian correlation [pdf](https://openaccess.nhh.no/nhh-xmlui/bitstream/handle/11250/166806/A12_13.pdf?sequence=1&isAllowed=y) +Støve, Bård; Tjøstheim, Dag + +A number of studies have provided evidence that financial returns exhibit asymmetric dependence, such as increased dependence during bear markets, but there seems to be no agreement as to how such asymmetries should be measured. We introduce the use of a new measure of local dependence to study this asymmetry. The central idea of the new approach is to approximate an arbitrary bivariate return distribution by a family of Gaussian bivariate distributions. At each point of the return distribution there is a Gaussian distribution that gives a good approximation at that point. The correlation of the approximating Gaussian distribution is taken as the local correlation in that neighbourhood. The new measure does not suffer from the selection bias of the conditional correlation for Gaussian data, and is able to capture nonlinear dependence. Analyzing several financial returns from the US, UK, German and French markets, we confirm and are able to explicitly quantify the asymmetry. Finally, we discuss a risk management application, and point out a number of possible extensions. + +## Portfolio Allocation under Asymmetric Dependence in Asset Returns using Local Gaussian Correlations [pdf](https://arxiv.org/pdf/2106.12425) +Sleire et al + +It is well known that there are asymmetric dependence structures between financial returns. In this paper we use a new nonparametric measure of local dependence, the local Gaussian correlation, to improve portfolio allocation. We extend the classical mean-variance framework, and show that the portfolio optimization is straightforward using our new approach, only relying on a tuning parameter (the bandwidth). The new method is shown to outperform the equally weighted (1/N) portfolio and the classical Markowitz portfolio for monthly asset returns data. + +## Beyond Risk-Based Portfolios: Balancing Performance and Risk Contributions in Asset Allocation [pdf](https://papers.ssrn.com/sol3/Delivery.cfm/SSRN_ID2867936_code886365.pdf?abstractid=2819789&mirid=1&type=2) +Ardia, Boudt, Nguyen + +In a risk-based portfolio, there is no explicit control for the performance per unit of risk taken. We propose a framework to evaluate the balance between risk and performance at both the portfolio and component level, and to tilt the risk-based portfolio weights towards a state in which the performance and risk contributions are aligned. The key innovation is the Performance/Risk Contribution Concentration (PRCC) measure, which is designed to be minimal when, for all portfolio components, the performance and risk contributions are perfectly aligned. We investigate the theoretical properties of this measure and show its usefulness to obtain the PRCC modified risk-based portfolio weights, that avoid excesses in terms of deviations between the performance and risk contributions of the portfolio components, while still being close to the benchmark risk-based portfolio in terms of weights and relative performance. + + +## A Fast Algorithm for Computing High-dimensional Risk Parity Portfolios [pdf](https://arxiv.org/pdf/1311.4057) +Théophile Griveau-Billion, Jean-Charles Richard, Thierry Roncalli + +In this paper we propose a cyclical coordinate descent (CCD) algorithm for solving high dimensional risk parity problems. We show that this algorithm converges and is very fast even with large covariance matrices (n > 500). Comparison with existing algorithms also shows that it is one of the most efficient algorithms. + + + +## Improved iterative methods for solving risk parity portfolio [paper](https://www.emerald.com/insight/content/doi/10.1108/JDQS-12-2021-0031/full/html) +Jaehyuk Choi, Rong Chen + +Risk parity, also known as equal risk contribution, has recently gained increasing attention as a portfolio allocation method. However, solving portfolio weights must resort to numerical methods as the analytic solution is not available. This study improves two existing iterative methods: the cyclical coordinate descent (CCD) and Newton methods. The authors enhance the CCD method by simplifying the formulation using a correlation matrix and imposing an additional rescaling step. The authors also suggest an improved initial guess inspired by the CCD method for the Newton method. Numerical experiments show that the improved CCD method performs the best and is approximately three times faster than the original CCD method, saving more than 40% of the iterations. + + +## Covariance matrix testing in high dimensions using random projections +Ayyala, Ghosh and Linder + +Estimation and hypothesis tests for the covariance matrix in high dimensions is a challenging problem +as the traditional multivariate asymptotic theory is no longer valid. When the dimension is larger than +or increasing with the sample size, standard likelihood based tests for the covariance matrix have poor +performance. Existing high dimensional tests are either computationally expensive or have very weak +control of type I error. In this paper, we propose a test procedure, CRAMP, for testing hypotheses +involving one or more covariance matrices using random projections. Projecting the high dimensional +data randomly into lower dimensional subspaces alleviates of the curse of dimensionality, allowing for the +use of traditional multivariate tests. An extensive simulation study is performed to compare CRAMP +against asymptotics-based high dimensional test procedures. An application of the proposed method to +two gene expression data sets is presented + + +### Numerically Stable Parallel Computation of (Co-)Variance [pdf](https://dbs.ifi.uni-heidelberg.de/files/Team/eschubert/publications/SSDBM18-covariance-authorcopy.pdf) +Erich Shubert and Michael Gertz + +With the advent of big data, we see an increasing interest in computing correlations in huge data sets with both many instances and +many variables. Essential descriptive statistics such as the variance, +standard deviation, covariance, and correlation can suffer from a +numerical instability known as “catastrophic cancellation” that can +lead to problems when naively computing these statistics with a +popular textbook equation. While this instability has been discussed +in the literature already 50 years ago, we found that even today, +some high-profile tools still employ the instable version. +In this paper, we study a popular incremental technique originally proposed by Welford, which we extend to weighted covariance +and correlation. We also discuss strategies for further improving +numerical precision, how to compute such statistics online on a +data stream, with exponential aging, with missing data, and a batch +parallelization for both high performance and numerical precision. +We demonstrate when the numerical instability arises, and the +performance of different approaches under these conditions. We +showcase applications from the classic computation of variance +as well as advanced applications such as stock market analysis +with exponentially weighted moving models and Gaussian mixture +modeling for cluster analysis that all benefit from this approach + + +### A Well-Conditioned Estimator For Large-Dimensional Covariance Matrices [pdf](http://www.ledoit.net/ole1a.pdf) +Ledoit and Wolf + +Many applied problems require a covariance matrix estimator that is not only invertible, +but also well-conditioned (that is, inverting it does not amplify estimation error). For largedimensional covariance matrices, the usual estimator—the sample covariance matrix—is +typically not well-conditioned and may not even be invertible. This paper introduces +an estimator that is both well-conditioned and more accurate than the sample covariance +matrix asymptotically. This estimator is distribution-free and has a simple explicit formula +that is easy to compute and interpret. It is the asymptotically optimal convex linear +combination of the sample covariance matrix with the identity matrix. Optimality is meant +with respect to a quadratic loss function, asymptotically as the number of observations and +the number of variables go to infinity together. Extensive Monte-Carlo confirm that the +asymptotic results tend to hold well in finite sample. + + +### A Robust Estimator of the Efficient Frontier [pdf](https://papers.ssrn.com/sol3/Delivery.cfm/SSRN_ID3498628_code434076.pdf?abstractid=3469961&mirid=1&type=2) +Marcos Lopez de Prado + +Convex optimization solutions tend to be unstable, to the point of entirely offsetting the benefits of optimization. For example, in the context of financial applications, it is known that portfolios optimized in-sample often underperform the naïve (equal weights) allocation out-of-sample. This instability can be traced back to two sources: (i) noise in the input variables; and (ii) signal structure that magnifies the estimation errors in the input variables. A first innovation of this paper is to introduce the nested clustered optimization algorithm (NCO), a method that tackles both sources of instability. + + +### Robust Estimation of High-Dimensional Mean Regression [pdf](https://arxiv.org/pdf/1410.2150.pdf) +Fan, Li, Wang + +Data subject to heavy-tailed errors are commonly encountered in various scientific fields, especially in the modern era with explosion of massive data. To address this problem, procedures +based on quantile regression and Least Absolute Deviation (LAD) regression have been developed in recent years. These methods essentially estimate the conditional median (or quantile) +function. They can be very different from the conditional mean functions when distributions +are asymmetric and heteroscedastic. How can we efficiently estimate the mean regression functions in ultra-high dimensional setting with existence of only the second moment? To solve this +problem, we propose a penalized Huber loss with diverging parameter to reduce biases created +by the traditional Huber loss. + +### Noisy Covariance Matrices and Portfolio Optimization [pdf](https://arxiv.org/pdf/cond-mat/0111503.pdf) +According to recent findings [1, 2], empirical covariance matrices deduced from +financial return series contain such a high amount of noise that, apart from a +few large eigenvalues and the corresponding eigenvectors, their structure can +essentially be regarded as random. In [1], e.g., it is reported that about 94% +of the spectrum of these matrices can be fitted by that of a random matrix +drawn from an appropriately chosen ensemble. In view of the fundamental +role of covariance matrices in the theory of portfolio optimization as well as in +industry-wide risk management practices, we analyze the possible implications +of this effect. + + +### Continuous Time Mean-Variance Portfolio Selection: A Reinforcement Learning Framework [pdf](https://arxiv.org/pdf/1904.11392) +Haoran Wang, Xun Yu Zhou + +We approach the continuous-time mean-variance (MV) portfolio selection with reinforcement learning (RL). The problem is to achieve the best tradeoff between exploration and exploitation, and is formulated as an entropy-regularized, relaxed stochastic control problem. We prove that the optimal feedback policy for this problem must be Gaussian, with time-decaying variance. We then establish connections between the entropy-regularized MV and the classical MV, including the solvability equivalence and the convergence as exploration weighting parameter decays to zero. Finally, we prove a policy improvement theorem, based on which we devise an implementable RL algorithm. We find that our algorithm outperforms both an adaptive control based method and a deep neural networks based algorithm by a large margin in our simulations. + +### Shrinkage Algorithms for MMSE Covariance Estimation [pdf](https://webee.technion.ac.il/Sites/People/YoninaEldar/104.pdf) +Chen, Wiesel, Eldar, Hero + +Abstract—We address covariance estimation in the sense of +minimum mean-squared error (MMSE) when the samples are +Gaussian distributed. Specifically, we consider shrinkage methods +which are suitable for high dimensional problems with a small +number of samples (large small ). First, we improve on the +Ledoit-Wolf (LW) method by conditioning on a sufficient statistic. +By the Rao-Blackwell theorem, this yields a new estimator called +RBLW, whose mean-squared error dominates that of LW for +Gaussian variables + +### PORTFOLIO OPTIMIZATION WITH NOISY COVARIANCE MATRICES [pdf](https://www.joim.com/wp-content/uploads/emember/downloads/p0594.pdf) +Menchero and Ji 2019 + +In this paper, we explore the effect of sampling error in the asset covariance matrix when +constructing portfolios using mean–variance optimization. We show that as the covariance +matrix becomes increasingly ill-conditioned (i.e., “noisy”), optimized portfolios exhibit +certain undesirable characteristics such as under-prediction of risk, increased out-ofsample volatility, inefficient risk allocation, and increased leverage and turnover. We explain these results by utilizing the concept of alpha portfolios (which explain expected +returns) and hedge portfolios (which serve to reduce risk). We show that noise in the +covariance matrix leads to systematic biases in the volatility and correlation forecasts of +these portfolios, which in turn explains the adverse effects cited above + + +### NONLINEAR SHRINKAGE ESTIMATION OF LARGE-DIMENSIONAL COVARIANCE MATRICES [pdf](https://arxiv.org/pdf/1207.5322.pdf) +Ledoit and Wolf + +Many statistical applications require an estimate of a covariance +matrix and/or its inverse. When the matrix dimension is large compared to the sample size, which happens frequently, the sample covariance matrix is known to perform poorly and may suffer from +ill-conditioning. There already exists an extensive literature concerning improved estimators in such situations. In the absence of further knowledge about the structure of the true covariance matrix, +the most successful approach so far, arguably, has been shrinkage +estimation. Shrinking the sample covariance matrix to a multiple of +the identity, by taking a weighted average of the two, turns out to +be equivalent to linearly shrinking the sample eigenvalues to their +grand mean, while retaining the sample eigenvectors. Our paper extends this approach by considering nonlinear transformations of the +sample eigenvalues. We show how to construct an estimator that is +asymptotically equivalent to an oracle estimator suggested in previous work. As demonstrated in extensive Monte Carlo simulations, +the resulting bona fide estimator can result in sizeable improvements +over the sample covariance matrix and also over linear shrinkage. + +### Covariance versus Precision Matrix Estimation for Efficient Asset Allocation [pdf](https://www.afg.asso.fr/wp-content/uploads/2016/02/Covariance_versus_Precision_Matrix_Estimation_Efficient_Asset_Allocation.pdf) + +Senneret, Malevergne, Abry, Perrin, Jafffres + +Asset allocation constitutes one of the most crucial +and most challenging task in financial engineering. In many +allocation strategies, the estimation of large covariance or precision matrices from short time span multivariate observations +is a mandatory yet difficult step. In the present contribution, +a large selection of elementary to advanced estimation procedures for the covariance as well as for precision matrices, +are organized into classes of estimation principles, reviewed +and compared. To complement this overview, several additional +estimators are explicitly derived and studied theoretically. Rather +than estimation performance evaluated from synthetic simulated +data, performance of the estimation procedures are assessed +empirically by financial criteria (volatility, Sharpe ratio,. . . ) +quantifying the quality of asset allocation in the mean-variance +framework. Performance are quantified by application to a large +set of about 250 European stock returns across the last 15 years, +up to August 2015 + +### Noise Dressing of Financial Correlation Matrices [pdf](https://arxiv.org/pdf/cond-mat/9810255.pdf) +Laloux, Cizeau, Bouchaud, Potters 2008 + +We show that results from the theory of random matrices are potentially of great interest to +understand the statistical structure of the empirical correlation matrices appearing in the study of +price fluctuations. The central result of the present study is the remarkable agreement between the +theoretical prediction (based on the assumption that the correlation matrix is random) and empirical +data concerning the density of eigenvalues associated to the time series of the different stocks of the +S&P500 (or other major markets). In particular the present study raises serious doubts on the blind +use of empirical correlation matrices for risk management. + +### Tuning the Parameters for Precision Matrix Estimation Using Regression Analysis [pdf](https://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=8755295) +Tong, Yang, Zi, Yu and Ogunbona 2019 + +Precision matrix, i.e., inverse covariance matrix, is widely used in signal processing, and often +estimated from training samples. Regularization techniques, such as banding and rank reduction, can be +applied to the covariance matrix or precision matrix estimation for improving the estimation accuracy when +the training samples are limited. In this paper, exploiting regression interpretations of the precision matrix, +we introduce two data-driven, distribution-free methods to tune the parameter for regularized precision +matrix estimation. The numerical examples are provided to demonstrate the effectiveness of the proposed +methods and example applications in the design of minimum mean squared error (MMSE) channel estimators +for large-scale multiple-input multiple-output (MIMO) communication systems are demonstrated. + +### An Overview on the Estimation of Large Covariance and Precision Matrices [pdf](https://arxiv.org/pdf/1504.02995.pdf) +Fan, Liao and Liu 2015 + +Estimating large covariance and precision matrices are fundamental in modern multivariate analysis. The problems arise from statistical analysis of large panel economics +and finance data. The covariance matrix reveals marginal correlations between variables, while the precision matrix encodes conditional correlations between pairs of +variables given the remaining variables. In this paper, we provide a selective review of +several recent developments on estimating large covariance and precision matrices. We +focus on two general approaches: rank based method and factor model based method. +Theories and applications of both approaches are presented. These methods are expected to be widely applicable to analysis of economic and financial data. + +### Unbiased Estimation of the Reciprocal Mean for Non-negative Random Variables +MOka, Kroese, Juneja 2019 + +Many simulation problems require the estimation of a ratio of two expectations. In recent +years Monte Carlo estimators have been proposed that can estimate such ratios without bias. +We investigate the theoretical properties of such estimators for the estimation of β = 1/EZ, +where Z ≥ 0. The estimator, βb(w), is of the form w/fw(N) +QN +i=1(1 − w Zi), where w < 2β and +N is any random variable with probability mass function fw on the positive integers. For a +fixed w, the optimal choice for fw is well understood, but less so the choice of w. We study +the properties of βb(w) as a function of w and show that its expected time variance product decreases as w decreases, even though the cost of constructing the estimator increases with w. We +also show that the estimator is asymptotically equivalent to the maximum likelihood (biased) +ratio estimator and establish practical confidence intervals. + +### Distributionally Robust Inverse Covariance Estimation: The Wasserstein Shrinkage Estimator [pdf](https://arxiv.org/pdf/1805.07194.pdf) +Nguyen, Kuhn, Esfahani 2018 + +We introduce a distributionally robust maximum likelihood estimation model with a Wasserstein +ambiguity set to infer the inverse covariance matrix of a p-dimensional Gaussian random vector from n independent samples. The proposed model minimizes the worst case (maximum) of Stein’s loss across all normal +reference distributions within a prescribed Wasserstein distance from the normal distribution characterized +by the sample mean and the sample covariance matrix. We prove that this estimation problem is equivalent +to a semidefinite program that is tractable in theory but beyond the reach of general purpose solvers for +practically relevant problem dimensions p. In the absence of any prior structural information, the estimation +problem has an analytical solution that is naturally interpreted as a nonlinear shrinkage estimator. + +### The Distance Precision Matrix: computing networks from non-linear relationships [via](https://academic.oup.com/bioinformatics/article/35/6/1009/5079333) +Ghanbari, Lasserre, Vingron 2019 + +We propose Distance Precision Matrix, a network reconstruction method aimed at both linear and non-linear data. Like partial distance correlation, it builds on distance covariance, a measure of possibly non-linear association, and on the idea of full-order partial correlation, which allows to discard indirect associations. We provide evidence that the Distance Precision Matrix method can successfully compute networks from linear and non-linear data, and consistently so across different datasets, even if sample size is low. The method is fast enough to compute networks on hundreds of nodes. + +### A Comparison of Methods for Estimating the Determinant of High-Dimensional Covariance Matrix [pdf](https://www.math.hkbu.edu.hk/~tongt/papers/IJB2017.pdf) +Hu, Dong, Dai, Tong 2017 + +The determinant of the covariance matrix for high-dimensional data plays an important role in +statistical inference and decision. It has many real applications including statistical tests and information +theory. Due to the statistical and computational challenges with high dimensionality, little work has been +proposed in the literature for estimating the determinant of high-dimensional covariance matrix. In this +paper, we estimate the determinant of the covariance matrix using some recent proposals for estimating +high-dimensional covariance matrix. Specifically, we consider a total of eight covariance matrix estimation +methods for comparison. + +### Optimal Shrinkage Estimation of Variances With Applications to Microarray Data Analysis [via](https://www.researchgate.net/publication/4742786_Optimal_Shrinkage_Estimation_of_Variances_With_Applications_to_Microarray_Data_Analysis) +Tong, Wang 2007 + +In this paper we propose a family of shrinkage estimators for variances raised to a flxed power. We derive optimal shrinkage parameters under both Stein and the squared loss functions. Our results show that the standard sample variance is inadmissible under either loss functions. We propose several estimators for the optimal shrinkage parameters and investigate their asymptotic properties under two scenarios: large number of replica- tions and large number of genes. + +### DYNAMIC PORTFOLIO OPTIMIZATION WITH INVERSE COVARIANCE CLUSTERING [pdf](https://arxiv.org/pdf/2112.15499.pdf) +Wang, Aste 2022 + +Market conditions change continuously. However, in portfolio’s investment strategies, it is hard to +account for this intrinsic non-stationarity. In this paper, we propose to address this issue by using the +Inverse Covariance Clustering (ICC) method to identify inherent market states and then integrate such +states into a dynamic portfolio optimization process. Extensive experiments across three different +markets, NASDAQ, FTSE and HS300, over a period of ten years, demonstrate the advantages of our +proposed algorithm, termed Inverse Covariance Clustering-Portfolio Optimization (ICC-PO) + +### Portfolio Optimization with Sparse Multivariate Modelling [via](https://www.researchgate.net/publication/350484158_Portfolio_Optimization_with_Sparse_Multivariate_Modelling) +Procacci, Aste + +Portfolio optimization approaches inevitably rely on multivariate modeling of markets and the economy. In this paper, we address three sources of error related to the modeling of these complex systems: 1. oversimplifying hypothesis; 2. uncertainties resulting from parameters' sampling error; 3. intrinsic non-stationarity of these systems. For what concerns point 1. we propose a L0-norm sparse elliptical modeling and show that sparsification is effective. The effects of points 2. and 3. are quantifified by studying the models' likelihood in- and out-of-sample for parameters estimated over train sets of different lengths. We show that models with larger off-sample likelihoods lead to better performing portfolios up to when two to three years of daily observations are included in the train set. + +### Parsimonious Modelling with Information Filtering Networks +Barfuss, Massara, Matteo, Aste + +We introduce a methodology to construct parsimonious probabilistic models. This method makes +use of Information Filtering Networks to produce a robust estimate of the global sparse inverse covariance from a simple sum of local inverse covariances computed on small sub-parts of the network. +Being based on local and low-dimensional inversions, this method is computationally very efficient +and statistically robust even for the estimation of inverse covariance of high-dimensional, noisy and +short time-series. Applied to financial data our method results computationally more efficient than +state-of-the-art methodologies such as Glasso producing, in a fraction of the computation time, models that can have equivalent or better performances but with a sparser inference structure. We also +discuss performances with sparse factor models where we notice that relative performances decrease +with the number of factors. + +### HIGH-DIMENSIONAL PRECISION MATRIX ESTIMATION WITH A KNOWN GRAPHICAL STRUCTURE [pdf](https://arxiv.org/pdf/2107.06815.pdf) +Le and Zhong 2021 + +A precision matrix is the inverse of a covariance matrix. In this paper, we study the problem of +estimating the precision matrix with a known graphical structure under high-dimensional settings. +We propose a simple estimator of the precision matrix based on the connection between the known +graphical structure and the precision matrix. We obtain the rates of convergence of the proposed +estimators and derive the asymptotic normality of the proposed estimator in the high-dimensional +setting when the data dimension grows with the sample size. Numerical simulations are conducted +to demonstrate the performance of the proposed method. We also show that the proposed method +outperforms some existing methods that do not utilize the graphical structure information + +### The Graphical Lasso: New Insights and Alternatives [pdf](https://hastie.su.domains/Papers/glasso_revisit_trevor_arxiv.pdf) +Mazumder, Hastie + +We show that in fact glasso is solving the dual of the graphical lasso penalized likelihood, +by block coordinate descent. In this dual, the target of estimation is Σ, the covariance matrix, +rather than the precision matrix Θ. We propose similar primal algorithms p-glasso and dpglasso, that also operate by block-coordinate descent, where Θ is the optimization target. We +study all of these algorithms, and in particular different approaches to solving their coordinate +subproblems. We conclude that dp-glasso is superior from several points of view. + +### Covariance Prediction via Convex Optimization [pdf](https://stanford.edu/~boyd/papers/pdf/forecasting_covariances.pdf) +Barratt, Boyd 2021 + +We consider the problem of predicting the covariance of a zero mean Gaussian +vector, based on another feature vector. We describe a covariance predictor that has +the form of a generalized linear model, i.e., an affine function of the features followed +by an inverse link function that maps vectors to symmetric positive definite matrices. +The log-likelihood is a concave function of the predictor parameters, so fitting the +predictor involves convex optimization. Such predictors can be combined with others, +or recursively applied to improve performance. + +### A review of two decades of correlations, hierarchies, networks and clustering in financial markets [pdf](https://arxiv.org/pdf/1703.00485.pdf) +Marti, Nielsen, Binkowski, Donnat 2020 + +We review the state of the art of clustering financial time series and the study of their correlations alongside +other interaction networks. The aim of this review is to gather in one place the relevant material from +different fields, e.g. machine learning, information geometry, econophysics, statistical physics, econometrics, +behavioral finance. We hope it will help researchers to use more effectively this alternative modeling of the +financial time series. Decision makers and quantitative researchers may also be able to leverage its insights. +Finally, we also hope that this review will form the basis of an open toolbox to study correlations, hierarchies, +networks and clustering in financial markets. + +### An Linfinity Eigenvector Perturbation Bound and Its Application to Robust Covariance Estimation [pdf](https://www.jmlr.org/papers/volume18/16-140/16-140.pdf) +Fan, Wang, Zhong + +In statistics and machine learning, we are interested in the eigenvectors (or singular vectors) of certain matrices (e.g. covariance matrices, data matrices, etc). However, those +matrices are usually perturbed by noises or statistical errors, either from random sampling +or structural patterns. The Davis-Kahan sin θ theorem is often used to bound the difference between the eigenvectors of a matrix A and those of a perturbed matrix Ae = A + E, +in terms of `2 norm. In this paper, we prove that when A is a low-rank and incoherent +matrix, the `∞ norm perturbation bound of singular vectors (or eigenvectors in the symmetric case) is smaller by a factor of √ +d1 or √ +d2 for left and right vectors, where d1 and d2 +are the matrix dimensions. The power of this new perturbation result is shown in robust +covariance estimation, particularly when random variables have heavy tails. There, we propose new robust covariance estimators and establish their asymptotic properties using the +newly developed perturbation bound. Our theoretical results are verified through extensive +numerical experiments. + +### Accounting for the Epps effect: Realized covariation, cointegration and common factors. Unpublished paper: Oxford-Man (2007) +jeremy large [pdf](http://citeseer.ist.psu.edu/viewdoc/download?doi=10.1.1.371.4076&rep=rep1&type=pdf) + +High-frequency realized variance approaches offer great promise for estimating asset prices ’ covariation, but encounter difficulties connected to the Epps effect. This paper models the Epps effect in a stochastic volatility setting. It adds dependent noise to a factor representation of prices. The noise both offsets covariation and describes plausible lags in information transmission. Non-synchronous trading, another recognized source of the effect, is not required. A resulting estimator of correlations and betas performs well on LSE mid-quote data, lending empirical credence to the approach. + + + +### Performance Improvements for Risk Balanced Portfolios +Kanstantsin Kulak + +This paper focuses on the risk balanced portfolio approach. It comprises a careful consideration +of the techniques that can be used for tactical portfolio tilts in order to improve portfolio performance. The emphasis is on usability of these techniques by the majority of investors, regardless of +their asset preferences or risk appetite. After an overview of the topic, the macroeconomic regimes +model is constructed for portfolio tilts. Then a topic is switched to assets covariances and correlations - a crucial step in portfolio construction. Hidden Markov, regression and ARIMA models +are used in an attempt to predict future assets correlation values. The results are quantified and +analysed + +### The Gerber statistic: a robust co-movement measure for portfolio optimization +Gerber, Markowitz, Ernst, Sargen, Miao, Javid + +The purpose of this paper is to introduce the Gerber statistic, a robust co-movementmeasure for covariance matrix estimation for the purpose of portfolio construction. TheGerber statistic extends Kendall’s Tau by counting the proportion of simultaneous co-movements in series when their amplitudes exceed data-dependent thresholds. Sincethe statistic is neither affected by extremely large or extremely small movements, it isespecially well-suited for financial time series, which often exhibit extreme movementsas well as a great amount of noise. Operating within the mean-variance portfolio op-timization framework of Markowitz (1952, 1959), we consider the performance of theGerber statistic against two other commonly used methods for estimating the covari-ance matrix of stock returns: the sample covariance matrix (also called the historicalcovariance matrix) and shrinkage of the sample covariance matrix as formulated inLedoit and Wolf (2004). Using a well-diversified portfolio of nine assets over a thirtyyear time period (January 1990-December 2020), we empirically find that, for almostall scenarios considered, the Gerber statistic’s returns dominate those achieved by bothhistorical covariance and by the shrinkage method of Ledoit and Wolf (2004) + + +### Cumulative Distribution Functions and UPM/LPM Analysis [pdf](https://papers.ssrn.com/sol3/papers.cfm?abstract_id=2148482) +Viole and Nawrocki + +We show that the Cumulative Distribution Function (CDF) is represented by the ratio of the lower partial moment (LPM) ratio to the distribution for the interval in question. The addition of the upper partial moment (UPM) ratio enables us to create probability density functions (PDF) for any function without prior knowledge of its characteristics. We are able to replicate discrete distribution CDFs and PDFs for normal, uniform, poisson, and chi-square distributions, as well as true continuous distributions. This framework provides a new formulation for UPM/LPM portfolio analysis using co-partial moment matrices which are positive symmetrical semi-definite, aggregated to yield a positive symmetrical definite matrix. + +## Filtering NOise from Correlation Matrices (Detection of Correlation Diversion, Pairs Trading, Risk Analysis Et al) [pdf](https://papers.ssrn.com/sol3/Delivery.cfm/SSRN_ID2378911_code2184499.pdf?abstractid=2378911&mirid=1) +Alexander Izmailov and Brian Shay + +Demonstration of the omnipresence of noise in financial correlation/covariance matrices revealed by means of random matrix theory, a branch of probability theory. Introduction of the Shannon entropy as a measure of noise in correlation matrices. Demonstration of substantial entropy decrease as a result of noise filtering on a few examples. A problem of paramount importance, but rarely addressed by buy-side and sell-side portfolio managers and other market practitioners, is the problem of filtering noise from correlation matrices. This noise is the inevitable consequence of the imperfection of traditional modeling assumptions, especially the representation of infinite returns time series as finite samples. + + +## Reliable Covariance Estimation [pdf](https://arxiv.org/pdf/2006.03311v3.pdf) +Ilya Soloveychik + +Covariance or scatter matrix estimation is ubiquitous in most modern statistical and machine learning +applications. The task becomes especially challenging since most real-world datasets are essentially nonGaussian. The data is often contaminated by outliers and/or has heavy-tailed distribution causing the +sample covariance to behave very poorly and calling for robust estimation methodology. The natural +framework for the robust scatter matrix estimation is based on elliptical populations. Here, Tyler’s +estimator stands out by being distribution-free within the elliptical family and easy to compute. The +existing works thoroughly study the performance of Tyler’s estimator assuming ellipticity but without +providing any tools to verify this assumption when the covariance is unknown in advance. We address +the following open question: Given the sampled data and having no prior on the data generating process, +how to assess the quality of the scatter matrix estimator? In this work we show that this question can +be reformulated as an asymptotic uniformity test for certain sequences of exchangeable vectors on the +unit sphere. We develop a consistent and easily applicable goodness-of-fit test against all alternatives +to ellipticity when the scatter matrix is unknown. The findings are supported by numerical simulations +demonstrating the power of the suggest technique. + +## Elliptical Black-Litterman portfolio optimization +Andrzej Palczewski and Jan Palczewski + +We extend the Black-Litterman framework beyond normality to general elliptical distributions of investor’s views and asset returns and portfolio risk measured by CVaR. Unlike existing solutions, cf. Xiao and Valdez [Quant. Finan. 2015, 15:3, 509–519], the choice of distributions, with the first and second moment constant, has a significant effect on optimal portfolio weights in a way that cannot be achieved by appropriate reparametrisation of the classical Black-Litterman methodology. The posterior distribution, in general, is not in a parametric form and, therefore, we design efficient numerical algorithms for approximating it in order to compute optimal portfolio weights. Of independent interest are our results on equivalence of a variety of portfolio optimization problems for elliptical distributions with linear constraints in the sense that they select portfolios from the same efficient frontier. We further prove a mutual fund theorem in this broad framework + + +## Regularized M-estimators of scatter matrix [pdf](https://arxiv.org/pdf/1405.2528.pdf) +Esa Ollia and David Tyler + +In this paper, a general class of regularized +M- estimators of scatter matrix are proposed which are suitable also +for low or insufficient sample support (small n and large +p) problems. The considered class constitutes a natural generalization of M-estimators of scatter matrix (Maronna, 1976) and are defined +as a solution to a penalized +M-estimation cost function that +depend on a pair +(α, β) of regularization parameters. We derive +general conditions for uniqueness of the solution using concept of +geodesic convexity. Since these conditions do not include Tyler’s M-estimator, necessary and sufficient conditions for uniqueness +of the penalized Tyler’s cost function are established separately. +For the regularized Tyler’s +M-estimator, we also derive a simple, +closed form and data dependent solution for choosing the +regularization parameter based on shape matrix matching in +the mean squared sense. An iterative algorithm that converges +to the solution of the regularized +M-estimating equation is +also provided. + +## cvCovEst: Cross-validated covariance matrix estimator selection and evaluation in R [pdf](https://www.researchgate.net/publication/353470417_cvCovEst_Cross-validated_covariance_matrix_estimator_selection_and_evaluation_in_R/fulltext/60ff5b410c2bfa282a02e8d3/cvCovEst-Cross-validated-covariance-matrix-estimator-selection-and-evaluation-in-R.pdf?origin=figuresDialog_download) +Boileau, Hejazi, Collica, van der Laan, Dudoit + +Covariance matrices play fundamental roles in myriad statistical procedures. When the observations in a dataset far outnumber the features, asymptotic theory and empirical evidence have +demonstrated the sample covariance matrix to be the optimal estimator of this parameter. +This assertion does not hold when the number of observations is commensurate with or smaller +than the number of features. Consequently, statisticians have derived many novel covariance +matrix estimators for the high-dimensional regime, often relying on additional assumptions +about the parameter’s structural characteristics (e.g., sparsity). While these estimators have +greatly improved the ability to estimate covariance matrices in high-dimensional settings, objectively selecting the best estimator from among the many possible candidates remains a +largely unaddressed challenge. The cvCovEst package addresses this methodological gap +through its implementation of a cross-validated framework for covariance matrix estimator +selection. This data-adaptive procedure’s selections are asymptotically optimal under minimal +assumptions – in fact, they are equivalent to the selections that would be made if given full +knowledge of the true data-generating processes (i.e., an oracle selector + +## Large Covariance Estimation by Thresholding Principal Orthogonal Complements +Fan, Liao, Mincheva + +This paper deals with the estimation of a high-dimensional covariance with a conditional sparsity structure and fast-diverging eigenvalues. By assuming sparse error covariance matrix in an approximate factor model, we allow for the presence of some cross-sectional correlation even after taking out common but unobservable factors. We introduce the Principal Orthogonal complEment Thresholding (POET) method to explore such an approximate factor structure with sparsity. The POET estimator includes the sample covariance matrix, the factor-based covariance matrix (Fan, Fan, and Lv, 2008), the thresholding estimator (Bickel and Levina, 2008) and the adaptive thresholding estimator (Cai and Liu, 2011) as specific examples. We provide mathematical insights when the factor analysis is approximately the same as the principal component analysis for high-dimensional data. The rates of convergence of the sparse residual covariance matrix and the conditional sparse covariance matrix are studied under various norms. It is shown that the impact of estimating the unknown factors vanishes as the dimensionality increases. The uniform rates of convergence for the unobserved factors and their factor loadings are derived. The asymptotic results are also verified by extensive simulation studies. Finally, a real data application on portfolio allocation is presented. + + +## Online Cross-Validation-Based Ensemble Learning [pdf](https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5671383/pdf/nihms870890.pdf) +Benkeser, Ju, Lendle, van der Laan + +Online estimators update a current estimate with a new incoming batch of data without having to revisit past data thereby providing streaming estimates that are scalable to big data. We develop flexible, ensemble-based online estimators of an infinite-dimensional target parameter, such as a regression function, in the setting where data are generated sequentially by a common conditional data distribution given summary measures of the past. This setting encompasses a wide range of time-series models and as special case, models for independent and identically distributed data. Our estimator considers a large library of candidate online estimators and uses online cross-validation to identify the algorithm with the best performance. We show that by basing estimates on the cross-validation-selected algorithm, we are asymptotically guaranteed to perform as well as the true, unknown best-performing algorithm. We provide extensions of this approach including online estimation of the optimal ensemble of candidate online estimators. We illustrate excellent performance of our methods using simulations and a real data example where we make streaming predictions of infectious disease incidence using data from a large database + +## Advances in High-Dimensional Covariance Matrix Estimation [via](https://depositonce.tu-berlin.de/handle/11303/5357) +Daniel Bartz + +Many applications require precise estimates of high-dimensional covariance matrices. The standard estimator is the sample covariance matrix, which is conceptually simple, fast to compute and has favorable properties in the limit of infinitely many observations. The picture changes when the dimensionality is of the same order as the number of observations. In such cases, the eigenvalues of the sample covariance matrix are highly biased, the condition number becomes large and the inversion of the matrix gets numerically unstable. + +A number of alternative estimators are superior in the high-dimensional setting, which include as subcategories structured estimators, regularized estimators and spectrum correction methods. In this thesis I contribute to all three areas. In the area of structured estimation, I focus on models with low intrinsic dimensionality. I analyze the bias in Factor Analysis, the state-of-the-art factor model and propose Directional Variance Adjustment (DVA) Factor Analysis, which reduces bias and yields improved estimates of the covariance matrix. + +Analytical shrinkage of Ledoit and Wolf (LW-Shrinkage) is the most popular regularized estimator. I contribute in three aspects: first, I provide a theoretical analysis of the behavior of LW-Shrinkage in the presence of pronounced eigendirections, a case of great practical relevance. I show that LW-Shrinkage does not perform well in this setting and propose aoc-Shrinkage which yields significant improvements. Second, I discuss the effect of autocorrelation on LW-Shrinkage and review the Sancetta-Estimator, an extension of LW-Shrinkage to autocorrelated data. I show that the Sancetta-Estimator is biased and propose a theoretically and empirically superior estimator with reduced bias. Third, I propose an extension of shrinkage to multiple shrinkage targets. Multi-Target Shrinkage is not restricted to covariance estimation and allows for many interesting applications which go beyond regularization, including transfer learning. I provide a detailed theoretical and empirical analysis. + +Spectrum correction approaches the problem of covariance estimation by improving the estimates of the eigenvalues of the sample covariance matrix. I discuss the state-of-the-art approach, Nonlinear Shrinkage, and propose a cross-validation based covariance (CVC) estimator which yields competitive performance at increased numerical stability and greatly reduced complexity and computational cost. On all data sets considered, CVC is on par or superior in comparison to the regularized and structured estimators. + +In the last chapter, I conclude with a discussion of the advantages and disadvantages of all covariance estimators presented in this thesis and give situation-specific recommendations. In addition, the appendix contains a systematic analysis of Linear Discriminant Analysis as a model application, which sheds light on the interdependency between the generative model of the data and various covariance estimators. + +## Estimation of Theory-Implied Correlation Matrices [pdf](https://papers.ssrn.com/sol3/Delivery.cfm/SSRN_ID3484152_code434076.pdf?abstractid=3484152&mirid=1) +Marcos Lopez de Prado + +This paper introduces a machine learning (ML) algorithm to estimate forward-looking correlation matrices implied by economic theory. Given a particular theoretical representation of the hierarchical structure that governs a universe of securities, the method fits the correlation matrix that complies with that theoretical representation of the future. This particular use case demonstrates how, contrary to popular perception, ML solutions are not black-boxes, and can be applied effectively to develop and test economic theories. + +## The Myth of Diversification Reconsidered [pdf](https://papers.ssrn.com/sol3/papers.cfm?abstract_id=3781844) +Kinlaw Kritzman Page and Turkington + +That investors should diversify their portfolios is a core principle of modern finance. Yet there are some periods where diversification is undesirable. When the portfolio’s main growth engine performs well, investors prefer the opposite of diversification. An ideal complement to the growth engine would provide diversification when it performs poorly and unification when it performs well. Numerous studies have presented evidence of asymmetric correlations between assets. Unfortunately, this asymmetry is often of the undesirable variety: it is characterized by downside unification and upside diversification. In other words, diversification often disappears when it is most needed. In this article we highlight a fundamental flaw in the way that some prior studies have measured correlation asymmetry. Because they estimate downside correlations from subsamples where both assets perform poorly, they ignore instances of “successful” diversification; that is, periods where one asset’s gains offset the other’s losses. We propose instead that investors measure what matters: the degree to which a given asset diversifies the main growth engine when it underperforms. This approach yields starkly different conclusions, particularly for asset pairs with low full sample correlation. In this paper we review correlation mathematics, highlight the flaw in prior studies, motivate the correct approach, and present an empirical analysis of correlation asymmetry across major asset classes. + +## A constrained hierarchical risk parity algorithm with cluster-based capital allocation [via](https://ideas.repec.org/p/sza/wpaper/wpapers328.html) +Johann Pfitzinger and Nico Ktazke + +Hierarchical Risk Parity (HRP) is a risk-based portfolio optimisation algorithm, which has been shown to +generate diversified portfolios with robust out-of-sample properties without the need for a positive-definite +return covariance matrix (Lopez de Prado 2016). The algorithm applies machine learning techniques to identify +the underlying hierarchical correlation structure of the portfolio, allowing clusters of similar assets to compete for +capital. The resulting allocation is both well-diversified over risk sources and intuitively appealing. This paper +proposes a method of fully exploiting the information created by the clustering process, achieving enhanced +out-of-sample risk and return characteristics. In addition, a practical approach to calculating HRP weights +under box and group constraints is introduced. A comprehensive set of portfolio simulations over 6 equity +universes demonstrates the appeal of the algorithm for portfolios consisting of 20 − 200 assets. HRP delivers +highly diversified allocations with low volatility, low portfolio turnover and competitive performance metrics + +## Schur Complement and Symmetric Positive Semidefinite Matrices [pdf](https://www.cis.upenn.edu/~jean/schur-comp.pdf) +Jean Gallier + +In this note, we provide some details and proofs of some results from Appendix A.5 (especially +Section A.5.5) of Convex Optimization by Boyd and Vandenberghe. + + +## Fast and accurate techniques for computing schur complements and performing numerical coarse graining [slides](https://amath.colorado.edu/faculty/martinss/Talks/2009_banff.pdf) +Gunnar Martinsson + +## A Closer look at the Minimum-Variance Portfolio Optimization Model [pdf](https://downloads.hindawi.com/journals/mpe/2019/1452762.pdf) +Zhifeng Dai + +Recently, by imposing the regularization term to objective function or additional norm constraint to portfolio weights, a number +of alternative portfolio strategies have been proposed to improve the empirical performance of the minimum-variance portfolio. +In this paper, we firstly examine the relation between the weight norm-constrained method and the objective function regularization method in minimum-variance problems by analyzing the Karush–Kuhn–Tucker conditions of their Lagrangian +functions. We give the range of parameters for the two models and the corresponding relationship of parameters. Given the range +and manner of parameter selection, it will help researchers and practitioners better understand and apply the relevant portfolio +models. We apply these models to construct optimal portfolios and test the proposed propositions by employing real market data + +## Six Generalized Schur Complements [via](https://www.sciencedirect.com/science/article/pii/002437958890033X) +Butler and Morlay + +We give a unified treatment of equivalence betwene some old and new generalizations of the Shcur complement of matrices + +### G-Learner and GIRL: Goal Based Wealth Management with Reinfocement Learning [pdf](https://arxiv.org/abs/2002.10990) +Matthew Dixon and Igor Halperin + +We present a reinforcement learning approach to goal based wealth management problems such as optimization of retirement plans or target dated funds. In such problems, an investor seeks to achieve a financial goal by making periodic investments in the portfolio while being employed, and periodically draws from the account when in retirement, in addition to the ability to re-balance the portfolio by selling and buying different assets (e.g. stocks). Instead of relying on a utility of consumption, we present G-Learner: a reinforcement learning algorithm that operates with explicitly defined one-step rewards, does not assume a data generation process, and is suitable for noisy data. Our approach is based on G-learning - a probabilistic extension of the Q-learning method of reinforcement learning. +In this paper, we demonstrate how G-learning, when applied to a quadratic reward and Gaussian reference policy, gives an entropy-regulated Linear Quadratic Regulator (LQR). This critical insight provides a novel and computationally tractable tool for wealth management tasks which scales to high dimensional portfolios. In addition to the solution of the direct problem of G-learning, we also present a new algorithm, GIRL, that extends our goal-based G-learning approach to the setting of Inverse Reinforcement Learning (IRL) where rewards collected by the agent are not observed, and should instead be inferred. We demonstrate that GIRL can successfully learn the reward parameters of a G-Learner agent and thus imitate its behavior. Finally, we discuss potential applications of the G-Learner and GIRL algorithms for wealth management and robo-advising + + +### Super Learner in Prediction [via](https://biostats.bepress.com/ucbbiostat/paper266/) +Eric Polley and Mark J. van der Laan + +Super learning is a general loss based learning method that has been proposed and analyzed theoretically in van der Laan et al. (2007). In this article we consider super learning for prediction. The super learner is a prediction method designed to find the optimal combination of a collection of prediction algorithms. The super learner algorithm finds the combination of algorithms minimizing the cross-validated risk. The super learner framework is built on the theory of cross-validation and allows for a general class of prediction algorithms to be considered for the ensemble. Due to the previously established oracle results for the cross-validation selector, the super learner has been proven to represent an asymptotically optimal system for learning. In this article we demonstrate the practical implementation and finite sample performance of super learning in prediction. + + +### Ensemble Selection from Libraries of Models [pdf](https://www.cs.cornell.edu/~alexn/papers/shotgun.icml04.revised.rev2.pdf) +Caruna, Niculescu-Mizil, Crew and Ksikes + +We present a method for constructing ensembles from libraries of thousands of models. +Model libraries are generated using different +learning algorithms and parameter settings. +Forward stepwise selection is used to add to +the ensemble the models that maximize its +performance. Ensemble selection allows ensembles to be optimized to performance metric such as accuracy, cross entropy, mean +precision, or ROC Area. Experiments with +seven test problems and ten metrics demonstrate the benefit of ensemble selection. + +## Copula Based Portfolio Optimization [pdf](http://www.diva-portal.org/smash/get/diva2:1588992/FULLTEXT01.pdf) +Maziar Sahamkhadam + +This thesis studies and develops copula-based portfolio optimization. The overall +purpose is to clarify the effects of copula modeling for portfolio allocation and +suggest novel approaches for copula-based optimization. The thesis is a compilation +of five papers. The first and second papers study and introduce copula-based +methods; the third, fourth, and fifth papers extend their applications to the BlackLitterman (BL) approach, expectile Value-at-Risk (EVaR), and multicriteria +optimization, respectively. + + +## Combining Portfolio Models [pdf](http://aeconf.com/Articles/Nov2014/aef150208.pdf) +Peter Schanbacher + +The best asset allocation model is searched for. In this paper, we argue that +it is unlikely to find an individual model which continuously outperforms its +competitors. Rather one should consider a combined model out of a given set +of asset allocation models. In a large empirical study using various standard +asset allocation models, we find that (i) the best model depends strongly on +the chosen data set, (ii) it is difficult to ex-ante select the best model, and +(iii) the combination of models performs exceptionally well. Frequently, the +combination even outperforms the ex-post best asset allocation model. The +promising results are obtained by a simple combination method based on a +bootstrap procedure. More advanced combination approaches are likely to +achieve even better results. + +## A Nested Factor Model for non-linear dependencies in stock returns [pdf](https://arxiv.org/pdf/1309.3102.pdf) +REMY CHICHEPORTICHE AND JEAN-PHILIPPE BOUCHAUD + +The aim of our work is to propose a natural framework to account for all the empirically +known properties of the multivariate distribution of stock returns. We define and study a “nested factor +model”, where the linear factors part is standard, but where the log-volatility of the linear factors and +of the residuals are themselves endowed with a factor structure and residuals. We propose a calibration +procedure to estimate these log-vol factors and the residuals. We find that whereas the number of +relevant linear factors is relatively large (10 or more), only two or three log-vol factors emerge in our +analysis of the data. In fact, a minimal model where only one log-vol factor is considered is already very +satisfactory, as it accurately reproduces the properties of bivariate copulas, in particular the dependence +of the medial-point on the linear correlation coefficient, as reported in Chicheportiche and Bouchaud +(2012). We have tested the ability of the model to predict Out-of-Sample the risk of non-linear portfolios, +and found that it performs significantly better than other schemes. + +## A Forecast Comparison of Volatility Models [pdf](http://faculty.washington.edu/ezivot/econ589/DoesAnythingBeatGarch11.pdf) +Hansen and Lunde + +By using intra-day returns to calculate a measure for the time-varying volatility, Andersen and Bollerslev (1998a) established that volatility models do provide good forecasts of the conditional variance. In this paper, we take the same approach and use intra-day estimated measures of volatility to compare volatility models. Our objective is to evaluate whether the evolution of volatility models has led to better forecasts of volatility when compared to the first “species” of volatility models. We make an out-of-sample comparison of 330 different volatility models using daily exchange rate data (DM/$) and IBM stock prices. Our analysis does not point to a single winner amongst the different volatility models, as it is different models that are best at forecasting the volatility of the two types of assets. Interestingly, the best models do not provide a significantly better forecast than the GARCH(1,1) model. + + +## Bayesian Inference for Correlations in the Presence of Measurement Error and Estimation Uncertainty [pdf](http://www.alexander-ly.com/wp-content/uploads/2014/09/MatzkeEtAl2016NoisyCorrelations.pdf) also [pdf](https://arxiv.org/pdf/1510.01188.pdf) +Dora Matzke1, Alexander Ly1, Ravi Selker , Wouter D. Weeda, Benjamin Scheibehenne, Michael D. Lee, and Eric-Jan Wagenmakers + +Whenever parameter estimates are uncertain or observations are contaminated by measurement error, the Pearson correlation coefficient can severely underestimate the true +strength of an association. Various approaches exist for inferring the correlation in the +presence of estimation uncertainty and measurement error, but none are routinely applied +in psychological research. Here we focus on a Bayesian hierarchical model proposed by +Behseta, Berdyyeva, Olson, and Kass (2009) that allows researchers to infer the underlying +correlation between error-contaminated observations. We show that this approach may be +also applied to obtain the underlying correlation between uncertain parameter estimates +as well as the correlation between uncertain parameter estimates and noisy observations. +We illustrate the Bayesian modeling of correlations with two empirical data sets; in each +data set, we first infer the posterior distribution of the underlying correlation and then +compute Bayes factors to quantify the evidence that the data provide for the presence of +an association + +## Optimizing the Omega Ratio using Linear Programming [pdf](https://cs.uwaterloo.ca/~yuying/Courses/CS870_2012/Omega_paper_Short_Cm.pdf) +Kapsos et al + +The Omega Ratio is a recent performance measure. It captures both, the downside and upside potential of +the constructed portfolio, while remaining consistent with utility maximization. In this paper, a new approach to +compute the maximum Omega Ratio as a linear program is derived. While the Omega ratio is considered to be +a non-convex function, we show an exact formulation in terms of a convex optimization problem, and transform +it as a linear program. The convex reformulation for the Omega Ratio maximization is a direct analogue to +mean-variance framework and the Sharpe Ratio maximization. + +## Out of sample performance of Asset Allocation Strategies +Daniela Kolusheva + +## Using out-of-sample errors in portfolio optimization [pdf](https://www.clsbe.lisboa.ucp.pt/system/files/assets/files/2016-paper-pedro-barroso.pdf) +Pedro Barroso + +Portfolio optimization usually struggles in realistic out of sample contexts. I deconstruct this stylized fact comparing historical estimates of the inputs of portfolio +optimization with their subsequent out of sample counterparts. I confirm that historical estimates are often very imprecise guides of subsequent values but also +find this lack of persistence varies significantly across inputs and sets of assets. +Strikingly, the resulting estimation errors are not entirely random. They have predictable patterns and can be partially reduced using their own previous history. A +plain Markowitz optimization using corrected inputs performs quite well, out of +sample, namely outperforming the 1/N rule. Also the corrected covariance matrix +captures the risk of optimal portfolios much better than the historical one + +## Risk Parity, Maximum Diversification, and Minimum Variance: An Analytic Perspective [pdf](https://www.hillsdaleinv.com/uploads/Risk_Parity%2C_Maximum_Diversification%2C_and_Minimum_Variance-_An_Analytic_Perspective.pdf) +Roger Clark, Harindra de Silva, Steven Thorley + +In any event, the primary purpose of this study +is to provide general analytic solutions to risk-based +portfolios, not just another empirical back test. Further examination of the historical data in regards to +transaction costs and turnover, for example in Li, Sullivan, and Garcia-Feijoo [2013], may shed more light +on the exploitability of the low-risk anomaly. + + +## Risk Parity: Silver Bullet or a Bridge Too Far? [pdf](https://www.callan.com/uploads/2020/05/91d4bcabd3f4e687695022501ac62030/chapter-4-from-managing-multiasset-strategies-2018.pdf) +Gregory C. Allen + +In this chapter, I evaluate the risk parity argument from a theoretical +standpoint using the modern portfolio theory (MPT) framework of +Markowitz (1952) and Tobin (1958). I then examine the historical +performance (both simulated and actual) of risk parity portfolios relative to traditional portfolios used by institutional investors. Finally, +I discuss the evolution of risk parity strategies and the prevalence of +their use by institutional investors + +## The Risk in Risk Parity: A Factor Based Analysis of Asset-Based Risk Parity [via](https://www.researchgate.net/publication/256038119_The_Risk_in_Risk_Parity_A_Factor_Based_Analysis_of_Asset_Based_Risk_Parity) +Bhansali, David, Rennison et al + +The risks embedded in asset-based risk parity portfolios are explored using a simple, economically motivated factor approach. We show that such an approach can substantially demystify and make explicit the drivers of returns for asset-based risk parity portfolios. The proposed framework can be used to assess the “true” parity in the underlying risk factor exposures for a given portfolio; it also allows investors to understand the active risks that a manager might be taking against his default risk parity position. Using a number of commercial risk parity portfolio returns, we find that traditional asset-based risk strategies, which are diversified in the asset space, can often be dominated by only one or two risk factors (equity and bond factors). In addition, these risk parity portfolios often exhibit very aggressive tactical allocations to the underlying factors, suggesting that active views on asset and/or factor are being expressed in many risk parity portfolios. + +## Online Portfolio Selection: A Survey [pdf](https://arxiv.org/pdf/1212.2129) +Bin LI, Steven C. H. Hoi + +Online portfolio selection is a fundamental problem in computational finance, which has been extensively studied across several research communities, including finance, statistics, artificial intelligence, machine learning, and data mining, etc. This article aims to provide a comprehensive survey and a structural understanding of published online portfolio selection techniques. From an online machine learning perspective, we first formulate online portfolio selection as a sequential decision problem, and then survey a variety of state-of-the-art approaches, which are grouped into several major categories, including benchmarks, "Follow-the-Winner" approaches, "Follow-the-Loser" approaches, "Pattern-Matching" based approaches, and "Meta-Learning Algorithms". In addition to the problem formulation and related algorithms, we also discuss the relationship of these algorithms with the Capital Growth theory in order to better understand the similarities and differences of their underlying trading ideas. This article aims to provide a timely and comprehensive survey for both machine learning and data mining researchers in academia and quantitative portfolio managers in the financial industry to help them understand the state-of-the-art and facilitate their research and practical applications. We also discuss some open issues and evaluate some emerging new trends for future research directions. + +## What's the big deal about risk parity? [pdf](https://www.researchgate.net/profile/Robert-Ferguson-14/publication/312284109_What%27s_the_big_deal_about_Risk_Parity/links/5a8049d7aca272a73769d1c0/Whats-the-big-deal-about-Risk-Parity.pdf) +Anna Agapova, Robert Ferguson, Dean Leistikow, Danny Meidan + +It is often argued in defense of Risk Parity portfolios that they maximize the +Sharpe ratio if their securities have identical Sharpe ratios and identical correlations. However, securities have neither identical Sharpe ratios nor this correlation structure. In realistic +markets, Risk Parity portfolios do not maximize the Sharpe ratio, do not minimize variance, +do not maximize the Information ratio, and do not have any other commonly sought optimal +property. So, what’s the big deal about Risk Parity? + + +## Hierarchical Sensitivity Parity [pdf](https://arxiv.org/pdf/2202.08921) +Alejandro Rodriguez + +n this work we present a new framework for modelling portfolio dynamics and how to incorporate this information in the portfolio selection process. We define drivers for asset and portfolio dynamics, and their optimal selection. We introduce the new Commonality Principle, which gives a solution for the optimal selection of portfolio drivers as being the common drivers. Asset dynamics are modelled by PDEs and approximated with Neural Networks, and sensitivities of portfolio constituents with respect to portfolio common drivers are obtained via Automatic Adjoint Differentiation (AAD). Information of asset dynamics is incorporated via sensitivities into the portfolio selection process. Portfolio constituents are projected into a hypersurface, from a vector space formed by the returns of common drivers of the portfolio. The commonality principle allows for the necessary geometric link between the hyperplane formed by portfolio constituents in a traditional setup with no exogenous information, and the hypersurface formed by the vector space of common portfolio drivers, so that when portfolio constituents are projected into this hypersurface, the representations of idiosyncratic risks from the hyperplane are kept at most in this new subspace, while systematic risks representations are added via exogenous information as part of this common drivers vector space. We build a sensitivity matrix, which is a similarity matrix of the projections in this hypersurface, and can be used to optimize for diversification on both, idiosyncratic and systematic risks, which is not contemplated on the literature. Finally, we solve the convex optimization problem for optimal diversification by applying a hierarchical clustering to the sensitivity matrix, avoiding quadratic optimizers for the matrix properties, and we reach over-performance in all experiments with respect to all other out-of-sample methods. + + +## On the properties of equally-weighted risk contributions portfolios +Maillard, Roncalli and Teiletche + +Minimum variance and equally-weighted portfolios have recently prompted +great interest both from academic researchers and market practitioners, as their +construction does not rely on expected average returns and is therefore assumed to be robust. In this paper, we consider a related approach, where the +risk contribution from each portfolio components is made equal, which maximizes diversication of risk (at least on an ex-ante basis). Roughly speaking, +the resulting portfolio is similar to a minimum variance portfolio subject to +a diversication constraint on the weights of its components. We derive the +theoretical properties of such a portfolio and show that its volatility is located +between those of minimum variance and equally-weighted portfolios. Empirical +applications conrm that ranking. All in all, equally-weighted risk contributions portfolios appear to be an attractive alternative to minimum variance +and equally-weighted portfolios and might be considered a good trade-o between those two approaches in terms of absolute level of risk, risk budgeting +and diversication. + +## High Performance Cholesky and Symmetric Indefinite Factorizations with Applications [pdf](https://www.maths.ed.ac.uk/sites/default/files/atoms/files/hogg.pdf) +Jonathan David Hogg + +The process of factorizing a symmetric matrix using the Cholesky (LLT) or indefinite (LDLT) factorization of A allows the efficient solution of systems Ax = b when A is symmetric. This +thesis describes the development of new serial and parallel techniques for this problem and +demonstrates them in the setting of interior point methods. +In serial, the effects of various scalings are reported, and a fast and robust mixed precision +sparse solver is developed. In parallel, DAG-driven dense and sparse factorizations are developed +for the positive definite case. These achieve performance comparable with other world-leading +implementations using a novel algorithm in the same family as those given by Buttari et al. for +the dense problem. Performance of these techniques in the context of an interior point method +is assessed. + + + +## Improved iterative methods for solving risk parity portfolio [pdf](https://www.emerald.com/insight/content/doi/10.1108/JDQS-12-2021-0031/full/pdf?title=improved-iterative-methods-for-solving-risk-parity-portfolio) +Jaehyuk Choi and Rong Chen + +Risk parity, also known as equal risk contribution, has recently gained increasing attention as a portfolio +allocation method. However, solving portfolio weights must resort to numerical methods as the analytic +solution is not available. This study improves two existing iterative methods: the cyclical coordinate descent +(CCD) and Newton methods. The authors enhance the CCD method by simplifying the formulation using a +correlation matrix and imposing an additional rescaling step. The authors also suggest an improved initial +guess inspired by the CCD method for the Newton method. Numerical experiments show that the improved +CCD method performs the best and is approximately three times faster than the original CCD method, saving +more than 40% of the iterations + +## On the Risk of Out-of-Smaple Portfolio Performance [pdf](https://www.researchgate.net/publication/351942213_On_the_Risk_of_Out-of-Sample_Portfolio_Performance) +Nathan Lassance, Alterto Martin-Utrera, Majeed Simaan + +We show that estimated mean-variance portfolios bear substantial out-of-sample utility risk in high-dimensional settings or when these portfolios exploit near-arbitrage opportunities. We propose a robustness measure that balances out-of-sample utility mean and volatility using our novel analytical characterization of out-of-sample utility risk. While individual portfolios do not offer maximal robust performance, portfolio combinations achieve the optimal tradeoff between out-of-sample utility mean and volatility and are more resilient to estimation errors. Our analysis of out-of-sample performance risk has implications for constructing and evaluating quantitative investment strategies and models of the stochastic discount factor. + + +## Fat Tailed Factors [pdf](https://arxiv.org/pdf/2011.13637) +Jan Rosenzweig + +Standard, PCA-based factor analysis suffers from a number of well known problems due to the random nature of pairwise correlations of asset returns. We analyse an alternative based on ICA, where factors are identified based on their non-Gaussianity, instead of their variance. Generalizations of portfolio construction to the ICA framework leads to two semi-optimal portfolio construction methods: a fat-tailed portfolio, which maximises return per unit of non-Gaussianity, and the hybrid portfolio, which asymptotically reduces variance and non-Gaussianity in parallel. For fat-tailed portfolios, the portfolio weights scale like performance to the power of 1/3, as opposed to linear scaling of Kelly portfolios; such portfolio construction significantly reduces portfolio concentration, and the winner-takes-all problem inherent in Kelly portfolios. For hybrid portfolios, the variance is diversified at the same rate as Kelly PCA-based portfolios, but excess kurtosis is diversified much faster than in Kelly, at the rate of n−2 compared to Kelly portfolios' n−1 for increasing number of components n. + + +## Portfolio Optimization Rules beyond the Mean-Variance Approach [pdf](https://arxiv.org/pdf/2305.08530) +Maxime Markov, Vladimir Markov + +In this paper, we revisit the relationship between investors' utility functions and portfolio allocation rules. We derive portfolio allocation rules for asymmetric Laplace distributed $ALD( \mu , \sigma , \kappa)$ returns and compare them with the mean-variance approach, which is based on Gaussian returns. We reveal that in the limit of small $\frac{\mu}{\sigma}$, the Markowitz contribution is accompanied by a skewness term. We also obtain the allocation rules when the expected return is a random normal variable in an average and worst-case scenarios, which allows us to take into account uncertainty of the predicted returns. An optimal worst-case scenario solution smoothly approximates between equal weights and minimum variance portfolio, presenting an attractive convex alternative to the risk parity portfolio. We address the issue of handling singular covariance matrices by imposing conditional independence structure on the precision matrix directly. Finally, utilizing a microscopic portfolio model with random drift and analytical expression for the expected utility function with log-normal distributed cross-sectional returns, we demonstrate the influence of model parameters on portfolio construction. This comprehensive approach enhances allocation weight stability, mitigates instabilities associated with the mean-variance approach, and can prove valuable for both short-term traders and long-term investors. + +## Optimal portfolio allocation with uncertain covariance matrix [pdf](https://arxiv.org/pdf/2311.07478) +Maxime Markov, Vladimir Markov + +In this paper, we explore the portfolio allocation problem involving an uncertain covariance matrix. We calculate the expected value of the Constant Absolute Risk Aversion (CARA) utility function, marginalized over a distribution of covariance matrices. We show that marginalization introduces a logarithmic dependence on risk, as opposed to the linear dependence assumed in the mean-variance approach. Additionally, it leads to a decrease in the allocation level for higher uncertainties. Our proposed method extends the mean-variance approach by considering the uncertainty associated with future covariance matrices and expected returns, which is important for practical applications. + + + +## A FAST PARALLEL ALGORITHM FOR SELECTED INVERSION OF STRUCTURED SPARSE MATRICES WITH APPLICATION TO 2D ELECTRONIC STRUCTURE CALCULATIONS [pdf](https://sites.math.duke.edu/~jianfeng/paper/parallel.pdf) +LIN LIN, CHAO YANG, JIANFENG LU, LEXING YING, AND WEINAN E + +An efficient parallel algorithm is presented and tested for computing selected components of H−1 where H has the structure of a Hamiltonian matrix of two-dimensional lattice models +with local interaction. Calculations of this type are useful for several applications, including electronic structure analysis of materials in which the diagonal elements of the Green’s functions are +needed. The algorithm proposed here is a direct method based on an LDLT factorization. The +elimination tree is used to organize the parallel algorithm. Synchronization overhead is reduced by +passing the data level by level along this tree using the technique of local buffers and relative indices. +The performance of the proposed parallel algorithm is analyzed by examining its load balance and +communication overhead, and is shown to exhibit an excellent weak scaling on a large-scale high +performance parallel machine with distributed memory. + +## Optimal Diversification and Leverage in a Utility-Based Portfolio Allocation Approach [pdf](https://arxiv.org/pdf/2503.07498) +Vladimir Markov + +We examine the problem of optimal portfolio allocation within the framework of utility theory. We apply exponential utility to derive the optimal diversification strategy and logarithmic utility to determine the optimal leverage. We enhance existing methodologies by incorporating compound probability distributions to model the effects of both statistical and non-stationary uncertainties. Additionally, we extend the maximum expected utility objective by including the variance of utility in the objective function, which we term generalized mean-variance. In the case of logarithmic utility, it provides a natural explanation for the half-Kelly criterion, a concept widely used by practitioners. + diff --git a/MANIFEST.in b/MANIFEST.in new file mode 100644 index 00000000..a3fbf13b --- /dev/null +++ b/MANIFEST.in @@ -0,0 +1,5 @@ +recursive-include precise/skatervaluation/battleresults +recursive-include precise/examples_m6 +include README.md +include LICENSE +include LITERATURE.md diff --git a/MORE_LITERATURE.pdf b/MORE_LITERATURE.pdf new file mode 100644 index 00000000..1eaa1106 Binary files /dev/null and b/MORE_LITERATURE.pdf differ diff --git a/README.md b/README.md index ad414672..5a37e0d6 100644 --- a/README.md +++ b/README.md @@ -1,52 +1,80 @@ -# precise +# precise [docs](https://microprediction.github.io/precise/) ![tests](https://github.com/microprediction/precise/workflows/tests/badge.svg) ![tests_312](https://github.com/microprediction/precise/workflows/tests_312/badge.svg) ![tests-sans-ppo](https://github.com/microprediction/precise/workflows/tests-sans-ppo/badge.svg) ![License: MIT](https://img.shields.io/badge/License-MIT-yellow.svg) -Online covariance, correlation and precision matrix computations +Contents: -## Install +1. A collection of *online* (incremental) [covariance forecasting](https://github.com/microprediction/precise/blob/main/LISTING_OF_COV_SKATERS.md) and [portfolio construction](https://github.com/microprediction/precise/blob/main/LISTING_OF_MANAGERS.md) functions. See [docs](https://microprediction.github.io/precise/). + +2. "Schur Complementary" portfolio construction, a new approach that leans on connection between top-down (hierarchical) and bottom-up (optimization) portfolio construction revealed by block matrix inversion. See my posts on the [methodology](https://www.linkedin.com/posts/petercotton_schur-complementary-portfolios-a-unification-activity-7000535020381552640-ZWej?utm_source=share&utm_medium=member_desktop) and its role in the [hijacking of the M6 contest](https://www.linkedin.com/posts/alexander-fleiss-70b49410_does-option-volume-predict-stock-direction-activity-7021134433344749569-bxx4?utm_source=share&utm_medium=member_desktop). + +3. A small compendium of portfolio theory papers tilted towards my interests. See [literature](https://github.com/microprediction/precise/blob/main/LITERATURE.md). + +One observes that tools for portfolio construction might also be useful in [optimizing a portfolio of models](https://medium.com/geekculture/optimizing-a-portfolio-of-models-f1ed432d728b). + +NEW: Some [slides](https://github.com/microprediction/precise/blob/main/academic/Schur_Complementary_Portfolios_CQF_Slides_Updated.pdf) for the CQF talk. + +--- + + + + +--- + +# Usage +See the [docs](https://microprediction.github.io/precise/) but briefly ... + +### Covariance estimation +Here y is a vector: + + from precise.skaters.covariance.ewapm import ewa_pm_emp_scov_r005_n100 as f + s = {} + for y in ys: + x, x_cov, s = f(s=s, y=y) + +This package contains lots of different "f"s. There is a [LISTING_OF_COV_SKATERS](https://github.com/microprediction/precise/blob/main/LISTING_OF_COV_SKATERS.md) with links to the code. See the [covariance documentation](https://microprediction.github.io/precise/covariance.html). + +### Portfolio weights +Here y is a vector: + + from precise.skaters.managers.schurmanagers import schur_weak_pm_t0_d0_r025_n50_g100_long_manager as mgr + s = {} + for y in ys: + w, s = mgr(s=s, y=y) + +This package contains lots of "mgr"'s. There is a [LISTING_OF_MANAGERS](https://github.com/microprediction/precise/blob/main/LISTING_OF_MANAGERS.md) with links to respective code. See the [manager documentation](https://microprediction.github.io/precise/managers.html). + +# Install +Supported for Python 3.11 or earlier pip install precise -## Example - - from precise.covariance.util import create_correlated_dataset - from precise.covariance.onlineempirical import online_empirical_cov - import numpy as np - from pprint import pprint - - data = create_correlated_dataset(10000, (2.2, 4.4, 1.5), - np.array([[0.2, 0.5, 0.7], [0.3, 0.2, 0.2], [0.5, 0.3, 0.1]]), (1, 5, 3)) - s = online_empirical_cov(n_dim=data.shape[1]) - for observation in data: - s = online_empirical_cov(s=s, y=observation) - pprint(s) - - This will return the running state, which includes the mean and cov - - {'count': 10000, - 'cov': array([[0.38549265, 1.55198303, 0.73809891], - [1.55198303, 9.41813338, 6.20756741], - [0.73809891, 6.20756741, 4.79042088]]), - 'identity': array([[1., 0., 0.], - [0., 1., 0.], - [0., 0., 1.]]), - 'mean': array([2.19919374, 4.42189785, 1.52406171]), - 'n_dim': 3, - 'ones': array([1., 1., 1.]), - 'shape': (3, 3)} - - To covert to corrcoef, +or for latest: + + pip install git+https://github.com/microprediction/precise.git - from precision.covariance.util import cov_to_corrcoef - pprint( cov_to_corrcoef(s['cov']) ) - - returns: - - array([[1. , 0.81749783, 0.55345955], - [0.81749783, 1. , 0.92689045], - [0.55345955, 0.92689045, 1. ]]) +Trouble? It probably isn't with precise per se. + + pip install --upgrade pip + pip install --upgrade setuptools + pip install --upgrade wheel + pip install --upgrade ecos # <--- Try conda install ecos if this fails + pip install --upgrade osqp # <-- Can be tricky on some systems see https://github.com/cvxpy/cvxpy/issues/1190#issuecomment-994613793 + pip install --upgrade pyportfolioopt # <--- Skip if you don't plan to use it + pip install --upgrade riskparityportfolio + pip install --upgrade scipy + pip install --upgrade precise + + +# Miscellaneous + + - Here is some related, and potentially related, [literature](https://github.com/microprediction/precise/blob/main/LITERATURE.md). + - This is a piece of the microprediction project aimed at creating millions of autonomous critters to distribute AI at low cost, should you ever care to [cite](https://github.com/microprediction/microprediction/blob/master/CITE.md) the same. The uses include mixtures of experts models for time-series analysis, buried in [timemachines](https://github.com/microprediction/timemachines/tree/main/timemachines/skatertools) somewhere. + - If you just want univariate calculations, and don't want numpy as a dependency, there is [momentum](https://github.com/microprediction/momentum). However if you want univariate forecasts of the variance of something, as distinct from mere online calculations of the same, you might be better served by the timemachines package. In particular I would suggest checking the [time-series elo ratings](https://microprediction.github.io/timeseries-elo-ratings/html_leaderboards/special-k_001.html) and the "special" category in particular, as various kinds of empirical moment time-series (volatility etc) are used to determine those ratings. + - The name of this package refers to precision matrices, not numerical precision. This isn't a source of high precision covariance *calculations* per se. The intent is more in forecasting future realized covariance, conscious of the noise in the empirical distribution. Perhaps I'll include some more numerically stable methods from [this survey](https://dbs.ifi.uni-heidelberg.de/files/Team/eschubert/publications/SSDBM18-covariance-authorcopy.pdf) to make the name more fitting. Pull requests are welcome! + - The intent is that methods are parameter free. However some not-quite autonomous methods admit a few parameters (the factories). + +# Disclaimer +Not investment advice. Not M6 entry advice. Just a bunch of code subject to the MIT License disclaimers. -### See also -If you only need univariate, there is a really minimalise package [momentum](https://github.com/microprediction/momentum) which avoids use of numpy. diff --git a/academic/Schur_Complementary_Portfolios_CQF_Slides.pdf b/academic/Schur_Complementary_Portfolios_CQF_Slides.pdf new file mode 100644 index 00000000..f3f134c5 Binary files /dev/null and b/academic/Schur_Complementary_Portfolios_CQF_Slides.pdf differ diff --git a/academic/Schur_Complementary_Portfolios_CQF_Slides_Updated.pdf b/academic/Schur_Complementary_Portfolios_CQF_Slides_Updated.pdf new file mode 100644 index 00000000..374c5b60 Binary files /dev/null and b/academic/Schur_Complementary_Portfolios_CQF_Slides_Updated.pdf differ diff --git a/academic/Schur_Complementary_Portfolios_Peter_Cotton.pdf b/academic/Schur_Complementary_Portfolios_Peter_Cotton.pdf new file mode 100644 index 00000000..374c5b60 Binary files /dev/null and b/academic/Schur_Complementary_Portfolios_Peter_Cotton.pdf differ diff --git a/examples/__init__.py b/academic/__init__.py similarity index 100% rename from examples/__init__.py rename to academic/__init__.py diff --git a/academic/examples_exploratory_weak/README.md b/academic/examples_exploratory_weak/README.md new file mode 100644 index 00000000..fedc8d53 --- /dev/null +++ b/academic/examples_exploratory_weak/README.md @@ -0,0 +1 @@ +Miscellaneous experiments diff --git a/plotting/__init__.py b/academic/examples_exploratory_weak/__init__.py similarity index 100% rename from plotting/__init__.py rename to academic/examples_exploratory_weak/__init__.py diff --git a/academic/examples_exploratory_weak/champion_challenger.py b/academic/examples_exploratory_weak/champion_challenger.py new file mode 100644 index 00000000..d3e1ffd2 --- /dev/null +++ b/academic/examples_exploratory_weak/champion_challenger.py @@ -0,0 +1,122 @@ +# from precise.skaters.covariancecomparisonutil.ewaemp import ewa_emp_pcov_d0_r01 as f +# from precise.skaters.covariancecomparisonutil.ewapm import ewa_pm_emp_scov_r01_n100 as f +#from precise.skaters.covariancecomparisonutil.ewalw import ewa_lw_scov_d0_r01 as f +from precise.skaters.covariance.ewaemp import ewa_emp_pcov_d0_r01 as f +from precise.skaters.portfoliostatic.unitport import unit_port +from precise.skaters.portfoliostatic.unitport import unit_port as champion_port +from precise.skaters.portfoliostatic.weakport import weak_long_port as challenger_port +from precise.skatertools.data.equityhistorical import random_cached_equity_dense +import numpy as np +from pprint import pprint +from precise.skaters.portfolioutil.portfunctions import negative_mass +from precise.skaters.covarianceutil.covdecomposition import random_portfolio_features + +# A study to try to determine when and why one portfolio has better out of sample performance than another +import random +from precise.skaters.covarianceutil.covdecomposition import RANDOM_PORTFOLIO_FEATURE_NAMES + + +if __name__=='__main__': + Ys = list() # <-- realized portfolio variance + Xs = list() # <-- regressors + include_neg_mass = False + if include_neg_mass: + Xnames = ['rel_norm', 'negative mass challenger', 'negative mass champion', + 'negative mass unit'] + RANDOM_PORTFOLIO_FEATURE_NAMES + else: + Xnames = ['rel_norm'] + RANDOM_PORTFOLIO_FEATURE_NAMES + Xn = [0 for n in Xnames] + + for iter in range(500): + n_dim = random.choice([10, 25,40, 60,100,150, 200, 250]) + print('Iteration '+str(iter)) + ys = random_cached_equity_dense(n_obs=n_dim*2, n_dim=n_dim, k=1) + s = {} + + w = np.ones(len(ys[0]))/len(ys[0]) + w_champion = np.copy(w) # Keep lint happy + w_challenger = np.copy(w) + w_unit = np.copy(w) + + for ndx, y in enumerate(ys): + if ndx>n_dim/2: + champY = np.dot(w_champion, y) ** 2 # Realized portfolio variance + challengeY = np.dot(w_challenger, y) ** 2 # Realized portfolio variance + Yn = 1.0 if challengeY','') for pt in LONG_PORT] + rankings = sorted(list(zip(z_centered[1:],LONG_PORT_NAMES))) + from pprint import pprint + pprint(rankings) + + if i % 5 == 1: + print(' ') + print('Contributions: ') + print( ','.join([str(c) for c in contrib_mean]) ) + print((i,len(X))) + + x_mean, x_cov, s_cov = f(y=y, s=s_cov, k=1) + w, s_mgr = mgr(s=s_mgr, y=y) + + + + + diff --git a/precise/covariance/__init__.py b/academic/examples_schur_paper/__init__.py similarity index 100% rename from precise/covariance/__init__.py rename to academic/examples_schur_paper/__init__.py diff --git a/academic/examples_schur_paper/a_template_for_indifference.py b/academic/examples_schur_paper/a_template_for_indifference.py new file mode 100644 index 00000000..c0fccb9e --- /dev/null +++ b/academic/examples_schur_paper/a_template_for_indifference.py @@ -0,0 +1,33 @@ +from precise.skatervaluation.schurcomparisonutil.schurportpaperutils import gamma_comparison_and_plot, G_PORTS +from precise.skaters.covarianceutil.covrandom import rnd_symm_cov +from precise.skatervaluation.schurcomparisonutil.schurportpaperutils import g000, g100, g010 +# Here we try to create an example where HRP and the weak portfolio are roughly commensurate +# The idea is to then see if moving from HRP towards optimization helps + +RHO = 0.35 # Approx pairwise correlation +SEVERITY = 0.05 # Imbalance parameter for volatilities +N_DIM = 20 # Number of assets +N_SPLIT = 15 # Dimension to terminate splitting at +N_ANCHOR = 120 # Number of samples to create true matrix +N_TRUE = None # Leave as None +N_OBSERVED = 19 # Number of observations seen when estimating Sigma +rnd_cov_kwargs = {'rho':RHO,'severity':SEVERITY,'n_dim':N_DIM} +MAX_TIME = 8*60*60 # Seconds to spend on each of three experiments + + +if __name__=='__main__': + xlabel = r'$p= ' + str(N_DIM) + r'$ $\rho=' + str(RHO) + '$ $ a=' + str(N_ANCHOR) + '$ $ o=' + str(N_OBSERVED) + '$ ' + g_last_and_first = [ g000, g100 ] + gamma_comparison_and_plot(rnd_cov=rnd_symm_cov, + rnd_cov_kwargs=rnd_cov_kwargs, + n_observed=N_OBSERVED, + n_anchor=N_ANCHOR, + n_split=N_SPLIT, + max_time=MAX_TIME, + n_true=None, + xlabel=xlabel, + g_ports=g_last_and_first) + + + + diff --git a/academic/examples_schur_paper/a_template_for_varying_gamma.py b/academic/examples_schur_paper/a_template_for_varying_gamma.py new file mode 100644 index 00000000..a1d48fa2 --- /dev/null +++ b/academic/examples_schur_paper/a_template_for_varying_gamma.py @@ -0,0 +1,29 @@ +from precise.skatervaluation.schurcomparisonutil.schurportpaperutils import gamma_comparison_and_plot +from precise.skaters.covarianceutil.covrandom import rnd_symm_cov + +# Runs three experiments where gamma is varied and portfolio variance computed + +RHO = 0.35 # Approx pairwise correlation +SEVERITY = 0.05 # Imbalance parameter for volatilities +N_DIM = 500 # Number of assets +N_SPLIT = 5 # Dimension to terminate splitting at +N_ANCHOR = 50 # Number of samples to create true matrix +N_TRUE = None # Leave as None +N_OBSERVED = 60 # Number of observations seen when estimating Sigma +rnd_cov_kwargs = {'rho':RHO,'severity':SEVERITY,'n_dim':N_DIM} +MAX_TIME = 1*60 # Seconds to spend on each of three experiments + +if __name__=='__main__': + xlabel = r'$p= ' + str(N_DIM) + r'$ $\rho=' + str(RHO) + '$ $ a=' + str(N_ANCHOR) + '$ $ o=' + str(N_OBSERVED) + '$ ' + gamma_comparison_and_plot(rnd_cov=rnd_symm_cov, + rnd_cov_kwargs=rnd_cov_kwargs, + n_observed=N_OBSERVED, + n_anchor=N_ANCHOR, + n_split=N_SPLIT, + max_time=MAX_TIME, + n_true=None, + xlabel=xlabel) + + + + diff --git a/academic/examples_schur_paper/schur.png b/academic/examples_schur_paper/schur.png new file mode 100644 index 00000000..e391a50d Binary files /dev/null and b/academic/examples_schur_paper/schur.png differ diff --git a/create_more_elo_data_thanks.py b/create_more_elo_data_thanks.py new file mode 100644 index 00000000..d7c15c2f --- /dev/null +++ b/create_more_elo_data_thanks.py @@ -0,0 +1,18 @@ +from runthis import parse_kwargs +from precise.skatervaluation.battleutil.arrangingbattles import manager_var_battle, manager_info_battle +import os + + +# Hey thanks for running this, it will generate more Elo rating data +# The results will be put in a new file in precise/battleresults/manager_var/ +# You can PR the new file if you are so kind. + +SCRIPT = 'stocks?topic=stocks&n_dim=int:100&n_obs=int:125&n_burn=int:100&k=int:20.py' +SCRIPT = 'stocks?topic=stocks&n_dim=int:500&n_obs=int:200&n_burn=int:90&k=int:1.py' + + +if __name__=='__main__': + params = parse_kwargs(SCRIPT.split(os.path.sep)[-1]) + manager_info_battle(params=params) + + diff --git a/docs/README.md b/docs/README.md new file mode 100644 index 00000000..2f89025f --- /dev/null +++ b/docs/README.md @@ -0,0 +1,24 @@ +# Precise Package Documentation + +Instructions for: + - Online [covariance](https://microprediction.github.io/precise/covariance.html) forcasting. + - The use of [managers](https://microprediction.github.io/precise/managers.html) for online portfolio construction. + - The computation of [portfolios](https://microprediction.github.io/precise/portfolios.html) from known covariance. + +More specific examples: + - [Creating an M6 entry](https://microprediction.github.io/precise/m6.html) + +### Of note + +- We've had some [m6 success](https://microprediction.github.io/precise/m6_success.html)! +- Related [literature](https://github.com/microprediction/precise/blob/main/LITERATURE.md). +- This is a piece of the microprediction project aimed at creating millions of autonomous critters to distribute AI cheaply, as per the [book](https://github.com/microprediction/building_an_open_ai_network). The uses include mixtures of experts models for time-series analysis, buried in [timemachines](https://github.com/microprediction/timemachines/tree/main/timemachines/skatertools) somewhere. +- It would be lovely if you [cite](https://github.com/microprediction/microprediction/blob/master/CITE.md). + + + + + +View as [source](https://github.com/microprediction/precise/blob/master/docs/README.md) or [web](https://microprediction.github.io/precise/) + +![schur](/precise/assets/images/schur_reaction.png) diff --git a/docs/_config.yml b/docs/_config.yml new file mode 100644 index 00000000..c4192631 --- /dev/null +++ b/docs/_config.yml @@ -0,0 +1 @@ +theme: jekyll-theme-cayman \ No newline at end of file diff --git a/docs/assets/images/README.md b/docs/assets/images/README.md new file mode 100644 index 00000000..4f5601b6 --- /dev/null +++ b/docs/assets/images/README.md @@ -0,0 +1 @@ +Mostly M6 honor roll diff --git a/docs/assets/images/cant_spell.png b/docs/assets/images/cant_spell.png new file mode 100644 index 00000000..48ea1af0 Binary files /dev/null and b/docs/assets/images/cant_spell.png differ diff --git a/docs/assets/images/first_quarter.png b/docs/assets/images/first_quarter.png new file mode 100644 index 00000000..83a06ad1 Binary files /dev/null and b/docs/assets/images/first_quarter.png differ diff --git a/docs/assets/images/marco_2nd.png b/docs/assets/images/marco_2nd.png new file mode 100644 index 00000000..7d1fb65b Binary files /dev/null and b/docs/assets/images/marco_2nd.png differ diff --git a/docs/assets/images/schur_reaction.png b/docs/assets/images/schur_reaction.png new file mode 100644 index 00000000..b4ea73f1 Binary files /dev/null and b/docs/assets/images/schur_reaction.png differ diff --git a/docs/covariance.md b/docs/covariance.md new file mode 100644 index 00000000..82a4253c --- /dev/null +++ b/docs/covariance.md @@ -0,0 +1,72 @@ + +# Using the online covariance estimators + +1. Choose a covariance "skater" from the [listing of cov skaters](https://github.com/microprediction/precise/blob/main/LISTING_OF_COV_SKATERS.md) +2. Import it +3. Pass it one data vector or list at a time + +### Example usage + + from precise.skaters.covariance.ewapm import ewa_pm_emp_scov_r005_n100 as f + s = {} + for y in ys: + x, x_cov, s = f(s=s, y=y) + + +### Interpreting covariance skater names +Examples: + +| Skater name | Location | Meaning | +|------------------------|------------|--------------------| +| buf_huber_pcov_d1_a1_b2_n50 | [skaters/covariance/bufhuber](https://github.com/microprediction/precise/blob/main/precise/skaters/covariance/bufhuber.py) | Applies an approach that exploits Huber pseudo-means to a buffer of data of length 50 in need of differencing once, with generalized Huber loss parameters a=1, b=2. | +| buf_sk_ld_pcov_d0_n100 | [skaters/covariance/bufsk](https://github.com/microprediction/precise/blob/main/precise/skaters/covariance/bufsk.py) | Applies sk-learn's implementation of Ledoit-Wolf to stationary buffered data of length 100 | +| ewa_pm_emp_scov_r01 | [skaters/covariance/ewapartial](https://github.com/microprediction/precise/blob/main/precise/skaters/covariance/ewapartial.py) | Performs an incremental, recency-weighted sample covariance estimate that exploits partial moments. Uses a memory parameter r=0.01 | + +Broad calculation style categories + +| Shorthand | Interpretation | Incremental ? | +|-----------|---------------------------------------------------------------------------------|---------------| +| buf | Performs classical batch calculation on a fixed window of data each time | No | +| win | Performs incremental fixed window calculation. | Yes | +| run | Running calculation weighing all observations equally | Yes | +| ewa | Running calculation weighing recent observations more | Yes | + +Methodology hints (can be combined) + +| Shorthand | Inspiration | +|-----------|----------------------------------------| +| emp | "Empirical" (not shrunk or augmented) | +| lz | Le-Zhong variable-by-variable updating | +| lw | Ledoit-Wolf | +| pm | Partial moments | +| huber | Generalized Huber pseudo-mean | +| oas | Oracle approximating shrinkage. | +| gl | Graphical Lasso | +| mcd | Minimum covariance determinant | +| weak | Novel shrinkage method by yours truly | + +Intended main target (more than one may be produced in the state) + +| Shorthand | Intent | +|-----------|-----------------------------------| +| scov | Sample covariance | +| pcov | Population covariance | +| spre | Inverse of sample covariance | +| ppre | Inverse of population covariance | + +Differencing hints: + +| Shorthand | Intent | +|-----------|---------------------------------------------------------| +| d0 | For use on stationary, ideally IID data | +| d1 | For use on data that is iid after taking one difference | + + + + +View as [source](https://github.com/microprediction/precise/blob/master/docs/covariance.md) or [web](https://microprediction.github.io/precise/covariance) + + +-+- + +Documentation [home](https://microprediction.github.io/precise) diff --git a/docs/elo.md b/docs/elo.md new file mode 100644 index 00000000..1ecc4e90 --- /dev/null +++ b/docs/elo.md @@ -0,0 +1,30 @@ +# Elo ratings +You have to run these notebooks. + +- [elo ratings for covariance](https://github.com/microprediction/precise/blob/main/examples_colab_notebooks/elo_ratings_and_code_urls.ipynb), or +- [elo ratings for managers](https://github.com/microprediction/precise/blob/main/examples_basic_usage/compile_elo_ratings_for_managers.py) + +as there is currently no automated production of Elo tables. + +### Remarks + +I use Elo ratings, despite the shortcomings, because comparisions are extremely time intensive. Match results are recorded in hashed files for easy parallelization and avoidance of git merging. You can run the battle scripts if you like. See [these examples](https://github.com/microprediction/precise/tree/main/precise/skatervaluation/battlescripts/manager_var) for instance. To make a different battle you modify the name of the script and nothing else. Pull requests for match results are welcome, see below. + +### Helping with Elo ratings +Sorry this isn't too streamlined, but if you'd like to perform some Elo calculations and share the results it is appreciated! + + mkdir charity + cd charity + python3 -m venv charity + source charity/bin/activate + git clone https://github.com/microprediction/precise.git + cd precise + pip install -e . + python3 create_more_elo_ratings_thanks.py + + +-+- + +Documentation [home](https://microprediction.github.io/precise) + +View as [source](https://github.com/microprediction/precise/blob/master/docs/elo.md) or [web](https://microprediction.github.io/precise/elo) diff --git a/docs/m6.md b/docs/m6.md new file mode 100644 index 00000000..9957bf14 --- /dev/null +++ b/docs/m6.md @@ -0,0 +1,7 @@ +# Creating an M6 Contest entry + +The script [example_m6_entry](https://github.com/microprediction/precise/blob/main/examples_portfolios/m6/example_m6_entry.py) demonstrates usage. + +-+- + +Documentation [home](https://microprediction.github.io/precise) diff --git a/docs/m6_success.md b/docs/m6_success.md new file mode 100644 index 00000000..53efabdd --- /dev/null +++ b/docs/m6_success.md @@ -0,0 +1,105 @@ + +# Performance of precise package users in the M6 financial forecasting contest + +Update: See [post](https://www.linkedin.com/posts/petercotton_the-options-market-beat-94-of-participants-activity-7020917422085795840-Pox0?utm_source=share&utm_medium=member_desktop) for a discussion and medium article. + +### Who used it? + +So far as I know there were only two teams out of 168 who have publically declared that they are using the precise package for the [M6 Financial Forecasting Competition](https://m6competition.com/). If that's not true, pull requests for this page are welcomed! + + +| Handle | Team details | +|-----------------------------------------|-------------------------------------------------------------| +| MarcoGorelli | [Marco Gorelli](https://www.linkedin.com/in/marcogorelli/) | +| microprediction | [Peter Cotton](https://www.linkedin.com/in/petercotton/) | + + +The probabilistic forecasting side starts to get into large n territory. Here are my percentiles thus far which hopefully speak for themselves. + + +| Stage | Percentile | +|-----------|------------| +| Pilot | 85 | +| Q1 | 78 | +| Q2 | 77 | +| Q3 | 86 | +| Q4 | 89 | +| Overall | 92 | + +Marco is pretty close, and he won cash too! See below. + + +### Pilot results +Marco didn't use precise in the pilot. + +| Handle | Overall (out of 59 teams) | Forecasts | Decisions | +|-----------------------------------------|-------------------------------------------------------------|--------------|------------| +| microprediction | 9th | 9th | 31st | + + +### First quarter results + +Congrats to [Marco Gorelli](https://www.linkedin.com/in/marcogorelli/) for finishing 2nd in the overall ranking for the first quarter and taking home the money! + +| Handle | Overall (out of 162 teams) | Forecasts | Decisions | +|-----------------------------------------|-------------------------------------------------------------|--------------|------------| +| MarcoGorelli | 2nd | 13th | 14th | +| microprediction | 15th | 20th | 60th | + + +### Second quarter results + + +| Handle | Overall (out of 199 teams) | Forecasts | Decisions | +|-----------------------------------------|-------------------------------------------------------------|--------------|------------| +| MarcoGorelli | 41st | 48th | 71st | +| microprediction | 91st | 46th | 128th | + + + +### Third quarter results + + +| Handle | Overall (out of 230 teams) | Forecasts | Decisions | +|-----------------------------------------|-------------------------------------------------------------|--------------|------------| +| MarcoGorelli | 92nd | 80th | 116th | +| microprediction | 52st | 28th | 131th | + + +### Forth quarter results +Marco switched to holding a riskless asset. + + +| Handle | Overall (out of 230 teams) | Forecasts | Decisions | +|-----------------------------------------|-------------------------------------------------------------|--------------|------------| +| microprediction | 10th | 27th | 31st | + + + +### Global + + +| Handle | Overall (out of 148 teams) | Forecasts | Decisions | +|-----------------------------------------|-------------------------------------------------------------|--------------|------------| +| MarcoGorelli | 10th | 16th | 46th | +| microprediction | 8th | 14th | 34th | + + + + + +-+- + +Documentation [home](https://microprediction.github.io/precise) + + +View as [source](https://github.com/microprediction/precise/blob/master/docs/m6_success.md) or [web](https://microprediction.github.io/precise/m6_success) + + +![marco_2nd](/precise/assets/images/first_quarter.png) + + + + + + diff --git a/docs/managercomparison.md b/docs/managercomparison.md new file mode 100644 index 00000000..84a87c0c --- /dev/null +++ b/docs/managercomparison.md @@ -0,0 +1,23 @@ +# Comparing managers + + + +### Empirical comparison +Using [manager_stats_leaderboard](https://github.com/microprediction/precise/blob/main/precise/skatervaluation/managercomparisonutil/managerstats.py): + + xs = # ... one column per variable + mrgs = # ... list of managers + j = 1 # How often to rebalance + q = 1.0 # How far to move towards target when rebalancing + lb = manager_stats_leaderboard(mgrs=mrgs, xs=xs, verbose=True, field='info', j=j, q=q) + + +See [metals_schur_manager_comparison](https://github.com/microprediction/precise/blob/main/examples_managers/metals/metals_schur_manager_comparison.py) + + +-+- + +Documentation [home](https://microprediction.github.io/precise) + + +View as [source](https://github.com/microprediction/precise/blob/master/docs/managercomparison.md) or [web](https://microprediction.github.io/precise/managercomparison) diff --git a/docs/managers.md b/docs/managers.md new file mode 100644 index 00000000..15fe5a32 --- /dev/null +++ b/docs/managers.md @@ -0,0 +1,24 @@ +# Using the online managers estimators + +1. Choose a covariance "skater" from the [listing of managers](https://github.com/microprediction/precise/blob/main/LISTING_OF_MANAGERS.md) +2. Import it +3. Pass it one data vector, or list at a time + +### Example usage +Here y is a vector: + + from precise.skaters.managers.schurmanagers import schur_weak_pm_t0_d0_r025_n50_g100_long_manager as mgr + s = {} + for y in ys: + w, s = mgr(s=s, y=y) + +### See also + + - [Manager comparison](https://microprediction.github.io/precise/managercomparison) + +-+- + +Documentation [home](https://microprediction.github.io/precise) + + +View as [source](https://github.com/microprediction/precise/blob/master/docs/managers.md) or [web](https://microprediction.github.io/precise/managers) diff --git a/docs/map.md b/docs/map.md new file mode 100644 index 00000000..ced5c1a0 --- /dev/null +++ b/docs/map.md @@ -0,0 +1,23 @@ +# Precise Package Documentation Map + + +- [home](https://microprediction.github.io/precise) + +Covariance + - [covariance](https://microprediction.github.io/precise/covariance.html) forcasting basic usage + +Managers + - [managers](https://microprediction.github.io/precise/managers.html) basic usage + - [managercomparison](https://microprediction.github.io/precise/managers.html) basic usage + +Portfolios + - [portfolios](https://microprediction.github.io/precise/portfolios.html) basic usage +[m6](https://microprediction.github.io/precise/m6.html) + - [m6 success](https://microprediction.github.io/precise/m6_success.html)! + +Other + - [literature](https://github.com/microprediction/precise/blob/main/LITERATURE.md). + +View as [source](https://github.com/microprediction/precise/blob/master/docs/map.md) or [web](https://microprediction.github.io/precise/map) + +![schur](/precise/assets/images/schur_reaction.png) diff --git a/docs/portfolios.md b/docs/portfolios.md new file mode 100644 index 00000000..af630c67 --- /dev/null +++ b/docs/portfolios.md @@ -0,0 +1,66 @@ +# Using the portfolio functions + +1. Choose a "port" by browsing [portfoliostatic](https://github.com/microprediction/precise/tree/main/precise/skaters/portfoliostatic). +2. Import it +3. Pass it either a covariance or a precision matrix + +### Example usage +We need a cov matrix + + import numpy as np + cov = np.array([[ 1.09948514, -1.02926114, 0.22402055, 0.10727343], + [-1.02926114, 2.54302628, 1.05338531, -0.12481515], + [ 0.22402055, 1.05338531, 1.79162765, -0.78962956], + [ 0.10727343, -0.12481515, -0.78962956, 0.86316527]]) + +Then: + + from precise.skaters.portfoliostatic.unitport import unit_port + w = unit_port(cov=cov) + + +### Model ensembles, stacking, mixtures of experts et cetera +Same thing, sort of. See this [notebook example](https://github.com/microprediction/precise/blob/main/examples_colab_notebooks/lazypredict_model_portfolio.ipynb) or [these examples](https://github.com/microprediction/precise/tree/main/examples_portfolios/ensembles). + + +### Interpreting portfolio names + + +| PyPortfolioOpt | Intent | +|-----------|------------------------------------------------------------------| +| ppo | Uses the PyPortfolioOpt package | +| ppo_vol | ... and minimum volatility therein | +| ppo_quad | ... and maximum quadratic utility therein | +| ppo_sharpe| ... and maximum Sharpe ratio therein | + +| Riskfolio-Lib | Intent | +|-----------|------------------------------------------------------------------| +| rpl | Uses the RiskFolio-Lib package | +| rpl_hrp | ... and Hierarchical Risk Parity therein | +| rlp_hrp_cdar | ... and Conditional Drawdown at Risk of uncompounded cumulative returns | +| rlp_hrp_flpm | ... and First Lower Partial Moment therein | +| | ... et cetera (see [the rest](https://github.com/microprediction/precise/blob/main/precise/skaters/managers/rplmanagers.py)) | + +| Homespun | Intent | +|-----------|------------------------------------------------------------------| +| diag | Use only diagonal entries of cov | +| weak | Method that "weakens" some cov entries to make portfolio long only | +| hrp | Varieties of hierarchical allocation | +| hrp_diag_diag | ... and uses "diag" allocation/portfolio, like Lopez de Prado's 2016 paper | +| hrp_weak_weak | ... and uses "weak" allocation and also "weak" portfolio construction. | +| schur | Homespun method that exploits Schur complements | +| schur_weak_diag | ... and uses weak allocation and diag portfolio at the leaves | + +At present "weak" and "schur" are the only methods you may have trouble finding implemented elsewhere. The latter is my attempt to unify seemingly disparate approaches: namely those using a global optimization versus those using divide and conquer. + +### Other places to rummage +... for functionality. + +- [covarianceutil](https://github.com/microprediction/precise/tree/main/precise/skaters/covarianceutil) +- [locationutil](https://github.com/microprediction/precise/tree/main/precise/skaters/locationutil) +- [portfoliostatic](https://github.com/microprediction/precise/tree/main/precise/skaters/portfoliostatic) or [portfolioutil](https://github.com/microprediction/precise/tree/main/precise/skaters/portfolioutil) + + +-+- + +Documentation [home](https://microprediction.github.io/precise) diff --git a/docs/seriation.md b/docs/seriation.md new file mode 100644 index 00000000..a80c944d --- /dev/null +++ b/docs/seriation.md @@ -0,0 +1,17 @@ +# Seriation +Reordering assets. If *xs* contains one column per variable: + + from precise.skaters.covarianceutil.covfunctions import seriation + import numpy as np + cov = np.cov(xs, rowvar=False) + ndx = seriation(cov=cov) + + +See [example](https://github.com/microprediction/precise/blob/main/examples_portfolios/seriation/metals_seriation.py) + +-+- + +Documentation [home](https://microprediction.github.io/precise) + + +View as [source](https://github.com/microprediction/precise/blob/master/docs/seriation.md) or [web](https://microprediction.github.io/precise/seriation) diff --git a/examples/basic_online_empirical_corrcoef.py b/examples/basic_online_empirical_corrcoef.py deleted file mode 100644 index 3808b162..00000000 --- a/examples/basic_online_empirical_corrcoef.py +++ /dev/null @@ -1,16 +0,0 @@ - -from precise.covariance.util import create_correlated_dataset -from precise.covariance.onlineempirical import online_empirical_cov -import numpy as np -from pprint import pprint -from precise.covariance.util import cov_to_corrcoef - -if __name__=='__main__': - data = create_correlated_dataset(10000, (2.2, 4.4, 1.5), - np.array([[0.2, 0.5, 0.7], [0.3, 0.2, 0.2], [0.5, 0.3, 0.1]]), (1, 5, 3)) - ocov = online_empirical_cov(n_dim=data.shape[1]) - for observation in data: - ocov = online_empirical_cov(s=ocov, y=observation) - - ocorr = cov_to_corrcoef(ocov['cov']) - pprint(ocorr) diff --git a/examples/basic_online_empirical_cov.py b/examples/basic_online_empirical_cov.py deleted file mode 100644 index 92933471..00000000 --- a/examples/basic_online_empirical_cov.py +++ /dev/null @@ -1,13 +0,0 @@ - -from precise.covariance.util import create_correlated_dataset -from precise.covariance.onlineempirical import online_empirical_cov -import numpy as np -from pprint import pprint - -if __name__=='__main__': - data = create_correlated_dataset(10000, (2.2, 4.4, 1.5), - np.array([[0.2, 0.5, 0.7], [0.3, 0.2, 0.2], [0.5, 0.3, 0.1]]), (1, 5, 3)) - ocov = online_empirical_cov(n_dim=data.shape[1]) - for observation in data: - ocov = online_empirical_cov(s=ocov, y=observation) - pprint(ocov) diff --git a/examples/portfolios/proportional_parity.ipynb b/examples/portfolios/proportional_parity.ipynb new file mode 100644 index 00000000..42dab535 --- /dev/null +++ b/examples/portfolios/proportional_parity.ipynb @@ -0,0 +1,296 @@ +{ + "nbformat": 4, + "nbformat_minor": 0, + "metadata": { + "colab": { + "provenance": [], + "authorship_tag": "ABX9TyP14fZGNc504WrSxLh0yxKx", + "include_colab_link": true + }, + "kernelspec": { + "name": "python3", + "display_name": "Python 3" + }, + "language_info": { + "name": "python" + } + }, + "cells": [ + { + "cell_type": "markdown", + "metadata": { + "id": "view-in-github", + "colab_type": "text" + }, + "source": [ + "\"Open" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "it9pftpIvYGd" + }, + "outputs": [], + "source": [ + "!pip install riskparityportfolio\n", + "!pip install precise\n", + "!pip install humpday" + ] + }, + { + "cell_type": "code", + "source": [ + "from precise.skaters.covarianceutil.covrandom import rnd_symm_cov\n", + "import riskparityportfolio as rp\n", + "import numpy as np \n", + "from typing import List \n", + "\n", + "def normalize(x):\n", + " return np.array(x)/np.sum(x)\n", + "\n", + "def dim_from_partition(partition):\n", + " return max( [max(ndxs) for ndxs in partition])+1\n", + "\n", + "def partition_matrix(partition:List[List[int]]):\n", + " \"\"\" \n", + " Just for adding up the allocations\n", + " \"\"\"\n", + " n_groups = len(partition)\n", + " n_dim = dim_from_partition(partition)\n", + " shape = (n_groups, n_dim)\n", + " A = np.zeros(shape=shape)\n", + " for group_i, ndxs in enumerate(partition):\n", + " n_group = len(ndxs)\n", + " for asset_j in ndxs:\n", + " A[group_i, asset_j] = 1.0\n", + " return A \n", + "\n", + "def group_normalized_budget(partition):\n", + " \"\"\" b is normalized within groups \"\"\"\n", + " n_dim = dim_from_partition(partition)\n", + " b = np.zeros(n_dim)\n", + " for ndxs in partition:\n", + " n_group = len(ndxs)\n", + " for ndx in ndxs:\n", + " b[ndx] = 1/n_group \n", + " return b \n", + "\n", + "def group_allocation_error(w, A, a):\n", + " \"\"\" Penalize deviation from desired group allocation\n", + " w is n_assets x 1 \n", + " A is n_groups x n_assets \n", + " a is length n_groups \n", + "\n", + " \"\"\"\n", + " desired_alloc = normalize(a)\n", + " w_col = np.array(w).reshape((-1,1))\n", + " actual_alloc = np.squeeze(normalize(np.matmul(A,w_col)))\n", + " sq_err = np.linalg.norm(actual_alloc-desired_alloc)\n", + " return sq_err, actual_alloc\n", + " \n", + "def tilted_budget(u, partition):\n", + " \"\"\" \n", + " Tilt the budgets, but they should still add to unity \n", + " \"\"\"\n", + " assert len(u)==len(partition)\n", + " b = group_normalized_budget(partition=partition)\n", + " bu = np.copy(b) \n", + " assert len(u)==len(partition)\n", + " for i, ndxs in enumerate(partition):\n", + " for ndx in ndxs:\n", + " bu[ndx] = u[i]*b[ndx]\n", + " return bu \n", + " \n", + "\n", + "def tilt(u, cov, a, partition):\n", + " \"\"\"\n", + " u - scales the budgets\n", + "\n", + " \"\"\" \n", + " b_tilt = tilted_budget(u=u, partition=partition)\n", + " A = partition_matrix(partition)\n", + " w = rp.vanilla.design(cov, b=b_tilt)\n", + " sq_err, allocation = group_allocation_error(w=w,A=A,a=a)\n", + " return sq_err, w, allocation\n" + ], + "metadata": { + "id": "JlouQh7yxJr4" + }, + "execution_count": 5, + "outputs": [] + }, + { + "cell_type": "markdown", + "source": [ + "### Example of a feasible allocation\n", + "Uses six groups" + ], + "metadata": { + "id": "uaMpe8faYGY5" + } + }, + { + "cell_type": "code", + "source": [ + "PARTITION = [list(range(1300)),list(range(1300,2350)),list(range(2350,3500))]*2\n", + "n_dim = dim_from_partition(PARTITION)\n", + "COV = rnd_symm_cov(rho=0.3, severity=0.1, n_dim=n_dim)\n", + "known_feasible_alloc = np.array([0.11439489, 0.15308126, 0.23252385]*2)\n", + "desired_alloc = np.array([0.15439489, 0.11308126, 0.23252385]*2)\n", + "\n", + "def _tilt(u):\n", + " return tilt(u=u, cov=COV, a=desired_alloc, partition=PARTITION)[0]\n", + "\n", + "def _allocation(u):\n", + " A = partition_matrix(partition=PARTITION)\n", + " sq_error, w, allocation = tilt(u=u, cov=COV, a=desired_alloc, partition=PARTITION)\n", + " return allocation \n", + " \n", + "\n", + "import numpy as np\n", + "from scipy.optimize import minimize\n", + "\n", + "def constraint(x):\n", + " return np.sum(x) - 1\n", + "n_groups = len(PARTITION)\n", + "bounds = [(0, 1) for i in range(n_groups)]\n", + "con = {'type': 'eq', 'fun': constraint}\n", + "options = {'maxiter': 1000, 'ftol': 1e-9}\n", + "x0 = np.array([1/n_groups for _ in range(n_groups)])\n", + "result = minimize(_tilt, x0, method='SLSQP', constraints=con, bounds=bounds, options=options)\n", + "u = result.x\n", + "from pprint import pprint\n", + "pprint({'budget factors ':u,'desired alloc. ':np.array(desired_alloc),'actual allocation':_allocation(u),'allocation diff. ':_allocation(u)-desired_alloc})\n" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "2RpY3_tX8vBp", + "outputId": "78153fd3-6a3e-49eb-b756-575fc7b3d7f8" + }, + "execution_count": 9, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "{'actual allocation': array([0.15439467, 0.11308143, 0.2325239 , 0.15439467, 0.11308143,\n", + " 0.2325239 ]),\n", + " 'allocation diff. ': array([-2.19899077e-07, 1.72202224e-07, 4.76968533e-08, -2.19899077e-07,\n", + " 1.72202224e-07, 4.76968532e-08]),\n", + " 'budget factors ': array([0.07616286, 0.07616286, 0.07616286, 0.28339504, 0.17763637,\n", + " 0.31048002]),\n", + " 'desired alloc. ': array([0.15439489, 0.11308126, 0.23252385, 0.15439489, 0.11308126,\n", + " 0.23252385])}\n" + ] + } + ] + }, + { + "cell_type": "markdown", + "source": [], + "metadata": { + "id": "pPbGRemRfOLC" + } + }, + { + "cell_type": "markdown", + "source": [ + "# 3d example with plots\n", + "It looks pretty clean" + ], + "metadata": { + "id": "tOCmYTPsDkVO" + } + }, + { + "cell_type": "code", + "source": [ + "PARTITION = [list(range(1300)),list(range(1300,2350)),list(range(2350,3500))]\n", + "n_dim = dim_from_partition(PARTITION)\n", + "COV = rnd_symm_cov(rho=0.3, severity=0.1, n_dim=n_dim)\n", + "known_feasible_alloc = np.array([0.11439489, 0.15308126, 0.23252385])*2\n", + "desired_alloc = np.array([0.15439489, 0.11308126, 0.23252385])*2\n", + "\n", + "def _tilt(u):\n", + " return tilt(u=u, cov=COV, a=desired_alloc, partition=PARTITION)[0]\n", + "\n", + "def _allocation(u):\n", + " A = partition_matrix(partition=PARTITION)\n", + " sq_error, w, allocation = tilt(u=u, cov=COV, a=desired_alloc, partition=PARTITION)\n", + " return allocation \n", + " \n", + "\n", + "import numpy as np\n", + "from scipy.optimize import minimize\n", + "\n", + "def constraint(x):\n", + " return np.sum(x) - 1\n", + "n_groups = len(PARTITION)\n", + "bounds = [(0, 1) for i in range(n_groups)]\n", + "con = {'type': 'eq', 'fun': constraint}\n", + "options = {'maxiter': 1000, 'ftol': 1e-9}\n", + "x0 = np.array([1/n_groups for _ in range(n_groups)])\n", + "result = minimize(_tilt, x0, method='SLSQP', constraints=con, bounds=bounds, options=options)\n", + "u = result.x\n", + "from pprint import pprint\n", + "pprint({'budget factors ':u,'desired alloc. ':np.array(desired_alloc),'actual allocation':_allocation(u),'allocation diff. ':_allocation(u)-desired_alloc})\n" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "yC4qEdkjfXsF", + "outputId": "a1fb32d4-86e3-42c9-c387-dd9e5f50ac5a" + }, + "execution_count": 10, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "{'actual allocation': array([0.30878978, 0.22616252, 0.4650477 ]),\n", + " 'allocation diff. ': array([ 8.69712635e-11, -9.31728611e-10, 8.44757375e-10]),\n", + " 'budget factors ': array([0.35276201, 0.22271564, 0.42452235]),\n", + " 'desired alloc. ': array([0.30878978, 0.22616252, 0.4650477 ])}\n" + ] + } + ] + }, + { + "cell_type": "code", + "source": [ + "import matplotlib as mpl\n", + "mpl.rcParams['figure.figsize'] = [10.0, 8.0]\n", + "from humpday.visualization.plotting import simplex_surf\n", + "simplex_surf(_tilt)" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 466 + }, + "id": "gT3eKLtNDlVM", + "outputId": "3c2c9837-768a-46e5-ec0e-a2e81ce2089b" + }, + "execution_count": 11, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": [ + "
" + ], + "image/png": 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\n" + }, + "metadata": { + "needs_background": "light" + } + } + ] + } + ] +} \ No newline at end of file diff --git a/precise/func/__init__.py b/examples_basic_usage/__init__.py similarity index 100% rename from precise/func/__init__.py rename to examples_basic_usage/__init__.py diff --git a/examples_basic_usage/running_empirical_population_correlation.py b/examples_basic_usage/running_empirical_population_correlation.py new file mode 100644 index 00000000..55a5d2aa --- /dev/null +++ b/examples_basic_usage/running_empirical_population_correlation.py @@ -0,0 +1,14 @@ +from precise.skatertools.syntheticdata.miscellaneous import create_correlated_dataset +from precise.skaters.covariance.runemp import run_emp_pcov_d0 +from pprint import pprint +from precise.skaters.covarianceutil.covfunctions import cov_to_corrcoef + +# Basic example: running empirical population correlation + +if __name__=='__main__': + ys = create_correlated_dataset(n=500) + s = {} + for y in ys: + x, x_cov, s = run_emp_pcov_d0(s=s, y=y) + pcorr = cov_to_corrcoef(x_cov) + pprint(pcorr) # Population correlation diff --git a/examples_basic_usage/running_empirical_population_covariance.py b/examples_basic_usage/running_empirical_population_covariance.py new file mode 100644 index 00000000..b3259372 --- /dev/null +++ b/examples_basic_usage/running_empirical_population_covariance.py @@ -0,0 +1,13 @@ +from precise.skatertools.syntheticdata.miscellaneous import create_correlated_dataset +from precise.skaters.covariance.runemp import run_emp_pcov_d0 as f +from pprint import pprint + +# Basic example of running empirical population covariancecomparisonutil. +# This package contains dozens of alternatives to this particular choice of "f" + +if __name__=='__main__': + ys = create_correlated_dataset(n=500) + s = {} + for y in ys: + x, x_cov, s = f(s=s, y=y) + pprint(s) diff --git a/examples_basic_usage/running_empirical_sample_correlation.py b/examples_basic_usage/running_empirical_sample_correlation.py new file mode 100644 index 00000000..0e9bd66f --- /dev/null +++ b/examples_basic_usage/running_empirical_sample_correlation.py @@ -0,0 +1,16 @@ +from precise.skatertools.syntheticdata.miscellaneous import create_correlated_dataset +from precise.skaters.covariance.runemp import run_emp_pcov_d0 +from pprint import pprint +from precise.skaters.covarianceutil.covfunctions import cov_to_corrcoef +from precise.skaters.covarianceutil.statemutations import both_cov + +# Basic show_em of running empirical sample correlation + +if __name__=='__main__': + ys = create_correlated_dataset(n=500) + s = {} + for y in ys: + x, x_cov, s = run_emp_pcov_d0(s=s, y=y) # <--- + s = both_cov(s) # <--- Peek in the state and converts scov to pcov + scorr = cov_to_corrcoef(s['scov']) + pprint(scorr) # Sample correlation diff --git a/examples_basic_usage/running_empirical_sample_covariance.py b/examples_basic_usage/running_empirical_sample_covariance.py new file mode 100644 index 00000000..5001c396 --- /dev/null +++ b/examples_basic_usage/running_empirical_sample_covariance.py @@ -0,0 +1,14 @@ +from precise.skatertools.syntheticdata.miscellaneous import create_correlated_dataset +from precise.skaters.covariance.runemp import run_emp_pcov_d0 +from pprint import pprint +from precise.skaters.covarianceutil.statemutations import both_cov + +# Basic show_em of running empirical population covariancecomparisonutil + +if __name__=='__main__': + ys = create_correlated_dataset(n=500) + s = {} + for y in ys: + x, x_cov, s = run_emp_pcov_d0(s=s, y=y) + s = both_cov(s) # <--- Converts scov to pcov + pprint(s['scov']) diff --git a/examples_basic_usage/running_oas_covariance.py b/examples_basic_usage/running_oas_covariance.py new file mode 100644 index 00000000..3782bd96 --- /dev/null +++ b/examples_basic_usage/running_oas_covariance.py @@ -0,0 +1,30 @@ +from precise.skatertools.syntheticdata.miscellaneous import create_correlated_dataset +from precise.skaters.covariance.bufsk import buf_sk_oas_pcov_d0_n100 +from precise.skaters.covariance.runemp import run_emp_pcov_d0 +from precise.skaters.covarianceutil.statefunctions import oas +from pprint import pprint + +# Basic show_em of running OAS covariancecomparisonutil +# (just a simple function of the running state) + +if __name__=='__main__': + ys = create_correlated_dataset(n=50) + + # Method 1: Use the buffered OAS skater + s1 = {} + for y in ys: + x, x_cov, s1 = buf_sk_oas_pcov_d0_n100(s=s1, y=y) + print(x_cov) + + # Method 2: Use the empirical skater and, when you need it, apply the OAS helper + # (Will be the same but only so long as n\"Open" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "SIHJnIVINZ7b" + }, + "outputs": [], + "source": [ + "!pip install git+https://github.com/microprediction/precise.git" + ] + }, + { + "cell_type": "markdown", + "source": [ + "### Report current Elo ratings\n", + "Be a little patient" + ], + "metadata": { + "id": "Cd0J8WX-RelH" + } + }, + { + "cell_type": "code", + "source": [ + "from precise.skatervaluation.battleutil.compilingeloratings import elo_from_win_files\n", + "from pprint import pprint \n", + "elos = elo_from_win_files()" + ], + "metadata": { + "id": "Qy-f0jV3NkGn" + }, + "execution_count": 2, + "outputs": [] + }, + { + "cell_type": "code", + "source": [ + "the_categories = [c for c,_ in elos]\n", + "print(the_categories)" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "61YqUwxpUnMy", + "outputId": "65eb557f-c59f-4b64-a3b3-e05454ad89d7" + }, + "execution_count": 3, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "['m6_stocks_daily_p5_n300', 'm6_stocks_daily_p25_n300']\n" + ] + } + ] + }, + { + "cell_type": "code", + "source": [ + "pprint(elos)" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "JMz5kyDwSR_f", + "outputId": "b122171d-54e0-45e0-d006-e11c3d06400b" + }, + "execution_count": 4, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "[('m6_stocks_daily_p5_n300',\n", + " Counter({'ewa_emp_pcov_d0_r01': 2056.6087587374086,\n", + " 'ewa_pm_emp_scov_r01_n100': 1954.0837661784103,\n", + " 'ewa_pm_emp_scov_r05_n25': 1905.7610157952174,\n", + " 'run_emp_pcov_d0': 1894.3957237425514,\n", + " 'buf_sk_oas_pcov_d0_n100': 1842.0186320913306,\n", + " 'ewa_pm_emp_scov_r02_n100': 1837.154638779129,\n", + " 'buf_sk_ld_pcov_d0_n100': 1820.407182355559,\n", + " 'ewa_pm_emp_scov_r02_n50': 1804.1006153810833,\n", + " 'ewa_emp_pcov_d0_r02': 1798.617879830803,\n", + " 'ewa_pm_emp_scov_r01_n200': 1787.5194433255706,\n", + " 'buf_huber_pcov_d0_a1_b5_n200': 1709.2004735451858,\n", + " 'buf_huber_pcov_d0_a05_b2_n200': 1707.5336111329723,\n", + " 'buf_sk_glcv_pcov_d0_n100': 1677.3680290493332,\n", + " 'buf_huber_pcov_d0_a1_b2_n200': 1608.642726781999,\n", + " 'buf_emp_pcov_d0_n100': 1605.385624256439,\n", + " 'buf_huber_pcov_d0_a05_b2_n100': 1603.3185497067461,\n", + " 'ewa_lz_scov_d0_rg005_rl02_n50': 1549.565568925084,\n", + " 'buf_huber_pcov_d0_a1_b5_n100': 1545.4386003082366,\n", + " 'buf_sk_emp_pcov_d0_n100': 1539.8952957762262,\n", + " 'ewa_lz_scov_d0_rg01_rl01_n100': 1461.359115212977,\n", + " 'buf_huber_pcov_d0_a1_b2_n100': 1450.0017911827445,\n", + " 'buf_huber_pcov_d0_a1_b5_n50': 1399.021760418556,\n", + " 'buf_emp_pcov_d0_n50': 1381.9364543882473,\n", + " 'buf_huber_pcov_d0_a1_b2_n50': 1345.2670623606264,\n", + " 'ewa_emp_pcov_d0_r05': 1319.4265598332431,\n", + " 'ewa_pm_emp_scov_r05_n50': 1303.6093559992903,\n", + " 'buf_huber_pcov_d0_a05_b2_n50': 1286.7739394154885,\n", + " 'ewa_lw_scov_d0_r01': 1117.0980071844622,\n", + " 'buf_sk_gl_pcov_d0_n100': 1112.432841438934,\n", + " 'ewa_lw_scov_d0_r02': 1058.1841892033576,\n", + " 'ewa_lz_scov_d0_rg005_rl01_n100': 1018.7900321788042,\n", + " 'ewa_emp_pcov_d0_r10': 948.4170267806011,\n", + " 'buf_sk_mcd_pcov_d0_n100': 834.9535552674776,\n", + " 'buf_emp_pcov_d0_n20': 715.7121734359018})),\n", + " ('m6_stocks_daily_p25_n300',\n", + " Counter({'ewa_pm_emp_scov_r01': 2732.22936367643,\n", + " 'ewa_pm_emp_scov_r01_t0': 2709.528719653436,\n", + " 'run_emp_pcov_d0': 2512.078531762425,\n", + " 'ewa_emp_pcov_d0_r01': 2465.737542699477,\n", + " 'buf_sk_ld_pcov_d0_n100': 2277.0504508222393,\n", + " 'buf_sk_glcv_pcov_d0_n100': 2249.9436398567677,\n", + " 'buf_sk_oas_pcov_d0_n100': 2148.3316741865924,\n", + " 'buf_huber_pcov_d0_a1_b5_n200': 2142.241622630625,\n", + " 'buf_huber_pcov_d0_a05_b2_n200': 2064.8778485595085,\n", + " 'buf_huber_pcov_d0_a1_b2_n200': 1969.7978397075462,\n", + " 'ewa_pm_emp_scov_r01_n200': 1945.4256956370284,\n", + " 'ewa_pm_emp_scov_r02': 1807.4435381106084,\n", + " 'ewa_pm_emp_scov_r01_n100': 1796.8631120663474,\n", + " 'ewa_pm_emp_scov_r02_t0': 1791.7478625485694,\n", + " 'ewa_emp_pcov_d0_r02': 1707.5871596282147,\n", + " 'ewa_pm_emp_scov_r02_n100': 1695.1479743890993,\n", + " 'ewa_pm_emp_scov_r05_n25': 1663.3797812319,\n", + " 'ewa_lz_scov_d0_rg005_rl02_n50': 1627.557887408645,\n", + " 'ewa_pm_emp_scov_r02_n50': 1626.357456352982,\n", + " 'ewa_lz_scov_d0_rg01_rl01_n100': 1562.316798898744,\n", + " 'buf_sk_emp_pcov_d0_n100': 1559.3892739986568,\n", + " 'buf_emp_pcov_d0_n100': 1540.6004831838252,\n", + " 'buf_huber_pcov_d0_a1_b5_n100': 1484.178035839985,\n", + " 'buf_huber_pcov_d0_a05_b2_n100': 1379.142646173649,\n", + " 'ewa_pm_emp_scov_r05_n50': 1347.7165350720716,\n", + " 'buf_huber_pcov_d0_a1_b2_n100': 1327.9741007871182,\n", + " 'ewa_lz_scov_d0_rg005_rl01_n100': 1227.7877211637701,\n", + " 'buf_sk_gl_pcov_d0_n100': 1207.0093487269025,\n", + " 'ewa_lw_scov_d0_r01': 1092.9738048355805,\n", + " 'ewa_lw_scov_d0_r02': 1038.4908103394419,\n", + " 'ewa_pm_emp_scov_r05_t0': 913.2771756209722,\n", + " 'ewa_pm_emp_scov_r05': 868.6699509160666,\n", + " 'buf_emp_pcov_d0_n20': 861.4166183843312,\n", + " 'ewa_emp_pcov_d0_r05': 828.0670047432791,\n", + " 'buf_emp_pcov_d0_n50': 716.9014742226427,\n", + " 'buf_huber_pcov_d0_a1_b5_n50': 648.4846654029797,\n", + " 'buf_huber_pcov_d0_a05_b2_n50': 557.0727665813296,\n", + " 'buf_huber_pcov_d0_a1_b2_n50': 383.67163288967174,\n", + " 'buf_sk_mcd_pcov_d0_n100': 370.5666066174874,\n", + " 'ewa_emp_pcov_d0_r10': 150.96484467304845}))]\n" + ] + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "## Print Elos and code locations" + ], + "metadata": { + "id": "jOL4sI47R1vD" + } + }, + { + "cell_type": "code", + "source": [ + "from precise.whereami import url_from_skater_name\n", + "n_top = 15 # <-- Number to print per category\n", + "results_with_urls = dict()\n", + "for cat, cat_elos in elos:\n", + " elos_w_code = sorted( [ (rating,name, url_from_skater_name(name)) for name,rating in cat_elos.items()],reverse=True)[:n_top]\n", + " results_with_urls[cat] = elos_w_code\n", + "pprint(results_with_urls)" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "ASbpDgVpR4_6", + "outputId": "7bffa6e8-0cf4-4b5a-eb75-9df21339b97d" + }, + "execution_count": 7, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "{'m6_stocks_daily_p25_n300': [(2732.22936367643,\n", + " 'ewa_pm_emp_scov_r01',\n", + " 'https://github.com/microprediction/precise/blob/main/precise/skaters/covariance/ewapm.py'),\n", + " (2709.528719653436,\n", + " 'ewa_pm_emp_scov_r01_t0',\n", + " 'https://github.com/microprediction/precise/blob/main/precise/skaters/covariance/ewapm.py'),\n", + " (2512.078531762425,\n", + " 'run_emp_pcov_d0',\n", + " 'https://github.com/microprediction/precise/blob/main/precise/skaters/covariance/runemp.py'),\n", + " (2465.737542699477,\n", + " 'ewa_emp_pcov_d0_r01',\n", + " 'https://github.com/microprediction/precise/blob/main/precise/skaters/covariance/ewaemp.py'),\n", + " (2277.0504508222393,\n", + " 'buf_sk_ld_pcov_d0_n100',\n", + " 'https://github.com/microprediction/precise/blob/main/precise/skaters/covariance/bufsk.py'),\n", + " (2249.9436398567677,\n", + " 'buf_sk_glcv_pcov_d0_n100',\n", + " 'https://github.com/microprediction/precise/blob/main/precise/skaters/covariance/bufsk.py'),\n", + " (2148.3316741865924,\n", + " 'buf_sk_oas_pcov_d0_n100',\n", + " 'https://github.com/microprediction/precise/blob/main/precise/skaters/covariance/bufsk.py'),\n", + " (2142.241622630625,\n", + " 'buf_huber_pcov_d0_a1_b5_n200',\n", + " 'https://github.com/microprediction/precise/blob/main/precise/skaters/covariance/bufhuber.py'),\n", + " (2064.8778485595085,\n", + " 'buf_huber_pcov_d0_a05_b2_n200',\n", + " 'https://github.com/microprediction/precise/blob/main/precise/skaters/covariance/bufhuber.py'),\n", + " (1969.7978397075462,\n", + " 'buf_huber_pcov_d0_a1_b2_n200',\n", + " 'https://github.com/microprediction/precise/blob/main/precise/skaters/covariance/bufhuber.py'),\n", + " (1945.4256956370284,\n", + " 'ewa_pm_emp_scov_r01_n200',\n", + " 'https://github.com/microprediction/precise/blob/main/precise/skaters/covariance/ewapm.py'),\n", + " (1807.4435381106084,\n", + " 'ewa_pm_emp_scov_r02',\n", + " 'https://github.com/microprediction/precise/blob/main/precise/skaters/covariance/ewapm.py'),\n", + " (1796.8631120663474,\n", + " 'ewa_pm_emp_scov_r01_n100',\n", + " 'https://github.com/microprediction/precise/blob/main/precise/skaters/covariance/ewapm.py'),\n", + " (1791.7478625485694,\n", + " 'ewa_pm_emp_scov_r02_t0',\n", + " 'https://github.com/microprediction/precise/blob/main/precise/skaters/covariance/ewapm.py'),\n", + " (1707.5871596282147,\n", + " 'ewa_emp_pcov_d0_r02',\n", + " 'https://github.com/microprediction/precise/blob/main/precise/skaters/covariance/ewaemp.py')],\n", + " 'm6_stocks_daily_p5_n300': [(2056.6087587374086,\n", + " 'ewa_emp_pcov_d0_r01',\n", + " 'https://github.com/microprediction/precise/blob/main/precise/skaters/covariance/ewaemp.py'),\n", + " (1954.0837661784103,\n", + " 'ewa_pm_emp_scov_r01_n100',\n", + " 'https://github.com/microprediction/precise/blob/main/precise/skaters/covariance/ewapm.py'),\n", + " (1905.7610157952174,\n", + " 'ewa_pm_emp_scov_r05_n25',\n", + " 'https://github.com/microprediction/precise/blob/main/precise/skaters/covariance/ewapm.py'),\n", + " (1894.3957237425514,\n", + " 'run_emp_pcov_d0',\n", + " 'https://github.com/microprediction/precise/blob/main/precise/skaters/covariance/runemp.py'),\n", + " (1842.0186320913306,\n", + " 'buf_sk_oas_pcov_d0_n100',\n", + " 'https://github.com/microprediction/precise/blob/main/precise/skaters/covariance/bufsk.py'),\n", + " (1837.154638779129,\n", + " 'ewa_pm_emp_scov_r02_n100',\n", + " 'https://github.com/microprediction/precise/blob/main/precise/skaters/covariance/ewapm.py'),\n", + " (1820.407182355559,\n", + " 'buf_sk_ld_pcov_d0_n100',\n", + " 'https://github.com/microprediction/precise/blob/main/precise/skaters/covariance/bufsk.py'),\n", + " (1804.1006153810833,\n", + " 'ewa_pm_emp_scov_r02_n50',\n", + " 'https://github.com/microprediction/precise/blob/main/precise/skaters/covariance/ewapm.py'),\n", + " (1798.617879830803,\n", + " 'ewa_emp_pcov_d0_r02',\n", + " 'https://github.com/microprediction/precise/blob/main/precise/skaters/covariance/ewaemp.py'),\n", + " (1787.5194433255706,\n", + " 'ewa_pm_emp_scov_r01_n200',\n", + " 'https://github.com/microprediction/precise/blob/main/precise/skaters/covariance/ewapm.py'),\n", + " (1709.2004735451858,\n", + " 'buf_huber_pcov_d0_a1_b5_n200',\n", + " 'https://github.com/microprediction/precise/blob/main/precise/skaters/covariance/bufhuber.py'),\n", + " (1707.5336111329723,\n", + " 'buf_huber_pcov_d0_a05_b2_n200',\n", + " 'https://github.com/microprediction/precise/blob/main/precise/skaters/covariance/bufhuber.py'),\n", + " (1677.3680290493332,\n", + " 'buf_sk_glcv_pcov_d0_n100',\n", + " 'https://github.com/microprediction/precise/blob/main/precise/skaters/covariance/bufsk.py'),\n", + " (1608.642726781999,\n", + " 'buf_huber_pcov_d0_a1_b2_n200',\n", + " 'https://github.com/microprediction/precise/blob/main/precise/skaters/covariance/bufhuber.py'),\n", + " (1605.385624256439,\n", + " 'buf_emp_pcov_d0_n100',\n", + " 'https://github.com/microprediction/precise/blob/main/precise/skaters/covariance/bufemp.py')]}\n" + ] + } + ] + } + ] +} diff --git a/examples_colab_notebooks/elo_ratings_and_code_urls_2022_02.ipynb b/examples_colab_notebooks/elo_ratings_and_code_urls_2022_02.ipynb new file mode 100644 index 00000000..0c9e3f8a --- /dev/null +++ b/examples_colab_notebooks/elo_ratings_and_code_urls_2022_02.ipynb @@ -0,0 +1,409 @@ +{ + "nbformat": 4, + "nbformat_minor": 0, + "metadata": { + "colab": { + "name": "elo_ratings_and_code_urls_2022_02.ipynb", + "provenance": [], + "authorship_tag": "ABX9TyOn7972shpERxb+yssB4/aB", + "include_colab_link": true + }, + "kernelspec": { + "name": "python3", + "display_name": "Python 3" + }, + "language_info": { + "name": "python" + } + }, + "cells": [ + { + "cell_type": "markdown", + "metadata": { + "id": "view-in-github", + "colab_type": "text" + }, + "source": [ + "\"Open" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "SIHJnIVINZ7b" + }, + "outputs": [], + "source": [ + "!pip install git+https://github.com/microprediction/precise.git" + ] + }, + { + "cell_type": "markdown", + "source": [ + "### Report current Elo ratings\n", + "Be a little patient" + ], + "metadata": { + "id": "Cd0J8WX-RelH" + } + }, + { + "cell_type": "code", + "source": [ + "from precise.skatervaluation.battleutil.compilingeloratings import elo_from_win_files\n", + "from pprint import pprint \n", + "elos = elo_from_win_files()" + ], + "metadata": { + "id": "Qy-f0jV3NkGn" + }, + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "code", + "source": [ + "the_categories = [c for c,_ in elos]\n", + "print(the_categories)" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "61YqUwxpUnMy", + "outputId": "7f329c39-94e9-4ec4-ecf0-b9815ed07b56" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "['m6_stocks_daily_p5_n300', 'm6_stocks_daily_p25_n300', 'm6_daily_p25_n300']\n" + ] + } + ] + }, + { + "cell_type": "code", + "source": [ + "pprint(elos)" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "JMz5kyDwSR_f", + "outputId": "c1376425-37eb-49f2-cb71-8d95e1a9b426" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "[('m6_stocks_daily_p5_n300',\n", + " Counter({'ewa_emp_pcov_d0_r01': 2091.8977516889395,\n", + " 'ewa_pm_emp_scov_r01_n100': 1952.0864535109513,\n", + " 'run_emp_pcov_d0': 1932.5330963499375,\n", + " 'ewa_pm_emp_scov_r01_n200': 1876.003622778621,\n", + " 'ewa_pm_emp_scov_r05_n25': 1848.6763233086199,\n", + " 'ewa_pm_emp_scov_r02_n100': 1830.54761686684,\n", + " 'buf_sk_ld_pcov_d0_n100': 1819.8616045359336,\n", + " 'buf_sk_oas_pcov_d0_n100': 1805.0480091203092,\n", + " 'ewa_pm_emp_scov_r02_n50': 1790.2796052908604,\n", + " 'ewa_emp_pcov_d0_r02': 1750.135247341709,\n", + " 'buf_huber_pcov_d0_a05_b2_n200': 1705.1345509450466,\n", + " 'buf_huber_pcov_d0_a1_b5_n200': 1677.4827940573975,\n", + " 'buf_sk_glcv_pcov_d0_n100': 1652.1133177014583,\n", + " 'buf_huber_pcov_d0_a1_b2_n200': 1624.3358488766835,\n", + " 'buf_emp_pcov_d0_n100': 1593.6566449694371,\n", + " 'buf_huber_pcov_d0_a05_b2_n100': 1591.3394989012654,\n", + " 'ewa_lz_scov_d0_rg005_rl02_n50': 1555.548769569788,\n", + " 'buf_huber_pcov_d0_a1_b5_n100': 1545.1855491938852,\n", + " 'buf_sk_emp_pcov_d0_n100': 1541.95437180324,\n", + " 'ewa_lz_scov_d0_rg01_rl01_n100': 1492.8513280945235,\n", + " 'buf_huber_pcov_d0_a1_b2_n100': 1475.971923828155,\n", + " 'buf_huber_pcov_d0_a1_b5_n50': 1380.3080012275423,\n", + " 'buf_emp_pcov_d0_n50': 1369.719882727501,\n", + " 'ewa_pm_emp_scov_r05_n50': 1356.9771814160197,\n", + " 'buf_huber_pcov_d0_a1_b2_n50': 1318.8519752768125,\n", + " 'ewa_emp_pcov_d0_r05': 1267.2840020814674,\n", + " 'buf_huber_pcov_d0_a05_b2_n50': 1265.423950309388,\n", + " 'ewa_lw_scov_d0_r01': 1142.7730506607422,\n", + " 'buf_sk_gl_pcov_d0_n100': 1139.769748968394,\n", + " 'ewa_lw_scov_d0_r02': 1069.7732710633823,\n", + " 'ewa_lz_scov_d0_rg005_rl01_n100': 1046.7570459988804,\n", + " 'ewa_emp_pcov_d0_r10': 935.5280464306757,\n", + " 'buf_sk_mcd_pcov_d0_n100': 821.3373300388855,\n", + " 'buf_emp_pcov_d0_n20': 732.8525850667072})),\n", + " ('m6_stocks_daily_p25_n300',\n", + " Counter({'ewa_pm_emp_scov_r01': 2736.3523878290184,\n", + " 'ewa_pm_emp_scov_r01_t0': 2709.7108127825386,\n", + " 'run_emp_pcov_d0': 2498.9960389382254,\n", + " 'ewa_emp_pcov_d0_r01': 2460.2184870342794,\n", + " 'buf_sk_ld_pcov_d0_n100': 2243.3159498541468,\n", + " 'ewa_pm_emp_scov_r01_n200': 2201.79330551826,\n", + " 'buf_sk_glcv_pcov_d0_n100': 2199.147779293328,\n", + " 'buf_sk_oas_pcov_d0_n100': 2179.427295964635,\n", + " 'buf_huber_pcov_d0_a1_b5_n200': 2162.0497408207466,\n", + " 'buf_huber_pcov_d0_a05_b2_n200': 2034.9069027002395,\n", + " 'ewa_pm_emp_scov_r01_n100': 2009.3873693843664,\n", + " 'buf_huber_pcov_d0_a1_b2_n200': 1960.5170044997767,\n", + " 'ewa_pm_emp_scov_r02_t0': 1809.8288023691816,\n", + " 'ewa_pm_emp_scov_r02': 1805.2483807632632,\n", + " 'ewa_pm_emp_scov_r02_n100': 1763.4762553886826,\n", + " 'ewa_emp_pcov_d0_r02': 1700.1256258066808,\n", + " 'ewa_pm_emp_scov_r05_n25': 1694.1268728697712,\n", + " 'ewa_pm_emp_scov_r02_n50': 1633.462530403563,\n", + " 'ewa_lz_scov_d0_rg005_rl02_n50': 1630.1524871141248,\n", + " 'ewa_lz_scov_d0_rg01_rl01_n100': 1546.3143303314553,\n", + " 'buf_sk_emp_pcov_d0_n100': 1517.5785877832893,\n", + " 'buf_emp_pcov_d0_n100': 1515.640029901617,\n", + " 'buf_huber_pcov_d0_a1_b5_n100': 1493.3408410916627,\n", + " 'buf_huber_pcov_d0_a05_b2_n100': 1398.77672621358,\n", + " 'buf_huber_pcov_d0_a1_b2_n100': 1318.0176750336611,\n", + " 'ewa_lz_scov_d0_rg005_rl01_n100': 1260.4626609588568,\n", + " 'ewa_pm_emp_scov_r05_n50': 1198.3946359117244,\n", + " 'buf_sk_gl_pcov_d0_n100': 1151.0626340289998,\n", + " 'ewa_lw_scov_d0_r01': 1094.3331354504965,\n", + " 'ewa_lw_scov_d0_r02': 1007.2187508533985,\n", + " 'ewa_pm_emp_scov_r05_t0': 906.9314584860538,\n", + " 'ewa_pm_emp_scov_r05': 848.1607218814717,\n", + " 'buf_emp_pcov_d0_n20': 834.4831340884651,\n", + " 'ewa_emp_pcov_d0_r05': 811.7386408467377,\n", + " 'buf_emp_pcov_d0_n50': 700.5412046247012,\n", + " 'buf_huber_pcov_d0_a1_b5_n50': 618.2493344261421,\n", + " 'buf_huber_pcov_d0_a05_b2_n50': 521.0470117415803,\n", + " 'buf_huber_pcov_d0_a1_b2_n50': 396.257948639609,\n", + " 'buf_sk_mcd_pcov_d0_n100': 331.4617123393854,\n", + " 'ewa_emp_pcov_d0_r10': 97.74479603227176})),\n", + " ('m6_daily_p25_n300',\n", + " Counter({'ewa_pm_emp_scov_r01_n200_t0': 2111.838042184667,\n", + " 'ewa_pm_emp_scov_r01_n200': 2097.4293787639026,\n", + " 'run_emp_pcov_d0': 2007.606470274644,\n", + " 'ewa_pm_emp_scov_r01_n100': 1994.7639314756786,\n", + " 'ewa_pm_emp_scov_r01_n100_t0': 1986.1371604691155,\n", + " 'ewa_emp_pcov_d0_r01': 1901.0707918265375,\n", + " 'buf_sk_ld_pcov_d0_n100': 1842.9790830046531,\n", + " 'buf_sk_oas_pcov_d0_n200': 1825.167882449603,\n", + " 'buf_sk_oas_pcov_d0_n300': 1805.5635324643474,\n", + " 'buf_sk_oas_pcov_d0_n100': 1799.700383841623,\n", + " 'buf_sk_glcv_pcov_d0_n200': 1786.7751225633572,\n", + " 'buf_huber_pcov_d0_a05_b2_n200': 1758.2819500907876,\n", + " 'buf_huber_pcov_d0_a1_b5_n200': 1745.977854996599,\n", + " 'buf_sk_glcv_pcov_d0_n100': 1739.5988196476078,\n", + " 'buf_sk_ld_pcov_d0_n300': 1686.7571673673713,\n", + " 'buf_huber_pcov_d0_a1_b2_n200': 1682.7258332936285,\n", + " 'buf_sk_glcv_pcov_d0_n300': 1680.8213541266891,\n", + " 'ewa_pm_emp_scov_r02_n50_t0': 1678.84191253981,\n", + " 'ewa_pm_emp_scov_r05_n25_t0': 1641.4481804673483,\n", + " 'buf_sk_glcv_pcov_d0_n200_t0': 1637.2579763294134,\n", + " 'ewa_pm_emp_scov_r02_n100_t0': 1632.2216968652015,\n", + " 'ewa_pm_emp_scov_r02_n50': 1630.0547501813332,\n", + " 'buf_sk_glcv_pcov_d0_n100_t0': 1614.7509631602713,\n", + " 'ewa_emp_pcov_d0_r02': 1572.6244188634903,\n", + " 'ewa_pm_emp_scov_r05_n25': 1568.172905390972,\n", + " 'ewa_pm_emp_scov_r02_n100': 1563.8331718700208,\n", + " 'ewa_lw_scov_d0_r01': 1529.261334752999,\n", + " 'buf_sk_ld_pcov_d0_n200': 1518.1305418404688,\n", + " 'buf_sk_gl_pcov_d0_n200': 1474.8402568094264,\n", + " 'buf_sk_gl_pcov_d0_n100': 1432.0541578967209,\n", + " 'ewa_lz_scov_d0_rg01_rl01_n100': 1418.6075410142007,\n", + " 'ewa_lw_scov_d0_r02': 1402.7325729722738,\n", + " 'buf_emp_pcov_d0_n100': 1389.2116331054422,\n", + " 'buf_sk_emp_pcov_d0_n100': 1336.4564860879304,\n", + " 'buf_huber_pcov_d0_a1_b5_n100': 1315.8039638016025,\n", + " 'ewa_lz_scov_d0_rg005_rl02_n50': 1291.6190448992527,\n", + " 'buf_huber_pcov_d0_a05_b2_n100': 1291.0877379815568,\n", + " 'ewa_lz_scov_d0_rg005_rl01_n100': 1288.5104373905901,\n", + " 'buf_huber_pcov_d0_a1_b2_n100': 1223.4180715454559,\n", + " 'ewa_emp_pcov_d0_r05': 1204.6635955051458,\n", + " 'ewa_pm_emp_scov_r05_n50': 1188.6744543756095,\n", + " 'ewa_pm_emp_scov_r05_n50_t0': 1132.879539687231,\n", + " 'buf_emp_pcov_d0_n50': 1039.0486846253202,\n", + " 'buf_emp_pcov_d0_n20': 958.8494238950236,\n", + " 'buf_huber_pcov_d0_a1_b5_n50': 948.7547292669032,\n", + " 'buf_huber_pcov_d0_a05_b2_n50': 879.9191450683343,\n", + " 'buf_sk_mcd_pcov_d0_n100': 806.3761637065817,\n", + " 'buf_huber_pcov_d0_a1_b2_n50': 805.1021727609459,\n", + " 'ewa_emp_pcov_d0_r10': 631.597576502312}))]\n" + ] + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "## Print Elos and code locations" + ], + "metadata": { + "id": "jOL4sI47R1vD" + } + }, + { + "cell_type": "code", + "source": [ + "from precise.whereami import url_from_skater_name\n", + "n_top = 15 # <-- Number to print per category\n", + "results_with_urls = dict()\n", + "for cat, cat_elos in elos:\n", + " elos_w_code = sorted( [ (rating,name, url_from_skater_name(name)) for name,rating in cat_elos.items()],reverse=True)[:n_top]\n", + " results_with_urls[cat] = elos_w_code\n", + "pprint(results_with_urls)" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "ASbpDgVpR4_6", + "outputId": "e468521f-6289-4fe5-e03a-42d656d6e32a" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "{'m6_daily_p25_n300': [(2111.838042184667,\n", + " 'ewa_pm_emp_scov_r01_n200_t0',\n", + " 'https://github.com/microprediction/precise/blob/main/precise/skaters/covariance/ewapm.py'),\n", + " (2097.4293787639026,\n", + " 'ewa_pm_emp_scov_r01_n200',\n", + " 'https://github.com/microprediction/precise/blob/main/precise/skaters/covariance/ewapm.py'),\n", + " (2007.606470274644,\n", + " 'run_emp_pcov_d0',\n", + " 'https://github.com/microprediction/precise/blob/main/precise/skaters/covariance/runemp.py'),\n", + " (1994.7639314756786,\n", + " 'ewa_pm_emp_scov_r01_n100',\n", + " 'https://github.com/microprediction/precise/blob/main/precise/skaters/covariance/ewapm.py'),\n", + " (1986.1371604691155,\n", + " 'ewa_pm_emp_scov_r01_n100_t0',\n", + " 'https://github.com/microprediction/precise/blob/main/precise/skaters/covariance/ewapm.py'),\n", + " (1901.0707918265375,\n", + " 'ewa_emp_pcov_d0_r01',\n", + " 'https://github.com/microprediction/precise/blob/main/precise/skaters/covariance/ewaemp.py'),\n", + " (1842.9790830046531,\n", + " 'buf_sk_ld_pcov_d0_n100',\n", + " 'https://github.com/microprediction/precise/blob/main/precise/skaters/covariance/bufsk.py'),\n", + " (1825.167882449603,\n", + " 'buf_sk_oas_pcov_d0_n200',\n", + " 'https://github.com/microprediction/precise/blob/main/precise/skaters/covariance/bufsk.py'),\n", + " (1805.5635324643474,\n", + " 'buf_sk_oas_pcov_d0_n300',\n", + " 'https://github.com/microprediction/precise/blob/main/precise/skaters/covariance/bufsk.py'),\n", + " (1799.700383841623,\n", + " 'buf_sk_oas_pcov_d0_n100',\n", + " 'https://github.com/microprediction/precise/blob/main/precise/skaters/covariance/bufsk.py'),\n", + " (1786.7751225633572,\n", + " 'buf_sk_glcv_pcov_d0_n200',\n", + " 'https://github.com/microprediction/precise/blob/main/precise/skaters/covariance/bufsk.py'),\n", + " (1758.2819500907876,\n", + " 'buf_huber_pcov_d0_a05_b2_n200',\n", + " 'https://github.com/microprediction/precise/blob/main/precise/skaters/covariance/bufhuber.py'),\n", + " (1745.977854996599,\n", + " 'buf_huber_pcov_d0_a1_b5_n200',\n", + " 'https://github.com/microprediction/precise/blob/main/precise/skaters/covariance/bufhuber.py'),\n", + " (1739.5988196476078,\n", + " 'buf_sk_glcv_pcov_d0_n100',\n", + " 'https://github.com/microprediction/precise/blob/main/precise/skaters/covariance/bufsk.py'),\n", + " (1686.7571673673713,\n", + " 'buf_sk_ld_pcov_d0_n300',\n", + " 'https://github.com/microprediction/precise/blob/main/precise/skaters/covariance/bufsk.py')],\n", + " 'm6_stocks_daily_p25_n300': [(2736.3523878290184,\n", + " 'ewa_pm_emp_scov_r01',\n", + " 'https://github.com/microprediction/precise/blob/main/precise/skaters/covariance/ewapm.py'),\n", + " (2709.7108127825386,\n", + " 'ewa_pm_emp_scov_r01_t0',\n", + " 'https://github.com/microprediction/precise/blob/main/precise/skaters/covariance/ewapm.py'),\n", + " (2498.9960389382254,\n", + " 'run_emp_pcov_d0',\n", + " 'https://github.com/microprediction/precise/blob/main/precise/skaters/covariance/runemp.py'),\n", + " (2460.2184870342794,\n", + " 'ewa_emp_pcov_d0_r01',\n", + " 'https://github.com/microprediction/precise/blob/main/precise/skaters/covariance/ewaemp.py'),\n", + " (2243.3159498541468,\n", + " 'buf_sk_ld_pcov_d0_n100',\n", + " 'https://github.com/microprediction/precise/blob/main/precise/skaters/covariance/bufsk.py'),\n", + " (2201.79330551826,\n", + " 'ewa_pm_emp_scov_r01_n200',\n", + " 'https://github.com/microprediction/precise/blob/main/precise/skaters/covariance/ewapm.py'),\n", + " (2199.147779293328,\n", + " 'buf_sk_glcv_pcov_d0_n100',\n", + " 'https://github.com/microprediction/precise/blob/main/precise/skaters/covariance/bufsk.py'),\n", + " (2179.427295964635,\n", + " 'buf_sk_oas_pcov_d0_n100',\n", + " 'https://github.com/microprediction/precise/blob/main/precise/skaters/covariance/bufsk.py'),\n", + " (2162.0497408207466,\n", + " 'buf_huber_pcov_d0_a1_b5_n200',\n", + " 'https://github.com/microprediction/precise/blob/main/precise/skaters/covariance/bufhuber.py'),\n", + " (2034.9069027002395,\n", + " 'buf_huber_pcov_d0_a05_b2_n200',\n", + " 'https://github.com/microprediction/precise/blob/main/precise/skaters/covariance/bufhuber.py'),\n", + " (2009.3873693843664,\n", + " 'ewa_pm_emp_scov_r01_n100',\n", + " 'https://github.com/microprediction/precise/blob/main/precise/skaters/covariance/ewapm.py'),\n", + " (1960.5170044997767,\n", + " 'buf_huber_pcov_d0_a1_b2_n200',\n", + " 'https://github.com/microprediction/precise/blob/main/precise/skaters/covariance/bufhuber.py'),\n", + " (1809.8288023691816,\n", + " 'ewa_pm_emp_scov_r02_t0',\n", + " 'https://github.com/microprediction/precise/blob/main/precise/skaters/covariance/ewapm.py'),\n", + " (1805.2483807632632,\n", + " 'ewa_pm_emp_scov_r02',\n", + " 'https://github.com/microprediction/precise/blob/main/precise/skaters/covariance/ewapm.py'),\n", + " (1763.4762553886826,\n", + " 'ewa_pm_emp_scov_r02_n100',\n", + " 'https://github.com/microprediction/precise/blob/main/precise/skaters/covariance/ewapm.py')],\n", + " 'm6_stocks_daily_p5_n300': [(2091.8977516889395,\n", + " 'ewa_emp_pcov_d0_r01',\n", + " 'https://github.com/microprediction/precise/blob/main/precise/skaters/covariance/ewaemp.py'),\n", + " (1952.0864535109513,\n", + " 'ewa_pm_emp_scov_r01_n100',\n", + " 'https://github.com/microprediction/precise/blob/main/precise/skaters/covariance/ewapm.py'),\n", + " (1932.5330963499375,\n", + " 'run_emp_pcov_d0',\n", + " 'https://github.com/microprediction/precise/blob/main/precise/skaters/covariance/runemp.py'),\n", + " (1876.003622778621,\n", + " 'ewa_pm_emp_scov_r01_n200',\n", + " 'https://github.com/microprediction/precise/blob/main/precise/skaters/covariance/ewapm.py'),\n", + " (1848.6763233086199,\n", + " 'ewa_pm_emp_scov_r05_n25',\n", + " 'https://github.com/microprediction/precise/blob/main/precise/skaters/covariance/ewapm.py'),\n", + " (1830.54761686684,\n", + " 'ewa_pm_emp_scov_r02_n100',\n", + " 'https://github.com/microprediction/precise/blob/main/precise/skaters/covariance/ewapm.py'),\n", + " (1819.8616045359336,\n", + " 'buf_sk_ld_pcov_d0_n100',\n", + " 'https://github.com/microprediction/precise/blob/main/precise/skaters/covariance/bufsk.py'),\n", + " (1805.0480091203092,\n", + " 'buf_sk_oas_pcov_d0_n100',\n", + " 'https://github.com/microprediction/precise/blob/main/precise/skaters/covariance/bufsk.py'),\n", + " (1790.2796052908604,\n", + " 'ewa_pm_emp_scov_r02_n50',\n", + " 'https://github.com/microprediction/precise/blob/main/precise/skaters/covariance/ewapm.py'),\n", + " (1750.135247341709,\n", + " 'ewa_emp_pcov_d0_r02',\n", + " 'https://github.com/microprediction/precise/blob/main/precise/skaters/covariance/ewaemp.py'),\n", + " (1705.1345509450466,\n", + " 'buf_huber_pcov_d0_a05_b2_n200',\n", + " 'https://github.com/microprediction/precise/blob/main/precise/skaters/covariance/bufhuber.py'),\n", + " (1677.4827940573975,\n", + " 'buf_huber_pcov_d0_a1_b5_n200',\n", + " 'https://github.com/microprediction/precise/blob/main/precise/skaters/covariance/bufhuber.py'),\n", + " (1652.1133177014583,\n", + " 'buf_sk_glcv_pcov_d0_n100',\n", + " 'https://github.com/microprediction/precise/blob/main/precise/skaters/covariance/bufsk.py'),\n", + " (1624.3358488766835,\n", + " 'buf_huber_pcov_d0_a1_b2_n200',\n", + " 'https://github.com/microprediction/precise/blob/main/precise/skaters/covariance/bufhuber.py'),\n", + " (1593.6566449694371,\n", + " 'buf_emp_pcov_d0_n100',\n", + " 'https://github.com/microprediction/precise/blob/main/precise/skaters/covariance/bufemp.py')]}\n" + ] + } + ] + } + ] +} diff --git a/examples_colab_notebooks/expon_weighted_partial_moments_cov_estimation.ipynb b/examples_colab_notebooks/expon_weighted_partial_moments_cov_estimation.ipynb new file mode 100644 index 00000000..a772c7b5 --- /dev/null +++ b/examples_colab_notebooks/expon_weighted_partial_moments_cov_estimation.ipynb @@ -0,0 +1,185 @@ +{ + "nbformat": 4, + "nbformat_minor": 0, + "metadata": { + "colab": { + "name": "expon_weighted_partial_moments_cov_estimation.ipynb", + "provenance": [], + "authorship_tag": "ABX9TyNWvqIeuENOVE70C3EZcsgX", + "include_colab_link": true + }, + "kernelspec": { + "name": "python3", + "display_name": "Python 3" + }, + "language_info": { + "name": "python" + } + }, + "cells": [ + { + "cell_type": "markdown", + "metadata": { + "id": "view-in-github", + "colab_type": "text" + }, + "source": [ + "\"Open" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "U6Mky28wX5y8" + }, + "outputs": [], + "source": [ + "!pip install git+https://github.com/microprediction/precise.git" + ] + }, + { + "cell_type": "markdown", + "source": [ + "Illustrates use of the precise package\n", + "\n", + "\n", + "\n", + "1. Pick a skater\n", + "2. Run it\n", + "\n" + ], + "metadata": { + "id": "fY3DQOlwX-MU" + } + }, + { + "cell_type": "code", + "source": [ + "from precise.skatertools.syntheticdata.miscellaneous import create_correlated_dataset\n", + "from precise.skaters.covariance.ewapm import ewa_pm_emp_scov_r01 # <- skater\n", + "from pprint import pprint\n", + "\n", + "if __name__=='__main__':\n", + " ys = create_correlated_dataset(n=500)\n", + " s = {} # <-- Note the initialization of state as empty dict\n", + " for y in ys:\n", + " x, x_cov, s = ewa_pm_emp_scov_r01(s=s, y=y)\n", + " pprint(x_cov)" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "Gbi01UFRYJwb", + "outputId": "a8accdd1-3f49-4080-fcbb-40208b247d3c" + }, + "execution_count": 14, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "array([[ 5.12896239, 10.85547503, 3.79888203],\n", + " [10.85547503, 29.63754017, 13.93654593],\n", + " [ 3.79888203, 13.93654593, 8.31146122]])\n" + ] + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "If you care to peek you can look at the state too. In particular, this skater maintains four different covariance matrices using data conditioned on up/down moves. " + ], + "metadata": { + "id": "M2UPPFKeYcTj" + } + }, + { + "cell_type": "code", + "source": [ + "partials = ['cu','du','dl','cl']\n", + "for pt in partials:\n", + " pprint((pt,s[pt]['scov'])) # <-- Partial sample covariance " + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "G2Klm0PPYbUL", + "outputId": "69452018-3f78-4759-877c-c7e9d954bae6" + }, + "execution_count": 12, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "('cu',\n", + " array([[ 5.45911923, 12.51927063, 5.27220785],\n", + " [12.51927063, 32.6342698 , 14.92104009],\n", + " [ 5.27220785, 14.92104009, 7.46873048]]))\n", + "('du',\n", + " array([[ 0. , 0. , 0. ],\n", + " [-0.10545553, 0.00139871, 0.00269523],\n", + " [-0.49235465, -0.1743864 , 0.00976907]]))\n", + "('dl',\n", + " array([[ 0.09095655, 0.09051711, -0.41125336],\n", + " [ 0.19597264, 0.4899051 , 0.04768843],\n", + " [ 0.0811013 , 0.22477006, 0.11572808]]))\n", + "('cl',\n", + " array([[0. , 0. , 0. ],\n", + " [0. , 0.17181845, 0.24622561],\n", + " [0. , 0.24622561, 0.64839917]]))\n" + ] + } + ] + }, + { + "cell_type": "code", + "source": [ + "# The reported cov estimate is almost the sum of these four\n", + "import numpy as np \n", + "c_check = np.zeros((3,3))\n", + "for pt in partials:\n", + " c_check = c_check + s[pt]['scov']\n", + "pprint(c_check)\n", + "print(c_check/x_cov)" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "C92FvAgXbK8T", + "outputId": "4614e31c-567b-4125-d86a-12f77dc0b80d" + }, + "execution_count": 13, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "array([[ 5.55007578, 12.60978774, 4.86095449],\n", + " [12.60978774, 33.29739207, 15.21764935],\n", + " [ 4.86095449, 15.21764935, 8.2426268 ]])\n", + "[[1. 1. 1.]\n", + " [1. 1. 1.]\n", + " [1. 1. 1.]]\n" + ] + } + ] + }, + { + "cell_type": "code", + "source": [ + "" + ], + "metadata": { + "id": "I1Q6B70wb5nN" + }, + "execution_count": null, + "outputs": [] + } + ] +} diff --git a/examples_colab_notebooks/lazypredict_model_portfolio.ipynb b/examples_colab_notebooks/lazypredict_model_portfolio.ipynb new file mode 100644 index 00000000..f7f64498 --- /dev/null +++ b/examples_colab_notebooks/lazypredict_model_portfolio.ipynb @@ -0,0 +1,384 @@ +{ + "nbformat": 4, + "nbformat_minor": 0, + "metadata": { + "colab": { + "name": "lazypredict_model_portfolio.ipynb", + "provenance": [], + "authorship_tag": "ABX9TyP/x6PBq+WIa3YrUK6W85K8", + "include_colab_link": true + }, + "kernelspec": { + "name": "python3", + "display_name": "Python 3" + }, + "language_info": { + "name": "python" + } + }, + "cells": [ + { + "cell_type": "markdown", + "metadata": { + "id": "view-in-github", + "colab_type": "text" + }, + "source": [ + "\"Open" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "u3HDL5HJ7Uyl" + }, + "outputs": [], + "source": [ + "!pip install lazypredict\n", + "!pip install precise\n", + "!pip install --upgrade pandas " + ] + }, + { + "cell_type": "markdown", + "source": [ + "## Using LazyPredict and Precise to construct a portfolio of models \n", + "\n", + "\n", + "* [LazyPredict](https://github.com/shankarpandala/lazypredict) is a package that generates a slew of sklearn models \n", + "* [Precise](https://github.com/microprediction/precise) is a package that builds portfolios. \n", + "\n", + "Let's see if a convex combination (long portfolio) of models performs better than just picking the best out of sample model. I use the data example pulled straight from the LazyPredict README, in turn borrowed from sklearn. " + ], + "metadata": { + "id": "Na-iVvJo7cuK" + } + }, + { + "cell_type": "code", + "source": [ + "from sklearn import datasets\n", + "from sklearn.utils import shuffle\n", + "import numpy as np\n", + "from pprint import pprint\n", + "from lazypredict.Supervised import LazyRegressor" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "mKg4i7Ye73Yp", + "outputId": "838b1691-e302-414f-baf1-c152234b838c" + }, + "execution_count": 1, + "outputs": [ + { + "output_type": "stream", + "name": "stderr", + "text": [ + "/usr/local/lib/python3.7/dist-packages/sklearn/utils/deprecation.py:143: FutureWarning: The sklearn.utils.testing module is deprecated in version 0.22 and will be removed in version 0.24. The corresponding classes / functions should instead be imported from sklearn.utils. Anything that cannot be imported from sklearn.utils is now part of the private API.\n", + " warnings.warn(message, FutureWarning)\n" + ] + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "Here's what we do: \n", + "\n", + "1. Train on X_train, y_train\n", + "2. Select best based on X_test, y_test out of sample performance\n", + "3. Retrain on X_train+X_test\n", + "4. Estimate portfolio using X_test,y_test covariance\n", + "5. Compare the val performance of:\n", + " - The best model from step 2, retrained in step 3.\n", + " - A weighted combination of models from step 4.\n", + "\n", + "\n", + "\n", + "\n", + "\n" + ], + "metadata": { + "id": "AEkC0YOe8xtL" + } + }, + { + "cell_type": "code", + "source": [ + "boston = datasets.load_boston()\n", + "X, y = shuffle(boston.data, boston.target)\n", + "X = X.astype(np.float32)\n", + "n_train = 100\n", + "n_test = 50\n", + "X_train, y_train = X[:n_train], y[:n_train]\n", + "X_test, y_test = X[n_train:(n_train+n_test)], y[n_train:(n_train+n_test)]\n", + "X_val, y_val = X[(n_train+n_test):], y[(n_train+n_test):]\n", + "X_train_and_test = X[:(n_train+n_test)]\n", + "y_train_and_test = y[:(n_train+n_test)]\n", + "\n", + "# Train on some, predict test\n", + "reg1 = LazyRegressor(verbose=0, ignore_warnings=False, custom_metric=None, predictions=True)\n", + "models1, predictions1 = reg1.fit(np.copy(X_train), np.copy(X_test), np.copy(y_train), np.copy(y_test))\n", + "print(models1[:5])\n", + "\n", + "# Train on some, predict validation\n", + "reg2 = LazyRegressor(verbose=0, ignore_warnings=False, custom_metric=None, predictions=True)\n", + "X_train_and_test_copy = np.copy(X_train_and_test)\n", + "X_val_copy = np.copy(X_val)\n", + "models2, predictions2 = reg2.fit(X_train_and_test_copy, X_val_copy, np.copy(y_train_and_test), np.copy(y_val))\n", + "yhat_val = predictions2.values\n", + "print(models2[:5])\n", + "\n", + "# In-sample performance on train\n", + "reg3 = LazyRegressor(verbose=0, ignore_warnings=False, custom_metric=None, predictions=True)\n", + "models3, predictions3 = reg3.fit(np.copy(X_train), np.copy(X_train), np.copy(y_train), np.copy(y_train))\n", + "\n", + "# In-sample performance on train + test\n", + "reg4 = LazyRegressor(verbose=0, ignore_warnings=False, custom_metric=None, predictions=True)\n", + "models4, predictions4 = reg4.fit(np.copy(X_train_and_test), np.copy(X_train_and_test), np.copy(y_train_and_test), np.copy(y_train_and_test))\n", + "\n", + "best_model_1 = models1.index[0] # <-- Best out of sample on test\n", + "best_model_2 = models3.index[0] # <-- Best in sample on train\n", + "best_model_3 = models4.index[0] # <-- Best in sample on train+test\n", + "\n", + "# Train cov on out of sample prediction errors\n", + "print('Creating portfolio ...')\n", + "from precise.skaters.managers.ppomanagers import ppo_sk_glcv_pcov_d0_n100_t0_vol_long_manager as mgr\n", + "s = {}\n", + "yhat_test = np.copy(predictions1.values)\n", + "n_test = len(yhat_test)\n", + "es = [-1]*(n_test-1)+[1]\n", + "for y, y_target,e in zip(yhat_test, y_test,es):\n", + " y_error = np.copy(y-y_target)\n", + " w, s = mgr(s=s, y=y_error, e=e)\n", + "\n", + "w_dict = sorted([(wi,mi) for (wi,mi) in zip(w, models1.index) if wi>0], reverse=True)\n", + "pprint(w_dict)\n", + "\n", + "# Refit models using all the train+test data, and combine\n", + "sum_w = sum(w)\n", + "yhat_weighted = np.dot( yhat_val, w )\n", + "predictions2['>> weighted portfolio of models '] = yhat_weighted\n", + "predictions2['>> best out of sample model (' + best_model_1 + ')'] = predictions2[best_model_1]\n", + "predictions2['>> best in sample i (' + best_model_2 + ')'] = predictions2[best_model_2]\n", + "predictions2['>> best in sample ii (' + best_model_3 + ')'] = predictions2[best_model_3]\n", + "\n", + "val_errors = predictions2.copy()\n", + "for col in predictions2.columns:\n", + " val_errors[col] = predictions2[col] - y_val\n", + "\n", + "sq_errors = val_errors**2\n", + "print(sq_errors.mean().sort_values())\n", + "print('done')\n" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "lDwvX9YD8lr8", + "outputId": "251632ee-68ba-4342-c490-039c05772a3b" + }, + "execution_count": 23, + "outputs": [ + { + "output_type": "stream", + "name": "stderr", + "text": [ + " 71%|███████▏ | 30/42 [00:01<00:00, 15.52it/s]" + ] + }, + { + "output_type": "stream", + "name": "stdout", + "text": [ + "MLPRegressor model failed to execute\n", + "Stochastic Optimizer: Maximum iterations (200) reached and the optimization hasn't converged yet.\n" + ] + }, + { + "output_type": "stream", + "name": "stderr", + "text": [ + "100%|██████████| 42/42 [00:02<00:00, 18.34it/s]\n", + " 2%|▏ | 1/42 [00:00<00:04, 9.58it/s]" + ] + }, + { + "output_type": "stream", + "name": "stdout", + "text": [ + " Adjusted R-Squared R-Squared RMSE Time Taken\n", + "Model \n", + "OrthogonalMatchingPursuitCV 0.77 0.83 3.53 0.04\n", + "RandomForestRegressor 0.76 0.83 3.56 0.23\n", + "PoissonRegressor 0.75 0.82 3.66 0.02\n", + "BaggingRegressor 0.73 0.80 3.84 0.04\n", + "ExtraTreesRegressor 0.72 0.80 3.86 0.15\n" + ] + }, + { + "output_type": "stream", + "name": "stderr", + "text": [ + " 67%|██████▋ | 28/42 [00:01<00:01, 11.76it/s]" + ] + }, + { + "output_type": "stream", + "name": "stdout", + "text": [ + "MLPRegressor model failed to execute\n", + "Stochastic Optimizer: Maximum iterations (200) reached and the optimization hasn't converged yet.\n" + ] + }, + { + "output_type": "stream", + "name": "stderr", + "text": [ + "100%|██████████| 42/42 [00:02<00:00, 16.87it/s]\n", + " 5%|▍ | 2/42 [00:00<00:02, 15.16it/s]" + ] + }, + { + "output_type": "stream", + "name": "stdout", + "text": [ + " Adjusted R-Squared R-Squared RMSE Time Taken\n", + "Model \n", + "GradientBoostingRegressor 0.88 0.88 3.24 0.12\n", + "RandomForestRegressor 0.84 0.85 3.66 0.28\n", + "ExtraTreesRegressor 0.83 0.84 3.85 0.17\n", + "BaggingRegressor 0.83 0.83 3.86 0.04\n", + "AdaBoostRegressor 0.83 0.83 3.88 0.10\n" + ] + }, + { + "output_type": "stream", + "name": "stderr", + "text": [ + " 71%|███████▏ | 30/42 [00:01<00:00, 15.90it/s]" + ] + }, + { + "output_type": "stream", + "name": "stdout", + "text": [ + "MLPRegressor model failed to execute\n", + "Stochastic Optimizer: Maximum iterations (200) reached and the optimization hasn't converged yet.\n" + ] + }, + { + "output_type": "stream", + "name": "stderr", + "text": [ + "100%|██████████| 42/42 [00:02<00:00, 18.48it/s]\n", + " 74%|███████▍ | 31/42 [00:01<00:00, 13.81it/s]" + ] + }, + { + "output_type": "stream", + "name": "stdout", + "text": [ + "MLPRegressor model failed to execute\n", + "Stochastic Optimizer: Maximum iterations (200) reached and the optimization hasn't converged yet.\n" + ] + }, + { + "output_type": "stream", + "name": "stderr", + "text": [ + "100%|██████████| 42/42 [00:02<00:00, 16.92it/s]\n" + ] + }, + { + "output_type": "stream", + "name": "stdout", + "text": [ + "Creating portfolio ...\n", + "[(0.07594000000000001, 'DecisionTreeRegressor'),\n", + " (0.059660000000000005, 'GeneralizedLinearRegressor'),\n", + " (0.055560000000000005, 'KNeighborsRegressor'),\n", + " (0.05206000000000001, 'NuSVR'),\n", + " (0.04846000000000001, 'TransformedTargetRegressor'),\n", + " (0.04558000000000001, 'PoissonRegressor'),\n", + " (0.044770000000000004, 'LarsCV'),\n", + " (0.04420000000000001, 'PassiveAggressiveRegressor'),\n", + " (0.043030000000000006, 'LinearSVR'),\n", + " (0.04299000000000001, 'XGBRegressor'),\n", + " (0.04263000000000001, 'SVR'),\n", + " (0.04241000000000001, 'LinearRegression'),\n", + " (0.04241000000000001, 'GradientBoostingRegressor'),\n", + " (0.04241000000000001, 'DummyRegressor'),\n", + " (0.03783000000000001, 'BayesianRidge'),\n", + " (0.029790000000000004, 'RandomForestRegressor'),\n", + " (0.029210000000000003, 'Ridge'),\n", + " (0.026990000000000004, 'TweedieRegressor'),\n", + " (0.025740000000000002, 'KernelRidge'),\n", + " (0.024570000000000005, 'OrthogonalMatchingPursuitCV'),\n", + " (0.022060000000000003, 'Lars'),\n", + " (0.019960000000000002, 'ElasticNet'),\n", + " (0.019730000000000004, 'GaussianProcessRegressor'),\n", + " (0.018320000000000003, 'LassoLarsCV'),\n", + " (0.014460000000000002, 'RANSACRegressor'),\n", + " (0.014240000000000001, 'BaggingRegressor'),\n", + " (0.009740000000000002, 'GammaRegressor'),\n", + " (0.009420000000000001, 'HuberRegressor'),\n", + " (0.007860000000000002, 'LassoLarsIC'),\n", + " (0.005240000000000001, 'SGDRegressor'),\n", + " (0.0027300000000000002, 'LassoCV')]\n", + "GradientBoostingRegressor 10.50\n", + "RandomForestRegressor 13.43\n", + "ExtraTreesRegressor 14.79\n", + "BaggingRegressor 14.87\n", + "AdaBoostRegressor 15.02\n", + "XGBRegressor 17.27\n", + "HistGradientBoostingRegressor 18.90\n", + "LGBMRegressor 19.66\n", + "PoissonRegressor 19.88\n", + ">> weighted portfolio of models 21.33\n", + "KNeighborsRegressor 26.53\n", + "Ridge 26.81\n", + "RidgeCV 26.81\n", + "TransformedTargetRegressor 26.83\n", + "LinearRegression 26.83\n", + "Lars 26.83\n", + "BayesianRidge 26.86\n", + "LassoCV 26.87\n", + "LassoLarsCV 26.94\n", + "LarsCV 26.94\n", + "ElasticNetCV 26.97\n", + "DecisionTreeRegressor 26.99\n", + "HuberRegressor 27.34\n", + "SGDRegressor 27.51\n", + "LinearSVR 28.58\n", + "GammaRegressor 30.47\n", + ">> best out of sample model (OrthogonalMatchingPursuitCV) 30.97\n", + "OrthogonalMatchingPursuitCV 30.97\n", + "ExtraTreeRegressor 32.30\n", + "LassoLarsIC 32.72\n", + "TweedieRegressor 33.24\n", + "GeneralizedLinearRegressor 33.24\n", + "ElasticNet 33.47\n", + "Lasso 33.85\n", + "PassiveAggressiveRegressor 34.19\n", + "RANSACRegressor 43.18\n", + "NuSVR 49.87\n", + "SVR 50.38\n", + "OrthogonalMatchingPursuit 52.55\n", + "DummyRegressor 89.74\n", + "LassoLars 89.74\n", + ">> best in sample i (GaussianProcessRegressor) 152.84\n", + "GaussianProcessRegressor 152.84\n", + ">> best in sample ii (GaussianProcessRegressor) 152.84\n", + "KernelRidge 527.16\n", + "dtype: float64\n", + "done\n" + ] + } + ] + } + ] +} diff --git a/examples_colab_notebooks/list_all_cov_methods.ipynb b/examples_colab_notebooks/list_all_cov_methods.ipynb new file mode 100644 index 00000000..23a02967 --- /dev/null +++ b/examples_colab_notebooks/list_all_cov_methods.ipynb @@ -0,0 +1,126 @@ +{ + "nbformat": 4, + "nbformat_minor": 0, + "metadata": { + "colab": { + "name": "list_all_cov_methods.ipynb", + "provenance": [], + "authorship_tag": "ABX9TyNvEjE0t01CzeYRN1vgxESG", + "include_colab_link": true + }, + "kernelspec": { + "name": "python3", + "display_name": "Python 3" + }, + "language_info": { + "name": "python" + } + }, + "cells": [ + { + "cell_type": "markdown", + "metadata": { + "id": "view-in-github", + "colab_type": "text" + }, + "source": [ + "\"Open" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "v-nV0Me7W-M6" + }, + "outputs": [], + "source": [ + "!pip install git+https://github.com/microprediction/precise.git" + ] + }, + { + "cell_type": "markdown", + "source": [ + "(package is pretty fluid so grab latest)" + ], + "metadata": { + "id": "37tVjouhXJFm" + } + }, + { + "cell_type": "code", + "source": [ + "from pprint import pprint \n", + "from precise.skaters.covariance.allcovskaters import cov_skater_manifest\n", + "pprint(cov_skater_manifest())" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "clyXxbhmXP9u", + "outputId": "d65f0e8c-7a70-4ae3-8ea4-c85030f6c341" + }, + "execution_count": 2, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "{'buf_emp_pcov_d0_n100': 'https://github.com/microprediction/precise/blob/main/precise/skaters/covariance/bufemp.py',\n", + " 'buf_emp_pcov_d0_n20': 'https://github.com/microprediction/precise/blob/main/precise/skaters/covariance/bufemp.py',\n", + " 'buf_emp_pcov_d0_n50': 'https://github.com/microprediction/precise/blob/main/precise/skaters/covariance/bufemp.py',\n", + " 'buf_emp_pcov_d1_n100': 'https://github.com/microprediction/precise/blob/main/precise/skaters/covariance/bufemp.py',\n", + " 'buf_emp_pcov_d1_n20': 'https://github.com/microprediction/precise/blob/main/precise/skaters/covariance/bufemp.py',\n", + " 'buf_huber_pcov_d0_a05_b2_n100': 'https://github.com/microprediction/precise/blob/main/precise/skaters/covariance/bufhuber.py',\n", + " 'buf_huber_pcov_d0_a05_b2_n200': 'https://github.com/microprediction/precise/blob/main/precise/skaters/covariance/bufhuber.py',\n", + " 'buf_huber_pcov_d0_a05_b2_n50': 'https://github.com/microprediction/precise/blob/main/precise/skaters/covariance/bufhuber.py',\n", + " 'buf_huber_pcov_d0_a1_b2_n100': 'https://github.com/microprediction/precise/blob/main/precise/skaters/covariance/bufhuber.py',\n", + " 'buf_huber_pcov_d0_a1_b2_n200': 'https://github.com/microprediction/precise/blob/main/precise/skaters/covariance/bufhuber.py',\n", + " 'buf_huber_pcov_d0_a1_b2_n50': 'https://github.com/microprediction/precise/blob/main/precise/skaters/covariance/bufhuber.py',\n", + " 'buf_huber_pcov_d0_a1_b5_n100': 'https://github.com/microprediction/precise/blob/main/precise/skaters/covariance/bufhuber.py',\n", + " 'buf_huber_pcov_d0_a1_b5_n200': 'https://github.com/microprediction/precise/blob/main/precise/skaters/covariance/bufhuber.py',\n", + " 'buf_huber_pcov_d0_a1_b5_n50': 'https://github.com/microprediction/precise/blob/main/precise/skaters/covariance/bufhuber.py',\n", + " 'buf_huber_pcov_d1_a1_b2_n100': 'https://github.com/microprediction/precise/blob/main/precise/skaters/covariance/bufhuber.py',\n", + " 'buf_huber_pcov_d1_a1_b2_n50': 'https://github.com/microprediction/precise/blob/main/precise/skaters/covariance/bufhuber.py',\n", + " 'buf_sk_ec_pcov_d1_n100': 'https://github.com/microprediction/precise/blob/main/precise/skaters/covariance/bufsk.py',\n", + " 'buf_sk_emp_pcov_d0_n100': 'https://github.com/microprediction/precise/blob/main/precise/skaters/covariance/bufsk.py',\n", + " 'buf_sk_gl_pcov_d0_n100': 'https://github.com/microprediction/precise/blob/main/precise/skaters/covariance/bufsk.py',\n", + " 'buf_sk_gl_pcov_d1_n100': 'https://github.com/microprediction/precise/blob/main/precise/skaters/covariance/bufsk.py',\n", + " 'buf_sk_glcv_pcov_d0_n100': 'https://github.com/microprediction/precise/blob/main/precise/skaters/covariance/bufsk.py',\n", + " 'buf_sk_glcv_pcov_d1_n100': 'https://github.com/microprediction/precise/blob/main/precise/skaters/covariance/bufsk.py',\n", + " 'buf_sk_ld_pcov_d0_n100': 'https://github.com/microprediction/precise/blob/main/precise/skaters/covariance/bufsk.py',\n", + " 'buf_sk_ld_pcov_d1_n100': 'https://github.com/microprediction/precise/blob/main/precise/skaters/covariance/bufsk.py',\n", + " 'buf_sk_mcd_pcov_d0_n100': 'https://github.com/microprediction/precise/blob/main/precise/skaters/covariance/bufsk.py',\n", + " 'buf_sk_mcd_pcov_d1_n100': 'https://github.com/microprediction/precise/blob/main/precise/skaters/covariance/bufsk.py',\n", + " 'buf_sk_oas_pcov_d0_n100': 'https://github.com/microprediction/precise/blob/main/precise/skaters/covariance/bufsk.py',\n", + " 'buf_sk_oas_pcov_d1_n100': 'https://github.com/microprediction/precise/blob/main/precise/skaters/covariance/bufsk.py',\n", + " 'ewa_emp_pcov_d0_r01': 'https://github.com/microprediction/precise/blob/main/precise/skaters/covariance/ewaemp.py',\n", + " 'ewa_emp_pcov_d0_r02': 'https://github.com/microprediction/precise/blob/main/precise/skaters/covariance/ewaemp.py',\n", + " 'ewa_emp_pcov_d0_r05': 'https://github.com/microprediction/precise/blob/main/precise/skaters/covariance/ewaemp.py',\n", + " 'ewa_emp_pcov_d0_r10': 'https://github.com/microprediction/precise/blob/main/precise/skaters/covariance/ewaemp.py',\n", + " 'ewa_emp_pcov_d1_r01': 'https://github.com/microprediction/precise/blob/main/precise/skaters/covariance/ewaemp.py',\n", + " 'ewa_emp_pcov_d1_r02': 'https://github.com/microprediction/precise/blob/main/precise/skaters/covariance/ewaemp.py',\n", + " 'ewa_emp_pcov_d1_r05': 'https://github.com/microprediction/precise/blob/main/precise/skaters/covariance/ewaemp.py',\n", + " 'ewa_emp_pcov_d1_r10': 'https://github.com/microprediction/precise/blob/main/precise/skaters/covariance/ewaemp.py',\n", + " 'ewa_lw_scov_d0_r01': 'https://github.com/microprediction/precise/blob/main/precise/skaters/covariance/ewalw.py',\n", + " 'ewa_lw_scov_d0_r02': 'https://github.com/microprediction/precise/blob/main/precise/skaters/covariance/ewalw.py',\n", + " 'ewa_lw_scov_d1_r01': 'https://github.com/microprediction/precise/blob/main/precise/skaters/covariance/ewalw.py',\n", + " 'ewa_lw_scov_d1_r02': 'https://github.com/microprediction/precise/blob/main/precise/skaters/covariance/ewalw.py',\n", + " 'ewa_lz_scov_d0_rg005_rl01_n100': 'https://github.com/microprediction/precise/blob/main/precise/skaters/covariance/ewalz.py',\n", + " 'ewa_lz_scov_d0_rg005_rl02_n50': 'https://github.com/microprediction/precise/blob/main/precise/skaters/covariance/ewalz.py',\n", + " 'ewa_lz_scov_d0_rg01_rl01_n100': 'https://github.com/microprediction/precise/blob/main/precise/skaters/covariance/ewalz.py',\n", + " 'ewa_pm_emp_scov_r01': 'https://github.com/microprediction/precise/blob/main/precise/skaters/covariance/ewapm.py',\n", + " 'ewa_pm_emp_scov_r01_t0': 'https://github.com/microprediction/precise/blob/main/precise/skaters/covariance/ewapm.py',\n", + " 'ewa_pm_emp_scov_r02': 'https://github.com/microprediction/precise/blob/main/precise/skaters/covariance/ewapm.py',\n", + " 'ewa_pm_emp_scov_r02_t0': 'https://github.com/microprediction/precise/blob/main/precise/skaters/covariance/ewapm.py',\n", + " 'ewa_pm_emp_scov_r05': 'https://github.com/microprediction/precise/blob/main/precise/skaters/covariance/ewapm.py',\n", + " 'ewa_pm_emp_scov_r05_t0': 'https://github.com/microprediction/precise/blob/main/precise/skaters/covariance/ewapm.py',\n", + " 'run_emp_pcov_d0': 'https://github.com/microprediction/precise/blob/main/precise/skaters/covariance/runemp.py',\n", + " 'run_emp_pcov_d1': 'https://github.com/microprediction/precise/blob/main/precise/skaters/covariance/runemp.py'}\n" + ] + } + ] + } + ] +} diff --git a/examples_colab_notebooks/luck_versus_skill_m6.ipynb b/examples_colab_notebooks/luck_versus_skill_m6.ipynb new file mode 100644 index 00000000..9451d164 --- /dev/null +++ b/examples_colab_notebooks/luck_versus_skill_m6.ipynb @@ -0,0 +1,1134 @@ +{ + "nbformat": 4, + "nbformat_minor": 0, + "metadata": { + "colab": { + "provenance": [], + "authorship_tag": "ABX9TyMBaB2AFjtVH+jpB14Ko/VS", + "include_colab_link": true + }, + "kernelspec": { + "name": "python3", + "display_name": "Python 3" + }, + "language_info": { + "name": "python" + } + }, + "cells": [ + { + "cell_type": "markdown", + "metadata": { + "id": "view-in-github", + "colab_type": "text" + }, + "source": [ + "\"Open" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "6KK17Jsoxray" + }, + "outputs": [], + "source": [ + "!pip install --upgrade git+https://github.com/microprediction/precise.git" + ] + }, + { + "cell_type": "markdown", + "source": [ + "**Luck versus skill in the M6 Forecasting Competition**" + ], + "metadata": { + "id": "GBYogDqOxtQD" + } + }, + { + "cell_type": "code", + "source": [ + "from precise.skatertools.syntheticdata.factor import create_factor_dataset\n", + "n_dim = 100\n", + "n_train = 5000\n", + "n_test = 5000\n", + "X = create_factor_dataset(n_train+n_test, n_dim)\n", + "X_train = X[:n_train]\n", + "X_test = X[n_train:]\n", + "X_test[:2,:5]" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "cWemSitfx3NA", + "outputId": "b052bc5a-3cad-418b-d998-9f2c7e45b11e" + }, + "execution_count": 3, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "array([[-0.58497763, 1.73311784, -0.58108863, -2.25389507, 0.81054599],\n", + " [-1.2741325 , 0.9157971 , -2.86096307, -0.74286836, 0.53774385]])" + ] + }, + "metadata": {}, + "execution_count": 3 + } + ] + }, + { + "cell_type": "code", + "source": [ + "import numpy as np \n", + "from precise.skatertools.m6.quintileprobabilities import mvn_quintile_probabilities\n", + "\n", + "def estimate_quintile_probs(n_learn):\n", + " np.random.shuffle(X_train)\n", + " cov = np.cov(X_train[:n_learn,:], rowvar=False)\n", + " return mvn_quintile_probabilities(sgma=cov, n_samples=100*1000)\n", + "\n", + "# For example...\n", + "p1 = estimate_quintile_probs(n_learn=100)\n", + "p2 = estimate_quintile_probs(n_learn=120)\n" + ], + "metadata": { + "id": "Yvtbpdmez3L8" + }, + "execution_count": 4, + "outputs": [] + }, + { + "cell_type": "code", + "source": [ + "# Convert the test data set into quintile results\n", + "from precise.skatertools.m6.quintileprobabilities import scores_to_quintiles\n", + "qin_test = scores_to_quintiles(X_test)\n", + "out_test = [ [] for _ in range(5)]\n", + "len(qin_test)\n", + "qin_test[0][:12]\n" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "ZUTj7MBy61kQ", + "outputId": "7e5a57e6-801b-4443-a513-02a1dd95ab81" + }, + "execution_count": 5, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "array([1, 4, 1, 0, 3, 1, 3, 2, 2, 2, 2, 0])" + ] + }, + "metadata": {}, + "execution_count": 5 + } + ] + }, + { + "cell_type": "code", + "source": [ + "def win_record(p1,p2,n_test):\n", + " wins1 = list()\n", + " for q in qin_test[:n_test]:\n", + " brier_sum_1 = 0 \n", + " brier_sum_2 = 0\n", + " for i,qi in enumerate(q):\n", + " # qi is realized quintile for asset i\n", + " qi_hot = [0 for _ in range(5)]\n", + " qi_hot[qi] = 1 \n", + " pi1 = [ p1[j][i] for j in range(5) ]\n", + " pi2 = [ p2[j][i] for j in range(5) ]\n", + " brier1 = np.linalg.norm( np.array(qi_hot) - np.array(pi1) )\n", + " brier2 = np.linalg.norm( np.array(qi_hot) - np.array(pi2) )\n", + " brier_sum_1 += brier1\n", + " brier_sum_2 += brier2\n", + " wins1.append(brier_sum_1months/2+0.001 else 0.5 if abs(sum(c)-months/2)<0.001 else 0 for c in chunks ]\n", + "\n", + "list(chunk(range(12),3))" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "GwOFR8LJED-0", + "outputId": "a591320e-f898-4b54-f488-178c39d69608" + }, + "execution_count": 16, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "[(0, 1, 2), (3, 4, 5), (6, 7, 8), (9, 10, 11)]" + ] + }, + "metadata": {}, + "execution_count": 16 + } + ] + }, + { + "cell_type": "code", + "source": [ + "# How often would one competitor beat another in the M6 rank forecasts? \n", + "\n", + "wps12 = list()\n", + "wps3 = list()\n", + "for _ in range(1000):\n", + " p1 = estimate_quintile_probs(n_learn=25)\n", + " p2 = estimate_quintile_probs(n_learn=5000)\n", + " wr = win_record(p1, p2, n_test=4992)\n", + " wps12.extend(beat_down(wr, months=12))\n", + " wps3.extend(beat_down(wr, months=3))\n", + " if False:\n", + " print({'wr':wr,'wps12':wps12,'wps3':wps3})\n", + " print({'12':np.mean(wps12),'3':np.mean(wps3),'n3':len(wps3)})\n", + "\n", + "\n" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "ysQTtJqYB0Yx", + "outputId": "a923f8b5-83ea-4850-d2d5-e4658c3c9d4b" + }, + "execution_count": null, + "outputs": [ + { + "metadata": { + "tags": null + }, + "name": "stdout", + "output_type": "stream", + "text": [ + "{'12': 0.08533653846153846, '3': 0.2361778846153846, 'n3': 1664}\n", + "{'12': 0.15504807692307693, '3': 0.2926682692307692, 'n3': 3328}\n", + "{'12': 0.16466346153846154, '3': 0.3010817307692308, 'n3': 4992}\n", + "{'12': 0.15745192307692307, '3': 0.29627403846153844, 'n3': 6656}\n", + "{'12': 0.1485576923076923, '3': 0.2875, 'n3': 8320}\n", + "{'12': 0.16306089743589744, '3': 0.29667467948717946, 'n3': 9984}\n", + "{'12': 0.16260302197802198, '3': 0.29447115384615385, 'n3': 11648}\n", + "{'12': 0.1603064903846154, '3': 0.2930438701923077, 'n3': 13312}\n", + "{'12': 0.14970619658119658, '3': 0.28338675213675213, 'n3': 14976}\n", + "{'12': 0.1467548076923077, '3': 0.2820913461538462, 'n3': 16640}\n", + "{'12': 0.14423076923076922, '3': 0.28086756993006995, 'n3': 18304}\n", + "{'12': 0.14022435897435898, '3': 0.27754407051282054, 'n3': 19968}\n", + "{'12': 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"\n", + "- P(25) beats P(5000) 27% of the time" + ], + "metadata": { + "id": "Kkn9zNL7g0gs" + } + }, + { + "cell_type": "code", + "source": [], + "metadata": { + "id": "AJ3_CZ3f8uLG" + }, + "execution_count": null, + "outputs": [] + } + ] +} \ No newline at end of file diff --git a/examples_colab_notebooks/manager_elo_analysis.ipynb b/examples_colab_notebooks/manager_elo_analysis.ipynb new file mode 100644 index 00000000..2829cc3d --- /dev/null +++ b/examples_colab_notebooks/manager_elo_analysis.ipynb @@ -0,0 +1,2769 @@ +{ + "nbformat": 4, + "nbformat_minor": 0, + "metadata": { + "colab": { + "name": "manager_elo_analysis.ipynb", + "provenance": [], + "authorship_tag": "ABX9TyO/WpHFvCNCGfUoPhfnQ9vE", + "include_colab_link": true + }, + "kernelspec": { + "name": "python3", + "display_name": "Python 3" + }, + "language_info": { + "name": "python" + }, + "widgets": { + "application/vnd.jupyter.widget-state+json": { + "4a891d29e2bf4849a839120b2dcd9201": { + "model_module": 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Trying feature_importances_\n" + ] + }, + { + "output_type": "display_data", + "data": { + "text/plain": "
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"!pip install catboost" + ], + "metadata": { + "id": "m9WAJsrmaZcc" + }, + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "code", + "source": [ + "from pycaret.regression import *" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "q3T-PUTVK2ZZ", + "outputId": "6bc9ede0-e238-48db-e5e6-b1012ef2fb35" + }, + "execution_count": 1, + "outputs": [ + { + "output_type": "stream", + "name": "stderr", + "text": [ + "WARNING:logs:No module named 'cuml'.\n", + "'cuml' is a soft dependency and not included in the pycaret installation. Please run: `pip install cuml` to install.\n", + "WARNING:logs:No module named 'cuml'.\n", + "'cuml' is a soft dependency and not included in the pycaret installation. Please run: `pip install cuml` to install.\n", + "WARNING:logs:No module named 'cuml'.\n", + "'cuml' is a soft dependency and not included in the pycaret installation. Please run: `pip install cuml` to install.\n", + "WARNING:logs:No module named 'cuml'.\n", + "'cuml' is a soft dependency and not included in the pycaret installation. Please run: `pip install cuml` to install.\n" + ] + } + ] + }, + { + "cell_type": "code", + "source": [ + "import pandas as pd\n", + "CSV = 'https://raw.githubusercontent.com/microprediction/precise/main/precise/skatervaluation/battleresults/example_manager_regressor_frame.csv'\n", + "df = pd.read_csv(CSV)\n", + "print(df[:2].transpose())" + ], + "metadata": { + "id": "ngJPPimWOWQh", + "colab": { + "base_uri": "https://localhost:8080/" + }, + "outputId": "74bd85b1-4ac4-4f4a-8090-fd93b6b243ae" + }, + "execution_count": 93, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + " 0 1\n", + "weakxz_hot 0.00000 0.000000\n", + "sk_hot 0.00000 0.000000\n", + "weak_hot 0.00000 0.000000\n", + "sharpe_hot 0.00000 0.000000\n", + "tzero_hot 0.00000 1.000000\n", + "mcd_hot 0.00000 0.000000\n", + "d_ord NaN NaN\n", + "lw_hot 0.00000 0.000000\n", + "hrp_hot 0.00000 0.000000\n", + "diagxx_hot 0.00000 0.000000\n", + "h_ord NaN NaN\n", + "g_ord 50.00000 0.000000\n", + "pm_hot 0.00000 1.000000\n", + "glcv_hot 0.00000 0.000000\n", + "ldp_hot 0.00000 0.000000\n", + "l_ord NaN NaN\n", + "diag_hot 0.00000 0.000000\n", + "weakxy_hot 0.00000 1.000000\n", + "ewa_hot 1.00000 0.000000\n", + "volxx_hot 1.00000 0.000000\n", + "quad_hot 0.00000 0.000000\n", + "ppo_hot 0.00000 0.000000\n", + "r_ord 50.00000 50.000000\n", + "equal_hot 0.00000 0.000000\n", + "s_ord 5.00000 5.000000\n", + "vol_hot 0.00000 0.000000\n", + "p_ord NaN NaN\n", + "diagxy_hot 0.00000 0.000000\n", + "rp_hot 0.00000 0.000000\n", + "molyboga_hot 0.00000 0.000000\n", + "n_ord 25.00000 25.000000\n", + "slurp_hot 0.00000 0.000000\n", + "schur_hot 1.00000 1.000000\n", + "volxy_hot 1.00000 0.000000\n", + "weakxx_hot 0.00000 1.000000\n", + "elo 1603.72972 1600.840693\n" + ] + } + ] + }, + { + "cell_type": "code", + "source": [ + "# Filter on things we are pretty sure are good" + ], + "metadata": { + "id": "TbvGp9-Yh4n2" + }, + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "code", + "source": [ + "good = ['schur_hot','hrp_hot','weakxy_hot', 'weakxx_hot','volxy_hot','rp_hot','s_ord','h_ord','ewa_hot','pm_hot']\n", + "bad = ['ldp_hot','quad_hot','glcv_hot','diagxy_hot','diagxx_hot']\n", + "results = df[good+['elo']].groupby(good).mean().reset_index()\n", + "results.sort_values('elo',ascending=False)" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 300 + }, + "id": "K5A4I3chO743", + "outputId": "422f1dee-3150-4547-b2d3-cee1ca6764fd" + }, + "execution_count": 95, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + " schur_hot hrp_hot weakxy_hot weakxx_hot volxy_hot rp_hot s_ord \\\n", + "6 1.0 0.0 1.0 1.0 0.0 0.0 100.0 \n", + "1 1.0 0.0 1.0 1.0 0.0 0.0 25.0 \n", + "5 1.0 0.0 1.0 1.0 0.0 0.0 25.0 \n", + "4 1.0 0.0 1.0 1.0 0.0 0.0 25.0 \n", + "3 1.0 0.0 1.0 1.0 0.0 0.0 25.0 \n", + "7 1.0 0.0 1.0 1.0 0.0 0.0 100.0 \n", + "0 1.0 0.0 1.0 1.0 0.0 0.0 25.0 \n", + "2 1.0 0.0 1.0 1.0 0.0 0.0 25.0 \n", + "\n", + " h_ord ewa_hot pm_hot elo \n", + "6 500.0 0.0 1.0 1561.310477 \n", + "1 125.0 1.0 0.0 1546.060272 \n", + "5 500.0 1.0 0.0 1543.805215 \n", + "4 500.0 0.0 1.0 1540.036976 \n", + "3 150.0 1.0 0.0 1536.879873 \n", + "7 500.0 1.0 0.0 1536.394294 \n", + "0 125.0 0.0 1.0 1531.754501 \n", + "2 150.0 0.0 1.0 1514.088155 " + ], + "text/html": [ + "\n", + "
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\n" + }, + "metadata": { + "needs_background": "light" + } + } + ] + }, + { + "cell_type": "code", + "source": [ + "df_schur_or_hrp = df[ ( (df['schur_hot']==1) | (df['hrp_hot']==1)) ]\n", + "df_schur_or_hrp = df[ ( (df['hrp_hot']==1) ) | ( (df['schur_hot']==1)) & ((df['weakxy_hot']==1) & (df['weakxy_hot']==1)) ]\n", + "df_schur_or_hrp.fillna(value=-100,inplace=True)\n", + "ax = df_schur_or_hrp[['g_ord','elo']].plot.scatter(x='g_ord',y='elo')\n", + "ax.set_xlabel('Gamma parameter')\n", + "ax.set_ylabel('Elo rating')\n", + "df_schur_or_hrp[['g_ord','elo']].groupby('g_ord').mean()" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 972 + }, + "id": "dfZipHKSYdT8", + "outputId": "5588332e-01f0-4f04-a134-3bce2c06533d" + }, + "execution_count": 87, + "outputs": [ + { + "output_type": "stream", + "name": "stderr", + "text": [ + "WARNING:logs:/usr/local/lib/python3.7/dist-packages/pandas/core/frame.py:5182: SettingWithCopyWarning: \n", + "A value is trying to be set on a copy of a slice from a DataFrame\n", + "\n", + "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n", + " downcast=downcast,\n", + "\n", + "WARNING:matplotlib.axes._axes:*c* argument looks like a single numeric RGB or RGBA sequence, which should be avoided as value-mapping will have precedence in case its length matches with *x* & *y*. Please use the *color* keyword-argument or provide a 2D array with a single row if you intend to specify the same RGB or RGBA value for all points.\n" + ] + }, + { + "output_type": "execute_result", + "data": { + "text/plain": [ + " elo\n", + "g_ord \n", + "-100.0 1549.741996\n", + " 0.0 1566.121473\n", + " 10.0 1586.483583\n", + " 50.0 1551.105052\n", + " 100.0 1550.093701" + ], + "text/html": [ + "\n", + "
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\n" + }, + "metadata": { + "needs_background": "light" + } + } + ] + }, + { + "cell_type": "code", + "source": [ + "from pycaret.regression import *" + ], + "metadata": { + "id": "HgkOHkgnc4ST" + }, + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "code", + "source": [ + "clf1 = setup(data = dg, target = 'elo')" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 1000 + }, + "id": "ilxsjYtnbkwJ", + "outputId": "6d7be709-ec18-43ad-cf01-cc43ff7f6335" + }, + "execution_count": 17, + "outputs": [ + { + "output_type": "stream", + "name": "stderr", + "text": [ + "INFO:logs:PyCaret RegressionExperiment\n", + "INFO:logs:Logging name: reg-default-name\n", + "INFO:logs:ML Usecase: MLUsecase.REGRESSION\n", + "INFO:logs:version 3.0.0.rc3\n", + "INFO:logs:Initializing setup()\n", + "INFO:logs:self.USI: bbba\n", + "INFO:logs:self.variable_keys: {'_all_models_internal', 'transform_target_method_param', 'log_plots_param', 'transform_target_param', 'html_param', 'USI', '_all_metrics', 'fold_groups_param', 'target_param', 'X_test', '_all_models', 'logging_param', 'memory', 'fold_shuffle_param', 'seed', 'y_train', 'n_jobs_param', '_available_plots', 'gpu_param', 'data', 'y_test', 'display_container', 'pipeline', 'y', 'exp_name_log', 'X_train', '_ml_usecase', '_gpu_n_jobs_param', 'fold_generator', 'variable_keys', 'idx', 'exp_id', 'X', 'master_model_container'}\n", + "INFO:logs:Checking environment\n", + "INFO:logs:python_version: 3.7.13\n", + "INFO:logs:python_build: ('default', 'Apr 24 2022 01:04:09')\n", + "INFO:logs:machine: x86_64\n", + "INFO:logs:platform: Linux-5.4.188+-x86_64-with-Ubuntu-18.04-bionic\n", + "INFO:logs:Memory: svmem(total=13617745920, available=11707613184, percent=14.0, used=1748492288, free=6586318848, active=2180419584, inactive=4451143680, buffers=246681600, cached=5036253184, shared=1232896, slab=313597952)\n", + "INFO:logs:Physical Core: 1\n", + "INFO:logs:Logical Core: 2\n", + "INFO:logs:Checking libraries\n", + "INFO:logs:System:\n", + "INFO:logs: python: 3.7.13 (default, Apr 24 2022, 01:04:09) [GCC 7.5.0]\n", + "INFO:logs:executable: /usr/bin/python3\n", + "INFO:logs: machine: Linux-5.4.188+-x86_64-with-Ubuntu-18.04-bionic\n", + "INFO:logs:PyCaret required dependencies:\n", + "INFO:logs: pip: 21.1.3\n", + "INFO:logs: setuptools: 57.4.0\n", + "INFO:logs: pycaret: 3.0.0.rc3\n", + "INFO:logs: IPython: 7.9.0\n", + "INFO:logs: ipywidgets: 7.7.1\n", + "INFO:logs: tqdm: 4.64.0\n", + "INFO:logs: numpy: 1.21.6\n", + "INFO:logs: pandas: 1.3.5\n", + "INFO:logs: jinja2: 2.11.3\n", + "INFO:logs: scipy: 1.7.3\n", + "INFO:logs: joblib: 1.1.0\n", + "INFO:logs: sklearn: 1.0.2\n", + "INFO:logs: pyod: Installed but version unavailable\n", + "INFO:logs: imblearn: 0.8.1\n", + "INFO:logs: category_encoders: 2.5.0\n", + "INFO:logs: lightgbm: 3.3.2\n", + "INFO:logs: numba: 0.55.2\n", + "INFO:logs: requests: 2.28.1\n", + "INFO:logs: matplotlib: 3.5.3\n", + "INFO:logs: scikitplot: 0.3.7\n", + "INFO:logs: yellowbrick: 1.4\n", + "INFO:logs: plotly: 5.5.0\n", + "INFO:logs: kaleido: 0.2.1\n", + "INFO:logs: statsmodels: 0.13.2\n", + "INFO:logs: sktime: 0.11.4\n", + "INFO:logs: tbats: Installed but version unavailable\n", + "INFO:logs: pmdarima: 2.0.1\n", + "INFO:logs: psutil: 5.9.1\n", + "INFO:logs:None\n", + "INFO:logs:Set up data.\n", + "INFO:logs:Set up train/test split.\n", + "INFO:logs:Set up folding strategy.\n", + "INFO:logs:Assigning column types.\n", + "INFO:logs:Engine successfully changes for model 'lr' to 'sklearn'.\n", + "INFO:logs:Engine for model 'lasso' has not been set explicitly, hence returning None.\n", + "INFO:logs:Engine for model 'ridge' has not been set explicitly, hence returning None.\n", + "INFO:logs:Engine for model 'en' has not been set explicitly, hence returning None.\n", + "INFO:logs:Engine for model 'svm' has not been set explicitly, hence returning None.\n", + "INFO:logs:Engine for model 'knn' has not been set explicitly, hence returning None.\n", + "INFO:logs:Soft dependency imported: xgboost: 0.90\n", + "WARNING:logs:Wrong xgboost version. Expected xgboost>=1.1.0, got xgboost==0.90\n", + "INFO:logs:Soft dependency imported: catboost: 1.0.6\n", + "INFO:logs:Engine for model 'lasso' has not been set explicitly, hence returning None.\n", + "INFO:logs:Engine for model 'ridge' has not been set explicitly, hence returning None.\n", + "INFO:logs:Engine for model 'en' has not been set explicitly, hence returning None.\n", + "INFO:logs:Engine for model 'svm' has not been set explicitly, hence returning None.\n", + "INFO:logs:Engine for model 'knn' has not been set explicitly, hence returning None.\n", + "INFO:logs:Soft dependency imported: xgboost: 0.90\n", + "WARNING:logs:Wrong xgboost version. Expected xgboost>=1.1.0, got xgboost==0.90\n", + "INFO:logs:Soft dependency imported: catboost: 1.0.6\n", + "INFO:logs:Engine successfully changes for model 'lasso' to 'sklearn'.\n", + "INFO:logs:Engine for model 'ridge' has not been set explicitly, hence returning None.\n", + "INFO:logs:Engine for model 'en' has not been set explicitly, hence returning None.\n", + "INFO:logs:Engine for model 'svm' has not been set explicitly, hence returning None.\n", + "INFO:logs:Engine for model 'knn' has not been set explicitly, hence returning None.\n", + "INFO:logs:Soft dependency imported: xgboost: 0.90\n", + "WARNING:logs:Wrong xgboost version. Expected xgboost>=1.1.0, got xgboost==0.90\n", + "INFO:logs:Soft dependency imported: catboost: 1.0.6\n", + "INFO:logs:Engine for model 'ridge' has not been set explicitly, hence returning None.\n", + "INFO:logs:Engine for model 'en' has not been set explicitly, hence returning None.\n", + "INFO:logs:Engine for model 'svm' has not been set explicitly, hence returning None.\n", + "INFO:logs:Engine for model 'knn' has not been set explicitly, hence returning None.\n", + "INFO:logs:Soft dependency imported: xgboost: 0.90\n", + "WARNING:logs:Wrong xgboost version. Expected xgboost>=1.1.0, got xgboost==0.90\n", + "INFO:logs:Soft dependency imported: catboost: 1.0.6\n", + "INFO:logs:Engine successfully changes for model 'ridge' to 'sklearn'.\n", + "INFO:logs:Engine for model 'en' has not been set explicitly, hence returning None.\n", + "INFO:logs:Engine for model 'svm' has not been set explicitly, hence returning None.\n", + "INFO:logs:Engine for model 'knn' has not been set explicitly, hence returning None.\n", + "INFO:logs:Soft dependency imported: xgboost: 0.90\n", + "WARNING:logs:Wrong xgboost version. Expected xgboost>=1.1.0, got xgboost==0.90\n", + "INFO:logs:Soft dependency imported: catboost: 1.0.6\n", + "INFO:logs:Engine for model 'en' has not been set explicitly, hence returning None.\n", + "INFO:logs:Engine for model 'svm' has not been set explicitly, hence returning None.\n", + "INFO:logs:Engine for model 'knn' has not been set explicitly, hence returning None.\n", + "INFO:logs:Soft dependency imported: xgboost: 0.90\n", + "WARNING:logs:Wrong xgboost version. Expected xgboost>=1.1.0, got xgboost==0.90\n", + "INFO:logs:Soft dependency imported: catboost: 1.0.6\n", + "INFO:logs:Engine successfully changes for model 'en' to 'sklearn'.\n", + "INFO:logs:Engine for model 'svm' has not been set explicitly, hence returning None.\n", + "INFO:logs:Engine for model 'knn' has not been set explicitly, hence returning None.\n", + "INFO:logs:Soft dependency imported: xgboost: 0.90\n", + "WARNING:logs:Wrong xgboost version. Expected xgboost>=1.1.0, got xgboost==0.90\n", + "INFO:logs:Soft dependency imported: catboost: 1.0.6\n", + "INFO:logs:Engine for model 'svm' has not been set explicitly, hence returning None.\n", + "INFO:logs:Engine for model 'knn' has not been set explicitly, hence returning None.\n", + "INFO:logs:Soft dependency imported: xgboost: 0.90\n", + "WARNING:logs:Wrong xgboost version. Expected xgboost>=1.1.0, got xgboost==0.90\n", + "INFO:logs:Soft dependency imported: catboost: 1.0.6\n", + "INFO:logs:Engine successfully changes for model 'knn' to 'sklearn'.\n", + "INFO:logs:Engine for model 'svm' has not been set explicitly, hence returning None.\n", + "INFO:logs:Soft dependency imported: xgboost: 0.90\n", + "WARNING:logs:Wrong xgboost version. Expected xgboost>=1.1.0, got xgboost==0.90\n", + "INFO:logs:Soft dependency imported: catboost: 1.0.6\n", + "INFO:logs:Engine for model 'svm' has not been set explicitly, hence returning None.\n", + "INFO:logs:Soft dependency imported: xgboost: 0.90\n", + "WARNING:logs:Wrong xgboost version. Expected xgboost>=1.1.0, got xgboost==0.90\n", + "INFO:logs:Soft dependency imported: catboost: 1.0.6\n", + "INFO:logs:Engine successfully changes for model 'svm' to 'sklearn'.\n", + "INFO:logs:Soft dependency imported: xgboost: 0.90\n", + "WARNING:logs:Wrong xgboost version. Expected xgboost>=1.1.0, got xgboost==0.90\n", + "INFO:logs:Soft dependency imported: catboost: 1.0.6\n", + "INFO:logs:Soft dependency imported: xgboost: 0.90\n", + "WARNING:logs:Wrong xgboost version. Expected xgboost>=1.1.0, got xgboost==0.90\n", + "INFO:logs:Soft dependency imported: catboost: 1.0.6\n", + "INFO:logs:Preparing preprocessing pipeline...\n", + "INFO:logs:Set up simple imputation.\n", + "INFO:logs:Set up variance threshold.\n", + "INFO:logs:Finished creating preprocessing pipeline.\n", + "INFO:logs:Pipeline: Pipeline(memory=Memory(location=/tmp/joblib),\n", + " steps=[('numerical_imputer',\n", + " TransformerWrapper(include=['p_ord', 'l_ord', 'r_ord', 'h_ord',\n", + " 'n_ord', 's_ord', 'g_ord',\n", + " 'd_ord'],\n", + " transformer=SimpleImputer())),\n", + " ('categorical_imputer',\n", + " TransformerWrapper(include=[],\n", + " transformer=SimpleImputer(fill_value='constant',\n", + " strategy='constant'))),\n", + " ('low_variance',\n", + " TransformerWrapper(exclude=[],\n", + " transformer=VarianceThreshold(threshold=0)))])\n", + "INFO:logs:Creating final display dataframe.\n", + "INFO:logs:Setup display_container: Description Value\n", + "0 Session id 7500\n", + "1 Target elo\n", + "2 Target type Regression\n", + "3 Data shape (60, 8)\n", + "4 Train data shape (41, 8)\n", + "5 Test data shape (19, 8)\n", + "6 Numeric features 8\n", + "7 Preprocess True\n", + "8 Imputation type simple\n", + "9 Numeric imputation mean\n", + "10 Categorical imputation constant\n", + "11 Low variance threshold 0\n", + "12 Fold Generator KFold\n", + "13 Fold Number 10\n", + "14 CPU Jobs -1\n", + "15 Use GPU False\n", + "16 Log Experiment False\n", + "17 Experiment Name reg-default-name\n", + "18 USI bbba\n" + ] + }, + { + "output_type": "display_data", + "data": { + "text/plain": [ + "" + ], + "text/html": [ + "\n", + "\n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + "
 DescriptionValue
0Session id7500
1Targetelo
2Target typeRegression
3Data shape(60, 8)
4Train data shape(41, 8)
5Test data shape(19, 8)
6Numeric features8
7PreprocessTrue
8Imputation typesimple
9Numeric imputationmean
10Categorical imputationconstant
11Low variance threshold0
12Fold GeneratorKFold
13Fold Number10
14CPU Jobs-1
15Use GPUFalse
16Log ExperimentFalse
17Experiment Namereg-default-name
18USIbbba
\n" + ] + }, + "metadata": {} + }, + { + "output_type": "stream", + "name": "stderr", + "text": [ + "INFO:logs:Soft dependency imported: xgboost: 0.90\n", + "WARNING:logs:Wrong xgboost version. Expected xgboost>=1.1.0, got xgboost==0.90\n", + "INFO:logs:Soft dependency imported: catboost: 1.0.6\n", + "INFO:logs:Soft dependency imported: xgboost: 0.90\n", + "WARNING:logs:Wrong xgboost version. Expected xgboost>=1.1.0, got xgboost==0.90\n", + "INFO:logs:Soft dependency imported: catboost: 1.0.6\n", + "INFO:logs:setup() successfully completed in 2.29s...............\n" + ] + } + ] + }, + { + "cell_type": "code", + "source": [ + "best = compare_models()" + ], + "metadata": { + "id": "YBiCwCugamgf" + }, + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "code", + "source": [ + "print(best)" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "tY9uie0lb8os", + "outputId": "6fcfa548-d78d-4f2e-cf59-a87e2fe5449e" + }, + "execution_count": 23, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "RandomForestRegressor(n_jobs=-1, random_state=7500)\n" + ] + } + ] + }, + { + "cell_type": "code", + "source": [ + "evaluate_model(best)" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 798, + "referenced_widgets": [ + "4a891d29e2bf4849a839120b2dcd9201", + "fca4d36956b84dfeaa77b9928fc2d14d", + "a98dbbc62d0f4882b1ff4dd86b261781", + "ad10780a7fb44297b8164679165b24f0", + "ff46baac65d145348f70d175e32f194e", + "f0da79b028bd4029a6596beb3b1a3e9f", + "63a56163ab474fe490bc55a94675c466" + ] + }, + "id": "Ig024PhkcBgI", + "outputId": "027cd89c-2c2f-46b9-ea46-a5212f1c6b34" + }, + "execution_count": 24, + "outputs": [ + { + "output_type": "stream", + "name": "stderr", + "text": [ + "INFO:logs:Initializing evaluate_model()\n", + "INFO:logs:evaluate_model(self=, estimator=RandomForestRegressor(n_jobs=-1, random_state=7500), fold=None, fit_kwargs=None, plot_kwargs=None, feature_name=None, groups=None, use_train_data=False)\n" + ] + }, + { + "output_type": "display_data", + "data": { + "text/plain": [ + "interactive(children=(ToggleButtons(description='Plot Type:', icons=('',), options=(('Pipeline Plot', 'pipelin…" + ], + "application/vnd.jupyter.widget-view+json": { + "version_major": 2, + "version_minor": 0, + "model_id": "4a891d29e2bf4849a839120b2dcd9201" + } + }, + "metadata": { + "application/vnd.jupyter.widget-view+json": { + "colab": { + "custom_widget_manager": { + "url": "https://ssl.gstatic.com/colaboratory-static/widgets/colab-cdn-widget-manager/d2e234f7cc04bf79/manager.min.js" + } + } + } + } + } + ] + } + ] +} diff --git a/examples_colab_notebooks/running_empirical_population_covariance.ipynb b/examples_colab_notebooks/running_empirical_population_covariance.ipynb new file mode 100644 index 00000000..db3ea448 --- /dev/null +++ b/examples_colab_notebooks/running_empirical_population_covariance.ipynb @@ -0,0 +1,126 @@ +{ + "nbformat": 4, + "nbformat_minor": 0, + "metadata": { + "colab": { + "name": "running_empirical_population_covariance.ipynb", + "provenance": [], + "authorship_tag": "ABX9TyNFztYRkxax7JfClcGxKFqu", + "include_colab_link": true + }, + "kernelspec": { + "name": "python3", + "display_name": "Python 3" + }, + "language_info": { + "name": "python" + } + }, + "cells": [ + { + "cell_type": "markdown", + "metadata": { + "id": "view-in-github", + "colab_type": "text" + }, + "source": [ + "\"Open" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "U6Mky28wX5y8" + }, + "outputs": [], + "source": [ + "!pip install git+https://github.com/microprediction/precise.git" + ] + }, + { + "cell_type": "markdown", + "source": [ + "Example to illustrate usage style of the precise package" + ], + "metadata": { + "id": "fY3DQOlwX-MU" + } + }, + { + "cell_type": "code", + "source": [ + "from precise.skatertools.syntheticdata.miscellaneous import create_correlated_dataset\n", + "from precise.skaters.covariance.runemp import run_emp_pcov_d0\n", + "from pprint import pprint\n", + "\n", + "# Basic example of running empirical population covariance\n", + "\n", + "if __name__=='__main__':\n", + " ys = create_correlated_dataset(n=500)\n", + " s = {}\n", + " for y in ys:\n", + " x, x_cov, s = run_emp_pcov_d0(s=s, y=y)\n", + " pprint(x_cov)" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "Gbi01UFRYJwb", + "outputId": "19960e68-9f6f-47a4-b443-e0c65d4c9619" + }, + "execution_count": 3, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "array([[0.38107168, 1.52673498, 0.72655086],\n", + " [1.52673498, 9.29830474, 6.18007495],\n", + " [0.72655086, 6.18007495, 4.8287917 ]])\n" + ] + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "If you care to peek you can look at the state too" + ], + "metadata": { + "id": "M2UPPFKeYcTj" + } + }, + { + "cell_type": "code", + "source": [ + "pprint(s)" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "G2Klm0PPYbUL", + "outputId": "7484b5cb-4944-43c4-93af-c642511a7952" + }, + "execution_count": 4, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "{'mean': array([2.20824683, 4.51516293, 1.59295951]),\n", + " 'n_dim': 3,\n", + " 'n_samples': 500,\n", + " 'ones': array([1., 1., 1.]),\n", + " 'pcov': array([[0.38107168, 1.52673498, 0.72655086],\n", + " [1.52673498, 9.29830474, 6.18007495],\n", + " [0.72655086, 6.18007495, 4.8287917 ]]),\n", + " 'shape': (3, 3)}\n" + ] + } + ] + } + ] +} diff --git a/examples_colab_notebooks/weak_portfolio.ipynb b/examples_colab_notebooks/weak_portfolio.ipynb new file mode 100644 index 00000000..5a59f646 --- /dev/null +++ b/examples_colab_notebooks/weak_portfolio.ipynb @@ -0,0 +1,338 @@ +{ + "nbformat": 4, + "nbformat_minor": 0, + "metadata": { + "colab": { + "name": "weak_portfolio.ipynb", + "provenance": [], + "authorship_tag": "ABX9TyN/AmrOQNiVCMmnX9sl6IA8", + "include_colab_link": true + }, + "kernelspec": { + "name": "python3", + "display_name": "Python 3" + }, + "language_info": { + "name": "python" + } + }, + "cells": [ + { + "cell_type": "markdown", + "metadata": { + "id": "view-in-github", + "colab_type": "text" + }, + "source": [ + "\"Open" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "Aqj0Tgd8AJ1o" + }, + "outputs": [], + "source": [ + "!pip install --upgrade git+https://github.com/microprediction/precise.git" + ] + }, + { + "cell_type": "code", + "source": [ + "from precise.skaters.covarianceutil.covfunctions import cov_to_corrcoef, weaken_cov\n", + "from precise.skaters.locationutil.vectorfunctions import normalize\n", + "from precise.skaters.portfoliostatic.weakport import weak_long_port\n", + "from precise.skaters.portfoliostatic.unitport import unit_port\n", + "from precise.skaters.portfoliostatic.weakportfactory import _weak_from_cov\n", + "import numpy as np\n", + "from pprint import pprint " + ], + "metadata": { + "id": "8OZ6sfHmBa2B" + }, + "execution_count": 17, + "outputs": [] + }, + { + "cell_type": "markdown", + "source": [ + "# Weak Portfolios\n", + "A illustration" + ], + "metadata": { + "id": "LNIaqnfzAbEe" + } + }, + { + "cell_type": "code", + "source": [ + "cov = np.array([[ 1.09948514, -1.02926114, 0.22402055, 0.10727343],\n", + " [-1.02926114, 2.54302628, 1.05338531, -0.12481515],\n", + " [ 0.22402055, 1.05338531, 1.79162765, -0.78962956],\n", + " [ 0.10727343, -0.12481515, -0.78962956, 0.86316527]])" + ], + "metadata": { + "id": "DiVwHyvBAeup" + }, + "execution_count": 4, + "outputs": [] + }, + { + "cell_type": "code", + "source": [ + "pprint(cov_to_corrcoef(cov))" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "obMPHjzCArhb", + "outputId": "de58f98f-2311-4c5c-8305-46967c465555" + }, + "execution_count": 5, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "array([[ 1. , -0.61553885, 0.15961338, 0.11011602],\n", + " [-0.61553885, 1. , 0.49350091, -0.08424515],\n", + " [ 0.15961338, 0.49350091, 1. , -0.63496903],\n", + " [ 0.11011602, -0.08424515, -0.63496903, 1. ]])\n" + ] + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "The minimum variance portfolio with weights summing to unity is well known to be proportional to precision multiplied by a vector of ones. " + ], + "metadata": { + "id": "zkZIkBF_BiL0" + } + }, + { + "cell_type": "code", + "source": [ + "pre = np.linalg.inv(cov)\n", + "w = normalize(np.dot(pre,np.ones(4)))\n", + "w" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "Q-tSdSJjA55V", + "outputId": "925281da-f7ca-4f9a-e9d8-e57f4489b4a7" + }, + "execution_count": 6, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "array([-9.00833504, -6.87125704, 8.74951879, 8.13007328])" + ] + }, + "metadata": {}, + "execution_count": 6 + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "Of course this is provided:" + ], + "metadata": { + "id": "7KOoxyEgC-tI" + } + }, + { + "cell_type": "code", + "source": [ + "unit_port(cov)" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "i3HisDFDCVHn", + "outputId": "5ad899fd-6255-4a7a-b88d-a908dac192de" + }, + "execution_count": 7, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "array([-9.00833504, -6.87125704, 8.74951879, 8.13007328])" + ] + }, + "metadata": {}, + "execution_count": 7 + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "This can be dangerous, as you can see by the signs on the weights. Instead we can use: " + ], + "metadata": { + "id": "szjdSAiMB-0Q" + } + }, + { + "cell_type": "code", + "source": [ + "w1 = weak_long_port(cov=cov)\n", + "w1" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "a2zHOKXtBol7", + "outputId": "550442bf-6be4-4139-d13b-c122c60314bb" + }, + "execution_count": 8, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "array([0.06561497, 0. , 0.36417362, 0.57021142])" + ] + }, + "metadata": {}, + "execution_count": 8 + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "This is called a weak portfolio because it is derived in pretty much the same way except that off-diag cov entries of some rows and columns have been multiplied by 0.976" + ], + "metadata": { + "id": "6NNfThu3CQFT" + } + }, + { + "cell_type": "code", + "source": [ + "dcov = np.diag(np.diag(cov))\n", + "off_diag_cov = cov-dcov\n", + "d_weak = 0.976*off_diag_cov + dcov\n", + "w2 = unit_port(d_weak)\n", + "w2" + ], + "metadata": { + "id": "gZ8x1HEvEA5r", + "outputId": "75f82059-71a1-4134-d7dd-7ae30561f7d2", + "colab": { + "base_uri": "https://localhost:8080/" + } + }, + "execution_count": 27, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "array([ 0.06744789, -0.00684143, 0.36581249, 0.57358106])" + ] + }, + "metadata": {}, + "execution_count": 27 + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "The \"weak long portfolio\" is then arrived at by removing negative mass and distributing it evenly. \n", + "\n", + "Now obviously the question to be asked here is ... why shrink off-diag covariances by 0.976 ? Well... " + ], + "metadata": { + "id": "UpOTAQ-mG5eX" + } + }, + { + "cell_type": "code", + "source": [ + "from precise.skaters.covarianceutil.covfunctions import try_invert, weaken_cov\n", + "from precise.skaters.portfoliostatic.unitportfactory import unitary_from_cov\n", + "from precise.skaters.portfolioutil.portfunctions import exclude_negative_weights, portfolio_variance\n", + "\n", + "import scipy\n", + "from numpy.linalg import LinAlgError\n", + "\n", + "v0 = portfolio_variance(cov=cov,w=w1)\n", + "\n", + "def b_objective(u,w,a, v0):\n", + " try:\n", + " w1 = _weak_from_cov(cov, a=a, b=u[0], w=w, with_weak=False)\n", + " v = portfolio_variance(cov=cov, w=exclude_negative_weights(w1))/v0\n", + " return v\n", + " except LinAlgError:\n", + " bad_v = portfolio_variance(cov=cov, w=100*w)\n", + " return bad_v" + ], + "metadata": { + "id": "8m-tOGk5G1bH" + }, + "execution_count": 29, + "outputs": [] + }, + { + "cell_type": "code", + "source": [ + "bs = np.linspace(0,1,100)\n", + "ys = [ b_objective([b],w1,1,v0) for b in bs ]\n", + "import matplotlib.pyplot as plt\n", + "plt.plot(bs,ys)\n", + "plt.grid()" + ], + "metadata": { + "id": "7OwoI8j5HaOz", + "outputId": "eccff234-de30-4588-9f41-5c6dd81904c6", + "colab": { + "base_uri": "https://localhost:8080/", + "height": 265 + } + }, + "execution_count": 32, + "outputs": [ + { + "output_type": "display_data", + "data": { + "image/png": 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pwihKfQw9KNCLiDRNOfTUR9yAAr2ISNMEUZR6Rywo0IuINE0YeeodsaBALyLSNOXQySvQi4hkVxBG5NR0Mz+V6cQiIq2gHC3M8Mo5nzDVSq6+6yHCIODcXUVWdRdY1V1gdU8h2e5gdXeBld0FVnUVWNmdZ1V3ga5Cpn4FItJCxidDOvPtqR8nM1HO3fn1d27kyef30tm3nMOjJfYdHuPxnx/j6Njk1HKgp+vItbGqu0BfV4GVXXlWdievXVVpXQVWdOXpW5anr6vAimX5BelAEZFsGz4xwcDyjtSPk5lAb2Z8+t2XUGw/wNDQNafkRZFzYiLg8MkSR05OcuTkJEfHJjlysszRsUmOTr2f5CevjHB0bJJj42V85nMDAL2dOfq68vQtiwP/iq58/Hraz/LO5HVZjhXL8vR26iQhIrGDIyXect6K1I8zZ6A3s63ArwDD7n75DPkG/BHwXmAM+Li7P57khcDTyUd/7u7vb1TB56OtzeJA3JVn4zm17RNFzshEmaNj8cng+HiZ41Xbx8bKHKukj5d55fg4I0l6MMvdQ0VPR47lnTmWJyeC5ctyLO/M09uZo/d1r/H28uS1pzNHd6Gd+NcuIq0qCCMOjZYWzRX9PcCfAF+bJf9W4JLk53rgT5NXgHF3v+rsitgcbW1GX9J8cxHdNe/n7oxNhlMngOPjZUbGy4xMBBwfL3NiYjr9xETAiYkyB45N8NzEian3c5wnMItPFr0dOXo6c0SlcbbufSx+35GjuyNHT0d7fFKopBWqtjvapz7XpZOGSFMcPjmJO6xZ3pn6seYM9O6+w8w2nOEjtwFfc3cHHjWzPjM7z91fbVQhW4mZ0Z0E0fP7ls17/8qJYmRi+kQwMhEwOhFwYiJgtFRmdCKI00px+s9/Mcbx8TIHjo4xWgo4WQoZLQU1lhe68u1TZe4qJNuFdro6cvQUcnR1tNNVaKerkEte4+3ujnaW5afTllV9piPXphOIyBkcHJkAYE3v4riin8ta4OWq9/uTtFeBTjPbBQTA5939W7N9iZltAjYBDAwMUCwW6yrM6Oho3fsuVgb0Jj8AFJKfxOjKkJ6ecvIuB+SIvEAphInAGQ9gInQmgvj9RJI+ETjjIZQCZyIMmQgCSmUYmXCGAyiFTimE8SB+netO4/Qyd7RDod3oaD91ezrNKCTvC23QkYNCW5yXr3y2rfKZ6m1jcvwk39u+nbYlcjLJ4t/1XLJe5x8Pxxdj+/c8Q/G154D06px2Z+yF7n7AzDYC3zOzp939ZzN90N23AFsABgcHfWhoqK4DFotF6t23VS1End2dyTBirBQyVg4ZKwWcnAwZmwwYnwwZS7bHku3xyZDxcmU7Th8vT6efKIeMj0+nlYL5zoEwYIxCro3OXBud+fiOojPXTme+jY58O535+M5iWT5Oq7zvrMrrqEqb6fWU7Xw7nbm2BZngcjr9XWfPgR/ug8d3896hd3Duirj5Jq06NyLQHwDWV71fl6Th7pXXvWZWBK4GZgz0sriZGR25djpy7axM4fvDyCkF4dRJI96OGC+HTJTDqdeJ5MTwzPM/5fz1G5gIQkrlaCpvohwxkXzP8fEypXJ8Ejk9/0wjqubS3mannAQKyXb8+2mjI1+1XUnPt1Fof31eYYZ9Cqft15Fr43gpHhzQkYu/R81ire/gSAkz6O8pzP3hs9SIQL8N+JSZ3UfcCXvc3V81s5XAmLuXzKwfeAfwHxtwPMmg9jZL2vdzrK7h88XyPoaG3ljXsSp3J5UTQKkcUQrik0CpcuJI3k8G03mTlRNGECbp8fvq7fg14thYeSq9dNrn59MEdort353aPNOJ4vS7kNNPOJ1Tr5U7nzivcypv+g6oM98+fUeUa6dNQ4MbZnhkgtXdHQtyh1jL8Mp7gSGg38z2A5uBPIC73w08QDy0cg/x8MpPJLu+GfiKmUXESy183t2fbXQFROar+u5keWd+wY8fhBGTYXTKiaQURJTKEZPh9Ilm6kRRjtj9k+e44KI3JCeO6RNS6bT9K+nHqu5mJqvuaCbDiHJY/+1MoaoprKuQS04EbSwrxCeEZYUcXflKx3z7dAd/0qnfXajq8E9GgfV25pZk5/3wiYUZWgm1jbq5fY58B35zhvRHgCvqL5pINuXa43b+rnncsa85+TOG3rmxIccPwuiUE8ZE1R1NdRNXnBY3g00kJ4vx5A5obDJgohyd0u9y5GSZ8ckg7ptJ+nJmm5F+ulyb0VOZN9IRzyGZPDnB3w4/OTX5sK+r8hMvY9LXlae/p4NlhfSXEEjDwZGJBRlxAxmaGSsitamcaLpTjjGVJrLxyTDuuE868E+WgmQYcDJEuFQ9fHh6SPGhcefgzw5xfLzMyclw1uN0FdpZ3VOgv6eDc3o6OKe3g4HlnZy7vJNzV3Ryfl8na/u6Ft0J4eBIiSvWpj8rFhToRSQl1U1kfV3z3796BEo5jJIZ6ZMcGyufsozJ4dESh0ZLHD45yb7DY+x86QhHx8qv+77V3QXWreriotVdXLi6m43ndHPxmh7ecE7PgiwsVi0IIw6fLC3IZClQoBeRFpBvb6O/p4P+ntpuQ0pByPBIiVePT/DKsXEOHBtn/9FxXj4yxq59R/nfT74yNfKqzWDD6m7esnYFV6xdzhVr+7hqfV+qdwCHRpNZsWq6ERGpT0eunfWruli/auZbiVIQsu/wGC8cPMELB0d57tURHt93lL998hUgnrB35bo+rr9oFUNvWsM1F/Q1dHRMZVbsgK7oRUTS0ZFr540DvbxxoPeU9MOjJZ7cf4zHXjzKYy8eZsuOvXy5+DP6uvLc9KY1/NOr13LDxf1nvQLt8IkSwOIZdSMislSs7ungly4d4JcuHQDgxESZHS8c4uGfHOTh54a5/8cHOH9FJ7967To++vYLWdNb3xX59Do3uqIXEWmq3s4877vyPN535XmUgpC/f3aYb+56mf+2fQ9bvr+XO96+gU03bmR1jX0HFcMjEws2KxYU6EVEatKRa58K+i8eOskfP/xTtnx/L19/dB+/c/Ob+Pg/3lDzzOHhE6UFmxULGXs4uIjIQriov5v/8qGreOgzN3L9xtV87tvPcsefP8Zw0iQzl4MjC/MIwQoFehGROl28ppc/u2OQ//CBy9n50hHe81938MieQ3PuFy9/sDDt86BALyJyVsyMj1x/Id/+rXdyTm8Hn/yLXex66cgZ9zk4UlqwMfSgQC8i0hAXr+nhL+98G+et6OQTf76T3QeOz/i5hZ4VCwr0IiINc05vB1+/83qWL8vzsa2PsWf4xOs+U5kVqzZ6EZEWdX7fMv7yzutpM/jMN58kOm0Fz4UeQw8K9CIiDbehv5vfe99lPH3gOH/9+P5T8qaXP9AVvYhIS7vtqvO5+oI+vvjg84yWgqn06eUPdEUvItLSzIzN/+QtvHaixJe375lKr8yKXd29MLNiQYFeRCQ1V63v459dvZav/r8XefnIGBAPrezvWbhZsaAlEEREUvVvbrmU7+z+BTd+cTu9HTlKQcTFa3oWtAwK9CIiKTp3RSdfv/M6/u8LhxgZL3N8vMxNl65Z0DLUFOjNbCvwK8Cwu18+Q74BfwS8FxgDPu7ujyd5dwC/l3z037v7XzSi4CIireLaC1dx7YWrmnb8WhuJ7gFuOUP+rcAlyc8m4E8BzGwVsBm4HrgO2GxmK+strIiIzF9Ngd7ddwBnWrzhNuBrHnsU6DOz84D3AA+5+xF3Pwo8xJlPGCIi0mCNaqNfC7xc9X5/kjZb+uuY2SbiuwEGBgYoFot1FWR0dLTufVuV6px9S62+oDo30qLpjHX3LcAWgMHBQR8aGqrre4rFIvXu26pU5+xbavUF1bmRGjWQ8wCwvur9uiRttnQREVkgjQr024CPWextwHF3fxV4ELjZzFYmnbA3J2kiIrJAah1eeS8wBPSb2X7ikTR5AHe/G3iAeGjlHuLhlZ9I8o6Y2V3AzuSrPufuZ16RX0REGqqmQO/ut8+R78BvzpK3Fdg6/6KJiEgjWByjFxczew3YV+fu/cDcD23MFtU5+5ZafUF1nq8L3f2cmTIWZaA/G2a2y90Hm12OhaQ6Z99Sqy+ozo2k1StFRDJOgV5EJOOyGOi3NLsATaA6Z99Sqy+ozg2TuTZ6ERE5VRav6EVEpIoCvYhIxrVsoDezW8zseTPbY2afnSG/w8y+meT/0Mw2NKGYDVNDff+VmT1rZk+Z2cNmdmEzytlIc9W56nMfNDM3s5YfildLnc3snyf/1s+Y2TcWuoyNVsPf9gVmtt3Mfpz8fb+3GeVsFDPbambDZrZ7lnwzsz9Ofh9Pmdk1Z31Qd2+5H6Ad+BmwESgATwKXnfaZfwncnWx/GPhms8udcn1vArqS7d9o5frWWufkc73ADuBRYLDZ5V6Af+dLgB8DK5P3a5pd7gWo8xbgN5Lty4CXml3us6zzjcA1wO5Z8t8LfAcw4G3AD8/2mK16RX8dsMfd97r7JHAf8cNPqt0GVB5b+NfAu5NHHraiOevr7tvdfSx5+yjxSqGtrJZ/Y4C7gC8AEwtZuJTUUudfB77k8YN8cPfhBS5jo9VSZweWJ9srgFcWsHwN5/U/yKlurRroa3mgydRn3D0AjgOrF6R0jVfzA1wSnyS+Imhlc9Y5uaVd7+7/ZyELlqJa/p3fCLzRzP7BzB41s1Z/Ylstdf53wEeTBRUfAH5rYYrWNPP9/z6nRfPgEWkMM/soMAi8q9llSZOZtQH/Gfh4k4uy0HLEzTdDxHdtO8zsCnc/1sxCpex24B53/09m9nbgf5jZ5e4eNbtgraJVr+hreaDJ1GfMLEd8y3d4QUrXeDU9wMXMfhn4t8D73b20QGVLy1x17gUuB4pm9hJxW+a2Fu+QreXfeT+wzd3L7v4i8AJx4G9VtdT5k8BfAbj7D4BO4sW/sqrhD2xq1UC/E7jEzC4yswJxZ+u20z6zDbgj2f5V4Hue9HS0oDnra2ZXA18hDvKt3m4Lc9TZ3Y+7e7+7b3D3DcT9Eu93913NKW5D1PJ3/S3iq3nMrJ+4KWfvApax0Wqp88+BdwOY2ZuJA/1rC1rKhTXbg5zq1pJNN+4emNmniJ9W1Q5sdfdnzOxzwC533wb8GfEt3h7ijo8PN6/EZ6fG+n4R6AH+Z9Ln/HN3f3/TCn2WaqxzptRY58pT254FQuBfu3ur3qnWWuffAf67mX2GuGP24y180Vb3g5zO6pgt/PsSEZEatGrTjYiI1EiBXkQk4xToRUQyToFeRCTjFOhFRDJOgV5EJOMU6EVEMu7/A2DAWDCpIZG1AAAAAElFTkSuQmCC\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + } + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "What we are doing here is computing the portfolio variance of long-only portfolios achieved by shrinking off-diag cov entries and then redistributing negative mass, if any. \n", + "\n", + "We choose the shrinkage to minimize the portfolio variance, that is with respect to the original cov not the weakenned one. " + ], + "metadata": { + "id": "yd03n1JSITmY" + } + } + ] +} diff --git a/examples_covariance/__init__.py b/examples_covariance/__init__.py new file mode 100644 index 00000000..e69de29b diff --git a/examples_covariance/elo/__init__.py b/examples_covariance/elo/__init__.py new file mode 100644 index 00000000..e69de29b diff --git a/examples_covariance/elo/latex_cov_elo_ratings_2.py b/examples_covariance/elo/latex_cov_elo_ratings_2.py new file mode 100644 index 00000000..f7f4749d --- /dev/null +++ b/examples_covariance/elo/latex_cov_elo_ratings_2.py @@ -0,0 +1,5 @@ +from precise.skatervaluation.battlelatex.tables import elo_latex_table + +if __name__=='__main__': + ltx = elo_latex_table(genre='manager_var',category='stocks_20_days_p2_n60') + print(ltx) \ No newline at end of file diff --git a/examples_covariance/elo/latex_cov_elo_ratings_25.py b/examples_covariance/elo/latex_cov_elo_ratings_25.py new file mode 100644 index 00000000..210ea5a4 --- /dev/null +++ b/examples_covariance/elo/latex_cov_elo_ratings_25.py @@ -0,0 +1,5 @@ +from precise.skatervaluation.battlelatex.tables import elo_latex_table + +if __name__=='__main__': + ltx = elo_latex_table(genre='cov_likelihood',category='stocks_5_days_p25_n20') + print(ltx) \ No newline at end of file diff --git a/examples_covariance/elo/latex_cov_elo_ratings_50.py b/examples_covariance/elo/latex_cov_elo_ratings_50.py new file mode 100644 index 00000000..95eaf7dc --- /dev/null +++ b/examples_covariance/elo/latex_cov_elo_ratings_50.py @@ -0,0 +1,5 @@ +from precise.skatervaluation.battlelatex.tables import elo_latex_table + +if __name__=='__main__': + ltx = elo_latex_table(genre='cov_likelihood',category='stocks_5_days_p50_n150') + print(ltx) diff --git a/examples_covariance/elo/view_cov_elo_ratings.py b/examples_covariance/elo/view_cov_elo_ratings.py new file mode 100644 index 00000000..7e12471d --- /dev/null +++ b/examples_covariance/elo/view_cov_elo_ratings.py @@ -0,0 +1,9 @@ +from precise.skatervaluation.battleutil.compilingeloratings import elo_from_win_files +from pprint import pprint + + +if __name__=='__main__': + category_sub_string = 'm6' # e.g. m6_daily, p100, whatever, 'stocks_5_days' + ratings = elo_from_win_files(genre='cov_likelihood',category=category_sub_string) + pprint(ratings) + diff --git a/examples_covariance/elo/view_cov_elo_ratings_m6.py b/examples_covariance/elo/view_cov_elo_ratings_m6.py new file mode 100644 index 00000000..6b25e3aa --- /dev/null +++ b/examples_covariance/elo/view_cov_elo_ratings_m6.py @@ -0,0 +1,9 @@ +from precise.skatervaluation.battleutil.compilingeloratings import elo_from_win_files +from pprint import pprint + + +if __name__=='__main__': + category_sub_string = 'm6_daily_p100_n200_implied' # e.g. m6_daily, p100, whatever, 'stocks_5_days' + ratings = elo_from_win_files(genre='cov_likelihood',category=category_sub_string) + pprint(ratings) + diff --git a/examples_covariance/elo/view_cov_elo_ratings_stocks.py b/examples_covariance/elo/view_cov_elo_ratings_stocks.py new file mode 100644 index 00000000..8a76ae68 --- /dev/null +++ b/examples_covariance/elo/view_cov_elo_ratings_stocks.py @@ -0,0 +1,9 @@ +from precise.skatervaluation.battleutil.compilingeloratings import elo_from_win_files +from pprint import pprint + + +if __name__=='__main__': + category_sub_string = 'stocks_20_days' # e.g. m6_daily, p100, whatever, 'stocks_5_days' + ratings = elo_from_win_files(genre='cov_likelihood',category=category_sub_string) + pprint(ratings) + diff --git a/examples_covariance/elo/view_cov_elo_ratings_tm.py b/examples_covariance/elo/view_cov_elo_ratings_tm.py new file mode 100644 index 00000000..9fd62deb --- /dev/null +++ b/examples_covariance/elo/view_cov_elo_ratings_tm.py @@ -0,0 +1,9 @@ +from precise.skatervaluation.battleutil.compilingeloratings import elo_from_win_files +from pprint import pprint + + +if __name__=='__main__': + category_sub_string = 'tm' # e.g. m6_daily, p100, whatever, 'stocks_5_days' + ratings = elo_from_win_files(genre='cov_likelihood',category=category_sub_string) + pprint(ratings) + diff --git a/examples_covariance/running_empirical_population_correlation.py b/examples_covariance/running_empirical_population_correlation.py new file mode 100644 index 00000000..55a5d2aa --- /dev/null +++ b/examples_covariance/running_empirical_population_correlation.py @@ -0,0 +1,14 @@ +from precise.skatertools.syntheticdata.miscellaneous import create_correlated_dataset +from precise.skaters.covariance.runemp import run_emp_pcov_d0 +from pprint import pprint +from precise.skaters.covarianceutil.covfunctions import cov_to_corrcoef + +# Basic example: running empirical population correlation + +if __name__=='__main__': + ys = create_correlated_dataset(n=500) + s = {} + for y in ys: + x, x_cov, s = run_emp_pcov_d0(s=s, y=y) + pcorr = cov_to_corrcoef(x_cov) + pprint(pcorr) # Population correlation diff --git a/examples_covariance/running_empirical_population_covariance.py b/examples_covariance/running_empirical_population_covariance.py new file mode 100644 index 00000000..b3259372 --- /dev/null +++ b/examples_covariance/running_empirical_population_covariance.py @@ -0,0 +1,13 @@ +from precise.skatertools.syntheticdata.miscellaneous import create_correlated_dataset +from precise.skaters.covariance.runemp import run_emp_pcov_d0 as f +from pprint import pprint + +# Basic example of running empirical population covariancecomparisonutil. +# This package contains dozens of alternatives to this particular choice of "f" + +if __name__=='__main__': + ys = create_correlated_dataset(n=500) + s = {} + for y in ys: + x, x_cov, s = f(s=s, y=y) + pprint(s) diff --git a/examples_covariance/running_empirical_sample_correlation.py b/examples_covariance/running_empirical_sample_correlation.py new file mode 100644 index 00000000..0e9bd66f --- /dev/null +++ b/examples_covariance/running_empirical_sample_correlation.py @@ -0,0 +1,16 @@ +from precise.skatertools.syntheticdata.miscellaneous import create_correlated_dataset +from precise.skaters.covariance.runemp import run_emp_pcov_d0 +from pprint import pprint +from precise.skaters.covarianceutil.covfunctions import cov_to_corrcoef +from precise.skaters.covarianceutil.statemutations import both_cov + +# Basic show_em of running empirical sample correlation + +if __name__=='__main__': + ys = create_correlated_dataset(n=500) + s = {} + for y in ys: + x, x_cov, s = run_emp_pcov_d0(s=s, y=y) # <--- + s = both_cov(s) # <--- Peek in the state and converts scov to pcov + scorr = cov_to_corrcoef(s['scov']) + pprint(scorr) # Sample correlation diff --git a/examples_covariance/running_empirical_sample_covariance.py b/examples_covariance/running_empirical_sample_covariance.py new file mode 100644 index 00000000..5001c396 --- /dev/null +++ b/examples_covariance/running_empirical_sample_covariance.py @@ -0,0 +1,14 @@ +from precise.skatertools.syntheticdata.miscellaneous import create_correlated_dataset +from precise.skaters.covariance.runemp import run_emp_pcov_d0 +from pprint import pprint +from precise.skaters.covarianceutil.statemutations import both_cov + +# Basic show_em of running empirical population covariancecomparisonutil + +if __name__=='__main__': + ys = create_correlated_dataset(n=500) + s = {} + for y in ys: + x, x_cov, s = run_emp_pcov_d0(s=s, y=y) + s = both_cov(s) # <--- Converts scov to pcov + pprint(s['scov']) diff --git a/examples_covariance/running_oas_covariance.py b/examples_covariance/running_oas_covariance.py new file mode 100644 index 00000000..3782bd96 --- /dev/null +++ b/examples_covariance/running_oas_covariance.py @@ -0,0 +1,30 @@ +from precise.skatertools.syntheticdata.miscellaneous import create_correlated_dataset +from precise.skaters.covariance.bufsk import buf_sk_oas_pcov_d0_n100 +from precise.skaters.covariance.runemp import run_emp_pcov_d0 +from precise.skaters.covarianceutil.statefunctions import oas +from pprint import pprint + +# Basic show_em of running OAS covariancecomparisonutil +# (just a simple function of the running state) + +if __name__=='__main__': + ys = create_correlated_dataset(n=50) + + # Method 1: Use the buffered OAS skater + s1 = {} + for y in ys: + x, x_cov, s1 = buf_sk_oas_pcov_d0_n100(s=s1, y=y) + print(x_cov) + + # Method 2: Use the empirical skater and, when you need it, apply the OAS helper + # (Will be the same but only so long as n0 ] + print('Manager '+mgr.__name__+' suggests ') + pprint(brief_portfolio) + portfolios[mgr.__name__] = brief_portfolio + + + # So let's pick a manager + fav_manager = 'weak_sk_lw_pcov_d0_n100_long_manager' + import json + with open('etf_allocation.json', 'wt') as fh: + json.dump(portfolios[fav_manager],fh) + + # Actual shares + total_notional = 700000 + fav_weights = portfolios[fav_manager] + last_prices = xs[-1] + from precise.skatertools.data.equitylive import get_prices + last_prices = [ get_prices(ticker=ticker,n_obs=2, interval='d')[-1] for (wi,ticker) in fav_weights ] + + to_buy = dict( [ (ticker,wi*total_notional/last_price ) for (wi, ticker), last_price in zip(fav_weights, last_prices) ] ) + with open('etf_shares.json', 'wt') as fh: + json.dump(to_buy, fh) + + + + diff --git a/examples_managers/etfs/live_etf_manager_stats.py b/examples_managers/etfs/live_etf_manager_stats.py new file mode 100644 index 00000000..0008e031 --- /dev/null +++ b/examples_managers/etfs/live_etf_manager_stats.py @@ -0,0 +1,40 @@ +from precise.skatertools.data.equitylive import live_veteran_etf_data +from pprint import pprint +from precise.skatervaluation.managercomparisonutil.managerstats import manager_stats +import json +import numpy as np + +# Look at manager performance for about 40 ETFs +# (Pulls data slowly so be patient!) +# Not investment advice, just an show_em + + +if __name__=='__main__': + # Select some managers + from precise.skaters.managers.weakmanagers import weak_sk_lw_pcov_d0_n100_long_manager, weak_pm_t0_d0_r050_n50_long_manager + from precise.skaters.managers.schurmanagers import schur_weak_vol_ewa_r050_n25_s5_g000_long_manager + from precise.skaters.managers.hrpmanagers import hrp_weak_weak_pm_t0_d0_r025_n50_s5_long_manager + from precise.skaters.managers.ppomanagers import ppo_ewa_d0_r025_n50_vol_long_manager, ppo_sk_glcv_pcov_d0_n100_t0_vol_long_manager + managers = [weak_sk_lw_pcov_d0_n100_long_manager, weak_pm_t0_d0_r050_n50_long_manager, schur_weak_vol_ewa_r050_n25_s5_g000_long_manager, + hrp_weak_weak_pm_t0_d0_r025_n50_s5_long_manager, ppo_ewa_d0_r025_n50_vol_long_manager, ppo_sk_glcv_pcov_d0_n100_t0_vol_long_manager] + + # Get some ETF returns from those that have been around for a while + print('Be patient ...') + df = live_veteran_etf_data(k=3) + xs = df.values + n_obs, n_dim = np.shape(xs) + + # Evaluate them based on daily performance + manager_statistics = dict() + for mgr in managers: + print('Evaluating '+str(mgr.__name__)) + manager_statistics[mgr.__name__] = manager_stats(mgr=mgr, xs=xs, n_burn=int(n_obs/2)) + pprint( manager_statistics[mgr.__name__] ) + pprint(manager_statistics) + + + with open('etf_manager_stats.json', 'wt') as fh: + json.dump(manager_statistics,fh) + + + diff --git a/examples_managers/etfs/prior_etf_allocation.json b/examples_managers/etfs/prior_etf_allocation.json new file mode 100644 index 00000000..9ca34395 --- /dev/null +++ b/examples_managers/etfs/prior_etf_allocation.json @@ -0,0 +1 @@ +{"weak_sk_lw_pcov_d0_n100_long_manager": [[0.2088, "CWB"], [0.1955, "SPLV"], [0.0894, "DGRW"], [0.0699, "VTV"], [0.0615, "SCHV"], [0.0585, "GXC"], [0.0557, "NOBL"], [0.044, "VIG"], [0.035, "XLG"], [0.0325, "VOO"], [0.0317, "SDOG"], [0.0303, "SCHF"], [0.0258, "SCHE"], [0.0243, "CWI"], [0.0131, "SCHB"], [0.0122, "SCHX"], [0.0087, "SCHC"], [0.0027, "VV"], [0.0003, "FNDE"]], "weak_pm_t0_d0_r050_n50_long_manager": [[0.2678, "CWB"], [0.192, "SPLV"], [0.0941, "NOBL"], [0.0733, "DGRW"], [0.0697, "VTV"], [0.0614, "GXC"], [0.0473, "SCHV"], [0.0441, "VIG"], [0.0275, "CWI"], [0.0261, "XLG"], [0.0248, "SCHE"], [0.0181, "VOO"], [0.0173, "SDOG"], [0.0154, "SCHF"], [0.0085, "SCHB"], [0.0079, "SCHX"], [0.0046, "SCHC"]], "schur_weak_vol_ewa_r050_n25_s5_g000_long_manager": [[0.1606, "CWI"], [0.148, "CWB"], [0.1158, "SPLV"], [0.1003, "VTV"], [0.0809, "SCHE"], [0.0779, "VOO"], [0.0691, "DGRW"], [0.0673, "VO"], [0.0644, "SCHX"], [0.0634, "NOBL"], [0.0324, "GNR"], [0.0107, "VV"], [0.0093, "GXC"]], "hrp_weak_weak_pm_t0_d0_r025_n50_s5_long_manager": [[0.1283, "CWI"], [0.1172, "SPLV"], [0.1017, "CWB"], [0.0955, "SCHF"], [0.0771, "DGRW"], [0.0661, "VOO"], [0.0645, "VTV"], [0.0527, "SCHV"], [0.0458, "VO"], [0.0398, "VV"], [0.0387, "SCHX"], [0.038, "XLG"], [0.0376, "NOBL"], [0.0348, "SDOG"], [0.0274, "SCHM"], [0.0174, "SCHB"], [0.0126, "VUG"], [0.0049, "GXC"]], "ppo_ewa_d0_r025_n50_vol_long_manager": [[0.6396, "SPLV"], [0.2201, "CWB"], [0.1403, "GXC"]], "ppo_sk_glcv_pcov_d0_n100_t0_vol_long_manager": [[0.2543, "SPLV"], [0.1496, "DGRW"], [0.0927, "VTV"], [0.0876, "CWI"], [0.0747, "SCHV"], [0.0723, "NOBL"], [0.0698, "SCHF"], [0.0671, "CWB"], [0.0587, "VIG"], [0.0213, "VOO"], [0.0196, "SCHE"], [0.0103, "GXC"], [0.0093, "FNDE"], [0.0081, "SCHC"], [0.0047, "XLG"]]} \ No newline at end of file diff --git a/examples_managers/metals/__init__.py b/examples_managers/metals/__init__.py new file mode 100644 index 00000000..e69de29b diff --git a/examples_managers/metals/metals_schur_manager_comparison.py b/examples_managers/metals/metals_schur_manager_comparison.py new file mode 100644 index 00000000..49b9f349 --- /dev/null +++ b/examples_managers/metals/metals_schur_manager_comparison.py @@ -0,0 +1,28 @@ +from precise.skatertools.data.preciousmetalsreturns import precious_metals_returns +from precise.skaters.managers.schurmanagers import schur_diag_weak_pm_t0_r050_n25_s5_g100_long_manager,\ + schur_diag_weak_pm_t0_r050_n25_s5_g050_long_manager +from precise.skaters.managers.schurmanagers import schur_weak_diag_pm_t0_r050_n25_s5_g100_long_manager, \ + schur_weak_diag_pm_t0_r050_n25_s5_g010_l7_long_manager, schur_weak_diag_pm_t0_r050_n25_s5_g050_long_manager +from precise.skatervaluation.managercomparisonutil.managerstats import manager_stats_leaderboard +from precise.skaters.managers.equalmanagers import equal_long_manager +from pprint import pprint + +mrgs = [equal_long_manager, + schur_diag_weak_pm_t0_r050_n25_s5_g100_long_manager, + schur_diag_weak_pm_t0_r050_n25_s5_g050_long_manager, + schur_diag_weak_pm_t0_r050_n25_s5_g050_long_manager, + schur_weak_diag_pm_t0_r050_n25_s5_g100_long_manager, + schur_weak_diag_pm_t0_r050_n25_s5_g010_l7_long_manager, + schur_weak_diag_pm_t0_r050_n25_s5_g050_long_manager] + + +if __name__=='__main__': + xs = precious_metals_returns()[-1000:] + j = 20 # How often to rebalance + q = 1.0 # How far to move towards target when rebalancing + lb = manager_stats_leaderboard(mgrs=mrgs, xs=xs, verbose=True, field='info', j=j, q=q) + + + + + diff --git a/examples_managers/metals/metals_schur_manager_comparison_filter.py b/examples_managers/metals/metals_schur_manager_comparison_filter.py new file mode 100644 index 00000000..c57089f3 --- /dev/null +++ b/examples_managers/metals/metals_schur_manager_comparison_filter.py @@ -0,0 +1,20 @@ +from precise.skatertools.data.preciousmetalsreturns import precious_metals_returns +from precise.skaters.managers.schurmanagers import SCHUR_MANAGERS +from precise.skatervaluation.managercomparisonutil.managerstats import manager_stats_leaderboard +from precise.skaters.managers.equalmanagers import equal_long_manager + +# Similar example but uses lists + +filtered_managers = [ mgr for mgr in SCHUR_MANAGERS if ('diag' in mgr.__name__) and 'ewa' in mgr.__name__] +mrgs = [equal_long_manager] + filtered_managers + +if __name__=='__main__': + xs = precious_metals_returns()[4000:5000] + j = 20 # How often to rebalance + q = 0.25 # How far to move towards target when rebalancing + lb = manager_stats_leaderboard(mgrs=mrgs, xs=xs, verbose=True, field='info', j=j, q=q) + + + + + diff --git a/examples_managers/metals/metals_schur_manager_comparison_lists.py b/examples_managers/metals/metals_schur_manager_comparison_lists.py new file mode 100644 index 00000000..98d62712 --- /dev/null +++ b/examples_managers/metals/metals_schur_manager_comparison_lists.py @@ -0,0 +1,19 @@ +from precise.skatertools.data.preciousmetalsreturns import precious_metals_returns +from precise.skaters.managers.schurmanagers import SCHUR_MANAGERS +from precise.skatervaluation.managercomparisonutil.managerstats import manager_stats_leaderboard +from precise.skaters.managers.equalmanagers import equal_long_manager + +# Similar example but uses lists + +mrgs = [equal_long_manager] + SCHUR_MANAGERS + +if __name__=='__main__': + xs = precious_metals_returns()[-1000:] + j = 20 # How often to rebalance + q = 1.0 # How far to move towards target when rebalancing + lb = manager_stats_leaderboard(mgrs=mrgs, xs=xs, verbose=True, field='info', j=j, q=q) + + + + + diff --git a/examples_managers/metals/run_manager_and_save_weights_to_csv.py b/examples_managers/metals/run_manager_and_save_weights_to_csv.py new file mode 100644 index 00000000..524f0db6 --- /dev/null +++ b/examples_managers/metals/run_manager_and_save_weights_to_csv.py @@ -0,0 +1,23 @@ +from precise.skaters.managers.schurmanagers import schur_diag_diag_ewa_r050_n25_s5_g100_long_manager as mgr +from precise.skatertools.data.preciousmetalsreturns import precious_metals_returns +import numpy as np +from precise.whereami import ROOT +import os + +OUTPUT_CSV = os.path.join(ROOT,'private_examples','weights.csv') + +if __name__=='__main__': + ys = precious_metals_returns() + ws = list() + s = {} + j = 20 + q = 1.0 + for y in ys: + w, s = mgr(y=y,s=s,k=1,j=j,q=q) + ws.append(w) + + ws = np.array(ws) + print(np.shape(ws)) + ws.tofile(OUTPUT_CSV,sep=',') + print('Saved to '+OUTPUT_CSV) + diff --git a/examples_managers/speed/__init__.py b/examples_managers/speed/__init__.py new file mode 100644 index 00000000..e69de29b diff --git a/examples_managers/speed/manager_speed.py b/examples_managers/speed/manager_speed.py new file mode 100644 index 00000000..0269dfc9 --- /dev/null +++ b/examples_managers/speed/manager_speed.py @@ -0,0 +1,7 @@ +from pprint import pprint +from precise.skaters.managers.schurmanagers import schur_weak_weak_pm_t0_r025_n50_s25_g100_h125_long_manager as mgr +from precise.skatervaluation.managercomparisonutil.managertesting import manager_profile + +if __name__=='__main__': + cpu = manager_profile(mgr=mgr) + pprint(cpu) \ No newline at end of file diff --git a/examples_portfolios/__init__.py b/examples_portfolios/__init__.py new file mode 100644 index 00000000..e69de29b diff --git a/examples_portfolios/ensembles/__init__.py b/examples_portfolios/ensembles/__init__.py new file mode 100644 index 00000000..e69de29b diff --git a/examples_portfolios/ensembles/portfolio_of_sklearn_models.py b/examples_portfolios/ensembles/portfolio_of_sklearn_models.py new file mode 100644 index 00000000..1c80d333 --- /dev/null +++ b/examples_portfolios/ensembles/portfolio_of_sklearn_models.py @@ -0,0 +1,146 @@ + +from sklearn import datasets +from sklearn.utils import shuffle +import numpy as np +from pprint import pprint +import time + +# Construct a portfolio of models using lazypredict + +# Train on X_train, y_train +# Select best based on X_test, y_test out of sample performance +# Retrain on X_train+X_test +# Estimate portfolio using X_test,y_test covariancecomparisonutil +# Compare the val performance of: +# The best model from step 2, retrained in step 3. +# A weighted combination of models from step 4. + + + +def manager_versus_best_model_avg(mgr=None): + """ + Example of comparing manager to best model on an sklearn dataset + """ + from precise.skaters.location.empirical import emp_d0 + s = {} + while True: + y = manager_versus_best_model(mgr=mgr, verbose=False) + rmse_errors, y_cov, s = emp_d0(y=y,s=s,k=1) # <-- Update running mean rmse estimates + + print(' ') + print(' ') + rmse_comparison = dict(zip(['port','best'],rmse_errors)) + pprint(rmse_comparison) + print(' ') + time.sleep(1) + + +def manager_versus_best_model(mgr=None, verbose=True, n_train = 50, n_test = 50): + try: + from lazypredict.Supervised import LazyRegressor + except ImportError: + raise Exception('pip install lazypredict') + if mgr is None: + from precise.skaters.managers.ppomanagers import ppo_sk_glcv_pcov_d0_n100_t0_vol_long_manager as mgr + + boston = datasets.load_boston() + X, y = shuffle(boston.data, boston.target) + X = X.astype(np.float32) + X_train, y_train = X[:n_train], y[:n_train] + X_test, y_test = X[n_train:(n_train+n_test)], y[n_train:(n_train+n_test)] + X_val, y_val = X[(n_train+n_test):], y[(n_train+n_test):] + X_train_and_test = X[:(n_train+n_test)] + y_train_and_test = y[:(n_train+n_test)] + + # Train on train, predict test + reg1 = LazyRegressor(verbose=0, + ignore_warnings=False, + custom_metric=None, + predictions=True) + models1, predictions1 = reg1.fit(np.copy(X_train), + np.copy(X_test), + np.copy(y_train), + np.copy(y_test)) + if verbose: + print(models1[:5]) + + # Train on train+test, predict validation + reg2 = LazyRegressor(verbose=0, ignore_warnings=False, custom_metric=None, predictions=True) + X_train_and_test_copy = np.copy(X_train_and_test) + X_val_copy = np.copy(X_val) + models2, predictions2 = reg2.fit(X_train_and_test_copy, X_val_copy, np.copy(y_train_and_test), np.copy(y_val)) + yhat_val = predictions2.values + + # In-sample performance on train + reg3 = LazyRegressor(verbose=0, ignore_warnings=False, custom_metric=None, predictions=True) + models3, predictions3 = reg3.fit(np.copy(X_train), np.copy(X_train), np.copy(y_train), np.copy(y_train)) + + # In-sample performance on train + test + reg4 = LazyRegressor(verbose=0, ignore_warnings=False, custom_metric=None, predictions=True) + models4, predictions4 = reg4.fit(np.copy(X_train_and_test), np.copy(X_train_and_test), np.copy(y_train_and_test), np.copy(y_train_and_test)) + + # Train on train, predict val + reg5 = LazyRegressor(verbose=0, ignore_warnings=False, custom_metric=None, predictions=True) + models5, predictions5 = reg5.fit(np.copy(X_train), np.copy(X_val), np.copy(y_train), np.copy(y_val)) + + + best_model_1 = models1.index[0] # <-- Best out of sample on test + best_model_2 = models3.index[0] # <-- Best in sample on train + best_model_3 = models4.index[0] # <-- Best in sample on train+test + + # Train cov on out of sample prediction errors + if verbose: + print('Creating portfolio ...') + s = {} + yhat_test = np.copy(predictions1.values) + n_test = len(yhat_test) + es = [-1]*(n_test-1)+[1] + for y, y_target,e in zip(yhat_test, y_test,es): + y_error = np.copy(y-y_target) + w, s = mgr(s=s, y=y_error, e=e) + + w_dict = sorted([(wi,mi) for (wi,mi) in zip(w, models1.index) if wi>0], reverse=True) + if verbose: + pprint(w_dict) + + # Refit models using all the train+test data, and combine + sum_w = sum(w) + yhat_weighted = np.dot( yhat_val, w ) + predictions2['>> weighted portfolio of models '] = yhat_weighted + predictions2['>> best model (' + best_model_1 + ') retrained '] = predictions2[best_model_1] + try: + predictions2['>> best model (' + best_model_1 + ') not retrained '] = predictions5[best_model_1] + except: + pass + predictions2['>> best in sample i (' + best_model_2 + ')'] = predictions2[best_model_2] + predictions2['>> best in sample ii (' + best_model_3 + ')'] = predictions2[best_model_3] + + val_errors = predictions2.copy() + for col in predictions2.columns: + val_errors[col] = predictions2[col] - y_val + + sq_errors = val_errors**2 + the_mean_errors = sq_errors.mean() + if verbose: + print(' ') + print('Performance on validation set:') + print(the_mean_errors.sort_values()) + print('done') + else: + print(the_mean_errors.sort_values()[:5]) + import math + port_rmse = math.sqrt( the_mean_errors['>> weighted portfolio of models ']) + best_rmse = math.sqrt( the_mean_errors['>> best in sample i (' + best_model_2 + ')']) + y = [port_rmse, best_rmse] + return y + + + +if __name__=='__main__': + manager_versus_best_model_avg() + + + + + + diff --git a/examples_portfolios/large/__init__.py b/examples_portfolios/large/__init__.py new file mode 100644 index 00000000..e69de29b diff --git a/examples_portfolios/large/hugehrp.py b/examples_portfolios/large/hugehrp.py new file mode 100644 index 00000000..bc3c7e3d --- /dev/null +++ b/examples_portfolios/large/hugehrp.py @@ -0,0 +1,21 @@ + +from precise.skaters.covarianceutil.covrandom import random_band_cov, random_factor_cov, rnd_symm_cov +from precise.skaters.portfoliostatic.hrpport import hrp_diag_diag_s5_long_port as port +import time +import numpy as np + +if __name__=='__main__': + n_dim = 5000 + st = time.time() + cov = rnd_symm_cov(n_dim=n_dim, rho=0.4, severity=0.1) + print(time.time()-st) + print(np.shape(cov)) + st = time.time() + w = port(cov=cov) + print(time.time()-st) + import matplotlib.pyplot as plt + plt.hist(w, bins=100) + plt.show() + print({'len':len(w)}) + print(w[:2]) + diff --git a/examples_portfolios/m6/.DS_Store b/examples_portfolios/m6/.DS_Store new file mode 100644 index 00000000..b3c2bdd9 Binary files /dev/null and b/examples_portfolios/m6/.DS_Store differ diff --git a/examples_portfolios/m6/README.md b/examples_portfolios/m6/README.md new file mode 100644 index 00000000..b8b4b46a --- /dev/null +++ b/examples_portfolios/m6/README.md @@ -0,0 +1,14 @@ + +## M6 Financial forecasting contest utilities + +Warning ... this is no longer maintained. + +You can use this library to enter M6 as follows: + + 1. Pick a cov estimator (i.e. a "cov skater"), if you wish + 2. Pick a portfolio generator, if you wish + 3. Pick extra shrinkage params, if you wish + 4. Pick love and hate ticker lists, if you wish + 5. Buy me a beer when you win. + +See [precise/examples_m6](https://github.com/microprediction/precise/tree/main/examples_m6). diff --git a/examples_portfolios/m6/__init__.py b/examples_portfolios/m6/__init__.py new file mode 100644 index 00000000..e69de29b diff --git a/examples_portfolios/m6/example_m6_entry.py b/examples_portfolios/m6/example_m6_entry.py new file mode 100644 index 00000000..edcecd1a --- /dev/null +++ b/examples_portfolios/m6/example_m6_entry.py @@ -0,0 +1,11 @@ +from precise.skatertools.m6.competition import m6_competition_entry, m6_dump +from precise.whereami import M6_EXAMPLES +import os +import time + +# Example of creating an M6 Competition entry using random choice of cov estimation and port construction + +if __name__=='__main__': + df = m6_competition_entry() + timestamped_csv_file = os.path.join(M6_EXAMPLES, 'full', 'm6_' + time.strftime("%Y%m%d-%H%M%S") + '.csv') + m6_dump(df=df,file_name=timestamped_csv_file) \ No newline at end of file diff --git a/examples_portfolios/m6/example_m6_entry_choosing_cov_estimator.py b/examples_portfolios/m6/example_m6_entry_choosing_cov_estimator.py new file mode 100644 index 00000000..27a75354 --- /dev/null +++ b/examples_portfolios/m6/example_m6_entry_choosing_cov_estimator.py @@ -0,0 +1,12 @@ +from precise.skatertools.m6.competition import m6_competition_entry, m6_dump +from precise.whereami import M6_EXAMPLES +import os +import time + +# Example of creating an M6 Competition entry and choosing a method of predicting covariancecomparisonutil + +if __name__=='__main__': + from precise.skaters.covariance.bufsk import buf_sk_oas_pcov_d0_n100 as f # Sklearn's Oracle Approx implementation + df = m6_competition_entry(f=f) + timestamped_csv_file = os.path.join(M6_EXAMPLES, 'full', 'm6_' + time.strftime("%Y%m%d-%H%M%S") + '.csv') + m6_dump(df=df,file_name=timestamped_csv_file) \ No newline at end of file diff --git a/examples_portfolios/m6/example_m6_entry_choosing_love_hate.py b/examples_portfolios/m6/example_m6_entry_choosing_love_hate.py new file mode 100644 index 00000000..57f7f02d --- /dev/null +++ b/examples_portfolios/m6/example_m6_entry_choosing_love_hate.py @@ -0,0 +1,13 @@ +from precise.skatertools.m6.competition import m6_competition_entry, m6_dump +from precise.whereami import M6_EXAMPLES +import os +import time + +# Example of creating an M6 Competition entry with some loved and hated tickers + +if __name__=='__main__': + love = ['IAU'] # Peruse https://github.com/microprediction/m6/blob/main/data/official/M6_Universe.csv + hate = ['REET','XLB'] # Not investment advice + df = m6_competition_entry(love=love, hate=hate) + timestamped_csv_file = os.path.join(M6_EXAMPLES, 'full', 'm6_' + time.strftime("%Y%m%d-%H%M%S") + '.csv') + m6_dump(df=df,file_name=timestamped_csv_file) \ No newline at end of file diff --git a/examples_portfolios/m6/example_m6_entry_choosing_portfolio_method.py b/examples_portfolios/m6/example_m6_entry_choosing_portfolio_method.py new file mode 100644 index 00000000..e8db2ce8 --- /dev/null +++ b/examples_portfolios/m6/example_m6_entry_choosing_portfolio_method.py @@ -0,0 +1,12 @@ +from precise.skatertools.m6.competition import m6_competition_entry, m6_dump +from precise.whereami import M6_EXAMPLES +import os +import time + +# Example of creating an M6 Competition entry and choosing a method of constructing a portfolio + +if __name__=='__main__': + from precise.skaters.portfoliostatic.hrpport import hrp_unit_unit_s5_port as port + df = m6_competition_entry(port=port) + timestamped_csv_file = os.path.join(M6_EXAMPLES, 'full', 'm6_' + time.strftime("%Y%m%d-%H%M%S") + '.csv') + m6_dump(df=df,file_name=timestamped_csv_file) \ No newline at end of file diff --git a/examples_portfolios/m6/example_m6_entry_minimalist.py b/examples_portfolios/m6/example_m6_entry_minimalist.py new file mode 100644 index 00000000..8bd514a9 --- /dev/null +++ b/examples_portfolios/m6/example_m6_entry_minimalist.py @@ -0,0 +1,4 @@ +if __name__=='__main__': + from precise import m6_competition_entry, m6_dump + df = m6_competition_entry() + m6_dump(df=df, file_name='my_entry.csv') diff --git a/examples_portfolios/m6/example_m6_entry_quick_debug.py b/examples_portfolios/m6/example_m6_entry_quick_debug.py new file mode 100644 index 00000000..8fdfa7df --- /dev/null +++ b/examples_portfolios/m6/example_m6_entry_quick_debug.py @@ -0,0 +1,8 @@ +from precise.skatertools.m6.competition import m6_competition_entry, m6_dump +from pprint import pprint + +# Example of creating an M6 Competition entry using less than the full set of tickers + +if __name__=='__main__': + df = m6_competition_entry(n_dim=10) + pprint(df) diff --git a/examples_portfolios/m6/full/README.md b/examples_portfolios/m6/full/README.md new file mode 100644 index 00000000..301d8be7 --- /dev/null +++ b/examples_portfolios/m6/full/README.md @@ -0,0 +1,8 @@ +Example entries for the [M6 Financial Forecasting Competition](https://m6competition.com/) + +Feel free to use these as baselines, if you are kind enough to [cite](https://github.com/microprediction/microprediction/blob/master/CITE.md). + + + from precise import m6_competition_entry + m6_competition_entry() + diff --git a/examples_portfolios/m6/full/__init__.py b/examples_portfolios/m6/full/__init__.py new file mode 100644 index 00000000..e69de29b diff --git a/examples_portfolios/m6/full/m6_20220202-133420.csv b/examples_portfolios/m6/full/m6_20220202-133420.csv new file mode 100644 index 00000000..2eec3945 --- /dev/null +++ b/examples_portfolios/m6/full/m6_20220202-133420.csv @@ -0,0 +1,101 @@ +,0,1,2,3,4,Decision +ABBV,0.1406,0.2508,0.2232,0.2466,0.1388,0.02257 +ACN,0.2768,0.1656,0.1166,0.17,0.271,-0.00382 +AEP,0.1082,0.2788,0.2334,0.2666,0.113,0.01889 +AIZ,0.16,0.2404,0.2022,0.2382,0.1592,0.01127 +ALLE,0.2114,0.218,0.1528,0.2102,0.2076,-0.00141 +AMAT,0.365,0.1042,0.0724,0.1088,0.3496,-0.00034 +AMP,0.2446,0.1866,0.1388,0.1954,0.2346,-0.00098 +AMZN,0.2892,0.158,0.104,0.1594,0.2894,0.0061 +AVB,0.1722,0.2354,0.1856,0.2378,0.169,0.01114 +AVY,0.2346,0.1898,0.1376,0.195,0.243,-0.00539 +AXP,0.3156,0.1274,0.0988,0.139,0.3192,0.00911 +BDX,0.1518,0.256,0.1928,0.2346,0.1648,0.01154 +BF-B,0.1744,0.2258,0.1948,0.234,0.171,0.00866 +BMY,0.1804,0.225,0.1808,0.2286,0.1852,0.01137 +BR,0.2842,0.1614,0.1218,0.1618,0.2708,-0.00419 +CARR,0.2444,0.1868,0.1398,0.1914,0.2376,-0.00632 +CDW,0.2436,0.1946,0.1374,0.1952,0.2292,0.00614 +CE,0.232,0.1944,0.141,0.1996,0.233,0.00186 +CHTR,0.2652,0.1724,0.1302,0.1628,0.2694,0.00135 +CNC,0.256,0.1804,0.1382,0.1782,0.2472,0.00804 +CNP,0.117,0.2732,0.2286,0.2602,0.121,0.01214 +COP,0.3056,0.146,0.0986,0.1394,0.3104,0.00743 +CTAS,0.2258,0.208,0.1356,0.1982,0.2324,0.00178 +CZR,0.3722,0.0944,0.0608,0.0944,0.3782,0.00135 +DG,0.2556,0.1794,0.1272,0.1786,0.2592,0.01522 +DPZ,0.312,0.1376,0.1048,0.1336,0.312,0.00733 +DRE,0.2076,0.2212,0.1584,0.2114,0.2014,0.00919 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b/examples_portfolios/m6/full/m6_20220202-151739.csv new file mode 100644 index 00000000..891f0523 --- /dev/null +++ b/examples_portfolios/m6/full/m6_20220202-151739.csv @@ -0,0 +1,101 @@ +ID,Rank1,Rank2,Rank3,Rank4,Rank5,Decision +ABBV,0.1894,0.2248,0.1738,0.233,0.179,0.01063 +ACN,0.219,0.2056,0.15,0.202,0.2234,0.00914 +AEP,0.1446,0.251,0.2098,0.2446,0.15,0.01238 +AIZ,0.1806,0.2336,0.1852,0.2318,0.1688,0.01083 +ALLE,0.2304,0.2102,0.148,0.1894,0.222,0.00874 +AMAT,0.3372,0.1208,0.0834,0.1258,0.3328,0.00375 +AMP,0.2526,0.183,0.1336,0.1848,0.246,0.00758 +AMZN,0.2584,0.1714,0.127,0.181,0.2622,0.00733 +AVB,0.1768,0.2324,0.1754,0.2328,0.1826,0.0108 +AVY,0.2344,0.197,0.1454,0.1994,0.2238,0.0087 +AXP,0.2822,0.1648,0.1114,0.1544,0.2872,0.0061 +BDX,0.1766,0.2382,0.187,0.22,0.1782,0.01086 +BF-B,0.204,0.2194,0.1644,0.212,0.2002,0.00977 +BMY,0.1984,0.2176,0.1694,0.2368,0.1778,0.01042 +BR,0.2146,0.2062,0.1578,0.2118,0.2096,0.00938 +CARR,0.2598,0.179,0.131,0.1748,0.2554,0.00726 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--git a/examples_portfolios/m6/full/m6_20220202-152213.csv b/examples_portfolios/m6/full/m6_20220202-152213.csv new file mode 100644 index 00000000..d5965607 --- /dev/null +++ b/examples_portfolios/m6/full/m6_20220202-152213.csv @@ -0,0 +1,101 @@ +ID,Rank1,Rank2,Rank3,Rank4,Rank5,Decision +ABBV,0.1652,0.2326,0.1982,0.2376,0.1664,0.01905 +ACN,0.2582,0.1654,0.132,0.187,0.2574,-0.00476 +AEP,0.1212,0.2664,0.232,0.2618,0.1186,0.01664 +AIZ,0.162,0.2386,0.1944,0.2408,0.1642,0.00991 +ALLE,0.2086,0.2074,0.154,0.2152,0.2148,-0.00692 +AMAT,0.3464,0.1058,0.0746,0.1154,0.3578,-0.00375 +AMP,0.229,0.1858,0.1408,0.1958,0.2486,-0.00167 +AMZN,0.268,0.1686,0.1212,0.175,0.2672,0.00738 +AVB,0.1786,0.24,0.1836,0.2222,0.1756,0.00745 +AVY,0.2356,0.2068,0.139,0.1842,0.2344,-0.00565 +AXP,0.298,0.1444,0.1032,0.146,0.3084,0.00473 +BDX,0.172,0.232,0.192,0.2408,0.1632,0.00831 +BF-B,0.1984,0.2248,0.1634,0.2244,0.189,0.00573 +BMY,0.1888,0.23,0.1776,0.2188,0.1848,0.00574 +BR,0.2444,0.1812,0.1458,0.1946,0.234,-0.00535 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+VXX,0.4174,0.0644,0.0428,0.0684,0.407,0.02974 diff --git a/examples_portfolios/m6/full/m6_20220202-152659.csv b/examples_portfolios/m6/full/m6_20220202-152659.csv new file mode 100644 index 00000000..b170d281 --- /dev/null +++ b/examples_portfolios/m6/full/m6_20220202-152659.csv @@ -0,0 +1,101 @@ +ID,Rank1,Rank2,Rank3,Rank4,Rank5,Decision +ABBV,0.1868,0.2314,0.1666,0.2284,0.1868,0.01064 +ACN,0.2208,0.2056,0.1534,0.2082,0.212,0.0092 +AEP,0.14,0.251,0.2132,0.259,0.1368,0.01245 +AIZ,0.1734,0.2296,0.1904,0.2302,0.1764,0.01094 +ALLE,0.2272,0.2004,0.1512,0.1988,0.2224,0.00906 +AMAT,0.3344,0.1178,0.0788,0.1238,0.3452,0.00392 +AMP,0.2534,0.187,0.1346,0.1818,0.2432,0.00794 +AMZN,0.2646,0.1816,0.122,0.1778,0.254,0.00746 +AVB,0.179,0.23,0.1778,0.231,0.1822,0.01089 +AVY,0.2238,0.2032,0.1464,0.203,0.2236,0.00906 +AXP,0.2914,0.1598,0.116,0.157,0.2758,0.00638 +BDX,0.1802,0.2254,0.184,0.237,0.1734,0.01098 +BF-B,0.2086,0.2136,0.1534,0.217,0.2074,0.00986 +BMY,0.181,0.2288,0.1766,0.2238,0.1898,0.01063 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b/examples_portfolios/m6/full/m6_20220202-161126.csv new file mode 100644 index 00000000..37562196 --- /dev/null +++ b/examples_portfolios/m6/full/m6_20220202-161126.csv @@ -0,0 +1,101 @@ +ID,Rank1,Rank2,Rank3,Rank4,Rank5,Decision +ABBV,0.1422,0.2452,0.2068,0.2568,0.149,0.01183 +ACN,0.2514,0.1858,0.1352,0.1746,0.253,0.00622 +AEP,0.1354,0.2582,0.2156,0.2644,0.1264,0.013 +AIZ,0.1578,0.2322,0.2,0.2416,0.1684,0.01111 +ALLE,0.2358,0.1888,0.1438,0.2046,0.227,0.00777 +AMAT,0.3432,0.114,0.0746,0.1138,0.3544,0.00253 +AMP,0.2604,0.1794,0.1294,0.1776,0.2532,0.00631 +AMZN,0.2676,0.168,0.1258,0.1682,0.2704,0.006 +AVB,0.1758,0.2338,0.1706,0.232,0.1878,0.01012 +AVY,0.2486,0.1816,0.1352,0.1844,0.2502,0.00679 +AXP,0.307,0.1374,0.1082,0.139,0.3084,0.00415 +BDX,0.1712,0.2312,0.1828,0.235,0.1798,0.01063 +BF-B,0.1924,0.2118,0.1628,0.2362,0.1968,0.00929 +BMY,0.2086,0.2162,0.166,0.2164,0.1928,0.00921 +BR,0.2524,0.1764,0.1358,0.1828,0.2526,0.00677 +CARR,0.2654,0.1794,0.1242,0.1656,0.2654,0.00608 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+VXX,0.4136,0.0618,0.0446,0.0696,0.4104,0.00077 diff --git a/examples_portfolios/m6/full/m6_20220202-162338.csv b/examples_portfolios/m6/full/m6_20220202-162338.csv new file mode 100644 index 00000000..8746f19f --- /dev/null +++ b/examples_portfolios/m6/full/m6_20220202-162338.csv @@ -0,0 +1,101 @@ +ID,Rank1,Rank2,Rank3,Rank4,Rank5,Decision +ABBV,0.1436,0.252,0.2082,0.2516,0.1446,0.0225 +ACN,0.2642,0.1664,0.1196,0.1604,0.2894,-0.00388 +AEP,0.1194,0.2698,0.2394,0.2664,0.105,0.01891 +AIZ,0.1522,0.246,0.1882,0.2594,0.1542,0.01118 +ALLE,0.2062,0.199,0.1636,0.2212,0.21,-0.00139 +AMAT,0.3616,0.1026,0.0642,0.0988,0.3728,-0.00037 +AMP,0.2414,0.1818,0.1426,0.1966,0.2376,-0.00107 +AMZN,0.2854,0.1528,0.1098,0.1526,0.2994,0.00607 +AVB,0.1672,0.2402,0.1856,0.237,0.17,0.0111 +AVY,0.244,0.178,0.1374,0.1964,0.2442,-0.0053 +AXP,0.3172,0.1498,0.0902,0.1316,0.3112,0.0091 +BDX,0.1644,0.2498,0.1936,0.2404,0.1518,0.01153 +BF-B,0.1794,0.2282,0.18,0.2348,0.1776,0.00859 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mode 100644 index 00000000..d4625c75 --- /dev/null +++ b/examples_portfolios/m6/full/m6_20220202-163302.csv @@ -0,0 +1,101 @@ +ID,Rank1,Rank2,Rank3,Rank4,Rank5,Decision +ABBV,0.144,0.2522,0.207,0.2574,0.1394,0.0238 +ACN,0.2642,0.1644,0.1174,0.1736,0.2804,0.0 +AEP,0.1178,0.2784,0.221,0.27,0.1128,0.02 +AIZ,0.158,0.2438,0.1886,0.2502,0.1594,0.01183 +ALLE,0.202,0.2188,0.169,0.218,0.1922,0.0 +AMAT,0.3634,0.0974,0.071,0.0952,0.373,0.0 +AMP,0.2418,0.1864,0.1344,0.188,0.2494,0.0 +AMZN,0.2936,0.1542,0.1038,0.1452,0.3032,0.00642 +AVB,0.1796,0.2372,0.1804,0.2342,0.1686,0.01174 +AVY,0.237,0.1922,0.1388,0.1982,0.2338,0.0 +AXP,0.3136,0.136,0.0978,0.1346,0.318,0.00962 +BDX,0.159,0.244,0.1946,0.2428,0.1596,0.0122 +BF-B,0.1842,0.2328,0.1812,0.218,0.1838,0.00909 +BMY,0.1842,0.2252,0.1852,0.2274,0.178,0.01204 +BR,0.268,0.1698,0.12,0.1658,0.2764,0.0 +CARR,0.236,0.1932,0.1456,0.1852,0.24,0.0 +CDW,0.2454,0.1898,0.1312,0.1892,0.2444,0.00634 +CE,0.2352,0.1928,0.1444,0.1966,0.231,0.00192 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b/examples_portfolios/m6/full/m6_20220202-163734.csv new file mode 100644 index 00000000..5dfbe6ea --- /dev/null +++ b/examples_portfolios/m6/full/m6_20220202-163734.csv @@ -0,0 +1,101 @@ +ID,Rank1,Rank2,Rank3,Rank4,Rank5,Decision +ABBV,0.1488,0.2516,0.2098,0.248,0.1418,0.02673 +ACN,0.274,0.1718,0.1112,0.1638,0.2792,0.0 +AEP,0.105,0.2672,0.243,0.271,0.1138,0.02081 +AIZ,0.15,0.2532,0.198,0.242,0.1568,0.01142 +ALLE,0.1964,0.225,0.1636,0.219,0.196,0.0 +AMAT,0.3616,0.0966,0.072,0.1006,0.3692,0.0 +AMP,0.2392,0.1874,0.135,0.1916,0.2468,0.0 +AMZN,0.2894,0.1548,0.111,0.158,0.2868,0.00491 +AVB,0.1756,0.2138,0.1962,0.2456,0.1688,0.01223 +AVY,0.231,0.1922,0.1534,0.1944,0.229,0.0 +AXP,0.3224,0.1314,0.0996,0.141,0.3056,0.01088 +BDX,0.162,0.2432,0.1916,0.2474,0.1558,0.01269 +BF-B,0.1776,0.2316,0.1814,0.2262,0.1832,0.00827 +BMY,0.1856,0.2272,0.1826,0.2258,0.1788,0.0125 +BR,0.2756,0.1682,0.1084,0.1616,0.2862,0.0 +CARR,0.2378,0.1958,0.1334,0.191,0.242,0.0 +CDW,0.2454,0.1898,0.1252,0.1942,0.2454,0.00448 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a/examples_portfolios/m6/full/m6_20220202-173113.csv b/examples_portfolios/m6/full/m6_20220202-173113.csv new file mode 100644 index 00000000..b315f0b2 --- /dev/null +++ b/examples_portfolios/m6/full/m6_20220202-173113.csv @@ -0,0 +1,101 @@ +ID,Rank1,Rank2,Rank3,Rank4,Rank5,Decision +ABBV,0.15,0.2458,0.2078,0.2412,0.1552,0.02527 +ACN,0.262,0.1776,0.1236,0.1716,0.2652,0.0 +AEP,0.1432,0.2538,0.2112,0.253,0.1388,0.01858 +AIZ,0.162,0.2366,0.199,0.238,0.1644,0.01118 +ALLE,0.2162,0.2026,0.1492,0.2052,0.2268,0.0 +AMAT,0.356,0.1114,0.0784,0.1096,0.3446,0.00039 +AMP,0.263,0.1776,0.1362,0.1748,0.2484,0.0 +AMZN,0.2732,0.1662,0.1274,0.1666,0.2666,0.00789 +AVB,0.1814,0.2264,0.1896,0.217,0.1856,0.00686 +AVY,0.2416,0.176,0.144,0.1904,0.248,0.0 +AXP,0.3108,0.141,0.0996,0.1502,0.2984,0.00232 +BDX,0.1688,0.2424,0.1762,0.2322,0.1804,0.00435 +BF-B,0.1862,0.222,0.185,0.2114,0.1954,0.00491 +BMY,0.1776,0.2154,0.175,0.2272,0.2048,0.0 +BR,0.2524,0.1808,0.1364,0.1856,0.2448,0.0 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a/examples_portfolios/m6/full/m6_20220202-173532.csv b/examples_portfolios/m6/full/m6_20220202-173532.csv new file mode 100644 index 00000000..9227f5b4 --- /dev/null +++ b/examples_portfolios/m6/full/m6_20220202-173532.csv @@ -0,0 +1,101 @@ +ID,Rank1,Rank2,Rank3,Rank4,Rank5,Decision +ABBV,0.191,0.1976,0.2044,0.214,0.193,0.01006 +ACN,0.2028,0.2026,0.192,0.2052,0.1974,0.0099 +AEP,0.1958,0.2024,0.2012,0.1954,0.2052,0.01006 +AIZ,0.1988,0.2046,0.2026,0.199,0.195,0.00994 +ALLE,0.1948,0.196,0.1956,0.2156,0.198,0.00994 +AMAT,0.203,0.1964,0.2078,0.199,0.1938,0.00976 +AMP,0.207,0.1942,0.2042,0.1962,0.1984,0.00982 +AMZN,0.2002,0.198,0.1992,0.1984,0.2042,0.00998 +AVB,0.2046,0.2036,0.1966,0.1918,0.2034,0.00997 +AVY,0.2004,0.1994,0.2032,0.1858,0.2112,0.00996 +AXP,0.2024,0.1962,0.1988,0.211,0.1916,0.00988 +BDX,0.1994,0.1992,0.2098,0.1916,0.2,0.01011 +BF-B,0.2044,0.2014,0.1996,0.1976,0.197,0.01001 +BMY,0.1962,0.1968,0.1974,0.2018,0.2078,0.01011 +BR,0.1974,0.2152,0.2016,0.1938,0.192,0.00995 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00000000..8dd4e7f9 --- /dev/null +++ b/examples_portfolios/m6/full/m6_20220202-192900.csv @@ -0,0 +1,101 @@ +ID,Rank1,Rank2,Rank3,Rank4,Rank5,Decision +ABBV,0.1556,0.2462,0.1932,0.2426,0.1624,0.02314 +ACN,0.2596,0.1796,0.129,0.1758,0.256,0.0 +AEP,0.1208,0.2554,0.233,0.2608,0.13,0.02154 +AIZ,0.1624,0.242,0.1856,0.2426,0.1674,0.01054 +ALLE,0.2302,0.2028,0.1552,0.1952,0.2166,0.0 +AMAT,0.3544,0.1078,0.0744,0.115,0.3484,0.00074 +AMP,0.2434,0.1898,0.1392,0.1824,0.2452,0.0 +AMZN,0.27,0.1666,0.1304,0.162,0.271,0.00958 +AVB,0.167,0.2388,0.1818,0.2312,0.1812,0.01027 +AVY,0.2268,0.1958,0.1494,0.2034,0.2246,0.0 +AXP,0.3014,0.147,0.0986,0.1546,0.2984,0.00763 +BDX,0.1652,0.2434,0.1894,0.2354,0.1666,0.00896 +BF-B,0.1934,0.218,0.1664,0.2296,0.1926,0.00699 +BMY,0.1826,0.2282,0.1698,0.218,0.2014,0.00442 +BR,0.2524,0.1766,0.1392,0.1904,0.2414,0.0 +CARR,0.2478,0.181,0.1346,0.1894,0.2472,0.0 +CDW,0.2444,0.1874,0.1308,0.1886,0.2488,0.00802 +CE,0.2478,0.194,0.1382,0.1752,0.2448,0.0 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b/examples_portfolios/m6/full/m6_20220202-193312.csv new file mode 100644 index 00000000..567f68cc --- /dev/null +++ b/examples_portfolios/m6/full/m6_20220202-193312.csv @@ -0,0 +1,101 @@ +ID,Rank1,Rank2,Rank3,Rank4,Rank5,Decision +ABBV,0.1816,0.2252,0.1686,0.2268,0.1978,0.01065 +ACN,0.2128,0.2106,0.1532,0.1948,0.2286,0.0092 +AEP,0.1332,0.258,0.2136,0.2556,0.1396,0.01242 +AIZ,0.1782,0.2284,0.1754,0.2412,0.1768,0.01093 +ALLE,0.2188,0.2052,0.1516,0.2032,0.2212,0.00906 +AMAT,0.3434,0.1176,0.0754,0.117,0.3466,0.00391 +AMP,0.2562,0.182,0.1392,0.1826,0.24,0.00794 +AMZN,0.2546,0.1752,0.127,0.1808,0.2624,0.00746 +AVB,0.1828,0.23,0.1784,0.2216,0.1872,0.01089 +AVY,0.2262,0.2004,0.1516,0.204,0.2178,0.00913 +AXP,0.2794,0.1682,0.1108,0.1634,0.2782,0.00638 +BDX,0.1744,0.237,0.173,0.2328,0.1828,0.01097 +BF-B,0.1998,0.2164,0.1554,0.2312,0.1972,0.00985 +BMY,0.191,0.22,0.168,0.2192,0.2018,0.01062 +BR,0.2078,0.2196,0.1554,0.2058,0.2114,0.00946 +CARR,0.2498,0.1778,0.131,0.179,0.2624,0.00767 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--git a/examples_portfolios/m6/full/m6_20220202-193745.csv b/examples_portfolios/m6/full/m6_20220202-193745.csv new file mode 100644 index 00000000..c5353c74 --- /dev/null +++ b/examples_portfolios/m6/full/m6_20220202-193745.csv @@ -0,0 +1,101 @@ +ID,Rank1,Rank2,Rank3,Rank4,Rank5,Decision +ABBV,0.1384,0.2534,0.2144,0.2544,0.1394,0.01727 +ACN,0.2818,0.159,0.1144,0.154,0.2908,-0.0058 +AEP,0.111,0.2802,0.2408,0.2564,0.1116,0.02324 +AIZ,0.169,0.2464,0.1784,0.2262,0.18,0.00901 +ALLE,0.2282,0.194,0.148,0.2028,0.227,-0.01142 +AMAT,0.3578,0.1012,0.0784,0.1036,0.359,0.00296 +AMP,0.251,0.1744,0.1272,0.1904,0.257,-0.00415 +AMZN,0.2544,0.1796,0.1314,0.1722,0.2624,0.01353 +AVB,0.1968,0.218,0.17,0.2286,0.1866,0.0104 +AVY,0.2392,0.1908,0.136,0.19,0.244,-0.00573 +AXP,0.3188,0.1346,0.1028,0.1316,0.3122,0.00366 +BDX,0.1778,0.23,0.1882,0.2368,0.1672,0.00408 +BF-B,0.2056,0.2202,0.1604,0.2168,0.197,0.00081 +BMY,0.1988,0.207,0.173,0.207,0.2142,-0.00097 +BR,0.2528,0.1798,0.136,0.1766,0.2548,-0.00202 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+VXX,0.426,0.055,0.0358,0.056,0.4272,0.03129 diff --git a/examples_portfolios/m6/full/m6_20220202-194203.csv b/examples_portfolios/m6/full/m6_20220202-194203.csv new file mode 100644 index 00000000..f22f7914 --- /dev/null +++ b/examples_portfolios/m6/full/m6_20220202-194203.csv @@ -0,0 +1,101 @@ +ID,Rank1,Rank2,Rank3,Rank4,Rank5,Decision +ABBV,0.1802,0.2314,0.1748,0.2424,0.1712,0.0 +ACN,0.221,0.2046,0.1506,0.2044,0.2194,0.0 +AEP,0.139,0.2596,0.2062,0.2544,0.1408,0.0 +AIZ,0.176,0.229,0.178,0.234,0.183,0.0 +ALLE,0.2198,0.1942,0.1524,0.2076,0.226,0.0 +AMAT,0.3434,0.1138,0.0754,0.1102,0.3572,0.0 +AMP,0.2488,0.1872,0.136,0.1814,0.2466,0.0 +AMZN,0.2612,0.1746,0.1274,0.1726,0.2642,0.0 +AVB,0.184,0.2252,0.1702,0.2358,0.1848,0.0 +AVY,0.2178,0.1978,0.15,0.2078,0.2266,0.0 +AXP,0.2754,0.1624,0.1174,0.1544,0.2904,0.0 +BDX,0.1778,0.2226,0.1744,0.2504,0.1748,0.0 +BF-B,0.2112,0.2126,0.1612,0.2158,0.1992,0.0 +BMY,0.1884,0.2262,0.1774,0.2266,0.1814,0.0 +BR,0.2106,0.2078,0.1658,0.212,0.2038,0.0 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a/examples_portfolios/m6/full/m6_20220202-210046.csv b/examples_portfolios/m6/full/m6_20220202-210046.csv new file mode 100644 index 00000000..de21f8dd --- /dev/null +++ b/examples_portfolios/m6/full/m6_20220202-210046.csv @@ -0,0 +1,101 @@ +ID,Rank1,Rank2,Rank3,Rank4,Rank5,Decision +ABBV,0.1528,0.244,0.208,0.2454,0.1498,0.02707 +ACN,0.2668,0.1754,0.1348,0.1694,0.2536,0.0 +AEP,0.131,0.2624,0.2154,0.2546,0.1366,0.0 +AIZ,0.1696,0.2238,0.2,0.2474,0.1592,0.0 +ALLE,0.2336,0.1962,0.146,0.1948,0.2294,0.0 +AMAT,0.351,0.1096,0.072,0.1168,0.3506,0.0 +AMP,0.2508,0.1928,0.1262,0.1842,0.246,0.0 +AMZN,0.2642,0.1754,0.1272,0.171,0.2622,0.0 +AVB,0.1766,0.222,0.1838,0.228,0.1896,0.0 +AVY,0.2464,0.1916,0.1316,0.1894,0.241,0.00053 +AXP,0.305,0.1474,0.0982,0.1514,0.298,0.01213 +BDX,0.1644,0.2288,0.193,0.2358,0.178,0.0 +BF-B,0.1932,0.2238,0.1746,0.2176,0.1908,0.0 +BMY,0.1954,0.2214,0.16,0.2214,0.2018,0.0 +BR,0.2476,0.2016,0.1426,0.1768,0.2314,0.0 +CARR,0.2644,0.1848,0.131,0.1674,0.2524,0.0 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index 00000000..fffcbabf --- /dev/null +++ b/examples_portfolios/m6/full/m6_20220202-215744.csv @@ -0,0 +1,101 @@ +ID,Rank1,Rank2,Rank3,Rank4,Rank5,Decision +ABBV,0.1614,0.2466,0.1852,0.2514,0.1554,0.01387 +ACN,0.258,0.175,0.1242,0.1878,0.255,0.00535 +AEP,0.1236,0.2606,0.2296,0.2602,0.126,0.01178 +AIZ,0.1596,0.2428,0.1952,0.2412,0.1612,0.00622 +ALLE,0.2102,0.2116,0.1526,0.2118,0.2138,0.00462 +AMAT,0.3402,0.1186,0.0804,0.109,0.3518,0.00686 +AMP,0.2436,0.1794,0.1368,0.192,0.2482,0.00811 +AMZN,0.265,0.1698,0.1292,0.171,0.265,0.0042 +AVB,0.1784,0.227,0.1858,0.2264,0.1824,1e-05 +AVY,0.2318,0.19,0.1528,0.2018,0.2236,0.00423 +AXP,0.2912,0.1486,0.1142,0.1462,0.2998,0.0031 +BDX,0.1742,0.2264,0.1992,0.2398,0.1604,0.01418 +BF-B,0.1962,0.218,0.1722,0.2196,0.194,0.01577 +BMY,0.1896,0.221,0.1836,0.225,0.1808,0.0148 +BR,0.2466,0.1894,0.1322,0.1896,0.2422,0.00496 +CARR,0.2412,0.1862,0.137,0.1822,0.2534,0.0078 +CDW,0.24,0.1898,0.1388,0.185,0.2464,0.00418 +CE,0.2448,0.1948,0.1414,0.1876,0.2314,0.00791 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b/examples_portfolios/m6/full/m6_20220204-131846.csv new file mode 100644 index 00000000..3cf845c2 --- /dev/null +++ b/examples_portfolios/m6/full/m6_20220204-131846.csv @@ -0,0 +1,101 @@ +ID,Rank1,Rank2,Rank3,Rank4,Rank5,Decision +ABBV,0.1578,0.2516,0.1826,0.2486,0.1594,0.01842 +ACN,0.2514,0.1794,0.124,0.1762,0.269,0.0 +AEP,0.1256,0.261,0.2304,0.2612,0.1218,0.01342 +AIZ,0.1584,0.2486,0.192,0.2444,0.1566,0.00942 +ALLE,0.2118,0.217,0.1646,0.2046,0.202,0.0049 +AMAT,0.3472,0.1114,0.0734,0.1072,0.3608,0.0 +AMP,0.2334,0.185,0.1378,0.1976,0.2462,0.0 +AMZN,0.294,0.161,0.1012,0.1596,0.2842,0.0069 +AVB,0.1812,0.2356,0.1816,0.2298,0.1718,0.00614 +AVY,0.2692,0.1674,0.1228,0.1766,0.264,0.00432 +AXP,0.2976,0.1514,0.108,0.1466,0.2964,0.00048 +BDX,0.2058,0.221,0.1626,0.2168,0.1938,0.01545 +BF-B,0.209,0.205,0.1658,0.225,0.1952,0.00988 +BMY,0.1828,0.2384,0.17,0.2182,0.1906,0.01457 +BR,0.2492,0.1886,0.133,0.1808,0.2484,0.0077 +CARR,0.2604,0.178,0.1354,0.1822,0.244,0.00316 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diff --git a/examples_portfolios/m6/full/m6_20220204-131901.csv b/examples_portfolios/m6/full/m6_20220204-131901.csv new file mode 100644 index 00000000..a72e1582 --- /dev/null +++ b/examples_portfolios/m6/full/m6_20220204-131901.csv @@ -0,0 +1,101 @@ +ID,Rank1,Rank2,Rank3,Rank4,Rank5,Decision +ABBV,0.1654,0.2436,0.203,0.2262,0.1618,0.02083 +ACN,0.2516,0.1622,0.14,0.1782,0.268,0.0 +AEP,0.1476,0.2478,0.2332,0.2392,0.1322,0.01274 +AIZ,0.1696,0.2364,0.2102,0.2144,0.1694,0.01023 +ALLE,0.2254,0.1868,0.1726,0.1914,0.2238,0.0 +AMAT,0.3448,0.105,0.0908,0.1088,0.3506,0.0 +AMP,0.2468,0.185,0.1386,0.1818,0.2478,0.0 +AMZN,0.26,0.1694,0.1328,0.169,0.2688,0.00503 +AVB,0.1864,0.2162,0.199,0.2176,0.1808,0.00139 +AVY,0.261,0.1682,0.1432,0.1644,0.2632,0.0 +AXP,0.293,0.1432,0.113,0.1434,0.3074,0.00058 +BDX,0.1916,0.2112,0.1926,0.2136,0.191,0.00611 +BF-B,0.2022,0.2026,0.1886,0.208,0.1986,0.00304 +BMY,0.194,0.2154,0.1868,0.205,0.1988,0.00224 +BR,0.239,0.1768,0.1566,0.1882,0.2394,0.0 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--git a/examples_portfolios/m6/full/m6_20220204-132029.csv b/examples_portfolios/m6/full/m6_20220204-132029.csv new file mode 100644 index 00000000..f64f0a19 --- /dev/null +++ b/examples_portfolios/m6/full/m6_20220204-132029.csv @@ -0,0 +1,101 @@ +ID,Rank1,Rank2,Rank3,Rank4,Rank5,Decision +ABBV,0.1614,0.249,0.1818,0.2466,0.1612,0.00772 +ACN,0.2598,0.1788,0.128,0.1716,0.2618,0.01281 +AEP,0.1242,0.2728,0.2218,0.266,0.1152,0.01556 +AIZ,0.1618,0.247,0.191,0.2454,0.1548,0.00411 +ALLE,0.221,0.1956,0.1528,0.2064,0.2242,0.00177 +AMAT,0.3524,0.1228,0.072,0.1044,0.3484,0.01077 +AMP,0.2436,0.1902,0.1216,0.1918,0.2528,0.00254 +AMZN,0.2998,0.1492,0.1088,0.1468,0.2954,0.00464 +AVB,0.1764,0.2394,0.1816,0.2282,0.1744,0.00939 +AVY,0.2398,0.1886,0.1296,0.1994,0.2426,0.00758 +AXP,0.2914,0.1584,0.1092,0.1534,0.2876,0.00266 +BDX,0.205,0.2188,0.1676,0.2186,0.19,0.00406 +BF-B,0.2,0.231,0.158,0.2198,0.1912,0.01226 +BMY,0.1944,0.2158,0.1784,0.224,0.1874,0.00996 +BR,0.2528,0.1728,0.1358,0.179,0.2596,0.01199 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+VXX,0.4114,0.0604,0.0402,0.0642,0.4238,0.00045 diff --git a/examples_portfolios/m6/full/m6_20220204-133630.csv b/examples_portfolios/m6/full/m6_20220204-133630.csv new file mode 100644 index 00000000..f46515b4 --- /dev/null +++ b/examples_portfolios/m6/full/m6_20220204-133630.csv @@ -0,0 +1,101 @@ +ID,Rank1,Rank2,Rank3,Rank4,Rank5,Decision +ABBV,0.1658,0.2332,0.193,0.2438,0.1642,0.01503 +ACN,0.254,0.1808,0.127,0.1814,0.2568,0.0169 +AEP,0.1194,0.2604,0.2288,0.2718,0.1196,0.01149 +AIZ,0.1574,0.2336,0.1992,0.2536,0.1562,0.00581 +ALLE,0.21,0.2094,0.156,0.2096,0.215,0.00351 +AMAT,0.3554,0.1078,0.0756,0.1082,0.353,0.00151 +AMP,0.2368,0.1924,0.1456,0.1758,0.2494,0.00173 +AMZN,0.2876,0.1582,0.1104,0.153,0.2908,0.00374 +AVB,0.174,0.234,0.188,0.2272,0.1768,0.00342 +AVY,0.27,0.1674,0.1208,0.1746,0.2672,0.00158 +AXP,0.306,0.1422,0.0984,0.1582,0.2952,0.00137 +BDX,0.1828,0.2206,0.1694,0.2224,0.2048,0.01759 +BF-B,0.194,0.225,0.163,0.2196,0.1984,0.01528 +BMY,0.1816,0.2306,0.1754,0.2328,0.1796,0.01815 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+XLB,0.1408,0.2512,0.2116,0.2544,0.142,0.00703 +VXX,0.412,0.0656,0.0432,0.063,0.4162,0.04746 diff --git a/examples_portfolios/m6/full/m6_20220204-142316.csv b/examples_portfolios/m6/full/m6_20220204-142316.csv new file mode 100644 index 00000000..d80eb59a --- /dev/null +++ b/examples_portfolios/m6/full/m6_20220204-142316.csv @@ -0,0 +1,101 @@ +ID,Rank1,Rank2,Rank3,Rank4,Rank5,Decision +ABBV,0.1538,0.2432,0.2,0.2496,0.1534,0.01036 +ACN,0.2676,0.1754,0.122,0.176,0.259,-0.00286 +AEP,0.134,0.2602,0.226,0.2442,0.1356,0.00596 +AIZ,0.1756,0.2234,0.1936,0.2324,0.175,0.00509 +ALLE,0.231,0.2038,0.1462,0.1928,0.2262,-0.0046 +AMAT,0.3602,0.1038,0.0838,0.108,0.3442,0.00136 +AMP,0.2572,0.1686,0.1366,0.1658,0.2718,0.00067 +AMZN,0.2852,0.1562,0.1236,0.1632,0.2718,0.00418 +AVB,0.1964,0.212,0.1756,0.2342,0.1818,-0.00025 +AVY,0.2626,0.1696,0.1304,0.1768,0.2606,-0.00178 +AXP,0.3074,0.1426,0.0996,0.144,0.3064,-0.00034 +BDX,0.2002,0.2168,0.1624,0.2164,0.2042,-0.00208 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+XLC,0.205,0.1952,0.1882,0.1992,0.2124,0.0 +XLU,0.1306,0.2472,0.241,0.2494,0.1318,0.00293 +XLP,0.0938,0.2636,0.2852,0.2692,0.0882,0.00988 +XLB,0.1644,0.231,0.2184,0.2352,0.151,0.0 +VXX,0.426,0.0608,0.0452,0.0558,0.4122,0.00924 diff --git a/examples_portfolios/m6/m6_competition_entry.ipynb b/examples_portfolios/m6/m6_competition_entry.ipynb new file mode 100644 index 00000000..3b1f825d --- /dev/null +++ b/examples_portfolios/m6/m6_competition_entry.ipynb @@ -0,0 +1,146 @@ +{ + "nbformat": 4, + "nbformat_minor": 0, + "metadata": { + "colab": { + "name": "m6_competition_entry.ipynb", + "provenance": [], + "authorship_tag": "ABX9TyNGzwgumNFE0UrfT87aFfBM", + "include_colab_link": true + }, + "kernelspec": { + "name": "python3", + "display_name": "Python 3" + }, + "language_info": { + "name": "python" + } + }, + "cells": [ + { + "cell_type": "markdown", + "metadata": { + "id": "view-in-github", + "colab_type": "text" + }, + "source": [ + "\"Open" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "U6Mky28wX5y8" + }, + "outputs": [], + "source": [ + "!pip install git+https://github.com/microprediction/precise.git" + ] + }, + { + "cell_type": "markdown", + "source": [ + "## Entering M6 using the precise package\n", + "The precise package includes [csv examples](https://github.com/microprediction/precise/tree/main/examples_m6/full) of M6 competition entries. This notebook explains how they are created, but you may not be able to use the same data API from Google Colab (try it from your own machine instead). \n" + ], + "metadata": { + "id": "fY3DQOlwX-MU" + } + }, + { + "cell_type": "markdown", + "source": [ + "## The Lazy way\n", + "There's a script to generate M6 entries using a random choice of methods" + ], + "metadata": { + "id": "GnbsOTDna8YX" + } + }, + { + "cell_type": "code", + "source": [ + "from precise.skatertools.m6.competition import m6_competition_entry\n", + "random_entry = m6_competition_entry(verbose=False)" + ], + "metadata": { + "id": "9zM9q2CkbEU4" + }, + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "markdown", + "source": [ + "(yeah it will fail to get the data if run on Colab)" + ], + "metadata": { + "id": "3Itnn0nccZbY" + } + }, + { + "cell_type": "markdown", + "source": [ + "## Parameters to mess with\n", + "\n", + " interval - sampling interval to use for cov estimation\n", + " n_obs - number of time points to use in cov estimation (max 60 if interval='m')\n", + " n_dim - Set at 100 for actual contest, but lower to test\n", + " port - A portfolio creator (see /portfolioutil )\n", + " f - A cov skater\n", + " extra_shrink - If True, will perform additional shrinkage over and above the skater or portfolio method using\n", + " phi - (Additional) Ridge parameter, suggest (1,1.5)\n", + " lmbd - (Additional) Shrinkage parameter, suggest (0,0.5)\n" + ], + "metadata": { + "id": "3ZdNt-Hcco6e" + } + }, + { + "cell_type": "markdown", + "source": [ + "## Change the method of estimating cov\n", + "Pick a \"skater\" from somewhere in [precise/skaters/covariance](https://github.com/microprediction/precise/tree/main/precise/skaters/covariance)" + ], + "metadata": { + "id": "pRZVehHBc0yu" + } + }, + { + "cell_type": "code", + "source": [ + "from precise.skaters.covariance.bufhuber import buf_huber_pcov_d0_a05_b2_n100 as f \n", + "from precise.skaters.covariance.ewapm import ewa_pm_emp_scov_r01_n100_t0 as f \n", + "entry = m6_competition_entry(f=f, verbose=False)" + ], + "metadata": { + "id": "4Iz6A3WSc3AF" + }, + "execution_count": 5, + "outputs": [] + }, + { + "cell_type": "markdown", + "source": [ + "## Change the portfolio method\n", + "Pick a \"port\" function from somewhere in [precise/skaters/portfolioutil](https://github.com/microprediction/precise/tree/main/precise/skaters/portfolioutil)" + ], + "metadata": { + "id": "CICRLcxsdccF" + } + }, + { + "cell_type": "code", + "source": [ + "from precise.skaters.portfolioutil.weak import prc_weak_port as port\n", + "entry = m6_competition_entry(f=f, port=port, verbose=False)" + ], + "metadata": { + "id": "KgvOIh2ddoa2" + }, + "execution_count": null, + "outputs": [] + } + ] +} diff --git a/examples_portfolios/m6/partial/__init__.py b/examples_portfolios/m6/partial/__init__.py new file mode 100644 index 00000000..e69de29b diff --git a/examples_portfolios/m6/partial/m6_20220202-130554.csv b/examples_portfolios/m6/partial/m6_20220202-130554.csv new file mode 100644 index 00000000..9cc5e815 --- /dev/null +++ b/examples_portfolios/m6/partial/m6_20220202-130554.csv @@ -0,0 +1,11 @@ +,0,1,2,3,4,Decision +ABBV,0.1196,0.2478,0.2716,0.2514,0.1096,0.2689 +ACN,0.26,0.1702,0.1496,0.1674,0.2528,-0.03881 +AEP,0.094,0.263,0.3006,0.2508,0.0916,0.28272 +AIZ,0.134,0.236,0.253,0.2382,0.1388,0.10142 +ALLE,0.1854,0.2106,0.196,0.218,0.19,0.00256 +AMAT,0.3436,0.1044,0.0868,0.11,0.3552,-0.02581 +AMP,0.236,0.1778,0.1722,0.1856,0.2284,0.06879 +AMZN,0.2812,0.1508,0.1354,0.1522,0.2804,0.0099 +AVB,0.1384,0.2436,0.2456,0.2268,0.1456,0.10931 +AVY,0.2078,0.1958,0.1892,0.1996,0.2076,0.09178 diff --git a/examples_portfolios/m6/partial/m6_20220202-133923.csv b/examples_portfolios/m6/partial/m6_20220202-133923.csv new file mode 100644 index 00000000..b4e21ed4 --- /dev/null +++ b/examples_portfolios/m6/partial/m6_20220202-133923.csv @@ -0,0 +1,11 @@ +,0,1,2,3,4,Decision +ABBV,0.1244,0.2464,0.2526,0.246,0.1306,0.15958 +ACN,0.2336,0.1814,0.1638,0.1852,0.236,0.06684 +AEP,0.1084,0.2512,0.2866,0.2424,0.1114,0.18513 +AIZ,0.1308,0.239,0.2582,0.2362,0.1358,0.14567 +ALLE,0.2014,0.1988,0.2008,0.2,0.199,0.08818 +AMAT,0.3374,0.1096,0.0978,0.1134,0.3418,0.02394 +AMP,0.234,0.178,0.1794,0.1804,0.2282,0.06806 +AMZN,0.239,0.185,0.1606,0.175,0.2404,0.06352 +AVB,0.161,0.2276,0.234,0.2268,0.1506,0.12616 +AVY,0.23,0.183,0.1662,0.1946,0.2262,0.07292 diff --git a/examples_portfolios/m6/partial/m6_20220202-135320.csv b/examples_portfolios/m6/partial/m6_20220202-135320.csv new file mode 100644 index 00000000..3d7efecd --- /dev/null +++ b/examples_portfolios/m6/partial/m6_20220202-135320.csv @@ -0,0 +1,11 @@ +,0,1,2,3,4,Decision +ABBV,0.1614,0.2198,0.231,0.22,0.1678,0.17869 +ACN,0.1998,0.2028,0.1958,0.205,0.1966,0.07817 +AEP,0.1146,0.2478,0.2686,0.2514,0.1176,0.30369 +AIZ,0.155,0.2196,0.233,0.2306,0.1618,0.11987 +ALLE,0.2094,0.2018,0.1922,0.1918,0.2048,0.00085 +AMAT,0.3314,0.117,0.1104,0.1206,0.3206,-0.02884 +AMP,0.2278,0.1868,0.1718,0.185,0.2286,-0.0177 +AMZN,0.2446,0.1734,0.1608,0.1796,0.2416,0.0993 +AVB,0.1544,0.2348,0.2378,0.213,0.16,0.11716 +AVY,0.2016,0.1962,0.1986,0.203,0.2006,0.05574 diff --git a/examples_portfolios/m6/partial/m6_20220202-135355.csv b/examples_portfolios/m6/partial/m6_20220202-135355.csv new file mode 100644 index 00000000..3b4e77bb --- /dev/null +++ b/examples_portfolios/m6/partial/m6_20220202-135355.csv @@ -0,0 +1,11 @@ +,0,1,2,3,4,Decision +ABBV,0.1656,0.2242,0.2198,0.2274,0.163,0.20102 +ACN,0.2028,0.1994,0.1958,0.2032,0.1988,0.0583 +AEP,0.1308,0.2424,0.2684,0.2348,0.1236,0.28781 +AIZ,0.158,0.223,0.2374,0.2268,0.1548,0.12673 +ALLE,0.207,0.1948,0.1908,0.2046,0.2028,0.03072 +AMAT,0.3152,0.126,0.111,0.1182,0.3296,3e-05 +AMP,0.2298,0.1774,0.1758,0.1898,0.2272,-0.01323 +AMZN,0.2352,0.1804,0.1716,0.1786,0.2342,0.12562 +AVB,0.1574,0.2328,0.231,0.22,0.1588,0.11732 +AVY,0.1982,0.1996,0.1984,0.1966,0.2072,0.03922 diff --git a/examples_portfolios/m6/partial/m6_20220202-135622.csv b/examples_portfolios/m6/partial/m6_20220202-135622.csv new file mode 100644 index 00000000..49ce5873 --- /dev/null +++ b/examples_portfolios/m6/partial/m6_20220202-135622.csv @@ -0,0 +1,11 @@ +,0,1,2,3,4,Decision +ABBV,0.1612,0.217,0.2334,0.235,0.1534,0.12485 +ACN,0.1992,0.206,0.196,0.1926,0.2062,0.09369 +AEP,0.1088,0.2512,0.2714,0.2496,0.119,0.17657 +AIZ,0.1532,0.2262,0.233,0.2296,0.158,0.13141 +ALLE,0.2036,0.2022,0.1988,0.1932,0.2022,0.09046 +AMAT,0.3302,0.114,0.1074,0.1212,0.3272,0.02695 +AMP,0.231,0.185,0.1666,0.1852,0.2322,0.07254 +AMZN,0.246,0.1774,0.1678,0.167,0.2418,0.06523 +AVB,0.161,0.2188,0.232,0.2272,0.161,0.1289 +AVY,0.2058,0.2022,0.1936,0.1994,0.199,0.08942 diff --git a/examples_portfolios/m6/partial/m6_20220202-135724.csv b/examples_portfolios/m6/partial/m6_20220202-135724.csv new file mode 100644 index 00000000..4b2d960b --- /dev/null +++ b/examples_portfolios/m6/partial/m6_20220202-135724.csv @@ -0,0 +1,11 @@ +,0,1,2,3,4,Decision +ABBV,0.1366,0.2448,0.2454,0.2344,0.1388,0.2408 +ACN,0.2344,0.1906,0.1568,0.1722,0.246,0.00094 +AEP,0.0976,0.2438,0.2906,0.2616,0.1064,0.33922 +AIZ,0.1418,0.2318,0.2586,0.2312,0.1366,0.11332 +ALLE,0.1996,0.1956,0.1998,0.2106,0.1944,0.0348 +AMAT,0.3524,0.109,0.1006,0.1118,0.3262,-0.01828 +AMP,0.2198,0.1922,0.1792,0.1856,0.2232,0.0247 +AMZN,0.2498,0.173,0.1572,0.1652,0.2548,0.09176 +AVB,0.1518,0.2272,0.2262,0.235,0.1598,0.1112 +AVY,0.2162,0.192,0.1856,0.1924,0.2138,0.02499 diff --git a/examples_portfolios/m6/partial/m6_20220209-125414.csv b/examples_portfolios/m6/partial/m6_20220209-125414.csv new file mode 100644 index 00000000..8d763808 --- /dev/null +++ b/examples_portfolios/m6/partial/m6_20220209-125414.csv @@ -0,0 +1,6 @@ +ID,Rank1,Rank2,Rank3,Rank4,Rank5,Decision +ABBV,0.1646,0.2218,0.2208,0.2228,0.17,0.12879 +ACN,0.2618,0.1644,0.1562,0.161,0.2566,0.28813 +AEP,0.1294,0.2364,0.2614,0.2392,0.1336,0.10533 +AIZ,0.2108,0.1936,0.1886,0.2004,0.2066,0.21413 +ALLE,0.2334,0.1838,0.173,0.1766,0.2332,0.26362 diff --git a/examples_portfolios/m6/partial/m6_20220209-181353.csv b/examples_portfolios/m6/partial/m6_20220209-181353.csv new file mode 100644 index 00000000..13405a11 --- /dev/null +++ b/examples_portfolios/m6/partial/m6_20220209-181353.csv @@ -0,0 +1,6 @@ +ID,Rank1,Rank2,Rank3,Rank4,Rank5,Decision +ABBV,0.1574,0.2298,0.23,0.2256,0.1572,0.1298 +ACN,0.2602,0.1594,0.1444,0.1638,0.2722,0.28944 +AEP,0.1374,0.2346,0.2616,0.23,0.1364,0.10562 +AIZ,0.2088,0.1982,0.1916,0.1936,0.2078,0.20845 +ALLE,0.2362,0.178,0.1724,0.187,0.2264,0.26669 diff --git a/examples_portfolios/m6/partial/m6_20220210-154201.csv b/examples_portfolios/m6/partial/m6_20220210-154201.csv new file mode 100644 index 00000000..420d6500 --- /dev/null +++ b/examples_portfolios/m6/partial/m6_20220210-154201.csv @@ -0,0 +1,6 @@ +ID,Rank1,Rank2,Rank3,Rank4,Rank5,Decision +ABBV,0.15,0.2252,0.239,0.2318,0.154,0.12223 +ACN,0.263,0.1608,0.1524,0.1678,0.256,0.29344 +AEP,0.1392,0.2354,0.2538,0.2314,0.1402,0.10859 +AIZ,0.2104,0.1958,0.187,0.1962,0.2106,0.20688 +ALLE,0.2374,0.1828,0.1678,0.1728,0.2392,0.26886 diff --git a/examples_portfolios/m6/partial/m6_20220211-095537.csv b/examples_portfolios/m6/partial/m6_20220211-095537.csv new file mode 100644 index 00000000..1048b5d7 --- /dev/null +++ b/examples_portfolios/m6/partial/m6_20220211-095537.csv @@ -0,0 +1,6 @@ +ID,Rank1,Rank2,Rank3,Rank4,Rank5,Decision +ABBV,0.15,0.2262,0.2474,0.221,0.1554,0.1224 +ACN,0.2704,0.1472,0.1504,0.1652,0.2668,0.29161 +AEP,0.1362,0.2476,0.2462,0.234,0.136,0.11029 +AIZ,0.2092,0.196,0.1874,0.2022,0.2052,0.20649 +ALLE,0.2342,0.183,0.1686,0.1776,0.2366,0.26922 diff --git a/examples_portfolios/m6/partial/m6_20220211-102059.csv b/examples_portfolios/m6/partial/m6_20220211-102059.csv new file mode 100644 index 00000000..317c9f3e --- /dev/null +++ b/examples_portfolios/m6/partial/m6_20220211-102059.csv @@ -0,0 +1,6 @@ +ID,Rank1,Rank2,Rank3,Rank4,Rank5,Decision +ABBV,0.1618,0.2248,0.2332,0.2308,0.1494,0.12233 +ACN,0.2654,0.1596,0.1526,0.1636,0.2588,0.29156 +AEP,0.1354,0.2386,0.2516,0.2312,0.1432,0.11039 +AIZ,0.1988,0.2,0.1946,0.1948,0.2118,0.20671 +ALLE,0.2386,0.177,0.168,0.1796,0.2368,0.269 diff --git a/examples_portfolios/m6/partial/m6_20220211-103140.csv b/examples_portfolios/m6/partial/m6_20220211-103140.csv new file mode 100644 index 00000000..81170d69 --- /dev/null +++ b/examples_portfolios/m6/partial/m6_20220211-103140.csv @@ -0,0 +1,6 @@ +ID,Rank1,Rank2,Rank3,Rank4,Rank5,Decision +ABBV,0.1604,0.2308,0.224,0.2256,0.1592,0.12221 +ACN,0.2682,0.1568,0.1558,0.1632,0.256,0.29147 +AEP,0.1288,0.2404,0.2584,0.2372,0.1352,0.11053 +AIZ,0.2092,0.197,0.1852,0.197,0.2116,0.20688 +ALLE,0.2334,0.175,0.1766,0.177,0.238,0.26892 diff --git a/examples_portfolios/m6/partial/m6_20220211-103528.csv b/examples_portfolios/m6/partial/m6_20220211-103528.csv new file mode 100644 index 00000000..1058eff0 --- /dev/null +++ b/examples_portfolios/m6/partial/m6_20220211-103528.csv @@ -0,0 +1,6 @@ +ID,Rank1,Rank2,Rank3,Rank4,Rank5,Decision +ABBV,0.1542,0.2262,0.2438,0.2224,0.1534,0.12235 +ACN,0.267,0.1612,0.142,0.157,0.2728,0.292 +AEP,0.138,0.231,0.2578,0.239,0.1342,0.11001 +AIZ,0.2058,0.1982,0.1906,0.2066,0.1988,0.20652 +ALLE,0.235,0.1834,0.1658,0.175,0.2408,0.26912 diff --git a/examples_portfolios/m6/partial/m6_20220211-104153.csv b/examples_portfolios/m6/partial/m6_20220211-104153.csv new file mode 100644 index 00000000..455518c8 --- /dev/null +++ b/examples_portfolios/m6/partial/m6_20220211-104153.csv @@ -0,0 +1,6 @@ +ID,Rank1,Rank2,Rank3,Rank4,Rank5,Decision +ABBV,0.1602,0.2218,0.2406,0.2318,0.1456,0.12229 +ACN,0.266,0.1588,0.1452,0.1628,0.2672,0.29168 +AEP,0.1352,0.2432,0.2486,0.2366,0.1364,0.11017 +AIZ,0.2078,0.2034,0.1956,0.1848,0.2084,0.20667 +ALLE,0.2308,0.1728,0.17,0.184,0.2424,0.26919 diff --git a/examples_portfolios/m6/partial/m6_20220211-104449.csv b/examples_portfolios/m6/partial/m6_20220211-104449.csv new file mode 100644 index 00000000..4b2aa6a8 --- /dev/null +++ b/examples_portfolios/m6/partial/m6_20220211-104449.csv @@ -0,0 +1,6 @@ +ID,Rank1,Rank2,Rank3,Rank4,Rank5,Decision +ABBV,0.1526,0.229,0.2412,0.2298,0.1474,0.12233 +ACN,0.2736,0.16,0.1366,0.1574,0.2724,0.29191 +AEP,0.1378,0.2314,0.2628,0.226,0.142,0.10998 +AIZ,0.1946,0.2036,0.1986,0.1992,0.204,0.20658 +ALLE,0.2414,0.176,0.1608,0.1876,0.2342,0.26919 diff --git a/examples_portfolios/m6/partial/m6_20220211-104731.csv b/examples_portfolios/m6/partial/m6_20220211-104731.csv new file mode 100644 index 00000000..07bac3b7 --- /dev/null +++ b/examples_portfolios/m6/partial/m6_20220211-104731.csv @@ -0,0 +1,6 @@ +ID,Rank1,Rank2,Rank3,Rank4,Rank5,Decision +ABBV,0.1586,0.224,0.2356,0.224,0.1578,0.1223 +ACN,0.2732,0.1522,0.1462,0.1638,0.2646,0.29187 +AEP,0.1312,0.2414,0.254,0.2284,0.145,0.11006 +AIZ,0.1984,0.2038,0.1942,0.207,0.1966,0.20658 +ALLE,0.2386,0.1786,0.17,0.1768,0.236,0.26918 diff --git a/examples_portfolios/m6/partial/m6_20220211-105032.csv b/examples_portfolios/m6/partial/m6_20220211-105032.csv new file mode 100644 index 00000000..96dd51b0 --- /dev/null +++ b/examples_portfolios/m6/partial/m6_20220211-105032.csv @@ -0,0 +1,6 @@ +ID,Rank1,Rank2,Rank3,Rank4,Rank5,Decision +ABBV,0.1626,0.2216,0.2386,0.2226,0.1546,0.12231 +ACN,0.2574,0.1586,0.1522,0.1672,0.2646,0.29196 +AEP,0.1372,0.2412,0.248,0.232,0.1416,0.11009 +AIZ,0.2062,0.1982,0.191,0.2012,0.2034,0.20653 +ALLE,0.2366,0.1804,0.1702,0.177,0.2358,0.26912 diff --git a/examples_portfolios/m6/partial/m6_20220211-105158.csv b/examples_portfolios/m6/partial/m6_20220211-105158.csv new file mode 100644 index 00000000..92696b33 --- /dev/null +++ b/examples_portfolios/m6/partial/m6_20220211-105158.csv @@ -0,0 +1,6 @@ +ID,Rank1,Rank2,Rank3,Rank4,Rank5,Decision +ABBV,0.1556,0.2264,0.2226,0.2364,0.159,0.12236 +ACN,0.2542,0.172,0.1598,0.1614,0.2526,0.29203 +AEP,0.1402,0.2362,0.2518,0.2288,0.143,0.10995 +AIZ,0.2046,0.1962,0.195,0.1994,0.2048,0.20651 +ALLE,0.2454,0.1692,0.1708,0.174,0.2406,0.26915 diff --git a/examples_portfolios/m6/partial/m6_20220211-110746.csv b/examples_portfolios/m6/partial/m6_20220211-110746.csv new file mode 100644 index 00000000..b608e873 --- /dev/null +++ b/examples_portfolios/m6/partial/m6_20220211-110746.csv @@ -0,0 +1,6 @@ +ID,Rank1,Rank2,Rank3,Rank4,Rank5,Decision +ABBV,0.1548,0.2214,0.2408,0.23,0.153,0.12234 +ACN,0.2626,0.1668,0.1444,0.1626,0.2636,0.29158 +AEP,0.1422,0.2416,0.26,0.2232,0.133,0.11014 +AIZ,0.2012,0.1902,0.1954,0.2064,0.2068,0.20682 +ALLE,0.2392,0.18,0.1594,0.1778,0.2436,0.26912 diff --git a/examples_portfolios/m6/partial/m6_20220211-112135.csv b/examples_portfolios/m6/partial/m6_20220211-112135.csv new file mode 100644 index 00000000..00acd241 --- /dev/null +++ b/examples_portfolios/m6/partial/m6_20220211-112135.csv @@ -0,0 +1,6 @@ +ID,Rank1,Rank2,Rank3,Rank4,Rank5,Decision +ABBV,0.1604,0.2222,0.2408,0.222,0.1546,0.12245 +ACN,0.266,0.1722,0.1382,0.1548,0.2688,0.29238 +AEP,0.141,0.2234,0.2538,0.2406,0.1412,0.10969 +AIZ,0.198,0.205,0.1926,0.197,0.2074,0.20644 +ALLE,0.2346,0.1772,0.1746,0.1856,0.228,0.26905 diff --git a/examples_portfolios/m6/partial/m6_20220211-144757.csv b/examples_portfolios/m6/partial/m6_20220211-144757.csv new file mode 100644 index 00000000..c682bcd4 --- /dev/null +++ b/examples_portfolios/m6/partial/m6_20220211-144757.csv @@ -0,0 +1,6 @@ +ID,Rank1,Rank2,Rank3,Rank4,Rank5,Decision +ABBV,0.1554,0.2186,0.2422,0.2306,0.1532,0.1219 +ACN,0.2692,0.1642,0.1408,0.1566,0.2692,0.29858 +AEP,0.1382,0.239,0.2508,0.2312,0.1408,0.10623 +AIZ,0.1996,0.2014,0.1946,0.201,0.2034,0.20377 +ALLE,0.2376,0.1768,0.1716,0.1806,0.2334,0.26952 diff --git a/examples_portfolios/m6/partial/m6_20220211-145443.csv b/examples_portfolios/m6/partial/m6_20220211-145443.csv new file mode 100644 index 00000000..b5ab81c0 --- /dev/null +++ b/examples_portfolios/m6/partial/m6_20220211-145443.csv @@ -0,0 +1,6 @@ +ID,Rank1,Rank2,Rank3,Rank4,Rank5,Decision +ABBV,0.1476,0.2344,0.2472,0.2088,0.162,0.12203 +ACN,0.2652,0.1602,0.1364,0.164,0.2742,0.29915 +AEP,0.1408,0.2302,0.2516,0.2374,0.14,0.10611 +AIZ,0.2032,0.1954,0.1956,0.2092,0.1966,0.20364 +ALLE,0.2432,0.1798,0.1692,0.1806,0.2272,0.26907 diff --git a/examples_portfolios/m6/partial/m6_20220211-152046.csv b/examples_portfolios/m6/partial/m6_20220211-152046.csv new file mode 100644 index 00000000..832b3949 --- /dev/null +++ b/examples_portfolios/m6/partial/m6_20220211-152046.csv @@ -0,0 +1,6 @@ +ID,Rank1,Rank2,Rank3,Rank4,Rank5,Decision +ABBV,0.1506,0.2316,0.235,0.235,0.1478,0.12192 +ACN,0.2674,0.1594,0.1494,0.1556,0.2682,0.29902 +AEP,0.1422,0.2386,0.2548,0.2364,0.128,0.10609 +AIZ,0.2026,0.199,0.189,0.2022,0.2072,0.20431 +ALLE,0.2372,0.1714,0.1718,0.1708,0.2488,0.26867 diff --git a/examples_portfolios/m6/partial/m6_20220211-152631.csv b/examples_portfolios/m6/partial/m6_20220211-152631.csv new file mode 100644 index 00000000..08609027 --- /dev/null +++ b/examples_portfolios/m6/partial/m6_20220211-152631.csv @@ -0,0 +1,6 @@ +ID,Rank1,Rank2,Rank3,Rank4,Rank5,Decision +ABBV,0.151,0.229,0.2418,0.229,0.1492,0.12213 +ACN,0.2678,0.1514,0.1502,0.1614,0.2692,0.29858 +AEP,0.1466,0.2428,0.2458,0.232,0.1328,0.10668 +AIZ,0.2016,0.1994,0.1948,0.1994,0.2048,0.20421 +ALLE,0.233,0.1774,0.1674,0.1782,0.244,0.2684 diff --git a/examples_portfolios/m6/partial/m6_20220211-164019.csv b/examples_portfolios/m6/partial/m6_20220211-164019.csv new file mode 100644 index 00000000..ed75d196 --- /dev/null +++ b/examples_portfolios/m6/partial/m6_20220211-164019.csv @@ -0,0 +1,6 @@ +ID,Rank1,Rank2,Rank3,Rank4,Rank5,Decision +ABBV,0.158,0.2214,0.235,0.2312,0.1544,0.12237 +ACN,0.2662,0.1626,0.1506,0.1612,0.2594,0.29839 +AEP,0.1402,0.2366,0.2562,0.2254,0.1416,0.10705 +AIZ,0.198,0.1998,0.1912,0.1992,0.2118,0.20393 +ALLE,0.2376,0.1796,0.167,0.183,0.2328,0.26825 diff --git a/examples_portfolios/m6/partial/m6_20220212-133147.csv b/examples_portfolios/m6/partial/m6_20220212-133147.csv new file mode 100644 index 00000000..25562a96 --- /dev/null +++ b/examples_portfolios/m6/partial/m6_20220212-133147.csv @@ -0,0 +1,6 @@ +ID,Rank1,Rank2,Rank3,Rank4,Rank5,Decision +ABBV,0.1508,0.235,0.2316,0.2202,0.1624,0.12237 +ACN,0.2684,0.15,0.1468,0.1622,0.2726,0.29839 +AEP,0.1448,0.2356,0.2578,0.2266,0.1352,0.10705 +AIZ,0.1992,0.2062,0.183,0.211,0.2006,0.20393 +ALLE,0.2368,0.1732,0.1808,0.18,0.2292,0.26825 diff --git a/examples_portfolios/m6/partial/m6_20220214-080051.csv b/examples_portfolios/m6/partial/m6_20220214-080051.csv new file mode 100644 index 00000000..85198530 --- /dev/null +++ b/examples_portfolios/m6/partial/m6_20220214-080051.csv @@ -0,0 +1,6 @@ +ID,Rank1,Rank2,Rank3,Rank4,Rank5,Decision +ABBV,0.151,0.2262,0.2388,0.2302,0.1538,0.12237 +ACN,0.2686,0.1596,0.1418,0.1596,0.2704,0.29839 +AEP,0.1328,0.234,0.2524,0.2404,0.1404,0.10705 +AIZ,0.2028,0.1998,0.205,0.193,0.1994,0.20393 +ALLE,0.2448,0.1804,0.162,0.1768,0.236,0.26825 diff --git a/examples_portfolios/m6/partial/m6_20220214-093010.csv b/examples_portfolios/m6/partial/m6_20220214-093010.csv new file mode 100644 index 00000000..e1fbeab1 --- /dev/null +++ b/examples_portfolios/m6/partial/m6_20220214-093010.csv @@ -0,0 +1,6 @@ +ID,Rank1,Rank2,Rank3,Rank4,Rank5,Decision +ABBV,0.1966,0.2022,0.2046,0.1946,0.202,0.2 +ACN,0.2062,0.1912,0.2064,0.1982,0.198,0.2 +AEP,0.1968,0.2028,0.1916,0.2064,0.2024,0.2 +AIZ,0.1986,0.195,0.202,0.1972,0.2072,0.2 +ALLE,0.2018,0.2088,0.1954,0.2036,0.1904,0.2 diff --git a/examples_portfolios/m6/partial/m6_20220214-093330.csv b/examples_portfolios/m6/partial/m6_20220214-093330.csv new file mode 100644 index 00000000..78fb11fd --- /dev/null +++ b/examples_portfolios/m6/partial/m6_20220214-093330.csv @@ -0,0 +1,6 @@ +ID,Rank1,Rank2,Rank3,Rank4,Rank5,Decision 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+ID,Rank1,Rank2,Rank3,Rank4,Rank5,Decision +ABBV,0.1526,0.229,0.2334,0.2354,0.1496,0.12328 +ACN,0.2588,0.1586,0.157,0.1576,0.268,0.29816 +AEP,0.1404,0.2404,0.2452,0.2314,0.1426,0.10742 +AIZ,0.2084,0.1944,0.2012,0.1922,0.2038,0.20341 +ALLE,0.2398,0.1776,0.1632,0.1834,0.236,0.26773 diff --git a/examples_portfolios/m6/partial/m6_20220214-094331.csv b/examples_portfolios/m6/partial/m6_20220214-094331.csv new file mode 100644 index 00000000..a8ed102f --- /dev/null +++ b/examples_portfolios/m6/partial/m6_20220214-094331.csv @@ -0,0 +1,6 @@ +ID,Rank1,Rank2,Rank3,Rank4,Rank5,Decision +ABBV,0.1538,0.2272,0.2356,0.226,0.1574,0.12346 +ACN,0.2766,0.1604,0.1484,0.1552,0.2594,0.29833 +AEP,0.132,0.237,0.2524,0.2386,0.14,0.10754 +AIZ,0.1992,0.1952,0.1966,0.2008,0.2082,0.20315 +ALLE,0.2384,0.1802,0.167,0.1794,0.235,0.26752 diff --git a/examples_portfolios/m6/partial/m6_20220214-094723.csv b/examples_portfolios/m6/partial/m6_20220214-094723.csv new file mode 100644 index 00000000..a59946e3 --- /dev/null +++ b/examples_portfolios/m6/partial/m6_20220214-094723.csv @@ -0,0 +1,6 @@ +ID,Rank1,Rank2,Rank3,Rank4,Rank5,Decision +ABBV,0.1626,0.2294,0.2318,0.2246,0.1516,0.1242 +ACN,0.262,0.1576,0.1452,0.165,0.2702,0.29856 +AEP,0.1358,0.2302,0.2578,0.2446,0.1316,0.10797 +AIZ,0.1996,0.2072,0.197,0.1956,0.2006,0.20255 +ALLE,0.24,0.1756,0.1682,0.1702,0.246,0.26672 diff --git a/examples_portfolios/m6/partial/m6_20220214-124620.csv b/examples_portfolios/m6/partial/m6_20220214-124620.csv new file mode 100644 index 00000000..a9f22083 --- /dev/null +++ b/examples_portfolios/m6/partial/m6_20220214-124620.csv @@ -0,0 +1,6 @@ +ID,Rank1,Rank2,Rank3,Rank4,Rank5,Decision +ABBV,0.159,0.2204,0.2374,0.2304,0.1528,0.12402 +ACN,0.2642,0.1688,0.1444,0.152,0.2706,0.29713 +AEP,0.137,0.2344,0.251,0.2318,0.1458,0.10979 +AIZ,0.1982,0.2034,0.1924,0.208,0.198,0.20214 +ALLE,0.2416,0.173,0.1748,0.1778,0.2328,0.26692 diff --git a/examples_portfolios/m6/partial/m6_20220214-125605.csv b/examples_portfolios/m6/partial/m6_20220214-125605.csv new file mode 100644 index 00000000..9203b035 --- /dev/null +++ b/examples_portfolios/m6/partial/m6_20220214-125605.csv @@ -0,0 +1,6 @@ +ID,Rank1,Rank2,Rank3,Rank4,Rank5,Decision +ABBV,0.1508,0.2244,0.2348,0.2334,0.1566,0.12365 +ACN,0.2654,0.1622,0.1432,0.1594,0.2698,0.2974 +AEP,0.1442,0.2366,0.2462,0.237,0.136,0.1095 +AIZ,0.1974,0.2012,0.2054,0.1942,0.2018,0.2024 +ALLE,0.2422,0.1756,0.1704,0.176,0.2358,0.26704 diff --git a/examples_portfolios/m6/partial/m6_20220214-235810.csv b/examples_portfolios/m6/partial/m6_20220214-235810.csv new file mode 100644 index 00000000..20ea8b6a --- /dev/null +++ b/examples_portfolios/m6/partial/m6_20220214-235810.csv @@ -0,0 +1,6 @@ +ID,Rank1,Rank2,Rank3,Rank4,Rank5,Decision +ABBV,0.1576,0.2166,0.246,0.2326,0.1472,0.12227 +ACN,0.2754,0.1598,0.1404,0.1544,0.27,0.29813 +AEP,0.1332,0.2396,0.2494,0.2304,0.1474,0.10906 +AIZ,0.2004,0.2018,0.1902,0.2038,0.2038,0.20306 +ALLE,0.2334,0.1822,0.174,0.1788,0.2316,0.26749 diff --git a/examples_portfolios/m6/partial/m6_20220216-223059.csv b/examples_portfolios/m6/partial/m6_20220216-223059.csv new file mode 100644 index 00000000..056a9fa3 --- /dev/null +++ b/examples_portfolios/m6/partial/m6_20220216-223059.csv @@ -0,0 +1,6 @@ +ID,Rank1,Rank2,Rank3,Rank4,Rank5,Decision +ABBV,0.1546,0.2342,0.229,0.2284,0.1538,0.1228 +ACN,0.2718,0.149,0.1518,0.1576,0.2698,0.29597 +AEP,0.139,0.236,0.251,0.2354,0.1386,0.10962 +AIZ,0.1992,0.2016,0.1978,0.2004,0.201,0.20804 +ALLE,0.2354,0.1792,0.1704,0.1782,0.2368,0.26358 diff --git a/examples_portfolios/m6/partial/m6_20220216-230006.csv b/examples_portfolios/m6/partial/m6_20220216-230006.csv new file mode 100644 index 00000000..14b54935 --- /dev/null +++ b/examples_portfolios/m6/partial/m6_20220216-230006.csv @@ -0,0 +1,6 @@ +ID,Rank1,Rank2,Rank3,Rank4,Rank5,Decision +ABBV,0.1474,0.2272,0.2438,0.2246,0.157,0.1228 +ACN,0.2656,0.1586,0.148,0.1656,0.2622,0.29597 +AEP,0.1432,0.2322,0.253,0.2304,0.1412,0.10962 +AIZ,0.1988,0.2138,0.1896,0.1968,0.201,0.20804 +ALLE,0.245,0.1682,0.1656,0.1826,0.2386,0.26358 diff --git a/examples_portfolios/m6/partial/m6_20220216-230550.csv b/examples_portfolios/m6/partial/m6_20220216-230550.csv new file mode 100644 index 00000000..817f7e37 --- /dev/null +++ b/examples_portfolios/m6/partial/m6_20220216-230550.csv @@ -0,0 +1,6 @@ +ID,Rank1,Rank2,Rank3,Rank4,Rank5,Decision +ABBV,0.154,0.2318,0.2372,0.214,0.163,0.1228 +ACN,0.2656,0.1594,0.1546,0.1632,0.2572,0.29597 +AEP,0.1352,0.2314,0.2504,0.2406,0.1424,0.10962 +AIZ,0.1994,0.2022,0.2,0.1908,0.2076,0.20804 +ALLE,0.2458,0.1752,0.1578,0.1914,0.2298,0.26358 diff --git a/examples_portfolios/m6/partial/m6_20220217-150927.csv b/examples_portfolios/m6/partial/m6_20220217-150927.csv new file mode 100644 index 00000000..4a62f71b --- /dev/null +++ b/examples_portfolios/m6/partial/m6_20220217-150927.csv @@ -0,0 +1,6 @@ +ID,Rank1,Rank2,Rank3,Rank4,Rank5,Decision 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b/examples_portfolios/m6/partial/m6_20220217-152048.csv @@ -0,0 +1,6 @@ +ID,Rank1,Rank2,Rank3,Rank4,Rank5,Decision +ABBV,0.151,0.2306,0.2348,0.2326,0.151,0.1244 +ACN,0.2642,0.1552,0.1522,0.1652,0.2632,0.29839 +AEP,0.1386,0.2328,0.2498,0.2296,0.1492,0.10797 +AIZ,0.2094,0.204,0.1876,0.1938,0.2052,0.20796 +ALLE,0.2368,0.1774,0.1756,0.1788,0.2314,0.26128 diff --git a/examples_portfolios/m6/partial/m6_20220217-152714.csv b/examples_portfolios/m6/partial/m6_20220217-152714.csv new file mode 100644 index 00000000..dbc11874 --- /dev/null +++ b/examples_portfolios/m6/partial/m6_20220217-152714.csv @@ -0,0 +1,6 @@ +ID,Rank1,Rank2,Rank3,Rank4,Rank5,Decision +ABBV,0.1624,0.2176,0.236,0.2252,0.1588,0.1245 +ACN,0.2598,0.1586,0.146,0.1614,0.2742,0.29848 +AEP,0.1494,0.2394,0.2442,0.2296,0.1374,0.10797 +AIZ,0.1992,0.2024,0.1906,0.2038,0.204,0.20764 +ALLE,0.2292,0.182,0.1832,0.18,0.2256,0.2614 diff --git a/examples_portfolios/m6/partial/m6_20220217-153237.csv b/examples_portfolios/m6/partial/m6_20220217-153237.csv new file mode 100644 index 00000000..aa7e859e --- /dev/null +++ b/examples_portfolios/m6/partial/m6_20220217-153237.csv @@ -0,0 +1,6 @@ +ID,Rank1,Rank2,Rank3,Rank4,Rank5,Decision +ABBV,0.1556,0.2262,0.2464,0.2166,0.1552,0.12431 +ACN,0.256,0.161,0.1462,0.1672,0.2696,0.29852 +AEP,0.143,0.2372,0.2496,0.24,0.1302,0.10801 +AIZ,0.2072,0.1928,0.1966,0.1992,0.2042,0.20765 +ALLE,0.2382,0.1828,0.1612,0.177,0.2408,0.26151 diff --git a/examples_portfolios/m6/partial/m6_20220217-153411.csv b/examples_portfolios/m6/partial/m6_20220217-153411.csv new file mode 100644 index 00000000..7f959bd9 --- /dev/null +++ b/examples_portfolios/m6/partial/m6_20220217-153411.csv @@ -0,0 +1,6 @@ +ID,Rank1,Rank2,Rank3,Rank4,Rank5,Decision +ABBV,0.1568,0.2346,0.2382,0.2226,0.1478,0.12441 +ACN,0.2612,0.162,0.1448,0.1586,0.2734,0.2989 +AEP,0.144,0.2364,0.2538,0.2326,0.1332,0.10786 +AIZ,0.2108,0.1896,0.1878,0.2012,0.2106,0.20747 +ALLE,0.2272,0.1774,0.1754,0.185,0.235,0.26137 diff --git a/examples_portfolios/m6/partial/m6_20220217-154939.csv b/examples_portfolios/m6/partial/m6_20220217-154939.csv new file mode 100644 index 00000000..1035ccd3 --- /dev/null +++ b/examples_portfolios/m6/partial/m6_20220217-154939.csv @@ -0,0 +1,6 @@ +ID,Rank1,Rank2,Rank3,Rank4,Rank5,Decision +ABBV,0.1504,0.2264,0.2382,0.2336,0.1514,0.12424 +ACN,0.268,0.1718,0.1418,0.1508,0.2676,0.29912 +AEP,0.1464,0.2258,0.2526,0.2322,0.143,0.10762 +AIZ,0.2064,0.2006,0.1892,0.2012,0.2026,0.20757 +ALLE,0.2288,0.1754,0.1782,0.1822,0.2354,0.26145 diff --git a/examples_portfolios/m6/partial/m6_20220217-160634.csv b/examples_portfolios/m6/partial/m6_20220217-160634.csv new file mode 100644 index 00000000..723cb655 --- /dev/null +++ b/examples_portfolios/m6/partial/m6_20220217-160634.csv @@ -0,0 +1,6 @@ +ID,Rank1,Rank2,Rank3,Rank4,Rank5,Decision +ABBV,0.1582,0.2314,0.2366,0.2232,0.1506,0.12375 +ACN,0.2682,0.1548,0.1544,0.1548,0.2678,0.29935 +AEP,0.1388,0.2322,0.2464,0.2432,0.1394,0.10762 +AIZ,0.2008,0.1966,0.196,0.2012,0.2054,0.20781 +ALLE,0.234,0.185,0.1666,0.1776,0.2368,0.26147 diff --git a/examples_portfolios/m6/partial/m6_20220301-115149.csv b/examples_portfolios/m6/partial/m6_20220301-115149.csv new file mode 100644 index 00000000..c6fe4c46 --- /dev/null +++ b/examples_portfolios/m6/partial/m6_20220301-115149.csv @@ -0,0 +1,6 @@ +ID,Rank1,Rank2,Rank3,Rank4,Rank5,Decision +ABBV,0.158,0.2202,0.245,0.2218,0.155,0.12271 +ACN,0.2678,0.1564,0.1522,0.1596,0.264,0.28501 +AEP,0.1406,0.2282,0.2512,0.2398,0.1402,0.12261 +AIZ,0.2008,0.2066,0.1906,0.1976,0.2044,0.20484 +ALLE,0.2328,0.1886,0.161,0.1812,0.2364,0.26483 diff --git a/examples_portfolios/m6/partial/m6_20220301-120718.csv b/examples_portfolios/m6/partial/m6_20220301-120718.csv new file mode 100644 index 00000000..1196b7b1 --- /dev/null +++ b/examples_portfolios/m6/partial/m6_20220301-120718.csv @@ -0,0 +1,6 @@ +ID,Rank1,Rank2,Rank3,Rank4,Rank5,Decision 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b/examples_portfolios/m6/partial/m6_20220301-131020.csv @@ -0,0 +1,6 @@ +ID,Rank1,Rank2,Rank3,Rank4,Rank5,Decision +ABBV,0.1606,0.2198,0.2316,0.2366,0.1514,0.12232 +ACN,0.2554,0.1592,0.1564,0.1686,0.2604,0.28634 +AEP,0.1456,0.238,0.2424,0.2304,0.1436,0.1237 +AIZ,0.2082,0.1952,0.1978,0.1922,0.2066,0.20367 +ALLE,0.2302,0.1878,0.1718,0.1722,0.238,0.26397 diff --git a/examples_portfolios/m6/partial/m6_20220301-132720.csv b/examples_portfolios/m6/partial/m6_20220301-132720.csv new file mode 100644 index 00000000..37282d70 --- /dev/null +++ b/examples_portfolios/m6/partial/m6_20220301-132720.csv @@ -0,0 +1,6 @@ +ID,Rank1,Rank2,Rank3,Rank4,Rank5,Decision +ABBV,0.15,0.2332,0.2388,0.223,0.155,0.12261 +ACN,0.2624,0.1576,0.149,0.1674,0.2636,0.28636 +AEP,0.143,0.226,0.2546,0.2332,0.1432,0.12321 +AIZ,0.2126,0.195,0.1932,0.1948,0.2044,0.20491 +ALLE,0.232,0.1882,0.1644,0.1816,0.2338,0.2629 diff --git a/examples_portfolios/m6/partial/m6_20220302-231015.csv b/examples_portfolios/m6/partial/m6_20220302-231015.csv new file mode 100644 index 00000000..914879e2 --- /dev/null +++ b/examples_portfolios/m6/partial/m6_20220302-231015.csv @@ -0,0 +1,6 @@ +ID,Rank1,Rank2,Rank3,Rank4,Rank5,Decision +ABBV,0.1486,0.2192,0.2458,0.2336,0.1528,0.11965 +ACN,0.2646,0.1534,0.153,0.1588,0.2702,0.28786 +AEP,0.147,0.2342,0.2428,0.2292,0.1468,0.12428 +AIZ,0.2036,0.207,0.1912,0.1992,0.199,0.20494 +ALLE,0.2362,0.1862,0.1672,0.1792,0.2312,0.26327 diff --git a/examples_portfolios/m6/partial/m6_20220303-221249.csv b/examples_portfolios/m6/partial/m6_20220303-221249.csv new file mode 100644 index 00000000..580c8d84 --- /dev/null +++ b/examples_portfolios/m6/partial/m6_20220303-221249.csv @@ -0,0 +1,6 @@ +ID,Rank1,Rank2,Rank3,Rank4,Rank5,Decision +ABBV,0.1518,0.2238,0.2474,0.2264,0.1506,0.11924 +ACN,0.27,0.1562,0.1476,0.1642,0.262,0.28571 +AEP,0.1406,0.239,0.2516,0.2212,0.1476,0.12832 +AIZ,0.2,0.199,0.1904,0.2074,0.2032,0.20488 +ALLE,0.2376,0.182,0.163,0.1808,0.2366,0.26185 diff --git a/examples_portfolios/m6/partial/m6_20220303-222007.csv b/examples_portfolios/m6/partial/m6_20220303-222007.csv new file mode 100644 index 00000000..937972f3 --- /dev/null +++ b/examples_portfolios/m6/partial/m6_20220303-222007.csv @@ -0,0 +1,6 @@ +ID,Rank1,Rank2,Rank3,Rank4,Rank5,Decision +ABBV,0.1566,0.231,0.2362,0.2348,0.1414,0.11924 +ACN,0.2566,0.172,0.1548,0.1596,0.257,0.28571 +AEP,0.1532,0.2206,0.2482,0.2308,0.1472,0.12832 +AIZ,0.2034,0.2006,0.1916,0.2014,0.203,0.20488 +ALLE,0.2302,0.1758,0.1692,0.1734,0.2514,0.26185 diff --git a/examples_portfolios/m6/partial/m6_20220311-112225.csv b/examples_portfolios/m6/partial/m6_20220311-112225.csv new file mode 100644 index 00000000..79d2406d --- /dev/null +++ b/examples_portfolios/m6/partial/m6_20220311-112225.csv @@ -0,0 +1,6 @@ +ID,Rank1,Rank2,Rank3,Rank4,Rank5,Decision +ABBV,0.1476,0.2316,0.2568,0.2308,0.1332,0.12128 +ACN,0.2634,0.162,0.1452,0.1646,0.2648,0.28984 +AEP,0.1546,0.2222,0.2476,0.2302,0.1454,0.12359 +AIZ,0.2012,0.1978,0.1874,0.202,0.2116,0.20338 +ALLE,0.2332,0.1864,0.163,0.1724,0.245,0.26191 diff --git a/examples_portfolios/m6/partial/m6_20220512-080235.csv b/examples_portfolios/m6/partial/m6_20220512-080235.csv new file mode 100644 index 00000000..3986d744 --- /dev/null +++ b/examples_portfolios/m6/partial/m6_20220512-080235.csv @@ -0,0 +1,6 @@ +ID,Rank1,Rank2,Rank3,Rank4,Rank5,Decision +ABBV,0.1856,0.2088,0.2132,0.2066,0.1858,0.14652 +ACN,0.2596,0.164,0.148,0.1634,0.265,0.30298 +AEP,0.1442,0.236,0.2446,0.2396,0.1356,0.12423 +AIZ,0.1742,0.2148,0.2204,0.2084,0.1822,0.18517 +ALLE,0.2364,0.1764,0.1738,0.182,0.2314,0.2411 diff --git a/examples_portfolios/m6/partial/m6_20220512-104602.csv b/examples_portfolios/m6/partial/m6_20220512-104602.csv new file mode 100644 index 00000000..e9663841 --- /dev/null +++ b/examples_portfolios/m6/partial/m6_20220512-104602.csv @@ -0,0 +1,6 @@ +ID,Rank1,Rank2,Rank3,Rank4,Rank5,Decision 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b/examples_portfolios/m6/partial/m6_20220512-110551.csv @@ -0,0 +1,6 @@ +ID,Rank1,Rank2,Rank3,Rank4,Rank5,Decision +ABBV,0.1772,0.2172,0.2128,0.2078,0.185,0.14508 +ACN,0.2638,0.1662,0.1486,0.1604,0.261,0.3091 +AEP,0.1358,0.2364,0.25,0.2326,0.1452,0.12242 +AIZ,0.1868,0.2026,0.2224,0.2124,0.1758,0.18354 +ALLE,0.2364,0.1776,0.1662,0.1868,0.233,0.23987 diff --git a/examples_portfolios/m6/partial/m6_20220512-111116.csv b/examples_portfolios/m6/partial/m6_20220512-111116.csv new file mode 100644 index 00000000..d269e5e8 --- /dev/null +++ b/examples_portfolios/m6/partial/m6_20220512-111116.csv @@ -0,0 +1,6 @@ +ID,Rank1,Rank2,Rank3,Rank4,Rank5,Decision +ABBV,0.1754,0.2154,0.2118,0.2126,0.1848,0.14494 +ACN,0.263,0.1644,0.153,0.1612,0.2584,0.30917 +AEP,0.1434,0.2274,0.2502,0.2304,0.1486,0.122 +AIZ,0.182,0.211,0.2126,0.2136,0.1808,0.18351 +ALLE,0.2362,0.1818,0.1724,0.1822,0.2274,0.24038 diff --git a/examples_portfolios/m6/partial/m6_20220512-141805.csv b/examples_portfolios/m6/partial/m6_20220512-141805.csv new file mode 100644 index 00000000..15f64613 --- /dev/null +++ b/examples_portfolios/m6/partial/m6_20220512-141805.csv @@ -0,0 +1,6 @@ +ID,Rank1,Rank2,Rank3,Rank4,Rank5,Decision +ABBV,0.181,0.2092,0.212,0.217,0.1808,0.14342 +ACN,0.2578,0.1634,0.1566,0.1628,0.2594,0.3092 +AEP,0.1408,0.2326,0.2466,0.236,0.144,0.12354 +AIZ,0.1832,0.2076,0.22,0.2016,0.1876,0.18553 +ALLE,0.2372,0.1872,0.1648,0.1826,0.2282,0.2383 diff --git a/examples_portfolios/m6/partial/m6_20220523-173442.csv b/examples_portfolios/m6/partial/m6_20220523-173442.csv new file mode 100644 index 00000000..76285650 --- /dev/null +++ b/examples_portfolios/m6/partial/m6_20220523-173442.csv @@ -0,0 +1,6 @@ +ID,Rank1,Rank2,Rank3,Rank4,Rank5,Decision +ABBV,0.178,0.209,0.214,0.2168,0.1822,0.14402 +ACN,0.2608,0.1686,0.1576,0.149,0.264,0.30988 +AEP,0.1468,0.2202,0.2552,0.2378,0.14,0.1265 +AIZ,0.1868,0.2138,0.1994,0.2204,0.1796,0.17941 +ALLE,0.2276,0.1884,0.1738,0.176,0.2342,0.24019 diff --git a/examples_portfolios/m6/partial/m6_20220524-125253.csv b/examples_portfolios/m6/partial/m6_20220524-125253.csv new file mode 100644 index 00000000..c49ab159 --- /dev/null +++ b/examples_portfolios/m6/partial/m6_20220524-125253.csv @@ -0,0 +1,6 @@ +ID,Rank1,Rank2,Rank3,Rank4,Rank5,Decision +ABBV,0.18,0.211,0.217,0.2092,0.1828,0.14369 +ACN,0.264,0.161,0.1512,0.1642,0.2596,0.31136 +AEP,0.1388,0.2372,0.2468,0.2402,0.137,0.12502 +AIZ,0.1844,0.2078,0.208,0.2128,0.187,0.17836 +ALLE,0.2328,0.183,0.177,0.1736,0.2336,0.24157 diff --git a/examples_portfolios/m6/partial/m6_20220524-125527.csv b/examples_portfolios/m6/partial/m6_20220524-125527.csv new file mode 100644 index 00000000..1ae2f056 --- /dev/null +++ b/examples_portfolios/m6/partial/m6_20220524-125527.csv @@ -0,0 +1,6 @@ +ID,Rank1,Rank2,Rank3,Rank4,Rank5,Decision +ABBV,0.1868,0.2132,0.2072,0.2138,0.179,0.14368 +ACN,0.2622,0.1682,0.1528,0.1536,0.2632,0.31125 +AEP,0.1284,0.2278,0.2674,0.2352,0.1412,0.12509 +AIZ,0.195,0.2102,0.1966,0.214,0.1842,0.1784 +ALLE,0.2276,0.1806,0.176,0.1834,0.2324,0.24158 diff --git a/examples_portfolios/m6/partial/m6_20220524-135559.csv b/examples_portfolios/m6/partial/m6_20220524-135559.csv new file mode 100644 index 00000000..ea39a0ad --- /dev/null +++ b/examples_portfolios/m6/partial/m6_20220524-135559.csv @@ -0,0 +1,6 @@ +ID,Rank1,Rank2,Rank3,Rank4,Rank5,Decision +ABBV,0.1886,0.2122,0.2002,0.2166,0.1824,0.14393 +ACN,0.258,0.17,0.159,0.1582,0.2548,0.31041 +AEP,0.1402,0.2348,0.2538,0.2332,0.138,0.12585 +AIZ,0.1936,0.203,0.204,0.2006,0.1988,0.17907 +ALLE,0.2196,0.18,0.183,0.1914,0.226,0.24074 diff --git a/examples_portfolios/m6/partial/m6_20220526-110706.csv b/examples_portfolios/m6/partial/m6_20220526-110706.csv new file mode 100644 index 00000000..0e135766 --- /dev/null +++ b/examples_portfolios/m6/partial/m6_20220526-110706.csv @@ -0,0 +1,6 @@ +ID,Rank1,Rank2,Rank3,Rank4,Rank5,Decision +ABBV,0.1846,0.2148,0.2118,0.2126,0.1762,0.14554 +ACN,0.256,0.1614,0.148,0.1682,0.2664,0.31068 +AEP,0.139,0.234,0.2472,0.2376,0.1422,0.12706 +AIZ,0.19,0.204,0.2174,0.2,0.1886,0.17798 +ALLE,0.2304,0.1858,0.1756,0.1816,0.2266,0.23873 diff --git a/examples_portfolios/m6/partial/m6_20220526-140352.csv b/examples_portfolios/m6/partial/m6_20220526-140352.csv new file mode 100644 index 00000000..9a54b2af --- /dev/null +++ b/examples_portfolios/m6/partial/m6_20220526-140352.csv @@ -0,0 +1,6 @@ +ID,Rank1,Rank2,Rank3,Rank4,Rank5,Decision +ABBV,0.1814,0.2144,0.2182,0.212,0.174,0.14402 +ACN,0.2764,0.1542,0.1464,0.1628,0.2602,0.3129 +AEP,0.1338,0.24,0.2494,0.2386,0.1382,0.12605 +AIZ,0.1708,0.215,0.212,0.2038,0.1984,0.17696 +ALLE,0.2376,0.1764,0.174,0.1828,0.2292,0.24007 diff --git a/examples_portfolios/m6/partial/m6_20220526-141323.csv b/examples_portfolios/m6/partial/m6_20220526-141323.csv new file mode 100644 index 00000000..c588c39b --- /dev/null +++ b/examples_portfolios/m6/partial/m6_20220526-141323.csv @@ -0,0 +1,6 @@ +ID,Rank1,Rank2,Rank3,Rank4,Rank5,Decision +ABBV,0.1812,0.2036,0.2172,0.2172,0.1808,0.14404 +ACN,0.2602,0.1678,0.1532,0.1668,0.252,0.31265 +AEP,0.144,0.229,0.2488,0.2276,0.1506,0.12643 +AIZ,0.1828,0.2116,0.2104,0.2076,0.1876,0.17762 +ALLE,0.2318,0.188,0.1704,0.1808,0.229,0.23926 diff --git a/examples_portfolios/m6/partial/m6_20220526-153636.csv b/examples_portfolios/m6/partial/m6_20220526-153636.csv new file mode 100644 index 00000000..5c7ccf6b --- /dev/null +++ b/examples_portfolios/m6/partial/m6_20220526-153636.csv @@ -0,0 +1,6 @@ +ID,Rank1,Rank2,Rank3,Rank4,Rank5,Decision +ABBV,0.1838,0.2096,0.21,0.216,0.1806,0.14338 +ACN,0.2526,0.1656,0.1554,0.1564,0.27,0.31282 +AEP,0.1412,0.244,0.2506,0.228,0.1362,0.1265 +AIZ,0.189,0.2052,0.1988,0.2172,0.1898,0.17748 +ALLE,0.2334,0.1756,0.1852,0.1824,0.2234,0.23983 diff --git a/examples_portfolios/m6/partial/m6_20220604-090739.csv b/examples_portfolios/m6/partial/m6_20220604-090739.csv new file mode 100644 index 00000000..4de5d2d3 --- /dev/null +++ b/examples_portfolios/m6/partial/m6_20220604-090739.csv @@ -0,0 +1,6 @@ +ID,Rank1,Rank2,Rank3,Rank4,Rank5,Decision +ABBV,0.1762,0.2196,0.2112,0.2128,0.1802,0.14256 +ACN,0.2646,0.1584,0.1574,0.1494,0.2702,0.31151 +AEP,0.1358,0.2304,0.2534,0.2464,0.134,0.12759 +AIZ,0.192,0.2054,0.205,0.2142,0.1834,0.1779 +ALLE,0.2314,0.1862,0.173,0.1772,0.2322,0.24044 diff --git a/examples_portfolios/m6/partial/m6_20220606-092559.csv b/examples_portfolios/m6/partial/m6_20220606-092559.csv new file mode 100644 index 00000000..a9238673 --- /dev/null +++ b/examples_portfolios/m6/partial/m6_20220606-092559.csv @@ -0,0 +1,6 @@ +ID,Rank1,Rank2,Rank3,Rank4,Rank5,Decision +ABBV,0.181,0.216,0.2058,0.2086,0.1886,0.14256 +ACN,0.2548,0.1562,0.159,0.1678,0.2622,0.31151 +AEP,0.1444,0.228,0.2528,0.2356,0.1392,0.12759 +AIZ,0.1892,0.2072,0.2126,0.208,0.183,0.1779 +ALLE,0.2306,0.1926,0.1698,0.18,0.227,0.24044 diff --git a/examples_portfolios/m6/partial/m6_20220606-203228.csv b/examples_portfolios/m6/partial/m6_20220606-203228.csv new file mode 100644 index 00000000..e2a9d4b2 --- /dev/null +++ b/examples_portfolios/m6/partial/m6_20220606-203228.csv @@ -0,0 +1,6 @@ +ID,Rank1,Rank2,Rank3,Rank4,Rank5,Decision +ABBV,0.1812,0.2148,0.2162,0.207,0.1808,0.14226 +ACN,0.2582,0.1642,0.1464,0.1632,0.268,0.31145 +AEP,0.1408,0.225,0.258,0.232,0.1442,0.12852 +AIZ,0.1904,0.2146,0.2104,0.2098,0.1748,0.17844 +ALLE,0.2294,0.1814,0.169,0.188,0.2322,0.23933 diff --git a/examples_portfolios/m6/partial/m6_20220606-203356.csv b/examples_portfolios/m6/partial/m6_20220606-203356.csv new file mode 100644 index 00000000..3cd7c331 --- /dev/null +++ b/examples_portfolios/m6/partial/m6_20220606-203356.csv @@ -0,0 +1,6 @@ +ID,Rank1,Rank2,Rank3,Rank4,Rank5,Decision +ABBV,0.1844,0.2214,0.2082,0.213,0.173,0.14226 +ACN,0.2656,0.158,0.15,0.1632,0.2632,0.31145 +AEP,0.1354,0.2272,0.2618,0.2372,0.1384,0.12852 +AIZ,0.1784,0.2158,0.2092,0.2048,0.1918,0.17844 +ALLE,0.2362,0.1776,0.1708,0.1818,0.2336,0.23933 diff --git a/examples_portfolios/m6/partial/m6_20220606-204013.csv b/examples_portfolios/m6/partial/m6_20220606-204013.csv new file mode 100644 index 00000000..ceea5a96 --- /dev/null +++ b/examples_portfolios/m6/partial/m6_20220606-204013.csv @@ -0,0 +1,6 @@ +ID,Rank1,Rank2,Rank3,Rank4,Rank5,Decision +ABBV,0.1744,0.2024,0.2122,0.2168,0.1942,0.14226 +ACN,0.2624,0.1658,0.15,0.1612,0.2606,0.31145 +AEP,0.144,0.2374,0.2586,0.2194,0.1406,0.12852 +AIZ,0.1906,0.2098,0.2048,0.21,0.1848,0.17844 +ALLE,0.2286,0.1846,0.1744,0.1926,0.2198,0.23933 diff --git a/examples_portfolios/m6/partial/m6_20220606-210422.csv b/examples_portfolios/m6/partial/m6_20220606-210422.csv new file mode 100644 index 00000000..7d3a91c4 --- /dev/null +++ b/examples_portfolios/m6/partial/m6_20220606-210422.csv @@ -0,0 +1,6 @@ +ID,Rank1,Rank2,Rank3,Rank4,Rank5,Decision 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b/examples_portfolios/m6/partial/m6_20220610-093635.csv @@ -0,0 +1,6 @@ +ID,Rank1,Rank2,Rank3,Rank4,Rank5,Decision +ABBV,0.1808,0.2098,0.2166,0.212,0.1808,0.14465 +ACN,0.2588,0.166,0.156,0.1666,0.2526,0.29801 +AEP,0.1386,0.2344,0.2512,0.237,0.1388,0.13684 +AIZ,0.1828,0.2072,0.2076,0.2092,0.1932,0.1818 +ALLE,0.239,0.1826,0.1686,0.1752,0.2346,0.2387 diff --git a/examples_portfolios/m6/partial/m6_20220610-142707.csv b/examples_portfolios/m6/partial/m6_20220610-142707.csv new file mode 100644 index 00000000..3b3dc8d2 --- /dev/null +++ b/examples_portfolios/m6/partial/m6_20220610-142707.csv @@ -0,0 +1,6 @@ +ID,Rank1,Rank2,Rank3,Rank4,Rank5,Decision +ABBV,0.177,0.2112,0.2204,0.2084,0.183,0.14372 +ACN,0.2648,0.167,0.1546,0.1688,0.2448,0.29956 +AEP,0.1422,0.236,0.2436,0.2252,0.153,0.13564 +AIZ,0.187,0.196,0.2134,0.2204,0.1832,0.18199 +ALLE,0.229,0.1898,0.168,0.1772,0.236,0.2391 diff --git a/examples_portfolios/m6/partial/m6_20220610-145131.csv b/examples_portfolios/m6/partial/m6_20220610-145131.csv new file mode 100644 index 00000000..ece84ae0 --- /dev/null +++ b/examples_portfolios/m6/partial/m6_20220610-145131.csv @@ -0,0 +1,6 @@ +ID,Rank1,Rank2,Rank3,Rank4,Rank5,Decision +ABBV,0.1802,0.2136,0.2142,0.209,0.183,0.14359 +ACN,0.2568,0.1638,0.1554,0.165,0.259,0.29968 +AEP,0.1486,0.235,0.244,0.2286,0.1438,0.13564 +AIZ,0.1828,0.2024,0.2134,0.2106,0.1908,0.18197 +ALLE,0.2316,0.1852,0.173,0.1868,0.2234,0.23912 diff --git a/examples_portfolios/m6/partial/m6_20220610-162156.csv b/examples_portfolios/m6/partial/m6_20220610-162156.csv new file mode 100644 index 00000000..629d7cee --- /dev/null +++ b/examples_portfolios/m6/partial/m6_20220610-162156.csv @@ -0,0 +1,6 @@ +ID,Rank1,Rank2,Rank3,Rank4,Rank5,Decision +ABBV,0.1804,0.2094,0.2166,0.2142,0.1794,0.14402 +ACN,0.2512,0.1688,0.1564,0.164,0.2596,0.30011 +AEP,0.1416,0.2392,0.242,0.23,0.1472,0.13382 +AIZ,0.1914,0.2032,0.2086,0.2084,0.1884,0.18422 +ALLE,0.2354,0.1794,0.1764,0.1834,0.2254,0.23783 diff --git a/examples_portfolios/m6/partial/m6_20220610-165237.csv b/examples_portfolios/m6/partial/m6_20220610-165237.csv new file mode 100644 index 00000000..3e3bf5ac --- /dev/null +++ b/examples_portfolios/m6/partial/m6_20220610-165237.csv @@ -0,0 +1,6 @@ +ID,Rank1,Rank2,Rank3,Rank4,Rank5,Decision +ABBV,0.1786,0.2096,0.2102,0.2172,0.1844,0.14402 +ACN,0.2598,0.1654,0.1548,0.1624,0.2576,0.30011 +AEP,0.1434,0.2322,0.2538,0.2314,0.1392,0.13382 +AIZ,0.1894,0.2088,0.2076,0.2006,0.1936,0.18422 +ALLE,0.2288,0.184,0.1736,0.1884,0.2252,0.23783 diff --git a/examples_portfolios/m6/partial/m6_20220610-182414.csv b/examples_portfolios/m6/partial/m6_20220610-182414.csv new file mode 100644 index 00000000..06b330de --- /dev/null +++ b/examples_portfolios/m6/partial/m6_20220610-182414.csv @@ -0,0 +1,6 @@ +ID,Rank1,Rank2,Rank3,Rank4,Rank5,Decision +ABBV,0.182,0.2212,0.2168,0.2058,0.1742,0.14402 +ACN,0.2548,0.1612,0.1524,0.1716,0.26,0.30011 +AEP,0.1424,0.2358,0.244,0.2356,0.1422,0.13382 +AIZ,0.1968,0.2034,0.2142,0.2032,0.1824,0.18422 +ALLE,0.224,0.1784,0.1726,0.1838,0.2412,0.23783 diff --git a/examples_portfolios/m6/partial/m6_20220610-203240.csv b/examples_portfolios/m6/partial/m6_20220610-203240.csv new file mode 100644 index 00000000..e12f6e32 --- /dev/null +++ b/examples_portfolios/m6/partial/m6_20220610-203240.csv @@ -0,0 +1,6 @@ +ID,Rank1,Rank2,Rank3,Rank4,Rank5,Decision +ABBV,0.1854,0.2182,0.2072,0.2162,0.173,0.14402 +ACN,0.2494,0.1626,0.1646,0.1664,0.257,0.30011 +AEP,0.1502,0.2334,0.243,0.228,0.1454,0.13382 +AIZ,0.1922,0.1956,0.2084,0.2126,0.1912,0.18422 +ALLE,0.2228,0.1902,0.1768,0.1768,0.2334,0.23783 diff --git a/examples_portfolios/m6/partial/m6_20220610-203402.csv b/examples_portfolios/m6/partial/m6_20220610-203402.csv new file mode 100644 index 00000000..83b9aa0f --- /dev/null +++ b/examples_portfolios/m6/partial/m6_20220610-203402.csv @@ -0,0 +1,6 @@ +ID,Rank1,Rank2,Rank3,Rank4,Rank5,Decision 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b/examples_portfolios/m6/partial/m6_20220613-101206.csv @@ -0,0 +1,6 @@ +ID,Rank1,Rank2,Rank3,Rank4,Rank5,Decision +ABBV,0.1816,0.2152,0.2188,0.2166,0.1678,0.2 +ACN,0.2546,0.1594,0.1576,0.1676,0.2608,0.2 +AEP,0.1496,0.2352,0.2388,0.2264,0.15,0.2 +AIZ,0.189,0.2102,0.207,0.2082,0.1856,0.2 +ALLE,0.2252,0.18,0.1778,0.1812,0.2358,0.2 diff --git a/examples_portfolios/m6/partial/m6_20220613-112944.csv b/examples_portfolios/m6/partial/m6_20220613-112944.csv new file mode 100644 index 00000000..7d0faa88 --- /dev/null +++ b/examples_portfolios/m6/partial/m6_20220613-112944.csv @@ -0,0 +1,6 @@ +ID,Rank1,Rank2,Rank3,Rank4,Rank5,Decision +ABBV,0.1732,0.2124,0.2186,0.2124,0.1834,0.14306 +ACN,0.251,0.1708,0.1526,0.1654,0.2602,0.29903 +AEP,0.1518,0.2302,0.2528,0.2182,0.147,0.13938 +AIZ,0.189,0.2084,0.2052,0.2146,0.1828,0.17922 +ALLE,0.235,0.1782,0.1708,0.1894,0.2266,0.2393 diff --git a/examples_portfolios/m6/partial/m6_20220620-134440.csv b/examples_portfolios/m6/partial/m6_20220620-134440.csv new file mode 100644 index 00000000..1f6f55a2 --- /dev/null +++ b/examples_portfolios/m6/partial/m6_20220620-134440.csv @@ -0,0 +1,6 @@ +ID,Rank1,Rank2,Rank3,Rank4,Rank5,Decision +ABBV,0.1656,0.217,0.2196,0.219,0.1788,0.13921 +ACN,0.263,0.1614,0.1614,0.1638,0.2504,0.29478 +AEP,0.153,0.2262,0.2342,0.2204,0.1662,0.15383 +AIZ,0.1806,0.2124,0.2148,0.2116,0.1806,0.17127 +ALLE,0.2378,0.183,0.17,0.1852,0.224,0.24091 diff --git a/examples_portfolios/m6/partial/m6_20220622-111741.csv b/examples_portfolios/m6/partial/m6_20220622-111741.csv new file mode 100644 index 00000000..ff064d3e --- /dev/null +++ b/examples_portfolios/m6/partial/m6_20220622-111741.csv @@ -0,0 +1,6 @@ +ID,Rank1,Rank2,Rank3,Rank4,Rank5,Decision +ABBV,0.1764,0.211,0.2168,0.2192,0.1766,0.14651 +ACN,0.2536,0.1718,0.1546,0.1658,0.2542,0.29547 +AEP,0.1594,0.2226,0.2302,0.2216,0.1662,0.15442 +AIZ,0.1822,0.2118,0.2224,0.2068,0.1768,0.16895 +ALLE,0.2284,0.1828,0.176,0.1866,0.2262,0.23465 diff --git a/examples_portfolios/m6/partial/m6_20220625-214553.csv b/examples_portfolios/m6/partial/m6_20220625-214553.csv new file mode 100644 index 00000000..36c6ebdd --- /dev/null +++ b/examples_portfolios/m6/partial/m6_20220625-214553.csv @@ -0,0 +1,6 @@ +ID,Rank1,Rank2,Rank3,Rank4,Rank5,Decision +ABBV,0.1756,0.2168,0.2132,0.2168,0.1776,0.14833 +ACN,0.2558,0.1584,0.1592,0.173,0.2536,0.29346 +AEP,0.1612,0.2234,0.2404,0.219,0.156,0.15463 +AIZ,0.183,0.2154,0.2036,0.2184,0.1796,0.16653 +ALLE,0.2244,0.186,0.1836,0.1728,0.2332,0.23705 diff --git a/examples_portfolios/m6/partial/m6_20220718-092354.csv b/examples_portfolios/m6/partial/m6_20220718-092354.csv new file mode 100644 index 00000000..47d45d1c --- /dev/null +++ b/examples_portfolios/m6/partial/m6_20220718-092354.csv @@ -0,0 +1,6 @@ +ID,Rank1,Rank2,Rank3,Rank4,Rank5,Decision +ABBV,0.1904,0.2146,0.2116,0.2062,0.1772,0.16049 +ACN,0.2508,0.1712,0.159,0.166,0.253,0.2861 +AEP,0.164,0.221,0.2226,0.212,0.1804,0.1708 +AIZ,0.1748,0.2104,0.223,0.2246,0.1672,0.15542 +ALLE,0.22,0.1828,0.1838,0.1912,0.2222,0.22719 diff --git a/examples_portfolios/m6/partial/m6_20220718-104329.csv b/examples_portfolios/m6/partial/m6_20220718-104329.csv new file mode 100644 index 00000000..6ea55288 --- /dev/null +++ b/examples_portfolios/m6/partial/m6_20220718-104329.csv @@ -0,0 +1,6 @@ +ID,Rank1,Rank2,Rank3,Rank4,Rank5,Decision +ABBV,0.1888,0.2084,0.2086,0.207,0.1872,0.16051 +ACN,0.248,0.1774,0.1614,0.166,0.2472,0.2858 +AEP,0.1766,0.2098,0.2216,0.2156,0.1764,0.17095 +AIZ,0.1664,0.2212,0.2216,0.2194,0.1714,0.15547 +ALLE,0.2202,0.1832,0.1868,0.192,0.2178,0.22726 diff --git a/examples_portfolios/m6/partial/m6_20220719-133043.csv b/examples_portfolios/m6/partial/m6_20220719-133043.csv new file mode 100644 index 00000000..9fbca13d --- /dev/null +++ b/examples_portfolios/m6/partial/m6_20220719-133043.csv @@ -0,0 +1,6 @@ +ID,Rank1,Rank2,Rank3,Rank4,Rank5,Decision +ABBV,0.1862,0.2164,0.2128,0.205,0.1796,0.16336 +ACN,0.2518,0.171,0.1626,0.1652,0.2494,0.2849 +AEP,0.1686,0.2144,0.2174,0.2258,0.1738,0.16787 +AIZ,0.1692,0.2132,0.2244,0.2144,0.1788,0.15792 +ALLE,0.2242,0.185,0.1828,0.1896,0.2184,0.22596 diff --git a/examples_portfolios/m6/partial/m6_20220719-133316.csv b/examples_portfolios/m6/partial/m6_20220719-133316.csv new file mode 100644 index 00000000..53a93e5f --- /dev/null +++ b/examples_portfolios/m6/partial/m6_20220719-133316.csv @@ -0,0 +1,6 @@ +ID,Rank1,Rank2,Rank3,Rank4,Rank5,Decision +ABBV,0.1822,0.2102,0.2122,0.2082,0.1872,0.1634 +ACN,0.2494,0.1664,0.163,0.1736,0.2476,0.28485 +AEP,0.1758,0.2184,0.2294,0.2148,0.1616,0.16789 +AIZ,0.1786,0.213,0.2132,0.216,0.1792,0.15794 +ALLE,0.214,0.192,0.1822,0.1874,0.2244,0.22593 diff --git a/examples_portfolios/m6/partial/m6_20220723-123411.csv b/examples_portfolios/m6/partial/m6_20220723-123411.csv new file mode 100644 index 00000000..a57257f1 --- /dev/null +++ b/examples_portfolios/m6/partial/m6_20220723-123411.csv @@ -0,0 +1,6 @@ +ID,Rank1,Rank2,Rank3,Rank4,Rank5,Decision +ABBV,0.1878,0.2226,0.1964,0.2076,0.1856,0.16006 +ACN,0.2574,0.1624,0.1606,0.1662,0.2534,0.29273 +AEP,0.1622,0.2196,0.2336,0.2228,0.1618,0.16144 +AIZ,0.1668,0.219,0.225,0.2162,0.173,0.15612 +ALLE,0.2258,0.1764,0.1844,0.1872,0.2262,0.22965 diff --git a/examples_portfolios/m6/partial/m6_20220723-124045.csv b/examples_portfolios/m6/partial/m6_20220723-124045.csv new file mode 100644 index 00000000..9ddba6fc --- /dev/null +++ b/examples_portfolios/m6/partial/m6_20220723-124045.csv @@ -0,0 +1,6 @@ +ID,Rank1,Rank2,Rank3,Rank4,Rank5,Decision +ABBV,0.1802,0.2036,0.2168,0.2142,0.1852,0.16006 +ACN,0.2554,0.1656,0.1666,0.1642,0.2482,0.29273 +AEP,0.169,0.22,0.222,0.2196,0.1694,0.16144 +AIZ,0.1734,0.2222,0.2184,0.2148,0.1712,0.15612 +ALLE,0.222,0.1886,0.1762,0.1872,0.226,0.22965 diff --git a/examples_portfolios/m6/partial/m6_20220726-140040.csv b/examples_portfolios/m6/partial/m6_20220726-140040.csv new file mode 100644 index 00000000..7756b7b0 --- /dev/null +++ b/examples_portfolios/m6/partial/m6_20220726-140040.csv @@ -0,0 +1,6 @@ +ID,Rank1,Rank2,Rank3,Rank4,Rank5,Decision +ABBV,0.1948,0.2106,0.2004,0.2032,0.191,0.16261 +ACN,0.252,0.1682,0.1602,0.1684,0.2512,0.29247 +AEP,0.1664,0.2174,0.232,0.2178,0.1664,0.16388 +AIZ,0.1658,0.2264,0.227,0.2162,0.1646,0.15229 +ALLE,0.221,0.1774,0.1804,0.1944,0.2268,0.22876 diff --git a/examples_portfolios/m6/partial/m6_20220726-140735.csv b/examples_portfolios/m6/partial/m6_20220726-140735.csv new file mode 100644 index 00000000..c0bf622f --- /dev/null +++ b/examples_portfolios/m6/partial/m6_20220726-140735.csv @@ -0,0 +1,6 @@ +ID,Rank1,Rank2,Rank3,Rank4,Rank5,Decision +ABBV,0.1872,0.2202,0.2034,0.2154,0.1738,0.16273 +ACN,0.2518,0.1618,0.1614,0.1676,0.2574,0.2923 +AEP,0.1696,0.2154,0.2378,0.2118,0.1654,0.16395 +AIZ,0.1682,0.2222,0.2124,0.2216,0.1756,0.1523 +ALLE,0.2232,0.1804,0.185,0.1836,0.2278,0.22872 diff --git a/examples_portfolios/m6/partial/m6_20220726-141508.csv b/examples_portfolios/m6/partial/m6_20220726-141508.csv new file mode 100644 index 00000000..8f404b49 --- /dev/null +++ b/examples_portfolios/m6/partial/m6_20220726-141508.csv @@ -0,0 +1,6 @@ +ID,Rank1,Rank2,Rank3,Rank4,Rank5,Decision +ABBV,0.1814,0.2038,0.2122,0.2096,0.193,0.16245 +ACN,0.258,0.1684,0.1566,0.1738,0.2432,0.29258 +AEP,0.1662,0.2122,0.2302,0.2164,0.175,0.16384 +AIZ,0.1656,0.2242,0.2216,0.2222,0.1664,0.1523 +ALLE,0.2288,0.1914,0.1794,0.178,0.2224,0.22883 diff --git a/examples_portfolios/m6/partial/m6_20220728-135000.csv b/examples_portfolios/m6/partial/m6_20220728-135000.csv new file mode 100644 index 00000000..16f4724c --- /dev/null +++ b/examples_portfolios/m6/partial/m6_20220728-135000.csv @@ -0,0 +1,6 @@ +ID,Rank1,Rank2,Rank3,Rank4,Rank5,Decision +ABBV,0.1912,0.207,0.2024,0.216,0.1834,0.16108 +ACN,0.2562,0.1654,0.1526,0.1588,0.267,0.30051 +AEP,0.165,0.2272,0.2332,0.212,0.1626,0.15911 +AIZ,0.1668,0.2174,0.2258,0.23,0.16,0.14984 +ALLE,0.2208,0.183,0.186,0.1832,0.227,0.22946 diff --git a/examples_portfolios/m6/partial/m6_20220802-140802.csv b/examples_portfolios/m6/partial/m6_20220802-140802.csv new file mode 100644 index 00000000..029ceae4 --- /dev/null +++ b/examples_portfolios/m6/partial/m6_20220802-140802.csv @@ -0,0 +1,6 @@ +ID,Rank1,Rank2,Rank3,Rank4,Rank5,Decision +ABBV,0.1948,0.2,0.2024,0.206,0.1968,0.16078 +ACN,0.254,0.1714,0.1552,0.1618,0.2576,0.30061 +AEP,0.1652,0.2138,0.236,0.2222,0.1628,0.16275 +AIZ,0.1722,0.2148,0.223,0.2282,0.1618,0.1511 +ALLE,0.2138,0.2,0.1834,0.1818,0.221,0.22475 diff --git a/examples_portfolios/m6/partial/m6_20220802-140929.csv b/examples_portfolios/m6/partial/m6_20220802-140929.csv new file mode 100644 index 00000000..d6f4da6a --- /dev/null +++ b/examples_portfolios/m6/partial/m6_20220802-140929.csv @@ -0,0 +1,6 @@ +ID,Rank1,Rank2,Rank3,Rank4,Rank5,Decision +ABBV,0.183,0.1986,0.204,0.211,0.2034,0.16084 +ACN,0.2596,0.1694,0.153,0.1576,0.2604,0.30064 +AEP,0.163,0.2256,0.2332,0.2216,0.1566,0.16275 +AIZ,0.1692,0.2174,0.2342,0.2176,0.1616,0.15107 +ALLE,0.2252,0.189,0.1756,0.1922,0.218,0.2247 diff --git a/examples_portfolios/m6/partial/m6_20220802-141619.csv b/examples_portfolios/m6/partial/m6_20220802-141619.csv new file mode 100644 index 00000000..d42ce8d1 --- /dev/null +++ b/examples_portfolios/m6/partial/m6_20220802-141619.csv @@ -0,0 +1,6 @@ +ID,Rank1,Rank2,Rank3,Rank4,Rank5,Decision +ABBV,0.1982,0.196,0.2,0.2106,0.1952,0.16086 +ACN,0.2588,0.1694,0.1582,0.1584,0.2552,0.30063 +AEP,0.1568,0.225,0.234,0.22,0.1642,0.16276 +AIZ,0.1614,0.2224,0.2306,0.2214,0.1642,0.15107 +ALLE,0.2248,0.1872,0.1772,0.1896,0.2212,0.22467 diff --git a/examples_portfolios/m6/partial/m6_20220802-142730.csv b/examples_portfolios/m6/partial/m6_20220802-142730.csv new file mode 100644 index 00000000..fe99db7a --- /dev/null +++ b/examples_portfolios/m6/partial/m6_20220802-142730.csv @@ -0,0 +1,6 @@ +ID,Rank1,Rank2,Rank3,Rank4,Rank5,Decision +ABBV,0.2046,0.1928,0.2008,0.201,0.2008,0.16102 +ACN,0.2536,0.1672,0.1548,0.175,0.2494,0.30076 +AEP,0.1592,0.2266,0.2362,0.218,0.16,0.16276 +AIZ,0.1676,0.2164,0.2258,0.2212,0.169,0.15101 +ALLE,0.215,0.197,0.1824,0.1848,0.2208,0.22445 diff --git a/examples_portfolios/m6/partial/m6_20220802-152000.csv b/examples_portfolios/m6/partial/m6_20220802-152000.csv new file mode 100644 index 00000000..dd2027e9 --- /dev/null +++ b/examples_portfolios/m6/partial/m6_20220802-152000.csv @@ -0,0 +1,6 @@ +ID,Rank1,Rank2,Rank3,Rank4,Rank5,Decision +ABBV,0.1964,0.213,0.2016,0.199,0.19,0.16051 +ACN,0.2564,0.1726,0.1576,0.1604,0.253,0.30026 +AEP,0.1584,0.2156,0.2348,0.238,0.1532,0.16261 +AIZ,0.1618,0.2104,0.2328,0.2194,0.1756,0.15146 +ALLE,0.227,0.1884,0.1732,0.1832,0.2282,0.22516 diff --git a/examples_portfolios/parity/README.md b/examples_portfolios/parity/README.md new file mode 100644 index 00000000..205cf292 --- /dev/null +++ b/examples_portfolios/parity/README.md @@ -0,0 +1 @@ +Ideas for objective funtions diff --git a/examples_portfolios/parity/proportional_parity.ipynb b/examples_portfolios/parity/proportional_parity.ipynb new file mode 100644 index 00000000..0e336442 --- /dev/null +++ b/examples_portfolios/parity/proportional_parity.ipynb @@ -0,0 +1,234 @@ +{ + "nbformat": 4, + "nbformat_minor": 0, + "metadata": { + "colab": { + "provenance": [], + "authorship_tag": "ABX9TyMNUGLVF5XKi2Sm7qF9bzJX", + "include_colab_link": true + }, + "kernelspec": { + "name": "python3", + "display_name": "Python 3" + }, + "language_info": { + "name": "python" + } + }, + "cells": [ + { + "cell_type": "markdown", + "metadata": { + "id": "view-in-github", + "colab_type": "text" + }, + "source": [ + "\"Open" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "it9pftpIvYGd" + }, + "outputs": [], + "source": [ + "!pip install riskparityportfolio\n", + "!pip install precise\n", + "!pip install git+https://github.com/microprediction/humpday.git" + ] + }, + { + "cell_type": "code", + "source": [ + "from precise.skaters.covarianceutil.covrandom import rnd_symm_cov\n", + "import riskparityportfolio as rp\n", + "import numpy as np \n", + "from typing import List \n", + "\n", + "def normalize(x):\n", + " return np.array(x)/np.sum(x)\n", + "\n", + "def dim_from_partition(partition):\n", + " return max( [max(ndxs) for ndxs in partition])+1\n", + "\n", + "def partition_matrix(partition:List[List[int]]):\n", + " \"\"\" \n", + " Just for adding up the allocations\n", + " \"\"\"\n", + " n_groups = len(partition)\n", + " n_dim = dim_from_partition(partition)\n", + " shape = (n_groups, n_dim)\n", + " A = np.zeros(shape=shape)\n", + " for group_i, ndxs in enumerate(partition):\n", + " n_group = len(ndxs)\n", + " for asset_j in ndxs:\n", + " A[group_i, asset_j] = 1.0\n", + " return A \n", + "\n", + "def group_normalized_budget(partition):\n", + " \"\"\" b is normalized within groups \"\"\"\n", + " n_dim = dim_from_partition(partition)\n", + " b = np.zeros(n_dim)\n", + " for ndxs in partition:\n", + " n_group = len(ndxs)\n", + " for ndx in ndxs:\n", + " b[ndx] = 1/n_group \n", + " return b \n", + "\n", + "def group_allocation_error(w, A, a):\n", + " \"\"\" Penalize deviation from desired group allocation\n", + " w is n_assets x 1 \n", + " A is n_groups x n_assets \n", + " a is length n_groups \n", + "\n", + " \"\"\"\n", + " desired_alloc = normalize(a)\n", + " w_col = np.array(w).reshape((-1,1))\n", + " actual_alloc = np.squeeze(normalize(np.matmul(A,w_col)))\n", + " sq_err = np.linalg.norm(actual_alloc-desired_alloc)\n", + " return sq_err, actual_alloc\n", + " \n", + "def tilted_budget(u, partition):\n", + " \"\"\" \n", + " Tilt the budgets, but they should still add to unity \n", + " \"\"\"\n", + " assert len(u)==len(partition)\n", + " b = group_normalized_budget(partition=partition)\n", + " bu = np.copy(b) \n", + " assert len(u)==len(partition)\n", + " for i, ndxs in enumerate(partition):\n", + " for ndx in ndxs:\n", + " bu[ndx] = u[i]*b[ndx]\n", + " return bu \n", + " \n", + "\n", + "def tilt(u, cov, a, partition):\n", + " \"\"\"\n", + " u - scales the budgets\n", + "\n", + " \"\"\" \n", + " b_tilt = tilted_budget(u=u, partition=partition)\n", + " A = partition_matrix(partition)\n", + " w = rp.vanilla.design(cov, b=b_tilt)\n", + " sq_err, allocation = group_allocation_error(w=w,A=A,a=a)\n", + " return sq_err, w, allocation\n" + ], + "metadata": { + "id": "JlouQh7yxJr4" + }, + "execution_count": 11, + "outputs": [] + }, + { + "cell_type": "markdown", + "source": [ + "### Example of a feasible allocation" + ], + "metadata": { + "id": "uaMpe8faYGY5" + } + }, + { + "cell_type": "code", + "source": [ + "PARTITION = [list(range(1300)),list(range(1300,2350)),list(range(2350,3500))]*2\n", + "n_dim = dim_from_partition(PARTITION)\n", + "COV = rnd_symm_cov(rho=0.3, severity=0.1, n_dim=n_dim)\n", + "known_feasible_alloc = np.array([0.11439489, 0.15308126, 0.23252385]*2)\n", + "desired_alloc = np.array([0.15439489, 0.11308126, 0.23252385]*2)\n", + "\n", + "def _tilt(u):\n", + " return tilt(u=u, cov=COV, a=desired_alloc, partition=PARTITION)[0]\n", + "\n", + "def _allocation(u):\n", + " A = partition_matrix(partition=PARTITION)\n", + " sq_error, w, allocation = tilt(u=u, cov=COV, a=desired_alloc, partition=PARTITION)\n", + " return allocation \n", + " \n", + "\n", + "import numpy as np\n", + "from scipy.optimize import minimize\n", + "\n", + "def constraint(x):\n", + " return np.sum(x) - 1\n", + "n_groups = len(PARTITION)\n", + "bounds = [(0, 1) for i in range(n_groups)]\n", + "con = {'type': 'eq', 'fun': constraint}\n", + "options = {'maxiter': 1000, 'ftol': 1e-9}\n", + "x0 = np.array([1/n_groups for _ in range(n_groups)])\n", + "result = minimize(_tilt, x0, method='SLSQP', constraints=con, bounds=bounds, options=options)\n", + "u = result.x\n", + "from pprint import pprint\n", + "pprint({'budget factors ':u,'desired alloc. ':np.array(desired_alloc),'actual allocation':_allocation(u),'allocation diff. ':_allocation(u)-desired_alloc})\n" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "2RpY3_tX8vBp", + "outputId": "792c5e76-10ec-4943-99c1-143e0c82f7a8" + }, + "execution_count": 58, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "{'actual allocation': array([0.15439517, 0.11308157, 0.23252326, 0.15439517, 0.11308157,\n", + " 0.23252326]),\n", + " 'allocation diff. ': array([ 2.82449624e-07, 3.09795086e-07, -5.92244710e-07, 2.82449624e-07,\n", + " 3.09795086e-07, -5.92244710e-07]),\n", + " 'budget factors ': array([0.07816374, 0.07816374, 0.07816374, 0.28232149, 0.17646815,\n", + " 0.30671915]),\n", + " 'desired alloc. ': array([0.15439489, 0.11308126, 0.23252385, 0.15439489, 0.11308126,\n", + " 0.23252385])}\n" + ] + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "# Plotting (3d only)\n", + "It looks pretty clean" + ], + "metadata": { + "id": "tOCmYTPsDkVO" + } + }, + { + "cell_type": "code", + "source": [ + "import matplotlib as mpl\n", + "mpl.rcParams['figure.figsize'] = [10.0, 8.0]\n", + "from humpday.visualization.plotting import simplex_surf\n", + "simplex_surf(_tilt)" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 466 + }, + "id": "gT3eKLtNDlVM", + "outputId": "c554a4c8-9509-4f30-ca73-557de9d0edc1" + }, + "execution_count": 31, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": [ + "
" + ], + "image/png": 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\n" + }, + "metadata": { + "needs_background": "light" + } + } + ] + } + ] +} \ No newline at end of file diff --git a/examples_portfolios/seriation/__init__.py b/examples_portfolios/seriation/__init__.py new file mode 100644 index 00000000..e69de29b diff --git a/examples_portfolios/seriation/metals_seriation.py b/examples_portfolios/seriation/metals_seriation.py new file mode 100644 index 00000000..5a8148da --- /dev/null +++ b/examples_portfolios/seriation/metals_seriation.py @@ -0,0 +1,11 @@ +from precise.skatertools.data.preciousmetalsreturns import precious_metals_returns +from precise.skaters.covarianceutil.covfunctions import seriation +import numpy as np + +# Example of ordering assets + +if __name__ == '__main__': + xs = precious_metals_returns() + cov = np.cov(xs, rowvar=False) + ndx = seriation(cov=cov) + print(ndx) diff --git a/examples_portfolios/simulation/__init__.py b/examples_portfolios/simulation/__init__.py new file mode 100644 index 00000000..e69de29b diff --git a/examples_portfolios/simulation/four_asset_comparison.py b/examples_portfolios/simulation/four_asset_comparison.py new file mode 100644 index 00000000..77a083d2 --- /dev/null +++ b/examples_portfolios/simulation/four_asset_comparison.py @@ -0,0 +1,19 @@ +from pprint import pprint +from precise.skatervaluation.portfoliocomparisonutil.portcomparison import port_kurtosis +from precise.skaters.portfoliostatic.allstaticport import LONG_PORT +import numpy as np + +# Comparing out-of-sample portfolio variance + +if __name__=='__main__': + ports = LONG_PORT + anchor_cov = np.eye(40) + moments = port_kurtosis(ports=ports, seed_cov=anchor_cov, max_time=5 * 60, + n_true=50, n_anchor=50, n_observed=50, metric='mean') + pprint(moments) + + + + + + diff --git a/examples_portfolios/simulation/suggest_port_based_on_simulation.py b/examples_portfolios/simulation/suggest_port_based_on_simulation.py new file mode 100644 index 00000000..a795cdf6 --- /dev/null +++ b/examples_portfolios/simulation/suggest_port_based_on_simulation.py @@ -0,0 +1,69 @@ +from precise.skatervaluation.portfoliocomparisonutil.portsuggestion import suggest_port_using_sample_cov +from pprint import pprint + +# Recommend static portfolio function based on sampled port var using simulation + + +if __name__=='__main__': + pprint(suggest_port_using_sample_cov(n_dim=500, n_anchor=600, n_true=1000, n_observed=250)) + + + + + + + +# Some results below... +# pprint(sample_var_suggestions(n_dim=20, n_draws=500, n_samples=200, n_anchor_samples=200)) + +result= [('weak_long_port', 0.3225309176379648), + ('hrp_diag_weak_s5_long_port', 0.32500160253517624), + ('hrp_weak_diag_s5_long_port', 0.32500160253517624), + ('hrp_weak_weak_s5_long_port', 0.3250038781544728), + ('schur_weak_weak_s5_g050_long_port', 0.32502478692426406), + ('ppo_quad_long_port', 0.3250380273392608), + ('ppo_vol_long_port', 0.3258167331319683), + ('schur_weak_weak_s5_g100_long_port', 0.32581688954098414), + ('diag_long_port', 0.33205243885571795), + ('ppo_quad_port', 0.3326438106380653), + ('unit_port', 0.3349498393460227), + ('ppo_vol_port', 0.33494986527520165), + ('equal_long_port', 0.335745305599477), + ('schur_diag_diag_s5_g100_long_port', 0.3363809194609325), + ('schur_diag_diag_s5_g050_long_port', 0.33638197292595123), + ('hrp_diag_diag_s5_long_port', 0.3364297258865387), + ('hrp_unit_diag_s5_port', 0.3388700847179224), + ('hrp_unit_unit_s5_port', 0.3388741854001973), + ('hrp_unit_weak_s5_port', 0.3388766198811776), + ('schur_unit_unit_s5_g050_port', 0.3389499356908701), + ('schur_unit_unit_s5_g100_port', 0.3391326320617823), + ('ppo_sharpe_long_port', 0.3429217942272056), + ('ppo_sharpe_port', 0.35920489677145645)] + + + +# pprint(sample_var_suggestions(n_dim=50, n_draws=500, n_samples=200, n_anchor_samples=200)) + +result = [('weak_long_port', 0.28201237175425664), + ('ppo_quad_long_port', 0.28691596836621003), + ('ppo_vol_long_port', 0.287586722563168), + ('schur_weak_weak_s5_g100_long_port', 0.3000864943055388), + ('schur_weak_weak_s5_g050_long_port', 0.30183489136014274), + ('hrp_weak_diag_s5_long_port', 0.30322931421876953), + ('hrp_diag_weak_s5_long_port', 0.3032299914427331), + ('hrp_weak_weak_s5_long_port', 0.3032375945185192), + ('ppo_quad_port', 0.3085125317831518), + ('diag_long_port', 0.30865645216189663), + ('ppo_sharpe_long_port', 0.30960958196423255), + ('schur_diag_diag_s5_g050_long_port', 0.31177144296164805), + ('schur_diag_diag_s5_g100_long_port', 0.3117813323186178), + ('hrp_diag_diag_s5_long_port', 0.31193888671764347), + ('equal_long_port', 0.3123120335469827), + ('schur_unit_unit_s5_g100_port', 0.3126512980773186), + ('hrp_unit_diag_s5_port', 0.3127047766040293), + ('hrp_unit_unit_s5_port', 0.3127129478018668), + ('schur_unit_unit_s5_g050_port', 0.3127165635048669), + ('hrp_unit_weak_s5_port', 0.3127264675087814), + ('ppo_vol_port', 0.31391671831526435), + ('unit_port', 0.3139167798238576), + ('ppo_sharpe_port', 0.4062215466936162)] diff --git a/images/README.md b/images/README.md new file mode 100644 index 00000000..982793c3 --- /dev/null +++ b/images/README.md @@ -0,0 +1 @@ +whatever diff --git a/images/incremental.png b/images/incremental.png new file mode 100644 index 00000000..98d7757e Binary files /dev/null and b/images/incremental.png differ diff --git a/images/lb_hightlight2.png b/images/lb_hightlight2.png new file mode 100644 index 00000000..e0e9c60d Binary files /dev/null and b/images/lb_hightlight2.png differ diff --git a/inverse_covariance.ipynb b/inverse_covariance.ipynb deleted file mode 100644 index a8e93502..00000000 --- a/inverse_covariance.ipynb +++ /dev/null @@ -1,468 +0,0 @@ -{ - "nbformat": 4, - "nbformat_minor": 0, - "metadata": { - "colab": { - "name": "inverse_covariance.ipynb", - "provenance": [], - "authorship_tag": "ABX9TyNfJ+R2+/OwZ+rluYkwAoug", - "include_colab_link": true - }, - "kernelspec": { - "name": "python3", - "display_name": "Python 3" - }, - "language_info": { - "name": "python" - } - }, - "cells": [ - { - "cell_type": "markdown", - "metadata": { - "id": "view-in-github", - "colab_type": "text" - }, - "source": [ - "\"Open" - ] - }, - { - "cell_type": "code", - "execution_count": 184, - "metadata": { - "colab": { - "base_uri": "https://localhost:8080/" - }, - "id": "mxjdypk4cZV-", - "outputId": "2b5673ea-90e0-4dd8-9dee-80a0a48d8649" - }, - "outputs": [ - { - "output_type": "execute_result", - "data": { - "text/plain": [ - "array([[ 1.28009093, -0.17315128, 0.04119847],\n", - " [-0.17315128, 1.10831699, 0.14330659],\n", - " [ 0.04119847, 0.14330659, 1.03479319]])" - ] - }, - "metadata": {}, - "execution_count": 184 - } - ], - "source": [ - "import numpy as np\n", - "n = 10\n", - "n_true = 50\n", - "X1 = np.random.randn(n,n_true)\n", - "E1 = np.cov(X1) # n x n\n", - "P1 = np.linalg.inv(E1)\n", - "n_train = 24\n", - "X2 = np.random.multivariate_normal(mean=np.zeros(n), cov = E1, size=n_train) # n_train x n\n", - "P1[:3,:3]" - ] - }, - { - "cell_type": "code", - "source": [ - "S = np.cov(np.transpose(X2)) # n x n \n", - "P2 = np.linalg.inv(S)\n", - "err2 = np.linalg.norm(P1-P2)\n", - "err2" - ], - "metadata": { - "colab": { - "base_uri": "https://localhost:8080/" - }, - "id": "cwrh6Mt-cler", - "outputId": "28ab3b76-3e63-41e7-85cb-410f1205a42b" - }, - "execution_count": 215, - "outputs": [ - { - "output_type": "execute_result", - "data": { - "text/plain": [ - "6.694635442300702" - ] - }, - "metadata": {}, - "execution_count": 215 - } - ] - }, - { - "cell_type": "code", - "source": [ - "mu = np.squeeze(np.matmul(S,np.ones((n,1))))\n", - "mu" - ], - "metadata": { - "colab": { - "base_uri": "https://localhost:8080/" - }, - "id": "mYZjHxUDfABZ", - "outputId": "38c11905-1d92-453c-c2e0-6e18409b0302" - }, - "execution_count": 216, - "outputs": [ - { - "output_type": "execute_result", - "data": { - "text/plain": [ - "array([ 1.00026654, 1.21087137, 0.54289127, -0.10452896, 0.20019532,\n", - " 0.61348269, 2.90471695, 1.35524376, 0.53431303, -0.68546138])" - ] - }, - "metadata": {}, - "execution_count": 216 - } - ] - }, - { - "cell_type": "code", - "source": [ - "D = np.diag(mu)\n", - "D[:3,:3]" - ], - "metadata": { - "colab": { - "base_uri": "https://localhost:8080/" - }, - "id": "A2O3NN3fdx_9", - "outputId": "b8de8dea-4a7b-45d8-d4ac-66ba6e6a33d4" - }, - "execution_count": 217, - "outputs": [ - { - "output_type": "execute_result", - "data": { - "text/plain": [ - "array([[1.00026654, 0. , 0. ],\n", - " [0. , 1.21087137, 0. ],\n", - " [0. , 0. , 0.54289127]])" - ] - }, - "metadata": {}, - "execution_count": 217 - } - ] - }, - { - "cell_type": "code", - "source": [ - "alpha2 = np.linalg.norm(E1-D)" - ], - "metadata": { - "id": "EXjDrmIed8Vk" - }, - "execution_count": 218, - "outputs": [] - }, - { - "cell_type": "code", - "source": [ - "beta2 = np.linalg.norm(E1-E2)" - ], - "metadata": { - "id": "QmYv6KVHgGKz" - }, - "execution_count": 219, - "outputs": [] - }, - { - "cell_type": "code", - "source": [ - "rho = alpha2/(alpha2+beta2)\n", - "Estar = rho*S + (1-rho)*D\n", - "Pstar = np.linalg.inv(Estar)\n", - "err_star = np.linalg.norm(P1-Pstar)\n", - "err_star, rho" - ], - "metadata": { - "colab": { - "base_uri": "https://localhost:8080/" - }, - "id": "m5WgSRepgTnt", - "outputId": "e80d6618-6172-4a72-a5cb-21158ddd0e1c" - }, - "execution_count": 220, - "outputs": [ - { - "output_type": "execute_result", - "data": { - "text/plain": [ - "(15.47216781097261, 0.6188792306002491)" - ] - }, - "metadata": {}, - "execution_count": 220 - } - ] - }, - { - "cell_type": "code", - "source": [ - "Dinv = np.linalg.inv(D)\n", - "Dinv[:3,:3]" - ], - "metadata": { - "colab": { - "base_uri": "https://localhost:8080/" - }, - "id": "SAMnY3Bdplqi", - "outputId": "2f78d5c4-a60f-4c15-d45a-7de8fa1daebc" - }, - "execution_count": 221, - "outputs": [ - { - "output_type": "execute_result", - "data": { - "text/plain": [ - "array([[0.99973353, 0. , 0. ],\n", - " [0. , 0.82585155, 0. ],\n", - " [0. , 0. , 1.84198947]])" - ] - }, - "metadata": {}, - "execution_count": 221 - } - ] - }, - { - "cell_type": "code", - "source": [ - "A = rho/(1-rho)*np.matmul( Dinv, S )\n", - "I = np.eye(n)\n", - "np.linalg.norm( rho*S + (1-rho)*D - (1-rho)*np.matmul(D, (I + rho/(1-rho)*np.matmul(Dinv,S) )) )" - ], - "metadata": { - "colab": { - "base_uri": "https://localhost:8080/" - }, - "id": "_Bg84w_xq2fO", - "outputId": "4ff3148d-b912-4cde-8a07-009bdfeb674a" - }, - "execution_count": 225, - "outputs": [ - { - "output_type": "execute_result", - "data": { - "text/plain": [ - "3.920151220887736e-16" - ] - }, - "metadata": {}, - "execution_count": 225 - } - ] - }, - { - "cell_type": "code", - "source": [ - "np.linalg.norm( Estar - (1-rho)*np.matmul(D, (I + rho/(1-rho)*np.matmul(Dinv,S) )) )" - ], - "metadata": { - "colab": { - "base_uri": "https://localhost:8080/" - }, - "id": "KYRDynzTvqm5", - "outputId": "52c2cd43-7726-4457-8479-fdc390e04377" - }, - "execution_count": 226, - "outputs": [ - { - "output_type": "execute_result", - "data": { - "text/plain": [ - "3.920151220887736e-16" - ] - }, - "metadata": {}, - "execution_count": 226 - } - ] - }, - { - "cell_type": "code", - "source": [ - "Eprime = (1-rho)*np.matmul(D, (I + A ))\n", - "np.linalg.norm(Eprime-Estar)" - ], - "metadata": { - "colab": { - "base_uri": "https://localhost:8080/" - }, - "id": "vqFRc3_krbCU", - "outputId": "b6eed2a0-0a77-405e-d611-2e6028355070" - }, - "execution_count": 227, - "outputs": [ - { - "output_type": "execute_result", - "data": { - "text/plain": [ - "3.920151220887736e-16" - ] - }, - "metadata": {}, - "execution_count": 227 - } - ] - }, - { - "cell_type": "code", - "source": [ - "def hatE(S,rho:float, n_terms:int):\n", - " \"\"\" \n", - " Estimate precision from empirical covar S and shrinkage rho \n", - " \"\"\"\n", - " n = np.shape(S)[0]\n", - " mu = np.squeeze(np.matmul(S,np.ones((n,1))))\n", - " D = np.diag(mu)\n", - " Dinv = np.linalg.inv(D)\n", - " return (1-rho)*np.matmul(D, (I + rho/(1-rho)*np.matmul(Dinv,S) ))\n", - " \n", - "Ehat = hatE(S=S, rho=rho, n_terms=1)\n", - "np.linalg.norm(Estar-Ehat)" - ], - "metadata": { - "colab": { - "base_uri": "https://localhost:8080/" - }, - "id": "mjR9O8Cqifxa", - "outputId": "a94b6d7f-9e26-4852-b75c-f330ae2bb35a" - }, - "execution_count": 228, - "outputs": [ - { - "output_type": "execute_result", - "data": { - "text/plain": [ - "3.920151220887736e-16" - ] - }, - "metadata": {}, - "execution_count": 228 - } - ] - }, - { - "cell_type": "code", - "source": [ - "def neumann(T, k):\n", - " \"\"\" inv(I-T) via Neumann series \"\"\"\n", - " n = np.shape(T)[0]\n", - " I = np.eye(n)\n", - " Tk = I \n", - " Y = np.zeros(n)\n", - " for j in range(0,k):\n", - " Y = Y + Tk \n", - " Tk = np.matmul(Tk,T)\n", - " return Y\n", - " \n", - "C = np.array([[0,0.5,0.25],[5./7.,0,1./7.],[3./10.,3./5.,0.]])\n", - "Q1 = neumann(C,k=50)\n", - "Q2 = np.linalg.inv(np.eye(3)-C)\n", - "np.linalg.norm(Q1-Q2)\n" - ], - "metadata": { - "colab": { - "base_uri": "https://localhost:8080/" - }, - "id": "EjUOxm5NyXUZ", - "outputId": "63a77a41-2bdc-4074-cb53-59979b8e5cfe" - }, - "execution_count": 276, - "outputs": [ - { - "output_type": "execute_result", - "data": { - "text/plain": [ - "0.0003137031859386907" - ] - }, - "metadata": {}, - "execution_count": 276 - } - ] - }, - { - "cell_type": "code", - "source": [ - "def hatP(S,rho,k):\n", - " \"\"\" Well, this doesnt work \"\"\"\n", - " n = np.shape(S)[0]\n", - " mu = np.squeeze(np.matmul(S,np.ones((n,1))))\n", - " D = np.diag(mu)\n", - " Dinv = np.linalg.inv(D)\n", - " A = rho/(1-rho)*np.matmul(Dinv,S)\n", - " print(np.linalg.norm(A))\n", - " print(A[:3,:3])\n", - " hatPtrue = 1/(1-rho)*np.matmul(np.linalg.inv(I + A ),Dinv )\n", - " hatPapprox = 1/(1-rho)*np.matmul(neumann(-A,k=k ),Dinv )\n", - " return hatPapprox\n", - "\n", - "Phat = hatP(S=S,rho=rho, k=1)\n", - "np.linalg.norm(Phat-Pstar)" - ], - "metadata": { - "colab": { - "base_uri": "https://localhost:8080/" - }, - "id": "pE4LsXtuk2B0", - "outputId": "307a5817-d9c9-4a8d-f263-f2bd07d73c4b" - }, - "execution_count": 273, - "outputs": [ - { - "output_type": "stream", - "name": "stdout", - "text": [ - "16.800920353026694\n", - "[[ 1.36085925 -0.09933846 0.29586379]\n", - " [-0.08206069 1.22388106 -0.20744953]\n", - " [ 0.54512325 -0.46269798 2.61838924]]\n" - ] - }, - { - "output_type": "execute_result", - "data": { - "text/plain": [ - "34.802077164859526" - ] - }, - "metadata": {}, - "execution_count": 273 - } - ] - }, - { - "cell_type": "code", - "source": [ - "" - ], - "metadata": { - "colab": { - "base_uri": "https://localhost:8080/" - }, - "id": "DIjM5651lGYU", - "outputId": "22e71311-7fc9-423d-e804-f1c34d82f362" - }, - "execution_count": 86, - "outputs": [ - { - "output_type": "execute_result", - "data": { - "text/plain": [ - "(7.9560681004217955, 0.8397639648277383)" - ] - }, - "metadata": {}, - "execution_count": 86 - } - ] - } - ] -} \ No newline at end of file diff --git a/license.pdf b/license.pdf new file mode 100644 index 00000000..81cd2e4d Binary files /dev/null and b/license.pdf differ diff --git a/plotting/confidenceellipse.py b/plotting/confidenceellipse.py deleted file mode 100644 index 33bf5ce7..00000000 --- a/plotting/confidenceellipse.py +++ /dev/null @@ -1,77 +0,0 @@ - -# From https://carstenschelp.github.io/2018/09/14/Plot_Confidence_Ellipse_001.html - -if __name__=='__main__': - - import numpy as np - import matplotlib.pyplot as plt - from matplotlib.patches import Ellipse - import matplotlib.transforms as transforms - - def confidence_ellipse(x, y, ax, n_std=3.0, facecolor='none', **kwargs): - """ - Create a plot of the covariance confidence ellipse of `x` and `y` - - See how and why this works: https://carstenschelp.github.io/2018/09/14/Plot_Confidence_Ellipse_001.html - - This function has made it into the matplotlib examples collection: - https://matplotlib.org/devdocs/gallery/statistics/confidence_ellipse.html#sphx-glr-gallery-statistics-confidence-ellipse-py - - Or, once matplotlib 3.1 has been released: - https://matplotlib.org/gallery/index.html#statistics - - I update this gist according to the version there, because thanks to the matplotlib community - the code has improved quite a bit. - - Parameters - ---------- - x, y : array_like, shape (n, ) - Input data. - - ax : matplotlib.axes.Axes - The axes object to draw the ellipse into. - - n_std : float - The number of standard deviations to determine the ellipse's radiuses. - - Returns - ------- - matplotlib.patches.Ellipse - - Other parameters - ---------------- - kwargs : `~matplotlib.patches.Patch` properties - """ - if x.size != y.size: - raise ValueError("x and y must be the same size") - - cov = np.cov(x, y) - pearson = cov[0, 1 ] /np.sqrt(cov[0, 0] * cov[1, 1]) - # Using a special case to obtain the eigenvalues of this - # two-dimensionl dataset. - ell_radius_x = np.sqrt(1 + pearson) - ell_radius_y = np.sqrt(1 - pearson) - ellipse = Ellipse((0, 0), - width=ell_radius_x * 2, - height=ell_radius_y * 2, - facecolor=facecolor, - **kwargs) - - # Calculating the stdandard deviation of x from - # the squareroot of the variance and multiplying - # with the given number of standard deviations. - scale_x = np.sqrt(cov[0, 0]) * n_std - mean_x = np.mean(x) - - # calculating the stdandard deviation of y ... - scale_y = np.sqrt(cov[1, 1]) * n_std - mean_y = np.mean(y) - - transf = transforms.Affine2D() \ - .rotate_deg(45) \ - .scale(scale_x, scale_y) \ - .translate(mean_x, mean_y) - - ellipse.set_transform(transf + ax.transData) - return ax.add_patch(ellipse) - # render plot with "plt.show()". \ No newline at end of file diff --git a/precise/README.md b/precise/README.md index 97896a0b..831b0b76 100644 --- a/precise/README.md +++ b/precise/README.md @@ -1 +1 @@ -nothing \ No newline at end of file +just testin' \ No newline at end of file diff --git a/precise/__init__.py b/precise/__init__.py index e69de29b..8b137891 100644 --- a/precise/__init__.py +++ b/precise/__init__.py @@ -0,0 +1 @@ + diff --git a/precise/covariance/onlineempirical.py b/precise/covariance/onlineempirical.py deleted file mode 100644 index a94108e7..00000000 --- a/precise/covariance/onlineempirical.py +++ /dev/null @@ -1,47 +0,0 @@ -import numpy as np - -# Minor adaptations to code by Carsten Schelp -# https://carstenschelp.github.io/2019/05/12/Online_Covariance_Algorithm_002.html - - -def online_empirical_cov(s:dict=None, y:[float]=None, n_dim=None): - if s is None or s.get('n_dim') is None: - n_dim = len(y) if y is not None else n_dim - if s is None: - s = dict() - s['n_dim']=n_dim - s['shape']=(n_dim,n_dim) - s['identity'] = np.identity(n_dim) - s['ones'] = np.ones(n_dim) - s['count'] = 0 - s['mean'] = np.zeros(n_dim) - s['cov'] = np.zeros(s['shape']) - if y is not None: - assert s['n_dim'] == len(y) - s['count'] += 1 - delta_at_nMin1 = np.array(y - s['mean']) - s['mean'] += delta_at_nMin1 / s['count'] - weighted_delta_at_n = np.array(y - s['mean']) / s['count'] - D_at_n = np.broadcast_to(weighted_delta_at_n, s['shape']).T - D = (delta_at_nMin1 * s['identity']).dot(D_at_n.T) - s['cov'] = s['cov'] * (s['count'] - 1) / s['count'] + D - return s - - -def merge_online_empirical_cov(s:dict, other_s:dict): - """ Merge two online covariance tracking objects as if the data had been merged """ - if other_s['n_dim'] != s['n_dim']: - raise ValueError( - f''' - Cannot merge two OnlineCovariances with different orders. - ({s['n_dim']} != {other_s['n_dim']}) - ''') - - merged_cov = online_empirical_cov(n_dim=s['n_dim']) - merged_cov['count'] = s['count'] + other_s['count'] - count_corr = (other_s['count'] * s['count']) / merged_cov['count'] - merged_cov['mean'] = (s['mean'] / other_s['count'] + other_s['mean'] / s['count']) * count_corr - flat_mean_diff = s['mean'] - other_s['mean'] - mean_diffs = np.broadcast_to(flat_mean_diff, s['shape']).T - merged_cov['cov'] = (s['cov'] * s['count'] + other_s['cov'] * other_s['count'] + mean_diffs * mean_diffs.T * count_corr) / merged_cov['count'] - return merged_cov \ No newline at end of file diff --git a/precise/covariance/util.py b/precise/covariance/util.py deleted file mode 100644 index 78bbf315..00000000 --- a/precise/covariance/util.py +++ /dev/null @@ -1,15 +0,0 @@ -import numpy as np - - -def cov_to_corrcoef(cov): - variances = np.diagonal(cov) - denominator = np.sqrt(variances[np.newaxis, :] * variances[:, np.newaxis]) - return cov / denominator - - -def create_correlated_dataset(n, mu, dependency, scale): - latent = np.random.randn(n, dependency.shape[0]) - dependent = latent.dot(dependency) - scaled = dependent * scale - scaled_with_offset = scaled + mu - return scaled_with_offset \ No newline at end of file diff --git a/precise/inclusion/__init__.py b/precise/inclusion/__init__.py new file mode 100644 index 00000000..e69de29b diff --git a/precise/inclusion/matplotlibinclusion.py b/precise/inclusion/matplotlibinclusion.py new file mode 100644 index 00000000..2d896837 --- /dev/null +++ b/precise/inclusion/matplotlibinclusion.py @@ -0,0 +1,5 @@ +try: + import matplotlib + using_matplotlib=True +except: + using_matplotlib=False \ No newline at end of file diff --git a/precise/inclusion/pyportfoliooptinclusion.py b/precise/inclusion/pyportfoliooptinclusion.py new file mode 100644 index 00000000..153f1491 --- /dev/null +++ b/precise/inclusion/pyportfoliooptinclusion.py @@ -0,0 +1,5 @@ +try: + from pypfopt import EfficientFrontier + using_pyportfolioopt = True +except Exception: + using_pyportfolioopt = False \ No newline at end of file diff --git a/precise/inclusion/riskfoliolibinclusion.py b/precise/inclusion/riskfoliolibinclusion.py new file mode 100644 index 00000000..82b67ebd --- /dev/null +++ b/precise/inclusion/riskfoliolibinclusion.py @@ -0,0 +1,10 @@ +try: + import riskfolio + using_riskfolio = True +except Exception: + using_riskfolio = False + + + +if __name__=='__main__': + print(using_riskfolio) \ No newline at end of file diff --git a/precise/inclusion/riskparityportfolioinclusion.py b/precise/inclusion/riskparityportfolioinclusion.py new file mode 100644 index 00000000..e87b2cee --- /dev/null +++ b/precise/inclusion/riskparityportfolioinclusion.py @@ -0,0 +1,10 @@ +try: + import riskparityportfolio + using_riskparityportfolio = True +except Exception: + using_riskparityportfolio = False + + + +if __name__=='__main__': + print(using_riskparityportfolio) \ No newline at end of file diff --git a/precise/inclusion/runthisinclusion.py b/precise/inclusion/runthisinclusion.py new file mode 100644 index 00000000..55c45101 --- /dev/null +++ b/precise/inclusion/runthisinclusion.py @@ -0,0 +1,5 @@ +try: + import runthis + using_runthis=True +except: + using_runthis=False \ No newline at end of file diff --git a/precise/skaters/__init__.py b/precise/skaters/__init__.py new file mode 100644 index 00000000..e69de29b diff --git a/precise/skaters/covariance/README.md b/precise/skaters/covariance/README.md new file mode 100644 index 00000000..c11f81b9 --- /dev/null +++ b/precise/skaters/covariance/README.md @@ -0,0 +1,2 @@ +Covariance skaters + diff --git a/precise/skaters/covariance/__init__.py b/precise/skaters/covariance/__init__.py new file mode 100644 index 00000000..e69de29b diff --git a/precise/skaters/covariance/allcovskaters.py b/precise/skaters/covariance/allcovskaters.py new file mode 100644 index 00000000..91716bf7 --- /dev/null +++ b/precise/skaters/covariance/allcovskaters.py @@ -0,0 +1,79 @@ +from precise.skaters.covariance.runemp import RUN_EMP_DO_COV_SKATERS, RUN_EMP_D1_COV_SKATERS +from precise.skaters.covariance.bufemp import BUF_EMP_D0_SKATERS, BUF_EMP_D1_SKATERS +from precise.skaters.covariance.bufsk import BUF_SK_D0_SKATERS, BUF_SK_D1_SKATERS +from precise.skaters.covariance.ewaemp import EMA_DO_COV_SKATERS, EXP_EMP_D1_COV_SKATERS +from precise.skaters.covariance.bufhuber import BUF_HUBER_D0_COV_SKATERS, BUF_HUBER_D1_COV_SKATERS +from precise.skaters.covariance.ewapm import EWA_PM_EMP_D0_COV_SKATERS +from precise.skaters.covariance.ewalw import EWA_LW_D0_COV_SKATERS, EWA_LW_D1_COV_SKATERS +from precise.skaters.covariance.ewalz import EWA_LZ_D0_COV_SKATERS +from precise.skaters.covariance.weakewa import WEAK_EWA_DO_COV_SKATERS +from precise.skaters.covariance.weakpm import WEAK_PM_DO_COV_SKATERS +from precise.skaters.covariance.weaklz import WEAK_LZ_DO_COV_SKATERS +from precise.skaters.covariance.weaksk import WEAK_SK_DO_COV_SKATERS +from precise.skaters.covariance.avgtop import AVG_TOP_COV_D0_SKATERS +from precise.skaters.covariance.weakboot import WEAK_BOOT_D0_COV_SKATERS + +import random +from precise.whereami import COV_SKATER_MANIFEST +from tomark import Tomark + +# List of fully autonomous multivariate gaussian forecasters +# Run this file to print a list of skaters and their code URLs + +ALL_D0_SKATERS = BUF_EMP_D0_SKATERS + \ + RUN_EMP_DO_COV_SKATERS + \ + BUF_SK_D0_SKATERS + \ + EMA_DO_COV_SKATERS + \ + BUF_HUBER_D0_COV_SKATERS + \ + EWA_PM_EMP_D0_COV_SKATERS + \ + EWA_LW_D0_COV_SKATERS+\ + EWA_LZ_D0_COV_SKATERS+\ + WEAK_EWA_DO_COV_SKATERS+\ + WEAK_PM_DO_COV_SKATERS+\ + WEAK_LZ_DO_COV_SKATERS+\ + WEAK_SK_DO_COV_SKATERS+\ + AVG_TOP_COV_D0_SKATERS+\ + WEAK_BOOT_D0_COV_SKATERS + + +ALL_D1_SKATERS = BUF_EMP_D1_SKATERS + \ + RUN_EMP_D1_COV_SKATERS + \ + BUF_SK_D1_SKATERS + \ + EXP_EMP_D1_COV_SKATERS + \ + BUF_HUBER_D1_COV_SKATERS + \ + EWA_LW_D1_COV_SKATERS + +ALL_COV_SKATERS = ALL_D0_SKATERS + ALL_D1_SKATERS + + +def cov_skater_from_name(name): + valid = [f for f in ALL_COV_SKATERS if f.__name__ == name] + return valid[0] if len(valid)==1 else None + + +def cov_skater_manifest(): + from precise.whereami import url_from_skater_name + return dict([(f.__name__, url_from_skater_name(f.__name__)) for f in ALL_COV_SKATERS]) + + +def random_cov_skater(): + return random.choice(ALL_D0_SKATERS) + + +def cov_skater_manifest_markdown(): + manifest = cov_skater_manifest() + data = [ {'covariancecomparisonutil skater':mgr,'location':url} for mgr, url in manifest.items() ] + markdown = Tomark.table(data) + return markdown + + +def write_cov_skater_manifest(): + markdown = cov_skater_manifest_markdown() + with open(COV_SKATER_MANIFEST,'wt') as fh: + fh.write(markdown) + + +if __name__=='__main__': + from pprint import pprint + pprint(cov_skater_manifest()) + write_cov_skater_manifest() \ No newline at end of file diff --git a/precise/skaters/covariance/avgfactory.py b/precise/skaters/covariance/avgfactory.py new file mode 100644 index 00000000..146aeab7 --- /dev/null +++ b/precise/skaters/covariance/avgfactory.py @@ -0,0 +1,27 @@ + +import numpy as np +from precise.skaters.location.empirical import emp_d0 + + +def avg_factory(y, fs, s:dict, k=1, e=1, draw_probability=1.0, **f_kwargs): + """ Average the predictions of several cov skaters + + fs list of cov skaters + p Probability of using any given data point for any given skater + + """ + if not s: + s = {'s_fs':[{} for f in fs]} + + avg_mean_s = {} + ravel_cov_s = {} + count = 0 + for f_ndx,f in enumerate(fs): + if (np.random.rand()dict: + # Equivalent to np.nanstd(xs[max(0, k - n_buffer + 1):k + 1], axis=0) + return _buf1(func=data_population_correlation, func_name='corrcoef', s=s, x=x, n_buffer=n_buffer) + + +def buf_std(s:dict=None, x:X_TYPE=None, n_buffer:int=100)->dict: + # Equivalent to np.nanstd(xs[max(0, k - n_buffer + 1):k + 1], axis=0) + return _buf1(func=np.nanstd, func_name='mean', s=s, x=x, n_buffer=n_buffer, axis=0) + + +def buf_mean(s:dict=None, x:X_TYPE=None, n_buffer:int=100)->dict: + # Equivalent to np.nanmean(xs[max(0, k - n_buffer + 1):k + 1], axis=0) + return _buf1(func=np.nanmean, func_name='mean', s=s, x=x, n_buffer=n_buffer, axis=0) + + +def buf_median(s:dict=None, x:X_TYPE=None, n_buffer:int=100)->dict: + # Equivalent to np.nanmedian(xs[max(0, k - n_buffer + 1):k + 1], axis=0) + return _buf1(func=np.nanmedian, func_name='median', s=s, x=x, n_buffer=n_buffer, axis=0) + + +def _buf1(func, func_name, s:dict=None, x:X_TYPE=None, n_buffer:int=100, e=1, **func_kwarg)->dict: + return _buf(funcs=[func], func_names=[func_name], func_kwargs=[func_kwarg], s=s, x=x, n_buffer=n_buffer,e=e) + + +def buf_mean_and_median(s:dict=None, x:X_TYPE=None, n_buffer:int=100, e=1)->dict: + return _buf(funcs=[np.nanmean, np.nanmedian], func_names=['mean','median'], func_kwargs=[{'axis':0},{'axis':0}], s=s, x=x, n_buffer=n_buffer, e=e) + + +def buf_mean_and_pcov(s:dict=None, x:X_TYPE=None, n_buffer:int=100, e=1)->dict: + # Equivalent to np.cov(xs[max(0, k - n_buffer + 1):k + 1], axis=0) + return _buf(funcs=[np.nanmean, data_population_covariance], func_names=['mean', 'pcov'], func_kwargs=[{'axis':0}, {}], s=s, x=x, e=e, n_buffer=n_buffer) + + +def _buf(funcs, func_names:[str], func_kwargs:[dict], s:dict=None, x:X_TYPE=None, n_buffer:int=100, e=1)->dict: + """ + :param funcs: [func(xs, axis=0) -> 1d array] + :param func_names: + :param s: + :param x: + :param n_buffer: + :param e: If e>1 calculation is performed + :return: + """ + if not s: + s = _buf_init(s=s, n_buffer=n_buffer) + if is_data(x): + s = _buf_update(funcs=funcs, func_names=func_names, func_kwargs=func_kwargs, s=s, x=x, n_buffer=n_buffer, e=e) + return s + + +def _buf_init(s:dict=None, n_buffer:int=None)->dict: + if not s: + s = dict() + s.update( {'buffer':list(), 'n_buffer':n_buffer} ) + return s + + +def _buf_update(funcs, func_names, func_kwargs, s:dict, x:X_DATA_TYPE, n_buffer:int=None, e=1)->dict: + if n_buffer is None: + n_buffer = s['n_buffer'] + if len(s['buffer']): + assert len(s['buffer'][0])==len(x), 'dimension mismatch' + s['buffer'].append(np.atleast_1d(x)) + if len(s['buffer'])>n_buffer: + _ = s['buffer'].pop(0) + for func, func_name, func_kwargs in zip(funcs, func_names, func_kwargs): + if e>0: + s[func_name] = func(s['buffer'],**func_kwargs) + return s + + + + +if __name__=='__main__': + import random + xs = np.random.randn(500,100) + xs[17,1] = np.nan + s = {} + n_buffer = random.choice([1,5,100]) + for k,x in enumerate(xs): + s = buf_mean_and_median(s=s, x=x, n_buffer=n_buffer) + np_median = np.nanmedian(xs[max(0,k-n_buffer+1):k+1], axis=0) + s_median = s['median'] + if not np.allclose( np_median, s_median, atol=1e-8 ): + print('urgh') + assert False diff --git a/precise/skaters/covariance/bufhuber.py b/precise/skaters/covariance/bufhuber.py new file mode 100644 index 00000000..51c56736 --- /dev/null +++ b/precise/skaters/covariance/bufhuber.py @@ -0,0 +1,63 @@ +from precise.skaters.covariance.bufhuberfactory import buf_huber_d0_factory +from precise.skaters.covarianceutil.differencing import d1_factory + + +def buf_huber_pcov_d0_a1_b2_n50(y, s, k=1,e=1): + assert k==1 + return buf_huber_d0_factory(y=y,s=s,a=1.0, b=2.0, n_buffer=50, e=e) + + +def buf_huber_pcov_d0_a05_b2_n50(y, s, k=1, e=1): + assert k==1 + return buf_huber_d0_factory(y=y,s=s,a=0.5, b=2.0, n_buffer=50, e=e) + + +def buf_huber_pcov_d0_a1_b5_n50(y, s, k=1, e=1): + assert k==1 + return buf_huber_d0_factory(y=y,s=s,a=0.5, b=5.0, n_buffer=50, e=e) + + +def buf_huber_pcov_d0_a1_b2_n100(y, s, k=1, e=1): + assert k==1 + return buf_huber_d0_factory(y=y,s=s,a=1.0, b=2.0, n_buffer=100, e=e) + + +def buf_huber_pcov_d0_a05_b2_n100(y, s, k=1, e=1): + assert k==1 + return buf_huber_d0_factory(y=y,s=s,a=0.5, b=2.0, n_buffer=100, e=e) + + +def buf_huber_pcov_d0_a1_b5_n100(y, s, k=1, e=1): + assert k==1 + return buf_huber_d0_factory(y=y,s=s,a=0.5, b=5.0, n_buffer=100, e=e) + + +def buf_huber_pcov_d0_a1_b2_n200(y, s, k=1, e=1): + assert k==1 + return buf_huber_d0_factory(y=y,s=s,a=1.0, b=2.0, n_buffer=200, e=e) + + +def buf_huber_pcov_d0_a05_b2_n200(y, s, k=1, e=1): + assert k==1 + return buf_huber_d0_factory(y=y,s=s,a=0.5, b=2.0, n_buffer=200, e=e) + + +def buf_huber_pcov_d0_a1_b5_n200(y, s, k=1, e=1): + assert k==1 + return buf_huber_d0_factory(y=y,s=s,a=0.5, b=5.0, n_buffer=200, e=e) + + +BUF_HUBER_D0_COV_SKATERS = [buf_huber_pcov_d0_a1_b2_n50, buf_huber_pcov_d0_a05_b2_n50, buf_huber_pcov_d0_a1_b5_n50, + buf_huber_pcov_d0_a1_b2_n100, buf_huber_pcov_d0_a05_b2_n100, buf_huber_pcov_d0_a1_b5_n100, + buf_huber_pcov_d0_a1_b2_n200, buf_huber_pcov_d0_a05_b2_n200, buf_huber_pcov_d0_a1_b5_n200] + + +def buf_huber_pcov_d1_a1_b2_n50(y, s, k=1, e=1): + return d1_factory(f=buf_huber_pcov_d0_a1_b2_n50,y=y,s=s,k=k, e=e) + + +def buf_huber_pcov_d1_a1_b2_n100(y, s, k=1, e=1): + return d1_factory(f=buf_huber_pcov_d0_a1_b2_n100, y=y,s=s,k=k, e=e) + + +BUF_HUBER_D1_COV_SKATERS = [buf_huber_pcov_d1_a1_b2_n50, buf_huber_pcov_d1_a1_b2_n100] diff --git a/precise/skaters/covariance/bufhuberfactory.py b/precise/skaters/covariance/bufhuberfactory.py new file mode 100644 index 00000000..cbdcafbc --- /dev/null +++ b/precise/skaters/covariance/bufhuberfactory.py @@ -0,0 +1,25 @@ +import numpy as np +from precise.skaters.covarianceutil.hubercov import scatter_huber_cov +from precise.skaters.covariance.buffactory import _buf +from precise.skaters.covarianceutil.conventions import X_TYPE + + +def buf_huber_d0_factory(s,y,n_buffer, a,b,n_iter=20, atol=1e-8, e=1): + s = buf_mean_and_huber_pcov(s=s,x=y, a=a,b=b, n_iter=n_iter, atol=atol, n_buffer=n_buffer, e=e) + try: + x = s['mean'] + x_cov = s['pcov'] + except KeyError: + x = np.array(y) + x_cov = np.eye(len(y)) + + return x, x_cov, s + + +def buf_mean_and_huber_pcov(s:dict=None, x:X_TYPE=None, n_buffer:int=100,a=1.0, b=2.0,n_iter=20, atol=1e-8, e=1)->dict: + # Similar to np.cov(xs[max(0, k - n_buffer + 1):k + 1], axis=0) but uses Huber location for cov estimate + + def hcov(xs_): + return scatter_huber_cov(xs=xs_, a=a,b=b, n_iter=n_iter, atol=atol, demean=True) + + return _buf(funcs=[np.nanmean, hcov], func_names=['mean', 'pcov'], func_kwargs=[{'axis':0}, {}], s=s, x=x, n_buffer=n_buffer, e=e) diff --git a/precise/skaters/covariance/bufsk.py b/precise/skaters/covariance/bufsk.py new file mode 100644 index 00000000..839ff600 --- /dev/null +++ b/precise/skaters/covariance/bufsk.py @@ -0,0 +1,220 @@ +from precise.skaters.covarianceutil.conventions import X_TYPE +from precise.skaters.covariance.bufskfactory import buf_sk_factory +from precise.skaters.covarianceutil.differencing import d1_factory +from sklearn.covariance import GraphicalLasso, GraphicalLassoCV, LedoitWolf, MinCovDet, OAS, EmpiricalCovariance + + +# A collection of "online" covariance skaters that just call down to batch-style +# sklearn covariance estimators (so not terribly efficient) evaluated on a buffer. + + +def buf_sk_emp_pcov_d0_n100(y: X_TYPE = None, s: dict = None, k=1, e=1): + """ Sklearn empirical covariancecomparisonutil based estimator for IID observations """ + assert k == 1 + return buf_sk_factory(cls=EmpiricalCovariance, y=y, s=s, n_buffer=100, n_emp=2, e=e) + + +def buf_sk_emp_pcov_d0_n200(y: X_TYPE = None, s: dict = None, k=1, e=1): + """ Sklearn empirical covariancecomparisonutil based estimator for IID observations """ + assert k == 1 + return buf_sk_factory(cls=EmpiricalCovariance, y=y, s=s, n_buffer=200, n_emp=2, e=e) + + + +# Ledoit-Wolf + + +def buf_sk_lw_pcov_d0_n100(y: X_TYPE = None, s: dict = None, k=1, e=1): + """ Ledoit-Wolf covariancecomparisonutil based estimator for IID observations """ + assert k == 1 + return buf_sk_factory(cls=LedoitWolf, y=y, s=s, n_buffer=100, n_emp=5, e=e) + + +def buf_sk_lw_pcov_d0_n200(y: X_TYPE = None, s: dict = None, k=1, e=1): + """ Ledoit-Wolf covariancecomparisonutil based estimator for IID observations """ + assert k == 1 + return buf_sk_factory(cls=LedoitWolf, y=y, s=s, n_buffer=200, n_emp=5, e=e) + + +def buf_sk_lw_pcov_d0_n300(y: X_TYPE = None, s: dict = None, k=1, e=1): + """ Ledoit-Wolf covariancecomparisonutil based estimator for IID observations """ + assert k == 1 + return buf_sk_factory(cls=LedoitWolf, y=y, s=s, n_buffer=300, n_emp=5, e=e) + + +# Graphical Lasso variants + +def buf_sk_gl_pcov_d0_n100(y: X_TYPE = None, s: dict = None, k=1, e=1): + """ Graphical Lasso covariancecomparisonutil based estimator for IID observations """ + assert k == 1 + cls_kwargs = {'tol': 1e-4, 'max_iter': 200} + return buf_sk_factory(cls=GraphicalLasso, y=y, s=s, n_buffer=100, n_emp=50, cls_kwargs=cls_kwargs) + + +def buf_sk_gl_pcov_d0_n200(y: X_TYPE = None, s: dict = None, k=1, e=1): + """ Graphical Lasso covariancecomparisonutil based estimator for IID observations """ + assert k == 1 + cls_kwargs = {'tol': 1e-4, 'max_iter': 200} + return buf_sk_factory(cls=GraphicalLasso, y=y, s=s, n_buffer=200, n_emp=50, cls_kwargs=cls_kwargs, e=e) + + +# Graphical Lasso with Cross Validation + + +def buf_sk_glcv_pcov_d0_n100(y: X_TYPE = None, s: dict = None, k=1, e=1): + """ Graphical Lasso CV covariancecomparisonutil based estimator for IID observations """ + assert k == 1 + cls_kwargs = {'tol': 1e-4, 'max_iter': 200} + return buf_sk_factory(cls=GraphicalLassoCV, y=y, s=s, n_buffer=100, n_emp=30, cls_kwargs=cls_kwargs, e=e) + + +def buf_sk_glcv_pcov_d0_n100_t0(y: X_TYPE = None, s: dict = None, k=1, e=1): + """ Graphical Lasso CV covariancecomparisonutil based estimator for IID observations """ + assert k == 1 + cls_kwargs = {'tol': 1e-4, 'max_iter': 200, 'assume_centered':True} + return buf_sk_factory(cls=GraphicalLassoCV, y=y, s=s, n_buffer=100, n_emp=30, cls_kwargs=cls_kwargs, e=e) + + +def buf_sk_glcv_pcov_d0_n200(y: X_TYPE = None, s: dict = None, k=1, e=1): + """ Graphical Lasso CV covariancecomparisonutil based estimator for IID observations """ + assert k == 1 + cls_kwargs = {'tol': 1e-4, 'max_iter': 200} + return buf_sk_factory(cls=GraphicalLassoCV, y=y, s=s, n_buffer=200, n_emp=30, cls_kwargs=cls_kwargs, e=e) + + +def buf_sk_glcv_pcov_d0_n200_t0(y: X_TYPE = None, s: dict = None, k=1, e=1): + """ Graphical Lasso CV covariancecomparisonutil based estimator for IID observations """ + assert k == 1 + cls_kwargs = {'tol': 1e-4, 'max_iter': 200, 'assume_centered':True} + return buf_sk_factory(cls=GraphicalLassoCV, y=y, s=s, n_buffer=200, n_emp=30, cls_kwargs=cls_kwargs, e=e) + + +def buf_sk_glcv_pcov_d0_n300(y: X_TYPE = None, s: dict = None, k=1, e=1): + """ Graphical Lasso CV covariancecomparisonutil based estimator for IID observations """ + assert k == 1 + cls_kwargs = {'tol': 1e-4, 'max_iter': 200} + return buf_sk_factory(cls=GraphicalLassoCV, y=y, s=s, n_buffer=300, n_emp=30, cls_kwargs=cls_kwargs, e=e) + + +def buf_sk_glcv_pcov_lars_d0_n100(y: X_TYPE = None, s: dict = None, k=1, e=1): + """ Graphical Lasso CV LARS model covariancecomparisonutil based estimator for IID observations """ + assert k == 1 + cls_kwargs = {'tol': 1e-4, 'max_iter': 200, 'mode': 'lars'} + return buf_sk_factory(cls=GraphicalLassoCV, y=y, s=s, n_buffer=100, n_emp=30, cls_kwargs=cls_kwargs, e=e) + + +def buf_sk_glcv_pcov_lars_d0_n200(y: X_TYPE = None, s: dict = None, k=1, e=1): + """ Graphical Lasso CV LARS model covariancecomparisonutil based estimator for IID observations """ + assert k == 1 + cls_kwargs = {'tol': 1e-4, 'max_iter': 200, 'mode': 'lars'} + return buf_sk_factory(cls=GraphicalLassoCV, y=y, s=s, n_buffer=200, n_emp=30, cls_kwargs=cls_kwargs, e=e) + + +def buf_sk_glcv_pcov_lars_d0_n300(y: X_TYPE = None, s: dict = None, k=1, e=1): + """ Graphical Lasso CV LARS model covariancecomparisonutil based estimator for IID observations """ + assert k == 1 + cls_kwargs = {'tol': 1e-4, 'max_iter': 200, 'mode': 'lars'} + return buf_sk_factory(cls=GraphicalLassoCV, y=y, s=s, n_buffer=300, n_emp=30, cls_kwargs=cls_kwargs, e=e) + + +# Minimum Cov Det + + +def buf_sk_mcd_pcov_d0_n100(y: X_TYPE = None, s: dict = None, n_buffer: int = 100, k=1, e=1): + """ Minimumn covariancecomparisonutil based estimator for IID observations """ + assert k == 1 + # https://scikit-learn.org/stable/modules/generated/sklearn.covariance.MinCovDet.html#sklearn.covariance.MinCovDet + return buf_sk_factory(cls=MinCovDet, y=y, s=s, n_buffer=n_buffer, n_emp=10, e=e) + + +# Oracle approximation + +def buf_sk_oas_pcov_d0_n100(y: X_TYPE = None, s: dict = None, k=1, e=1): + """ OAS based estimator for IID observations """ + # https://arxiv.org/abs/0907.4698 + assert k == 1 + return buf_sk_factory(cls=OAS, y=y, s=s, n_buffer=100, n_emp=10, e=e) + + +def buf_sk_oas_pcov_d0_n200(y: X_TYPE = None, s: dict = None, k=1, e=1): + """ OAS based estimator for IID observations """ + # https://arxiv.org/abs/0907.4698 + assert k == 1 + return buf_sk_factory(cls=OAS, y=y, s=s, n_buffer=200, n_emp=10, e=e) + + +def buf_sk_oas_pcov_d0_n300(y: X_TYPE = None, s: dict = None, k=1, e=1): + """ OAS based estimator for IID observations """ + # https://arxiv.org/abs/0907.4698 + assert k == 1 + return buf_sk_factory(cls=OAS, y=y, s=s, n_buffer=300, n_emp=10, e=e) + + +# ----------------------------------------------------------------------------- +# Differenced versions to be applied to time-series with independent increments +# ----------------------------------------------------------------------------- + +def buf_sk_ec_pcov_d1_n100(y: X_TYPE = None, s: dict = None, k=1, e=1): + assert k == 1 + return d1_factory(f=buf_sk_emp_pcov_d0_n100, y=y, s=s, e=e) + + +def buf_sk_lw_pcov_d1_n100(y: X_TYPE = None, s: dict = None, k=1, e=1): + """ Ledoit-Wolf covariancecomparisonutil based estimator for IID changes """ + assert k == 1 + return d1_factory(f=buf_sk_lw_pcov_d0_n100, y=y, s=s, k=1, e=e) + + +def buf_sk_oas_pcov_d1_n100(y: X_TYPE = None, s: dict = None, k=1, e=1): + """ OAS based estimator for IID changes """ + assert k == 1 + return d1_factory(f=buf_sk_oas_pcov_d0_n100, y=y, s=s, k=1, e=e) + + +def buf_sk_oas_pcov_d1_n200(y: X_TYPE = None, s: dict = None, k=1, e=1): + """ OAS based estimator for IID changes """ + assert k == 1 + return d1_factory(f=buf_sk_oas_pcov_d0_n200, y=y, s=s, k=1, e=e) + + +def buf_sk_oas_pcov_d1_n300(y: X_TYPE = None, s: dict = None, k=1, e=1): + """ OAS based estimator for IID changes """ + assert k == 1 + return d1_factory(f=buf_sk_oas_pcov_d0_n300, y=y, s=s, k=1, e=e) + + +def buf_sk_gl_pcov_d1_n100(y: X_TYPE = None, s: dict = None, k=1, e=1): + """ GL based estimator for IID changes """ + assert k == 1 + return d1_factory(f=buf_sk_gl_pcov_d0_n100, y=y, s=s, e=e) + + +def buf_sk_glcv_pcov_d1_n100(y: X_TYPE = None, s: dict = None, k=1, e=1): + """ GL CV based estimator for IID changes """ + assert k == 1 + return d1_factory(f=buf_sk_glcv_pcov_d0_n100, y=y, s=s, k=1, e=e) + + +def buf_sk_mcd_pcov_d1_n100(y: X_TYPE = None, s: dict = None, k=1, e=1): + """ Minimumn covariancecomparisonutil based estimator for IID changes """ + assert k == 1 + # https://scikit-learn.org/stable/modules/generated/sklearn.covariance.MinCovDet.html#sklearn.covariance.MinCovDet + return d1_factory(f=buf_sk_mcd_pcov_d0_n100, y=y, s=s, k=1, e=e) + + +BUF_SK_D0_SKATERS = [buf_sk_emp_pcov_d0_n100, buf_sk_emp_pcov_d0_n100, + buf_sk_lw_pcov_d0_n100, buf_sk_lw_pcov_d0_n200, buf_sk_lw_pcov_d0_n300, + buf_sk_gl_pcov_d0_n100, buf_sk_gl_pcov_d0_n200, + buf_sk_glcv_pcov_d0_n100, buf_sk_glcv_pcov_d0_n200, buf_sk_glcv_pcov_d0_n300, + buf_sk_glcv_pcov_d0_n100_t0, buf_sk_glcv_pcov_d0_n200_t0, buf_sk_glcv_pcov_d0_n300, + buf_sk_glcv_pcov_lars_d0_n100, buf_sk_glcv_pcov_lars_d0_n200, buf_sk_glcv_pcov_lars_d0_n300, + buf_sk_mcd_pcov_d0_n100, + buf_sk_oas_pcov_d0_n100, buf_sk_oas_pcov_d0_n200, buf_sk_oas_pcov_d0_n300] + +BUF_SK_D1_SKATERS = [buf_sk_ec_pcov_d1_n100, buf_sk_lw_pcov_d1_n100, buf_sk_gl_pcov_d1_n100, buf_sk_glcv_pcov_d1_n100, + buf_sk_mcd_pcov_d1_n100, + buf_sk_oas_pcov_d1_n100] + +if __name__ == '__main__': + from precise.whereami import url_from_skater_name + print(url_from_skater_name(name='buf_sk_mcd_pcov_d1_n100')) diff --git a/precise/skaters/covariance/bufskfactory.py b/precise/skaters/covariance/bufskfactory.py new file mode 100644 index 00000000..d7b09fff --- /dev/null +++ b/precise/skaters/covariance/bufskfactory.py @@ -0,0 +1,45 @@ +import numpy as np +from precise.skaters.covarianceutil.conventions import X_TYPE, X_DATA_TYPE, is_data +from precise.skaters.covariance.buffactory import buf_pcov_factory +from precise.skaters.covarianceutil.datafunctions import data_population_covariance +import warnings + + +def buf_sk_factory(cls, y:X_TYPE=None, s:dict=None, n_buffer:int=100, n_emp=5, cls_kwargs:dict=None, fit_kwargs:dict=None, e=1): + """ + :param cls an sklearn covariancecomparisonutil estimating class + :param n_emp: If we don't yet have n_emp data points, will revert to empirical + """ + + if cls_kwargs is None: + cls_kwargs = {} + + if fit_kwargs is None: + fit_kwargs = {} + + def sk_apply_cov(cls, xs, cls_kwargs:dict, fit_kwargs:dict, n_emp:int): + + if len(xs) < n_emp: + try: + _pcov = data_population_covariance(xs) + except: + _pcov = np.eye(len(xs)) + try: + _location = np.nanmean(xs,axis=0) + except: + _location = np.zeros(len(xs)) + outputs = {'loc':_location,'pcov':_pcov} + else: + obj = cls(**cls_kwargs) + with warnings.catch_warnings(): + warnings.simplefilter("ignore") + obj.fit(np.array(xs),**fit_kwargs) + try: + outputs = {'loc': obj.location_, 'pcov': obj.covariance_} + except AttributeError: + print('obj lacks ._location or ._covariance') + raise + return outputs + + func = lambda xs: sk_apply_cov(cls=cls, xs=xs, fit_kwargs=fit_kwargs, n_emp=n_emp, cls_kwargs=cls_kwargs) + return buf_pcov_factory( func=func, y=y, s=s, n_buffer=n_buffer, e=e) \ No newline at end of file diff --git a/precise/skaters/covariance/ewaemp.py b/precise/skaters/covariance/ewaemp.py new file mode 100644 index 00000000..964cc7ba --- /dev/null +++ b/precise/skaters/covariance/ewaemp.py @@ -0,0 +1,45 @@ +from precise.skaters.covariance.ewaempfactory import ewa_emp_pcov_factory +from precise.skaters.covarianceutil.conventions import Y_DATA_TYPE +from precise.skaters.covarianceutil.differencing import d1_factory + + +def ewa_emp_pcov_d0_r01(y, s, k=1, e=1): + return ewa_emp_pcov_factory(y=y, s=s, k=k, r=0.01) + + +def ewa_emp_pcov_d0_r02(y, s, k=1, e=1): + return ewa_emp_pcov_factory(y=y, s=s, k=k, r=0.02) + + +def ewa_emp_pcov_d0_r05(y, s, k=1, e=1): + return ewa_emp_pcov_factory(y=y, s=s, k=k, r=0.05) + + +def ewa_emp_pcov_d0_r10(y, s, k=1, e=1): + return ewa_emp_pcov_factory(y=y, s=s, k=k, r=0.10) + + +EMA_DO_COV_SKATERS = [ewa_emp_pcov_d0_r01, ewa_emp_pcov_d0_r02, ewa_emp_pcov_d0_r05, ewa_emp_pcov_d0_r10] + + +def ewa_emp_pcov_d1_r01(y:Y_DATA_TYPE, s:dict, k=1, e=1): + """ + For when changes are iid gaussian + """ + return d1_factory(f = ewa_emp_pcov_d0_r01, y=y, s=s, k=k) + + +def ewa_emp_pcov_d1_r02(y:Y_DATA_TYPE, s:dict, k=1, e=1): + return d1_factory(f = ewa_emp_pcov_d0_r02, y=y, s=s, k=k) + + +def ewa_emp_pcov_d1_r05(y:Y_DATA_TYPE, s:dict, k=1, e=1): + return d1_factory(f = ewa_emp_pcov_d0_r05, y=y, s=s, k=k) + + +def ewa_emp_pcov_d1_r10(y:Y_DATA_TYPE, s:dict, k=1, e=1): + return d1_factory(f = ewa_emp_pcov_d0_r10, y=y, s=s, k=k) + + +EXP_EMP_D1_COV_SKATERS = [ewa_emp_pcov_d1_r01, ewa_emp_pcov_d1_r02, ewa_emp_pcov_d1_r05, ewa_emp_pcov_d1_r10] + diff --git a/precise/skaters/covariance/ewaempfactory.py b/precise/skaters/covariance/ewaempfactory.py new file mode 100644 index 00000000..77231f40 --- /dev/null +++ b/precise/skaters/covariance/ewaempfactory.py @@ -0,0 +1,91 @@ +import numpy as np +from precise.skaters.covariance.runempfactory import _emp_pcov_init, _emp_pcov_update +import math +from typing import Union, List + +# Exponential weighted sample covariance + + +def ewa_emp_pcov_factory(y, s:dict, k=1, r=0.025, n_emp=None, e=1): + assert k==1 + s = ema_scov(s=s, y=y, r=r, n_emp=n_emp) + x = s['mean'] + x_cov = s['pcov'] + return x, x_cov, s + + +def ema_scov(s:dict, y:Union[List[float], int]=None, r:float=0.025, n_emp=None): + """ Maintain running population covariance """ + if s.get('n_samples') is None: + if isinstance(y, int): + return _ema_scov_init(n_dim=y, r=r, n_emp=n_emp) + elif isinstance(y, (List, np.ndarray)): + s = _ema_scov_init(n_dim=len(y), r=r, n_emp=n_emp) + else: + raise ValueError('Not sure how to initialize EWA COV tracker. Supply y=5 say, for 5 dim') + if y is not None: + s = _ema_scov_update(s=s, x=y, r=r) + return s + + +def _ema_scov_init(n_dim=None, r:float=0.025, n_emp=None ): + """ Initialize object to track exp moving avg cov for zero mean + + r: Importance of current data point + n_emp: Discouraged. Really only used for tests. + This is the number of samples for which empirical is used, rather + than running updates. By default n_emp ~ 1/r + + """ + if n_emp is None: + n_emp = int(min(250, max(5, math.ceil(1 / r)))) + s = _emp_pcov_init(n_dim=n_dim) + s.update({'rho':r, 'n_emp':n_emp}) + return s + + +def _ema_scov_update(s:dict, x:[float], r:float=None, target=None, y=None): + """ Update recency weighted estimate of scov for zero mean + + If target is not None, it will be used in place of the mean when updating + Obviously, this changes the interpretation of 'scov' + + xt - transpose of y + + """ + x = np.array(x) + if s['n_samples']< s['n_emp']: + # Use the regular cov update for a burn-in period + # During this time both scov and pcov are maintained + s = _emp_pcov_update(s=s, x=x, target=target) + if s['n_samples']>1: + s['scov'] = s['pcov'] * s['n_samples'] / (s['n_samples'] - 1) + else: + s['n_samples']+=1 + r = s['rho'] if r is None else r + assert s['n_dim'] == len(x) + xcol = np.ndarray(shape=(s['n_dim'], 1)) + if target is not None: + xcol[:,0] = x - target + else: + xcol[:,0] = x - s['mean'] + if y is None: + ycolT = xcol.T + else: + ycol = np.ndarray(shape=(s['n_dim'], 1)) + if target is not None: + ycol[:, 0] = y - target + else: + ycol[:, 0] = y - s['mean'] + ycolT = ycol.T + + yyt = np.dot(xcol, ycolT) + s['scov'] = (1 - r) * s['scov'] + r * yyt + s['mean'] = (1 - r) * s['mean'] + r * np.array(x) + s['pcov']= s['scov']*(s['n_samples']-1)/s['n_samples'] + return s + + + + + diff --git a/precise/skaters/covariance/ewalw.py b/precise/skaters/covariance/ewalw.py new file mode 100644 index 00000000..9c889d42 --- /dev/null +++ b/precise/skaters/covariance/ewalw.py @@ -0,0 +1,41 @@ +from precise.skaters.covariance.ewalwfactory import ewa_lw_scov_factory +from precise.skaters.covarianceutil.differencing import d1_factory + +# EWALD short for "Exp Weight Avg" Ledoit-Wolf + +# Experimental estimator inspired by Ledoit-Wolf +# Keeps a buffer of last n_buffer observations +# Tracks quantities akin to a^2, d^2 used by LW to +# estimate a "reasonable" linear shrinkage + + +def ewa_lw_scov_d0_r01(y, s, k=1, e=1): + assert k==1 + return ewa_lw_scov_factory(y=y, s=s, r=0.01, e=e) + + +def ewa_lw_scov_d0_r02(y, s, k=1, e=1): + assert k==1 + return ewa_lw_scov_factory(y=y, s=s, r=0.02) + + +def ewa_lw_scov_d0_r05(y, s, k=1, e=1): + assert k==1 + return ewa_lw_scov_factory(y=y, s=s, r=0.05) + + + +EWA_LW_D0_COV_SKATERS = [ewa_lw_scov_d0_r01, ewa_lw_scov_d0_r02 ] + + +def ewa_lw_scov_d1_r01(y, s, k=1, e=1): + assert k == 1 + return d1_factory( f=ewa_lw_scov_factory, y=y, s=s, r=0.01) + + +def ewa_lw_scov_d1_r02(y, s, k=1, e=1): + assert k == 1 + return d1_factory( f=ewa_lw_scov_factory, y=y, s=s, r=0.02) + + +EWA_LW_D1_COV_SKATERS = [ewa_lw_scov_d1_r01, ewa_lw_scov_d1_r02 ] \ No newline at end of file diff --git a/precise/skaters/covariance/ewalwfactory.py b/precise/skaters/covariance/ewalwfactory.py new file mode 100644 index 00000000..4900d0b8 --- /dev/null +++ b/precise/skaters/covariance/ewalwfactory.py @@ -0,0 +1,109 @@ +from precise.skaters.covariance.ewaempfactory import ema_scov +from precise.skaters.covarianceutil.covfunctions import grand_mean, grand_shrink +from sklearn.covariance._shrunk_covariance import ledoit_wolf_shrinkage +import numpy as np + + +# EWALD short for "Exp Weight Avg" Ledoit-Wolf +# --------------------------------------------- +# Experimental online estimator inspired by Ledoit-Wolf +# Keeps a buffer of last n_buffer observations +# Tracks quantities somewhat akin to a^2, d^2 used by LW to +# estimate a "reasonable" linear shrinkage + + +def ewa_lw_scov_factory(s, y, r, k=1, e=1): + s = lw_ema_scov(s=s,x=y,r=r) + x = np.copy(s['ema_scov']['mean']) + x_cov = np.copy(s['scov']) + return x, x_cov, s + + +def lw_ema_scov(s:dict, x=None, r=0.025)->dict: + if s.get('ema_scov') is None: + if isinstance(x,int): + return _lw_ema_scov_init(n_dim=x, r=r) + else: + s = _lw_ema_scov_init(n_dim=len(x), r=r) + if x is not None: + s = _lw_ema_scov_update(s=s, x=x, r=r) + return s + + +def _lw_ema_scov_init(n_dim, r): + sc = ema_scov({}, n_dim, r=r) + return {'ema_scov':sc, + 'bn_bar':None, + 'a2':0, + 'mn':0, + 'n_new':0, + 'buffer':[]} + + +def _lw_ema_scov_update(s, x, r): + """ + Attempts to track quantities similar to those used to estimate LD shrinkage + """ + # Uses buffered LD up to 2*n_emp observations, then switches to an updating scheme + x = np.asarray(x) + s['ema_scov'] = ema_scov(s=s['ema_scov'], y=x, r=r) + s['buffer'].append(x) + if len(s['buffer'])>s['ema_scov']['n_emp']: + # Update running estimate of the LD shrinkage parameter + s['n_new'] = s['n_new']+1 + xl = s['buffer'].pop(0) + xc = np.atleast_2d(xl-s['ema_scov']['mean']) # <--- Do we need this? + scov = s['ema_scov']['scov'] + + # Compute d^2 + mn = grand_mean(scov) + s['mn'] = mn + n_dim = np.shape(scov)[0] + s['dn'] = np.linalg.norm((scov - mn * np.eye(n_dim))**2) + + # Update b^2 + xc2 = xc**2 + xl2 = np.dot(xc2.T,xc2) - scov + if s.get('bn_bar') is None: + s['bn_bar'] = s['lmbd']*s['dn'] + s['lmbd_lw'] = 1.0 * s['lmbd'] + r_shrink = r/2 # <--- Heuristic + bk = np.linalg.norm( xl2 ) + s['bn_bar'] = (1-r_shrink)*s['bn_bar'] + r_shrink*bk # b^2 + ratio = bk/s['dn'] + + # Imply new shrinkage + bn = min( s['bn_bar'], s['dn'] ) + lmbd = bn/s['dn'] + s['lmbd'] = lmbd + + # If still warming up, override lmbd with traditional Ledoit-Shrinkage + if 2 < s['ema_scov']['n_samples'] < 2*s['ema_scov']['n_emp']: + X = np.asarray(s['buffer']) + s['lmbd'] = ledoit_wolf_shrinkage(X=X) + + # Create shrunk version of moving avg sample covariancecomparisonutil + if s['ema_scov']['n_samples']>2: + scov = s['ema_scov']['scov'] + s['scov'] = grand_shrink(a=scov, lmbd=s['lmbd'], copy=True) + else: + s['scov'] = np.eye(len(x)) + + return s + + + + + + + + + + + + + + + + + diff --git a/precise/skaters/covariance/ewalz.py b/precise/skaters/covariance/ewalz.py new file mode 100644 index 00000000..e7e2e43e --- /dev/null +++ b/precise/skaters/covariance/ewalz.py @@ -0,0 +1,25 @@ +from precise.skaters.covariance.ewalzfactory import ewa_emp_lz_pcov_factory_rg_rl_n + +# EWALZ short for "Exp Weight Avg Lee-Zhong" + + +def ewa_lz_scov_d0_r010_l010_n100(y, s, k=1, e=1): + assert k==1 + return ewa_emp_lz_pcov_factory_rg_rl_n(y=y, s=s, rg=0.01, rl=0.01, n=100, e=e) + + +def ewa_lz_scov_d0_r005_l010_n100(y, s, k=1, e=1): + assert k==1 + return ewa_emp_lz_pcov_factory_rg_rl_n(y=y, s=s, rg=0.005, rl=0.01, n=10, e=e) + + +def ewa_lz_scov_d0_r005_l020_n50(y, s, k=1, e=1): + assert k==1 + return ewa_emp_lz_pcov_factory_rg_rl_n(y=y, s=s, rg=0.005, rl=0.02, n=50, e=e) + + + +EWA_LZ_D0_COV_SKATERS = [ewa_lz_scov_d0_r010_l010_n100, + ewa_lz_scov_d0_r005_l010_n100, + ewa_lz_scov_d0_r005_l020_n50] + diff --git a/precise/skaters/covariance/ewalzfactory.py b/precise/skaters/covariance/ewalzfactory.py new file mode 100644 index 00000000..0d7bd41d --- /dev/null +++ b/precise/skaters/covariance/ewalzfactory.py @@ -0,0 +1,214 @@ +import numpy as np +from precise.skaters.covarianceutil.adjacency import centroid_precision_adjacency +from precise.skaters.covarianceutil.covfunctions import affine_inversion +from precise.skaters.covariance.ewaemp import ewa_emp_pcov_factory + +# A factory for approaches that utilize episodically estimated sparsity in precision matrix. +# Yielding a family of autonomous algorithms inspired by a paper by Lee and Zhong + +# Algorithm steps and defaults +# ---------------------------- +# 1. A global cov matrix is maintained (ewa_pcov) +# 2. A buffer of past observations is maintained +# 3. Each epoch an adjacency matrix for precision is estimated from the global cov (centroid method) +# 4. Local pre models are re-booted, assuming the new structure (ewa_pcov) +# 5. At any time a global pre matrix can be computed from local pre matrices (affine inversion) +# 6. At any time a global cov matrix can be computed by inverting global pre (affine inversion) + +# Here are the defaults: + +# Step 1 +default_f_global = ewa_emp_pcov_factory +DEFAULT_F_GLOBAL_KWARGS = {'r':0.01} + +# Step 2 +DEFAULT_N_EPOCH = 100 + +# Step 3 +def default_adjacency_func(cov, phi=1.01, lmbd=0.01): + """ Default way to specify sparsity in precision matrix + :param cov: (n_dim, n_dim) + :return: (n_dim, n_dim) bool + """ + pre = affine_inversion(a=cov, phi=phi, lmbd=lmbd) + return centroid_precision_adjacency(pre=pre) +DEFAULT_ADJ_FUNC_KWARGS = {'phi':1.01,'lmbd':0.01} + + +# Step 4 +default_f_local = ewa_emp_pcov_factory +DEFAULT_F_LOCAL_KWARGS = {'r':0.01} + +# Step 5 +def default_local_pre_func(cov, phi, lmbd): + """ Default way to invert local cov matrices + """ + return affine_inversion(a=cov, phi=phi, lmbd=lmbd) +DEFAULT_LOCAL_PRE_FUNC_KWARGS = {'phi':1.1,'lmbd':0.1} + +# Step 6 +default_global_cov_func = default_local_pre_func +DEFAULT_GLOBAL_COV_FUNC_KWARGS = {'phi':1.01,'lmbd':0.1} + + +def ewa_emp_lz_pcov_factory_rg_rl_n(y, s, rg, rl, n, e): + """ + :param y: + :param s: + :param n_epoch: Length of epoch + :param rg: + :param rl: + :param e: + :return: + """ + f_global_kwargs = {'r':rg} + f_local_kwargs = {'r':rl} + return lz_factory(y=y,s=s,n_epoch=n, + f_local = ewa_emp_pcov_factory, + f_global = ewa_emp_pcov_factory, + f_global_kwargs=f_global_kwargs, + f_local_kwargs=f_local_kwargs, + e=e) + + +def lz_factory(y, s:dict, n_epoch=DEFAULT_N_EPOCH, + f_global=None, f_global_kwargs=None, + f_local=None, f_local_kwargs=None, + e=1, + adj_func=None, adj_func_kwargs:dict=None, + local_pre_func=None, local_pre_func_kwargs:dict=None, + global_cov_func=None, global_cov_func_kwargs:dict=None): + """ + + Le and Zhong factory + + :param y: Vector of observations + :param s: State + :param n_epoch: Length of epoch during which adjacency matrix is held constant + :param f_global: Skater maintaining a global estimate of covariancecomparisonutil + :param f_local: Skater used to maintain n_dim local estimates, one for each variable + :param e: Set <0 to skip global cov, pre calculations + :param adj_func: Takes pre matrix and returns binary of same shape (where non-zeros should go) + :param local_pre_func: Function to take local cov matrices and produce precision matrices + :param global_cov_func: Function to take global precision matrix and produce global cov matrix + :return: y, x_cov, s + """ + + # Mildly tedious stuff... + if adj_func is None: + adj_func = default_adjacency_func + if local_pre_func is None: + local_pre_func = default_local_pre_func + if global_cov_func is None: + global_cov_func = default_global_cov_func + if adj_func_kwargs is None: + adj_func_kwargs = DEFAULT_ADJ_FUNC_KWARGS + if local_pre_func_kwargs is None: + local_pre_func_kwargs = DEFAULT_LOCAL_PRE_FUNC_KWARGS + if global_cov_func_kwargs is None: + global_cov_func_kwargs = DEFAULT_GLOBAL_COV_FUNC_KWARGS + + if f_global_kwargs is None: + f_global_kwargs = {} + if f_local_kwargs is None: + f_local_kwargs = {} + + # Initialization of global state s['g'] and local states s['l']['states'] + n_dim = len(y) + if not s: + s = {'g':{}, # Global state + 'l':{'states':[{} for _ in range(n_dim)]}, # Local states + 'buffer':[], # Observation buffer + 'count':0, + 'warm':0, # Local models are primed + 'stale':0} # Global pre/cov is stale + + # Maintain a global covariancecomparisonutil model + s['count'] += 1 + x_gl, gl_cov, s['g'] = f_global(s=s['g'], y=y, **f_global_kwargs) + if s['count'] % n_epoch == 0: + # Trigger adjacency matrix discovery from the global model + s['l']['adj'] = adj_func(gl_cov, **adj_func_kwargs) + + # Prepare the "B" matrices in the paper + s['l']['n_dims'] = [int(s) for s in np.sum(s['l']['adj'], axis=0)] + s['l']['bs'] = dict() + for i, nd in enumerate(s['l']['n_dims']): + b_ = np.zeros(shape=(n_dim, nd)) + ndxs = s['l']['adj'][:, i] + b_[ndxs, :] = np.eye(nd) + s['l']['bs'][i] = b_ + + # Reset local states ... + s['l']['states'] = [{} for _ in range(n_dim)] + # ... but replay data from the buffer through local states once + for i in range(n_dim): + ls = {} + indx = s['l']['adj'][:, i] + for yt in s['buffer']: + yti = yt[indx] + xl, xl_cov, ls = f_local(s=ls,y=yti, **f_local_kwargs ) + s['l']['states'][i] = ls + + # Blow away the buffer and declare it ready + s['buffer'] = [] + s['warm'] = 1 + + # Add current data vector to buffer + s['buffer'].append(y) + if len(s['buffer'])>n_epoch: + s['buffer'].pop(0) + + # If local models are initialized, process one data point + if s['warm']: + # Update local states and most recent cov estimates + s['l']['covs'] = [ None for _ in range(n_dim) ] + for i in range(n_dim): + indx = s['l']['adj'][:, i] + yi = y[indx] + sl = s['l']['states'][i] + _, s['l']['covs'][i], sl = f_local(s=sl, y=yi, **f_local_kwargs) + s['l']['states'][i] = sl + + + + # If allowed time, compute precision and covariancecomparisonutil + # - User can set e<0 to skip this step) + # - User can supply a "fake" global_cov_func to avoid that overhead, if they want + if s['warm']: + if (e>=0): + # Reconstruct precision - see paper for explanation + omega = np.eye(n_dim) + for i,covi in enumerate(s['l']['covs']): + prei = local_pre_func(covi, **local_pre_func_kwargs) + ei = np.zeros(shape=(n_dim,1)) + ei[i] = 1.0 + bi = s['l']['bs'][i] + fi = np.matmul(bi.T,ei) + Sfi = np.matmul(prei,fi) + wi = np.matmul(bi,Sfi) + omega[:,i] = wi[:,0] + s['pre'] = omega + s['cov'] = global_cov_func(omega,**global_cov_func_kwargs) + s['stale']=0 + else: + s['stale']=1 + + # Return cov is fresh, else fall back to global model + if (not s['warm']) or s['stale']: + return x_gl, gl_cov, s + else: + return x_gl, s['cov'], s + + + + + + + + + + + + + diff --git a/precise/skaters/covariance/ewapm.py b/precise/skaters/covariance/ewapm.py new file mode 100644 index 00000000..906c4d1e --- /dev/null +++ b/precise/skaters/covariance/ewapm.py @@ -0,0 +1,96 @@ +from precise.skaters.covariance.ewapmfactory import ewa_pm_factory + +# Partial moment skaters +# TODO: Make more autonomous +# Remark: Yes there are a few here and that's due to their initial success in Elo ratings. + + +def ewa_pm_emp_scov_r005_n100(s, y, k=1, e=1): + return ewa_pm_factory(s=s, y=y, k=k, r=0.005, n_emp=100) + + +def ewa_pm_emp_scov_r005_n100_t0(s, y, k=1, e=1): + return ewa_pm_factory(s=s, y=y, k=k, r=0.005, n_emp=100, target=0) + + +def ewa_pm_emp_scov_r005_n200(s, y, k=1, e=1): + return ewa_pm_factory(s=s, y=y, k=k, r=0.005, n_emp=200) + + +def ewa_pm_emp_scov_r005_n200_t0(s, y, k=1, e=1): + return ewa_pm_factory(s=s, y=y, k=k, r=0.005, n_emp=200, target=0) + + +def ewa_pm_emp_scov_r01_n100(s, y, k=1, e=1): + return ewa_pm_factory(s=s, y=y, k=k, r=0.01, n_emp=100) + + +def ewa_pm_emp_scov_r01_n100_t0(s, y, k=1, e=1): + return ewa_pm_factory(s=s, y=y, k=k, r=0.01, n_emp=100, target=0) + + +def ewa_pm_emp_scov_r01_n300(s, y, k=1, e=1): + return ewa_pm_factory(s=s, y=y, k=k, r=0.01, n_emp=300) + + +def ewa_pm_emp_scov_r01_n300_t0(s, y, k=1, e=1): + return ewa_pm_factory(s=s, y=y, k=k, r=0.01, n_emp=300, target=0) + + +def ewa_pm_emp_scov_r01_n200(s, y, k=1, e=1): + return ewa_pm_factory(s=s, y=y, k=k, r=0.01, n_emp=300) + + +def ewa_pm_emp_scov_r01_n200_t0(s, y, k=1, e=1): + return ewa_pm_factory(s=s, y=y, k=k, r=0.01, n_emp=200, target=0) + + +def ewa_pm_emp_scov_r02_n50(s, y, k=1, e=1): + return ewa_pm_factory(s=s, y=y, k=k, r=0.02, n_emp=50) + + +def ewa_pm_emp_scov_r02_n50_t0(s, y, k=1, e=1): + return ewa_pm_factory(s=s, y=y, k=k, r=0.02, n_emp=50, target=0) + + +def ewa_pm_emp_scov_r02_n100(s, y, k=1, e=1): + return ewa_pm_factory(s=s, y=y, k=k, r=0.02, n_emp=100) + + +def ewa_pm_emp_scov_r02_n100_t0(s, y, k=1, e=1): + return ewa_pm_factory(s=s, y=y, k=k, r=0.02, n_emp=100, target=0) + + +def ewa_pm_emp_scov_r05_n50(s, y, k=1, e=1): + return ewa_pm_factory(s=s, y=y, k=k, r=0.05, n_emp=50) + + +def ewa_pm_emp_scov_r05_n50_t0(s, y, k=1, e=1): + return ewa_pm_factory(s=s, y=y, k=k, r=0.05, n_emp=50, target=0) + + +def ewa_pm_emp_scov_r05_n25(s, y, k=1, e=1): + return ewa_pm_factory(s=s, y=y, k=k, r=0.02, n_emp=25) + + +def ewa_pm_emp_scov_r05_n25_t0(s, y, k=1, e=1): + return ewa_pm_factory(s=s, y=y, k=k, r=0.02, n_emp=25, target=0) + + + +EWA_PM_EMP_D0_COV_SKATERS_TM = [ewa_pm_emp_scov_r01_n100, ewa_pm_emp_scov_r01_n200, ewa_pm_emp_scov_r01_n300, + ewa_pm_emp_scov_r02_n100, ewa_pm_emp_scov_r01_n200, + ewa_pm_emp_scov_r02_n50, ewa_pm_emp_scov_r02_n100, + ewa_pm_emp_scov_r05_n50, ewa_pm_emp_scov_r05_n25 ] + +EWA_PM_EMP_D0_COV_SKATERS_T0 = [ewa_pm_emp_scov_r01_n100_t0, ewa_pm_emp_scov_r01_n200_t0, ewa_pm_emp_scov_r01_n300_t0, + ewa_pm_emp_scov_r02_n100_t0, ewa_pm_emp_scov_r01_n200_t0, + ewa_pm_emp_scov_r02_n50_t0, ewa_pm_emp_scov_r02_n100_t0, + ewa_pm_emp_scov_r05_n50_t0, ewa_pm_emp_scov_r05_n25_t0 ] + + +# some weak versions + + +EWA_PM_EMP_D0_COV_SKATERS = EWA_PM_EMP_D0_COV_SKATERS_TM + EWA_PM_EMP_D0_COV_SKATERS_T0 + diff --git a/precise/skaters/covariance/ewapmfactory.py b/precise/skaters/covariance/ewapmfactory.py new file mode 100644 index 00000000..514ba400 --- /dev/null +++ b/precise/skaters/covariance/ewapmfactory.py @@ -0,0 +1,104 @@ +import numpy as np +from precise.skaters.covariance.ewaempfactory import _ema_scov_update, _ema_scov_init +from typing import Union, List +from precise.skaters.location.averagingpre import sma + +# Exponential weighted partial moment covariancecomparisonutil estimation + +# If no target is supplied, either initially or for the update call, then a running mean will be used. + +QUADRANTS = {'cu':(1.0,1,1), # y*1 > 0 y*1 > 0 + 'du':(-1.0,-1,1), + 'dl':(-1.0,1,-1), + 'cl':(1.0,-1,-1)} + + +def ewa_pm_factory(s, y, k, r, target=0, n_emp=None, e=1): + """ Skater """ + assert k==1 + s = partial_ema_scov(s=s,x=y,r=r,target=target) + x = s['sma']['mean'] + x_cov = s['scov'] + return x, x_cov, s + + +def partial_ema_scov(s:dict, x:Union[List[float], int]=None, r:float=0.025, target=None, n_emp=None): + """ Maintain running population covariancecomparisonutil """ + if s.get('n_samples') is None: + if isinstance(x,(int,float)): + return _partial_ema_scov_init(n_dim=int(x), r=r, target=target, n_emp=n_emp) + elif len(x)>1: + s = _partial_ema_scov_init(n_dim=len(x), r=r, target=target, n_emp=n_emp) + else: + raise ValueError('Not sure how to initialize EWA COV tracker. Supply y=5 say, for 5 dim') + if x is not None: + s = _partial_ema_scov_update(s=s, x=x, r=r) + return s + + +def _partial_ema_scov_init(n_dim=None, r:float=0.025, n_emp=None, target:float=None)->dict: + """ Initialize object to track partial moments + + r: Importance of current data point + n_emp: Discouraged. Really only used for tests. + This is the number of samples for which empirical is used, rather + than running updates. By default n_emp ~ 1/r + + """ + s = dict([ (q,_ema_scov_init(n_dim=n_dim,r=r,n_emp=n_emp)) for q in QUADRANTS ]) + q = next(iter(s.keys())) # Choose any + s['n_dim'] = s[q]['n_dim'] + s['n_emp'] = s[q]['n_emp'] + s['rho'] = s[q]['rho'] + s['target'] = target + s['sma'] = sma({},n_dim,r=r) + return s + + +def _partial_ema_scov_update(s:dict, x:[float], r:float=None, target=None): + """ Update recency weighted estimate of scov-like matrix by treating quadrants individually """ + + assert len(x)==s['n_dim'] + + x = np.array(x) + + # If target is not supplied we maintain a mean that switches from emp to ema + if target is None: + target = s['target'] + if target is None: + target = s['sma']['mean'] + + # Update running partial scatter estimates + for q,(w,sgn1,sgn2) in QUADRANTS.items(): + # Morally: + # x1 = max(0, (y-target)*sgn1) * sgn1 + # x2 = (np.max(0, (y-target)*sgn2) * sgn2) if sgn1!=sgn2 else x1 + x1 = (x-target)*sgn1 + x2 = (x-target)*sgn2 + x1[x1<0]=0 + x2[x2<0]=0 + x1 = sgn1*x1 + x2 = sgn2*x2 + s[q] = _ema_scov_update(s[q],x=x1,r=r,target=0, y=x2) + + s['mean'] = np.copy( s['sma']['mean'] ) + s['n_samples'] = s['sma']['n_samples'] + + if s['n_samples']>=2: + s['scov'] = np.zeros(shape=((s['n_dim'],s['n_dim']))) + for q in QUADRANTS: + try: + s['scov'] += s[q]['scov'] + except: + pass + else: + s['scov'] = np.eye(s['n_dim']) + + s['sma'] = sma(s=s['sma'], x=x, r=r) + return s + + + + + + diff --git a/precise/skaters/covariance/identity.py b/precise/skaters/covariance/identity.py new file mode 100644 index 00000000..483ed3c9 --- /dev/null +++ b/precise/skaters/covariance/identity.py @@ -0,0 +1,9 @@ + +import numpy as np + + +def identity_scov(s, y, k=1, e=1): + """ Useful when you don't want to waste compute """ + # See equal_managers for usage example + n_dim = len(y) + return np.zeros(n_dim), np.eye(n_dim), s diff --git a/precise/skaters/covariance/runemp.py b/precise/skaters/covariance/runemp.py new file mode 100644 index 00000000..f492d1c5 --- /dev/null +++ b/precise/skaters/covariance/runemp.py @@ -0,0 +1,46 @@ +from precise.skaters.covariance.runempfactory import emp_pcov +import numpy as np + +# Running empirical covariancecomparisonutil with infinite memory, equal weighting + +def run_emp_pcov_d0(y, s:dict, k=1, a=None, t=None, e=1): + """ + Empirical covariancecomparisonutil skater that assumes y's are iid + + :param y: (n_dim,) Incoming vector of observations + :param s: State + :param k: Steps ahead to predict (this won't change anything) + :param a: Variables know in advance (ignored) + :param t: Epoch time (ignored) + :param e: Allocated computation time (ignored) + :return: (n_dim,), (n_dim,n_dim), dict + Point estimate, cov estimate, posterior state + """ + assert k==1 + s = emp_pcov(s=s,x=y) + x = s['mean'] + x_cov = s['pcov'] + return x, x_cov, s + + +def run_emp_pcov_d1(y, s:dict, k=1, a=None, t=None, e=None): + """ + Empirical covariancecomparisonutil skater that assumes changes in y's are iid + """ + assert k==1 + if not s or s.get('dy'): + s = {'prev_y':y, + 'dy':{}} + return y, np.eye(len(y)), s + else: + dy = y-s['prev_y'] + dy_hat, dy_cov, s['dy'] = run_emp_pcov_d0(y=dy, s=s['dy'], k=1) + y['prev_y'] = y + x = s['prev_y'] + dy_hat + return x, dy_cov, s + + +RUN_EMP_DO_COV_SKATERS = [run_emp_pcov_d0] +RUN_EMP_D1_COV_SKATERS = [run_emp_pcov_d1] + + diff --git a/precise/skaters/covariance/runempfactory.py b/precise/skaters/covariance/runempfactory.py new file mode 100644 index 00000000..810d8b70 --- /dev/null +++ b/precise/skaters/covariance/runempfactory.py @@ -0,0 +1,64 @@ +import numpy as np +from precise.skaters.covarianceutil.conventions import infer_dimension, X_DATA_TYPE, is_data + + +def emp_pcov(s:dict, x:[float]=None, n_dim=None, k=1)->dict: + """ + Track empirical sample covariancecomparisonutil + """ + assert k==1 + if not s: + s = _emp_pcov_init(x=x,n_dim=n_dim) + if is_data(x): + s = _emp_pcov_update(s=s, x=x) + return s + + +def _emp_pcov_init(s:dict=None, x:X_DATA_TYPE=None, n_dim=None): + """ Empirical population covariancecomparisonutil""" + n_dim = infer_dimension(x=x,n_dim=n_dim) + if s is None: + s = dict() + s['n_dim']=n_dim + s['shape']=(n_dim, n_dim) + s['ones'] = np.ones(n_dim) + s['n_samples'] = 0 + s['mean'] = np.zeros(n_dim) + s['pcov'] = np.eye(n_dim) + return s + + +def _emp_pcov_update(s:dict, x:X_DATA_TYPE, target=None): + assert s['n_dim'] == len(x) + prev_cov = np.copy( s['pcov'] ) + prev_mean = s['mean'] + s['n_samples'] += 1 + s['mean'] = prev_mean + (x - prev_mean)/s['n_samples'] + if target is None: + delta_x_prev = np.atleast_2d(x-prev_mean) + delta_x_current = np.atleast_2d(x - s['mean']) + else: + delta_x_prev = np.atleast_2d(x - target) + delta_x_current = np.atleast_2d(x - target) + s['pcov'] = prev_cov + ( np.matmul( delta_x_current.transpose(),delta_x_prev) - prev_cov ) / s['n_samples'] + + return s + + +def merge_emp_scov(s:dict, other_s:dict): + """ Merge two online covariancecomparisonutil tracking objects as if the data had been merged """ + if other_s['n_dim'] != s['n_dim']: + raise ValueError( + f''' + Cannot merge two OnlineCovariances with different orders. + ({s['n_dim']} != {other_s['n_dim']}) + ''') + + merged_cov = _emp_pcov_init(n_dim=s['n_dim']) + merged_cov['n_samples'] = s['n_samples'] + other_s['n_samples'] + count_corr = (other_s['n_samples'] * s['n_samples']) / merged_cov['n_samples'] + merged_cov['mean'] = (s['mean'] / other_s['n_samples'] + other_s['mean'] / s['n_samples']) * count_corr + flat_mean_diff = s['mean'] - other_s['mean'] + mean_diffs = np.broadcast_to(flat_mean_diff, s['shape']).T + merged_cov['pcov'] = (s['pcov'] * s['n_samples'] + other_s['pcov'] * other_s['n_samples'] + mean_diffs * mean_diffs.T * count_corr) / merged_cov['n_samples'] + return merged_cov \ No newline at end of file diff --git a/precise/skaters/covariance/weakboot.py b/precise/skaters/covariance/weakboot.py new file mode 100644 index 00000000..6ab27a77 --- /dev/null +++ b/precise/skaters/covariance/weakboot.py @@ -0,0 +1,18 @@ +from precise.skaters.covariance.avgfactory import avg_factory +from precise.skaters.covariance.weakewa import WEAK_EWA_DO_COV_SKATERS +from precise.skaters.covariance.weakpm import WEAK_PM_DO_COV_SKATERS, weak_pm_ewa_scov_r05_n50_t0 + + +def weak_boot_ewa_pm(y,s,k=1,**ignore): + fs = WEAK_PM_DO_COV_SKATERS + WEAK_EWA_DO_COV_SKATERS + WEAK_PM_DO_COV_SKATERS + WEAK_EWA_DO_COV_SKATERS + return avg_factory(y=y,s=s,fs=fs, k=k, draw_probability=0.8) + + +def weak_boot_pm_ewa_scov_r05_n50_t0(y,s,k=1,**ignore): + fs = [ weak_pm_ewa_scov_r05_n50_t0 ]*5 + return avg_factory(y=y,s=s,fs=fs, k=k, draw_probability=0.8) + + + +WEAK_BOOT_D0_COV_SKATERS = [ weak_boot_ewa_pm, weak_boot_pm_ewa_scov_r05_n50_t0 ] + diff --git a/precise/skaters/covariance/weakewa.py b/precise/skaters/covariance/weakewa.py new file mode 100644 index 00000000..01fb34e9 --- /dev/null +++ b/precise/skaters/covariance/weakewa.py @@ -0,0 +1,35 @@ +from precise.skaters.covariance.weakfactory import weak_pcov_factory +from precise.skaters.covariance.ewaemp import ewa_emp_pcov_d0_r01, ewa_emp_pcov_d1_r02, ewa_emp_pcov_d1_r05 +from precise.skaters.covariance.ewalw import ewa_lw_scov_d0_r01, ewa_lw_scov_d0_r02, ewa_lw_scov_d0_r05 + + +# Using moving averages + +def weak_ewa_emp_pcov_d0_r01(s, y, k=1, e=1): + return weak_pcov_factory(f=ewa_emp_pcov_d0_r01, s=s, y=y, k=k, e=e) + + +def weak_ewa_emp_pcov_d1_r02(s, y, k=1, e=1): + return weak_pcov_factory(f=ewa_emp_pcov_d1_r02, s=s, y=y, k=k, e=e) + + +def weak_ewa_emp_pcov_d1_r05(s, y, k=1, e=1): + return weak_pcov_factory(f=ewa_emp_pcov_d1_r05, s=s, y=y, k=k, e=e) + + +# Using online Ledoit-Wolf + +def weak_ewa_lw_scov_d0_r01(s, y, k=1, e=1): + return weak_pcov_factory(f=ewa_lw_scov_d0_r01, s=s, y=y, k=k, e=e) + + +def weak_ewa_lw_scov_d0_r02(s, y, k=1, e=1): + return weak_pcov_factory(f=ewa_lw_scov_d0_r02, s=s, y=y, k=k, e=e) + + +def weak_ewa_lw_scov_d0_r05(s, y, k=1, e=1): + return weak_pcov_factory(f=ewa_lw_scov_d0_r05, s=s, y=y, k=k, e=e) + + +WEAK_EWA_DO_COV_SKATERS = [ weak_ewa_emp_pcov_d0_r01,weak_ewa_emp_pcov_d1_r02, weak_ewa_emp_pcov_d1_r05, + weak_ewa_lw_scov_d0_r01,weak_ewa_lw_scov_d0_r02,weak_ewa_lw_scov_d0_r05] \ No newline at end of file diff --git a/precise/skaters/covariance/weakfactory.py b/precise/skaters/covariance/weakfactory.py new file mode 100644 index 00000000..d9557331 --- /dev/null +++ b/precise/skaters/covariance/weakfactory.py @@ -0,0 +1,56 @@ +from precise.skaters.portfoliostatic.unitport import unit_port +from precise.skaters.portfoliostatic.weakportfactory import optimal_b, weaken_cov +import numpy as np +from precise.skaters.portfolioutil.portfunctions import negative_mass, exclude_negative_weights + + + +def max_discrepancy_from_e(e, n_dim): + if e is None: + e = 1.0 + if e > 0: + r = 1 + e**2 + max_discrepancy = 1 / (r * n_dim) + if abs(e) < 1e-6: + max_discrepancy = 1 / n_dim + if e < 0: + max_discrepancy = 10000000 + return max_discrepancy + + +def weak_pcov_factory(y, f, s:dict, k=1, e=1, max_neg_mass=0.01, **f_kwargs): + """ + Takes a covariancecomparisonutil skater f and shrinks off-diagonal + (A speculative method motivated by out of sample portfolio performance) + """ + + one_vec = np.ones_like(y) + n_dim = len(y) + w_equal = one_vec/n_dim + d = np.ones(n_dim) + if not s: + s = {'s_f':{}, + 'b':1.0, + 'w':w_equal} + x_mean, x_cov, s['s_f'] = f(y=y, s=s['s_f'], k=k, e=e, **f_kwargs) + + # Shrink off-diagonal cov entries and check that the resultant portfolio hasn't changed too much + weak_cov = weaken_cov(cov=x_cov,diag_multipliers=d, off_diag_additional_factor=s['b'] ) + max_discrepancy = max_discrepancy_from_e(e=e,n_dim=n_dim) + discrep = np.linalg.norm( np.dot(weak_cov,s['w']) - one_vec ) + if discrep > max_discrepancy: # <-- what should this be? + # Update the shrinkage parameter b, and the weak portfolio + w_min_var = unit_port(cov=x_cov) + neg_mass = negative_mass(w_min_var) + if neg_mass > max_neg_mass: + b = optimal_b(cov=x_cov, w0=w_min_var) + d = np.ones(n_dim) + x_cov = weaken_cov(cov=x_cov, diag_multipliers=d, off_diag_additional_factor=b) + w = unit_port(cov=x_cov) + s['b'] = b + s['w'] = w + return x_mean, weak_cov, s + + + + diff --git a/precise/skaters/covariance/weaklz.py b/precise/skaters/covariance/weaklz.py new file mode 100644 index 00000000..27b31d93 --- /dev/null +++ b/precise/skaters/covariance/weaklz.py @@ -0,0 +1,20 @@ +from precise.skaters.covariance.weakfactory import weak_pcov_factory +from precise.skaters.covariance.ewalz import ewa_lz_scov_d0_r005_l010_n100, ewa_lz_scov_d0_r005_l020_n50, ewa_lz_scov_d0_r010_l010_n100 + +# Using structure learning + + +def weak_lz_scov_d0_r005_l010_n100(s, y, k=1, e=1): + return weak_pcov_factory(f=ewa_lz_scov_d0_r005_l010_n100, s=s, y=y, k=k, e=e) + + +def weak_lz_scov_d0_r005_l020_n50(s, y, k=1, e=1): + return weak_pcov_factory(f=ewa_lz_scov_d0_r005_l020_n50, s=s, y=y, k=k, e=e) + + +def weak_lz_scov_d0_r010_l010_n100(s, y, k=1, e=1): + return weak_pcov_factory(f=ewa_lz_scov_d0_r010_l010_n100, s=s, y=y, k=k, e=e) + + + +WEAK_LZ_DO_COV_SKATERS = [weak_lz_scov_d0_r010_l010_n100, weak_lz_scov_d0_r005_l020_n50, weak_lz_scov_d0_r010_l010_n100] \ No newline at end of file diff --git a/precise/skaters/covariance/weakpm.py b/precise/skaters/covariance/weakpm.py new file mode 100644 index 00000000..18fbad6e --- /dev/null +++ b/precise/skaters/covariance/weakpm.py @@ -0,0 +1,20 @@ +from precise.skaters.covariance.weakfactory import weak_pcov_factory +from precise.skaters.covariance.ewapm import ewa_pm_emp_scov_r02_n100_t0, ewa_pm_emp_scov_r05_n50_t0, ewa_pm_emp_scov_r01_n100_t0 + + +# Using partial moments... + + +def weak_pm_ewa_scov_r01_n100_t0(s, y, k=1, e=1): + return weak_pcov_factory(f=ewa_pm_emp_scov_r01_n100_t0, s=s, y=y, k=k, e=e) + + +def weak_pm_ewa_scov_r02_n100_t0(s, y, k=1, e=1): + return weak_pcov_factory(f=ewa_pm_emp_scov_r02_n100_t0, s=s, y=y, k=k, e=e) + + +def weak_pm_ewa_scov_r05_n50_t0(s, y, k=1, e=1): + return weak_pcov_factory(f=ewa_pm_emp_scov_r05_n50_t0, s=s, y=y, k=k, e=e) + + +WEAK_PM_DO_COV_SKATERS = [weak_pm_ewa_scov_r02_n100_t0, weak_pm_ewa_scov_r05_n50_t0 ] \ No newline at end of file diff --git a/precise/skaters/covariance/weaksk.py b/precise/skaters/covariance/weaksk.py new file mode 100644 index 00000000..525a2d7a --- /dev/null +++ b/precise/skaters/covariance/weaksk.py @@ -0,0 +1,35 @@ +from precise.skaters.covariance.weakfactory import weak_pcov_factory +from precise.skaters.covariance.bufsk import buf_sk_glcv_pcov_d0_n100_t0, buf_sk_lw_pcov_d0_n100, buf_sk_oas_pcov_d0_n100, buf_sk_mcd_pcov_d0_n100 +from precise.skaters.covariance.bufsk import buf_sk_lw_pcov_d0_n200, buf_sk_lw_pcov_d0_n300 + + + +def weak_sk_oas_pcov_d0_n100(s, y, k=1, e=1): + return weak_pcov_factory(f=buf_sk_glcv_pcov_d0_n100_t0, s=s, y=y, k=k, e=e) + + +def weak_sk_lw_pcov_d0_n200(s, y, k=1, e=1): + return weak_pcov_factory(f=buf_sk_lw_pcov_d0_n200, s=s, y=y, k=k, e=e) + + +def weak_sk_lw_pcov_d0_n300(s, y, k=1, e=1): + return weak_pcov_factory(f=buf_sk_lw_pcov_d0_n300, s=s, y=y, k=k, e=e) + + + +def weak_sk_lw_pcov_d0_n100(s, y, k=1, e=1): + return weak_pcov_factory(f=buf_sk_lw_pcov_d0_n100, s=s, y=y, k=k, e=e) + + +def weak_sk_oas_pcov_d0_n100(s, y, k=1, e=1): + return weak_pcov_factory(f=buf_sk_oas_pcov_d0_n100, s=s, y=y, k=k, e=e) + + +def weak_sk_mcd_pcov_d0_n100(s, y, k=1, e=1): + return weak_pcov_factory(f=buf_sk_mcd_pcov_d0_n100, s=s, y=y, k=k, e=e) + + + +WEAK_SK_DO_COV_SKATERS = [weak_sk_oas_pcov_d0_n100, weak_sk_lw_pcov_d0_n100, + weak_sk_oas_pcov_d0_n100, weak_sk_mcd_pcov_d0_n100, + weak_sk_lw_pcov_d0_n200, weak_sk_lw_pcov_d0_n300] diff --git a/precise/skaters/covarianceutil/__init__.py b/precise/skaters/covarianceutil/__init__.py new file mode 100644 index 00000000..e69de29b diff --git a/precise/skaters/covarianceutil/adjacency.py b/precise/skaters/covarianceutil/adjacency.py new file mode 100644 index 00000000..2f78a9c7 --- /dev/null +++ b/precise/skaters/covarianceutil/adjacency.py @@ -0,0 +1,31 @@ +import numpy as np +from precise.skaters.covarianceutil.covfunctions import multiply_diag +from kmeans1d import cluster + + +def centroid_precision_adjacency(pre:np.ndarray)->np.ndarray: + """ Uses clustering of absolute values to infer precision adjacency matrix + + :param pre: 2d array of precision estimates + :return: 2d array of boolean + + """ + # A rather speculative approach, this using 1-dim version of k-means clustering to establish a + # minimum absolute precision value. Any entry above this threshold is considered 'real'. + a = np.copy(pre) + n = np.shape(pre)[0] + off_diag_values = sorted(np.abs(multiply_diag(a, phi=0, copy=True).ravel())) + clusters, centroids = cluster(array=off_diag_values, k=3) + assert clusters[1]>=clusters[0] + cutoff_value = min( centroids[1]*2.0, centroids[2]/2.0 ) + abs_pre = np.abs(pre) + for i in range(n): + a[:,i] = np.vectorize(int)(abs_pre[:,i] > cutoff_value) + for i in range(n): + a[i,i]=1 + return a.astype(bool) + + + + + diff --git a/precise/skaters/covarianceutil/conventions.py b/precise/skaters/covarianceutil/conventions.py new file mode 100644 index 00000000..02d552cd --- /dev/null +++ b/precise/skaters/covarianceutil/conventions.py @@ -0,0 +1,27 @@ +from typing import Union +import numpy as np + +X_TYPE = Union[list,np.ndarray,int] +X_DATA_TYPE = Union[list,np.ndarray] +Y_TYPE = X_TYPE +Y_DATA_TYPE = X_DATA_TYPE + + +def infer_dimension(n_dim:int=None, x:X_TYPE=None, **ignore)->int: + """ Infer the number of variables + :param n_dim: + :param x: + :return: + """ + if n_dim is not None: + return n_dim + elif isinstance(x, int): + return x + elif len(x)>1: + return len(x) + else: + raise ValueError('Ambiguity in number of variables. Try supplying y or n_dim') + + +def is_data(x): + return isinstance(x,np.ndarray) or isinstance(x,list) \ No newline at end of file diff --git a/precise/skaters/covarianceutil/covdecomposition.py b/precise/skaters/covarianceutil/covdecomposition.py new file mode 100644 index 00000000..40dae5f1 --- /dev/null +++ b/precise/skaters/covarianceutil/covdecomposition.py @@ -0,0 +1,76 @@ +import numpy as np + + +def diagonalize(cov): + """ Returns D, P s.t. P^T D P = cov + :param cov: + :return: + """ + from precise.skaters.covarianceutil.covfunctions import nearest_pos_def + pos_def_cov = nearest_pos_def(cov) + (d, P) = np.linalg.eigh(pos_def_cov) + D = np.diag(d) + cov_check = np.dot(np.dot(P,D),P.transpose()) + assert np.allclose(pos_def_cov, cov_check) + return D, P.transpose() + + +def random_w(n_dim,n_obs): + w_raw = np.random.randn(n_obs,n_dim) + w_norms = np.linalg.norm(w_raw, axis=1) + w_norms_tile = np.tile(np.reshape(w_norms, newshape=(n_obs, 1)), n_dim) + w_norm = w_raw/w_norms_tile + return w_norm + + +def random_portfolio_vars(cov, n_obs)->[float]: + """ + Generate random portfolios + Report sequence of portfolio variances + """ + D, P = diagonalize(cov=cov) + n_dim = np.shape(cov)[0] + ws = random_w(n_dim=n_dim, n_obs=n_obs).transpose() + v = np.dot(P,ws) + vv = v * v + d = np.diag(D) + dRep = np.tile(np.atleast_2d(d).transpose(),reps=n_obs) + dvv = vv*dRep + return np.sum(dvv,axis=0) + + +def random_portfolio_features(cov, n_obs): + """ Quantities that may or may not help delineate relative success + :param cov: + :param n_obs: + :return: + """ + vs = random_portfolio_vars(cov=cov, n_obs=n_obs) + f0 = np.quantile(vs,0.001) / min(vs) + f1 = np.quantile(vs,0.01) / np.quantile(vs,0.001) + f2 = np.quantile(vs,0.1) / np.quantile(vs,0.01) + f3 = np.quantile(vs,0.5) / np.quantile(vs, 0.1) + f4 = np.quantile(vs,0.99) / np.quantile(vs, 0.5) + f5 = np.quantile(vs,0.999) / np.quantile(vs, 0.99) + f6 = np.max(vs) / np.quantile(vs, 0.999) + return np.log( [ f0, f1, f2, f3, f4, f5, f6 ]) + +RANDOM_PORTFOLIO_FEATURE_NAMES = ['f'+str(i) for i in range(7) ] + + +if __name__=='__main__': + from precise.skaters.covarianceutil.covrandom import random_factor_cov + n_dim = 10 + n_obs = 1557 + cov1 = random_factor_cov(n_dim=n_dim) + vs1 = random_portfolio_vars(cov=cov1, n_obs=n_obs) + cov2 = np.eye(n_dim) + 0.1*random_factor_cov(n_dim=n_dim) + vs2 = random_portfolio_vars(cov=cov2, n_obs=n_obs) + import matplotlib.pyplot as plt + plt.hist(vs1,bins=100) + plt.hist(vs2,bins=100) + plt.legend(['cov 1','cov 2']) + plt.show() + + + diff --git a/precise/skaters/covarianceutil/covfunctions.py b/precise/skaters/covarianceutil/covfunctions.py new file mode 100644 index 00000000..b33168dc --- /dev/null +++ b/precise/skaters/covarianceutil/covfunctions.py @@ -0,0 +1,393 @@ +import numpy as np +import math +import pandas as pd +from precise.skaters.covarianceutil.pdutil import square_to_square_dataframe, square_to_column_series, square_to_index_series +from scipy.cluster.hierarchy import linkage, leaves_list +from scipy.spatial.distance import squareform + +# Functions acting on cov, corrcoef matrices and other square matrices +# If square pd.DataFrame are supplied instead, index and columns are preserved + +def is_symmetric(a, rtol=1e-05, atol=1e-08): + if isinstance(a, pd.DataFrame): + return is_symmetric(a.values, rtol=rtol, atol=atol) + else: + return np.allclose(a, a.T, rtol=rtol, atol=atol) + + +def to_symmetric(a): + if isinstance(a, pd.DataFrame): + return square_to_square_dataframe(a, to_symmetric) + else: + return (a + a.T) / 2.0 + + +def seriation(cov, d=None): + if d is None: + d = cov_distance(cov=cov) + try: + d_square = squareform( to_symmetric(d) ) + clusters = linkage(d_square, method='single',optimal_ordering=True) + return leaves_list(clusters) + except Exception as e: + print('Strange error in seriation ') + print(e) + n = np.shape(cov)[0] + return [i for i in range(n)] + + +def cov_to_corrcoef(a): + if isinstance(a, pd.DataFrame): + return square_to_square_dataframe(a, cov_to_corrcoef) + else: + variances = np.diagonal(a) + denominator = np.sqrt(variances[np.newaxis, :] * variances[:, np.newaxis])+1e-12 + with np.errstate(divide='raise'): + try: + corr = a / denominator + return corr + except (FloatingPointError, ZeroDivisionError, RuntimeWarning): + sub_cov = np.diag(variances) + 1e-6 + return cov_to_corrcoef(sub_cov) + + +def normalize(x): + if isinstance(x,dict): + return normalize_dict_values(x) + else: + try: + return x/sum(x) + except TypeError: + return [xi/sum(x) for xi in x] + + +def normalize_dict_values(d): + return dict( zip(d.keys(), normalize(list(d.values())) )) + + +def multiply_diag(a, phi, copy=True): + if isinstance(a, pd.DataFrame): + return square_to_square_dataframe(df=a, cov_func=multiply_diag, phi=phi, copy=copy) + else: + if copy: + b = np.copy(a) + return multiply_diag(b, phi=phi, copy=False) + else: + n = np.shape(a)[0] + for i in range(n): + a[i, i] = a[i, i] * phi + return a + + +def multiply_off_diag(a, phi, copy=True): + if isinstance(a, pd.DataFrame): + return square_to_square_dataframe(df=a, cov_func=multiply_off_diag, phi=phi, copy=copy) + else: + if copy: + b = np.copy(a) + return multiply_off_diag(b, phi=phi, copy=False) + else: + n = np.shape(a)[0] + d = np.diag(a) + a = phi*a + for i in range(n): + a[i, i] = d[i] # restore diag + return a + + +def grand_mean(a): + # np.trace(a)/n might be faster, haven't checked + if isinstance(a,pd.DataFrame): + return grand_mean(a.values) + else: + return np.mean(a.diagonal()) + + +def grand_shrink(a, lmbd, copy=True): + if isinstance(a, pd.DataFrame): + return square_to_square_dataframe(a, grand_shrink, a=a, lmbd=lmbd) + else: + if copy: + B = np.copy(a) + return grand_shrink(B, lmbd=lmbd, copy=False) + else: + n = np.shape(a)[0] + mu = grand_mean(a) + return (1-lmbd) * a + lmbd * mu * np.eye(n) + + +def affine_inversion(a, phi=1.01, lmbd=0.01, copy=True): + """ Combination of "ridge" (multiply diagonal) and "shrinkage" (towards mu*I) + :param a: + :param phi: + :param lmbd: + :return: + """ + if isinstance(a, pd.DataFrame): + return square_to_square_dataframe(a, affine_inversion, phi=phi, lmbd=lmbd) + else: + shrunk_cov = affine_shrink(a=a, phi=phi, lmbd=lmbd) + try: + pre = np.linalg.inv(shrunk_cov) + except np.linalg.LinAlgError: + pre = np.linalg.pinv(shrunk_cov) + return pre + + +def affine_shrink(a, phi=1.01, lmbd=0.01, copy=True): + if isinstance(a, pd.DataFrame): + return square_to_square_dataframe(a, affine_shrink, phi=phi, lmbd=lmbd) + else: + ridge_cov = multiply_diag(a, phi=phi, copy=copy) + shrunk_cov = grand_shrink(ridge_cov, lmbd=lmbd, copy=copy) + return shrunk_cov + + + + + +def dense_weights_from_dict(d:dict, shape=None, n_dim:int=None): + """ Convert {1:3.141,0:123} -> [ 123, 3.141 ] + :param d: Dictionary whose keys should be 0..n + :param shape: + :param n_dim: + :return: + """ + if shape is None: + if n_dim is not None: + shape = (n_dim,) + else: + n_dim = max(d.values())+1 + w = np.ndarray(shape=shape) + for i in range(n_dim): + w[i] = d[i] + return w + + +def nearest_pos_def(a): + """Find the ensure_rel_entropy positive-definite matrix to input + + A Python/Numpy port of John D'Errico's `nearestSPD` MATLAB code [1], which + credits [2]. + + [1] https://www.mathworks.com/matlabcentral/fileexchange/42885-nearestspd + + [2] N.J. Higham, "Computing a ensure_rel_entropy symmetric positive semidefinite + matrix" (1988): https://doi.org/10.1016/0024-3795(88)90223-6 + """ + if isinstance(a, pd.DataFrame): + return square_to_square_dataframe(a, nearest_pos_def) + else: + b = to_symmetric(a) + _, s, V = np.linalg.svd(b) + H = np.dot(V.T, np.dot(np.diag(s), V)) + a2 = (b + H) / 2 + a3 = (a2 + a2.T) / 2 + + if is_positive_def(a3): + return a3 + + spacing = np.spacing(np.linalg.norm(a)) + # The above is different from [1]. It appears that MATLAB's `chol` Cholesky + # decomposition will accept matrixes with exactly 0-eigenvalue, whereas + # Numpy's will not. So where [1] uses `eps(mineig)` (where `eps` is Matlab + # for `np.spacing`), we use the above definition. CAVEAT: our `spacing` + # will be much larger than [1]'s `eps(mineig)`, since `mineig` is usually on + # the order of 1e-16, and `eps(1e-16)` is on the order of 1e-34, whereas + # `spacing` will, for Gaussian random matrixes of small dimension, be on + # othe order of 1e-16. In practice, both ways converge, as the unit test + # below suggests. + I = np.eye(a.shape[0]) + k = 1 + while not is_positive_def(a3): + mineig = np.min(np.real(np.linalg.eigvals(a3))) + a3 += I * (-mineig * k**2 + spacing) + k += 1 + + return a3 + + +def is_positive_def(a): + """Returns true when input is positive-definite, via Cholesky""" + if isinstance(a,pd.DataFrame): + return is_positive_def(a.values) + else: + try: + _ = np.linalg.cholesky(a) + return True + except np.linalg.LinAlgError: + return False + + +def make_diagonal(a): + if isinstance(a, pd.DataFrame): + return square_to_square_dataframe(a, make_diagonal) + else: + return np.diag(np.diag(a)) + + +def mean_off_diag(a): + if isinstance(a, pd.DataFrame): + return square_to_square_dataframe(a, mean_off_diag) + else: + n = np.shape(a)[0] + b = np.vectorize(float)(a) + b = b - np.eye(n) + the_sum = np.sum(b,axis=None) + return the_sum/(n*(n-1)) + + +def corr_distance(corr, expon=0.5): + """ + Convert correlations into a distance between variables + """ + if isinstance(corr, pd.DataFrame): + return square_to_square_dataframe(corr, corr_distance, expon=expon) + else: + if np.shape(corr)[0]==1: + return np.zeros_like(corr) + else: + with np.errstate(divide='raise'): + try: + return ((1 - np.array(corr)) / 2.) ** expon + except (RuntimeWarning, RuntimeError): + try: + return ((1 - 0.5*np.array(corr)) / 2.) ** expon + except (RuntimeWarning, RuntimeError): + print('Failed to compute corr distance') + donut = np.ones_like(corr)-np.eye(np.shape(corr)[0]) + return donut + + + +def cov_distance(cov, expon=0.5): + """ + Convert covariancecomparisonutil into a distance between variables + """ + if isinstance(cov, pd.DataFrame): + return square_to_square_dataframe(cov, cov_distance, expon=expon) + else: + corr = cov_to_corrcoef(cov) + return corr_distance(corr=corr, expon=expon) + + + +def try_invert(a, **affine_inversion_kwargs): + """ + Attempt to invert a matrix by whatever means, falling back to ridge + shrinkage as required + """ + if isinstance(a, pd.DataFrame): + return square_to_square_dataframe(a, try_invert, **affine_inversion_kwargs) + else: + try: + return np.linalg.inv(a) + except np.linalg.LinAlgError: + try: + return np.linalg.pinv(a) + except np.linalg.LinAlgError: + return affine_inversion(a, **affine_inversion_kwargs) + + +def weaken_cov(cov, diag_multipliers:[float], off_diag_additional_factor=0.9): + """ Augment a covariancecomparisonutil matrix + :param cov: + :param diag_multipliers: Vector to multiply diagonals by + :param off_diag_additional_factor: Additional multiplicative factor + :return: + """ + if isinstance(cov, pd.DataFrame): + return square_to_square_dataframe(cov, weaken_cov, diag_multipliers=diag_multipliers, off_diag_additional_factor=off_diag_additional_factor) + else: + covs = np.copy(cov) + for i, di in enumerate(diag_multipliers): + covs[i, i] = covs[i, i] * di + for j, dj in enumerate(diag_multipliers): + if j != i: + covs[i, j] = off_diag_additional_factor * math.sqrt(di * dj) * covs[i, j] + return covs + + +def approx_diag_of_inv(a): + """ + Approximate diagonal entries of the inverse of a matrix + """ + # TODO: https://cholmod-extra.readthedocs.io/en/latest/functions.html#sparse-inverse + raise NotImplementedError + + + +def bottom_schur_complement(A, B, C, D, gamma=1.0): + # D - gamma C A^{-1} B + return schur_complement(A=D, B=C, C=B, D=A, gamma=gamma) + + +def schur_complement(A,B,C,D, gamma=1.0): + # A - gamma B D^{-1} C + return _schur_complement_solve(A=A, B=B, C=C, D=D, gamma=gamma) + + +def _schur_complement_solve(A, B, C, D, gamma, warn=False, throw=False): + # A - B D^{-1} C + DinvC = inverse_multiply(a=D, b=C, warn=warn, throw=throw) + M = A - gamma*np.dot( B, DinvC ) + + CAREFUL = warn or throw + if CAREFUL: + rankD = np.linalg.matrix_rank(D) + dimD = max(np.shape(D)) + if rankD==dimD: + checkM = _schur_complement_pseudo(A=A,B=B,C=C,D=D, gamma=gamma) + if not np.allclose( M, checkM ): + print('schurly not') + elif warn: + print(' D is rank deficient, so schur complement is method dependent ') + + return M + + +def _schur_complement_pseudo(A, B, C, D, gamma): + return A - gamma*np.dot( np.dot(B, np.linalg.pinv(D)),C) + + +def _schur_complement_direct(A, B, C, D, gamma): + return A - gamma*np.dot( np.dot(B, np.linalg.pinv(D)),C) + + +def inverse_multiply(a, b, warn=False, throw=False): + # Want y = a^{-1} b + # a y = b + # y = solve(a,b) + x = np.linalg.solve(a, b) + if (warn or throw): + if np.linalg.matrix_rank(x)n_burn + s = {} + + if verbose: + print(' burn in for '+str(n_burn)) + for y in xs[:n_burn]: + y_hat, y_cov, s = f(s=s, y=y, k=1, e=-1) + + if verbose: + print(' evaluating '+str(n_obs-n_burn)) + + ll = 0 + y_hat_prev = None + y_cov_prev = None + for m,y in enumerate( xs[n_burn:]): + if y_hat_prev is not None: + # Evaluate last prediction + inv_start_time = time.time() + try: + y_inv_prev = np.linalg.inv(y_cov_prev) + except np.linalg.LinAlgError: + y_inv_prev = np.linalg.pinv(y_cov_prev) + inv_time += time.time()-inv_start_time + + dy = np.array(y) - np.array(y_hat_prev) + ll_delta = vector_log_likelihood(pre=y_inv_prev, y=dy, lb=lb) + if ll_delta>ub: + ll_delta = ub + ll += ll_delta + + # Store predictions for assessment against next data point + y_hat_prev = y_hat + y_cov_prev = y_cov + + # Make next prediction + y_hat, y_cov, s = f(s=s, y=y, k=1, e=1) + + total_time = time.time()-start_time + metrics = {'total time':total_time,'inversion time':inv_time,'time':total_time-inv_time} + return ll, metrics if with_metrics else ll + + +def pre_skater_loglikelihood(f, xs, n_burn=10, with_metrics=True, lb=-1000, ub=1000): + """ + Gaussian likelihood of a precision skater applied to data xs + + :param f: + :param lb, ub lower and upper bounds for ll of individual point + :param xs: + :return: + """ + start_time = time.time() + + n_obs, n_dim = np.shape(xs) + assert n_obs>n_burn + s = {} + + for y in xs[:n_burn]: + y_hat, y_pre, s = f(s=s,y=y,k=1) + + ll = 0 + y_hat_prev = None + y_pre_prev = None + for m,y in enumerate( xs[n_burn:]): + if y_hat_prev is not None: + dy = np.array(y) - np.array(y_hat_prev) + ll_delta = min( vector_log_likelihood(pre=y_pre_prev, y=dy, lb=lb),ub ) + ll += ll_delta + + # Store predictions for assessment against next data point + y_hat_prev = y_hat + y_pre_prev = y_pre + + # Make next prediction + y_hat, y_pre, s = f(s=s, y=y, k=1) + + + total_time = time.time()-start_time + metrics = {'total time':total_time} + return ll, metrics if with_metrics else ll + + + +if __name__=='__main__': + from precise.skaters.covariance.runemp import run_emp_pcov_d0 + xs = np.random.randn(500,3) + ll, metrics = cov_skater_loglikelihood(f=run_emp_pcov_d0, xs=xs, with_metrics=True) + print(ll) + from pprint import pprint + pprint(metrics) + + + + + + diff --git a/precise/skaters/covarianceutil/pdutil.py b/precise/skaters/covarianceutil/pdutil.py new file mode 100644 index 00000000..06d92aca --- /dev/null +++ b/precise/skaters/covarianceutil/pdutil.py @@ -0,0 +1,111 @@ +import pandas as pd +import numpy as np + + +def square_to_square_dataframe(df, cov_func, **cov_func_kwargs): + """ Map square dataframe to square dataframe """ + return pd.DataFrame( index=df.index, columns=df.columns, data=cov_func(df.values, **cov_func_kwargs)) + + +def square_to_column_series(df, cov_func, **cov_func_kwargs): + """ Map square dataframe to Series indexed by columns """ + return pd.Series( index=df.columns, data=cov_func(df.values, **cov_func_kwargs) ) + + +def square_to_index_series(df, cov_func, **cov_func_kwargs): + """ Map square dataframe to Series indexed by index """ + return pd.Series( index=df.index, data=cov_func(df.values, **cov_func_kwargs) ) + + +def data_to_square_dataframe(df, data_func, **data_func_kwargs): + return pd.DataFrame( index=df.columns, columns=df.columns, data=data_func(df.values, **data_func_kwargs)) + + + + +def dict_or_series_values(d): + # Remark: https://stackoverflow.com/questions/835092/python-dictionary-are-keys-and-values-always-the-same-order + if isinstance(d,dict): + return np.array(list(d.values())) + elif isinstance(d,pd.Series): + return d.values + + +def dict_or_series_to_scalar(d, func, **dict_func_kwargs): + x = dict_or_series_values(d) + return dict(zip(d.keys(), func(x, **dict_func_kwargs))) + + +def _square_and_vector_values(a,w): + """ Takes square and vector arguments, which might be dict/Series/DataFrame + Assumes columns of a correspond to index of w + :param a: + :param w: + :return: (a,b), (b,) + """ + if isinstance(a,pd.DataFrame) and isinstance(w, (dict, pd.Series)): + if isinstance(w, pd.Series): + w = w.to_dict() + assert set(w.values()) == set(a.columns) + w_values = np.array([w[ky] for ky in list(a.columns)]) + a_values = a.values + elif isinstance(a,pd.DataFrame) and isinstance( w, (dict, pd.Series)): + raise ValueError('too dangerous') + elif isinstance(a, pd.DataFrame) and not isinstance( w, (dict, pd.Series)): + a_values = a.values + w_values = np.array(w) + elif ~isinstance(a, pd.DataFrame) and isinstance( w, (dict, pd.Series)): + a_values = a + try: + w_values = w.values() + except TypeError: + w_values = w.values + else: + raise NotImplementedError() + return a_values, w_values + + +def square_and_vector_to_scalar(a, w, func, **func_kwargs): + """ + :param a: np 2d array or square dataframe + :param w: 1d array, list, dict or Series + :param func: (a,w, **func_kwards) -> list or 1d array + :param func_kwargs: + :return: + """ + a_values, w_values = _square_and_vector_values(a=a,w=w) + return func(a_values, w_values, **func_kwargs) + + +def square_and_vector_to_vector(a, w, func, **func_kwargs): + """ + :param a: np 2d array or square dataframe + :param w: 1d array, list, dict or Series + :param func: (a,w, **func_kwards) -> list or 1d array + :param func_kwargs: + :return: + """ + a_values, w_values = _square_and_vector_values(a=a, w=w) + y_values = func( a_values, w_values, **func_kwargs) + if isinstance(w, dict): + return dict(zip( w.keys(), y_values)) + elif isinstance(w, pd.Series): + return pd.Series(index=w.index, data=y_values) + else: + return np.array(y_values) + + +def vector_to_vector(w, func, **func_kwargs): + if isinstance(w, dict): + y_values = func( w.values(), **func_kwargs ) + return dict(zip(w.keys(),y_values)) + elif isinstance(w, pd.Series): + y_values = func( w.values, **func_kwargs ) + return pd.Series(index=w.index, data=y_values) + else: + return func( np.array(w) ) + + + + + diff --git a/precise/skaters/covarianceutil/schurfunctions.py b/precise/skaters/covarianceutil/schurfunctions.py new file mode 100644 index 00000000..139597f9 --- /dev/null +++ b/precise/skaters/covarianceutil/schurfunctions.py @@ -0,0 +1,2 @@ + + diff --git a/precise/skaters/covarianceutil/statefunctions.py b/precise/skaters/covarianceutil/statefunctions.py new file mode 100644 index 00000000..1be12bbf --- /dev/null +++ b/precise/skaters/covarianceutil/statefunctions.py @@ -0,0 +1,29 @@ + +# Functions that respect typical key conventions +# +# i.e. f(**s) usually works where s is the state for a covariancecomparisonutil skater + +import numpy as np + + +def oas(n_samples:int, pcov=None, scov=None, **ignore): + """ Compute shrunk covariancecomparisonutil matrix from empirical + :param pcov: Covariance matrix + :return: Shrunk cov matrix + """ + # In sklearn this is bundled with emp cov estimation, so we have to cut and paste a few lines. See + # https://github.com/scikit-learn/scikit-learn/blob/7e1e6d09b/sklearn/covariance/_shrunk_covariance.py#L347 + assert n_samples > 1, 'Need n_samples>1' + if pcov is None: + assert scov is not None, 'Need pcov or scov to be supplied' + pcov = (n_samples-1)/n_samples*scov + + n_dim = np.shape(pcov)[0] + mu = np.trace(pcov) / n_dim + alpha = np.mean(pcov ** 2) + num = alpha + mu ** 2 + den = (n_samples + 1.0) * (alpha - (mu ** 2) / n_dim) + shrinkage = 1.0 if den == 0 else min(num / den, 1.0) + b = (1.0 - shrinkage) * pcov + b.flat[:: n_dim + 1] += shrinkage * mu + return b diff --git a/precise/skaters/covarianceutil/statemutations.py b/precise/skaters/covarianceutil/statemutations.py new file mode 100644 index 00000000..89967b5e --- /dev/null +++ b/precise/skaters/covarianceutil/statemutations.py @@ -0,0 +1,10 @@ + + +def both_cov(s): + """ Ensure tracking object has both population and sample cov """ + if s.get('n_samples')>1: + if s.get('scov') is None and s['pcov'] is not None: + s['scov'] = s['n_samples']/(s['n_samples']-1)*s['pcov'] + if s.get('pcov') is None and s['scov'] is not None: + s['pcov'] = (s['n_samples'] - 1)/ s['n_samples'] * s['scov'] + return s diff --git a/precise/skaters/exceptions.py b/precise/skaters/exceptions.py new file mode 100644 index 00000000..30dab4d8 --- /dev/null +++ b/precise/skaters/exceptions.py @@ -0,0 +1,9 @@ + +class KIsNotOne(Exception): + pass + + +def raise_if_k_not_one(k): + if not k in [1,None]: + raise KIsNotOne('Skater only accepts k=1') + diff --git a/precise/skaters/location/README.md b/precise/skaters/location/README.md new file mode 100644 index 00000000..d39b9257 --- /dev/null +++ b/precise/skaters/location/README.md @@ -0,0 +1,5 @@ + +### Location + +Skaters maintaining means etc for vectors, but not much else + \ No newline at end of file diff --git a/precise/skaters/location/__init__.py b/precise/skaters/location/__init__.py new file mode 100644 index 00000000..e69de29b diff --git a/precise/skaters/location/averagingpre.py b/precise/skaters/location/averagingpre.py new file mode 100644 index 00000000..187e3e6e --- /dev/null +++ b/precise/skaters/location/averagingpre.py @@ -0,0 +1,51 @@ +import numpy as np +from precise.skaters.covarianceutil.conventions import X_TYPE, X_DATA_TYPE, is_data, infer_dimension + +# Running means for vectors + + +def ewa(s:dict=None, x:X_TYPE=None, r:float=0.025, n_dim:int=None): + """ Exponential weighted average """ + return averager(s=s, x=x, r=r, n_dim=n_dim, method='ma') + + +def sma(s:dict=None, x:X_TYPE=None, r:float=0.025, n_dim:int=None): + """ Switching from empirical to ewa """ + return averager(s=s, x=x, r=r, n_dim=n_dim, method='switch') + + + +def averager(s:dict=None, x:X_TYPE=None, r:float=0.025, method:str= 'switch', n_dim:int=None): + """ "Switching moving average + method: 'switch', 'ma' or 'emp' + """ + if not s: + s = _sma_init(s=s,x=x,r=r,n_dim=n_dim, method=method) + if is_data(x): + s = _sma_update(s=s,x=x,r=r, method=method) + return s + + +def _sma_init(s:dict=None, x:X_TYPE=None, n_dim:int=None, r=None, method:str=None): + n_dim = infer_dimension(n_dim=n_dim, x=x) + if not s: + s = dict() + s.update( {'n_samples':0,'mean':np.zeros(n_dim),'r':r,'method':method}) + return s + + +def _sma_update(s:dict, x:X_DATA_TYPE, r=None, method:str=None): + method = method or s['method'] + r = r if (r is not None) else s['r'] + s['n_samples'] += 1 + if (s['n_samples']<1/r and method=='switch') or (method=='emp'): + s['mean'] += x/s['n_samples'] + else: + if s['n_samples']==1: + s['mean'] = x + else: + s['mean'] = (1-r)*s['mean'] + r*x + return s + + + diff --git a/precise/skaters/location/buffermedianpre.py b/precise/skaters/location/buffermedianpre.py new file mode 100644 index 00000000..d5016270 --- /dev/null +++ b/precise/skaters/location/buffermedianpre.py @@ -0,0 +1,49 @@ +import numpy as np +from precise.skaters.covarianceutil.conventions import X_TYPE, X_DATA_TYPE, is_data + + +# Vectorized median for finite buffer +# Equivalent to np.nanmedian(xs[max(0,k-n_buffer+1):k+1], axis=0) + + +def med(s:dict=None, x:X_TYPE=None, n_buffer:int=100 ): + if not s: + s = _med_init(s=s, n_buffer=n_buffer) + if is_data(x): + s = _med_update(s=s, x=x) + return s + + +def _med_init(s:dict=None, n_buffer:int=None): + if not s: + s = dict() + s.update( {'buffer':list(), 'n_buffer':n_buffer} ) + return s + + +def _med_update(s:dict, x:X_DATA_TYPE, n_buffer:int=None): + if n_buffer is None: + n_buffer = s['n_buffer'] + if len(s['buffer']): + assert len(s['buffer'][0])==len(x), 'dimension mismatch' + s['buffer'].append(np.atleast_1d(x)) + if len(s['buffer'])>n_buffer: + _ = s['buffer'].pop(0) + s['median'] = np.nanmedian(s['buffer'],axis=0) + return s + + + +if __name__=='__main__': + import random + xs = np.random.randn(500,100) + xs[17,1] = np.nan + s = {} + n_buffer = random.choice([1,5,100]) + for k,x in enumerate(xs): + s = med(s=s,x=x,n_buffer=n_buffer) + np_median = np.nanmedian(xs[max(0,k-n_buffer+1):k+1], axis=0) + s_median = s['median'] + if not np.allclose( np_median, s_median, atol=1e-8 ): + print('urgh') + assert False diff --git a/precise/skaters/location/empirical.py b/precise/skaters/location/empirical.py new file mode 100644 index 00000000..f73279ed --- /dev/null +++ b/precise/skaters/location/empirical.py @@ -0,0 +1,27 @@ +from precise.skaters.location.empricalpre import emp +import numpy as np + + +def emp_d0(y, s:dict, k=1, **ignore): + """ Rudimentary empirical skater with no cov estimation """ + # See precision.covariancecomparisonutil.empirical.run_emp_pcov_d1 if you want cov estimates + s = emp(s=s, x=np.array(y)) + y_hat = s['mean'] + return y_hat, np.eye(len(y)), s + + +def emp_d1(y, s:dict, k=1, **ignore): + """ Rudimentary differenced empirical skater with no cov estimation """ + # See precision.covariancecomparisonutil.empirical.run_emp_pcov_d1 if you want cov estimates + if not s: + s = {'prev_y':y,'dy':{}} + return np.zeros_like(y), np.eye(len(y)), s + else: + dy = y - s['prev_y'] + dy_hat, _, s['dy'] = emp_d0(y=dy, s=s['dy'], k=1) + y['prev_y'] = y + y_hat = s['prev_y'] + dy_hat + s['dy']['v']['mean'] + y_cov = np.eye(len(y)) + return y_hat, y_cov, s + + diff --git a/precise/skaters/location/empricalpre.py b/precise/skaters/location/empricalpre.py new file mode 100644 index 00000000..9d3295ec --- /dev/null +++ b/precise/skaters/location/empricalpre.py @@ -0,0 +1,7 @@ +from precise.skaters.covarianceutil.conventions import X_TYPE +from precise.skaters.location.averagingpre import averager + + +def emp(s:dict=None, x:X_TYPE=None): + """ Empirical mean """ + return averager(s=s, x=x, method='emp') \ No newline at end of file diff --git a/precise/skaters/locationutil/__init__.py b/precise/skaters/locationutil/__init__.py new file mode 100644 index 00000000..e69de29b diff --git a/precise/skaters/locationutil/bisection.py b/precise/skaters/locationutil/bisection.py new file mode 100644 index 00000000..e3aa51cb --- /dev/null +++ b/precise/skaters/locationutil/bisection.py @@ -0,0 +1,37 @@ +import numpy as np + + + + + +def parallel_bisection_root_finder(f, lb, ub, atol=1e-6, n_iter=10, copy=True, guess=None, *args, **kwargs): + """ Find many zeros of f for many different choices of function parameters + + f: function acting on 1d arrays return 1d arrays + lb: (n_vars,) lower bounds + ub: (n_vars,) upper bounds + *args, **kwargs Additional arguments for f that, we presume, vary from one variable to the next + :returns vector of roots, vector of function vals (close to zero) + """ + + # Ack: https://stackoverflow.com/questions/13088115/finding-the-roots-of-a-large-number-of-functions-with-one-variable + x0 = np.copy(lb) if copy else lb + x1 = np.copy(ub) if copy else ub + converged = False + for i in range(n_iter): + if i==0 and guess is not None: + assert len(guess)==len(x0) + x_mid = guess + else: + x_mid = (x0 + x1)/2.0 + f0 = f(x0, *args, **kwargs) + f1 = f(x1, *args, **kwargs) + f_mid = f(x_mid, *args, **kwargs) + x0 = np.where( np.sign(f_mid) == np.sign(f0), x_mid, x0 ) + x1 = np.where( np.sign(f_mid) == np.sign(f1), x_mid, x1 ) + error_max = np.amax(np.abs(x1 - x0)) + if error_max < atol: + converged = True + break + fraction_converged = np.mean(np.abs(x1 - x0) < atol) + return (x0+x1)/0.5, fraction_converged diff --git a/precise/skaters/locationutil/hubermean.py b/precise/skaters/locationutil/hubermean.py new file mode 100644 index 00000000..58c082f6 --- /dev/null +++ b/precise/skaters/locationutil/hubermean.py @@ -0,0 +1,140 @@ +# Ack: https://arxiv.org/pdf/2108.12627.pdf + +import numpy as np +import math +from scipy.optimize import newton + + +def huber_mean(xs:[[float]], a:float=1.0, b=2.0, n_iter=20, atol=1e-8)->[float]: + """ Compute a columnwise pseudo-mean of xs, by minimizing a generalized Huber error that is + proportional to y^2 near zero and asymptotes to |y| as |y|->infinity. + f(y) = 1/a log( exp(a*(y-mu)) + exp(-(a*(y-mu)) + b ) + This is the same as the function below, except the parameter a will multiply std(y) + :param xs: (n_samples, n_vars) + :param a: Generalized Huber parameter as per formula + :param b: Generalized Huber parameter as per formula above, scalar or (nvars,) + :param with_fraction_converged: If True, will return the mean number of rows where convergence was achieved + :return: (n_vars,) location parameters + + """ + if len(xs)==0: + raise ValueError('Cannot compute huber mean for no data') + elif len(xs)==1: + return xs[0] + else: + x_std = np.nanstd(xs,axis=0) + xs_rescaled = xs/(10*x_std) + a_abs = a/10. + scaled_mean = huber_mean_absolute_params(xs=xs_rescaled, a=a_abs, b=b, n_iter=n_iter, atol=atol, with_fraction_converged=False) + unscaled_mean = scaled_mean * x_std*10 + return unscaled_mean + + +def huber_mean_absolute_params(xs:[[float]], a, b, n_iter=20, atol=1e-8, with_fraction_converged=False)->[float]: + """ Finds the generalized Huber locations for many variables at once + Each column of xs represents a different variable whose pseudo-mean will be computed + Thus the result mu might be compared to np.mean(xs, axis=0) + + The function being minimized w.r.t mu is + f(y) = 1/a log( exp(a*(y-mu)) + exp(-(a*(y-mu)) + b ) + and for |y|->0 this has asymptote: + f(y) -> log(2+b)/a + a/(2+b) * (y-mu)^2 + whereas for |y|->infinity + f(y) -> |y-mu| + + This Huber function is not the standard Huber loss https://en.wikipedia.org/wiki/Huber_loss + Rather, it is based on https://arxiv.org/pdf/2108.12627.pdf + + :param xs: (n_samples, n_vars) + :param a: Generalized Huber parameter as per formula above, scalar or (nvars,) + :param b: Generalized Huber parameter as per formula above, scalar or (nvars,) + :return: (n_vars,) location parameters + """ + x_median = np.median(xs, axis=0) + x_mean = np.mean(xs, axis=0) + lb = np.where(x_median < x_mean, x_median, x_mean)-0.01 + ub = np.where(x_median > x_mean, x_median, x_mean)+0.01 + x0 = 0.75*lb+0.25*ub + flb = huber_deriv(lb,a,b,xs) + fub = huber_deriv(ub,a,b,xs) + mu = newton(func=huber_deriv, x0=x0, args=(a, b, xs), tol=1e-6, rtol=1e-4 ) + return mu + + +def huber_deriv(mu, a, b, xs): + """ Derivative of generalized Huber loss w.r.t. mu + + f'(y) = 1/a log( exp(a*(y-mu)) + exp(-(a*(y-mu)) + b ) + + :param mu: (n_samples,) # Vector of location parameters + :param xs : (n_samples,n_vars) # Data + :param a: Generalized Huber parameter(s) + :param b: Generalized Huber parameter(s) + :return: + """ + n_samples, n_vars = np.shape(xs) + mu_rep = np.tile(np.atleast_2d(mu), (n_samples,1)) + y = xs - mu_rep + chain_rule = -1.0 + numer = np.exp(np.dot(y,a) ) - np.exp(-np.dot(a,y)) # (n_samples, n_params) + denom = numer + b + gradient = chain_rule*numer/denom + return np.mean(gradient,axis=0) + + +def huber_abs_error(mu, a, b, xs): + """ Generalized Huber loss which is "like" abs error, as it approaches |y-mu| as |y-mu|-> infinity + f(y) = 1/a log( exp(a*(y-mu)) + exp(-(a*(y-mu)) + b ) + """ + n_samples, n_vars = np.shape(xs) + mu_rep = np.tile(np.atleast_2d(mu), (n_samples, 1)) + y = xs - mu_rep + numer = np.log(np.exp(np.dot(y, a)) + np.exp(np.dot(a, y)) + b) # (n_samples, n_params) + denom = a + return numer / denom + + +def mean_huber_linear_error(mu, a, b, xs): + """ + This convenience function returns columnwise mean. + """ + f_val = huber_abs_error(mu=mu, a=a, b=b, xs=xs) + return np.mean(f_val, axis=0) + + +def huber_squared_error(mu, a, b, xs): + """ Rescaled generalized Huber loss which is "like" squared error, in + the sense that it approaches (y-mu)^2 as |y-mu|-> 0 + + If + f(y) = 1/a log( exp(a*(y-mu)) + exp(-(a*(y-mu)) + b ) + Then + f(y) -> log(2+b)/a + a/(2+b) * y^2 as y->0 + by Taylor. So we define + g(y) := ( f(y) - log(2+b)/a ) * (2+b)/a + + """ + f = huber_abs_error(mu=mu,a=a,b=b,xs=xs) + c = math.log(2 + b) / a + d = a / (2 + b) + g = ( f - c ) / d + return g + + +def mean_huber_squared_error(mu, a, b, xs): + """ + This convenience function returns columnwise mean. + """ + f_val = huber_squared_error(mu=mu, a=a, b=b, xs=xs) + return np.mean(f_val, axis=0) + + +def mean_quadratic_error(mu, xs): + """ + Here as a useful comparison to the below + """ + n_samples, n_vars = np.shape(xs) + mu_rep = np.tile(np.atleast_2d(mu), (n_samples, 1)) + y = xs - mu_rep + return np.nanmean(y**2, axis=0) + diff --git a/precise/skaters/locationutil/vectorfunctions.py b/precise/skaters/locationutil/vectorfunctions.py new file mode 100644 index 00000000..f1b4d050 --- /dev/null +++ b/precise/skaters/locationutil/vectorfunctions.py @@ -0,0 +1,34 @@ +import numpy as np + +def normalize(x): + ### See also portfolioutil.portfunctions.normalize_portfolio + if not np.shape(x): + return np.ones_like(x) + try: + return x/sum(x) + except (TypeError, ArithmeticError, RuntimeWarning): + try: + return [xi/sum(x) for xi in x] + except (TypeError, ArithmeticError): + if sum(x)<1e-12: + return x + else: + raise ValueError('??') + + +def scatter(x): + """ + matrix y y^t + """ + x1 = np.atleast_2d(x) + xt = np.transpose(x1) + s = np.dot(xt,x1) + assert np.array_equal( np.shape(s), [len(x),len(x)] ) + return s + + + +if __name__=='__main__': + from pprint import pprint + x = np.random.randn(5) + pprint(scatter(x)) \ No newline at end of file diff --git a/precise/skaters/managers/__init__.py b/precise/skaters/managers/__init__.py new file mode 100644 index 00000000..e69de29b diff --git a/precise/skaters/managers/allmanagers.py b/precise/skaters/managers/allmanagers.py new file mode 100644 index 00000000..bbc4e2f7 --- /dev/null +++ b/precise/skaters/managers/allmanagers.py @@ -0,0 +1,59 @@ +from precise.skaters.managers.weakmanagers import WEAK_LONG_MANAGERS +from precise.skaters.managers.ppomanagers import PPO_LONG_MANAGERS +from precise.skaters.managers.hrpmanagers import HRP_LONG_MANAGERS +from precise.skaters.managers.schurmanagers import SCHUR_LONG_MANAGERS +from precise.skaters.managers.equalmanagers import EQUAL_LONG_MANAGERS +from precise.skaters.managers.ldpmanagers import LDP_LONG_MANAGERS +from precise.skaters.managers.molybogamanagers import MOLYBOGA_LONG_MANGERS +from precise.skaters.managers.slurpmanagers import SLURP_LONG_MANAGERS +from precise.skaters.managers.rpmanagers import RP_LONG_MANAGERS +from tomark import Tomark +import random + +# d0 managers unless otherwise stated + +LONG_MANAGERS = WEAK_LONG_MANAGERS + PPO_LONG_MANAGERS[:100] + HRP_LONG_MANAGERS + \ + SCHUR_LONG_MANAGERS + EQUAL_LONG_MANAGERS + LDP_LONG_MANAGERS \ + + MOLYBOGA_LONG_MANGERS + SLURP_LONG_MANAGERS + RP_LONG_MANAGERS + +RELIABLE_LONG_MANAGERS = [ m for m in LONG_MANAGERS if not 'ppo' in m.__name__] + +LS_MANAGERS = [] +MANAGERS = LONG_MANAGERS + LS_MANAGERS + + + +def manager_from_name(name): + valid = [f for f in MANAGERS if f.__name__ == name] + return valid[0] if len(valid)==1 else None + + +def manager_manifest(): + from precise.whereami import url_from_manager_name + return dict([(f.__name__, url_from_manager_name(f.__name__)) for f in MANAGERS]) + + +def random_cov_skater(): + return random.choice(MANAGERS) + + +def manager_manifest_markdown(): + manifest = manager_manifest() + data = [ {'manager':mgr,'location':url} for mgr, url in manifest.items() ] + markdown = Tomark.table(data) + return markdown + + +def write_manager_manifest(): + from precise.whereami import MANAGER_MANIFEST + markdown = manager_manifest_markdown() + with open(MANAGER_MANIFEST,'wt') as fh: + fh.write(markdown) + + + +if __name__=='__main__': + from pprint import pprint + pprint(manager_manifest()) + write_manager_manifest() + diff --git a/precise/skaters/managers/buyandchoosefactory.py b/precise/skaters/managers/buyandchoosefactory.py new file mode 100644 index 00000000..5f737731 --- /dev/null +++ b/precise/skaters/managers/buyandchoosefactory.py @@ -0,0 +1,85 @@ + +import math +from precise.skaters.locationutil.vectorfunctions import normalize +from copy import deepcopy +import numpy as np + + +def index_of_closest(w, ws): + l1s = [ sum(abs(np.array(w)-np.array(wsi))) for wsi in ws ] + return l1s.index(min(l1s)) + + +def buy_and_choose_manager_factory(mgr, j:int, y, s:dict, e=1000, q=1.0, n_seed=5): + """ Every j data points, call mgr repeatedly with identical state then most q towards closest weights + This won't have any effect on purely deterministic managers, except to slow them down + However stochastic managers might benefit, as might others who anticipate an obscure + convention: namely the receipt of a 'choose_hint' field in the state + + For this to make any sense, 'y' must be changes in log prices. + For this to be efficient, the manager must respect the "e" convention. That is, the + manager must do little work when e<0 + + :param mgr: + :param j: + :param y: + :param s: State + :param q: New portfolio is q*w + (1-q)*w_prev + :param n_seed Number of times to call the manager repeatedly with (almost) the same state + :param mgr_kwargs: + :return: w Portfolio weights + """ + if s.get('w') is None: + # Initialization + s['count'] = 0 + s_mgr = {} + w, s_mgr = mgr(y=y, s=s_mgr, e=1000) + s['s_mgr'] = s_mgr + s['w'] = w + return w, s + else: + s['count'] = s['count']+1 + if s['count'] % j == 0: + # Sporadically use the manager repeatedly. + + w_prev = s['w'] + w_roll = normalize([wi * math.exp(yi) for wi, yi in zip(w_prev, y)]) + + w_mgrs = list() + for l in range(n_seed): + s_mgr = deepcopy(s['s_mgr']) + + # Drop a hint to the manager, just in case it is alert + # to this obscure convention. If by chance these fields + # already exist, don't clobber + if '_seed' in s_mgr or '_seed_max' in s_mgr: + raise ValueError('Warning: managers uses a _seed field so is not compatible with buy_and_choose_manager_factory') + else: + s_mgr['_seed'] = l + s_mgr['_seed_max'] = n_seed - 1 + + w_mgr, s_mgr = mgr(y=y, s=s_mgr, e=1000) + w_mgrs.append(w_mgr) + # Use the last call to set new manager state. + s['s_mgr'] = s_mgr + + # Now select the closest weights in L1-norm to the current portfolio + pos = index_of_closest(w_roll,w_mgrs) + w_mgr = w_mgrs[pos] + + # Then move towards it. + w = [ wi*q + (1-q)*wpi for wi, wpi in zip(w_mgr, w_roll) ] + s['w'] = [wi for wi in w] + return w, s + else: + # Tell the manager not to worry too much about this data point, as the weights won't be used ... + s_mgr = s['s_mgr'] + _ignore_w, s_mgr = mgr(y=y, s=s_mgr, e=-1) + s['s_mgr'] = s_mgr + # ... instead we let it ride + w_prev = s['w'] + w = normalize( [ wi*math.exp(yi) for wi,yi in zip(w_prev,y)] ) + s['w'] = [wi for wi in w] + return w, s + + diff --git a/precise/skaters/managers/buyandholdfactory.py b/precise/skaters/managers/buyandholdfactory.py new file mode 100644 index 00000000..fdb4adee --- /dev/null +++ b/precise/skaters/managers/buyandholdfactory.py @@ -0,0 +1,51 @@ +import math +from precise.skaters.locationutil.vectorfunctions import normalize + + +def buy_and_hold_manager_factory(mgr, j: int, y, s: dict, e=1000, q=1.0): + """ Ignores manager preference except every j data points + + For this to make any sense, 'y' must be changes in log prices. + For this to be efficient, the manager must respect the "e" convention. That is, the + manager must do little work when e<0 + + :param mgr: + :param j: + :param y: + :param s: State + :param q: New portfolio is q*w + (1-q)*w_prev + :param mgr_kwargs: + :return: w Portfolio weights + """ + # Warning this is not tested. Most buy and hold managers use the cov_manager instead + + if s.get('w') is None: + # Initialization + s['count'] = 0 + s_mgr = {} + w, s_mgr = mgr(y=y, s=s_mgr, e=e) + s['s_mgr'] = s_mgr + s['w'] = w + return w, s + else: + s['count'] = s['count'] + 1 + if s['count'] % j == 0: + # Sporadically use the manager + s_mgr = s['s_mgr'] + w_mgr, s_mgr = mgr(y=y, s=s_mgr, e=e) + s['s_mgr'] = s_mgr + w_prev = s['w'] + w_roll = normalize([wi * math.exp(yi) for wi, yi in zip(w_prev, y)]) + w = [wi * q + (1 - q) * wpi for wi, wpi in zip(w_mgr, w_roll)] + s['w'] = [wi for wi in w] + return w, s + else: + # Tell the manager not to worry too much about this data point, as the weights won't be used ... + s_mgr = s['s_mgr'] + _ignore_w, s_mgr = mgr(y=y, s=s_mgr, e=-1) + s['s_mgr'] = s_mgr + # ... instead we just hold the assets + w_prev = s['w'] + w = normalize([wi * math.exp(yi) for wi, yi in zip(w_prev, y)]) + s['w'] = [wi for wi in w] + return w, s diff --git a/precise/skaters/managers/covmanagerfactory.py b/precise/skaters/managers/covmanagerfactory.py new file mode 100644 index 00000000..cae7dbe0 --- /dev/null +++ b/precise/skaters/managers/covmanagerfactory.py @@ -0,0 +1,165 @@ +from precise.skaters.portfoliostatic.equalport import equal_long_port +import math +from precise.skaters.locationutil.vectorfunctions import normalize +from precise.skaters.portfolioutil.zetaport import zeta_port +from precise.skaters.portfolioutil.portgeometry import closest_weak_l1, closest_point_l1 + + +# A family of managers characterized as follows: +# +# 1. They maintain online estimates of covariancecomparisonutil +# 2. Periodic application of a static portfolio method (or multiple, or repeated). +# 3. An ad-hoc compromise between adjusting to new weights versus trading cost. +# +# In this context one can employ: +# - Any skater in precise.skaters.covariancecomparisonutil +# - Any portfolio methods in precise.skaters.portfoliostatic +# +# See examples in precise.managers.ppomanagers, rpmanagers, weakmanagers etc + + +def closest_random_nudge(port, cov, q, l, w, port_kwargs, zeta=None): + """ Apply portfolio method l times, then choose the closest to w or some convex combo + + :param l: Number of times to apply port, (presumably port is stochastic) + We allow l=None to treat the case l=1 separately, just as a little check + Also: if l is odd --> use convex hull + if l is even --> just use closest point + + :param q: How far to move towards target + :param zeta: Just here for the heck of it. Set to anything other than None or zero at your peril. + + :param cov: + :param port: Function taking cov, ***port_kwargs -> w + :param port_kwargs: Additional params to port + :param w: Previous portfolio + + """ + + if l is None: + w_target = zeta_port(port=port, cov=cov, zeta=zeta, **port_kwargs) # <-- just port(cov,**port_kwargs) usually + else: + # Run port several times + w_ports = list() + for _ in range(l): + w_ = zeta_port(port=port, cov=cov, zeta=zeta, **port_kwargs) + w_ports.append(w_) + + # Find a portfolio near to w + if (l is not None) and (l >= 3) and is_odd(l): + w_target = closest_weak_l1(origin=w, xs=w_ports, verbose=False) + else: + w_target = closest_point_l1(origin=w, xs=w_ports) + + w = [q * wi + (1 - q) * wpi for wi, wpi in zip(w_target, w)] + return w + + +def is_odd(l): + return (l % 2) == 1 + + +def _periodic_nudge(port, j: int, y, s: dict, cov, port_kwargs, nudger, **nudger_kwargs): + """ + :param nudger: A method of producing a portfolio using the prior one + See closest_random_nudge above for example + + nudger_kwargs: For the default nudger, + l - Number of times to call port + q - Distance to move towards target + zeta - Optional compromise with corr versus cov + """ + + n_dim = len(y) + if s.get('w') is None: + s['multiplier'] = [1 for _ in range(n_dim)] + s['count'] = 0 + w = port(cov=cov, **port_kwargs) + s['w'] = [wi for wi in w] + return w, s + else: + s['count'] = s['count'] + 1 + if s['count'] % j == 0: + # Compute roll forward weights + s['multiplier'] = [mi * math.exp(yi) for mi, yi in zip(s['multiplier'], y)] + w_roll = normalize([wi * mi for wi, mi in zip(s['w'], s['multiplier'])]) + + # Move towards new target, informed by port + w = nudger(port=port, cov=cov, w=w_roll, port_kwargs=port_kwargs, **nudger_kwargs) + + # Save state needed + s['w'] = [wi for wi in w] + s['multiplier'] = [1 for _ in range(n_dim)] + return w, s + else: + # Let it ride + s['multiplier'] = [mi * math.exp(yi) for mi, yi in zip(s['multiplier'], y)] + w = normalize([wi * mi for wi, mi in zip(s['w'], s['multiplier'])]) + return w, s + + +def static_cov_manager_factory_d0(y, s, f, port, e=1, f_kwargs: dict = None, port_kwargs: dict = None, n_cold=5, j=1, + nudger=None, **nudger_kwargs): + """ + A family of managers characterized as follows: + + 1. They maintain online estimates of covariancecomparisonutil + 2. Periodic application of a static portfolio method (or multiple, or repeated) to determine a new target composition + 3. An ad-hoc compromise between the new target and trading cost, here refered to as "nudging" + + In this context one can employ: + - Any skater in precise.skaters.covariancecomparisonutil + - Any portfolio methods in precise.skaters.portfoliostatic + - Any nudging method + + Typical usage with default nudger: + + static_cov_manager_factory_d0(y, s, f, port, e=1, f_kwargs, port_kwargs, n_cold=5, j=1, q=0.1, l=5) + l: how many times to repeatedly run the static portfolio construction + q: how far to move towards the target + + See examples in precise.managers.ppomanagers, rpmanagers, weakmanagers etc + + Financial remark: This is at the moment a basic manager pattern ignoring mean. + If you have opinions on means, you'll have to incorporate them into variance somehow via a covariancecomparisonutil skater you modify. + + :param f cov skater ("d0" hints that it expects to receive *changes* in log(price) so won't do any differencing itself) + :param port portfolio constructor + :param j How often to run the static portfolio construction. + (Remark: if j>1 this will be nonsense unless 'y' represents changes in log prices) + :param nudger Any method of producing a portfolio using the prior one. See closest_random_nudge above for an example + :params **nudger_kwargs For the default stochastic nudger we use + l: how many times to repeatedly run the static portfolio construction + q: how far to move towards the target + zeta: how far to shrink towards corr port (default 0) + + :returns w, s + """ + + if f_kwargs is None: + f_kwargs = {} + if port_kwargs is None: + port_kwargs = {} + if nudger is None: + nudger = closest_random_nudge + assert 'q' in nudger_kwargs, 'You probably forgot to supply q ' + if not 'l' in nudger_kwargs: + nudger_kwargs['l'] = None + + if not s: + s = {'f_state': {}, + 'port_state': {}, + 'count': 0, + 'account_state': {}} + + x_mean, x_cov, s['f_state'] = f(y=y, s=s['f_state'], k=1, e=e, **f_kwargs) + s['count'] += 1 + if s['count'] >= n_cold and (e > 0): + s_account = s['account_state'] + w, s_account = _periodic_nudge(port=port, y=y, j=j, s=s_account, cov=x_cov, port_kwargs=port_kwargs, + nudger=nudger, **nudger_kwargs) + s['account_state'] = s_account + + else: + w = equal_long_port(cov=x_cov) + return w, s diff --git a/precise/skaters/managers/equalmanagers.py b/precise/skaters/managers/equalmanagers.py new file mode 100644 index 00000000..b5528cfd --- /dev/null +++ b/precise/skaters/managers/equalmanagers.py @@ -0,0 +1,34 @@ +import numpy as np +from precise.skaters.managers.covmanagerfactory import static_cov_manager_factory_d0 +from precise.skaters.portfoliostatic.equalport import equal_long_port +from precise.skaters.covariance.identity import identity_scov +from precise.skaters.managers.buyandholdfactory import buy_and_hold_manager_factory + +# Two different implementations of a manager that steers towards equal weighted portfolios + + +def equal_long_manager(y, s, k=1, e=1, zeta=None, j=1,q=1.0): + """ Periodically sets all portfolio weights equal + + j Recomputation frequency + q Fraction of new versus old + + """ + return static_cov_manager_factory_d0(y=y, s=s, f=identity_scov, port=equal_long_port, e=e, n_cold=0, zeta=zeta, j=j, q=q) + + +def equal_check_long_manager(y, s, k=1, e=1, zeta=None, j=1, q=1.0): + """ Same as above but with a different implementation """ + return buy_and_hold_manager_factory(mgr=_equivalence_long_manager, j=j, q=q, y=y, s=s) + + +def _equivalence_long_manager(y, s, k=1, e=1, zeta=None, j=None, q=None): + """ Always sets weight equal """ + n_dim = len(y) + w = np.ones(n_dim) / n_dim + return w, {} + + +EQUAL_LONG_MANAGERS = [equal_long_manager, equal_check_long_manager] +EQUAL_LS_MANAGERS = [] +EQUAL_MANAGERS = EQUAL_LONG_MANAGERS + EQUAL_LS_MANAGERS diff --git a/precise/skaters/managers/hrpmanagers.py b/precise/skaters/managers/hrpmanagers.py new file mode 100644 index 00000000..3ebeb72a --- /dev/null +++ b/precise/skaters/managers/hrpmanagers.py @@ -0,0 +1,111 @@ +from precise.skaters.managers.schurmanagerfactory import schur_weak_weak_pm_manager_factory + +# Some additional Hierarchical Risk-Parity managers that seem to do okay +# (i.e. Schur managers with gamma=delta=0,j=j,q=q) + +from precise.inclusion.pyportfoliooptinclusion import using_pyportfolioopt +from precise.inclusion.riskparityportfolioinclusion import using_riskparityportfolio + + +def hrp_weak_weak_pm_t0_d0_r025_n50_s5_long_manager(y, s, k=1, e=1, j=1, q=1.0): + assert k == 1 + return schur_weak_weak_pm_manager_factory(y=y, s=s, target=0, r=0.025, n_emp=50, n_split=5, e=e, gamma=0, delta=0, + j=j, q=q) + + +HRP_LONG_MANAGERS_NOT_USING_PPO = [hrp_weak_weak_pm_t0_d0_r025_n50_s5_long_manager] + +if using_pyportfolioopt: + from precise.skaters.managers.schurmanagerfactory import schur_vol_vol_ewa_manager_factory, \ + schur_weak_vol_ewa_manager_factory, schur_vol_weak_ewa_manager_factory + + + def hrp_vol_vol_pm_t0_d0_r025_n50_s5_long_manager(y, s, k=1, e=1, j=1, q=1.0): + assert k == 1 + return schur_vol_vol_ewa_manager_factory(y=y, s=s, r=0.025, n_emp=50, n_split=5, e=e, gamma=0, delta=0, j=j, + q=q) + + + def hrp_vol_vol_pm_t0_d0_r025_n50_s50_long_manager(y, s, k=1, e=1, j=1, q=1.0): + assert k == 1 + return schur_vol_vol_ewa_manager_factory(y=y, s=s, r=0.025, n_emp=50, n_split=50, e=e, gamma=0, delta=0, j=j, + q=q) + + + def hrp_weak_vol_ewa_r025_n50_s50_long_manager(y, s, k=1, e=1, j=1, q=1.0): + assert k == 1 + return schur_weak_vol_ewa_manager_factory(y=y, s=s, r=0.025, n_emp=50, n_split=50, e=e, gamma=0, delta=0, j=j, + q=q) + + + def hrp_weak_vol_ewa_r025_n50_s50_l10_long_manager(y, s, k=1, e=1, j=1, q=1.0): + assert k == 1 + return schur_weak_vol_ewa_manager_factory(y=y, s=s, r=0.025, n_emp=50, n_split=50, e=e, gamma=0, delta=0, j=j, + q=q, + l=10) + + + def hrp_weak_vol_ewa_r001_n200_s50_l100_long_manager(y, s, k=1, e=1, j=1, q=1.0): + assert k == 1 + return schur_weak_vol_ewa_manager_factory(y=y, s=s, r=0.001, n_emp=200, n_split=50, e=e, gamma=0, delta=0, j=j, + q=q, + l=100) + + + # Some l=21 managers + + def hrp_weak_vol_ewa_r001_n200_s5_l21_long_manager(y, s, k=1, e=1, j=1, q=1.0): + assert k == 1 + return schur_weak_vol_ewa_manager_factory(y=y, s=s, r=0.001, n_emp=200, n_split=5, e=e, gamma=0, delta=0, j=j, + q=q, + l=21) + + + def hrp_weak_vol_ewa_r001_n200_s50_l21_long_manager(y, s, k=1, e=1, j=1, q=1.0): + assert k == 1 + return schur_weak_vol_ewa_manager_factory(y=y, s=s, r=0.001, n_emp=200, n_split=50, e=e, gamma=0, delta=0, j=j, + q=q, + l=21) + + + def hrp_weak_vol_ewa_r001_n200_s50_g050_l21_long_manager(y, s, k=1, e=1, j=1, q=1.0): + assert k == 1 + return schur_weak_vol_ewa_manager_factory(y=y, s=s, r=0.001, n_emp=200, n_split=50, e=e, gamma=0.5, delta=0, + j=j, + q=q, l=21) + + + def hrp_vol_weak_ewa_r001_n200_s50_l21_long_manager(y, s, k=1, e=1, j=1, q=1.0): + assert k == 1 + return schur_vol_weak_ewa_manager_factory(y=y, s=s, e=e, r=0.01, n_split=50, n_emp=200, gamma=0.0, delta=0, + zeta=0, + j=j, q=q, l=21) + + + def hrp_vol_weak_ewa_r001_n200_s50_g050_l21_long_manager(y, s, k=1, e=1, j=1, q=1.0): + assert k == 1 + return schur_vol_weak_ewa_manager_factory(y=y, s=s, e=e, r=0.01, n_split=50, n_emp=200, gamma=0.5, delta=0, + zeta=0, + j=j, q=q, l=21) + + + HRP_LONG_MANAGERS_USING_PPO = [hrp_vol_vol_pm_t0_d0_r025_n50_s5_long_manager, + hrp_vol_vol_pm_t0_d0_r025_n50_s50_long_manager, + hrp_weak_vol_ewa_r025_n50_s50_long_manager, + hrp_weak_vol_ewa_r025_n50_s50_l10_long_manager] + + HRP_21_LONG_MANGERS_USING_PPO = [hrp_weak_vol_ewa_r001_n200_s50_l21_long_manager, + hrp_weak_vol_ewa_r001_n200_s50_g050_l21_long_manager, + hrp_vol_weak_ewa_r001_n200_s50_l21_long_manager, + hrp_vol_weak_ewa_r001_n200_s50_g050_l21_long_manager] + +else: + HRP_LONG_MANAGERS_USING_PPO = [] + HRP_21_LONG_MANGERS_USING_PPO = [] + +HRP_LONG_MANAGERS = HRP_LONG_MANAGERS_NOT_USING_PPO + \ + HRP_LONG_MANAGERS_USING_PPO + \ + HRP_21_LONG_MANGERS_USING_PPO + +HRP_LS_MANAGERS = [] +HRP_MANAGERS = HRP_LONG_MANAGERS + HRP_LS_MANAGERS diff --git a/precise/skaters/managers/ldpmanagers.py b/precise/skaters/managers/ldpmanagers.py new file mode 100644 index 00000000..33dd6fd6 --- /dev/null +++ b/precise/skaters/managers/ldpmanagers.py @@ -0,0 +1,63 @@ +from precise.skaters.managers.schurmanagerfactory import schur_diag_diag_buf_emp_manager_factory + # Note: Could also consider more based on schur_vol_vol_ewa_manager_factory + +# Stands for Lopez de Prado +# Some Hierarchical Risk-Parity managers very loosely based on some literature +# (Note that seriation may be different so this is not supposed to be a replica) + + +def ldp_s2_n50_long_manager(y, s, k=1, e=1, j=1, q=1.0): + assert k == 1 + return schur_diag_diag_buf_emp_manager_factory(y=y, s=s, n_buffer=50, e=e, gamma=0, delta=0, j=j, q=q, n_split=2) + + +def ldp_s5_n50_long_manager(y, s, k=1, e=1, j=1, q=1.0): + assert k == 1 + return schur_diag_diag_buf_emp_manager_factory(y=y, s=s, n_buffer=50, e=e, gamma=0, delta=0, j=j, q=q, n_split=5) + + +def ldp_s25_n50_long_manager(y, s, k=1, e=1, j=1, q=1.0): + assert k == 1 + return schur_diag_diag_buf_emp_manager_factory(y=y, s=s, n_buffer=50, e=e, gamma=0, delta=0, j=j, q=q, n_split=25) + + +def ldp_s5_n100_long_manager(y, s, k=1, e=1, j=1, q=1.0): + assert k == 1 + return schur_diag_diag_buf_emp_manager_factory(y=y, s=s, n_buffer=100, e=e, gamma=0, delta=0, j=j, q=q, n_split=5) + + +def ldp_s25_n100_long_manager(y, s, k=1, e=1, j=1, q=1.0): + assert k == 1 + return schur_diag_diag_buf_emp_manager_factory(y=y, s=s, n_buffer=100, e=e, gamma=0, delta=0, j=j, q=q, n_split=25) + + +# Conv hull managers + +def ldp_s2_n200_l5_long_manager(y, s, k=1, e=1, j=1, q=1.0): + assert k == 1 + return schur_diag_diag_buf_emp_manager_factory(y=y, s=s, n_buffer=100, e=e, gamma=0, delta=0, j=j, q=q, l=5, n_split=2) + + +def ldp_s5_n200_l5_long_manager(y, s, k=1, e=1, j=1, q=1.0): + assert k == 1 + return schur_diag_diag_buf_emp_manager_factory(y=y, s=s, n_buffer=100, e=e, gamma=0, delta=0, j=j, q=q, l=5, n_split=5) + + +def ldp_s5_n200_l21_long_manager(y, s, k=1, e=1, j=1, q=1.0): + assert k == 1 + return schur_diag_diag_buf_emp_manager_factory(y=y, s=s, n_buffer=100, e=e, gamma=0, delta=0, j=j, q=q, l=21, n_split=5) + + +def ldp_s100_n200_l21_long_manager(y, s, k=1, e=1, j=1, q=1.0): + assert k == 1 + return schur_diag_diag_buf_emp_manager_factory(y=y, s=s, n_buffer=100, e=e, gamma=0, delta=0, j=j, q=q, l=21, n_split=100) + + + + +LDP_LONG_MANAGERS = [ldp_s2_n50_long_manager, ldp_s5_n50_long_manager, ldp_s25_n50_long_manager, + ldp_s5_n100_long_manager, ldp_s25_n100_long_manager, + ldp_s5_n200_l5_long_manager, ldp_s5_n200_l21_long_manager, + ldp_s100_n200_l21_long_manager, ldp_s2_n200_l5_long_manager] +HRP_LS_NAMED_MANAGERS = [] +HRP_NAMED_MANAGERS = LDP_LONG_MANAGERS + HRP_LS_NAMED_MANAGERS diff --git a/precise/skaters/managers/molybogamanagerfactory.py b/precise/skaters/managers/molybogamanagerfactory.py new file mode 100644 index 00000000..69ec57d8 --- /dev/null +++ b/precise/skaters/managers/molybogamanagerfactory.py @@ -0,0 +1,38 @@ +from precise.inclusion.pyportfoliooptinclusion import using_pyportfolioopt + +if using_pyportfolioopt: + from precise.skaters.managers.covmanagerfactory import static_cov_manager_factory_d0 + from precise.skaters.covariance.ewalwfactory import ewa_lw_scov_factory + from precise.skaters.portfoliostatic.schurportfactory import schur_portfolio_factory + from functools import partial + from precise.skaters.portfoliostatic.volalloc import vol_allocation_factory + from precise.skaters.portfoliostatic.ppoportfactory import ppo_vol_port + + def molyboga_manager_factory(y, s, e, r, n_split=5, gamma=0.0, delta=0, zeta=0,j=1,q=1.0): + """ + Schur with vol allocation and + min-vol portfolio construction + using expon weighted cov estimation + with LD shrinkage + + r - decay used in LD cov estimation + + a, b - weak coefs used at leaf + + https://papers.ssrn.com/sol3/papers.cfm?abstract_id=3588908 + This paper introduces a Modified Hierarchical Risk Parity ("MHRP") approach that extends the HRP approach + by incorporating three intuitive elements commonly used by practitioners. The new approach (i) replaces the + sample covariancecomparisonutil matrix with an exponentially weighted covariancecomparisonutil matrix with Ledoit-Wolf shrinkage, + (ii) improves diversification across portfolio constituents both within and across clusters by relying + on an equal volatility, rather than an inverse variance, allocation approach, and (iii) improves + diversification across time by applying volatility targeting to portfolios. + + (Note that this implementation generalizes on that of Marat Molyboga due to the optional introduction of Schur + complements. Just set gamma=delta=0 for something close to the spirit of that paper). + + """ + f = partial(ewa_lw_scov_factory, k=1, r=r) + alloc = partial( vol_allocation_factory ) + leaf_port = partial( ppo_vol_port ) + sch_port = partial( schur_portfolio_factory, alloc=alloc, port=leaf_port, n_split=n_split, gamma=gamma, delta=delta) + return static_cov_manager_factory_d0(f=f, port=sch_port, y=y, s=s, e=e, zeta=zeta,j=j,q=q) diff --git a/precise/skaters/managers/molybogamanagers.py b/precise/skaters/managers/molybogamanagers.py new file mode 100644 index 00000000..d9dca690 --- /dev/null +++ b/precise/skaters/managers/molybogamanagers.py @@ -0,0 +1,143 @@ +from precise.inclusion.pyportfoliooptinclusion import using_pyportfolioopt + +if using_pyportfolioopt: + + from precise.skaters.managers.molybogamanagerfactory import molyboga_manager_factory + + + # A Modified Hierarchical Risk Parity Framework for Portfolio Management + # Inspired by Marat Molyboga + # https://jfds.pm-research.com/content/early/2020/07/03/jfds.2020.1.038 + + + def molyboga_r025_s2_gamma000_long_manager(y, s, k=1, e=1,j=1,q=1.0): + return molyboga_manager_factory(y=y, s=s, r=0.025, e=e, gamma=0, delta=0,j=j,q=q, n_split=2) + + + def molyboga_r001_s2_gamma000_long_manger(y, s, k=1, e=1,j=1,q=1.0): + return molyboga_manager_factory(y=y, s=s, r=0.01, e=e, gamma=0, delta=0,j=j,q=q, n_split=2) + + + def molyboga_r025_s5_gamma000_long_manager(y, s, k=1, e=1,j=1,q=1.0): + return molyboga_manager_factory(y=y, s=s, r=0.025, e=e, gamma=0, delta=0,j=j,q=q, n_split=5) + + + def molyboga_r001_s5_gamma000_long_manger(y, s, k=1, e=1,j=1,q=1.0): + return molyboga_manager_factory(y=y, s=s, r=0.01, e=e, gamma=0, delta=0,j=j,q=q, n_split=5) + + + def molyboga_r025_s25_gamma000_long_manager(y, s, k=1, e=1,j=1,q=1.0): + return molyboga_manager_factory(y=y, s=s, r=0.025, e=e, gamma=0, delta=0,j=j,q=q, n_split=25) + + + def molyboga_r001_s25_gamma000_long_manger(y, s, k=1, e=1,j=1,q=1.0): + return molyboga_manager_factory(y=y, s=s, r=0.01, e=e, gamma=0, delta=0,j=j,q=q, n_split=25) + + + def molyboga_r025_s100_gamma000_long_manager(y, s, k=1, e=1,j=1,q=1.0): + return molyboga_manager_factory(y=y, s=s, r=0.025, e=e, gamma=0, delta=0,j=j,q=q,n_split=100) + + + def molyboga_r001_s100_gamma000_long_manger(y, s, k=1, e=1,j=1,q=1.0): + return molyboga_manager_factory(y=y, s=s, r=0.01, e=e, gamma=0, delta=0,j=j,q=q, n_split=100) + + + MOLYBOGA_GAMMA000_LONG_MANAGERS = [molyboga_r025_s2_gamma000_long_manager, + molyboga_r001_s2_gamma000_long_manger, + molyboga_r025_s5_gamma000_long_manager, + molyboga_r001_s5_gamma000_long_manger, + molyboga_r025_s25_gamma000_long_manager, + molyboga_r001_s25_gamma000_long_manger, + molyboga_r025_s100_gamma000_long_manager, + molyboga_r001_s100_gamma000_long_manger] + + + def molyboga_r025_s2_gamma100_long_manager(y, s, k=1, e=1,j=1,q=1.0): + return molyboga_manager_factory(y=y, s=s, r=0.025, e=e, gamma=1.0, delta=0,j=j,q=q, n_split=2) + + + def molyboga_r001_s2_gamma100_long_manger(y, s, k=1, e=1,j=1,q=1.0): + return molyboga_manager_factory(y=y, s=s, r=0.01, e=e, gamma=1.0, delta=0,j=j,q=q, n_split=2) + + + def molyboga_r025_s5_gamma100_long_manager(y, s, k=1, e=1,j=1,q=1.0): + return molyboga_manager_factory(y=y, s=s, r=0.025, e=e, gamma=1.0, delta=0,j=j,q=q, n_split=5) + + + def molyboga_r001_s5_gamma100_long_manger(y, s, k=1, e=1,j=1,q=1.0): + return molyboga_manager_factory(y=y, s=s, r=0.01, e=e, gamma=1.0, delta=0,j=j,q=q, n_split=5) + + + def molyboga_r025_s25_gamma100_long_manager(y, s, k=1, e=1,j=1,q=1.0): + return molyboga_manager_factory(y=y, s=s, r=0.025, e=e, gamma=1.0, delta=0,j=j,q=q, n_split=25) + + def molyboga_r001_s25_gamma100_long_manger(y, s, k=1, e=1,j=1,q=1.0): + return molyboga_manager_factory(y=y, s=s, r=0.01, e=e, gamma=1.0, delta=0,j=j,q=q, n_split=25) + + + def molyboga_r025_s100_gamma100_long_manager(y, s, k=1, e=1,j=1,q=1.0): + return molyboga_manager_factory(y=y, s=s, r=0.025, e=e, gamma=1.0, delta=0,j=j,q=q, n_split=100) + + + def molyboga_r001_s100_gamma100_long_manger(y, s, k=1, e=1,j=1,q=1.0): + return molyboga_manager_factory(y=y, s=s, r=0.01, e=e, gamma=1.0, delta=0,j=j,q=q, n_split=100) + + + MOLYBOGA_GAMMA100_LONG_MANAGERS = [molyboga_r025_s2_gamma100_long_manager, + molyboga_r001_s2_gamma100_long_manger, + molyboga_r025_s5_gamma100_long_manager, + molyboga_r001_s5_gamma100_long_manger, + molyboga_r025_s25_gamma100_long_manager, + molyboga_r001_s25_gamma100_long_manger, + molyboga_r025_s100_gamma100_long_manager, + molyboga_r001_s100_gamma100_long_manger] + + + def molyboga_r025_s2_gamma020_long_manager(y, s, k=1, e=1,j=1,q=1.0): + return molyboga_manager_factory(y=y, s=s, r=0.025, e=e, gamma=1.0, delta=0,j=j,q=q, n_split=2) + + + def molyboga_r001_s2_gamma020_long_manger(y, s, k=1, e=1,j=1,q=1.0): + return molyboga_manager_factory(y=y, s=s, r=0.01, e=e, gamma=1.0, delta=0,j=j,q=q, n_split=2) + + + + def molyboga_r025_s5_gamma020_long_manager(y, s, k=1, e=1,j=1,q=1.0): + return molyboga_manager_factory(y=y, s=s, r=0.025, e=e, gamma=1.0, delta=0,j=j,q=q, n_split=5) + + + def molyboga_r001_s5_gamma020_long_manger(y, s, k=1, e=1,j=1,q=1.0): + return molyboga_manager_factory(y=y, s=s, r=0.01, e=e, gamma=1.0, delta=0,j=j,q=q, n_split=5) + + + def molyboga_r025_s25_gamma020_long_manager(y, s, k=1, e=1,j=1,q=1.0): + return molyboga_manager_factory(y=y, s=s, r=0.025, e=e, gamma=1.0, delta=0,j=j,q=q, n_split=25) + + + def molyboga_r001_s25_gamma020_long_manger(y, s, k=1, e=1,j=1,q=1.0): + return molyboga_manager_factory(y=y, s=s, r=0.01, e=e, gamma=1.0, delta=0,j=j,q=q, n_split=25) + + + def molyboga_r025_s100_gamma020_long_manager(y, s, k=1, e=1,j=1,q=1.0): + return molyboga_manager_factory(y=y, s=s, r=0.025, e=e, gamma=1.0, delta=0,j=j,q=q, n_split=100) + + + def molyboga_r001_s100_gamma020_long_manger(y, s, k=1, e=1,j=1,q=1.0): + return molyboga_manager_factory(y=y, s=s, r=0.01, e=e, gamma=1.0, delta=0,j=j,q=q, n_split=100) + + + MOLYBOGA_GAMMA020_LONG_MANAGERS = [molyboga_r025_s2_gamma020_long_manager, + molyboga_r001_s2_gamma020_long_manger, + molyboga_r025_s5_gamma020_long_manager, + molyboga_r001_s5_gamma020_long_manger, + molyboga_r025_s25_gamma020_long_manager, + molyboga_r001_s25_gamma020_long_manger, + molyboga_r025_s100_gamma020_long_manager, + molyboga_r001_s100_gamma020_long_manger] + + + MOLYBOGA_LONG_MANGERS = MOLYBOGA_GAMMA000_LONG_MANAGERS +\ + MOLYBOGA_GAMMA020_LONG_MANAGERS +\ + MOLYBOGA_GAMMA100_LONG_MANAGERS +else: + MOLYBOGA_LONG_MANGERS =[] diff --git a/precise/skaters/managers/ppomanagerfactory.py b/precise/skaters/managers/ppomanagerfactory.py new file mode 100644 index 00000000..c2026b57 --- /dev/null +++ b/precise/skaters/managers/ppomanagerfactory.py @@ -0,0 +1,40 @@ +from precise.skaters.managers.covmanagerfactory import static_cov_manager_factory_d0 +from precise.skaters.covariance.ewapm import ewa_pm_factory, ewa_pm_emp_scov_r01_n100 +from precise.skaters.portfoliostatic.ppoportfactory import ppo_portfolio_factory, PPO_LONG_BOUNDS +from precise.skaters.covariance.ewaempfactory import ewa_emp_pcov_factory +from functools import partial +from precise.inclusion.pyportfoliooptinclusion import using_pyportfolioopt + +if using_pyportfolioopt: + + def ppo_long_manager_factory(y,s, f, method, e=1, zeta=0,j=1,q=1.0): + port = partial(ppo_portfolio_factory, method=method, as_dense=True, weight_bounds=PPO_LONG_BOUNDS) + return static_cov_manager_factory_d0(f=f, port=port, y=y, s=s, e=e, zeta=zeta,j=j,q=q) + + + def ppo_pm_long_manager_factory(y, s, method, target, n_emp, r, e=1, zeta=0,j=1,q=1.0): + """ + PyPortfolioOpt portfolio construction using partial moments cov estimation + """ + f = partial( ewa_pm_factory, k=1,r=r,target=target, n_emp=n_emp ) + port = partial( ppo_portfolio_factory, method=method, as_dense=True, weight_bounds=PPO_LONG_BOUNDS ) + return static_cov_manager_factory_d0(f=f, port=port, y=y, s=s, e=e, zeta=zeta,j=j,q=q) + + + def ppo_ewa_long_manager_factory(y, s, method, n_emp, r, e=1, zeta=0,j=1,q=1.0): + """ + PyPortfolioOpt portfolio construction using EWA cov estimation + """ + f = partial( ewa_emp_pcov_factory, k=1, r=r, n_emp=n_emp ) + port = partial( ppo_portfolio_factory, method=method, as_dense=True, weight_bounds=PPO_LONG_BOUNDS ) + return static_cov_manager_factory_d0(f=f, port=port, y=y, s=s, e=e, zeta=zeta,j=j,q=q) + +else: + def ppo_long_manager_factory(y, s, f, method, e=1, zeta=0, j=1, q=1.0): + raise ImportError('pip install pyportfolioopt') + + def ppo_pm_long_manager_factory(y, s, method, target, n_emp, r, e=1, zeta=0, j=1, q=1.0): + raise ImportError('pip install pyportfolioopt') + + def ppo_ewa_long_manager_factory(y, s, method, n_emp, r, e=1, zeta=0, j=1, q=1.0): + raise ImportError('pip install pyportfolioopt') diff --git a/precise/skaters/managers/ppomanagers.py b/precise/skaters/managers/ppomanagers.py new file mode 100644 index 00000000..46e42113 --- /dev/null +++ b/precise/skaters/managers/ppomanagers.py @@ -0,0 +1,120 @@ +from precise.skaters.managers.ppomanagerfactory import ppo_ewa_long_manager_factory, ppo_pm_long_manager_factory, ppo_long_manager_factory +from precise.skaters.covariance.bufsk import buf_sk_glcv_pcov_d0_n100, buf_sk_glcv_pcov_d0_n100_t0, buf_sk_lw_pcov_d0_n100, buf_sk_mcd_pcov_d0_n100 +from precise.inclusion.pyportfoliooptinclusion import using_pyportfolioopt + + +if using_pyportfolioopt: + # PyPortfolioOpt managers + + def ppo_pm_t0_d0_r025_n50_vol_long_manager(y, s, k=1, e=1,j=1,q=1.0): + assert k == 1 + return ppo_pm_long_manager_factory(y=y, s=s, method='min_volatility', target=0, e=e, j=j,r=0.025,n_emp=50,q=q) + + + def ppo_ewa_d0_r025_n50_vol_long_manager(y, s, k=1, e=1,j=1,q=1.0): + assert k == 1 + return ppo_ewa_long_manager_factory(y=y, s=s, method='min_volatility', e=e, j=j,r=0.025,n_emp=50,q=q) + + + def ppo_pm_t0_d0_r025_n50_quad_long_manager(y, s, k=1, e=1,j=1,q=1.0): + assert k == 1 + return ppo_pm_long_manager_factory(y=y, s=s, method='max_quadratic_utility', target=0, e=e, j=j,r=0.025,n_emp=50,q=q) + + + def ppo_ewa_d0_r025_n50_quad_long_manager(y, s, k=1, e=1,j=1,q=1.0): + assert k == 1 + return ppo_ewa_long_manager_factory(y=y, s=s, method='max_quadratic_utility', e=e, j=j,r=0.025,n_emp=50,q=q) + + + def ppo_pm_t0_d0_r025_n50_sharpe_long_manager(y, s, k=1, e=1,j=1,q=1.0): + assert k == 1 + return ppo_pm_long_manager_factory(y=y, s=s, method='max_sharpe', target=0, e=e, j=j,r=0.025,n_emp=50,q=q) + + + def ppo_ewa_d0_r025_n50_sharpe_long_manager(y, s, k=1, e=1,j=1,q=1.0): + assert k == 1 + return ppo_ewa_long_manager_factory(y=y, s=s, method='max_sharpe', e=e, j=j,r=0.025,n_emp=50,q=q) + + + # Sklearn with min vol + + def ppo_sk_lw_pcov_d1_n100_vol_long_manager(y, s, k=1, e=1,j=1,q=1.0): + return ppo_long_manager_factory(y=y,s=s,f=buf_sk_lw_pcov_d0_n100, e=e, j=j,method='min_volatility',q=q) + + + def ppo_sk_glcv_pcov_d0_n100_vol_long_manager(y, s, k=1, e=1,j=1,q=1.0): + return ppo_long_manager_factory(y=y,s=s,f=buf_sk_glcv_pcov_d0_n100, e=e, j=j,method='min_volatility',q=q) + + + def ppo_sk_glcv_pcov_d0_n100_t0_vol_long_manager(y, s, k=1, e=1,j=1,q=1.0): + return ppo_long_manager_factory(y=y,s=s,f=buf_sk_glcv_pcov_d0_n100_t0, e=e, j=j,method='min_volatility',q=q) + + + def ppo_sk_mcd_pcov_d0_n100_vol_long_manager(y, s, k=1, e=1,j=1,q=1.0): + return ppo_long_manager_factory(y=y,s=s,f=buf_sk_mcd_pcov_d0_n100, e=e, j=j,method='min_volatility',q=q) + + + # Sklearn with quadratic util + + def ppo_sk_lw_pcov_d0_n100_quad_long_manager(y, s, k=1, e=1,j=1,q=1.0): + return ppo_long_manager_factory(y=y,s=s,f=buf_sk_lw_pcov_d0_n100, e=e, j=j,method='max_quadratic_utility',q=q) + + + def ppo_sk_glcv_pcov_d0_n100_quad_long_manager(y, s, k=1, e=1,j=1,q=1.0): + return ppo_long_manager_factory(y=y,s=s,f=buf_sk_glcv_pcov_d0_n100, e=e, j=j,method='max_quadratic_utility',q=q) + + + def ppo_sk_glcv_pcov_d0_n100_t0_quad_long_manager(y, s, k=1, e=1,j=1,q=1.0): + return ppo_long_manager_factory(y=y,s=s,f=buf_sk_glcv_pcov_d0_n100_t0, e=e, j=j,method='max_quadratic_utility',q=q) + + + def ppo_sk_mcd_pcov_d0_n100_quad_long_manager(y, s, k=1, e=1,j=1,q=1.0): + return ppo_long_manager_factory(y=y,s=s,f=buf_sk_mcd_pcov_d0_n100, e=e, j=j,method='max_quadratic_utility',q=q) + + + + # Sklearn with max sharpe + + def ppo_sk_lw_pcov_d0_n100_sharpe_long_manager(y, s, k=1, e=1,j=1,q=1.0): + return ppo_long_manager_factory(y=y,s=s,f=buf_sk_lw_pcov_d0_n100, method='max_sharpe',j=j,q=q) + + + def ppo_sk_glcv_pcov_d0_n100_sharpe_long_manager(y, s, k=1, e=1,j=1,q=1.0): + return ppo_long_manager_factory(y=y,s=s,f=buf_sk_glcv_pcov_d0_n100, method='max_sharpe',j=j,q=q) + + + def ppo_sk_glcv_pcov_d0_n100_t0_sharpe_long_manager(y, s, k=1, e=1,j=1,q=1.0): + return ppo_long_manager_factory(y=y,s=s,f=buf_sk_glcv_pcov_d0_n100_t0, method='max_sharpe',j=j,q=q) + + + def ppo_sk_mcd_pcov_d0_n100_sharpe_long_manager(y, s, k=1, e=1,j=1,q=1.0): + return ppo_long_manager_factory(y=y,s=s,f=buf_sk_mcd_pcov_d0_n100, method='max_sharpe',j=j,q=q) + + + PPO_LONG_MANAGERS = [ppo_pm_t0_d0_r025_n50_vol_long_manager, + ppo_ewa_d0_r025_n50_vol_long_manager, + ppo_pm_t0_d0_r025_n50_quad_long_manager, + ppo_ewa_d0_r025_n50_quad_long_manager, + ppo_ewa_d0_r025_n50_quad_long_manager, + ppo_pm_t0_d0_r025_n50_sharpe_long_manager, + ppo_ewa_d0_r025_n50_sharpe_long_manager, + ppo_sk_lw_pcov_d1_n100_vol_long_manager, + ppo_sk_glcv_pcov_d0_n100_vol_long_manager, + ppo_sk_glcv_pcov_d0_n100_t0_vol_long_manager, + ppo_sk_mcd_pcov_d0_n100_vol_long_manager, + ppo_sk_lw_pcov_d0_n100_quad_long_manager, + ppo_sk_glcv_pcov_d0_n100_quad_long_manager, + ppo_sk_glcv_pcov_d0_n100_t0_quad_long_manager, + ppo_sk_mcd_pcov_d0_n100_quad_long_manager, + ppo_sk_lw_pcov_d0_n100_sharpe_long_manager, + ppo_sk_glcv_pcov_d0_n100_sharpe_long_manager, + ppo_sk_glcv_pcov_d0_n100_t0_sharpe_long_manager, + ppo_sk_mcd_pcov_d0_n100_sharpe_long_manager] +else: + PPO_LONG_MANAGERS = [] + + +if __name__=='__main__': + mgr = ppo_pm_t0_d0_r025_n50_sharpe_long_manager + from precise.skatervaluation.managercomparisonutil.managertesting import manager_test_run + manager_test_run(mgr=mgr,n_dim=5, n_obs=50) diff --git a/precise/skaters/managers/ratchetfactory.py b/precise/skaters/managers/ratchetfactory.py new file mode 100644 index 00000000..8e520aeb --- /dev/null +++ b/precise/skaters/managers/ratchetfactory.py @@ -0,0 +1,81 @@ + +import math +from precise.skaters.locationutil.vectorfunctions import normalize +from copy import deepcopy +import numpy as np + + +def index_of_closest(w, ws): + l1s = [ sum(abs(np.array(w)-np.array(wsi))) for wsi in ws ] + return l1s.index(min(l1s)) + + +def ratchet_manager_factory(mgr, y, s:dict, e=-1, j:int=1000000, q=0.8, vup=1.1, vdn=0.85): + """ + + Sets a new target weight when either s['count'] % j = 0 or e>0 + Otherwise, we use the stale target and ratchet towards it. + + For this to make any sense, 'y' must be changes in log prices. + The manager must respect the "e" convention. That is, the + manager must do little work when e<0 + + :param mgr: Any "manager" + :param y: + :param s: State + :param e: If e>0 is send, this will be passed to the manager and we assume a full update + :param j: + :param q: New portfolio is q*w + (1-q)*w_prev + :param vup: Upper multiplier of target weights + :param vdn: Lower multiplier of target weights + :param n_seed Number of times to call the manager repeatedly with (almost) the same state + :param mgr_kwargs: + :return: w Portfolio weights + """ + if s.get('w') is None: + # Initialization + s['count'] = 0 + s_mgr = {} + w, s_mgr = mgr(y=y, s=s_mgr, e=1000) + s['s_mgr'] = s_mgr + s['w'] = w + return w, s + else: + s['count'] = s['count']+1 + if (s['count'] % j == 0) or (e>0): + # Sporadically use the manager to change the target weights + s_mgr = s['s_mgr'] + s['w_target'] = mgr(y=y, s=s_mgr, e=e) + + # Buy and hold + w_prev = s['w'] + w_roll = normalize([wi * math.exp(yi) for wi, yi in zip(w_prev, y)]) + + # Use the last call to set new manager state. + s['s_mgr'] = s_mgr + + # Then move towards target + w = [ wi*q + (1-q)*wpi for wi, wpi in zip(s['w_target'], w_roll) ] + s['w'] = [wi for wi in w] + return w, s + else: + # Tell the manager not to worry too much about this data point, as the weights won't be used + s_mgr = s['s_mgr'] + _ignore_w, s_mgr = mgr(y=y, s=s_mgr, e=e) + s['s_mgr'] = s_mgr + # ... instead we let it ride + w_prev = s['w'] + w_roll = normalize( [ wi*math.exp(yi) for wi,yi in zip(w_prev,y)] ) + + # Now we ratchet by generating possible trades outside the no-trade zone + w_upper = [ wi*vup for wi in s['w_target']] + w_lower = [ wi*vdn for wi in s['w_target']] + + # Convert trade list to weight changes + from precise.skaters.managerutil.ratcheting import ratchet_trades + dw = ratchet_trades(w=w_roll, w_lower=w_lower, w_upper=w_upper) + w = [wi+dwi for wi,dwi in zip(w_roll,dw )] + + return w, s + + diff --git a/precise/skaters/managers/rflmanagerfactory.py b/precise/skaters/managers/rflmanagerfactory.py new file mode 100644 index 00000000..dc8e9d67 --- /dev/null +++ b/precise/skaters/managers/rflmanagerfactory.py @@ -0,0 +1,58 @@ +from precise.skaters.covariance.buffactory import _buf +import pandas as pd +import numpy as np +from precise.inclusion.riskfoliolibinclusion import using_riskfolio + +# Thin wrapper for some Riskfolio-Lib methods +# For full flexibility refer to the package https://github.com/dcajasn/Riskfolio-Lib/blob/master/examples +# You'll need to import riskfolio-lib as this isn't in by default + + +RPL_RISK_METRICS = ['vol', 'MV', 'MAD', 'MSV', 'FLPM', 'SLPM', + 'VaR','CVaR', 'EVaR', 'WR', 'MDD', 'ADD', + 'DaR', 'CDaR', 'EDaR', 'UCI', 'MDD_Rel', 'ADD_Rel', + 'DaR_Rel', 'CDaR_Rel', 'EDaR_Rel', 'UCI_Rel'] + +if using_riskfolio: + + def rfl_hrp_factory(s, y, k=1, metric='MV', n_buffer:int=100, e=1): + """ + Hierarchical Risk Parity + """ + assert metric in RPL_RISK_METRICS, metric+' is not a valid RPL_RISK_METRIC ' + optim_kwargs = {'rm':metric,'model':'HRP'} + return rpl_manager_factory(s=s, y=y, k=k, e=e, cls_name='HCPortfolio', n_buffer=n_buffer, optim_kwargs=optim_kwargs) + + + def rpl_manager_factory(s, y, k=1, e=1, cls_name='HCPortfolio', optim_kwargs:dict=None, n_buffer:int=1000): + """ + Applies riskfolio-lib routines to buffer + """ + fun_kwargs = {'rp_optim_kwargs': optim_kwargs} + fun_kwargs.update({'port_cls_name': cls_name}) + s = _buf(funcs=[_rpl_func], func_names=['weights'], func_kwargs=[fun_kwargs], s=s, x=y, + e=e, n_buffer=n_buffer) + w = s.get('weights') + if w is None: + w = np.ones(len(y)) + return w, s + + + def _rpl_func(xs, port_cls_name, rp_optim_kwargs:dict=None): + import riskfolio as rp + if rp_optim_kwargs is None: + rp_optim_kwargs = {} + returns = pd.DataFrame(data=xs) + try: + portfolio_cls = getattr(rp, port_cls_name) + except: + raise ValueError(port_cls_name+' is not a valid class name in riskfolio-lib') + port = portfolio_cls(returns=returns) + w_dict = port.optimization(**rp_optim_kwargs) + w = w_dict['weights'].values + return w + + + + + diff --git a/precise/skaters/managers/rflmanagers.py b/precise/skaters/managers/rflmanagers.py new file mode 100644 index 00000000..c0743f3d --- /dev/null +++ b/precise/skaters/managers/rflmanagers.py @@ -0,0 +1,133 @@ +from precise.inclusion.riskfoliolibinclusion import using_riskfolio + +# Risk Measures available in RiskFolio-Lib +# (See this example https://nbviewer.org/github/dcajasn/Riskfolio-Lib/blob/master/examples/Tutorial%2024.ipynb) +# +# 'vol': Standard Deviation. +# 'MV': Variance. +# 'MAD': Mean Absolute Deviation. +# 'MSV': Semi Standard Deviation. +# 'FLPM': First Lower Partial Moment (Omega Ratio). +# 'SLPM': Second Lower Partial Moment (Sortino Ratio). +# 'VaR': Conditional Value at Risk. +# 'CVaR': Conditional Value at Risk. +# 'EVaR': Entropic Value at Risk. +# 'WR': Worst Realization (Minimax) +# 'MDD': Maximum Drawdown of uncompounded cumulative returns (Calmar Ratio). +# 'ADD': Average Drawdown of uncompounded cumulative returns. +# 'DaR': Drawdown at Risk of uncompounded cumulative returns. +# 'CDaR': Conditional Drawdown at Risk of uncompounded cumulative returns. +# 'EDaR': Entropic Drawdown at Risk of uncompounded cumulative returns. +# 'UCI': Ulcer Index of uncompounded cumulative returns. +# 'MDD_Rel': Maximum Drawdown of compounded cumulative returns (Calmar Ratio). +# 'ADD_Rel': Average Drawdown of compounded cumulative returns. +# 'DaR_Rel': Drawdown at Risk of compounded cumulative returns. +# 'CDaR_Rel': Conditional Drawdown at Risk of compounded cumulative returns. +# 'EDaR_Rel': Entropic Drawdown at Risk of compounded cumulative returns. +# 'UCI_Rel': Ulcer Index of compounded cumulative returns. + +if using_riskfolio: + from precise.skaters.managers.rflmanagerfactory import rfl_hrp_factory + + def rfl_hrp_var_long_manager_n200(y, s, k=1, e=1, **ignore): + return rfl_hrp_factory(y=y, s=s, k=k, e=e, metric='MV', n_buffer=200) + + + def rfl_hrp_vol_long_manager_n200(y, s, k=1, e=1, **ignore): + return rfl_hrp_factory(y=y, s=s, k=k, e=e, metric='vol', n_buffer=200) + + + def rfl_hrp_mad_long_manager_n200(y, s, k=1, e=1, **ignore): + return rfl_hrp_factory(y=y, s=s, k=k, e=e, metric='MAD', n_buffer=200) + + + def rfl_hrp_msv_long_manager_n200(y, s, k=1, e=1, **ignore): + return rfl_hrp_factory(y=y, s=s, k=k, e=e, metric='MSV', n_buffer=200) + + + def rfl_hrp_flpm_long_manager_n200(y, s, k=1, e=1, **ignore): + return rfl_hrp_factory(y=y, s=s, k=k, e=e, metric='FLPM', n_buffer=200) + + + def rfl_hrp_slpm_long_manager_n200(y, s, k=1, e=1, **ignore): + return rfl_hrp_factory(y=y, s=s, k=k, e=e, metric='SLPM', n_buffer=200) + + + def rfl_hrp_var_long_manager_n200(y, s, k=1, e=1, **ignore): + return rfl_hrp_factory(y=y, s=s, k=k, e=e, metric='VaR', n_buffer=200) + + + def rfl_hrp_cvar_long_manager_n200(y, s, k=1, e=1, **ignore): + return rfl_hrp_factory(y=y, s=s, k=k, e=e, metric='CVaR', n_buffer=200) + + + def rfl_hrp_evar_long_manager_n200(y, s, k=1, e=1, **ignore): + return rfl_hrp_factory(y=y, s=s, k=k, e=e, metric='EVaR', n_buffer=200) + + + def rfl_hrp_wr_long_manager_n200(y, s, k=1, e=1, **ignore): + return rfl_hrp_factory(y=y, s=s, k=k, e=e, metric='WR', n_buffer=200) + + + def rfl_hrp_mdd_long_manager_n200(y, s, k=1, e=1, **ignore): + return rfl_hrp_factory(y=y, s=s, k=k, e=e, metric='MDD', n_buffer=200) + + + def rfl_hrp_add_long_manager_n200(y, s, k=1, e=1, **ignore): + return rfl_hrp_factory(y=y, s=s, k=k, e=e, metric='ADD', n_buffer=200) + + + def rfl_hrp_dar_long_manager_n200(y, s, k=1, e=1, **ignore): + return rfl_hrp_factory(y=y, s=s, k=k, e=e, metric='DaR', n_buffer=200) + + + def rfl_hrp_cdar_long_manager_n200(y, s, k=1, e=1, **ignore): + return rfl_hrp_factory(y=y, s=s, k=k, e=e, metric='CDaR', n_buffer=200) + + + def rfl_hrp_edar_long_manager_n200(y, s, k=1, e=1, **ignore): + return rfl_hrp_factory(y=y, s=s, k=k, e=e, metric='EDaR', n_buffer=200) + + + def rfl_hrp_mddrel_long_manager_n200(y, s, k=1, e=1, **ignore): + return rfl_hrp_factory(y=y, s=s, k=k, e=e, metric='MDD_Rel', n_buffer=200) + + + def rfl_hrp_addrel_long_manager_n200(y, s, k=1, e=1, **ignore): + return rfl_hrp_factory(y=y, s=s, k=k, e=e, metric='ADD_Rel', n_buffer=200) + + + def rfl_hrp_cdarrel_long_manager_n200(y, s, k=1, e=1, **ignore): + return rfl_hrp_factory(y=y, s=s, k=k, e=e, metric='CDaR_Rel', n_buffer=200) + + + def rfl_hrp_edarrel_long_manager_n200(y, s, k=1, e=1, **ignore): + return rfl_hrp_factory(y=y, s=s, k=k, e=e, metric='EDaR_Rel', n_buffer=200) + + + def rfl_hrp_ucirel_long_manager_n200(y, s, k=1, e=1, **ignore): + return rfl_hrp_factory(y=y, s=s, k=k, e=e, metric='UCI_Rel', n_buffer=200) + + + RFL_HRP_LONG_MANAGERS = [rfl_hrp_var_long_manager_n200, rfl_hrp_vol_long_manager_n200, + rfl_hrp_mad_long_manager_n200, rfl_hrp_msv_long_manager_n200, + rfl_hrp_flpm_long_manager_n200, rfl_hrp_slpm_long_manager_n200, + rfl_hrp_var_long_manager_n200, rfl_hrp_cvar_long_manager_n200, + rfl_hrp_evar_long_manager_n200, rfl_hrp_wr_long_manager_n200, + rfl_hrp_mdd_long_manager_n200, rfl_hrp_add_long_manager_n200, + rfl_hrp_dar_long_manager_n200, rfl_hrp_cdar_long_manager_n200, + rfl_hrp_edar_long_manager_n200, rfl_hrp_mddrel_long_manager_n200, + rfl_hrp_addrel_long_manager_n200, rfl_hrp_cdarrel_long_manager_n200, + rfl_hrp_edarrel_long_manager_n200, rfl_hrp_ucirel_long_manager_n200] +else: + RFL_HRP_LONG_MANAGERS = [] + + +RFL_HRP_LS_MANAGERS = [] +RFL_HRP_MANAGERS = RFL_HRP_LONG_MANAGERS + RFL_HRP_LS_MANAGERS + +RFL_LONG_MANAGERS = RFL_HRP_LONG_MANAGERS +RFL_LS_MANAGERS = RFL_HRP_LS_MANAGERS + + + diff --git a/precise/skaters/managers/rpmanagerfactory.py b/precise/skaters/managers/rpmanagerfactory.py new file mode 100644 index 00000000..c116a5f4 --- /dev/null +++ b/precise/skaters/managers/rpmanagerfactory.py @@ -0,0 +1 @@ +# Might not need this diff --git a/precise/skaters/managers/rpmanagers.py b/precise/skaters/managers/rpmanagers.py new file mode 100644 index 00000000..46bfba47 --- /dev/null +++ b/precise/skaters/managers/rpmanagers.py @@ -0,0 +1,147 @@ +from precise.skaters.covariance.ewaemp import ewa_emp_pcov_d0_r05, ewa_emp_pcov_d0_r01, ewa_emp_pcov_d0_r02 +from precise.skaters.covariance.weakpm import weak_pm_ewa_scov_r02_n100_t0, weak_pm_ewa_scov_r01_n100_t0 + +from precise.inclusion.riskparityportfolioinclusion import using_riskparityportfolio + +if using_riskparityportfolio: + from precise.skaters.portfoliostatic.rpport import rp_port_p0, rp_port_p20, rp_port_p40, rp_port_p60, rp_port_p59, rp_port_p61, rp_port_p80 + from precise.skaters.managers.covmanagerfactory import static_cov_manager_factory_d0 + + + # Some risk parity managers powered by the excellent riskparityportfolio package + + + def rp_ewa_r01_p0_long_manager(y, s, k=1,e=1,j=1,q=1.0): + return static_cov_manager_factory_d0(y=y, s=s, f=ewa_emp_pcov_d0_r01, port=rp_port_p0, e=e,j=j,q=q) + + + def rp_ewa_r02_p0_long_manager(y, s, k=1,e=1,j=1,q=1.0): + return static_cov_manager_factory_d0(y=y, s=s, f=ewa_emp_pcov_d0_r02, port=rp_port_p0, e=e,j=j,q=q) + + + def rp_ewa_r05_p0_long_manager(y, s, k=1,e=1,j=1,q=1.0): + return static_cov_manager_factory_d0(y=y, s=s, f=ewa_emp_pcov_d0_r05, port=rp_port_p0, e=e,j=j,q=q) + + + def rp_ewa_r01_p20_long_manager(y, s, k=1,e=1,j=1,q=1.0): + return static_cov_manager_factory_d0(y=y, s=s, f=ewa_emp_pcov_d0_r01, port=rp_port_p20, e=e,j=j,q=q) + + + def rp_ewa_r02_p20_long_manager(y, s, k=1,e=1,j=1,q=1.0): + return static_cov_manager_factory_d0(y=y, s=s, f=ewa_emp_pcov_d0_r02, port=rp_port_p20, e=e,j=j,q=q) + + + def rp_ewa_r05_p20_long_manager(y, s, k=1,e=1,j=1,q=1.0): + return static_cov_manager_factory_d0(y=y, s=s, f=ewa_emp_pcov_d0_r05, port=rp_port_p20, e=e,j=j,q=q) + + + def rp_ewa_r01_p40_long_manager(y, s, k=1,e=1,j=1,q=1.0): + return static_cov_manager_factory_d0(y=y, s=s, f=ewa_emp_pcov_d0_r01, port=rp_port_p40, e=e,j=j,q=q) + + + def rp_ewa_r02_p40_long_manager(y, s, k=1,e=1,j=1,q=1.0): + return static_cov_manager_factory_d0(y=y, s=s, f=ewa_emp_pcov_d0_r02, port=rp_port_p40, e=e,j=j,q=q) + + + def rp_ewa_r05_p40_long_manager(y, s, k=1,e=1,j=1,q=1.0): + return static_cov_manager_factory_d0(y=y, s=s, f=ewa_emp_pcov_d0_r05, port=rp_port_p40, e=e,j=j,q=q) + + + def rp_ewa_r01_p59_long_manager(y, s, k=1,e=1,j=1,q=1.0): + return static_cov_manager_factory_d0(y=y, s=s, f=ewa_emp_pcov_d0_r01, port=rp_port_p59, e=e,j=j,q=q) + + + def rp_ewa_r02_p59_long_manager(y, s, k=1,e=1,j=1,q=1.0): + return static_cov_manager_factory_d0(y=y, s=s, f=ewa_emp_pcov_d0_r02, port=rp_port_p59, e=e,j=j,q=q) + + + def rp_ewa_r05_p59_long_manager(y, s, k=1,e=1,j=1,q=1.0): + return static_cov_manager_factory_d0(y=y, s=s, f=ewa_emp_pcov_d0_r05, port=rp_port_p59, e=e,j=j,q=q) + + + def rp_ewa_r01_p60_long_manager(y, s, k=1,e=1,j=1,q=1.0): + return static_cov_manager_factory_d0(y=y, s=s, f=ewa_emp_pcov_d0_r01, port=rp_port_p60, e=e,j=j,q=q) + + + def rp_ewa_r02_p60_long_manager(y, s, k=1,e=1,j=1,q=1.0): + return static_cov_manager_factory_d0(y=y, s=s, f=ewa_emp_pcov_d0_r02, port=rp_port_p60, e=e,j=j,q=q) + + + def rp_ewa_r05_p60_long_manager(y, s, k=1,e=1,j=1,q=1.0): + return static_cov_manager_factory_d0(y=y, s=s, f=ewa_emp_pcov_d0_r05, port=rp_port_p60, e=e,j=j,q=q) + + + def rp_ewa_r01_p61_long_manager(y, s, k=1,e=1,j=1,q=1.0): + return static_cov_manager_factory_d0(y=y, s=s, f=ewa_emp_pcov_d0_r01, port=rp_port_p61, e=e,j=j,q=q) + + + def rp_ewa_r02_p61_long_manager(y, s, k=1,e=1,j=1,q=1.0): + return static_cov_manager_factory_d0(y=y, s=s, f=ewa_emp_pcov_d0_r02, port=rp_port_p61, e=e,j=j,q=q) + + + def rp_ewa_r05_p61_long_manager(y, s, k=1,e=1,j=1,q=1.0): + return static_cov_manager_factory_d0(y=y, s=s, f=ewa_emp_pcov_d0_r05, port=rp_port_p61, e=e,j=j,q=q) + + + def rp_ewa_r01_p80_long_manager(y, s, k=1,e=1,j=1,q=1.0): + return static_cov_manager_factory_d0(y=y, s=s, f=ewa_emp_pcov_d0_r01, port=rp_port_p80, e=e,j=j,q=q) + + + def rp_ewa_r02_p80_long_manager(y, s, k=1,e=1,j=1,q=1.0): + return static_cov_manager_factory_d0(y=y, s=s, f=ewa_emp_pcov_d0_r02, port=rp_port_p80, e=e,j=j,q=q) + + + def rp_ewa_r05_p80_long_manager(y, s, k=1,e=1,j=1,q=1.0): + return static_cov_manager_factory_d0(y=y, s=s, f=ewa_emp_pcov_d0_r05, port=rp_port_p80, e=e,j=j,q=q) + + + RP_EWA_LONG_MANAGERS = [rp_ewa_r01_p0_long_manager, rp_ewa_r02_p0_long_manager,rp_ewa_r05_p0_long_manager, + rp_ewa_r01_p20_long_manager, rp_ewa_r02_p20_long_manager,rp_ewa_r05_p20_long_manager, + rp_ewa_r01_p40_long_manager, rp_ewa_r02_p40_long_manager, rp_ewa_r05_p40_long_manager, + rp_ewa_r01_p59_long_manager, rp_ewa_r02_p59_long_manager, rp_ewa_r05_p59_long_manager, + rp_ewa_r01_p60_long_manager, rp_ewa_r02_p60_long_manager, rp_ewa_r05_p60_long_manager, + rp_ewa_r01_p61_long_manager, rp_ewa_r02_p61_long_manager, rp_ewa_r05_p61_long_manager, + rp_ewa_r01_p80_long_manager, rp_ewa_r02_p80_long_manager, rp_ewa_r05_p80_long_manager] + + + + # Some more close to p40_r01 but using convex hull + + + def rp_ewa_r01_p40_l20_long_manager(y, s, k=1,e=1,j=1,q=1.0): + return static_cov_manager_factory_d0(y=y, s=s, f=ewa_emp_pcov_d0_r01, l=20, port=rp_port_p40, e=e,j=j,q=q) + + + def rp_ewa_r01_p40_l21_long_manager(y, s, k=1,e=1,j=1,q=1.0): + return static_cov_manager_factory_d0(y=y, s=s, f=ewa_emp_pcov_d0_r01, l=21, port=rp_port_p40, e=e,j=j,q=q) + + + def rp_ewa_r01_p20_l20_long_manager(y, s, k=1,e=1,j=1,q=1.0): + return static_cov_manager_factory_d0(y=y, s=s, f=ewa_emp_pcov_d0_r01, l=20, port=rp_port_p20, e=e,j=j,q=q) + + + def rp_ewa_r01_p20_l21_long_manager(y, s, k=1,e=1,j=1,q=1.0): + return static_cov_manager_factory_d0(y=y, s=s, f=ewa_emp_pcov_d0_r01, l=21, port=rp_port_p20, e=e,j=j,q=q) + + + def rp_weak_pm_t0_r01_p40_l20_long_manager(y, s, k=1,e=1,j=1,q=1.0): # A tad slow + return static_cov_manager_factory_d0(y=y, s=s, f=weak_pm_ewa_scov_r01_n100_t0, l=20, port=rp_port_p40, e=e,j=j,q=q) + + + def rp_weak_pm_t0_p40_l21_long_manager(y, s, k=1,e=1,j=1,q=1.0): # A tad slow + return static_cov_manager_factory_d0(y=y, s=s, f=weak_pm_ewa_scov_r01_n100_t0, l=21, port=rp_port_p40, e=e,j=j,q=q) + + + RP_STOCHASTIC_LONG_MANAGERS = [rp_ewa_r01_p40_l20_long_manager, rp_ewa_r01_p40_l21_long_manager, + rp_weak_pm_t0_r01_p40_l20_long_manager, rp_weak_pm_t0_p40_l21_long_manager, + rp_ewa_r01_p20_l20_long_manager, rp_ewa_r01_p20_l21_long_manager] + + + + RP_LONG_MANAGERS = RP_EWA_LONG_MANAGERS + RP_STOCHASTIC_LONG_MANAGERS # For now. Should add some _pm_'s + + +else: + RP_STOCHASTIC_LONG_MANAGERS = [] + RP_LONG_MANAGERS = [] + RP_EWA_LONG_MANAGERS = [] \ No newline at end of file diff --git a/precise/skaters/managers/schurmanagerfactory.py b/precise/skaters/managers/schurmanagerfactory.py new file mode 100644 index 00000000..3b6518da --- /dev/null +++ b/precise/skaters/managers/schurmanagerfactory.py @@ -0,0 +1,239 @@ +from precise.skaters.managers.covmanagerfactory import static_cov_manager_factory_d0 +from precise.skaters.covariance.ewapm import ewa_pm_factory +from precise.skaters.covariance.bufempfactory import buf_emp_pcov_d0_factory +from precise.skaters.portfoliostatic.schurportfactory import schur_portfolio_factory +from precise.skaters.portfoliostatic.weakportfactory import weak_portfolio_factory +from precise.skaters.portfoliostatic.weakalloc import weak_allocation_factory +from precise.skaters.portfoliostatic.diagalloc import diagonal_allocation_factory +from precise.skaters.portfoliostatic.diagport import diagonal_portfolio_factory +from precise.skaters.covariance.ewaempfactory import ewa_emp_pcov_factory +from precise.skaters.portfoliostatic.equalport import equal_long_port +from functools import partial +from precise.skaters.portfoliostatic.weakportfactory import BIG_H +from precise.inclusion.pyportfoliooptinclusion import using_pyportfolioopt +from precise.inclusion.riskparityportfolioinclusion import using_riskparityportfolio + + +# Convenience functions for Schur managers +# These use either EWA cov estimation or partial moments, but more could be added + + +def schur_weak_weak_pm_manager_factory(y, s, target, n_emp, e, r, a=1.0, b=None, h=BIG_H, n_split=5, gamma=0, delta=0, zeta=0, a_alloc=1.0, b_alloc=None,j=1,q=1.0, l=None): + """ + HRP weak portfolio construction using partial moments cov estimation + s - subportfolio size + a, b - weak coefs used at leaf + a_alloc, b_alloc - weak coefs used at parents + j - frequency of running the algo + """ + f = partial( ewa_pm_factory, k=1, r=r,target=target, n_emp=n_emp ) + alloc = partial( weak_allocation_factory, a=a_alloc, b=b_alloc ) + leaf_port = partial( weak_portfolio_factory, a=a, b=b, h=h ) + sch_port = partial(schur_portfolio_factory, alloc=alloc, port=leaf_port, n_split=n_split, gamma=gamma, delta=delta) + return static_cov_manager_factory_d0(f=f, port=sch_port, y=y, s=s, e=e, zeta=zeta, j=j, q=q, l=l) + + +def schur_diag_weak_pm_manager_factory(y, s, target, n_emp, e, r, a=1.0, b=None, h=BIG_H, n_split=5, gamma=0.0,delta =0.0, zeta=0,j=1,q=1.0,l=None): + """ + Schur with diag allocation and weak portfolio construction using partial moments cov estimation + a, b - weak coefs used at leaf + """ + f = partial( ewa_pm_factory, k=1, r=r,target=target, n_emp=n_emp ) + alloc = partial( diagonal_allocation_factory ) + leaf_port = partial( weak_portfolio_factory, a=a, b=b, h=h ) + sch_port = partial(schur_portfolio_factory, alloc=alloc, port=leaf_port, n_split=n_split, gamma=gamma, delta=delta) + return static_cov_manager_factory_d0(f=f, port=sch_port, y=y, s=s, e=e, zeta=zeta,j=j,q=q, l=l) + + +def schur_diag_equal_pm_manager_factory(y, s, target, n_emp, e, r, n_split=5, gamma=0.0, delta =0.0, zeta=0,j=1,q=1.0,l=None): + """ + Schur with diag allocation and equal portfolio construction using partial moments cov estimation + a, b - weak coefs used at leaf + """ + f = partial( ewa_pm_factory, k=1, r=r,target=target, n_emp=n_emp ) + alloc = partial( diagonal_allocation_factory ) + leaf_port = partial( equal_long_port ) + sch_port = partial(schur_portfolio_factory, alloc=alloc, port=leaf_port, n_split=n_split, gamma=gamma, delta=delta) + return static_cov_manager_factory_d0(f=f, port=sch_port, y=y, s=s, e=e, zeta=zeta,j=j,q=q,l=l) + + + + +def schur_diag_diag_pm_manager_factory(y, s, target, n_emp, e, r, k=1,n_split=5, gamma=0.0, delta=0, zeta=0,j=1,q=1.0,l=None): + """ + Schur with diag allocation and diag portfolio construction using partial moments cov estimation + a, b - weak coefs used at leaf + """ + f = partial( ewa_pm_factory, k=1, r=r,target=target, n_emp=n_emp ) + alloc = partial( diagonal_allocation_factory ) + leaf_port = partial( diagonal_portfolio_factory ) + sch_port = partial(schur_portfolio_factory, alloc=alloc, port=leaf_port, n_split=n_split, gamma=gamma, delta=delta) + return static_cov_manager_factory_d0(f=f, port=sch_port, y=y, s=s, e=e, zeta=zeta,j=j,q=q,l=l) + + +def schur_diag_diag_buf_emp_manager_factory(y, s, n_buffer, e, k=1,n_split=5, gamma=0.0, delta=0, zeta=0,j=1,q=1.0, l=None): + """ + Schur with diag allocation and diag portfolio construction using partial moments cov estimation + a, b - weak coefs used at leaf + """ + f = partial( buf_emp_pcov_d0_factory, k=1, n_buffer=n_buffer ) + alloc = partial( diagonal_allocation_factory ) + leaf_port = partial( diagonal_portfolio_factory ) + sch_port = partial(schur_portfolio_factory, alloc=alloc, port=leaf_port, n_split=n_split, gamma=gamma, delta=delta) + return static_cov_manager_factory_d0(f=f, port=sch_port, y=y, s=s, e=e, zeta=zeta,j=j,q=q,l=l) + + +def schur_weak_diag_pm_manager_factory(y, s, target, n_emp, e, r, n_split=5, a=1.0, b=None, gamma=0.0, delta=0, zeta=0,j=1,q=1.0, l=None): + """ + Schur with weak allocation and diag portfolio construction using partial moments cov estimation + a, b - weak coefs used at leaf + """ + f = partial( ewa_pm_factory, k=1, r=r,target=target, n_emp=n_emp ) + alloc = partial( weak_allocation_factory, a=a, b=b ) + leaf_port = partial( diagonal_portfolio_factory ) + sch_port = partial(schur_portfolio_factory, alloc=alloc, port=leaf_port, n_split=n_split, gamma=gamma, delta=delta) + return static_cov_manager_factory_d0(f=f, port=sch_port, y=y, s=s, e=e, zeta=zeta,j=j,q=q,l=l) + + +# EWA covariancecomparisonutil estimation + + +def schur_weak_weak_ewa_manager_factory(y, s, n_emp, e, r, a=1.0, b=None, h=BIG_H, n_split=5, gamma=0.0, delta=0.0, a_alloc=1.0, b_alloc=None,j=1,q=1.0,l=None): + """ + Schur weak allocation, weak portfolio construction, using partial moments cov estimation + a, b - weak coefs used at leaf + a_alloc, b_alloc - weak coefs used at parents + """ + f = partial( ewa_emp_pcov_factory, k=1,r=r, n_emp=n_emp ) + alloc = partial( weak_allocation_factory, a=a_alloc, b=b_alloc ) + leaf_port = partial( weak_portfolio_factory, a=a, b=b, h=h ) + sch_port = partial(schur_portfolio_factory, alloc=alloc, port=leaf_port, n_split=n_split, gamma=gamma, delta=delta) + return static_cov_manager_factory_d0(f=f, port=sch_port, s=s, y=y, e=e,j=j,q=q,l=l) + + +def schur_diag_weak_ewa_manager_factory(y, s, n_emp, e, r, a=1.0, b=None, h=BIG_H, n_split=5, gamma=0.0, delta=0, zeta=0,j=1,q=1.0,l=None): + """ + Schur with diag allocation and weak portfolio construction using expon weighted cov estimation + a, b - weak coefs used at leaf + """ + f = partial(ewa_emp_pcov_factory, k=1, r=r, n_emp=n_emp) + alloc = partial( diagonal_allocation_factory ) + leaf_port = partial( weak_portfolio_factory, a=a, b=b, h=h ) + sch_port = partial(schur_portfolio_factory, alloc=alloc, port=leaf_port, n_split=n_split, gamma=gamma, delta=delta) + return static_cov_manager_factory_d0(f=f, port=sch_port, y=y, s=s, e=e, zeta=zeta,j=j,q=q,l=l) + + +def schur_diag_diag_ewa_manager_factory(y, s, n_emp, e, r, n_split=5, gamma=0.0, delta=0, zeta=0,j=1,q=1.0,l=None): + """ + Schur with diag allocation and diag portfolio construction using expon weighted cov estimation + a, b - weak coefs used at leaf + """ + f = partial(ewa_emp_pcov_factory, k=1, r=r, n_emp=n_emp) + alloc = partial( diagonal_allocation_factory ) + leaf_port = partial( diagonal_portfolio_factory ) + sch_port = partial(schur_portfolio_factory, alloc=alloc, port=leaf_port, n_split=n_split, gamma=gamma, delta=delta) + return static_cov_manager_factory_d0(f=f, port=sch_port, y=y, s=s, e=e, zeta=zeta,j=j,q=q,l=l) + + + +def schur_diag_equal_ewa_manager_factory(y, s, n_emp, e, r, n_split=5, gamma=0.0, delta=0, zeta=0,j=1,q=1.0,l=None): + """ + Schur with diag allocation and equal portfolio construction using partial moments cov estimation + a, b - weak coefs used at leaf + """ + f = partial(ewa_emp_pcov_factory, k=1, r=r, n_emp=n_emp) + alloc = partial( diagonal_allocation_factory ) + leaf_port = partial( equal_long_port ) + sch_port = partial(schur_portfolio_factory, alloc=alloc, port=leaf_port, n_split=n_split, gamma=gamma, delta=delta) + return static_cov_manager_factory_d0(f=f, port=sch_port, y=y, s=s, e=e, zeta=zeta,j=j,q=q,l=l) + + +def schur_weak_diag_ewa_manager_factory(y, s, n_emp, e, r, n_split=5, a=1.0, b=None, gamma=0.0, delta=0, zeta=0,j=1,q=1.0,l=None): + """ + Schur with weak allocation and diag portfolio construction using expon weighted cov estimation + a, b - weak coefs used at leaf + gamma=delta=0 - HRP + """ + f = partial(ewa_emp_pcov_factory, k=1, r=r, n_emp=n_emp) + alloc = partial( weak_allocation_factory, a=a, b=b ) + leaf_port = partial( diagonal_portfolio_factory ) + sch_port = partial(schur_portfolio_factory, alloc=alloc, port=leaf_port, n_split=n_split, gamma=gamma, delta=delta) + return static_cov_manager_factory_d0(f=f, port=sch_port, y=y, s=s, e=e, zeta=zeta,j=j,q=q,l=l) + + +################################################ +# Now we list some that use pyportfolioopt # +################################################ + +if using_pyportfolioopt: + from precise.skaters.portfoliostatic.volalloc import vol_allocation_factory + from precise.skaters.portfoliostatic.ppoportfactory import ppo_vol_port + + def schur_diag_vol_ewa_manager_factory(y, s, n_emp, e, r, n_split=5, gamma=0.0, delta=0, zeta=0,j=1,q=1.0,l=None): + """ + Schur with diag allocation and min-vol portfolio construction using expon weighted cov estimation + a, b - weak coefs used at leaf + """ + f = partial(ewa_emp_pcov_factory, k=1, r=r, n_emp=n_emp) + alloc = partial( diagonal_allocation_factory ) + leaf_port = partial( ppo_vol_port ) + sch_port = partial( schur_portfolio_factory, alloc=alloc, port=leaf_port, n_split=n_split, gamma=gamma, delta=delta) + return static_cov_manager_factory_d0(f=f, port=sch_port, y=y, s=s, e=e, zeta=zeta,j=j,q=q,l=l) + + def schur_vol_vol_ewa_manager_factory(y, s, n_emp, e, r, n_split=5, gamma=0.0, delta=0, zeta=0,j=1,q=1.0,l=None): + """ + Schur with vol allocation and min-vol portfolio construction using expon weighted cov estimation + a, b - weak coefs used at leaf + """ + f = partial(ewa_emp_pcov_factory, k=1, r=r, n_emp=n_emp) + alloc = partial( vol_allocation_factory ) + leaf_port = partial( ppo_vol_port ) + sch_port = partial( schur_portfolio_factory, alloc=alloc, port=leaf_port, n_split=n_split, gamma=gamma, delta=delta) + return static_cov_manager_factory_d0(f=f, port=sch_port, y=y, s=s, e=e, zeta=zeta,j=j,q=q,l=l) + + def schur_vol_vol_pm_manager_factory(y, s, n_emp, e, r, target=0, n_split=5, gamma=0.0, delta=0, zeta=0,j=1,q=1.0,l=None): + """ + Schur with vol allocation and min-vol portfolio construction using expon weighted cov estimation + a, b - weak coefs used at leaf + """ + f = partial(ewa_pm_factory, k=1, r=r, target=target, n_emp=n_emp) + alloc = partial( vol_allocation_factory ) + leaf_port = partial( ppo_vol_port ) + sch_port = partial( schur_portfolio_factory, alloc=alloc, port=leaf_port, n_split=n_split, gamma=gamma, delta=delta) + return static_cov_manager_factory_d0(f=f, port=sch_port, y=y, s=s, e=e, zeta=zeta,j=j,q=q,l=l) + + + def schur_weak_vol_ewa_manager_factory(y, s, n_emp, e, r, n_split=5, a=1.0, b=None, gamma=0.0, delta=0, zeta=0,j=1,q=1.0,l=None): + """ + Schur with weak allocation and min-vol portfolio construction using expon weighted cov estimation + a, b - weak coefs used at leaf + """ + f = partial(ewa_emp_pcov_factory, k=1, r=r, n_emp=n_emp) + alloc = partial( weak_allocation_factory,a=a, b=b ) + leaf_port = partial( ppo_vol_port ) + sch_port = partial( schur_portfolio_factory, alloc=alloc, port=leaf_port, n_split=n_split, gamma=gamma, delta=delta) + return static_cov_manager_factory_d0(f=f, port=sch_port, y=y, s=s, e=e, zeta=zeta,j=j,q=q,l=l) + + + def schur_vol_weak_ewa_manager_factory(y, s, n_emp, e, r, n_split=5, a=1.0, b=None, gamma=0.0, delta=0, zeta=0,j=1,q=1.0,l=None): + """ + Schur with weak allocation and min-vol portfolio construction using expon weighted cov estimation + a, b - weak coefs used at leaf + """ + f = partial(ewa_emp_pcov_factory, k=1, r=r, n_emp=n_emp) + alloc = partial( vol_allocation_factory ) + leaf_port = partial( weak_portfolio_factory, a=a, b=b, h=BIG_H ) + sch_port = partial( schur_portfolio_factory, alloc=alloc, port=leaf_port, n_split=n_split, gamma=gamma, delta=delta) + return static_cov_manager_factory_d0(f=f, port=sch_port, y=y, s=s, e=e, zeta=zeta,j=j,q=q,l=l) + + + def schur_diag_vol_pm_manager_factory(y, s, target, n_emp, e, r, k=1,n_split=5, gamma=0.0, delta=0, zeta=0,j=1,q=1.0,l=None): + """ + Schur with diag allocation and min-vol portfolio construction using partial moments cov estimation + a, b - weak coefs used at leaf + """ + f = partial( ewa_pm_factory, k=1, r=r,target=target, n_emp=n_emp ) + alloc = partial( diagonal_allocation_factory ) + leaf_port = partial( ppo_vol_port ) + sch_port = partial( schur_portfolio_factory, alloc=alloc, port=leaf_port, n_split=n_split, gamma=gamma, delta=delta) + return static_cov_manager_factory_d0(f=f, port=sch_port, y=y, s=s, e=e, zeta=zeta,j=j,q=q,l=l) diff --git a/precise/skaters/managers/schurmanagers.py b/precise/skaters/managers/schurmanagers.py new file mode 100644 index 00000000..508ebe37 --- /dev/null +++ b/precise/skaters/managers/schurmanagers.py @@ -0,0 +1,616 @@ +from precise.skaters.managers.schurmanagerfactory import schur_weak_weak_pm_manager_factory,\ + schur_weak_weak_ewa_manager_factory, schur_diag_weak_pm_manager_factory, \ + schur_diag_diag_ewa_manager_factory, schur_weak_diag_pm_manager_factory + # gamma = 1.0 +# r=0.025... +from precise.inclusion.pyportfoliooptinclusion import using_pyportfolioopt + + +def schur_weak_weak_pm_t0_r025_n50_s5_g100_long_manager(y, s, k=1, e=1, j=1, q=1.0): + assert k == 1 + return schur_weak_weak_pm_manager_factory(y=y, s=s, target=0, e=e, r=0.025, n_emp=50, gamma=1.0, delta=0.0, j=j, + q=q) + + +def schur_weak_weak_pm_t0_r050_n25_s5_g100_long_manager(y, s, k=1, e=1, j=1, q=1.0): + assert k == 1 + return schur_weak_weak_pm_manager_factory(y=y, s=s, target=0, e=e, r=0.050, n_emp=25, gamma=1.0, delta=0.0, j=j, + q=q) + + +def schur_weak_weak_ewa_r025_n50_s5_g100_long_manager(y, s, k=1, e=1, j=1, q=1.0): + assert k == 1 + return schur_weak_weak_ewa_manager_factory(y=y, s=s, e=e, r=0.025, n_emp=50, gamma=1.0, delta=0.0, j=j, q=q) + + +def schur_weak_weak_ewa_r050_n25_s5_g100_long_manager(y, s, k=1, e=1, j=1, q=1.0): + assert k == 1 + return schur_weak_weak_ewa_manager_factory(y=y, s=s, e=e, r=0.05, n_emp=25, gamma=1.0, delta=0.0, j=j, q=q) + + +# Same but with weak entropish and larger sub-portfolios + +# ... first h=5.0 +def schur_weak_weak_pm_t0_r025_n50_s25_g100_h500_long_manager(y, s=25, k=1, e=1, j=1, q=1.0): + assert k == 1 + return schur_weak_weak_pm_manager_factory(y=y, s=s, target=0, e=e, r=0.025, n_emp=50, h=5.0, gamma=1.0, delta=0.0, + j=j, q=q) + + +def schur_weak_weak_pm_t0_r050_n25_s25_g100_h500_long_manager(y, s=25, k=1, e=1, j=1, q=1.0): + assert k == 1 + return schur_weak_weak_pm_manager_factory(y=y, s=s, target=0, e=e, r=0.050, n_emp=25, h=5.0, gamma=1.0, delta=0.0, + j=j, q=q) + + +def schur_weak_weak_ewa_r025_n50_s25_g100_h500_long_manager(y, s=25, k=1, e=1, j=1, q=1.0): + assert k == 1 + return schur_weak_weak_ewa_manager_factory(y=y, s=s, e=e, r=0.025, n_emp=50, h=5.0, gamma=1.0, delta=0.0, j=j, q=q) + + +def schur_weak_weak_ewa_r050_n25_s25_g100_h500_long_manager(y, s=25, k=1, e=1, j=1, q=1.0): + assert k == 1 + return schur_weak_weak_ewa_manager_factory(y=y, s=s, e=e, r=0.05, n_emp=25, h=5.0, gamma=1.0, delta=0.0, j=j, q=q) + + +SCHUR_GAMMA_100_S25_H500_LONG_MANAGERS = [schur_weak_weak_pm_t0_r025_n50_s25_g100_h500_long_manager, + schur_weak_weak_pm_t0_r050_n25_s25_g100_h500_long_manager, + schur_weak_weak_ewa_r025_n50_s25_g100_h500_long_manager, + schur_weak_weak_ewa_r050_n25_s25_g100_h500_long_manager] + + +### Same but with weak entropish and larger sub-portfolios and s=100 + +# ... first h=5.0 +def schur_weak_weak_pm_t0_r025_n50_s100_g100_h500_long_manager(y, s=100, k=1, e=1, j=1, q=1.0): + assert k == 1 + return schur_weak_weak_pm_manager_factory(y=y, s=s, target=0, e=e, r=0.025, n_emp=50, h=5.0, gamma=1.0, delta=0.0, + j=j, q=q) + + +def schur_weak_weak_pm_t0_r050_n25_s100_g100_h500_long_manager(y, s=100, k=1, e=1, j=1, q=1.0): + assert k == 1 + return schur_weak_weak_pm_manager_factory(y=y, s=s, target=0, e=e, r=0.050, n_emp=25, h=5.0, gamma=1.0, delta=0.0, + j=j, q=q) + + +def schur_weak_weak_ewa_r025_n50_s100_g100_h500_long_manager(y, s=100, k=1, e=1, j=1, q=1.0): + assert k == 1 + return schur_weak_weak_ewa_manager_factory(y=y, s=s, e=e, r=0.025, n_emp=50, h=5.0, gamma=1.0, delta=0.0, j=j, q=q) + + +def schur_weak_weak_ewa_r050_n25_s100_g100_h500_long_manager(y, s=100, k=1, e=1, j=1, q=1.0): + assert k == 1 + return schur_weak_weak_ewa_manager_factory(y=y, s=s, e=e, r=0.05, n_emp=25, h=5.0, gamma=1.0, delta=0.0, j=j, q=q) + + +SCHUR_GAMMA_100_S100_H500_LONG_MANAGERS = [schur_weak_weak_pm_t0_r025_n50_s100_g100_h500_long_manager, + schur_weak_weak_pm_t0_r050_n25_s100_g100_h500_long_manager, + schur_weak_weak_ewa_r025_n50_s100_g100_h500_long_manager, + schur_weak_weak_ewa_r050_n25_s100_g100_h500_long_manager] + + +# ... then h=1.5 + +def schur_weak_weak_pm_t0_r025_n50_s25_g100_h150_long_manager(y, s=25, k=1, e=1, j=1, q=1.0): + assert k == 1 + return schur_weak_weak_pm_manager_factory(y=y, s=s, target=0, e=e, r=0.025, n_emp=50, h=1.5, gamma=1.0, delta=0.0, + j=j, q=q) + + +def schur_weak_weak_pm_t0_r050_n25_s25_g100_h150_long_manager(y, s=25, k=1, e=1, j=1, q=1.0): + assert k == 1 + return schur_weak_weak_pm_manager_factory(y=y, s=s, target=0, e=e, r=0.050, n_emp=25, h=1.0, gamma=1.0, delta=0.0, + j=j, q=q) + + +def schur_weak_weak_ewa_r025_n50_s25_g100_h150_long_manager(y, s=25, k=1, e=1, j=1, q=1.0): + assert k == 1 + return schur_weak_weak_ewa_manager_factory(y=y, s=s, e=e, r=0.025, n_emp=50, h=1.5, gamma=1.0, delta=0.0, j=j, q=q) + + +def schur_weak_weak_ewa_r050_n25_s25_g100_h150_long_manager(y, s=25, k=1, e=1, j=1, q=1.0): + assert k == 1 + return schur_weak_weak_ewa_manager_factory(y=y, s=s, e=e, r=0.05, n_emp=25, h=1.5, gamma=1.0, delta=0.0, j=j, q=q) + + +SCHUR_GAMMA_100_H150_LONG_MANAGERS = [schur_weak_weak_pm_t0_r025_n50_s25_g100_h150_long_manager, + schur_weak_weak_pm_t0_r050_n25_s25_g100_h150_long_manager, + schur_weak_weak_ewa_r025_n50_s25_g100_h150_long_manager, + schur_weak_weak_ewa_r050_n25_s25_g100_h150_long_manager] + + +# ... then h=1.25 + +def schur_weak_weak_pm_t0_r025_n50_s25_g100_h125_long_manager(y, s=25, k=1, e=1, j=1, q=1.0): + assert k == 1 + return schur_weak_weak_pm_manager_factory(y=y, s=s, target=0, e=e, r=0.025, n_emp=50, h=1.25, gamma=1.0, delta=0.0, + j=j, q=q) + + +def schur_weak_weak_pm_t0_r050_n25_s25_g100_h125_long_manager(y, s=25, k=1, e=1, j=1, q=1.0): + assert k == 1 + return schur_weak_weak_pm_manager_factory(y=y, s=s, target=0, e=e, r=0.050, n_emp=25, h=1.25, gamma=1.0, delta=0.0, + j=j, q=q) + + +def schur_weak_weak_ewa_r025_n50_s25_g100_h125_long_manager(y, s=25, k=1, e=1, j=1, q=1.0): + assert k == 1 + return schur_weak_weak_ewa_manager_factory(y=y, s=s, e=e, r=0.025, n_emp=50, h=1.25, gamma=1.0, delta=0.0, j=j, q=q) + + +def schur_weak_weak_ewa_r050_n25_s25_g100_h125_long_manager(y, s=25, k=1, e=1, j=1, q=1.0): + assert k == 1 + return schur_weak_weak_ewa_manager_factory(y=y, s=s, e=e, r=0.05, n_emp=25, h=1.25, gamma=1.0, delta=0.0, j=j, q=q) + + +SCHUR_GAMMA_100_H125_LONG_MANAGERS = [schur_weak_weak_pm_t0_r025_n50_s25_g100_h125_long_manager, + schur_weak_weak_pm_t0_r050_n25_s25_g100_h125_long_manager, + schur_weak_weak_ewa_r025_n50_s25_g100_h125_long_manager, + schur_weak_weak_ewa_r050_n25_s25_g100_h125_long_manager] + + +def schur_diag_diag_ewa_r050_n25_s5_g100_long_manager(y, s, k=1, e=1, j=1, q=1.0): + assert k == 1 + return schur_diag_diag_ewa_manager_factory(y=y, s=s, e=e, r=0.05, n_emp=25, n_split=5, gamma=1.0, delta=0.0, j=j, + q=q) + + +def schur_diag_weak_pm_t0_r050_n25_s5_g100_long_manager(y, s, k=1, e=1, j=1, q=1.0): + assert k == 1 + return schur_diag_weak_pm_manager_factory(y=y, s=s, e=e, r=0.05, target=0, n_emp=25, n_split=5, gamma=1.0, + delta=0.0, j=j, q=q) + + +def schur_weak_diag_pm_t0_r050_n25_s5_g100_long_manager(y, s, k=1, e=1, j=1, q=1.0): + assert k == 1 + return schur_weak_diag_pm_manager_factory(y=y, s=s, e=e, r=0.05, target=0, n_emp=25, n_split=5, gamma=1.0, + delta=0.0, j=j, q=q) + + +# -# r=0.05 ... + +if using_pyportfolioopt: + from precise.skaters.managers.schurmanagerfactory import schur_vol_vol_pm_manager_factory + from precise.skaters.managers.schurmanagerfactory import schur_vol_vol_ewa_manager_factory, schur_weak_vol_ewa_manager_factory + + + def schur_weak_vol_ewa_r050_n25_s5_g100_long_manager(y, s, k=1, e=1, j=1, q=1.0): + assert k == 1 + return schur_weak_vol_ewa_manager_factory(y=y, s=s, e=e, r=0.05, n_emp=25, n_split=5, gamma=1.0, delta=0.0, j=j, + q=q) + + + # Some close to HRP.. + + def schur_weak_vol_ewa_r001_n200_s50_g100_l20_long_manager(y, s, k=1, e=1, j=1, q=1.0): + assert k == 1 + return schur_weak_vol_ewa_manager_factory(y=y, s=s, r=0.001, n_emp=200, n_split=50, e=e, gamma=100, delta=0, j=j, + q=q, l=20) + + + def schur_weak_vol_ewa_r001_n200_s50_g100_l21_long_manager(y, s, k=1, e=1, j=1, q=1.0): + assert k == 1 + return schur_weak_vol_ewa_manager_factory(y=y, s=s, r=0.001, n_emp=200, n_split=50, e=e, gamma=100, delta=0, j=j, + q=q, l=21) + + def schur_vol_vol_ewa_r050_n25_s5_g100_long_manager(y, s, k=1, e=1, j=1, q=1.0): + assert k == 1 + return schur_vol_vol_ewa_manager_factory(y=y, s=s, e=e, r=0.05, n_emp=25, n_split=5, gamma=1.0, delta=0.0, j=j, q=q) + + + + + def schur_vol_vol_pm_t0_d0_r025_n50_s5_g100_long_manager(y, s, k=1, e=1, j=1, q=1, zeta=0): + assert k == 1 + return schur_vol_vol_pm_manager_factory(y=y, s=s, n_emp=50, e=e, r=0.025, target=0, n_split=5, gamma=1.0, delta=0, + zeta=zeta, j=j, q=q) + + + def schur_vol_vol_pm_t0_d0_r025_n50_s25_g100_long_manager(y, s, k=1, e=1, j=1, q=1, zeta=0): + assert k == 1 + return schur_vol_vol_pm_manager_factory(y=y, s=s, n_emp=50, e=e, r=0.025, target=0, n_split=25, gamma=1.0, delta=0, + zeta=zeta, j=j, q=q) + + + def schur_vol_vol_pm_t0_d0_r025_n50_s50_g100_long_manager(y, s, k=1, e=1, j=1, q=1, zeta=0): + assert k == 1 + return schur_vol_vol_pm_manager_factory(y=y, s=s, n_emp=50, e=e, r=0.025, target=0, n_split=25, gamma=1.0, delta=0, + zeta=zeta, j=j, q=q) + + + SCHUR_GAMMA_100_VOL_VOL_LONG_MANAGERS = [schur_vol_vol_pm_t0_d0_r025_n50_s5_g100_long_manager, + schur_vol_vol_pm_t0_d0_r025_n50_s25_g100_long_manager, + schur_vol_vol_pm_t0_d0_r025_n50_s25_g100_long_manager, + schur_vol_vol_pm_t0_d0_r025_n50_s50_g100_long_manager] + SCHUR_GAMMA_100_WEAK_VOL_LONG_MANAGERS = [ schur_weak_vol_ewa_r050_n25_s5_g100_long_manager, + schur_weak_vol_ewa_r001_n200_s50_g100_l20_long_manager, + schur_weak_vol_ewa_r001_n200_s50_g100_l21_long_manager, + schur_vol_vol_ewa_r050_n25_s5_g100_long_manager] +else: + SCHUR_GAMMA_100_VOL_VOL_LONG_MANAGERS = [] + SCHUR_GAMMA_100_WEAK_VOL_LONG_MANAGERS = [] + +SCHUR_GAMMA_100_ENTROPISH_LONG_MANAGERS = SCHUR_GAMMA_100_H125_LONG_MANAGERS + \ + SCHUR_GAMMA_100_H150_LONG_MANAGERS + \ + SCHUR_GAMMA_100_S25_H500_LONG_MANAGERS + \ + SCHUR_GAMMA_100_S100_H500_LONG_MANAGERS + +SCHUR_GAMMA_100_WEAK_WEAK_LONG_MANAGERS = [schur_weak_weak_pm_t0_r025_n50_s5_g100_long_manager, + schur_weak_weak_pm_t0_r050_n25_s5_g100_long_manager, + schur_weak_weak_ewa_r025_n50_s5_g100_long_manager, + schur_weak_weak_ewa_r050_n25_s5_g100_long_manager] + +SCHUR_GAMMA_100_DIAG_WEAK_LONG_MANAGERS = [schur_diag_weak_pm_t0_r050_n25_s5_g100_long_manager] + +SCHUR_GAMMA_100_WEAK_DIAG_LONG_MANAGERS = [schur_weak_diag_pm_t0_r050_n25_s5_g100_long_manager] + + +SCHUR_GAMMA_100_DIAG_DIAG_LONG_MANAGERS = [schur_diag_diag_ewa_r050_n25_s5_g100_long_manager] + + +SCHUR_GAMMA_100_LONG_MANAGERS = SCHUR_GAMMA_100_ENTROPISH_LONG_MANAGERS + \ + SCHUR_GAMMA_100_WEAK_WEAK_LONG_MANAGERS + \ + SCHUR_GAMMA_100_VOL_VOL_LONG_MANAGERS + \ + SCHUR_GAMMA_100_WEAK_VOL_LONG_MANAGERS + \ + SCHUR_GAMMA_100_DIAG_WEAK_LONG_MANAGERS + \ + SCHUR_GAMMA_100_DIAG_DIAG_LONG_MANAGERS +\ + SCHUR_GAMMA_100_WEAK_DIAG_LONG_MANAGERS + + +# r=0.025... + + +def schur_weak_weak_pm_t0_r025_n50_s5_g050_long_manager(y, s, k=1, e=1, j=1, q=1.0): + assert k == 1 + return schur_weak_weak_pm_manager_factory(y=y, s=s, target=0, e=e, r=0.025, n_emp=50, gamma=0.5, delta=0.0, j=j, + q=q) + + +def schur_weak_weak_pm_t0_r050_n25_s5_g050_long_manager(y, s, k=1, e=1, j=1, q=1.0): + assert k == 1 + return schur_weak_weak_pm_manager_factory(y=y, s=s, target=0, e=e, r=0.050, n_emp=25, gamma=0.5, delta=0.0, j=j, + q=q) + + +def schur_weak_weak_ewa_r025_n50_s5_g050_long_manager(y, s, k=1, e=1, j=1, q=1.0): + assert k == 1 + return schur_weak_weak_ewa_manager_factory(y=y, s=s, e=e, r=0.025, n_emp=50, gamma=0.5, delta=0.0, j=j, q=q) + + +def schur_weak_weak_ewa_r050_n25_s5_g050_long_manager(y, s, k=1, e=1, j=1, q=1.0): + assert k == 1 + return schur_weak_weak_ewa_manager_factory(y=y, s=s, e=e, r=0.05, n_emp=25, gamma=0.5, delta=0.0, j=j, q=q) + + +# -# # r=0.05... + + +def schur_diag_diag_ewa_r050_n25_s5_g050_long_manager(y, s, k=1, e=1, j=1, q=1.0): + assert k == 1 + return schur_diag_diag_ewa_manager_factory(y=y, s=s, e=e, r=0.05, n_emp=25, n_split=5, gamma=0.5, delta=0.0, j=j, + q=q) + + +def schur_diag_weak_pm_t0_r050_n25_s5_g050_long_manager(y, s, k=1, e=1, j=1, q=1.0): + assert k == 1 + return schur_diag_weak_pm_manager_factory(y=y, s=s, e=e, r=0.05, target=0, n_emp=25, n_split=5, gamma=0.5, + delta=0.0, j=j, q=q) + +def schur_weak_diag_pm_t0_r050_n25_s5_g050_long_manager(y, s, k=1, e=1, j=1, q=1.0): + assert k == 1 + return schur_weak_diag_pm_manager_factory(y=y, s=s, e=e, r=0.05, target=0, n_emp=25, n_split=5, gamma=0.5, + delta=0.0, j=j, q=q) + + +SCHUR_GAMMA_050_LONG_MANAGERS_NOT_USING_PPO = [ schur_weak_weak_pm_t0_r025_n50_s5_g050_long_manager, + schur_weak_weak_pm_t0_r050_n25_s5_g050_long_manager, + schur_weak_weak_ewa_r025_n50_s5_g050_long_manager, + schur_weak_weak_ewa_r050_n25_s5_g050_long_manager, + schur_diag_diag_ewa_r050_n25_s5_g050_long_manager, + schur_diag_weak_pm_t0_r050_n25_s5_g050_long_manager, + schur_weak_diag_pm_t0_r050_n25_s5_g050_long_manager + ] + +if using_pyportfolioopt: + from precise.skaters.managers.schurmanagerfactory import schur_weak_vol_ewa_manager_factory + def schur_weak_vol_ewa_r050_n25_s5_g050_long_manager(y, s, k=1, e=1, j=1, q=1.0): + assert k == 1 + return schur_weak_vol_ewa_manager_factory(y=y, s=s, e=e, r=0.05, n_emp=25, n_split=5, gamma=0.5, delta=0.0, j=j, + q=q) + + from precise.skaters.managers.schurmanagerfactory import schur_vol_vol_ewa_manager_factory + def schur_vol_vol_ewa_r050_n25_s5_g050_long_manager(y, s, k=1, e=1, j=1, q=1.0): + assert k == 1 + return schur_vol_vol_ewa_manager_factory(y=y, s=s, e=e, r=0.05, n_emp=25, n_split=5, gamma=0.5, delta=0.0, j=j, q=q) + + SCHUR_GAMMA_050_LONG_MANAGERS_USING_PPO = [schur_weak_vol_ewa_r050_n25_s5_g050_long_manager, + schur_vol_vol_ewa_r050_n25_s5_g050_long_manager] +else: + SCHUR_GAMMA_050_LONG_MANAGERS_USING_PPO = [] + + +SCHUR_GAMMA_050_LONG_MANAGERS = SCHUR_GAMMA_050_LONG_MANAGERS_USING_PPO + \ + SCHUR_GAMMA_050_LONG_MANAGERS_NOT_USING_PPO + + +def schur_weak_weak_pm_t0_r025_n50_s5_g000_long_manager(y, s, k=1, e=1, j=1, q=1.0): + assert k == 1 + return schur_weak_weak_pm_manager_factory(y=y, s=s, target=0, e=e, r=0.025, n_emp=50, gamma=0.0, delta=0.0, j=j, + q=q, n_split=5) + + +def schur_weak_weak_pm_t0_r025_n50_s5_g010_long_manager(y, s, k=1, e=1, j=1, q=1.0): + assert k == 1 + return schur_weak_weak_pm_manager_factory(y=y, s=s, target=0, e=e, r=0.025, n_emp=50, gamma=0.1, delta=0.0, j=j, + q=q, n_split=5) + + +def schur_weak_weak_pm_t0_r025_n50_s5_g020_long_manager(y, s, k=1, e=1, j=1, q=1.0): + assert k == 1 + return schur_weak_weak_pm_manager_factory(y=y, s=s, target=0, e=e, r=0.025, n_emp=50, gamma=0.2, delta=0.0, j=j, + q=q, n_split=5) + + +def schur_weak_weak_pm_t0_r025_n50_s5_g030_long_manager(y, s, k=1, e=1, j=1, q=1.0): + assert k == 1 + return schur_weak_weak_pm_manager_factory(y=y, s=s, target=0, e=e, r=0.025, n_emp=50, gamma=0.3, delta=0.0, j=j, + q=q, n_split=5) + + +def schur_weak_weak_pm_t0_r025_n50_s5_g040_long_manager(y, s, k=1, e=1, j=1, q=1.0): + assert k == 1 + return schur_weak_weak_pm_manager_factory(y=y, s=s, target=0, e=e, r=0.025, n_emp=50, gamma=0.4, delta=0.0, j=j, + q=q, n_split=5) + + +def schur_weak_weak_pm_t0_r025_n50_s5_g050_long_manager(y, s, k=1, e=1, j=1, q=1.0): + assert k == 1 + return schur_weak_weak_pm_manager_factory(y=y, s=s, target=0, e=e, r=0.025, n_emp=50, gamma=0.5, delta=0.0, j=j, + q=q, n_split=5) + + +def schur_weak_weak_pm_t0_r025_n50_s5_g060_long_manager(y, s, k=1, e=1, j=1, q=1.0): + assert k == 1 + return schur_weak_weak_pm_manager_factory(y=y, s=s, target=0, e=e, r=0.025, n_emp=50, gamma=0.6, delta=0.0, j=j, + q=q, n_split=5) + + +def schur_weak_weak_pm_t0_r025_n50_s5_g070_long_manager(y, s, k=1, e=1, j=1, q=1.0): + assert k == 1 + return schur_weak_weak_pm_manager_factory(y=y, s=s, target=0, e=e, r=0.025, n_emp=50, gamma=0.7, delta=0.0, j=j, + q=q, n_split=5) + + +def schur_weak_weak_pm_t0_r025_n50_s5_g080_long_manager(y, s, k=1, e=1, j=1, q=1.0): + assert k == 1 + return schur_weak_weak_pm_manager_factory(y=y, s=s, target=0, e=e, r=0.025, n_emp=50, gamma=0.8, delta=0.0, j=j, + q=q, n_split=5) + + +def schur_weak_weak_pm_t0_r025_n50_s5_g090_long_manager(y, s, k=1, e=1, j=1, q=1.0): + assert k == 1 + return schur_weak_weak_pm_manager_factory(y=y, s=s, target=0, e=e, r=0.025, n_emp=50, gamma=0.9, delta=0.0, j=j, + q=q, n_split=5) + + +def schur_weak_weak_pm_t0_r025_n50_s5_g100_long_manager(y, s, k=1, e=1, j=1, q=1.0): + assert k == 1 + return schur_weak_weak_pm_manager_factory(y=y, s=s, target=0, e=e, r=0.025, n_emp=50, gamma=1.0, delta=0.0, j=j, + q=q) + + +SCHUR_PM_S5_LONG_MANAGERS = [schur_weak_weak_pm_t0_r025_n50_s5_g000_long_manager, + schur_weak_weak_pm_t0_r025_n50_s5_g010_long_manager, + schur_weak_weak_pm_t0_r025_n50_s5_g020_long_manager, + schur_weak_weak_pm_t0_r025_n50_s5_g030_long_manager, + schur_weak_weak_pm_t0_r025_n50_s5_g040_long_manager, + schur_weak_weak_pm_t0_r025_n50_s5_g050_long_manager, + schur_weak_weak_pm_t0_r025_n50_s5_g060_long_manager, + schur_weak_weak_pm_t0_r025_n50_s5_g070_long_manager, + schur_weak_weak_pm_t0_r025_n50_s5_g080_long_manager, + schur_weak_weak_pm_t0_r025_n50_s5_g090_long_manager, + schur_weak_weak_pm_t0_r025_n50_s5_g100_long_manager] + + +def schur_weak_weak_pm_t0_r025_n50_s2_g000_long_manager(y, s, k=1, e=1, j=1, q=1.0): + assert k == 1 + return schur_weak_weak_pm_manager_factory(y=y, s=s, target=0, e=e, r=0.025, n_emp=50, gamma=0.0, delta=0.0, j=j, + q=q, n_split=2) + + +def schur_weak_weak_pm_t0_r025_n50_s2_g010_long_manager(y, s, k=1, e=1, j=1, q=1.0): + assert k == 1 + return schur_weak_weak_pm_manager_factory(y=y, s=s, target=0, e=e, r=0.025, n_emp=50, gamma=0.1, delta=0.0, j=j, + q=q, n_split=2) + + +def schur_weak_weak_pm_t0_r025_n50_s2_g020_long_manager(y, s, k=1, e=1, j=1, q=1.0): + assert k == 1 + return schur_weak_weak_pm_manager_factory(y=y, s=s, target=0, e=e, r=0.025, n_emp=50, gamma=0.2, delta=0.0, j=j, + q=q, n_split=2) + + +def schur_weak_weak_pm_t0_r025_n50_s2_g030_long_manager(y, s, k=1, e=1, j=1, q=1.0): + assert k == 1 + return schur_weak_weak_pm_manager_factory(y=y, s=s, target=0, e=e, r=0.025, n_emp=50, gamma=0.3, delta=0.0, j=j, + q=q, n_split=2) + + +def schur_weak_weak_pm_t0_r025_n50_s2_g040_long_manager(y, s, k=1, e=1, j=1, q=1.0): + assert k == 1 + return schur_weak_weak_pm_manager_factory(y=y, s=s, target=0, e=e, r=0.025, n_emp=50, gamma=0.4, delta=0.0, j=j, + q=q, n_split=2) + + +SCHUR_PM_S2_LONG_MANAGERS = [schur_weak_weak_pm_t0_r025_n50_s2_g000_long_manager, + schur_weak_weak_pm_t0_r025_n50_s2_g010_long_manager, + schur_weak_weak_pm_t0_r025_n50_s2_g020_long_manager, + schur_weak_weak_pm_t0_r025_n50_s2_g030_long_manager, + schur_weak_weak_pm_t0_r025_n50_s2_g040_long_manager] + + + +def schur_weak_weak_pm_t0_r050_n25_s5_g010_long_manager(y, s, k=1, e=1, j=1, q=1.0): + assert k == 1 + return schur_weak_weak_pm_manager_factory(y=y, s=s, target=0, e=e, r=0.050, n_emp=25, gamma=0.1, delta=0.0, j=j, + q=q) + + +def schur_weak_weak_ewa_r025_n50_s5_g010_long_manager(y, s, k=1, e=1, j=1, q=1.0): + assert k == 1 + return schur_weak_weak_ewa_manager_factory(y=y, s=s, e=e, r=0.025, n_emp=50, gamma=0.1, delta=0.0, j=j, q=q) + + +def schur_weak_weak_ewa_r050_n25_s5_g010_long_manager(y, s, k=1, e=1, j=1, q=1.0): + assert k == 1 + return schur_weak_weak_ewa_manager_factory(y=y, s=s, e=e, r=0.05, n_emp=25, gamma=0.1, delta=0.0, j=j, q=q) + + +# -# + + +def schur_diag_diag_ewa_r050_n25_s5_g010_long_manager(y, s, k=1, e=1, j=1, q=1.0): + assert k == 1 + return schur_diag_diag_ewa_manager_factory(y=y, s=s, e=e, r=0.05, n_emp=25, n_split=5, gamma=0.1, delta=0.0, j=j, + q=q) + + +def schur_diag_weak_pm_t0_r050_n25_s5_g010_long_manager(y, s, k=1, e=1, j=1, q=1.0): + assert k == 1 + return schur_diag_weak_pm_manager_factory(y=y, s=s, e=e, r=0.05, target=0, n_emp=25, n_split=5, gamma=0.1, + delta=0.0, j=j, q=q) + + +def schur_diag_weak_pm_t0_r050_n25_s5_g010_l21_long_manager(y, s, k=1, e=1, j=1, q=1.0): + assert k == 1 + return schur_diag_weak_pm_manager_factory(y=y, s=s, e=e, r=0.05, target=0, n_emp=25, n_split=5, gamma=0.5, + delta=0.0, l=21, j=j, q=q) + + +def schur_diag_weak_pm_t0_r050_n25_s5_g010_l11_long_manager(y, s, k=1, e=1, j=1, q=1.0): + assert k == 1 + return schur_diag_weak_pm_manager_factory(y=y, s=s, e=e, r=0.05, target=0, n_emp=25, n_split=5, gamma=0.5, + delta=0.0, l=11, j=j, q=q) + + +def schur_diag_weak_pm_t0_r050_n25_s5_g010_l7_long_manager(y, s, k=1, e=1, j=1, q=1.0): + assert k == 1 + return schur_diag_weak_pm_manager_factory(y=y, s=s, e=e, r=0.05, target=0, n_emp=25, n_split=5, gamma=0.5, + delta=0.0, l=7, j=j, q=q) + + +def schur_weak_diag_pm_t0_r050_n25_s5_g010_l7_long_manager(y, s, k=1, e=1, j=1, q=1.0): + assert k == 1 + return schur_weak_diag_pm_manager_factory(y=y, s=s, e=e, r=0.05, target=0, n_emp=25, n_split=5, gamma=0.5, + delta=0.0, l=7, j=j, q=q) + + +SCHUR_GAMMA_010_LONG_MANAGERS_NOT_USING_PPO = [schur_weak_weak_pm_t0_r025_n50_s5_g010_long_manager, + schur_weak_weak_pm_t0_r050_n25_s5_g010_long_manager, + schur_weak_weak_ewa_r025_n50_s5_g010_long_manager, + schur_weak_weak_ewa_r050_n25_s5_g010_long_manager, + schur_diag_diag_ewa_r050_n25_s5_g010_long_manager, + schur_diag_weak_pm_t0_r050_n25_s5_g010_long_manager, + schur_diag_weak_pm_t0_r050_n25_s5_g010_l11_long_manager, + schur_diag_weak_pm_t0_r050_n25_s5_g010_l21_long_manager, + schur_diag_weak_pm_t0_r050_n25_s5_g010_l7_long_manager, + schur_weak_diag_pm_t0_r050_n25_s5_g010_l7_long_manager] + +if using_pyportfolioopt: + from precise.skaters.managers.schurmanagerfactory import schur_weak_vol_ewa_manager_factory + def schur_weak_vol_ewa_r050_n25_s5_g010_long_manager(y, s, k=1, e=1, j=1, q=1.0): + assert k == 1 + return schur_weak_vol_ewa_manager_factory(y=y, s=s, e=e, r=0.05, n_emp=25, n_split=5, + gamma=0.1, delta=0.0, j=j,q=q) + + + from precise.skaters.managers.schurmanagerfactory import schur_vol_vol_ewa_manager_factory + def schur_vol_vol_ewa_r050_n25_s5_g010_long_manager(y, s, k=1, e=1, j=1, q=1.0): + assert k == 1 + return schur_vol_vol_ewa_manager_factory(y=y, s=s, e=e, r=0.05, n_emp=25, n_split=5, gamma=0.1, delta=0.0, j=j, q=q) + + + SCHUR_GAMMA_010_LONG_MANAGERS_USING_PPO = [ schur_weak_vol_ewa_r050_n25_s5_g010_long_manager, + schur_vol_vol_ewa_r050_n25_s5_g010_long_manager] +else: + SCHUR_GAMMA_010_LONG_MANAGERS_USING_PPO = [] + + +SCHUR_GAMMA_010_LONG_MANAGERS = SCHUR_GAMMA_010_LONG_MANAGERS_USING_PPO +\ + SCHUR_GAMMA_010_LONG_MANAGERS_NOT_USING_PPO + + + + +def schur_weak_weak_pm_t0_r025_n50_s5_g000_long_manager(y, s, k=1, e=1, j=1, q=1.0): + assert k == 1 + return schur_weak_weak_pm_manager_factory(y=y, s=s, target=0, e=e, r=0.025, n_emp=50, gamma=0, delta=0.0, j=j, q=q) + + +def schur_weak_weak_pm_t0_r050_n25_s5_g000_long_manager(y, s, k=1, e=1, j=1, q=1.0): + assert k == 1 + return schur_weak_weak_pm_manager_factory(y=y, s=s, target=0, e=e, r=0.050, n_emp=25, gamma=0, delta=0.0, j=j, q=q) + + +def schur_weak_weak_ewa_r025_n50_s5_g000_long_manager(y, s, k=1, e=1, j=1, q=1.0): + assert k == 1 + return schur_weak_weak_ewa_manager_factory(y=y, s=s, e=e, r=0.025, n_emp=50, gamma=0, delta=0.0, j=j, q=q) + + +def schur_weak_weak_ewa_r050_n25_s5_g000_long_manager(y, s, k=1, e=1, j=1, q=1.0): + assert k == 1 + return schur_weak_weak_ewa_manager_factory(y=y, s=s, e=e, r=0.05, n_emp=25, gamma=0, delta=0.0, j=j, q=q) + + +# -# + + +def schur_diag_diag_ewa_r050_n25_s5_g000_long_manager(y, s, k=1, e=1, j=1, q=1.0): + assert k == 1 + return schur_diag_diag_ewa_manager_factory(y=y, s=s, e=e, r=0.05, n_emp=25, n_split=5, gamma=0, delta=0.0, j=j, q=q) + + +def schur_diag_weak_pm_t0_r050_n25_s5_g000_long_manager(y, s, k=1, e=1, j=1, q=1.0): + assert k == 1 + return schur_diag_weak_pm_manager_factory(y=y, s=s, e=e, r=0.05, target=0, n_emp=25, n_split=5, gamma=0, delta=0.0, + j=j, q=q) + +SCHUR_GAMMA_000_LONG_MANAGERS_NOT_USING_PPO = [schur_weak_weak_pm_t0_r025_n50_s5_g000_long_manager, + schur_weak_weak_pm_t0_r050_n25_s5_g000_long_manager, + schur_weak_weak_ewa_r025_n50_s5_g000_long_manager, + schur_weak_weak_ewa_r050_n25_s5_g000_long_manager, + schur_diag_diag_ewa_r050_n25_s5_g000_long_manager, + schur_diag_weak_pm_t0_r050_n25_s5_g000_long_manager] + +if using_pyportfolioopt: + from precise.skaters.managers.schurmanagerfactory import schur_weak_vol_ewa_manager_factory + def schur_weak_vol_ewa_r050_n25_s5_g000_long_manager(y, s, k=1, e=1, j=1, q=1.0): + assert k == 1 + return schur_weak_vol_ewa_manager_factory(y=y, s=s, e=e, r=0.05, n_emp=25, n_split=5, gamma=0, delta=0.0, j=j, q=q) + + from precise.skaters.managers.schurmanagerfactory import schur_vol_vol_ewa_manager_factory + def schur_vol_vol_ewa_r050_n25_s5_g000_long_manager(y, s, k=1, e=1, j=1, q=1.0): + assert k == 1 + return schur_vol_vol_ewa_manager_factory(y=y, s=s, e=e, r=0.05, n_emp=25, n_split=5, gamma=0, delta=0.0, j=j, q=q) + + SCHUR_GAMMA_000_LONG_MANAGERS_USING_PPO = [schur_weak_vol_ewa_r050_n25_s5_g000_long_manager, + schur_vol_vol_ewa_r050_n25_s5_g000_long_manager] +else: + SCHUR_GAMMA_000_LONG_MANAGERS_USING_PPO = [] + +SCHUR_GAMMA_000_LONG_MANAGERS = SCHUR_GAMMA_000_LONG_MANAGERS_NOT_USING_PPO + \ + SCHUR_GAMMA_000_LONG_MANAGERS_USING_PPO + + +SCHUR_J1_LONG_MANAGERS = SCHUR_GAMMA_100_LONG_MANAGERS + \ + SCHUR_GAMMA_050_LONG_MANAGERS + \ + SCHUR_GAMMA_010_LONG_MANAGERS + \ + SCHUR_GAMMA_000_LONG_MANAGERS + \ + SCHUR_PM_S5_LONG_MANAGERS + \ + SCHUR_PM_S2_LONG_MANAGERS +SCHUR_LS_MANAGERS = [] + +SCHUR_LONG_MANAGERS = SCHUR_J1_LONG_MANAGERS + +SCHUR_MANAGERS = SCHUR_LONG_MANAGERS + SCHUR_LS_MANAGERS diff --git a/precise/skaters/managers/slurpmanagerfactory.py b/precise/skaters/managers/slurpmanagerfactory.py new file mode 100644 index 00000000..4bd75abc --- /dev/null +++ b/precise/skaters/managers/slurpmanagerfactory.py @@ -0,0 +1,40 @@ +from precise.skaters.managers.covmanagerfactory import static_cov_manager_factory_d0 +from precise.skaters.covariance.ewalwfactory import ewa_lw_scov_factory +from precise.skaters.portfoliostatic.schurportfactory import schur_portfolio_factory +from precise.skaters.portfoliostatic.weakalloc import weak_allocation_factory +from functools import partial + +from precise.inclusion.pyportfoliooptinclusion import using_pyportfolioopt +from precise.inclusion.riskparityportfolioinclusion import using_riskparityportfolio + + +if using_pyportfolioopt and using_riskparityportfolio: + from precise.skaters.portfoliostatic.volalloc import vol_allocation_factory + from precise.skaters.portfoliostatic.rpportfactory import rp_portfolio_factory + + + def slurp_vol_manager_factory(y, s, e, r, n_split=5, phi=1.0,gamma=0.0, delta=0, zeta=0,j=1,q=1.0): + """ A sluring of "Schur Ledoit Risk Parity" + + Weak allocation, + RP portfolio with shrinkage phi + + """ + f = partial(ewa_lw_scov_factory, k=1, r=r) + alloc = partial( vol_allocation_factory ) + leaf_port = partial( rp_portfolio_factory, phi=phi ) + sch_port = partial( schur_portfolio_factory, alloc=alloc, port=leaf_port, n_split=n_split, gamma=gamma, delta=delta) + return static_cov_manager_factory_d0(f=f, port=sch_port, y=y, s=s, e=e, zeta=zeta,j=j,q=q) + +if using_riskparityportfolio: + from precise.skaters.portfoliostatic.rpportfactory import rp_portfolio_factory + + def slurp_weak_manager_factory(y, s, e, r, n_split=5, phi=1.0, gamma=0.0, delta=0, zeta=0, j=1, q=1.0): + """ A sluring of "Schur Ledoit Risk Parity" + + """ + f = partial(ewa_lw_scov_factory, k=1, r=r) + alloc = partial(weak_allocation_factory) + leaf_port = partial(rp_portfolio_factory, phi=phi) + sch_port = partial(schur_portfolio_factory, alloc=alloc, port=leaf_port, n_split=n_split, gamma=gamma, delta=delta) + return static_cov_manager_factory_d0(f=f, port=sch_port, y=y, s=s, e=e, zeta=zeta, j=j, q=q) diff --git a/precise/skaters/managers/slurpmanagers.py b/precise/skaters/managers/slurpmanagers.py new file mode 100644 index 00000000..8eb9b16e --- /dev/null +++ b/precise/skaters/managers/slurpmanagers.py @@ -0,0 +1,137 @@ +from precise.inclusion.pyportfoliooptinclusion import using_pyportfolioopt +from precise.inclusion.riskparityportfolioinclusion import using_riskparityportfolio + +if using_pyportfolioopt and using_riskparityportfolio: + from precise.skaters.managers.slurpmanagerfactory import slurp_vol_manager_factory + + def slurp_vol_r025_s2_p20_g000_long_manager(y, s, k=1, e=1,j=1,q=1.0): + return slurp_vol_manager_factory(y=y, s=s, r=0.025, e=e, phi=0.20, gamma=0, delta=0,j=j,q=q, n_split=2) + + + def slurp_vol_r001_s2_p20_g000_long_manger(y, s, k=1, e=1,j=1,q=1.0): + return slurp_vol_manager_factory(y=y, s=s, r=0.01, e=e, phi=0.20, gamma=0, delta=0,j=j,q=q, n_split=2) + + + def slurp_vol_r025_s5_p20_g000_long_manager(y, s, k=1, e=1,j=1,q=1.0): + return slurp_vol_manager_factory(y=y, s=s, r=0.025, e=e, phi=0.20, gamma=0, delta=0,j=j,q=q, n_split=5) + + + def slurp_vol_r001_s5_p20_g000_long_manger(y, s, k=1, e=1,j=1,q=1.0): + return slurp_vol_manager_factory(y=y, s=s, r=0.01, e=e, phi=0.20, gamma=0, delta=0,j=j,q=q, n_split=5) + + + def slurp_vol_r025_s25_p20_g000_long_manager(y, s, k=1, e=1,j=1,q=1.0): + return slurp_vol_manager_factory(y=y, s=s, r=0.025, e=e, phi=0.20, gamma=0, delta=0,j=j,q=q, n_split=25) + + + def slurp_vol_r001_s25_p20_g000_long_manger(y, s, k=1, e=1,j=1,q=1.0): + return slurp_vol_manager_factory(y=y, s=s, r=0.01, e=e, phi=0.20, gamma=0, delta=0,j=j,q=q, n_split=25) + + + def slurp_vol_r025_s100_p20_g000_long_manager(y, s=100, k=1, e=1,j=1,q=1.0): + return slurp_vol_manager_factory(y=y, s=s, r=0.025, e=e, phi=0.20, gamma=0, delta=0,j=j,q=q, n_split=100) + + + def slurp_vol_r001_s100_p20_g000_long_manger(y, s=100, k=1, e=1,j=1,q=1.0): + return slurp_vol_manager_factory(y=y, s=s, r=0.01, e=e, phi=0.20, gamma=0, delta=0,j=j,q=q, n_split=100) + + + SLURP_GAMMA000_LONG_MANAGERS = [slurp_vol_r025_s2_p20_g000_long_manager, + slurp_vol_r001_s2_p20_g000_long_manger, + slurp_vol_r025_s5_p20_g000_long_manager, + slurp_vol_r001_s5_p20_g000_long_manger, + slurp_vol_r025_s25_p20_g000_long_manager, + slurp_vol_r001_s25_p20_g000_long_manger, + slurp_vol_r025_s100_p20_g000_long_manager, + slurp_vol_r001_s100_p20_g000_long_manger] + + + def slurp_vol_r025_s2_p20_g100_long_manager(y, s, k=1, e=1,j=1,q=1.0): + return slurp_vol_manager_factory(y=y, s=s, r=0.025, e=e, phi=0.20, gamma=1.0, delta=0,j=j,q=q, n_split=2) + + + def slurp_vol_r001_s2_p20_g100_long_manger(y, s=5, k=1, e=1,j=1,q=1.0): + return slurp_vol_manager_factory(y=y, s=s, r=0.01, e=e, phi=0.20, gamma=1.0, delta=0,j=j,q=q, n_split=2) + + + def slurp_vol_r025_s5_p20_g100_long_manager(y, s, k=1, e=1,j=1,q=1.0): + return slurp_vol_manager_factory(y=y, s=s, r=0.025, e=e, phi=0.20, gamma=1.0, delta=0,j=j,q=q, n_split=5) + + + def slurp_vol_r001_s5_p20_g100_long_manger(y, s=5, k=1, e=1,j=1,q=1.0): + return slurp_vol_manager_factory(y=y, s=s, r=0.01, e=e, phi=0.20, gamma=1.0, delta=0,j=j,q=q, n_split=5) + + + def slurp_vol_r025_s25_p20_g100_long_manager(y, s=25, k=1, e=1,j=1,q=1.0): + return slurp_vol_manager_factory(y=y, s=s, r=0.025, e=e, phi=0.20, gamma=1.0, delta=0,j=j,q=q, n_split=25) + + + def slurp_vol_r001_s25_p20_g100_long_manger(y, s=25, k=1, e=1,j=1,q=1.0): + return slurp_vol_manager_factory(y=y, s=s, r=0.01, e=e, phi=0.20, gamma=1.0, delta=0,j=j,q=q, n_split=25) + + + def slurp_vol_r025_s100_p20_g100_long_manager(y, s=100, k=1, e=1,j=1,q=1.0): + return slurp_vol_manager_factory(y=y, s=s, r=0.025, e=e, phi=0.20, gamma=1.0, delta=0,j=j,q=q, n_split=100) + + + def slurp_vol_r001_s100_p20_g100_long_manger(y, s=100, k=1, e=1,j=1,q=1.0): + return slurp_vol_manager_factory(y=y, s=s, r=0.01, e=e, phi=0.20, gamma=1.0, delta=0,j=j,q=q, n_split=100) + + + SLURP_GAMMA100_LONG_MANAGERS = [slurp_vol_r025_s2_p20_g100_long_manager, + slurp_vol_r001_s2_p20_g100_long_manger, + slurp_vol_r025_s5_p20_g100_long_manager, + slurp_vol_r001_s5_p20_g100_long_manger, + slurp_vol_r025_s25_p20_g100_long_manager, + slurp_vol_r001_s25_p20_g100_long_manger, + slurp_vol_r025_s100_p20_g100_long_manager, + slurp_vol_r001_s100_p20_g100_long_manger] + + def slurp_vol_r025_s2_p20_g020_long_manager(y, s, k=1, e=1,j=1,q=1.0): + return slurp_vol_manager_factory(y=y, s=s, r=0.025, e=e, phi=0.20, gamma=0.2, delta=0,j=j,q=q, n_split=2) + + + def slurp_vol_r001_s2_p20_g020_long_manger(y, s=5, k=1, e=1,j=1,q=1.0): + return slurp_vol_manager_factory(y=y, s=s, r=0.01, e=e, phi=0.20, gamma=0.2, delta=0,j=j,q=q, n_split=2) + + + def slurp_vol_r025_s5_p20_g020_long_manager(y, s, k=1, e=1,j=1,q=1.0): + return slurp_vol_manager_factory(y=y, s=s, r=0.025, e=e, phi=0.20, gamma=0.2, delta=0,j=j,q=q, n_split=5) + + + def slurp_vol_r001_s5_p20_g020_long_manger(y, s=5, k=1, e=1,j=1,q=1.0): + return slurp_vol_manager_factory(y=y, s=s, r=0.01, e=e, phi=0.20, gamma=0.2, delta=0,j=j,q=q, n_split=5) + + + def slurp_vol_r025_s25_p20_g020_long_manager(y, s=25, k=1, e=1,j=1,q=1.0): + return slurp_vol_manager_factory(y=y, s=s, r=0.025, e=e, phi=0.20, gamma=0.2, delta=0,j=j,q=q, n_split=25) + + + def slurp_vol_r001_s25_p20_g020_long_manger(y, s=25, k=1, e=1,j=1,q=1.0): + return slurp_vol_manager_factory(y=y, s=s, r=0.01, e=e, phi=0.20, gamma=0.2, delta=0,j=j,q=q, n_split=25) + + + def slurp_vol_r025_s100_p20_g020_long_manager(y, s=100, k=1, e=1,j=1,q=1.0): + return slurp_vol_manager_factory(y=y, s=s, r=0.025, e=e, phi=0.20, gamma=0.2, delta=0,j=j,q=q, n_split=100) + + + def slurp_vol_r001_s100_p20_g020_long_manger(y, s=100, k=1, e=1,j=1,q=1.0): + return slurp_vol_manager_factory(y=y, s=s, r=0.01, e=e, phi=0.20, gamma=0.2, delta=0,j=j,q=q, n_split=100) + + + SLURP_GAMMA020_LONG_MANAGERS = [slurp_vol_r025_s2_p20_g020_long_manager, + slurp_vol_r001_s2_p20_g020_long_manger, + slurp_vol_r025_s5_p20_g020_long_manager, + slurp_vol_r001_s5_p20_g020_long_manger, + slurp_vol_r025_s25_p20_g020_long_manager, + slurp_vol_r001_s25_p20_g020_long_manger, + slurp_vol_r025_s100_p20_g020_long_manager, + slurp_vol_r001_s100_p20_g020_long_manger] + + + SLURP_LONG_MANAGERS = SLURP_GAMMA000_LONG_MANAGERS + \ + SLURP_GAMMA020_LONG_MANAGERS + \ + SLURP_GAMMA100_LONG_MANAGERS +else: + SLURP_LONG_MANAGERS = [] + diff --git a/precise/skaters/managers/weakmanagerfactory.py b/precise/skaters/managers/weakmanagerfactory.py new file mode 100644 index 00000000..6ca9daa7 --- /dev/null +++ b/precise/skaters/managers/weakmanagerfactory.py @@ -0,0 +1,31 @@ +from precise.skaters.managers.covmanagerfactory import static_cov_manager_factory_d0 +from precise.skaters.covariance.ewapm import ewa_pm_factory +from precise.skaters.portfoliostatic.weakportfactory import weak_portfolio_factory, BIG_H +from precise.skaters.covariance.ewaempfactory import ewa_emp_pcov_factory +from functools import partial + + +def weak_pm_manager_factory(y, s, target, n_emp, r, e=1, a=1.0, b=None, h=BIG_H, zeta=0, j=1, q=1.0): + """ + Weak portfolio construction using partial moments cov estimation + """ + f = partial(ewa_pm_factory, k=1, r=r, target=target, n_emp=n_emp) + port = partial(weak_portfolio_factory, a=a, b=b, h=h) + return static_cov_manager_factory_d0(f=f, port=port, y=y, e=e, s=s, zeta=zeta, j=j, q=q) + + +def weak_ewa_manager_factory(y, s, n_emp, r, e=1, a=1.0, b=None, h=BIG_H, zeta=0, j=1, q=1.0): + """ + Weak portfolio construction using partial moments cov estimation + """ + f = partial(ewa_emp_pcov_factory, k=1, r=r, n_emp=n_emp) + port = partial(weak_portfolio_factory, a=a, b=b, h=h) + return static_cov_manager_factory_d0(f=f, port=port, y=y, e=e, s=s, zeta=zeta, j=j, q=q) + + +def weak_manager_factory(y, s, f, a=1.0, e=1, b=None, h=BIG_H, zeta=0, j=1, q=1.0): + """ + Weak portfolio construction using any f + """ + port = partial(weak_portfolio_factory, a=a, b=b, h=h) + return static_cov_manager_factory_d0(f=f, port=port, y=y, s=s, e=e, zeta=zeta, j=j, q=q) diff --git a/precise/skaters/managers/weakmanagers.py b/precise/skaters/managers/weakmanagers.py new file mode 100644 index 00000000..4cd4cdf6 --- /dev/null +++ b/precise/skaters/managers/weakmanagers.py @@ -0,0 +1,118 @@ +from precise.skaters.managers.weakmanagerfactory import weak_pm_manager_factory, weak_ewa_manager_factory, weak_manager_factory +from precise.skaters.covariance.bufsk import buf_sk_glcv_pcov_d0_n100, buf_sk_glcv_pcov_d0_n100_t0, buf_sk_lw_pcov_d0_n100, buf_sk_mcd_pcov_d0_n100, buf_sk_lw_pcov_d1_n100 +from precise.skaters.portfoliostatic.weakportfactory import BIG_H +from precise.skaters.managerutil.buyandhold import buy_and_hold + +USE_JS = False + +def weak_pm_t0_d0_r025_n50_long_manager(y, s, k=1, e=1,j=1,q=1.0): + assert k==1 + return weak_pm_manager_factory(y=y,s=s, target=0, r=0.025, n_emp=50, e=e,j=j) + + +def weak_ewa_t0_d0_r025_n50_long_manager(y, s, k=1, e=1,j=1,q=1.0): + assert k==1 + return weak_ewa_manager_factory(y=y,s=s, r=0.025, n_emp=50, e=e,j=j) + + +def weak_pm_t0_d0_r050_n50_long_manager(y, s, k=1, e=1,j=1,q=1.0): + assert k==1 + return weak_pm_manager_factory(y=y,s=s, target=0, r=0.050, n_emp=50, e=e,j=j) + + +def weak_ewa_t0_d0_r050_n50_long_manager(y, s, k=1, e=1,j=1,q=1.0): + assert k==1 + return weak_ewa_manager_factory(y=y,s=s, r=0.050, n_emp=50, e=e,j=j) + + +# Weak with strong entropish constraint + + +def weak_pm_t0_d0_r025_n50_h125_long_manager(y, s, k=1, e=1,j=1,q=1.0): + assert k==1 + return weak_pm_manager_factory(y=y,s=s, target=0, r=0.025, n_emp=50, h=1.25, e=e,j=j) + + +def weak_ewa_t0_d0_r025_n50_h125_long_manager(y, s, k=1, e=1,j=1,q=1.0): + assert k==1 + return weak_ewa_manager_factory(y=y,s=s, r=0.025, n_emp=50, h=1.25, e=e,j=j) + + +def weak_pm_t0_d0_r050_n50_h125_long_manager(y, s, k=1, e=1,j=1,q=1.0): + assert k==1 + return weak_pm_manager_factory(y=y,s=s, target=0, r=0.050, n_emp=50, h=1.25, e=e,j=j) + + +def weak_ewa_t0_d0_r050_n50_h125_long_manager(y, s, k=1, e=1,j=1,q=1.0): + assert k==1 + return weak_ewa_manager_factory(y=y,s=s, r=0.050, n_emp=50, h=1.25, e=e,j=j) + +# Weak with mild entropish constraint + + +def weak_pm_t0_d0_r025_n50_h500_long_manager(y, s, k=1, e=1,j=1,q=1.0): + assert k==1 + return weak_pm_manager_factory(y=y,s=s, target=0, r=0.025, n_emp=50, h=5, e=e,j=j) + + +def weak_ewa_t0_d0_r025_n50_h500_long_manager(y, s, k=1, e=1,j=1,q=1.0): + assert k==1 + return weak_ewa_manager_factory(y=y,s=s, r=0.025, n_emp=50, h=5, e=e,j=j) + + +def weak_pm_t0_d0_r050_n50_h500_long_manager(y, s, k=1, e=1,j=1,q=1.0): + assert k==1 + return weak_pm_manager_factory(y=y,s=s, target=0, r=0.050, n_emp=50, h=5, e=e,j=j) + + +def weak_ewa_t0_d0_r050_n50_h500_long_manager(y, s, k=1, e=1,j=1,q=1.0): + assert k==1 + return weak_ewa_manager_factory(y=y,s=s, r=0.050, n_emp=50, h=5, e=e,j=j) + + + +# Sklean + + +def weak_sk_lw_pcov_d0_n100_long_manager(y,s,k=1, e=1,j=1,q=1.0): + return weak_manager_factory(y=y,s=s,f=buf_sk_lw_pcov_d0_n100, e=e,j=j) + + +def weak_sk_glcv_pcov_d0_n100_long_manager(y,s,k=1, e=1,j=1,q=1.0): + return weak_manager_factory(y=y,s=s,f=buf_sk_glcv_pcov_d0_n100, e=e,j=j) + + +def weak_sk_glcv_pcov_d0_n100_t0_long_manager(y,s,k=1, e=1,j=1,q=1.0): + return weak_manager_factory(y=y,s=s,f=buf_sk_glcv_pcov_d0_n100_t0, e=e,j=j) + + +def weak_sk_mcd_pcov_d0_n100_long_manager(y,s,k=1, e=1,j=1,q=1.0): + return weak_manager_factory(y=y,s=s,f=buf_sk_mcd_pcov_d0_n100, e=e,j=j) + + +WEAK_J1_LONG_MANAGERS = [weak_pm_t0_d0_r025_n50_long_manager, + weak_ewa_t0_d0_r025_n50_long_manager, + weak_pm_t0_d0_r050_n50_long_manager, + weak_ewa_t0_d0_r050_n50_long_manager, + weak_pm_t0_d0_r025_n50_h125_long_manager, + weak_ewa_t0_d0_r025_n50_h125_long_manager, + weak_pm_t0_d0_r050_n50_h125_long_manager, + weak_ewa_t0_d0_r050_n50_h500_long_manager, + weak_pm_t0_d0_r025_n50_h500_long_manager, + weak_ewa_t0_d0_r025_n50_h500_long_manager, + weak_pm_t0_d0_r050_n50_h500_long_manager, + weak_ewa_t0_d0_r050_n50_h500_long_manager, + weak_sk_lw_pcov_d0_n100_long_manager, + weak_sk_glcv_pcov_d0_n100_long_manager, + weak_sk_glcv_pcov_d0_n100_t0_long_manager, + weak_sk_mcd_pcov_d0_n100_long_manager + ] + +if USE_JS: + WEAK_J5_LONG_MANAGERS = [ buy_and_hold(mgr,j=5) for mgr in WEAK_J1_LONG_MANAGERS ] + WEAK_J20_LONG_MANAGERS = [ buy_and_hold(mgr,j=20) for mgr in WEAK_J1_LONG_MANAGERS ] +else: + WEAK_J5_LONG_MANAGERS = [] + WEAK_J20_LONG_MANAGERS = [] + +WEAK_LONG_MANAGERS = WEAK_J1_LONG_MANAGERS+WEAK_J5_LONG_MANAGERS+WEAK_J20_LONG_MANAGERS \ No newline at end of file diff --git a/precise/skaters/managerutil/__init__.py b/precise/skaters/managerutil/__init__.py new file mode 100644 index 00000000..e69de29b diff --git a/precise/skaters/managerutil/buyandhold.py b/precise/skaters/managerutil/buyandhold.py new file mode 100644 index 00000000..120f06b8 --- /dev/null +++ b/precise/skaters/managerutil/buyandhold.py @@ -0,0 +1,15 @@ +from functools import partial, update_wrapper + + +def buy_and_hold(mgr, j, q=1.0): + """ + Use this to make a canonically named manager with j and q fixed that does not expect j, q arguments + + :param mgr: + :param j: + :return: + """ + mgr_j_q = partial(mgr,j=j, q=q) + mgr_j_q = update_wrapper(mgr_j_q, mgr) + mgr_j_q.__name__ = mgr.__name__+'_j'+str(j)+'_q'+str(int(100*q)).zfill(3) + return mgr_j_q diff --git a/precise/skaters/managerutil/ratcheting.md b/precise/skaters/managerutil/ratcheting.md new file mode 100644 index 00000000..e69de29b diff --git a/precise/skaters/managerutil/ratcheting.py b/precise/skaters/managerutil/ratcheting.py new file mode 100644 index 00000000..4cd2b44f --- /dev/null +++ b/precise/skaters/managerutil/ratcheting.py @@ -0,0 +1,125 @@ + +from precise.skaters.locationutil.vectorfunctions import normalize +import math +import numpy as np + + +def ratchet_portfolios(ys, w, w_lower, w_upper, min_dw=1e-6)->([float], dict): + """ + + Process a month of data (say) with ratcheting trading to upper and lower envelope + + + :param ys: num_days y num_assets log returns + :param w: portfolio at start of period + :param w_lower: + :param w_upper: + :param min_dw: + :return: w, stats + """ + print('not tested') + w_prev = np.array(w) + ys = np.array(ys).tolist() + stats = {'profit':list(), + 'volume':list()} + for y in ys: + w_grow = w_prev*np.exp(y) + stats['profit'].append(math.log(np.sum(w_grow))) + w_roll = normalize( w_grow ) + w_next = ratchet_portfolios( w = w_roll, w_lower=w_lower, w_upper=w_upper, min_dw=min_dw ) + l1_trading_dist = sum(np.abs(w_next-w_prev)) + stats['volume'].append(l1_trading_dist) + w_prev = w_next + return w_next, stats + + + +def ratchet_trades(w, w_lower, w_upper, min_dw:float=1e-6)->[float]: + """ + Given a current portfolio w, and upper and lower envelopes, this + procedure will try to construct a list of allocation adjustments dw summing + to zero that take w to a new portfolio w+dw that is closer to satisfying + + w_lower <= w + dw <= w_upper + + The algorithms steps are as follows: + + 1. Determine all envelope-restoring buys and sells + 2. Sort by decreasing size into two piles: potential buy and potential sell queues + 3. If total sell volume exceeds buy volume, pop a trade off the front of the buy queue (or conversely) + 4. At each step of a greedy loop, take from the buy queue if existing trades net short (or conversely) + 5. Once a trade list is created in this fashion, walk backwards and at the first opportunity, + reduce the size of one trade so that all net trading sums to zero + + :param w: Current portfolio + :param w_lower: Lower envelope + :param w_upper: Upper envelope + :param min_dw: Minimum size of a reallocation + :return: dw: Trades that move w towards envelope + """ + + # Create a list of sell and buy opportunities (size, direction, ndx) in decreasing size + sells = sorted( + [[max(0, wi - wui), -1, i] for i, (wi, wui) in enumerate(zip(w, w_upper)) if (wi > wui + min_dw)], + reverse=True) + buys = sorted( + [[max(0, wli - wi), 1, i] for i, (wi, wli) in enumerate(zip(w, w_lower)) if (wli - wi > min_dw)], + reverse=True) + + buy_volume = sum([trade[0] for trade in buys]) + sell_volume = sum([trade[0] for trade in sells]) + if sell_volume > buy_volume: + trades = [sells.pop(0)] + elif buy_volume > sell_volume: + trades = [buys.pop(0)] + else: + # We're already in the envelope + return [0 for _ in w] + + # Walk down the queues and greedy balance buys and sells + while True: + net = sum([trade[0] * trade[1] for trade in trades]) + if (net > 0): + # We have been net buyers thus far + if len(sells) == 0: + break + else: + trades.append(sells.pop(0)) + else: + # We have been net sellers thus far + if len(buys) ==0: + break + else: + trades.append(buys.pop(0)) + + # Walk back up and balance + pos = len(trades)-1 + while True: + tr = trades[pos] + tr_dir = tr[1] + if ((net > 0) and (tr_dir>0)) or ((net < 0) and (tr_dir<0)): + trades[pos][0] = trades[pos][0] - abs(net) + break + else: + pos = pos-1 + + # Kill zero trades + trades = [ tr for tr in trades if abs(tr[1])>1e-9 ] + + # Convert back to trades + dw = [0 for _ in w ] + for tr in trades: + dw[tr[2]] = tr[0]*tr[1] + return dw + + + + +if __name__=='__main__': + w = [0.1, 0.2, 0.1, 0.05, 0.025, 0.1, 0.025, 0.3, 0.1] + w_lower = [0.075]*len(w) + w_upper = [0.125]*len(w) + dw = ratchet_trades(w=w,w_lower=w_lower,w_upper=w_upper) + + + diff --git a/precise/skaters/portfoliostatic/README.md b/precise/skaters/portfoliostatic/README.md new file mode 100644 index 00000000..6b20fb8f --- /dev/null +++ b/precise/skaters/portfoliostatic/README.md @@ -0,0 +1,6 @@ + +Portfolio construction utilities includes + + - Portfolio construction from known cov or pre matrices + - Typically not "online", although can be used with online cov or pre skaters + \ No newline at end of file diff --git a/precise/skaters/portfoliostatic/__init__.py b/precise/skaters/portfoliostatic/__init__.py new file mode 100644 index 00000000..e69de29b diff --git a/precise/skaters/portfoliostatic/allstaticalloc.py b/precise/skaters/portfoliostatic/allstaticalloc.py new file mode 100644 index 00000000..6f79696f --- /dev/null +++ b/precise/skaters/portfoliostatic/allstaticalloc.py @@ -0,0 +1,5 @@ +from precise.skaters.portfoliostatic.weakalloc import WEAK_ALLOC +from precise.skaters.portfoliostatic.diagalloc import DIAG_ALLOC +from precise.skaters.portfoliostatic.volalloc import VOL_ALLOC + +ALLOC = WEAK_ALLOC + DIAG_ALLOC + VOL_ALLOC \ No newline at end of file diff --git a/precise/skaters/portfoliostatic/allstaticport.py b/precise/skaters/portfoliostatic/allstaticport.py new file mode 100644 index 00000000..f35c783f --- /dev/null +++ b/precise/skaters/portfoliostatic/allstaticport.py @@ -0,0 +1,26 @@ +from precise.skaters.portfoliostatic.ppoport import PPO_LS_PORT, PPO_LONG_PORT +from precise.skaters.portfoliostatic.weakport import WEAK_LONG_PORT, WEAK_LS_PORT +from precise.skaters.portfoliostatic.diagport import DIAG_LONG_PORT +from precise.skaters.portfoliostatic.hrpport import HRP_LONG_PORT, HRP_LS_PORT +from precise.skaters.portfoliostatic.schurport import SCHUR_LONG_PORT, SCHUR_LS_PORT +from precise.skaters.portfoliostatic.unitport import UNIT_LS_PORT, UNIT_LONG_PORT +from precise.skaters.portfoliostatic.equalport import EQUAL_LONG_PORT, EQUAL_LS_PORT +from precise.skaters.portfoliostatic.rpport import RP_LONG_PORT + +import random + +LONG_PORT = PPO_LONG_PORT + WEAK_LONG_PORT + DIAG_LONG_PORT + HRP_LONG_PORT + UNIT_LONG_PORT +\ + SCHUR_LONG_PORT + EQUAL_LONG_PORT + RP_LONG_PORT +LS_PORT = PPO_LS_PORT + HRP_LS_PORT + WEAK_LS_PORT + SCHUR_LS_PORT + UNIT_LS_PORT + EQUAL_LS_PORT +PORT = LONG_PORT + LS_PORT + + +def random_port(): + return random.choice(PORT) + + +if __name__=='__main__': + from precise.skatervaluation.portfoliocomparisonutil.portcomparison import stock_portfolio_variance_points_race + report = stock_portfolio_variance_points_race(n_iter=5000, ports=LONG_PORT, n_dim=500, n_obs=100, k=5, n_top=100) + from pprint import pprint + pprint(report) \ No newline at end of file diff --git a/precise/skaters/portfoliostatic/diagalloc.py b/precise/skaters/portfoliostatic/diagalloc.py new file mode 100644 index 00000000..956b0f27 --- /dev/null +++ b/precise/skaters/portfoliostatic/diagalloc.py @@ -0,0 +1,8 @@ +from precise.skaters.portfoliostatic.diagallocfactory import diagonal_allocation_factory + + +def diag_alloc(covs=None, pres=None): + return diagonal_allocation_factory(covs=covs, pres=pres) + + +DIAG_ALLOC = [ diag_alloc ] \ No newline at end of file diff --git a/precise/skaters/portfoliostatic/diagallocfactory.py b/precise/skaters/portfoliostatic/diagallocfactory.py new file mode 100644 index 00000000..fce47db4 --- /dev/null +++ b/precise/skaters/portfoliostatic/diagallocfactory.py @@ -0,0 +1,28 @@ +from precise.skaters.portfolioutil.portfunctions import portfolio_variance +from precise.skaters.portfoliostatic.diagportfactory import diagonal_portfolio_factory +from typing import List +from itertools import zip_longest +from precise.skaters.locationutil.vectorfunctions import normalize + + +def diagonal_portfolio_variance(cov=None, pre=None, ridge=0.1): + """ + Variance of the unit min-var portfolio + (Used in some hierarchical methods to allocate capital) + """ + w = diagonal_portfolio_factory(pre=pre, cov=cov, ridge=ridge) + return portfolio_variance(cov=cov,w=w) + + +def diagonal_allocation_factory(covs:List, pres:List=None, ridge=0.1)->[float]: + """ Allocate capital between portfolios using either cov or pre matrices + :param covs: List of covariancecomparisonutil matrices + :param pres: List of precision matrices + :return: Capital allocation vector + """ + if pres is None: + pres = [] + # Remark: This was used in Marco Lopez de Prado's original HRP portfolio paper https://papers.ssrn.com/sol3/papers.cfm?abstract_id=2708678 + return normalize([ 1/diagonal_portfolio_variance(cov=cov, pre=pre, ridge=ridge) for cov, pre in zip_longest(covs, pres, fillvalue=None) ]) + + diff --git a/precise/skaters/portfoliostatic/diagport.py b/precise/skaters/portfoliostatic/diagport.py new file mode 100644 index 00000000..f035c622 --- /dev/null +++ b/precise/skaters/portfoliostatic/diagport.py @@ -0,0 +1,9 @@ +from precise.skaters.portfoliostatic.diagportfactory import diagonal_portfolio_factory + + +def diag_long_port(cov=None, pre=None): + return diagonal_portfolio_factory(cov=cov, pre=pre) + + +DIAG_LONG_PORT = [ diag_long_port ] +DIAG_PORT = DIAG_LONG_PORT \ No newline at end of file diff --git a/precise/skaters/portfoliostatic/diagportfactory.py b/precise/skaters/portfoliostatic/diagportfactory.py new file mode 100644 index 00000000..b8975c01 --- /dev/null +++ b/precise/skaters/portfoliostatic/diagportfactory.py @@ -0,0 +1,41 @@ +import numpy as np +from precise.skaters.covarianceutil.covfunctions import try_invert, approx_diag_of_inv +from precise.skaters.locationutil.vectorfunctions import normalize +from precise.skaters.portfoliostatic.equalport import equal_long_port + +# Use only the diagonal elements of cov + + +def diagonal_portfolio_factory(pre=None, cov=None, sparse_approx=False, ridge=0.1): + """ Min-var portfolio using only diagonal entries in cov + (e.g. precision weighting of stacked models) + :param pre: precision matrix + :param cov: covariancecomparisonutil matrix + :param sparse_approx: Use fast approximate inversion of precision matrix + :return: + """ + if pre is not None: + return diagonal_from_pre(pre=pre, sparse_approx=sparse_approx, ridge=ridge) + else: + return diagonal_from_cov(cov=cov, ridge=ridge) + + +def diagonal_from_pre(pre, sparse_approx=False, ridge=0.1): + """ Signed min var portfolio summing to unity """ + if sparse_approx: + cov = np.diag( approx_diag_of_inv(pre) ) + else: + cov = try_invert(pre) + return diagonal_from_cov(cov=cov, ridge=ridge) + + +def diagonal_from_cov(cov, ridge=0.1): + d = np.diag(cov) + if any([di<1e-6 for di in d]): + return equal_long_port(cov=cov) + else: + mean_cov = np.mean(d) + return normalize( [ 1/(d+ridge*mean_cov) for d in np.diag(cov)] ) + + + diff --git a/precise/skaters/portfoliostatic/equalport.py b/precise/skaters/portfoliostatic/equalport.py new file mode 100644 index 00000000..0ac75330 --- /dev/null +++ b/precise/skaters/portfoliostatic/equalport.py @@ -0,0 +1,28 @@ +import numpy as np +from precise.skaters.locationutil.vectorfunctions import normalize +import pandas as pd + + +def equal_long_port(cov=None, pre=None, as_dense=False): + """ + Equal weighted portfolio + :param as_dense If True, will always return np.array even if cov or pre + """ + if pre is not None: + n_dim = np.shape(pre)[0] + else: + n_dim = np.shape(cov)[0] + w = np.array(normalize(np.ones(n_dim))) + + as_series = (not as_dense) and ((cov is not None) and isinstance(cov,pd.DataFrame)) or ((pre is not None) and isinstance(pre,pd.DataFrame)) + if as_series: + return pd.Series(index=cov.columns, data=w) + else: + return w + + + + +EQUAL_LONG_PORT = [ equal_long_port ] +EQUAL_LS_PORT = [] +EQUAL_PORT = EQUAL_LONG_PORT + EQUAL_LS_PORT \ No newline at end of file diff --git a/precise/skaters/portfoliostatic/hrpport.py b/precise/skaters/portfoliostatic/hrpport.py new file mode 100644 index 00000000..d3f774de --- /dev/null +++ b/precise/skaters/portfoliostatic/hrpport.py @@ -0,0 +1,60 @@ +from precise.skaters.portfoliostatic.diagportfactory import diagonal_portfolio_factory +from precise.skaters.portfoliostatic.weakportfactory import weak_portfolio_factory +from precise.skaters.portfoliostatic.unitportfactory import unit_portfolio_factory +from precise.skaters.portfoliostatic.hrpportfactory import hierarchical_risk_parity_portfolio_factory +from precise.skaters.portfoliostatic.diagalloc import diag_alloc +from precise.skaters.portfoliostatic.unitalloc import unit_alloc +from precise.skaters.portfoliostatic.weakalloc import weak_long_alloc + + +# Hierarchical Risk-Parity + + +def hrp_diag_diag_s5_long_port(cov=None, pre=None): + # Lopez de Prado 2016 + # Allocate using diagonal + return hierarchical_risk_parity_portfolio_factory(port=diagonal_portfolio_factory, alloc=diag_alloc, cov=cov, pre=pre, n_split=5) + + +def hrp_unit_unit_s5_port(cov=None, pre=None): + return hierarchical_risk_parity_portfolio_factory(port=unit_portfolio_factory, alloc=unit_alloc, cov=cov, pre=pre, n_split=5) + + +def hrp_weak_weak_s5_long_port(cov=None, pre=None): + return hierarchical_risk_parity_portfolio_factory(port=weak_portfolio_factory, alloc=weak_long_alloc, cov=cov, pre=pre, n_split=5) + + +# Weak allocation ... + +def hrp_unit_weak_s5_port(cov=None, pre=None): + return hierarchical_risk_parity_portfolio_factory(port=unit_portfolio_factory, alloc=unit_alloc, cov=cov, pre=pre, n_split=5) + + +def hrp_diag_weak_s5_long_port(cov=None, pre=None): + return hierarchical_risk_parity_portfolio_factory(port=diagonal_portfolio_factory, alloc=weak_long_alloc, cov=cov, pre=pre, n_split=5) + + +# Diag allocation, but different portfolios + +def hrp_unit_diag_s5_port(cov=None, pre=None): + return hierarchical_risk_parity_portfolio_factory(port=unit_portfolio_factory, alloc=unit_alloc, cov=cov, pre=pre, n_split=5) + + +def hrp_weak_diag_s5_long_port(cov=None, pre=None): + return hierarchical_risk_parity_portfolio_factory(port=weak_portfolio_factory, alloc=diag_alloc, cov=cov, pre=pre, n_split=5) + + + + + +HRP_LONG_PORT = [hrp_weak_weak_s5_long_port, hrp_diag_diag_s5_long_port, hrp_diag_weak_s5_long_port, hrp_weak_diag_s5_long_port] +HRP_LS_PORT = [hrp_unit_unit_s5_port, hrp_unit_weak_s5_port, hrp_unit_diag_s5_port] +HRP_PORT = HRP_LONG_PORT + HRP_LS_PORT + + + +if __name__=='__main__': + from precise.skatervaluation.portfoliocomparisonutil.portcomparison import m6_equity_portfolio_correlation_rankings + from pprint import pprint + rankings = m6_equity_portfolio_correlation_rankings(ports=HRP_PORT, n_dim=40) + pprint(rankings) \ No newline at end of file diff --git a/precise/skaters/portfoliostatic/hrpportfactory.py b/precise/skaters/portfoliostatic/hrpportfactory.py new file mode 100644 index 00000000..8b8b0154 --- /dev/null +++ b/precise/skaters/portfoliostatic/hrpportfactory.py @@ -0,0 +1,19 @@ +from precise.skaters.portfoliostatic.schurportfactory import schur_portfolio_factory + +# A version of hierarchical risk parity + + +def hierarchical_risk_parity_portfolio_factory(cov=None, pre=None, port=None, port_kwargs=None, + alloc=None, alloc_kwargs=None, + n_split=5, delta=0.0, jiggle=True): + """ + A special case of schur portfolio optimization with gamma=0.0 + """ + gamma = 0.0 + seriation_depth = 1 + return schur_portfolio_factory(cov=cov, pre=pre, port=port, port_kwargs=port_kwargs, + alloc=alloc, alloc_kwargs=alloc_kwargs, + n_split=n_split, gamma=gamma, delta=delta, + jiggle=jiggle, seriation_depth=seriation_depth) + + diff --git a/precise/skaters/portfoliostatic/porttesting.py b/precise/skaters/portfoliostatic/porttesting.py new file mode 100644 index 00000000..cf4da617 --- /dev/null +++ b/precise/skaters/portfoliostatic/porttesting.py @@ -0,0 +1,11 @@ + +from precise.skatervaluation.portfoliocomparisonutil.portcomparison import m6_equity_portfolio_correlation_rankings + + +def ports_test(ports, n_dim=10): + """ + A quick crude way to test a slew of portfolio generation functions + + ports: List of portfolio generators + """ + return m6_equity_portfolio_correlation_rankings(ports, n_dim=n_dim) diff --git a/precise/skaters/portfoliostatic/ppoport.py b/precise/skaters/portfoliostatic/ppoport.py new file mode 100644 index 00000000..acb2a9f2 --- /dev/null +++ b/precise/skaters/portfoliostatic/ppoport.py @@ -0,0 +1,38 @@ +from precise.skaters.portfoliostatic.ppoportfactory import ppo_portfolio_factory, PPO_LONG_BOUNDS, PPO_UNIT_BOUNDS +# Using PyPortfolioOpt, with some minor tweaks +from precise.inclusion.pyportfoliooptinclusion import using_pyportfolioopt + +if using_pyportfolioopt: + + def ppo_sharpe_long_port(cov=None, pre=None, as_dense=True): + return ppo_portfolio_factory(method='max_sharpe', cov=cov, pre=pre, as_dense=as_dense, weight_bounds=PPO_LONG_BOUNDS) + + + def ppo_vol_long_port(cov=None, pre=None, as_dense=True): + return ppo_portfolio_factory(method='min_volatility', cov=cov, pre=pre, as_dense=as_dense, weight_bounds=PPO_LONG_BOUNDS) + + + def ppo_quad_long_port(cov=None, pre=None, as_dense=True): + return ppo_portfolio_factory(method='max_quadratic_utility', cov=cov, pre=pre, as_dense=as_dense, weight_bounds=PPO_LONG_BOUNDS) + + + def ppo_sharpe_port(cov=None, pre=None, as_dense=True): + return ppo_portfolio_factory(method='max_sharpe', cov=cov, pre=pre, as_dense=as_dense, weight_bounds=PPO_UNIT_BOUNDS) + + + def ppo_vol_port(cov=None, pre=None, as_dense=True): + return ppo_portfolio_factory(method='min_volatility', cov=cov, pre=pre, as_dense=as_dense, weight_bounds=PPO_UNIT_BOUNDS) + + + def ppo_quad_port(cov=None, pre=None, as_dense=True): + return ppo_portfolio_factory(method='max_quadratic_utility', cov=cov, pre=pre, as_dense=as_dense, weight_bounds=PPO_UNIT_BOUNDS) + + + PPO_LONG_PORT = [ ppo_sharpe_long_port, ppo_vol_long_port, ppo_quad_long_port ] + PPO_LS_PORT = [ ppo_sharpe_port, ppo_vol_port, ppo_quad_port ] + PPO_PORT = PPO_LONG_PORT + PPO_LS_PORT + +else: + PPO_LONG_PORT = [] + PPO_LS_PORT = [] + PPO_PORT = PPO_LONG_PORT + PPO_LS_PORT \ No newline at end of file diff --git a/precise/skaters/portfoliostatic/ppoportfactory.py b/precise/skaters/portfoliostatic/ppoportfactory.py new file mode 100644 index 00000000..42c55302 --- /dev/null +++ b/precise/skaters/portfoliostatic/ppoportfactory.py @@ -0,0 +1,185 @@ +import numpy as np +import pandas as pd +from precise.skaters.covarianceutil.covfunctions import to_symmetric, dense_weights_from_dict, normalize_dict_values, nearest_pos_def +from precise.skaters.covarianceutil.covfunctions import try_invert +from precise.skaters.locationutil.vectorfunctions import normalize +from precise.skaters.portfolioutil.portfunctions import portfolio_variance +from typing import List +from itertools import zip_longest +from precise.skaters.portfolioutil.portfunctions import var_scaled_returns +from precise.skaters.covarianceutil.covrandom import jiggle_cov +from precise.inclusion.pyportfoliooptinclusion import using_pyportfolioopt + + + +try: + from scipy.sparse.linalg import ArpackNoConvergence +except ImportError: + from scipy.sparse.linalg.eigen import ArpackNoConvergence + +from precise.skaters.covarianceutil.covfunctions import affine_shrink + +# Thin wrapper for PyPortfolioOpt +# For full flexibility refer to the package https://pyportfolioopt.readthedocs.io/en/latest/MeanVariance.html + +COV_NOISE = 0.0 +VAR_NOISE = 0.0 + + +PPO_METHODS = ['max_sharpe','min_volatility','max_quadratic_utility'] +PPO_LONG_BOUNDS = (0, 1) +PPO_UNIT_BOUNDS = (-1, 1) + + +if using_pyportfolioopt: + from pypfopt.exceptions import OptimizationError + from cvxpy.error import SolverError + from pypfopt import EfficientFrontier + + + def ppo_sharpe_port(cov=None, pre=None, as_dense=True): + """ Max Sharpe ratio portfolio using cov-implied returns + :param cov: Covariance matrix + :param pre: Precision matrix + :param as_dense: If false, will return weights in dict formet + :return: np.array of weights + """ + return ppo_portfolio_factory(method='max_sharpe', cov=cov, pre=pre, as_dense=as_dense, weight_bounds=PPO_LONG_BOUNDS) + + + def ppo_vol_port(cov=None, pre=None, as_dense=True): + return ppo_portfolio_factory(method='min_volatility', cov=cov, pre=pre, as_dense=as_dense, weight_bounds=PPO_LONG_BOUNDS) + + + def ppo_quad_port(cov=None, pre=None, as_dense=True): + return ppo_portfolio_factory(method='max_quadratic_utility', cov=cov, pre=pre, as_dense=as_dense, weight_bounds=PPO_LONG_BOUNDS) + + + def ppo_sharpe_ls_port(cov=None, pre=None, as_dense=True): + return ppo_portfolio_factory(method='max_sharpe', cov=cov, pre=pre, as_dense=as_dense, weight_bounds=PPO_UNIT_BOUNDS) + + + def ppo_vol_ls_port(cov=None, pre=None, as_dense=True): + return ppo_portfolio_factory(method='min_volatility', cov=cov, pre=pre, as_dense=as_dense, weight_bounds=PPO_UNIT_BOUNDS) + + + def ppo_quad_ls_port(cov=None, pre=None, as_dense=True): + return ppo_portfolio_factory(method='max_quadratic_utility', cov=cov, pre=pre, as_dense=as_dense, weight_bounds=PPO_UNIT_BOUNDS) + + + def ppo_portfolio_factory(method:str, cov=None, pre=None, as_dense=False, weight_bounds=None, + risk_free_rate:float=0.02, mu:float=0.04, n_attempts=5, warn=False, throw=False, noise=0.0): + """ + :param method: + :param cov: + :param pre: + :param as_dense: If set to True, will force return of np.array even if supplied dataframe + :param weight_bounds: + :return: Can return a dictionary of variable names and weights + """ + + expected_returns = var_scaled_returns(cov=cov,mu=mu,r=risk_free_rate, noise=VAR_NOISE) + + if weight_bounds is None: + weight_bounds = PPO_LONG_BOUNDS + + if cov is None: + cov = try_invert(pre) + + # Set return style + as_series = (not as_dense) and isinstance(cov,pd.DataFrame) + + if noise>1e-12: + # Jiggle cov + jiggled_cov = jiggle_cov(cov=cov, noise=noise) + else: + jiggled_cov = np.copy(cov) + + # Tidy up cov and send to optimizer ... repeatedly with more shrinkage as needed + shrunk_cov = nearest_pos_def( to_symmetric( jiggled_cov) ) + converged = False + warned = False + for attempt_no in range(n_attempts): + n_dim = np.shape(cov)[0] + ef = EfficientFrontier(expected_returns=expected_returns, cov_matrix=shrunk_cov, + weight_bounds=weight_bounds) + port_method = getattr(ef, method) + try: + if method=='max_sharpe': + port_method(risk_free_rate=risk_free_rate) + else: + port_method() + converged = True + except (OptimizationError, SolverError, ArpackNoConvergence, UserWarning): + converged = False + if converged: + break + else: + warned = True + if warn: + print(' warning: '+method+' did not converge on attempt '+str(attempt_no)) + shrunk_cov = affine_shrink(a=shrunk_cov,phi=1.02, lmbd=0.01, copy=False) + + if not converged: + if throw: + raise NotImplementedError('pyportfolio opt failed even after shrinkage') + else: + print(' PyPortfolioOpt failed ... falling back to minimum variance') + from precise.skaters.portfoliostatic.equalport import equal_long_port + return equal_long_port(cov=cov, as_dense=not as_series) + + if converged and warned: + if warn: + print(' ... but with shrinkage it converges okay.') + + weights = ef.clean_weights() + weights = normalize_dict_values(weights) + + if as_series: + return pd.Series( index=list(weights.keys()), data=list(weights.values()) ) + else: + return dense_weights_from_dict(weights, n_dim=n_dim) + + + def ppo_vol_long_from_cov(cov, as_dense=True): + """ Backward compat """ + return ppo_vol_port(cov=cov, as_dense=as_dense) + + + def ppo_vol_long_from_pre(pre, as_dense=True): + """ Backward compate """ + return ppo_vol_port(pre=pre, as_dense=as_dense) + + + def ppo_portfolio_variance(method:str, cov=None, pre=None): + """ + Variance of the unit min-var portfolio + (Used in some hierarchical methods to allocate capital) + """ + w = ppo_portfolio_factory(method=method, pre=pre, cov=cov) + return portfolio_variance(cov=cov,w=w) + + + def ppo_sharpe_alloc(covs:List, pres:List)->[float]: + return _ppo_portfolio_allocation(method='max_sharpe', covs=covs, pres=pres) + + + def ppo_vol_alloc(covs:List, pres:List)->[float]: + return _ppo_portfolio_allocation(method='min_volatility', covs=covs, pres=pres) + + + def ppo_quad_alloc(covs:List, pres:List)->[float]: + return _ppo_portfolio_allocation(method='max_quadratic_utility', covs=covs, pres=pres) + + + def _ppo_portfolio_allocation(method:str, covs:List, pres:List)->[float]: + """ Allocate capital between portfolios using either cov or pre matrices + :param covs: List of covariancecomparisonutil matrices + :param pres: List of precision matrices + :return: Capital allocation vector + """ + return normalize([ 1/ppo_portfolio_variance(method=method, cov=cov, pre=pre) for cov, pre in zip_longest(covs, pres, fillvalue=None) ]) + +else: + def ppo_portfolio_factory(*args,**kwargs): + raise ImportError('pip install pyportfolioopt') diff --git a/precise/skaters/portfoliostatic/rpport.py b/precise/skaters/portfoliostatic/rpport.py new file mode 100644 index 00000000..18e48ab8 --- /dev/null +++ b/precise/skaters/portfoliostatic/rpport.py @@ -0,0 +1,67 @@ +from precise.skaters.covarianceutil.covfunctions import multiply_diag + +from precise.inclusion.riskparityportfolioinclusion import using_riskparityportfolio + +if using_riskparityportfolio: + + from precise.skaters.portfoliostatic.rpportfactory import rp_portfolio_factory + + + def rp_port_p100(cov=None, pre=None): + return rp_portfolio_factory(cov=cov, pre=pre, phi=1.0) + + + def rp_port_p90(cov=None, pre=None): + return rp_portfolio_factory(cov=cov, pre=pre,phi=0.9) + + + def rp_port_p80(cov=None, pre=None): + return rp_portfolio_factory(cov=cov,pre=pre,phi=0.8) + + + def rp_port_p70(cov=None, pre=None): + return rp_portfolio_factory(cov=cov, pre=pre,phi=0.7) + + + def rp_port_p61(cov=None, pre=None): + return rp_portfolio_factory(cov=cov, pre=pre,phi=0.61) + + + def rp_port_p60(cov=None, pre=None): + return rp_portfolio_factory(cov=cov, pre=pre,phi=0.6) + + + def rp_port_p59(cov=None, pre=None): + return rp_portfolio_factory(cov=cov, pre=pre,phi=0.59) + + + def rp_port_p50(cov=None, pre=None): + return rp_portfolio_factory(cov=cov, pre=pre,phi=0.5) + + + def rp_port_p40(cov=None, pre=None): + return rp_portfolio_factory(cov=cov, pre=pre,phi=0.4) + + + def rp_port_p30(cov=None, pre=None): + return rp_portfolio_factory(cov=cov, pre=pre,phi=0.3) + + + def rp_port_p20(cov=None, pre=None): + return rp_portfolio_factory(cov=cov, pre=pre,phi=0.2) + + + def rp_port_p10(cov=None, pre=None): + return rp_portfolio_factory(cov=cov, pre=pre,phi=0.1) + + + def rp_port_p0(cov=None, pre=None): + return rp_portfolio_factory(cov=cov, pre=pre,phi=0.0) + + + RP_LONG_PORT = [rp_port_p100, rp_port_p70, rp_port_p80, rp_port_p90, + rp_port_p40, rp_port_p50, rp_port_p59, rp_port_p60, rp_port_p61, + rp_port_p10, rp_port_p20, rp_port_p30, rp_port_p0] + +else: + RP_LONG_PORT = [] \ No newline at end of file diff --git a/precise/skaters/portfoliostatic/rpportfactory.py b/precise/skaters/portfoliostatic/rpportfactory.py new file mode 100644 index 00000000..cffd6927 --- /dev/null +++ b/precise/skaters/portfoliostatic/rpportfactory.py @@ -0,0 +1,43 @@ + +import numpy as np +from precise.skaters.covarianceutil.covfunctions import try_invert +from precise.inclusion.riskparityportfolioinclusion import using_riskparityportfolio + +if using_riskparityportfolio: + import riskparityportfolio as rp + from precise.skaters.portfolioutil.portfunctions import var_scaled_returns + import pandas as pd + from precise.skaters.covarianceutil.covfunctions import multiply_off_diag + from precise.skaters.portfoliostatic.equalport import equal_long_port + from precise.skaters.covarianceutil.covrandom import jiggle_cov + from precise.skaters.covarianceutil.covfunctions import to_symmetric, nearest_pos_def + + + # Thin wrapper for riskparityportfolio package + + def rp_portfolio_factory(pre=None, cov=None, mu=0.02, risk_free_rate=0.02, phi=1.0, noise=0.0): + """ Signed min var portfolio summing to unity """ + + if cov is None: + cov = try_invert(pre) + cov = multiply_off_diag(cov,phi=phi) + + expected_returns = var_scaled_returns(cov=cov,mu=mu,r=risk_free_rate) + + if noise>1e-12: + # Jiggle cov + jiggled_cov = jiggle_cov(cov=cov) + else: + jiggled_cov = np.copy(cov) + + # Tidy up cov and send to optimizer ... repeatedly with more shrinkage as needed + shrunk_cov = nearest_pos_def(to_symmetric(jiggled_cov)) + + w = rp.vanilla.design(shrunk_cov, b=expected_returns) + if any([np.isnan(wi) for wi in w]): + return equal_long_port(cov=cov) + return w + + + + diff --git a/precise/skaters/portfoliostatic/schurport.py b/precise/skaters/portfoliostatic/schurport.py new file mode 100644 index 00000000..ca3b922e --- /dev/null +++ b/precise/skaters/portfoliostatic/schurport.py @@ -0,0 +1,115 @@ +from precise.skaters.portfoliostatic.diagportfactory import diagonal_portfolio_factory +from precise.skaters.portfoliostatic.weakportfactory import weak_portfolio_factory +from precise.skaters.portfoliostatic.unitportfactory import unit_portfolio_factory +from precise.skaters.portfoliostatic.schurportfactory import schur_portfolio_factory +from precise.skaters.portfoliostatic.diagalloc import diag_alloc +from precise.skaters.portfoliostatic.unitalloc import unit_alloc +from precise.skaters.portfoliostatic.weakalloc import weak_long_alloc + +# Schur complement portfolios + +# Some that use the same portfolio constructor as allocation... + + +def schur_unit_unit_s5_g100_port(cov=None, pre=None): + return schur_portfolio_factory(port=unit_portfolio_factory, alloc=unit_alloc, cov=cov, pre=pre, n_split=5, gamma=1.0) + + +def schur_weak_weak_s5_g100_long_port(cov=None, pre=None): + return schur_portfolio_factory(port=weak_portfolio_factory, alloc=weak_long_alloc, cov=cov, pre=pre, n_split=5, gamma=1.0) + + +def schur_diag_diag_s5_g100_long_port(cov=None, pre=None): + return schur_portfolio_factory(port=diagonal_portfolio_factory, alloc=diag_alloc, cov=cov, pre=pre, n_split=5, gamma=1.0) + + +def schur_unit_unit_s5_g050_port(cov=None, pre=None): + return schur_portfolio_factory(port=unit_portfolio_factory, alloc=unit_alloc, cov=cov, pre=pre, n_split=5, gamma=0.5) + + +def schur_weak_weak_s5_g050_long_port(cov=None, pre=None): + return schur_portfolio_factory(port=weak_portfolio_factory, alloc=weak_long_alloc, cov=cov, pre=pre, n_split=5, gamma=0.5) + + +def schur_diag_diag_s5_g050_long_port(cov=None, pre=None): + return schur_portfolio_factory(port=diagonal_portfolio_factory, alloc=diag_alloc, cov=cov, pre=pre, n_split=5, gamma=0.5) + + +def schur_unit_weak_s5_g100_port(cov=None, pre=None): + return schur_portfolio_factory(port=unit_portfolio_factory, alloc=weak_long_alloc, cov=cov, pre=pre, n_split=5, gamma=1.0) + + +def schur_weak_diag_s5_g100_long_port(cov=None, pre=None): + return schur_portfolio_factory(port=weak_portfolio_factory, alloc=diag_alloc, cov=cov, pre=pre, n_split=5, gamma=1.0) + + +def schur_diag_weak_s5_g050_long_port(cov=None, pre=None): + return schur_portfolio_factory(port=diagonal_portfolio_factory, alloc=weak_long_alloc, cov=cov, pre=pre, n_split=5, gamma=0.5) + + +def schur_unit_weak_s5_g050_port(cov=None, pre=None): + return schur_portfolio_factory(port=unit_portfolio_factory, alloc=weak_long_alloc, cov=cov, pre=pre, n_split=5, gamma=0.5) + + +def schur_weak_diag_s5_g050_long_port(cov=None, pre=None): + return schur_portfolio_factory(port=weak_portfolio_factory, alloc=diag_alloc, cov=cov, pre=pre, n_split=5, gamma=0.5) + + +def schur_weak_weak_s2_gcombo_long_port(cov=None, pre=None): + from precise.skaters.portfolioutil.portfunctions import combine_portfolios + return combine_portfolios([ schur_portfolio_factory(port=weak_portfolio_factory, alloc=weak_long_alloc, cov=cov, pre=pre, n_split=2, gamma=gamma) for gamma in [0,0.25,0.5,0.75,1.0]]) + + +def schur_weak_diag_s5_gcombo_long_port(cov=None, pre=None): + from precise.skaters.portfolioutil.portfunctions import combine_portfolios + return combine_portfolios([ schur_portfolio_factory(port=weak_portfolio_factory, alloc=diag_alloc, cov=cov, pre=pre, n_split=2, gamma=gamma) for gamma in [0,0.25,0.5,0.75,1.0]]) + + +def schur_diag_weak_s5_gcombo_long_port(cov=None, pre=None): + from precise.skaters.portfolioutil.portfunctions import combine_portfolios + return combine_portfolios([ schur_portfolio_factory(port=diagonal_portfolio_factory, alloc=weak_long_alloc, cov=cov, pre=pre, n_split=2, gamma=gamma) for gamma in [0,0.25,0.5,0.75,1.0]]) + + +def schur_weak_weak_s5_gcombo_long_port(cov=None, pre=None): + from precise.skaters.portfolioutil.portfunctions import combine_portfolios + return combine_portfolios([ schur_portfolio_factory(port=weak_portfolio_factory, alloc=weak_long_alloc, cov=cov, pre=pre, n_split=2, gamma=gamma) for gamma in [0,0.25,0.5,0.75,1.0]]) + + +def schur_diag_diag_s2_gcombo_long_port(cov=None, pre=None): + from precise.skaters.portfolioutil.portfunctions import combine_portfolios + return combine_portfolios([ schur_portfolio_factory(port=diagonal_portfolio_factory, alloc=diag_alloc, cov=cov, pre=pre, n_split=2, gamma=gamma) for gamma in [0,0.25,0.5,0.75,1.0]]) + + +def schur_diag_diag_s5_gcombo_long_port(cov=None, pre=None): + from precise.skaters.portfolioutil.portfunctions import combine_portfolios + return combine_portfolios([ schur_portfolio_factory(port=diagonal_portfolio_factory, alloc=diag_alloc, cov=cov, pre=pre, n_split=2, gamma=gamma) for gamma in [0,0.25,0.5,0.75,1.0]]) + + +def schur_weak_weak_s2_g100_long_port(cov=None, pre=None): + return schur_portfolio_factory(port=weak_portfolio_factory, alloc=weak_long_alloc, cov=cov, pre=pre, n_split=2, gamma=1.0) + + +def schur_weak_weak_s2_g050_long_port(cov=None, pre=None): + return schur_portfolio_factory(port=weak_portfolio_factory, alloc=weak_long_alloc, cov=cov, pre=pre, n_split=2, gamma=0.5) + + +SCHUR_LONG_COMBOS = [ schur_weak_weak_s2_gcombo_long_port, schur_weak_weak_s5_gcombo_long_port, + schur_diag_diag_s2_gcombo_long_port, schur_diag_diag_s5_gcombo_long_port, + schur_diag_weak_s5_gcombo_long_port, schur_weak_diag_s5_gcombo_long_port] + +SCHUR_LONG_PORT = [schur_diag_diag_s5_g100_long_port, schur_weak_weak_s5_g100_long_port, + schur_diag_diag_s5_g050_long_port, schur_weak_weak_s5_g050_long_port, + schur_weak_diag_s5_g100_long_port, schur_weak_diag_s5_g050_long_port, + schur_weak_weak_s2_g100_long_port, schur_weak_weak_s2_g050_long_port] + SCHUR_LONG_COMBOS +SCHUR_LS_PORT = [schur_unit_unit_s5_g100_port, schur_unit_unit_s5_g050_port] +SCHUR_PORT = SCHUR_LONG_PORT + SCHUR_LS_PORT + + + +if __name__=='__main__': + from precise.skatervaluation.portfoliocomparisonutil.portcomparison import stock_portfolio_variance_rankings + from precise.skaters.portfoliostatic.hrpport import HRP_PORT + from precise.skaters.portfoliostatic.rpport import RP_LONG_PORT + from pprint import pprint + rankings = stock_portfolio_variance_rankings(ports=SCHUR_PORT + HRP_PORT + RP_LONG_PORT, n_dim=11) + pprint(rankings) diff --git a/precise/skaters/portfoliostatic/schurportfactory.py b/precise/skaters/portfoliostatic/schurportfactory.py new file mode 100644 index 00000000..2167a74e --- /dev/null +++ b/precise/skaters/portfoliostatic/schurportfactory.py @@ -0,0 +1,160 @@ +from precise.skaters.portfoliostatic.diagportfactory import diagonal_portfolio_factory +from precise.skaters.portfoliostatic.diagalloc import diag_alloc +from pprint import pprint +from precise.skaters.portfoliostatic.schurportutil import schur_augmentation, symmetric_step_up_matrix, even_split +import numpy as np +from precise.skaters.portfoliostatic.equalport import equal_long_port +from precise.skaters.covarianceutil.covrandom import jiggle_cov +from precise.skaters.covarianceutil.covfunctions import cov_distance, try_invert + + +def schur_portfolio_factory(cov=None, pre=None, port=None, port_kwargs=None, + alloc=None, alloc_kwargs=None, + n_split=5, gamma=1.0, delta=0.0, + seriation_depth=10, jiggle=True): + """ + A divide and conquer allocation strategy using seriation, and augmented sub-covariancecomparisonutil matrices + + :param cov: + :param port: Method to use on leaves + :param port_kwargs: + :param alloc: Method to use to allocate + :param alloc_kwargs: + :param n_split: Minimum size to split + :param gamma: + :param delta: + :param seriation_depth: + :return: + """ + + if cov is None: + cov = try_invert(pre) + + splitter = even_split + splitter_kwargs = {'n_split':n_split} + from precise.skaters.covarianceutil.covfunctions import seriation + seriator = seriation + seriator_kwargs = {} + + if jiggle: + jiggled_cov = jiggle_cov(cov=cov) + else: + jiggled_cov = np.copy(cov) + + return hierarchical_schur_complementary_portfolio_with_defaults(seriator=seriator, seriator_kwargs=seriator_kwargs, + seriation_depth=seriation_depth, + port=port, port_kwargs=port_kwargs, + alloc=alloc, alloc_kwargs=alloc_kwargs, + splitter=splitter, splitter_kwargs=splitter_kwargs, + cov=jiggled_cov, + gamma=gamma, delta=delta) + + +def hierarchical_schur_complementary_portfolio_with_defaults(cov=None, port=None, port_kwargs=None, + alloc=None, alloc_kwargs=None, + splitter=None, splitter_kwargs=None, + seriator=None, seriator_kwargs=None, + seriation_depth=10, + delta=0.0, gamma=1.0): + + if alloc is None: + alloc = diag_alloc + + if port is None: + port = diagonal_portfolio_factory + + if port_kwargs is None: + port_kwargs = {} + + if alloc_kwargs is None: + alloc_kwargs = {} + + return hierarchical_schur_complementary_portfolio(cov=cov, port=port, port_kwargs=port_kwargs, + alloc=alloc, alloc_kwargs=alloc_kwargs, + splitter=splitter, splitter_kwargs=splitter_kwargs, + seriator = seriator, seriator_kwargs=seriator_kwargs, + seriation_depth=seriation_depth, + delta=delta, gamma=gamma) + + +def hierarchical_schur_complementary_portfolio(cov, port, port_kwargs, + alloc, alloc_kwargs, + splitter, splitter_kwargs, + seriator, seriator_kwargs, + seriation_depth, + delta, gamma): + """ + An experimental way to split allocation + """ + n = np.shape(cov)[0] + n1, n2 = splitter(cov, **splitter_kwargs) + assert n1+n2==n + if n1<=1 or n2<=1: + # If the portfolio is not too big, apply to leaves directly + w = port(cov, **port_kwargs) + if isinstance(w,list): + print('Warning: '+port.__name__+' returns list not array ') + w = np.array(w) + return w + else: + # 1. Establish ordering, or bail out altogether + if any(np.diag(cov) < 1e-8): + return equal_long_port(cov=cov) + elif seriation_depth<=0: + ndx = list(range(n1+n2)) + else: + cov_dist = cov_distance(cov) + ndx = seriator(cov_dist, **seriator_kwargs) + inv_ndx = np.argsort(ndx) + cov_cols = cov[:, ndx] + cov_back = cov_cols[:, inv_ndx] + assert np.allclose(cov, cov_back) + ordered_cov = cov_cols[ndx, :] + + # 2. Split + A = ordered_cov[:n1, :n1] + D = ordered_cov[n1:, n1:] + B = ordered_cov[:n1, n1:] + C = ordered_cov[n1:, :n1] # = B.T + + # 3. Augment and allocate + Ag, Dg, info = schur_augmentation(A=A, B=B, C=C, D=D, gamma=gamma) + aA, aD = alloc(covs=[Ag, Dg]) + if True: + # 3a. Just for interest, compare allocations. This is research code :) + aA_original, aD_original = alloc(covs=[A, D]) + allocationRatioA = (aA / aA_original) + info.update({'allocationRatioA':allocationRatioA}) + if False: + pprint({'allocationRatioA':allocationRatioA}) + + # Sub-allocate + wA = hierarchical_schur_complementary_portfolio(cov=Ag, port=port, port_kwargs=port_kwargs, + alloc=alloc, alloc_kwargs=alloc_kwargs, + splitter=splitter, splitter_kwargs=splitter_kwargs, + seriator=seriator, seriator_kwargs=seriator_kwargs, + seriation_depth = seriation_depth-1, + delta=delta, gamma=gamma) + wD = hierarchical_schur_complementary_portfolio(cov=Dg, port=port, port_kwargs=port_kwargs, + alloc=alloc, alloc_kwargs=alloc_kwargs, + splitter=splitter, splitter_kwargs=splitter_kwargs, + seriator=seriator, seriator_kwargs=seriator_kwargs, + seriation_depth=seriation_depth - 1, + delta=delta, gamma=gamma) + # Reconstruct + ordered_w = np.concatenate([aA * np.array(wA), aD * np.array(wD)]) + + # Undo seriation ordering + try: + w = ordered_w[inv_ndx] + except TypeError: + print('Warning: ' + port.__name__ + ' returns list not array - should really fix this ') + w = np.array(ordered_w)[inv_ndx] + return np.array(w) + + + +if __name__=='__main__': + M = symmetric_step_up_matrix(n1=7, n2=6) + print(np.dot(M, np.ones(6))) + print(np.dot(M.transpose()*6/7,np.ones(7))) diff --git a/precise/skaters/portfoliostatic/schurportutil.py b/precise/skaters/portfoliostatic/schurportutil.py new file mode 100644 index 00000000..3e9d831f --- /dev/null +++ b/precise/skaters/portfoliostatic/schurportutil.py @@ -0,0 +1,149 @@ +import numpy as np +from precise.skaters.covarianceutil.covfunctions import schur_complement, \ + to_symmetric, multiply_by_inverse, inverse_multiply, is_positive_def, nearest_pos_def +from scipy.optimize import root_scalar + + +def schur_augmentation(A,B,C,D, gamma): + """ + Mess with A, D to try to incorporate some off-diag info + """ + if gamma>0.0: + max_gamma = _maximal_gamma(A=A, B=B, C=C, D=D) + augA, bA = pseudo_schur_complement(A=A, B=B, C=C, D=D, gamma=gamma * max_gamma) + augD, bD = pseudo_schur_complement(A=D, B=C, C=B, D=A, gamma=gamma * max_gamma) + + augmentation_fail = False + if not is_positive_def(augA): + try: + Ag = nearest_pos_def(augA) + except np.linalg.LinAlgError: + augmentation_fail=True + else: + Ag = augA + if not is_positive_def(augD): + try: + Dg = nearest_pos_def(augD) + except np.linalg.LinAlgError: + augmentation_fail=True + else: + Dg = augD + + if augmentation_fail: + print('Warning: augmentation failed') + reductionA = 1.0 + reductionD = 1.0 + reductionRatioA = 1.0 + Ag = A + Dg = D + else: + reductionD = np.linalg.norm(Dg)/np.linalg.norm(D) + reductionA = np.linalg.norm(Ag)/np.linalg.norm(A) + reductionRatioA = reductionA/reductionD + else: + reductionRatioA = 1.0 + reductionA = 1.0 + reductionD = 1.0 + Ag = A + Dg = D + + info = {'reductionA': reductionA, + 'reductionD': reductionD, + 'reductionRatioA': reductionRatioA} + return Ag, Dg, info + + + +def pseudo_schur_complement(A, B, C, D, gamma, lmbda=None, warn=False): + """ + Augmented cov matrix for "A" inspired by the Schur complement + """ + if lmbda is None: + lmbda=gamma + try: + Ac_raw = schur_complement(A=A, B=B, C=C, D=D, gamma=gamma) + nA = np.shape(A)[0] + nD = np.shape(D)[0] + Ac = to_symmetric(Ac_raw) + M = symmetric_step_up_matrix(n1=nA, n2=nD) + Mt = np.transpose(M) + BDinv = multiply_by_inverse(B, D, throw=False) + BDinvMt = np.dot(BDinv, Mt) + Ra = np.eye(nA) - lmbda * BDinvMt + Ag = inverse_multiply(Ra, Ac, throw=False, warn=False) + except np.linalg.LinAlgError: + if warn: + print('Pseudo-schur failed, falling back to A') + Ag = A + n = np.shape(A)[0] + b = np.ones(shape=(n,1)) + return Ag, b + + +def _maximal_gamma(A,B,C,D): + """ + Tries to find a large value of gamma where both augmented matrixes where is_positive_def(Ag) and is_positive_def(Dg) + """ + + Ag, _ = pseudo_schur_complement(A=A, B=B, C=C, D=D, gamma=1.0, lmbda=1.0) + Dg, _ = pseudo_schur_complement(A=D, B=C, C=B, D=A, gamma=1.0, lmbda=1.0) + pos_def = is_positive_def(Ag) and is_positive_def(Dg) + if pos_def: + return 1.0 + else: + def _gamma_objective(gamma, A, B, C, D): + Ag, _ = pseudo_schur_complement(A=A, B=B, C=C, D=D, gamma=gamma, lmbda=gamma) + Dg, _ = pseudo_schur_complement(A=D, B=C, C=B, D=A, gamma=gamma, lmbda=gamma) + pos_def = is_positive_def(Ag) and is_positive_def(Dg) + return -0.01 if pos_def else 1.0 + + try: + sol = root_scalar(f=_gamma_objective, args=(A,B,C,D), method='bisect', x0=0.25, + x1=0.5, xtol=0.05, bracket=(0,0.95), maxiter=5) + return min(max(sol.root - 0.1, 0), 1.0) + except ValueError: + return 0.0 + + + +def symmetric_step_up_matrix(n1, n2): + """ + :return M such that M np.ones(n2) = np.ones(n1) + """ + + def _Mj(n1, n2, j): + assert abs(n1 - n2) <= 1 + nd = n2 - n1 + if nd == 0: + return np.eye(n1) + else: + j_row = np.ones(shape=(1, n2)) / n2 + E = np.eye(n2) + Mj = np.concatenate([E[:j], j_row, E[j:]], axis=0) + assert np.linalg.norm(np.dot(Mj, np.ones(n2)) - np.ones(n1)) < 1e-8 + return Mj + + if n1 (float,float): + """ + Parity methods require some way of splitting assets into two groups + This simple method is the default + """ + n_dim = np.shape(cov)[0] + if n_dim<=n_split: + return (n_dim,0) + else: + n1 = int(n_dim / 2) + n2 = n_dim - n1 + return n1, n2 diff --git a/precise/skaters/portfoliostatic/unitalloc.py b/precise/skaters/portfoliostatic/unitalloc.py new file mode 100644 index 00000000..6b47318a --- /dev/null +++ b/precise/skaters/portfoliostatic/unitalloc.py @@ -0,0 +1,8 @@ +from precise.skaters.portfoliostatic.unitallocfactory import unitary_min_var_allocation_factory + + +def unit_alloc(covs=None, pres=None): + return unitary_min_var_allocation_factory(covs=covs,pres=pres) + + +UNIT_ALLOC = [unit_alloc] \ No newline at end of file diff --git a/precise/skaters/portfoliostatic/unitallocfactory.py b/precise/skaters/portfoliostatic/unitallocfactory.py new file mode 100644 index 00000000..57441941 --- /dev/null +++ b/precise/skaters/portfoliostatic/unitallocfactory.py @@ -0,0 +1,31 @@ +from precise.skaters.portfolioutil.portfunctions import portfolio_variance +from precise.skaters.portfoliostatic.unitportfactory import unit_portfolio_factory +from typing import List +from itertools import zip_longest +from precise.skaters.locationutil.vectorfunctions import normalize + + + +def unitary_portfolio_variance(cov=None, pre=None, **kwargs): + """ + Variance of the unit min-var portfolio + (Used in some hierarchical methods to allocate capital) + """ + w = unit_portfolio_factory(pre=pre, cov=cov, **kwargs) + return portfolio_variance(cov=cov,w=w) + + +def unitary_min_var_allocation_factory(covs:List, pres:List=None)->[float]: + """ Allocate capital between portfolios using either cov or pre matrices + :param covs: List of covariancecomparisonutil matrices + :param pres: List of precision matrices + :return: Capital allocation vector + """ + if pres is None: + pres = [] + return normalize([ 1/unitary_portfolio_variance(cov=cov, pre=pre) for cov, pre in zip_longest(covs, pres, fillvalue=None) ]) + + + + + diff --git a/precise/skaters/portfoliostatic/unitport.py b/precise/skaters/portfoliostatic/unitport.py new file mode 100644 index 00000000..1ab84b20 --- /dev/null +++ b/precise/skaters/portfoliostatic/unitport.py @@ -0,0 +1,57 @@ +from precise.skaters.portfoliostatic.unitportfactory import unit_portfolio_factory + + +def unit_port(cov=None, pre=None): + return unit_portfolio_factory(cov=cov, pre=pre) + + +def unit_port_p100(cov=None, pre=None): + return unit_portfolio_factory(cov=cov, pre=pre, phi=1.0) + + +def unit_port_p090(cov=None, pre=None): + return unit_portfolio_factory(cov=cov, pre=pre, phi=0.9) + + +def unit_port_p080(cov=None, pre=None): + return unit_portfolio_factory(cov=cov, pre=pre, phi=0.8) + + +def unit_port_p070(cov=None, pre=None): + return unit_portfolio_factory(cov=cov, pre=pre, phi=0.7) + + +def unit_port_p060(cov=None, pre=None): + return unit_portfolio_factory(cov=cov, pre=pre, phi=0.6) + + +def unit_port_p050(cov=None, pre=None): + return unit_portfolio_factory(cov=cov, pre=pre, phi=0.5) + + +def unit_port_p040(cov=None, pre=None): + return unit_portfolio_factory(cov=cov, pre=pre, phi=0.4) + + +def unit_port_p030(cov=None, pre=None): + return unit_portfolio_factory(cov=cov, pre=pre, phi=0.3) + + +def unit_port_p020(cov=None, pre=None): + return unit_portfolio_factory(cov=cov, pre=pre, phi=0.2) + + +def unit_port_p010(cov=None, pre=None): + return unit_portfolio_factory(cov=cov, pre=pre, phi=0.1) + + +def unit_port_p000(cov=None, pre=None): + return unit_portfolio_factory(cov=cov, pre=pre, phi=0.0) + + +UNIT_LS_PORT = [unit_port, unit_port_p000, unit_port_p010, unit_port_p020, unit_port_p030, + unit_port_p040, unit_port_p050, unit_port_p060, unit_port_p070, + unit_port_p080, unit_port_p090, unit_port_p100] + +UNIT_LONG_PORT = [] +UNIT_PORT = UNIT_LONG_PORT + UNIT_LS_PORT \ No newline at end of file diff --git a/precise/skaters/portfoliostatic/unitportfactory.py b/precise/skaters/portfoliostatic/unitportfactory.py new file mode 100644 index 00000000..eb8ea7a6 --- /dev/null +++ b/precise/skaters/portfoliostatic/unitportfactory.py @@ -0,0 +1,63 @@ +import numpy as np +from precise.skaters.covarianceutil.covfunctions import try_invert +from precise.skaters.portfolioutil.portfunctions import portfolio_variance +from typing import List +from itertools import zip_longest +from precise.skaters.locationutil.vectorfunctions import normalize +from precise.skaters.covarianceutil.covfunctions import multiply_off_diag + +# Long-short min-var portfolios where the only constraint is sum(w)=1 + + +def unit_portfolio_factory(pre=None, cov=None, phi=1.0): + """ Signed min var portfolio summing to unity """ + if (pre is not None): + if (phi>1.0-1e-4): + return unitary_from_pre(pre=pre, phi=phi) + else: + cov = try_invert(pre) + return unitary_from_cov(cov=cov, phi=phi) + else: + return unitary_from_cov(cov=cov, phi=phi) + + +def unitary_from_pre(pre, phi=1.0): + """ Signed min var portfolio summing to unity """ + # No optimization required + n_dim = np.shape(pre)[1] + wones = np.ones(shape=(n_dim, 1)) + w = normalize(np.squeeze(np.matmul(pre, wones))) + sum_w = np.sum(w) + if abs(sum_w-1)<1e-4: + return np.array(w) + else: + print('Warning. Unitary portfolio failed.') + return np.ones_like(w)/n_dim + + +def unitary_from_cov(cov,phi=1.0): + cov = multiply_off_diag(cov, phi=phi) + pre = try_invert(cov) + return unitary_from_pre(pre=pre) + + +def unitary_portfolio_variance(cov=None, pre=None): + """ + Variance of the unit min-var portfolio + (Used in some hierarchical methods to allocate capital) + """ + w = unit_portfolio_factory(pre=pre, cov=cov) + return portfolio_variance(cov=cov,w=w) + + +def prc_unit_alloc(covs:List, pres:List=None)->[float]: + """ Allocate capital between portfolios using either cov or pre matrices + :param covs: List of covariancecomparisonutil matrices + :param pres: List of precision matrices + :return: Capital allocation vector + """ + if pres is None: + pres = [] + return normalize([ 1/unitary_portfolio_variance(cov=cov, pre=pre) for cov, pre in zip_longest(covs, pres, fillvalue=None) ]) + + diff --git a/precise/skaters/portfoliostatic/volalloc.py b/precise/skaters/portfoliostatic/volalloc.py new file mode 100644 index 00000000..573ab35c --- /dev/null +++ b/precise/skaters/portfoliostatic/volalloc.py @@ -0,0 +1,12 @@ +from precise.inclusion.pyportfoliooptinclusion import using_pyportfolioopt + +if using_pyportfolioopt: + from precise.skaters.portfoliostatic.volallocfactory import vol_allocation_factory + + def vol_alloc(covs=None, pres=None): + return vol_allocation_factory(covs=covs, pres=pres) + + + VOL_ALLOC = [ vol_alloc ] +else: + VOL_ALLOC = [] \ No newline at end of file diff --git a/precise/skaters/portfoliostatic/volallocfactory.py b/precise/skaters/portfoliostatic/volallocfactory.py new file mode 100644 index 00000000..7e602395 --- /dev/null +++ b/precise/skaters/portfoliostatic/volallocfactory.py @@ -0,0 +1,34 @@ +from precise.skaters.portfolioutil.portfunctions import portfolio_variance +from typing import List +from itertools import zip_longest +from precise.skaters.locationutil.vectorfunctions import normalize +from precise.skaters.portfoliostatic.diagalloc import diagonal_allocation_factory +from precise.inclusion.pyportfoliooptinclusion import using_pyportfolioopt + +if using_pyportfolioopt: + from precise.skaters.portfoliostatic.ppoportfactory import ppo_vol_port + + def vol_portfolio_variance(cov=None, pre=None): + """ + Variance of the minimum volatility portfolio + (Used in some hierarchical methods to allocate capital) + """ + w = ppo_vol_port(pre=pre, cov=cov) + return portfolio_variance(cov=cov,w=w) + + + def vol_allocation_factory(covs:List, pres:List=None)->[float]: + """ Allocate capital between portfolios using either cov or pre matrices + :param covs: List of covariancecomparisonutil matrices + :param pres: List of precision matrices + :return: Capital allocation vector + """ + if pres is None: + pres = [] + try: + return normalize([ 1/vol_portfolio_variance(cov=cov, pre=pre) for cov, pre in zip_longest(covs, pres, fillvalue=None) ]) + except Exception as e: + print('vol allocation failed') + return diagonal_allocation_factory(covs=covs, pres=pres) + + diff --git a/precise/skaters/portfoliostatic/weakalloc.py b/precise/skaters/portfoliostatic/weakalloc.py new file mode 100644 index 00000000..1f673803 --- /dev/null +++ b/precise/skaters/portfoliostatic/weakalloc.py @@ -0,0 +1,16 @@ +from typing import List +from precise.skaters.portfoliostatic.weakallocfactory import weak_allocation_factory + +# List of allocators that use cov weakening + + +def weak_long_alloc(covs:List, pres:List=None)->[float]: + """ Allocate capital between portfolios using either cov or pre matrices + :param covs: List of covariancecomparisonutil matrices + :param pres: List of precision matrices + :return: Capital allocation vector + """ + return weak_allocation_factory(covs=covs, pres=pres) + + +WEAK_ALLOC = [weak_long_alloc] \ No newline at end of file diff --git a/precise/skaters/portfoliostatic/weakallocfactory.py b/precise/skaters/portfoliostatic/weakallocfactory.py new file mode 100644 index 00000000..1feb2493 --- /dev/null +++ b/precise/skaters/portfoliostatic/weakallocfactory.py @@ -0,0 +1,30 @@ +from precise.skaters.locationutil.vectorfunctions import normalize +from precise.skaters.portfoliostatic.weakportfactory import weak_portfolio_factory +from precise.skaters.portfolioutil.portfunctions import portfolio_variance +from itertools import zip_longest +from typing import List +from precise.skaters.portfoliostatic.equalport import equal_long_port + +def weak_portfolio_variance(cov=None, pre=None, **kwargs): + """ + Variance of the unit min-var portfolio + (Used in some hierarchical methods to allocate capital) + """ + w = weak_portfolio_factory(pre=pre, cov=cov, **kwargs) + return portfolio_variance(cov=cov,w=w) + + +def weak_allocation_factory(covs:List, pres:List=None, **kwargs)->[float]: + """ Allocate capital between portfolios using either cov or pre matrices + :param covs: List of covariancecomparisonutil matrices + :param pres: List of precision matrices + :return: Capital allocation vector + """ + if pres is None: + pres = [] + try: + w = normalize([ 1/weak_portfolio_variance(cov=cov, pre=pre, **kwargs) for cov, pre in zip_longest(covs, pres, fillvalue=None) ]) + except RuntimeWarning: + w = normalize([ 1.0 for _ in zip_longest(covs,pres)] ) + return w + diff --git a/precise/skaters/portfoliostatic/weakport.py b/precise/skaters/portfoliostatic/weakport.py new file mode 100644 index 00000000..705e085e --- /dev/null +++ b/precise/skaters/portfoliostatic/weakport.py @@ -0,0 +1,48 @@ +from precise.skaters.portfoliostatic.weakportfactory import weak_portfolio_factory +from precise.skaters.portfoliostatic.weakportfactory import BIG_H + +# Fast long-only approximately min-var portfolios where the only constraints are sum(w)=1, w>0 + +def weak_long_port(cov=None, pre=None): + """ + Approximately min-var portfolio using optimized weakening parameter b + """ + return weak_portfolio_factory(cov=cov, pre=pre, a=1.0, h=BIG_H, b=None, with_neg_mass=False) + + +def weak_h125_long_port(cov=None, pre=None): + """ + Approximately min-var portfolio using optimized weakening parameter b + """ + return weak_portfolio_factory(cov=cov, pre=pre, a=1.0, h=1.25, b=None, with_neg_mass=False) + + + +def weak_h150_long_port(cov=None, pre=None): + """ + Approximately min-var portfolio using optimized weakening parameter b + """ + return weak_portfolio_factory(cov=cov, pre=pre, a=1.0, h=1.5, b=None, with_neg_mass=False) + + + +def weak_h200_long_port(cov=None, pre=None): + """ + Approximately min-var portfolio using optimized weakening parameter b + """ + return weak_portfolio_factory(cov=cov, pre=pre, a=1.0, h=2.0, b=None, with_neg_mass=False) + + + +def weak_h400_long_port(cov=None, pre=None): + """ + Approximately min-var portfolio using optimized weakening parameter b + """ + return weak_portfolio_factory(cov=cov, pre=pre, a=1.0, h=4, b=None, with_neg_mass=False) + + + +WEAK_LONG_PORT = [weak_long_port, weak_h125_long_port, weak_h150_long_port, weak_h200_long_port, weak_h400_long_port ] +WEAK_LS_PORT = [] +WEAK_PORT = WEAK_LONG_PORT + WEAK_LS_PORT + diff --git a/precise/skaters/portfoliostatic/weakportfactory.py b/precise/skaters/portfoliostatic/weakportfactory.py new file mode 100644 index 00000000..cd8fde03 --- /dev/null +++ b/precise/skaters/portfoliostatic/weakportfactory.py @@ -0,0 +1,197 @@ +from precise.skaters.covarianceutil.covfunctions import try_invert, weaken_cov +from precise.skaters.portfoliostatic.unitportfactory import unitary_from_cov +from precise.skaters.portfolioutil.portfunctions import exclude_negative_weights, portfolio_variance +import scipy +from numpy.linalg import LinAlgError +import numpy as np +import math +from precise.skaters.covarianceutil.covrandom import jiggle_cov + +# Fast long-only approximately min-var portfolios where the constraints are: +# sum(w)=1, +# w>0, +# rel_entropish(w)n/2 else 1.1 for i in range(len(w))] + return rel_entropish(w_) + + +def entropish(w): + """ Etropish is a silly name for sum of log weights """ + if any([wi < 1e-8 for wi in w]): + return -1.0e10 + else: + return float(np.sum(np.log(w))) + + +def max_entropish(w): + return entropish(np.ones_like(w)/len(w)) + + +def rel_entropish(w): + """ Always non-positive """ + return entropish(w) - max_entropish(w) + + +def scaled_entropish(w): + return rel_entropish(w)/rel_entropish_like(w) + + +def ensure_rel_entropish_old(w, h:float): + """ Crudely force portfolio to almost have rel_entropish > -1/h + + - Moves the equal weighted portfolio towards w with shorts removed + + :param w: + :param h: h > 1 + :return: + """ + if h<1: + print(h) + raise ValueError('Expecting h<1 got h='+str(h)) + + if scaled_entropish(w)>=-100/h: + return w + else: + v = np.ones_like(w) / len(w) + w_pos = exclude_negative_weights(w) + while scaled_entropish(v)>-100/h: + v_prior = np.copy(v) + v = 0.99*v + 0.01*np.array(w_pos) + return v_prior + + +def ensure_rel_entropish(w, h: float): + """ Force portfolio to almost have rel_entropish > -1/h + - Moves the equal weighted portfolio towards w with shorts removed + :param w: + :param h: h > 1 + :return: + """ + if h < 1: + print(h) + raise ValueError('Expecting h>1 got h=' + str(h)) + + if scaled_entropish(w) >= -100 / h: + return w + else: + v = np.ones_like(w) / len(w) + w_pos = exclude_negative_weights(w) + low, high = 0, 1 + + while high - low > 1e-2: + mid = (low + high) / 2 + v_mid = mid * v + (1 - mid) * np.array(w_pos) + + if scaled_entropish(v_mid) < -100 / h: + low = mid + else: + high = mid + + return low * v + (1 - low) * np.array(w_pos) + + + + + + + +def weak_portfolio_factory(cov=None, pre=None, a=1.0, b=None, h=BIG_H, with_neg_mass=False, noise=0.0): + """ Long only portfolio somewhat similar to unitary min-var portfolio + Uses a "weakenned" cov matrix + + sum(w)=1 + w>=0 + + :param cov: Covariance matrix + :param pre: Precision matrix (either cov or pre must be supplied) + :param a: Weakenning parameter + :param b: Weakenning parameter + :param h: Entropish paramters + :param with_neg_mass: + :return: + """ + if cov is None: + cov = try_invert(pre) + + if noise>1e-12: + jiggled_cov = jiggle_cov(cov=cov, noise=noise) + else: + jiggled_cov = np.copy(cov) + + w0 = unitary_from_cov(cov=jiggled_cov) + if b is not None: + return _weak_known_params(cov=jiggled_cov, a=a, b=b, w0=w0, with_neg_mass=with_neg_mass) + else: + return _weak_optimal_b(cov=jiggled_cov, w0=w0, a=a, h=h, with_neg_mass=with_neg_mass) + + +def _weak_known_params(cov, a, b, w0, with_neg_mass=False): + w1 = _weak_from_cov(cov=cov, a=a, b=b, w=w0, with_weak=False) + return exclude_negative_weights(w1, with_neg_mass=with_neg_mass) + + +def optimal_b(cov, w0, a=1.0, h=BIG_H): + + def b_objective(u, w, a, v0, h): + try: + w1 = _weak_from_cov(cov, a=a, b=u, w=w, with_weak=False) + w2 = exclude_negative_weights(ensure_rel_entropish(w1, h)) + v = portfolio_variance(cov=cov, w=w2) / v0 + return v + except LinAlgError: + bad_v = portfolio_variance(cov=cov, w=100 * w) + return bad_v + + v0 = portfolio_variance(cov=cov, w=w0) + vd = portfolio_variance(cov=np.diag(np.diag(cov)), w=np.ones_like(np.atleast_1d(w0))/len(w0)) + initial_ratio = v0/vd + if initial_ratio<1e-6: + return 0.1 + else: + res = scipy.optimize.minimize_scalar(fun=b_objective, bracket=(0.1,0.9), bounds=(0, 1), args=(w0, a, v0, h), method='Bounded') + best_b = res.x + if best_b<0: + # Shouldn't happen but it does + best_b = 0 + if best_b>1: + # Ditto + best_b = 1 + return best_b + + +def _weak_optimal_b(cov, w0, a, h=BIG_H, with_neg_mass=False, verbose=False): + best_b = optimal_b(cov=cov, w0=w0, a=a, h=h) + if verbose: + print({'best_b':best_b}) + best_w = _weak_from_cov(cov=cov, a=1.0, b=best_b, w=w0, with_weak=False) + return exclude_negative_weights(w=ensure_rel_entropish(best_w, h), with_neg_mass=with_neg_mass) + + +def _weak_from_cov(cov, w, a=1.0, b=0.75, with_weak=False): + """ + Given long-short weights w, find different portfolio using weaker cov + This is likely to have a lot less negative mass + + :param a Diagnonal multipier for neg weights + :param b Additional multiplier for off-diag + """ + d = [a if wi < 0.0 else 1.0 for wi in w] + weak_cov = weaken_cov(cov=cov, diag_multipliers=d, off_diag_additional_factor=b) + w1 = unitary_from_cov(weak_cov) + return (w1, weak_cov) if with_weak else w1 + + + +if __name__=='__main__': + w = np.ones(5)/5.0 + print({'scaled_entropish':scaled_entropish(w)}) + w2 = np.concatenate([np.ones(5),2*np.ones(5)]) + w2 = w2/sum(w2) + print({'scaled_entropish': scaled_entropish(w2)}) + + diff --git a/precise/skaters/portfolioutil/__init__.py b/precise/skaters/portfolioutil/__init__.py new file mode 100644 index 00000000..e69de29b diff --git a/precise/skaters/portfolioutil/portfunctions.py b/precise/skaters/portfolioutil/portfunctions.py new file mode 100644 index 00000000..a0dd286e --- /dev/null +++ b/precise/skaters/portfolioutil/portfunctions.py @@ -0,0 +1,147 @@ +import numpy as np +import pandas as pd +from precise.skaters.covarianceutil.covfunctions import try_invert +from precise.skaters.covarianceutil.pdutil import dict_or_series_to_scalar, square_and_vector_to_scalar, vector_to_vector +from precise.skaters.locationutil.vectorfunctions import normalize + +# Some common operations and functionals of portfolios +# Here the portfolio w can be a list, ndarray, dict or Series + + +def positive_mass(w): + if isinstance(w,(dict,pd.Series)): + return dict_or_series_to_scalar(d=w, func=positive_mass ) + else: + return sum([wi for wi in w if wi>0]) + + +def negative_mass(w): + if isinstance(w, (dict, pd.Series)): + return dict_or_series_to_scalar(d=w, func=negative_mass) + else: + return sum([-wi for wi in w if wi<0]) + + +def relative_negative_mass(w): + if isinstance(w, (dict, pd.Series)): + return dict_or_series_to_scalar(d=w, func=relative_negative_mass) + else: + pm = positive_mass(w) + nm = negative_mass(w) + return nm/(pm-nm) + + +def portfolio_variance(w, cov=None, pre=None): + if cov is None: + cov = try_invert(a=pre) + if isinstance(cov,pd.DataFrame): + return square_and_vector_to_scalar(a=cov, w=w, func=portfolio_variance) + else: + w1 = np.atleast_2d(w) + wt = np.atleast_2d(w).transpose() + return np.matmul( np.matmul(w1, np.array(cov)), wt)[0][0] + + +def combine_portfolios(ws, alpha=None)->[float]: + """ Weighted combination of portfolios + :param ws: + :param alpha: + :return: + """ + n_portfolios = len(ws) + n_assets = len(ws[0]) + if alpha is None: + alpha = [1.0/len(ws) for _ in range(n_portfolios)] + nws = [ np.array(normalize_portfolio(w)) for w in ws ] + convex_combination = np.zeros(n_assets) + + for i in range(n_portfolios): + convex_combination += alpha[i] * nws[i] + + return list(convex_combination) + + +def normalize_portfolio(w): + """ Ensure sum(w) = 1 """ + if isinstance(w,(dict,pd.Series)): + return vector_to_vector(w=w, func=normalize) + else: + return normalize(w) + + +def exclude_negative_weights(w, with_neg_mass=False): + """ + Take out negative weights, preserving presumed total mass + :param w 1d array, list, Series or dict + """ + if isinstance(w,(dict,pd.Series)): + assert with_neg_mass==False + return vector_to_vector(w=w, func=exclude_negative_weights, with_neg_mass=False) + else: + pos_mass = sum([wi for wi in w if wi>0]) + neg_mass = sum([-wi for wi in w if wi<0]) + if neg_mass>1e-10: + presumed_mass = pos_mass-neg_mass + ratio = presumed_mass/pos_mass + w_pos = np.array([ wi*ratio if wi>0 else 0.0 for wi in w]) + else: + w_pos = np.array( [ wi/pos_mass for wi in w] ) + return (w_pos, neg_mass) if with_neg_mass else w_pos + + +def var_scaled_returns(cov, mu:float, r:float, noise=0): + """ Set returns as function of variance. + Plenty of quibbles here. + :param cov: + :param mu: + :param r: + :param noise: + :return: + """ + import warnings + warnings.filterwarnings('error') + vars = np.diag(cov) + typical_var = np.mean(vars) + + try: + result = r+(mu-r)*np.array([ v/typical_var*(1+np.random.rand()*noise) for v in vars]) + except RuntimeWarning as e: + print(e) + pass + + return result + + +# Some portfolio features + + +def herfandahl(w): + # There's a name for everything! + # Related to https://en.wikipedia.org/wiki/Herfindahl%E2%80%93Hirschman_index + return np.linalg.norm(w) + + +def relative_herfandahl(w): + n = len(w) + if n==1: + return 1 + else: + H = np.linalg.norm(w) + return (H-1/n)/(1-1/n) + + +def std_herfandal(w): + from scipy.stats import invgauss + r = relative_herfandahl(w) + if r > (1-1e-8): + return 10. + if r < 1e-8: + return -10.0 + return invgauss(r) + + + +if __name__=='__main__': + sgma = np.array([[1,4],[4,20]]) + w = [0.3,0.4] + print( portfolio_variance(cov=sgma,w=w) ) \ No newline at end of file diff --git a/precise/skaters/portfolioutil/portgeometry.py b/precise/skaters/portfolioutil/portgeometry.py new file mode 100644 index 00000000..8b80ed11 --- /dev/null +++ b/precise/skaters/portfolioutil/portgeometry.py @@ -0,0 +1,120 @@ +import numpy as np +#from scipy.spatial._qhull import QhullError +from itertools import combinations +from scipy.linalg import lstsq +from precise.skaters.portfolioutil.portfunctions import exclude_negative_weights + + +def shortlist_by_l1_norm(origin, xs, tol=0.2, n_max=None): + """ Pick some points that aren't too close to each other, in order of increasing distance from origin + :param n_max: + :return: + """ + try: + dxs = sorted( [ ( sum(np.abs(np.array(origin) - np.array(xsi))),xsi) for xsi in xs], key=lambda t: t[0]) + except ValueError: + raise NotImplementedError('huh?') + w_shortlist = [ dxs[0][1] ] + for _,wj in dxs[1:]: + separation = min([sum(np.abs(np.array(wj) - np.array(wk))) for wk in w_shortlist]) + if separation>tol: + w_shortlist.append(wj) + if (n_max is not None) and len(w_shortlist)>=n_max: + break + return w_shortlist + + +def np_linalg_norms(xs, ord=1, origin=None): + if origin is None: + origin = np.zeros_like(xs[0]) + return [np.linalg.norm(np.array(origin) - np.array(wsi), ord=ord) for wsi in xs] + + +def closest_point_l1(xs, ord=1, origin=None) -> int: + """ Choose from a list of points ws in space the one closest to w """ + l1s = np_linalg_norms(origin=origin, xs=xs, ord=ord) + j = np.argmin(l1s) + return xs[j] + + +def closest_weak_l1(xs, origin, n_max=50, verbose=False): + """ Find a postiive combination of ws that is closer to w in L1-norm + This is a little heuristic. It doesn't solve the optimization problem. + :param origin: anchor portfolio + :param xs: target portfolio list + :param verbose: + :return: + """ + ws_short = shortlist_by_l1_norm(origin=origin, xs=xs, n_max=n_max) + xs = [np.array(wj) - np.array(origin) for wj in ws_short] + x = verbosely_choose_close_point_on_boundary_of_convex_hull(xs=xs, verbose=verbose) + return np.array(origin) + np.array(x) + + +def verbosely_choose_close_point_on_boundary_of_convex_hull(xs, verbose=False)->[float]: + """ Work in progress + There are some insights in https://arxiv.org/pdf/math/0606426 + This is a heuristic algorithm ! + :return: + """ + l1s = np_linalg_norms(xs=xs, ord=1) + d_upper = min(l1s) + if d_upper<1e-4: + return closest_point_l1(xs=xs) + + best_x = closest_point_l1(xs=xs) + best_ratio = np.linalg.norm(best_x, ord=1) / d_upper + best_discount = -1 + + W_points = np.vstack(xs) + n_points, n_dim = np.shape(W_points) + HEAVY = 100 + HEAVIER = 1000 + W = np.hstack([W_points, HEAVY*np.ones(shape=(n_points,1)) ]) + + for lmbd in [10.0, 4.0, 2.0, 1.5, 1.0, 0.5]: + for sng in [-1,1]: + for k in range(n_dim): + Wk = np.copy(W) + for j in range(n_points): + Wk[j,k] = HEAVIER*W[j,k] + yk = np.zeros(n_dim+1) + yk[n_dim] = HEAVY + yk[k] = d_upper*sng*lmbd + b = yk + a = np.transpose(Wk) + res = lstsq(a=a,b=b) + u_raw = res[0] + u = exclude_negative_weights(u_raw) + x_guess = np.dot( np.transpose(W_points),u ) + d_ = np.linalg.norm(x_guess, ord=1) + d_ratio = d_/d_upper + if d_ratio < best_ratio: + best_ratio = d_ratio + best_discount = lmbd + best_x = x_guess + if verbose: + print({'d_ratio': best_ratio, 'discount': best_discount}) + return best_x + + + + +if __name__=='__main__': + import random + n_dim = 500 + n_port = random.choice([1,2,25]) + x1 = np.random.randn(n_dim) + xs = [ xi+x1 for xi in np.random.randn(n_port,n_dim) ] + x = verbosely_choose_close_point_on_boundary_of_convex_hull(xs, verbose=True) + + + + + + + + + + + diff --git a/precise/skaters/portfolioutil/seriation.py b/precise/skaters/portfolioutil/seriation.py new file mode 100644 index 00000000..9fd4cb22 --- /dev/null +++ b/precise/skaters/portfolioutil/seriation.py @@ -0,0 +1,50 @@ +from precise.skaters.covarianceutil.covfunctions import try_invert, cov_distance +import numpy as np +from precise.skaters.portfoliostatic.equalport import equal_long_port + + +def conjugate_with_seriation(seriator, port, seriator_kwargs=None, port_kwargs:dict=None, cov=None, pre=None)->np.ndarray: + """ + A helper for conjugating seriation with any portfolio method + + :param seriator: Takes a distance matrix and returns an ordering + :param port: Portfolio generator + :param port_kwargs: Arguments to portfolio generator, other than 'cov' and/or 'pre' + :param cov: Original portfolio in arbitrary order + :param pre: Original precision matrix in arbitrary order + :return: w Portfolio weights in original ordering + """ + if seriator_kwargs is None: + seriator_kwargs = {} + + if cov is None: + cov = try_invert(pre) + + if port_kwargs is None: + port_kwargs = {} + + if any(np.diag(cov)<1e-6): + return equal_long_port(cov=cov) + elif seriator is None: + w = port(cov=cov, **port_kwargs) + return np.array(w) + else: + # Establish ordering using seriator and corr distances + cov_dist = cov_distance(cov) + ndx = seriator(cov_dist, **seriator_kwargs) + inv_ndx = np.argsort(ndx) + cov_cols = cov[:,ndx] + cov_back = cov_cols[:,inv_ndx] + assert np.allclose(cov,cov_back) + ordered_cov = cov_cols[ndx,:] + + # Allocate capital to ordered assets + ordered_w = port(cov=ordered_cov, **port_kwargs) + + # Return to original ordering + try: + w = ordered_w[inv_ndx] + except TypeError: + print('Warning: '+port.__name__+' returns list not array - should really fix this ') + w = np.array(ordered_w)[inv_ndx] + return np.array(w) \ No newline at end of file diff --git a/precise/skaters/portfolioutil/unitlemmas.py b/precise/skaters/portfolioutil/unitlemmas.py new file mode 100644 index 00000000..fcf489f8 --- /dev/null +++ b/precise/skaters/portfolioutil/unitlemmas.py @@ -0,0 +1,27 @@ +import numpy as np +from precise.skaters.locationutil.vectorfunctions import scatter +from precise.skaters.portfoliostatic.unitportfactory import unit_portfolio_factory +from precise.skaters.portfolioutil.portfunctions import portfolio_variance + + +# Portfolio "lemmas" - not sure what else to call this just now ;) + +def bAb(A,b): + return np.dot( np.dot( np.transpose(b), A), b ) + + +def quirky_solve(A, b): + """ + Nuts alternative to np.linalg.solve(A,b) + """ + v = np.ones(len(b)) + A_tilde = A / scatter(b) + A_inv = np.linalg.inv(A) + A_tilde_inv = np.linalg.inv( A_tilde ) + numer = bAb(A_inv, b) + denom = bAb(A_tilde_inv, v) + x = numer/denom*np.dot(A_tilde_inv, v) / b + return x + + + diff --git a/precise/skaters/portfolioutil/unittransforms.py b/precise/skaters/portfolioutil/unittransforms.py new file mode 100644 index 00000000..c2920f98 --- /dev/null +++ b/precise/skaters/portfolioutil/unittransforms.py @@ -0,0 +1,124 @@ +import numpy as np +from precise.skaters.portfoliostatic.unitportfactory import unitary_from_cov +from precise.skaters.covarianceutil.covfunctions import multiply_by_inverse + +# Provides the transforms necessary to reduce +# +# min w^t C R w subject to w^t c = 1 +# +# to the special case R=I, c=1 + +# (So yeah, nothing really to do with unitary operators, just transforms of the unitary portfolio problem) + + +def scaled_unitary_problem(C, c): + """ Find equivalent problem to: + + min w^t C w subject to w^t c = 1 + + Namely: + w = u/c + where u solves: + min u^t C' u subject to u^t v = 1 + where + v = [1,..,1] + + :param C Covariance + :param c Linear coef as above + :returns C' Covariance playing role above + + """ + assert len(c) == np.shape(C)[0] + assert all([ci > 0 for ci in c]) + cij = np.dot(np.atleast_2d(c), np.transpose(np.atleast_2d(c))) + assert np.shape(cij) == np.shape(C) + C_prime = C / cij + return C_prime + + +def scaled_unitary_problem_solution(C, c): + """ + Solve argmin w^t C w subject to w^t c = 1 + """ + Q, _ = scaled_unitary_problem(C=C, c=c) + u = unitary_from_cov(cov=Q) + w = u/ c + assert np.dot(w, c) == 1 + return w + + +def left_multiplied_unitary_problem(C, R, c=None): + """ Find equivalent problem to + + min w^t R C w subject to w^t c ==1 (1) + + Instead find H^t H = R and set u = H w, w = H^{-1} u + + min u^t H C H^{-1} u subject to u^t H^{-1}^t c = 1 (2) + + So set + c' = H^{-1}^t c + C' = H C H^{-1} + + Given C', H, c' we can thus find + w by solving the transformed problem (2), re-written: + + min u^t C' u subject to u^t c' = 1 + + and then substituting back: + + w = H^{-1} u (3) + + which is to say w = solve(H,u) + + :param C Covariance + :param R Additional tranform matrix + + + """ + n = np.shape(C)[0] + if c is None: + c = np.ones(n) + + L = np.linalg.cholesky(R) + H = np.transpose(L) + assert np.linalg.norm( np.dot(np.transpose(L),L)-R ) < 1e-6 + c_prime = np.linalg.solve(L,c) + C_Hinv = multiply_by_inverse(C,H) + C_prime = np.dot( H, C_Hinv ) + + return C_prime, H, c_prime + + +def left_multiplied_unitary_solution(C, R, c, verify=False): + """ Find portfolio in a rather indirect way ... useful for checking + + min w^t R C w subject to w^t c == 1 + """ + C_prime, H, c_prime = left_multiplied_unitary_problem(C=C, R=R) + u = scaled_unitary_problem_solution(C=C_prime, c=c_prime) + w = np.linalg.solve(H,u) + + if verify: + RC = np.dot(R,C) + w_check = scaled_unitary_problem_solution(C=RC,c=c) + assert np.allclose( w, w_check ) + + return w + + +def left_multiplied_unitary_reduction(C, R, c=None): + """ Returns C'' and H and c'' such that if + min u^t C'' u subject to u^t 1 = 1 + and + w = H^{-1} u/c' = solve(H,u)/c'' + then w also solves + min w^t R C w subject to w^t c = 1 + + (This unravels the transforms above) + + :return C', H, c' + """ + C_intermediate, H, c_prime = left_multiplied_unitary_problem(C=C, R=R, c=c) + C_prime = scaled_unitary_problem(C=C_intermediate, c=c_prime) + return C_prime, H, c_prime \ No newline at end of file diff --git a/precise/skaters/portfolioutil/zetaport.py b/precise/skaters/portfolioutil/zetaport.py new file mode 100644 index 00000000..e864c704 --- /dev/null +++ b/precise/skaters/portfolioutil/zetaport.py @@ -0,0 +1,25 @@ +from precise.skaters.covarianceutil.covfunctions import cov_to_corrcoef +import numpy as np +from precise.skaters.locationutil.vectorfunctions import normalize + + +def zeta_port(port, cov, zeta=None, **port_kwargs): + """ + Creates a compromise between cov and corr induced portfolios + Just an idea. Not particularly well studied :) + :param port: + :param cov: + :param zeta: + :param port_kwargs: + :return: + """ + if zeta is None or abs(zeta)<1e-10: + return port(cov=cov, **port_kwargs) + else: + w_cov = port(cov=cov, **port_kwargs) + x_diag = np.diag(cov) + x_corr = cov_to_corrcoef(cov) + w_corr_raw = port(cov=x_corr, **port_kwargs) + w_corr = normalize(w_corr_raw / x_diag) + w = (1 - zeta)*np.array(w_cov) + zeta*np.array(w_corr) + return list(w) \ No newline at end of file diff --git a/precise/skaters/precisionutil/__init__.py b/precise/skaters/precisionutil/__init__.py new file mode 100644 index 00000000..e69de29b diff --git a/precise/skaters/scalarutil/__init__.py b/precise/skaters/scalarutil/__init__.py new file mode 100644 index 00000000..e69de29b diff --git a/precise/skaters/scalarutil/runningmedian.py b/precise/skaters/scalarutil/runningmedian.py new file mode 100644 index 00000000..30747db7 --- /dev/null +++ b/precise/skaters/scalarutil/runningmedian.py @@ -0,0 +1,45 @@ +from heapq import heappush ,heappop, heapify ,_heapify_max +from typing import Union + + +# Running scalar median +# Ack: https://medium.com/mind-boggling-algorithms/streaming-algorithms-running-median-of-an-array-using-two-heaps-cd1b61b3c034 + + +def med(s,x:Union[float,int]=None)->dict: + """ Running median + :param x: scalar float + """ + if not s or s.get('low_heap') is None: + s = dict() + s['low_heap'] = [] + s['high_heap'] = [] + s['median'] = 0 + if x < s['median']: + heappush(s['low_heap'], x) + _heapify_max(s['low_heap']) + else: + heappush(s['high_heap'], x) + + if len(s['low_heap']) > len(s['high_heap'] ) +1: + heappush(s['high_heap'], heappop(s['low_heap'])) + _heapify_max(s['low_heap']) + elif len(s['high_heap']) > len(s['low_heap']) + 1: + heappush(s['low_heap'], heappop(s['high_heap'])) + _heapify_max(s['low_heap']) + + if len(s['low_heap']) == len(s['high_heap']): + s['median'] = float(s['low_heap'][0] + s['high_heap'][0] ) /2.0 + else: + s['median'] = float(s['low_heap'][0]) if len(s['low_heap']) > len(s['high_heap']) else float(s['high_heap'][0]) + return s + + +if __name__=='__main__': + import numpy as np + import random + xs = np.random.randn(random.choice([1,5,10,1000])) + s = {} + for x in xs: + s = med(s=s,x=x) + assert s['median'] == np.median(xs) diff --git a/precise/skatertools/__init__.py b/precise/skatertools/__init__.py new file mode 100644 index 00000000..e69de29b diff --git a/precise/skatertools/data/__init__.py b/precise/skatertools/data/__init__.py new file mode 100644 index 00000000..e69de29b diff --git a/precise/skatertools/data/equityhistorical.py b/precise/skatertools/data/equityhistorical.py new file mode 100644 index 00000000..fc17c21b --- /dev/null +++ b/precise/skatertools/data/equityhistorical.py @@ -0,0 +1,53 @@ +import pandas as pd +import numpy as np +import random + + +def random_cached_equity_dense(k, n_obs, n_dim=10, as_frame=False, **ignore): + """ + Log price differences without missing values + :param k - days + + """ + pd.options.mode.chained_assignment = None + df = _sparse_cached_equity(k=k) + n_samples = len(df.index) + assert n_samples>n_obs + n_start = random.choice(range(n_samples-n_obs)) + n_end = n_start + n_obs + df_sub = df[n_start:n_end] + df_sub.dropna(how='any', inplace=True, axis=1) + df_sub.drop(df.columns[0], inplace=True, axis=1) + size = min(len(df_sub.columns),n_dim) + selected = np.random.choice(df_sub.columns, size=size, replace=False) + df_some = df_sub[selected] + return df_some if as_frame else df_some.values + + +def _sparse_cached_equity(k=1): + """ Retrieve daily or less frequent price changes + :param k: difference measured in business days + :returns pd.DataFrame with NaNs + """ + import ssl + + # creates an unverified certificate with ssl even without certificate + try: + _create_unverified_https_context = ssl._create_unverified_context + except AttributeError: + pass + else: + ssl._create_default_https_context = _create_unverified_https_context + + CSV ='https://raw.githubusercontent.com/microprediction/precisedata/main/stocks/log_price_diff_K_part_N.csv' + dfs = [ pd.read_csv(CSV.replace('K',str(k)).replace('N',str(part)) ) for part in list(range(1,4)) ] + df_merged = pd.concat(dfs,axis=1) + return df_merged + + + +if __name__=='__main__': + df = _sparse_cached_equity(k=1) + print(df[:3]) + dg = random_cached_equity_dense(k=1, n_obs=50, as_frame=True) + print(dg) \ No newline at end of file diff --git a/precise/skatertools/data/equitylive.py b/precise/skatertools/data/equitylive.py new file mode 100644 index 00000000..3c245c76 --- /dev/null +++ b/precise/skatertools/data/equitylive.py @@ -0,0 +1,176 @@ +import pandas_datareader.data as pdr +import yfinance as yf + + +import pandas as pd +import time +from functools import lru_cache +import numpy as np +import time + +@lru_cache(maxsize=500) +def get_prices(ticker,n_obs,interval, max_attempts=10): + if interval=='m': + interval = '1mo' + + print('Getting '+ticker) + time.sleep(5) + success = False + attempts = 0 + while not success: + try: + data = pdr.get_data_yahoo(ticker, interval=interval)[-n_obs - 1:]['Close'].values + success = True + except Exception as e: + print(str(e)) + print('backing off') + time.sleep(10) + attempts += 1 + if attempts>=max_attempts: + raise ValueError + return data + + + +def live_equity_returns(tickers, n_obs=60, interval='1d', k=1): + df = pd.DataFrame() + for ticker in tickers: + try: + data = get_prices(ticker=ticker, n_obs=n_obs, interval=interval) + assert len(data)==n_obs+1 + values = list(np.diff(np.log(data),k))[::k] + df[ticker] = values + except: + pass + return df + + +def live_veteran_etf_data(interval='1d',k=1): + from precise.skatertools.data.etflists import VETERAN_NON_BOND_ETFS + n_obs = 60 if interval=='m' else 250 + df = live_equity_returns(tickers=VETERAN_NON_BOND_ETFS, n_obs=n_obs, interval=interval, k=k) + return df + + +def random_m6_returns(n_dim=10, n_obs:int=60, verbose=True, interval='1d', etf=0, **ignore): + """ + Use portfolio for M6 competition + """ + constituents = pd.read_csv('https://raw.githubusercontent.com/microprediction/m6/main/data/official/M6_Universe.csv') + if etf==0: + tickers = constituents['symbol'][:50] + elif etf>0: + tickers = constituents['symbol'] + else: + tickers = constituents['symbol'][50:] + return random_equity_returns(all_tickers=tickers, n_dim=n_dim, n_obs=n_obs, verbose=verbose, interval=interval) + + +def random_rdps_returns(n_dim=10, n_obs:int=60, verbose=True, interval='1d', etf=1, **ignore): + """ + Leave one-out sectors by default + """ + from getjson import getjson + rdps_tickers = getjson('https://raw.githubusercontent.com/microprediction/microprediction/master/microprediction/live/rdpstickers.json') + tickers = list(rdps_tickers.values()) + return random_equity_returns(all_tickers=tickers, n_dim=n_dim, n_obs=n_obs, verbose=verbose, interval=interval) + + + +def all_m6_returns(n_obs:int=60, verbose=True, interval='1d', etf=0, implied=0, **ignore): + n_buffer = np.random.choice([20,40,60,80,100,120,140]) + constituents = pd.read_csv( + 'https://raw.githubusercontent.com/microprediction/m6/main/data/official/M6_Universe.csv') + if etf == 0: + tickers = constituents['symbol'][:50] + elif etf > 0: + tickers = constituents['symbol'] + else: + tickers = constituents['symbol'][50:] + xs = get_equity_returns(tickers=tickers, n_obs=n_obs+n_buffer, verbose=verbose, interval=interval, implied=implied) + + return xs[:-n_buffer] + + +def get_equity_returns(tickers, n_obs:int=60, verbose=True, interval='5d', implied=0, **ignore): + """ Get return series for those of minimum length desired + :param n_dim: Number of assets + :param n_obs: + :param interval: 'd' or 'm' + :return: prices NOT necessarily corresponding to all_tickers + """ + if interval=='m': + interval='1mo' + if interval == 'd': + interval = '1d' + + if interval=='1mo': + assert n_obs<=60,'too many observations for monthly' + + prices = list() + for ticker in tickers: + data = [] + try: + data = get_prices(ticker=ticker,n_obs=n_obs, interval=interval) + if implied: + from precise.skatervaluation.battledata.m6implied import all_vols + vol = all_vols.get(ticker) + if vol is None: + data = [] + else: + data = np.array(data)/vol + + if len(data)==n_obs+1: + prices.append(np.diff(np.log(data))) + if verbose: + print('Got '+ticker+' len '+str(len(data))) + else: + if verbose: + print('Skipping '+ticker+' len '+str(len(data))) + except Exception as e: + print('Failure getting '+ticker) + time.sleep(1) + + prices_transposed = list(map(list, zip(*prices))) + return np.array(prices_transposed) + + +def random_equity_returns(all_tickers, n_dim=10, n_obs:int=60, verbose=True, interval='1d', **ignore): + """ Get return series + :param n_dim: Number of assets desired, but may return less + :param n_obs: + :param interval: '1d' or '1mo' + :return: prices NOT necessarily corresponding to all_tickers + """ + if interval=='1mo': + assert n_obs<=60,'too many observations for monthly' + n_take = min(len(all_tickers),2*n_dim) + tickers = list(np.random.choice(all_tickers, n_take, replace=False)) + unique_tickers = list(set(tickers)) + if len(unique_tickers) n_obs + 10 + except: + got = False + return df + +def random_long_residual(n_obs): + """ Returns random long time series of skater residuals """ + assert n_obs<35000 + + start_time = time.time() + t = [ start_time+24*60*60*60*i for i in range(n_obs) ] + df = random_skater_residual_dataframe(n_obs) + col = random.choice(list(df.columns)) + vals = list(df[col].values) + k = random.choice(list(range(0,len(df.index)-n_obs-5))) + y = vals[k:k+n_obs] + return y,t + + +def random_multivariate_residual(n_obs, as_dataframe=True, random_start=True): + """ Canned skater residual data, potentially useful for studying ensembles """ + assert n_obs < 35000 + df = random_skater_residual_dataframe(n_obs=n_obs) + if random_start: + k = random.choice(list(range(0, len(df.index) - n_obs - 5))) + df = df[k:k+n_obs] + df.dropna(axis=0, how='any', inplace=True) + return df[:n_obs] if as_dataframe else df[:n_obs].values + + +def random_noncollinear_residual(n_obs, random_start=True): + from collinearity import SelectNonCollinear + xs = random_multivariate_residual(n_obs=n_obs, as_dataframe=False, random_start=random_start) + selector = SelectNonCollinear(correlation_threshold=0.99) + xs_noncollinear = selector.fit_transform(xs) + return xs_noncollinear + + + + +if __name__=='__main__': + y,t = random_long_residual(n_obs=1000) + print(y[:10]) \ No newline at end of file diff --git a/precise/skatertools/dictionaries/__init__.py b/precise/skatertools/dictionaries/__init__.py new file mode 100644 index 00000000..e69de29b diff --git a/precise/skatertools/dictionaries/skatercovariance.py b/precise/skatertools/dictionaries/skatercovariance.py new file mode 100644 index 00000000..cc2b2c64 --- /dev/null +++ b/precise/skatertools/dictionaries/skatercovariance.py @@ -0,0 +1,277 @@ +import numpy as np +import pandas as pd +from precise.skaters.covarianceutil.covfunctions import nearest_pos_def, mean_off_diag, cov_to_corrcoef + + +class FixedUniverseSkaterState: + """ + Represents a set of variables (keys) for which we maintain a running covariance estimate. + """ + + def __init__(self, keys, max_buffer=500): + self.keys = list(keys) # Keep keys in a consistent order + self.keys_set = set(keys) + self.staleness = 0 # Counts how many updates have passed without data for this universe + self.longevity = 0 # Total number of updates this universe has been active + self.f_state = {} # State of the skater function + self.running_cov = None # Current covariance estimate + self.running_mean = None # Current mean estimate + self.running_corr = None + self.buffer = list() + self.max_buffer = max_buffer + self.cloned = False + + def update(self, x, f): + if f.__closure__ is not None: + raise ValueError("Function f should not be a closure.") + x = dict(x) + self.buffer.append(x) + if len(self.buffer) > self.max_buffer: + self.buffer.pop(0) + y = [x[k] for k in self.keys] + x_mean, x_cov, posterior_state = f(y=y, s=self.f_state) + self.f_state = posterior_state + self.running_cov = x_cov + self.running_corr = cov_to_corrcoef(self.running_cov) + self.running_mean = x_mean + self.staleness = 0 + self.longevity += 1 + + def clone_and_replay(self, key_subset:[str], f): + """ + Reduce the universe to a subset of keys and re-run the buffer to bring the estimates up to date + """ + # Clone + clone = FixedUniverseSkaterState(keys=key_subset) + + # Replay + clone.f_state = {} + for x in self.buffer: + x_subset = dict( [ (k,v) for k, v in x.items() if k in key_subset] ) + clone.update(x=x_subset, f=f) + return clone + + def __str__(self): + # Print nicely ... + mean_off_diag_corr = mean_off_diag(self.running_corr) + return f"Universe: {self.keys} staleness={self.staleness} longevity={self.longevity} mean_corr={mean_off_diag_corr}" + + +class SkaterCovariance(): + """ + Maintains running covariance estimates using supplied skater functions, handling dynamic keys. + """ + + def __init__(self, max_universes=10, max_staleness=50, min_longevity_for_clone=3): + """ + Parameters + ---------- + f : function + Covariance skater function following precise package conventions. + max_universes : int + Maximum number of states to maintain. + max_staleness : int + Maximum allowed staleness before dropping a universe. + """ + self.states = {} # Mapping from universe index to FixedUniverseSkaterState instances + self.x = None # Most recent data point + self.max_universes = max_universes + self.max_staleness = max_staleness + self.min_longevity_for_clone = min_longevity_for_clone # Min longevity for split + self.universe_counter = 0 # Unique ID for states + + def __str__(self): + return f"SkaterCovariance with {len(self.states)} states" + + def update(self, x: dict, f): + """ + Update running covariance estimates with a new data point. + + Parameters + ---------- + x : dict + Dictionary of keys and their observed values. + """ + # Save the latest data point + self.x = dict(x) + x_keys_set = set(x.keys()) + + # Update existing states + for uni_ndx, fixed_uni_skater in list(self.states.items()): # Iterate over a copy of the items + + if fixed_uni_skater.keys_set.issubset(x_keys_set): + # FixedUniverseSkaterState can be updated easily + fixed_uni_skater.update(x=x,f=f) + else: + # ... but maybe we clone (split) universe into two if the new data has enough overlap + if not fixed_uni_skater.cloned and (fixed_uni_skater.longevity > self.min_longevity_for_clone): + intersect = fixed_uni_skater.keys_set.intersection(x_keys_set) + num_keys = len(fixed_uni_skater.keys_set) + import math + min_overlap_0 = 2 + min_overlap_1 = int(math.ceil(math.sqrt(num_keys))) + min_overlap = max( max(max(min_overlap_1, 2), num_keys - 10), min_overlap_0) + if len(intersect) >= min_overlap: + # Clone the universe with the intersected keys + clone = fixed_uni_skater.clone_and_replay(key_subset=intersect,f=f) + self.states[uni_ndx].cloned = True + self.states[self.universe_counter] = clone + self.universe_counter += 1 + else: + self.states[uni_ndx].staleness += 1 + # Increment staleness if the new data can't really be used to update the universe usefully + fixed_uni_skater.staleness += 1 + else: + try: + self.states[uni_ndx].staleness += 1 + except AttributeError: + print('whaat???') + raise ValueError("") + + # Remove stale states + to_remove = [uni_ndx for uni_ndx, universe in self.states.items() if universe.staleness > self.max_staleness] + for uni_ndx in to_remove: + del self.states[uni_ndx] + + # Create new universe if necessary + existing_universe_keysets = [u.keys_set for u in self.states.values()] + if x_keys_set not in existing_universe_keysets: + # Initialize a new universe + fixed_uni_skater = FixedUniverseSkaterState(keys=x.keys()) + fixed_uni_skater.update(x=x,f=f) + uni_ndx = self.universe_counter + self.states[uni_ndx] = fixed_uni_skater + self.universe_counter += 1 + + # Enforce maximum number of states + if len(self.states) > self.max_universes: + # Remove the stalest universe with the least longevity + stale_universes = sorted( + self.states.items(), + key=lambda item: (-item[1].staleness, item[1].longevity) + ) + stalest_universe_ndx = stale_universes[0][0] + del self.states[stalest_universe_ndx] + + def get_pairwise_cov(self, keys: [str] = None) -> pd.DataFrame: + """ + Retrieve pairwise covariance estimates for the specified keys. + + Parameters + ---------- + keys : list of str + The keys (variables) for which to retrieve covariances. + + Returns + ------- + pd.DataFrame + A DataFrame containing pairwise covariance estimates. + """ + if keys is None: + if self.x is None: + raise ValueError("No keys provided and no data has been updated yet.") + keys = list(self.x.keys()) + + cov_matrix = pd.DataFrame(index=keys, columns=keys, dtype=float) + + # Compute pairwise covariances ... there has to be a better greedy algorithm here + # (e.g. start with longest surviving universe and then look for the next longest surviving universe etc and tag pairs as done) + for i, key_i in enumerate(keys): + for key_j in keys[i:]: + # Find states containing both keys, not stale, with longest longevity + candidate_universes = [ + universe for universe in self.states.values() + if universe.staleness == 0 and {key_i, key_j}.issubset(universe.keys_set) + ] + if candidate_universes: + # Use the universe with longest longevity + selected_universe = max( + candidate_universes, key=lambda u: u.longevity + ) + keys_list = selected_universe.keys + idx_i = keys_list.index(key_i) + idx_j = keys_list.index(key_j) + cov = selected_universe.running_cov[idx_i][idx_j] + cov_matrix.at[key_i, key_j] = cov + cov_matrix.at[key_j, key_i] = cov + else: + # Covariance not available + cov_matrix.at[key_i, key_j] = np.nan + cov_matrix.at[key_j, key_i] = np.nan + + return cov_matrix + + def get_cov(self, keys: [str] = None) -> pd.DataFrame: + """ + Retrieve a full covariance matrix, ensuring positive definiteness. + + Parameters + ---------- + keys : list of str + The keys (variables) for which to retrieve the covariance matrix. + + Returns + ------- + pd.DataFrame + A positive definite covariance matrix. + """ + pairwise_cov = self.get_pairwise_cov(keys=keys) + + # Compute the mean of the non-NaN off-diagonal elements + off_diag_elements = pairwise_cov.where(~np.eye(pairwise_cov.shape[0], dtype=bool)) + fill_cov_value = off_diag_elements.stack().mean() # Grand mean of non-NaN off-diagonal elements + + # Fill NaN values in the pairwise covariance matrix + cov_matrix = pairwise_cov.fillna(fill_cov_value) + + cov_matrix = (cov_matrix + cov_matrix.T) / 2 # Ensure symmetry + + # Adjust to nearest positive-definite matrix + cov_array = cov_matrix.values + cov_array_pd = nearest_pos_def(cov_array) + cov_matrix_pd = pd.DataFrame( + cov_array_pd, index=cov_matrix.index, columns=cov_matrix.columns + ) + return cov_matrix_pd + + def get_pairwise_corr(self, keys: [str] = None) -> pd.DataFrame: + """ + Retrieve pairwise correlation estimates for the specified keys. + + Parameters + ---------- + keys : list of str + The keys (variables) for which to retrieve correlations. + + Returns + ------- + pd.DataFrame + A DataFrame containing pairwise correlation estimates. + """ + pairwise_cov = self.get_pairwise_cov(keys=keys) + variances = pairwise_cov.values.diagonal() + std_dev = np.sqrt(variances) + # Handle division by zero + std_dev[std_dev == 0] = np.nan + corr_matrix = pairwise_cov.divide(std_dev, axis=0).divide(std_dev, axis=1) + return corr_matrix + + def get_corr(self, keys: [str] = None) -> pd.DataFrame: + """ + Retrieve a full correlation matrix. + + Parameters + ---------- + keys : list of str + The keys (variables) for which to retrieve the correlation matrix. + + Returns + ------- + pd.DataFrame + A correlation matrix with ones on the diagonal. + """ + pairwise_corr = self.get_pairwise_corr(keys=keys) + corr_matrix = pairwise_corr.fillna(0) + corr_matrix = (corr_matrix + corr_matrix.T) / 2 # Ensure symmetry + np.fill_diagonal(corr_matrix.values, 1) # Set diagonal to 1 + return corr_matrix diff --git a/precise/skatertools/ensembling/__init__.py b/precise/skatertools/ensembling/__init__.py new file mode 100644 index 00000000..e69de29b diff --git a/precise/skatertools/m6/README.md b/precise/skatertools/m6/README.md new file mode 100644 index 00000000..973b3dd7 --- /dev/null +++ b/precise/skatertools/m6/README.md @@ -0,0 +1,9 @@ + +Utilities for creating M6 Competition Entries + + 1. Pick a cov estimator (i.e. a "cov skater"), if you wish + 2. Pick a portfolio generator, if you wish + 3. Pick extra shrinkage params, if you wish + 4. Pick love and hate ticker lists, if you wish + +See [precise/examples_m6](https://github.com/microprediction/precise/tree/main/examples_m6). diff --git a/precise/skatertools/m6/__init__.py b/precise/skatertools/m6/__init__.py new file mode 100644 index 00000000..e69de29b diff --git a/precise/skatertools/m6/competition.py b/precise/skatertools/m6/competition.py new file mode 100644 index 00000000..2dfdfcf9 --- /dev/null +++ b/precise/skatertools/m6/competition.py @@ -0,0 +1,99 @@ +from pprint import pprint +from precise.skaters.covarianceutil.covfunctions import affine_shrink, nearest_pos_def +from precise.skaters.portfoliostatic.allstaticport import random_port, PORT +from precise.skaters.covariance.allcovskaters import random_cov_skater, cov_skater_manifest +from precise.skatertools.m6.quintileprobabilities import m6_probabilities +from precise.skatertools.m6.tilting import affection_tilt + +# Demonstrates the creation of an entry in the M6 contest +# +# 1. Pick a cov estimator (i.e. a "cov skater"), if you wish +# 2. Pick a portfolio generator, if you wish +# 3. Pick extra shrinkage params, if you wish +# 4. Pick love and hate ticker lists, if you wish + + +def m6_dump(df,file_name): + """ Write to CSV with 'ID' in top corner """ + df.columns = ['Rank'+str(i) for i in range(1,6)] + ['Decision'] + df.reset_index().rename(columns={'index': 'ID'}).to_csv(file_name, index=False) + + +def m6_competition_entry(interval='d', f=None, port=None, n_dim=100, n_samples=5000, n_obs=200, + extra_shrink=True, + phi=1.1, lmbd=0.03, + love:[str]=None, # List of companies you love + hate:[str]=None, # List of companies you hate + intensity:float=1.0, + verbose=True): + """ + Example of generating an M6 Entry + pip install PyPortfolioOpt + + interval - sampling interval to use for cov estimation + n_obs - number of time points to use in cov estimation (max 60 if interval='m') + n_dim - Set at 100 for actual contest, but lower to test + port - A portfolio creator (see /portfolioutil ) + f - A cov skater + extra_shrink - If True, will perform additional shrinkage over and above the skater or portfolio method using + phi - (Additional) Ridge parameter, suggest (1,1.5) + lmbd - (Additional) Shrinkage parameter, suggest (0,0.5) + love - List of tickers of companies whose means will be adjusted upward slightly + hate - List of tickers of companies whose means will be adjusted downward slightly + + """ + if love is None: + love = [] + + if hate is None: + hate = [] + + if port is None: + port = random_port() + if verbose: + print('Choosing a cov estimator from the following list ') + pprint([p.__name__ for p in PORT]) + print('Chose '+port.__name__) + + + if f is None: + print('Choosing a cov estimator from the following list ') + pprint(cov_skater_manifest()) + f = random_cov_skater() + print('Choose '+f.__name__) + + print('Computing rank probabilities') + df_prob, df_cov = m6_probabilities(f=f, interval=interval, n_dim=n_dim, + n_samples=n_samples, + n_obs=n_obs, verbose=verbose, + love=love, hate=hate, intensity=intensity) + cov = df_cov.values + if extra_shrink: + cov = affine_shrink(cov, phi=phi, lmbd=lmbd) + cov = nearest_pos_def(cov) + + print('Computing portfolio w/ ad-hoc tilt') + w = port(cov=cov) + mu = affection_tilt(covdf=df_cov, love=love, hate=hate, intensity=intensity) + w[mu>0] = w[mu>0] + 1.0/5*len(love) + w[mu<0] = w[mu<0] - 1.0/2*len(love) + + sum_abs = sum( [abs(wi) for wi in w] ) + w_normalized = [ wi/sum_abs for wi in w] + w_rounded = [round(wi, 5) for wi in w_normalized] + + entry = df_prob.copy() + entry['Decision'] = w_rounded + entry.rename(inplace=True, columns={'0': 'Rank1', '1': 'Rank2', '2': 'Rank3', '3': 'Rank4', '4': 'Rank5'}) + return entry + + + +if __name__=='__main__': + df = m6_competition_entry() + m6_dump(df=df,file_name='m6_competition_entry.csv') + + + + + diff --git a/precise/skatertools/m6/covarianceforecasting.py b/precise/skatertools/m6/covarianceforecasting.py new file mode 100644 index 00000000..883cc8a7 --- /dev/null +++ b/precise/skatertools/m6/covarianceforecasting.py @@ -0,0 +1,51 @@ +import numpy as np +from precise.skatertools.data.equitylive import get_prices +import pandas as pd +from pprint import pprint +from precise.skaters.covariance.runemp import run_emp_pcov_d0 + + +def m6_data(interval='d', n_dim=100, n_obs=300): + tickers = pd.read_csv( + 'https://raw.githubusercontent.com/Mcompetitions/M6-methods/main/assets_m6.csv')['symbol'].unique()[:n_dim] + if (interval=='m') and (n_obs>60): + print('Too many obs, switching to daily ') + interval = 'd' + df = pd.DataFrame(columns=tickers) + for ticker in tickers: + closing_prices = get_prices(ticker=ticker, n_obs=n_obs+1, interval=interval) + while len(closing_prices) < n_obs+1: + closing_prices = list(closing_prices) + list(closing_prices) + closing_prices = closing_prices[-n_obs:] + df[ticker] = np.diff(np.log(closing_prices)) + return df + + +def m6_cov(f=None, interval='d', n_dim=100, n_obs=300): + """ Use any skater to estimate daily (by default) covariancecomparisonutil + :param f: cov skater + :return: + """ + if f is None: + f = run_emp_pcov_d0 + df = m6_data(interval=interval, n_dim=n_dim, n_obs=n_obs) + tickers = list(df.columns) + + s = {} + for y in df.values: + x_mean, x_cov, s = f(s=s, y=y) + return pd.DataFrame(index=tickers, columns=tickers, data=x_cov) + + +def m6_corr(f=None, n_dim=100, interval='d',n_obs=300): + from precise.skaters.covarianceutil.datafunctions import cov_to_corrcoef + covdf = m6_cov(f=f, n_dim=n_dim, interval=interval, n_obs=n_obs) + tickers = list(covdf.columns) + corr = cov_to_corrcoef(covdf.values) + dfc = pd.DataFrame(index=tickers, columns=tickers, data=corr) + return dfc + + +if __name__=='__main__': + from precise.skaters.covariance.ewaemp import ewa_emp_pcov_d0_r01 as f + pprint(m6_corr(interval='d',n_dim=4,f=f)) diff --git a/precise/skatertools/m6/m6_competition_entry.csv b/precise/skatertools/m6/m6_competition_entry.csv new file mode 100644 index 00000000..8e1e7da8 --- /dev/null +++ b/precise/skatertools/m6/m6_competition_entry.csv @@ -0,0 +1,101 @@ +ID,Rank1,Rank2,Rank3,Rank4,Rank5,Decision +ABBV,0.1694,0.236,0.1942,0.2378,0.1626,0.01045 +ACN,0.2682,0.174,0.1228,0.1764,0.2586,0.00394 +AEP,0.1152,0.2714,0.2242,0.2766,0.1126,0.00604 +AIZ,0.1642,0.2474,0.1866,0.2444,0.1574,0.01877 +ALLE,0.217,0.1978,0.1652,0.2006,0.2194,0.0081 +AMAT,0.3482,0.1186,0.071,0.113,0.3492,0.0 +AMP,0.2496,0.1852,0.1258,0.1972,0.2422,0.01027 +AMZN,0.288,0.1686,0.1096,0.1634,0.2704,0.00661 +AVB,0.1772,0.2346,0.1768,0.239,0.1724,0.00582 +AVY,0.267,0.1682,0.126,0.1778,0.261,0.0069 +AXP,0.2936,0.1476,0.1126,0.1536,0.2926,0.00397 +BDX,0.1892,0.2268,0.165,0.2232,0.1958,0.00733 +BF-B,0.1904,0.2146,0.1672,0.2304,0.1974,0.00514 +BMY,0.1744,0.2342,0.1836,0.2314,0.1764,0.00788 +BR,0.2542,0.1748,0.1268,0.2028,0.2414,0.00547 +CARR,0.2588,0.1756,0.1246,0.1848,0.2562,0.00769 +CDW,0.2402,0.1884,0.1318,0.1872,0.2524,0.00774 +CE,0.2344,0.1974,0.1348,0.1904,0.243,0.00532 +CHTR,0.251,0.1814,0.128,0.1774,0.2622,0.00387 +CNC,0.2622,0.1744,0.1124,0.166,0.285,0.00178 +CNP,0.1524,0.2514,0.1904,0.258,0.1478,0.00671 +COP,0.2964,0.1494,0.1074,0.1504,0.2964,0.00067 +CTAS,0.2314,0.193,0.1514,0.193,0.2312,0.00766 +CZR,0.3744,0.1046,0.0682,0.0934,0.3594,0.00069 +DG,0.2272,0.1936,0.1504,0.2094,0.2194,0.00964 +DPZ,0.2904,0.1584,0.1092,0.1636,0.2784,0.006 +DRE,0.1872,0.2218,0.1686,0.2316,0.1908,0.00608 +DXC,0.3428,0.102,0.081,0.1082,0.366,0.00281 +FB,0.4078,0.0718,0.0466,0.0732,0.4006,0.0 +FTV,0.2668,0.179,0.114,0.1712,0.269,0.00659 +GOOG,0.2676,0.1864,0.1146,0.1758,0.2556,0.00347 +GPC,0.216,0.2088,0.16,0.198,0.2172,0.01045 +HIG,0.2064,0.2126,0.1646,0.2174,0.199,0.01363 +HST,0.2872,0.1606,0.1098,0.159,0.2834,0.00533 +JPM,0.2362,0.1974,0.1368,0.196,0.2336,0.00522 +KR,0.315,0.1418,0.094,0.143,0.3062,0.00451 +OGN,0.2866,0.156,0.116,0.1548,0.2866,0.0053 +PG,0.126,0.2576,0.2174,0.2754,0.1236,0.0099 +PPL,0.0756,0.2792,0.2832,0.2894,0.0726,0.0111 +PRU,0.238,0.195,0.1408,0.1894,0.2368,0.01291 +PYPL,0.3966,0.0742,0.0492,0.0792,0.4008,0.00185 +RE,0.2032,0.218,0.1578,0.2118,0.2092,0.00864 +ROL,0.2786,0.1688,0.1134,0.1574,0.2818,0.00615 +ROST,0.2704,0.1648,0.122,0.162,0.2808,0.00641 +UNH,0.1892,0.216,0.1678,0.2344,0.1926,0.00869 +URI,0.3056,0.1458,0.0946,0.1446,0.3094,0.00317 +V,0.2898,0.153,0.1044,0.16,0.2928,0.00705 +VRSK,0.216,0.2096,0.1536,0.2078,0.213,0.00782 +WRK,0.2722,0.178,0.1176,0.165,0.2672,0.00639 +XOM,0.2726,0.1674,0.1188,0.1714,0.2698,0.00859 +IVV,0.1272,0.2634,0.2256,0.2588,0.125,0.01709 +IWM,0.2304,0.1972,0.1456,0.2036,0.2232,0.01398 +EWU,0.1004,0.2714,0.2536,0.2676,0.107,0.0158 +EWG,0.1098,0.274,0.2296,0.2718,0.1148,0.01282 +EWL,0.1048,0.2786,0.2436,0.2686,0.1044,0.01234 +EWQ,0.129,0.2606,0.2238,0.2524,0.1342,0.01008 +IEUS,0.1522,0.2416,0.2082,0.247,0.151,0.00933 +EWJ,0.1218,0.2658,0.2262,0.2572,0.129,0.01385 +EWT,0.1898,0.2164,0.176,0.2336,0.1842,0.00926 +MCHI,0.2418,0.1858,0.132,0.1914,0.249,0.0066 +INDA,0.1904,0.2244,0.1632,0.229,0.193,0.00761 +EWY,0.2104,0.2114,0.151,0.2076,0.2196,0.00499 +EWA,0.1636,0.2414,0.1908,0.245,0.1592,0.01314 +EWH,0.1122,0.2678,0.2344,0.2646,0.121,0.02375 +EWZ,0.2816,0.1636,0.1022,0.159,0.2936,0.00778 +EWC,0.1536,0.245,0.1954,0.2534,0.1526,0.01521 +IEMG,0.1534,0.2428,0.199,0.255,0.1498,0.0148 +LQD,0.004,0.2596,0.4874,0.2472,0.0018,0.02118 +HYG,0.0004,0.1794,0.6584,0.1616,0.0002,0.05039 +SHY,0.0,0.0,1.0,0.0,0.0,0.05382 +IEF,0.0008,0.2344,0.552,0.2122,0.0006,0.00635 +TLT,0.1132,0.2706,0.2428,0.2692,0.1042,0.00258 +SEGA.L,0.0,0.1806,0.6584,0.1608,0.0002,0.0232 +IEAA.L,0.0,0.0712,0.872,0.0568,0.0,0.02555 +HIGH.L,0.0,0.1396,0.7292,0.1312,0.0,0.02872 +JPEA.L,0.004,0.2588,0.4832,0.2496,0.0044,0.02283 +IAU,0.3928,0.0816,0.0492,0.076,0.4004,0.00099 +SLV,0.2006,0.2108,0.161,0.2234,0.2042,0.0123 +GSG,0.1752,0.225,0.1772,0.2418,0.1808,0.00985 +REET,0.1112,0.2728,0.2338,0.271,0.1112,0.01222 +ICLN,0.2686,0.1678,0.1268,0.1666,0.2702,0.00507 +IXN,0.2176,0.2136,0.1476,0.2074,0.2138,0.00976 +IGF,0.0636,0.2854,0.3006,0.2898,0.0606,0.01661 +IUVL.L,0.188,0.2272,0.162,0.2272,0.1956,0.00452 +IUMO.L,0.2464,0.1852,0.1332,0.1854,0.2498,0.0017 +SPMV.L,0.1252,0.2604,0.2276,0.2646,0.1222,0.00774 +IEVL.L,0.1532,0.2456,0.2032,0.243,0.155,0.00808 +IEFM.L,0.483,0.0078,0.0052,0.0136,0.4904,0.0 +MVEU.L,0.0876,0.291,0.2524,0.2744,0.0946,0.01201 +XLK,0.225,0.2052,0.1548,0.1928,0.2222,0.00938 +XLF,0.1752,0.2388,0.179,0.2356,0.1714,0.01989 +XLV,0.0838,0.2866,0.2612,0.287,0.0814,0.01748 +XLE,0.2556,0.1792,0.124,0.1834,0.2578,0.00628 +XLY,0.228,0.2006,0.1432,0.206,0.2222,0.01208 +XLI,0.1274,0.2646,0.2202,0.259,0.1288,0.01963 +XLC,0.2332,0.1994,0.1488,0.1908,0.2278,0.00827 +XLU,0.1078,0.272,0.2434,0.271,0.1058,0.00742 +XLP,0.064,0.2826,0.3022,0.2978,0.0534,0.014 +XLB,0.1448,0.255,0.2026,0.2548,0.1428,0.01515 +VXX,0.4094,0.0634,0.0446,0.0662,0.4164,5e-05 diff --git a/precise/skatertools/m6/probabilities.csv b/precise/skatertools/m6/probabilities.csv new file mode 100644 index 00000000..5a16ce24 --- /dev/null +++ b/precise/skatertools/m6/probabilities.csv @@ -0,0 +1,101 @@ +,0,1,2,3,4 +ABBV,0.1992,0.2206,0.1598,0.2256,0.1948 +ACN,0.207,0.2094,0.1628,0.2078,0.213 +AEP,0.1546,0.2476,0.2058,0.2394,0.1526 +AIZ,0.1956,0.215,0.1662,0.2238,0.1994 +ALLE,0.2184,0.1952,0.1572,0.2038,0.2254 +AMAT,0.339,0.1114,0.082,0.1136,0.354 +AMP,0.2516,0.1768,0.1234,0.1786,0.2696 +AMZN,0.2408,0.1884,0.1398,0.1852,0.2458 +AVB,0.184,0.215,0.1778,0.2354,0.1878 +AVY,0.2288,0.192,0.1472,0.1922,0.2398 +AXP,0.2716,0.1748,0.111,0.1618,0.2808 +BDX,0.178,0.239,0.1778,0.2332,0.172 +BF-B,0.208,0.2172,0.1684,0.209,0.1974 +BMY,0.1806,0.2262,0.1788,0.2288,0.1856 +BR,0.2034,0.2086,0.165,0.2194,0.2036 +CARR,0.2542,0.1838,0.1238,0.1756,0.2626 +CDW,0.236,0.1844,0.1384,0.194,0.2472 +CE,0.2458,0.1766,0.1342,0.1852,0.2582 +CHTR,0.2516,0.184,0.14,0.1912,0.2332 +CNC,0.2886,0.1624,0.1156,0.1538,0.2796 +CNP,0.2204,0.199,0.157,0.212,0.2116 +COP,0.3208,0.1332,0.0914,0.1324,0.3222 +CTAS,0.2344,0.1874,0.1406,0.2008,0.2368 +CZR,0.3602,0.1028,0.072,0.1032,0.3618 +DG,0.2158,0.2048,0.1682,0.2064,0.2048 +DPZ,0.2712,0.1748,0.1218,0.1642,0.268 +DRE,0.1756,0.2342,0.1774,0.2292,0.1836 +DXC,0.3408,0.1164,0.0784,0.1234,0.341 +FB,0.279,0.1612,0.1204,0.1646,0.2748 +FTV,0.206,0.2072,0.1516,0.22,0.2152 +GOOG,0.2372,0.1952,0.142,0.1896,0.236 +GPC,0.2272,0.2044,0.1392,0.1928,0.2364 +HIG,0.2686,0.1536,0.1282,0.1676,0.282 +HST,0.2974,0.146,0.1074,0.15,0.2992 +JPM,0.2302,0.1894,0.1468,0.2024,0.2312 +KR,0.2968,0.1476,0.106,0.152,0.2976 +OGN,0.3256,0.1334,0.0914,0.1254,0.3242 +PG,0.1194,0.2752,0.2262,0.2614,0.1178 +PPL,0.1566,0.2508,0.1886,0.2396,0.1644 +PRU,0.244,0.177,0.1266,0.1886,0.2638 +PYPL,0.3208,0.1342,0.0944,0.1352,0.3154 +RE,0.2304,0.1962,0.1384,0.1914,0.2436 +ROL,0.272,0.1656,0.1102,0.1758,0.2764 +ROST,0.2772,0.1598,0.1136,0.1672,0.2822 +UNH,0.1916,0.2224,0.1728,0.2338,0.1794 +URI,0.3104,0.1346,0.0966,0.143,0.3154 +V,0.2552,0.1864,0.1264,0.186,0.246 +VRSK,0.2192,0.2024,0.1568,0.1978,0.2238 +WRK,0.288,0.1548,0.1074,0.1488,0.301 +XOM,0.2986,0.151,0.1034,0.1508,0.2962 +IVV,0.0986,0.2782,0.2426,0.284,0.0966 +IWM,0.2166,0.1944,0.1574,0.2102,0.2214 +EWU,0.1362,0.2584,0.2124,0.2622,0.1308 +EWG,0.1214,0.261,0.2272,0.2716,0.1188 +EWL,0.0844,0.2882,0.26,0.2886,0.0788 +EWQ,0.1374,0.257,0.2102,0.2634,0.132 +IEUS,0.14,0.2514,0.2094,0.2666,0.1326 +EWJ,0.1214,0.269,0.2186,0.2632,0.1278 +EWT,0.1942,0.2128,0.1664,0.2324,0.1942 +MCHI,0.2572,0.1748,0.1358,0.1676,0.2646 +INDA,0.1778,0.2252,0.185,0.2356,0.1764 +EWY,0.2158,0.2032,0.1498,0.2132,0.218 +EWA,0.1554,0.2474,0.1958,0.2444,0.157 +EWH,0.1432,0.2554,0.2136,0.2558,0.132 +EWZ,0.301,0.1442,0.1054,0.1572,0.2922 +EWC,0.1326,0.2498,0.2172,0.2644,0.136 +IEMG,0.1616,0.243,0.1914,0.2434,0.1606 +LQD,0.0072,0.2692,0.4902,0.2316,0.0018 +HYG,0.0,0.1708,0.704,0.1252,0.0 +SHY,0.0,0.0,1.0,0.0,0.0 +IEF,0.0008,0.2408,0.5766,0.1818,0.0 +TLT,0.1228,0.2724,0.2418,0.2632,0.0998 +SEGA.L,0.175,0.245,0.1924,0.2328,0.1548 +IEAA.L,0.0,0.0304,0.9554,0.0142,0.0 +HIGH.L,0.0,0.0982,0.8382,0.0636,0.0 +JPEA.L,0.0028,0.2452,0.5336,0.2172,0.0012 +IAU,0.4238,0.0608,0.0378,0.0568,0.4208 +SLV,0.2724,0.1738,0.1206,0.1626,0.2706 +GSG,0.191,0.2214,0.1758,0.2242,0.1876 +REET,0.1046,0.2736,0.2374,0.2814,0.103 +ICLN,0.3012,0.1328,0.1016,0.1646,0.2998 +IXN,0.1798,0.2346,0.1644,0.2342,0.187 +IGF,0.0854,0.2918,0.265,0.2676,0.0902 +IUVL.L,0.169,0.23,0.1922,0.2514,0.1574 +IUMO.L,0.2144,0.2102,0.1544,0.2082,0.2128 +SPMV.L,0.0772,0.297,0.2626,0.2836,0.0796 +IEVL.L,0.1412,0.2506,0.2078,0.269,0.1314 +IEFM.L,0.4934,0.0068,0.0044,0.0062,0.4892 +MVEU.L,0.0526,0.2964,0.3032,0.2954,0.0524 +XLK,0.182,0.2328,0.1716,0.2234,0.1902 +XLF,0.1782,0.2268,0.1718,0.2418,0.1814 +XLV,0.0762,0.2888,0.267,0.2978,0.0702 +XLE,0.2926,0.1516,0.1092,0.1484,0.2982 +XLY,0.1836,0.2248,0.177,0.2328,0.1818 +XLI,0.134,0.2494,0.2116,0.2754,0.1296 +XLC,0.1588,0.2422,0.2066,0.2416,0.1508 +XLU,0.1252,0.2762,0.2152,0.264,0.1194 +XLP,0.061,0.2936,0.2992,0.2892,0.057 +XLB,0.154,0.2436,0.1944,0.2442,0.1638 +VXX,0.4176,0.0756,0.0426,0.07,0.3942 diff --git a/precise/skatertools/m6/quintileprobabilities.py b/precise/skatertools/m6/quintileprobabilities.py new file mode 100644 index 00000000..748ecb87 --- /dev/null +++ b/precise/skatertools/m6/quintileprobabilities.py @@ -0,0 +1,58 @@ +import numpy as np +import pandas as pd +from precise.skatertools.m6.covarianceforecasting import m6_cov +from precise.skatertools.m6.tilting import affection_tilt + +# M6 Quintile probability estimates by Monte Carlo + + +def what_pctl_number_of(x, a, pctls=[20,40,60,80]): + return np.argmax(np.sign(np.append(np.percentile(x, pctls), np.inf) - a)) + + +def mvn_quintile_probabilities(sgma, n_samples, mu=None): + n_dim = np.shape(sgma)[0] + if mu is None: + mu = np.zeros(n_dim) + x = np.random.multivariate_normal(mu, sgma, size=n_samples, check_valid='warn', tol=1e-8) + y = scores_to_quintiles(x) + p = list() + for i in range(5): + pi = np.mean(y==i,axis=0) + p.append(pi) + return p + + +def scores_to_quintiles(x): + ys = list() + q = np.quantile(x,[0.2,0.4,0.6,0.8]) + for xi in x: + y = np.searchsorted(q, xi) + ys.append(y) + return np.array(ys) + + + +def m6_probabilities(f, interval='d',n_dim=100, n_samples=5000, n_obs=200, verbose=False, love=None, hate=None, intensity=1.0): + if verbose: + print(' ... retrieving data and estimating covariancecomparisonutil') + covdf = m6_cov(f=f, interval=interval, n_dim=n_dim, n_obs=n_obs) + tickers = list(covdf.columns) + sgma = covdf.values + mu = affection_tilt(covdf=covdf, love=love, hate=hate, intensity=intensity) + + if verbose: + print(' ... performing Monte Carlo for rank probabilities') + + p = mvn_quintile_probabilities(mu=mu, sgma=sgma, n_samples=n_samples) + df = pd.DataFrame(columns=tickers, data=p).transpose() + df_cov = pd.DataFrame(columns=tickers, index=tickers, data=sgma) + return df, df_cov + + +if __name__=='__main__': + df = m6_probabilities(n_dim=5) + + + + diff --git a/precise/skatertools/m6/tilting.py b/precise/skatertools/m6/tilting.py new file mode 100644 index 00000000..f3e7396f --- /dev/null +++ b/precise/skatertools/m6/tilting.py @@ -0,0 +1,28 @@ + +import numpy as np +import pandas as pd + + +def affection_tilt(covdf:pd.DataFrame, love:[str]=None, hate:[str]=None, intensity=1.0): + """ Convert list of tickers loved and hated into relative means + :param covdf: covariancecomparisonutil pandas dataframe with tickers as columns and index + :param love: + :param hate: + :return: + """ + mean_var = np.mean(np.diag(covdf.values)) + tickers = list(covdf.columns) + n_dim = len(tickers) + + mu = np.zeros(n_dim) + if love is not None: + for ticker in love: + if ticker in tickers: + mu[tickers.index(ticker)] = intensity * 0.1 * mean_var / 2 + + if hate is not None: + for ticker in hate: + if ticker in tickers: + mu[tickers.index(ticker)] = -intensity * 0.1 * mean_var / 2 + + return mu \ No newline at end of file diff --git a/precise/skatertools/syntheticdata/README.md b/precise/skatertools/syntheticdata/README.md new file mode 100644 index 00000000..f8984045 --- /dev/null +++ b/precise/skatertools/syntheticdata/README.md @@ -0,0 +1 @@ +### Synthetic data generation \ No newline at end of file diff --git a/precise/skatertools/syntheticdata/__init__.py b/precise/skatertools/syntheticdata/__init__.py new file mode 100644 index 00000000..e69de29b diff --git a/precise/skatertools/syntheticdata/factor.py b/precise/skatertools/syntheticdata/factor.py new file mode 100644 index 00000000..914741e5 --- /dev/null +++ b/precise/skatertools/syntheticdata/factor.py @@ -0,0 +1,41 @@ +from sklearn.datasets import make_spd_matrix +import numpy as np +import random + + +def create_factor_dataset(n, n_dim): + Eidio = make_spd_matrix(n_dim=n_dim) + Xidio = np.random.multivariate_normal(mean=np.zeros(n_dim), cov = Eidio, size=n) + D = np.diag([ random.choice([0.25,1.0,4]) for _ in range(n_dim) ]) + Ecommon = 0.4*np.eye(n_dim) + 0.6*np.ones(n_dim) + cov_common = np.matmul(np.matmul(D,Ecommon),D) + Xcommon = np.random.multivariate_normal(mean=np.zeros(n_dim), cov = Ecommon, size=n) + x = Xcommon + Xidio + return x + + + +def create_disjoint_factor_dataset(n, n_dims:[int]): + xs = [ create_factor_dataset(n,n_dim) for n_dim in n_dims ] + x = xs[0] + for xi in xs[1:]: + x = np.concatenate( [x,xi], axis=1) + return x + + + +def create_band_dataset(n, n_dim, n_bands=5): + z1 = create_factor_dataset(n, n_dim) + z2 = create_factor_dataset(n, n_dim) + R = np.zeros(shape=(n_dim,n_dim)) + for i in range(n_dim): + R[i,i] = 0.75 + try: + for j in range(1,n_bands+1): + R[i,i+j] = np.random.rand()*0.5 + except IndexError: + pass + x = np.matmul(z1,R.T) + z1 + return x + + diff --git a/precise/skatertools/syntheticdata/miscellaneous.py b/precise/skatertools/syntheticdata/miscellaneous.py new file mode 100644 index 00000000..b28c6fa5 --- /dev/null +++ b/precise/skatertools/syntheticdata/miscellaneous.py @@ -0,0 +1,20 @@ +import numpy as np +import random + + +def create_correlated_dataset(n, mu=None, dependency=None, scale=None): + if mu is None: + mu = (2.2, 4.4, 1.5) + if dependency is None: + dependency = np.array([[0.2, 0.5, 0.7],[0.3, 0.2, 0.2],[0.5,0.3,0.1]]) + if scale is None: + scale = (1, 5, 3) + latent = np.random.randn(n, dependency.shape[0]) + dependent = latent.dot(dependency) + scaled = dependent * scale + x = scaled + mu + return x + + + + diff --git a/precise/skatervaluation/.DS_Store b/precise/skatervaluation/.DS_Store new file mode 100644 index 00000000..6a70de78 Binary files /dev/null and b/precise/skatervaluation/.DS_Store differ diff --git a/precise/skatervaluation/README.md b/precise/skatervaluation/README.md new file mode 100644 index 00000000..fdc65a91 --- /dev/null +++ b/precise/skatervaluation/README.md @@ -0,0 +1,10 @@ + + + +### Comparison utilities + + - Portfolios, cov estimators, managers + +### Battle utilities +Used for Elo rating generation + diff --git a/precise/skatervaluation/__init__.py b/precise/skatervaluation/__init__.py new file mode 100644 index 00000000..e69de29b diff --git a/precise/skatervaluation/battledata/README.md b/precise/skatervaluation/battledata/README.md new file mode 100644 index 00000000..016a906c --- /dev/null +++ b/precise/skatervaluation/battledata/README.md @@ -0,0 +1,8 @@ + +## Data for Elo rating battles + +A battle data source is any function taking + + source(params) -> (params, category, xs) + +where xs is n_samples x n_dim \ No newline at end of file diff --git a/precise/skatervaluation/battledata/__init__.py b/precise/skatervaluation/battledata/__init__.py new file mode 100644 index 00000000..e69de29b diff --git a/precise/skatervaluation/battledata/allsources.py b/precise/skatervaluation/battledata/allsources.py new file mode 100644 index 00000000..30222557 --- /dev/null +++ b/precise/skatervaluation/battledata/allsources.py @@ -0,0 +1,44 @@ + +from precise.skatervaluation.battledata.m6source import m6_source +from precise.skatervaluation.battledata.stockssource import stocks_source +from precise.skatervaluation.battledata.tmsource import tm_source +from precise.skatervaluation.battledata.sourceconventions import verify_source_outputs +import numpy as np + +# Dispatch to data for Elo battles + + +SOURCES = [m6_source, stocks_source, tm_source] +SOURCE_NAMES = [ s.__name__.replace('_source','') for s in SOURCES ] + + +def params_category_and_data(params:dict)->(dict, str, np.ndarray): + """ + Dispatcher for data sources suitable for Elo fights + + :param params - User or default parameters. + - params['topic'] should be in SOURCE_NAMES + - Other params can be specific to the data source + - Most params are inferred from the battlescript file names + + :returns (combined_params, category:str, xs:2d np array) + - combined_params is a fleshed-out dictionary merging in some defaults + - category refers to the battleresults directory + - xs is a collection of (typically) log differences + o Each row is a sample + o Each column is a variable + + """ + if params['topic']=='m6': + outputs = m6_source(params=params) + elif params['topic']=='stocks': + outputs = stocks_source(params=params) + elif params['topic']=='tm': + outputs = tm_source(params=params) + else: + print('Available topics are '+ str(SOURCE_NAMES)) + print('Topic '+params.get('topic')+' not recognized.') + raise ValueError() + verify_source_outputs(outputs=outputs) + return outputs + diff --git a/precise/skatervaluation/battledata/m6implied.py b/precise/skatervaluation/battledata/m6implied.py new file mode 100644 index 00000000..7696618d --- /dev/null +++ b/precise/skatervaluation/battledata/m6implied.py @@ -0,0 +1,95 @@ + +stock_vols = {'ABBV':21.7, + 'ACN':23.9, + 'AEP':17.1, + 'AIZ':18.4, + 'ALLE':24.8, + 'AMAT':39.4, + 'AMP':25.8, + 'AMZN':33.6, + 'AVB':22.4, + 'AVY':23.7, + 'AXP':26.8, + 'BDX':19.6, + 'BMY':21.1, + 'BF-B':23.3, + 'BR':21.4, + 'CARR':26.2, + 'CDW':23.8, + 'CE':30.3, + 'CHTR':30.8, + 'CNC':24.9, + 'CNP':18.7, + 'COP':39.5, + 'CTAS':22.7, + 'CZR':59.4, + 'DG':30.3, + 'DPZ':25.1, + 'DRE':23.6, + 'DXC':36.9, + 'FB':40.9, + 'FTV':22.4, + 'GOOG':27.5, + 'GPC':19.8, + 'HIG':20.8, + 'HST':32.4, + 'JPM':24.7, + 'KR':35.7, + 'OGN':28.4, + 'PG':16.9, + 'PPL':17.6, + 'PRU':23.7, + 'PYPL':42.8, + 'RE':19.1, + 'ROL':28.7, + 'ROST':32.8, + 'UNH':20.6, + 'URI':34.7, + 'V':24.0, + 'VRSK':19.7, + 'WRK':29.9, + 'XOM':32.6} + +etf_vols={'EWA':18.9, + 'EWC':20.4, + 'EWG':28.4, + 'EWH':16.2, + 'EWJ':16.5, + 'EWL':19.4, + 'EWQ':26.2, + 'EWT':21.9, + 'EWU':19.3, + 'EWY':22.8, + 'EWZ':34.4, + 'GSG':30.6, + 'HYG':12.8, + 'IAU':14.3, + 'ICLN':35.9, + 'IEF':10.1, + 'IEMG':17.4, + 'IEUS':20, + 'IGF':17.1, + 'INDA':17.1, + 'IVV':18.2, + 'IWM':23.6, + 'IXN':25.2, + 'LQD':11.4, + 'MCHI':26.2, + 'REET':16.9, + 'SHY':2.6, + 'SLV':27.2, + 'TLT':18.5, + 'VXX':77.6, + 'XLB':20.0, + 'XLC':23.7, + 'XLE':33.1, + 'XLF':20.2, + 'XLI':17.8, + 'XLK':23.6, + 'XLP':13.6, + 'XLU':16.4, + 'XLV':16.0, + 'XLY':27.4} + +all_vols = stock_vols.copy() +all_vols.update(etf_vols) diff --git a/precise/skatervaluation/battledata/m6source.py b/precise/skatervaluation/battledata/m6source.py new file mode 100644 index 00000000..c8b66082 --- /dev/null +++ b/precise/skatervaluation/battledata/m6source.py @@ -0,0 +1,44 @@ +from precise.skatertools.data.equitylive import random_m6_returns, all_m6_returns +from precise.skatervaluation.battledata.sourceconventions import verify_source_outputs +import numpy as np + + +DEFAULT_M6_PARAMS = {'n_dim': 25, + 'n_obs': 356, + 'n_burn':300, + 'atol': 1, + 'lb':-1000, + 'ub':1000, + 'interval':'d', + 'etf':1, + 'implied':0} + + +def m6_source(params)->(dict, str, np.ndarray): + """ + Slowly get up to date data via Yahoo + """ + combined_params = DEFAULT_M6_PARAMS + combined_params.update(params) + etf = combined_params['etf'] + if etf>0.5: + descriptions = {'m':'m6_monthly', 'd':'m6_daily'} + elif etf<-0.5: + descriptions = {'m': 'm6_etf_monthly', 'd': 'm6_etf_daily'} + else: + descriptions = {'m': 'm6_stocks_monthly', 'd': 'm6_stocks_daily'} + + combined_params['description'] = descriptions[combined_params['interval']] + category = combined_params['description'] + '_p' + str(combined_params['n_dim']) + '_n' + str( + combined_params['n_burn']) + if params.get('implied'): + category = category+'_implied' + + if combined_params['n_dim']<50: + xs = random_m6_returns(verbose=False, **combined_params) + verify_source_outputs((combined_params,category,xs)) + else: + xs = all_m6_returns(verbose=False, **combined_params) + return combined_params, category, xs + + diff --git a/precise/skatervaluation/battledata/sourceconventions.py b/precise/skatervaluation/battledata/sourceconventions.py new file mode 100644 index 00000000..ca6bdcb9 --- /dev/null +++ b/precise/skatervaluation/battledata/sourceconventions.py @@ -0,0 +1,8 @@ +import numpy as np + + +def verify_source_outputs(outputs, n_dim=2): + params, category, xs = outputs + assert isinstance(category ,str) + assert isinstance(params ,dict) + assert np.shape(xs)[0 ] >20 diff --git a/precise/skatervaluation/battledata/stockssource.py b/precise/skatervaluation/battledata/stockssource.py new file mode 100644 index 00000000..a98bbee0 --- /dev/null +++ b/precise/skatervaluation/battledata/stockssource.py @@ -0,0 +1,25 @@ +from precise.skatertools.data.equityhistorical import random_cached_equity_dense +from precise.skatervaluation.battledata.sourceconventions import verify_source_outputs +import numpy as np + +DEFAULT_STOCK_PARAMS = {'n_dim': 25, + 'n_obs': 356, + 'n_burn':300, + 'atol': 1, + 'lb':-1000, + 'ub':1000, + 'k':1} + + +def stocks_source(params)->(dict, str, np.ndarray): + """ + Quickly get canned historical data from precisedata GitHub repo + """ + combined_params = DEFAULT_STOCK_PARAMS + combined_params.update(params) + combined_params['description'] = 'stocks_' + str(combined_params['k']) + '_days' + category = combined_params['description'] + '_p' + str(combined_params['n_dim']) + '_n' + str( + combined_params['n_burn']) + xs = random_cached_equity_dense(as_frame=False, **combined_params) + verify_source_outputs((combined_params, category, xs)) + return combined_params, category, xs \ No newline at end of file diff --git a/precise/skatervaluation/battledata/tmsource.py b/precise/skatervaluation/battledata/tmsource.py new file mode 100644 index 00000000..991a6d09 --- /dev/null +++ b/precise/skatervaluation/battledata/tmsource.py @@ -0,0 +1,31 @@ +from precise.skatertools.data.skaterresiduals import random_multivariate_residual, random_noncollinear_residual +from precise.skatervaluation.battledata.sourceconventions import verify_source_outputs +import numpy as np + + +DEFAULT_TM_PARAMS = {'n_dim': 25, + 'n_obs': 356, + 'n_burn':300, + 'atol': 1, + 'raw':1, + 'lb':-1000, + 'ub':1000} + + +def tm_source(params)->(dict, str, np.ndarray): + """ + Retrieve from a cache of time-series models residuals in the precisedata GitHub repo + + params['collinear'] - If not True, we first create a less-collinear set of residuals + + """ + combined_params = DEFAULT_TM_PARAMS + combined_params.update(params) + combined_params['description'] = 'tm_residuals' if combined_params['raw'] else 'tm_noncollinear' + category = combined_params['description'] + '_p' + str(combined_params['n_dim']) + '_n' + str( combined_params['n_burn']) + if combined_params['raw']: + xs = random_multivariate_residual(n_obs=combined_params['n_obs'], as_dataframe=False, random_start=True) + else: + xs = random_noncollinear_residual(n_obs=combined_params['n_obs'], random_start=True) + verify_source_outputs((combined_params,category,xs)) + return combined_params, category, xs \ No newline at end of file diff --git a/precise/skatervaluation/battlelatex/__init__.py b/precise/skatervaluation/battlelatex/__init__.py new file mode 100644 index 00000000..e69de29b diff --git a/precise/skatervaluation/battlelatex/tables.py b/precise/skatervaluation/battlelatex/tables.py new file mode 100644 index 00000000..513d202f --- /dev/null +++ b/precise/skatervaluation/battlelatex/tables.py @@ -0,0 +1,107 @@ + +from precise.skatervaluation.battleutil.compilingeloratings import elo_from_win_files +from texttable import Texttable +from latextable import draw_latex + + +def leaderboard_to_latex(leaderboard, caption, label, max_rows=42): + # Oh so ugly :) + MANAGER_REPLACEMENTS = {'_t0':' target=0', + '_pm':' partial moments ', + '_emp':' empirical ', + '_ppo':' ', + '_r':' r=0.', + '_g025': ' \gamma=0.5', + '_g050':' \gamma=0.5', + '_g100': ' \gamma=1', + '_l010': ' r_l=0.01', + '_l020': ' r_l=0.02', + '_l050': ' r_l=0.05', + '_n':' window=', + '_long_manager':'', + '_vol':' (min-vol)', + '_quad':' (quadratic)', + '_sharpe':' (Sharpe)', + '_weak':' (weak)', + '_schur':' (Schur)', + '_hrp':' (HRP)', + '_pcov':'', + '_lw':' Ledoit Wolf', + 'lw_':'Ledoit Wolf ', + '_ld': ' Ledoit Wolf', + 'ld_': 'Ledoit Wolf ', + '_oas':' Oracle Approximating', + 'buf':'Buffered ', + 'huber':'Huber', + '_glcv':' Graphical lasso w/ cv', + '_gl':' Graphical lasso', + '_mcd':' min-cov-det', + '_d0':'', + '_ewa':' expon weighted ', + 'ewa_':'Expon weighted ', + '_d1':'', + '_sk':'', + 'scov':' ', + 'pcov':' ', + 'weak':'Weak ', + 'a1':'a=1','a05':'a=0.5', + 'b1':'b=1', + '_b2': 'b=2','_b5': 'b=5', + 'lz':'Lee Zhong', + 'hrp':'HRP', + 'ewa_':'Expon weighted ', + 'run_':'running ', + 'schur':'Schur', + 'ppo':''} + + tbl = Texttable() + tbl.set_cols_align(["l", "l", "c"]) + tbl.set_cols_valign(["t", "m", "b"]) + rows = [['Elo', 'Approach', 'CPU']] + for name, res in leaderboard.most_common(): + for _ in range(2): + for k,v in MANAGER_REPLACEMENTS.items(): + name = name.replace(k,v) + name = name.replace('_',' ') + if isinstance(res,tuple): + elo_rating = round(res[0],ndigits=0) + cpu = round(res[1],ndigits=0) if res[1] is not None else 'N/A' + else: + elo_rating = round(res,ndigits=0) + cpu = 'N/A' + rows.append([elo_rating,name,cpu]) + tbl.add_rows(rows=rows[:max_rows]) + return draw_latex(tbl, caption=caption, label=label) + + +def elo_latex_table(genre, category, max_rows=42): + elo_results = dict( elo_from_win_files(genre=genre, category=category) ) + try: + leaderboard = elo_results[category] + except KeyError: + print(category+' is not in '+genre) + print('Try one of '+str(list(elo_results.keys()))) + raise KeyError + + CATEGORY_REPLACEMENTS = {'_p':' with asset count ', + '_n':' using historical data length '} + + description = category + for _ in range(3): + for k,v in CATEGORY_REPLACEMENTS.items(): + description = description.replace(k,v) + description = genre.replace('_',' ') + ' for ' + description.replace('_',' ') + '.' + description = description[0].upper()+description[1:] + label='tab:'+genre+'_'+category + return leaderboard_to_latex(leaderboard=leaderboard, caption=description, label=label, max_rows=max_rows ) + + +if __name__=='__main__': + ltx = elo_latex_table(genre='manager_var',category='stocks_5_days_p50_n150') + print(ltx) + + + + + + diff --git a/precise/skatervaluation/battleresults/.DS_Store b/precise/skatervaluation/battleresults/.DS_Store new file mode 100644 index 00000000..ff1ec27e Binary files /dev/null and b/precise/skatervaluation/battleresults/.DS_Store differ diff --git a/precise/skatervaluation/battleresults/cov_likelihood/.DS_Store b/precise/skatervaluation/battleresults/cov_likelihood/.DS_Store new file mode 100644 index 00000000..bc338605 Binary files /dev/null and b/precise/skatervaluation/battleresults/cov_likelihood/.DS_Store differ diff --git a/precise/skatervaluation/battleresults/cov_likelihood/m6_daily_p100_n200/5b79538d-ec7f-4f89-9f5f-bc23ee5b21b9.json b/precise/skatervaluation/battleresults/cov_likelihood/m6_daily_p100_n200/5b79538d-ec7f-4f89-9f5f-bc23ee5b21b9.json new file mode 100644 index 00000000..3156bef0 --- /dev/null +++ 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at end of file diff --git a/precise/skatervaluation/battleresults/cov_likelihood/m6_daily_p100_n200_implied/da927311-576a-4f99-b5d3-d44bf26c2ae0.json b/precise/skatervaluation/battleresults/cov_likelihood/m6_daily_p100_n200_implied/da927311-576a-4f99-b5d3-d44bf26c2ae0.json new file mode 100644 index 00000000..3bb612be --- /dev/null +++ b/precise/skatervaluation/battleresults/cov_likelihood/m6_daily_p100_n200_implied/da927311-576a-4f99-b5d3-d44bf26c2ae0.json @@ -0,0 +1 @@ +{"weak_sk_oas_pcov_d0_n100>buf_huber_pcov_d0_a1_b2_n50": 5.0, "weak_sk_oas_pcov_d0_n100>buf_sk_glcv_pcov_d0_n200": 5.0, "weak_sk_oas_pcov_d0_n100>avg_top_weakewa_ewalw_weakpm": 4.0, "weak_sk_oas_pcov_d0_n100>ewa_lz_scov_d0_r005_l010_n100": 5.0, "buf_sk_glcv_pcov_d0_n200>buf_huber_pcov_d0_a1_b2_n50": 2.0, "buf_sk_glcv_pcov_d0_n200>avg_top_weakewa_ewalw_weakpm": 2.0, "buf_sk_glcv_pcov_d0_n200>ewa_lz_scov_d0_r005_l010_n100": 2.0, "avg_top_weakewa_ewalw_weakpm>buf_huber_pcov_d0_a1_b2_n50": 1.0, 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at end of file diff --git a/precise/skatervaluation/battleresults/cov_likelihood/stocks_5_days_p25_n20/de157934-28a3-42f1-aa12-f13a33c22f48.json b/precise/skatervaluation/battleresults/cov_likelihood/stocks_5_days_p25_n20/de157934-28a3-42f1-aa12-f13a33c22f48.json new file mode 100644 index 00000000..ef52353c --- /dev/null +++ b/precise/skatervaluation/battleresults/cov_likelihood/stocks_5_days_p25_n20/de157934-28a3-42f1-aa12-f13a33c22f48.json @@ -0,0 +1 @@ +{"buf_sk_glcv_pcov_d0_n100>ewa_lz_scov_d0_r010_l010_n100": 1.0, "ewa_pm_emp_scov_r01_n200_t0>buf_sk_glcv_pcov_d0_n100": 2.0, "ewa_pm_emp_scov_r01_n200_t0>ewa_lz_scov_d0_r010_l010_n100": 1.0, "buf_sk_oas_pcov_d0_n300>buf_sk_glcv_pcov_d0_n100": 1.0, "buf_sk_oas_pcov_d0_n300>ewa_pm_emp_scov_r01_n200_t0": 2.0, "buf_sk_oas_pcov_d0_n300>ewa_lz_scov_d0_r010_l010_n100": 1.0, "buf_sk_oas_pcov_d0_n300>ewa_pm_emp_scov_r02_n100": 1.0, "ewa_pm_emp_scov_r02_n100>buf_sk_glcv_pcov_d0_n100": 1.0, 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a/precise/skatervaluation/battleresults/example_manager_regressor_frame.csv b/precise/skatervaluation/battleresults/example_manager_regressor_frame.csv new file mode 100644 index 00000000..e2c05795 --- /dev/null +++ b/precise/skatervaluation/battleresults/example_manager_regressor_frame.csv @@ -0,0 +1,154 @@ +r_ord,sk_hot,hrp_hot,weak_hot,h_ord,diag_hot,diagxy_hot,s_ord,d_ord,glcv_hot,quad_hot,equal_hot,ewa_hot,ppo_hot,diagxx_hot,volxy_hot,weakxx_hot,molyboga_hot,schur_hot,n_ord,pm_hot,l_ord,slurp_hot,g_ord,vol_hot,rp_hot,lw_hot,mcd_hot,p_ord,tzero_hot,ldp_hot,volxx_hot,weakxz_hot,weakxy_hot,sharpe_hot,elo +50.0,0.0,0.0,0.0,,0.0,0.0,5.0,,0.0,0.0,0.0,1.0,0.0,0.0,1.0,0.0,0.0,1.0,25.0,0.0,,0.0,50.0,0.0,0.0,0.0,0.0,,0.0,0.0,1.0,0.0,0.0,0.0,1603.7297195060585 +50.0,0.0,0.0,0.0,,0.0,0.0,5.0,,0.0,0.0,0.0,0.0,0.0,0.0,0.0,1.0,0.0,1.0,25.0,1.0,,0.0,0.0,0.0,0.0,0.0,0.0,,1.0,0.0,0.0,0.0,1.0,0.0,1600.8406929729617 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"ppo_sk_mcd_pcov_d0_n100_vol_long_manager>weak_sk_mcd_pcov_d0_n100_long_manager": 1.0} \ No newline at end of file diff --git a/precise/skatervaluation/battlescripts/__init__.py b/precise/skatervaluation/battlescripts/__init__.py new file mode 100644 index 00000000..e69de29b diff --git a/precise/skatervaluation/battlescripts/cov_likelihood/__init__.py b/precise/skatervaluation/battlescripts/cov_likelihood/__init__.py new file mode 100644 index 00000000..e69de29b diff --git a/precise/skatervaluation/battlescripts/manager_info/__init__.py b/precise/skatervaluation/battlescripts/manager_info/__init__.py new file mode 100644 index 00000000..e69de29b diff --git a/precise/skatervaluation/battlescripts/manager_var/__init__.py b/precise/skatervaluation/battlescripts/manager_var/__init__.py new file mode 100644 index 00000000..e69de29b diff --git a/precise/skatervaluation/battlescriptscustom/__init__.py b/precise/skatervaluation/battlescriptscustom/__init__.py new file mode 100644 index 00000000..e69de29b diff --git a/precise/skatervaluation/battlescriptscustom/manager_info/__init__.py b/precise/skatervaluation/battlescriptscustom/manager_info/__init__.py new file mode 100644 index 00000000..e69de29b diff --git a/precise/skatervaluation/battlescriptscustom/manager_info/stocks?topic=stocks&n_dim=int:151&n_obs=int:125&n_burn=int:100&k=int:3.py b/precise/skatervaluation/battlescriptscustom/manager_info/stocks?topic=stocks&n_dim=int:151&n_obs=int:125&n_burn=int:100&k=int:3.py new file mode 100644 index 00000000..f7338bc5 --- /dev/null +++ b/precise/skatervaluation/battlescriptscustom/manager_info/stocks?topic=stocks&n_dim=int:151&n_obs=int:125&n_burn=int:100&k=int:3.py @@ -0,0 +1,12 @@ +from runthis import parse_kwargs +import os +from precise.skatervaluation.managercomparisonutil.managerstats import manager_info + +# Infers params from file name and runs a battle +from precise.skaters.managers.schurmanagers import SCHUR_PM_S5_LONG_MANAGERS +from precise.skaters.managers.hrpmanagers import HRP_LONG_MANAGERS +from precise.skatervaluation.battleutil.arrangingbattles import generic_battle + +if __name__=='__main__': + params = parse_kwargs(__file__.split(os.path.sep)[-1]) + generic_battle(contestants=SCHUR_PM_S5_LONG_MANAGERS+HRP_LONG_MANAGERS, evaluator=manager_info, params=params, atol=1e-8) diff --git a/precise/skatervaluation/battlescriptscustom/manager_info/stocks?topic=stocks&n_dim=int:21&n_obs=int:125&n_burn=int:100&k=int:3.py b/precise/skatervaluation/battlescriptscustom/manager_info/stocks?topic=stocks&n_dim=int:21&n_obs=int:125&n_burn=int:100&k=int:3.py new file mode 100644 index 00000000..f7338bc5 --- /dev/null +++ b/precise/skatervaluation/battlescriptscustom/manager_info/stocks?topic=stocks&n_dim=int:21&n_obs=int:125&n_burn=int:100&k=int:3.py @@ -0,0 +1,12 @@ +from runthis import parse_kwargs +import os +from precise.skatervaluation.managercomparisonutil.managerstats import manager_info + +# Infers params from file name and runs a battle +from precise.skaters.managers.schurmanagers import SCHUR_PM_S5_LONG_MANAGERS +from precise.skaters.managers.hrpmanagers import HRP_LONG_MANAGERS +from precise.skatervaluation.battleutil.arrangingbattles import generic_battle + +if __name__=='__main__': + params = parse_kwargs(__file__.split(os.path.sep)[-1]) + generic_battle(contestants=SCHUR_PM_S5_LONG_MANAGERS+HRP_LONG_MANAGERS, evaluator=manager_info, params=params, atol=1e-8) diff --git a/precise/skatervaluation/battlescriptscustom/manager_info/stocks?topic=stocks&n_dim=int:251&n_obs=int:125&n_burn=int:100&k=int:3.py b/precise/skatervaluation/battlescriptscustom/manager_info/stocks?topic=stocks&n_dim=int:251&n_obs=int:125&n_burn=int:100&k=int:3.py new file mode 100644 index 00000000..f7338bc5 --- /dev/null +++ b/precise/skatervaluation/battlescriptscustom/manager_info/stocks?topic=stocks&n_dim=int:251&n_obs=int:125&n_burn=int:100&k=int:3.py @@ -0,0 +1,12 @@ +from runthis import parse_kwargs +import os +from precise.skatervaluation.managercomparisonutil.managerstats import manager_info + +# Infers params from file name and runs a battle +from precise.skaters.managers.schurmanagers import SCHUR_PM_S5_LONG_MANAGERS +from precise.skaters.managers.hrpmanagers import HRP_LONG_MANAGERS +from precise.skatervaluation.battleutil.arrangingbattles import generic_battle + +if __name__=='__main__': + params = parse_kwargs(__file__.split(os.path.sep)[-1]) + generic_battle(contestants=SCHUR_PM_S5_LONG_MANAGERS+HRP_LONG_MANAGERS, evaluator=manager_info, params=params, atol=1e-8) diff --git a/precise/skatervaluation/battlescriptscustom/manager_info/stocks?topic=stocks&n_dim=int:31&n_obs=int:125&n_burn=int:100&k=int:3.py b/precise/skatervaluation/battlescriptscustom/manager_info/stocks?topic=stocks&n_dim=int:31&n_obs=int:125&n_burn=int:100&k=int:3.py new file mode 100644 index 00000000..f7338bc5 --- /dev/null +++ b/precise/skatervaluation/battlescriptscustom/manager_info/stocks?topic=stocks&n_dim=int:31&n_obs=int:125&n_burn=int:100&k=int:3.py @@ -0,0 +1,12 @@ +from runthis import parse_kwargs +import os +from precise.skatervaluation.managercomparisonutil.managerstats import manager_info + +# Infers params from file name and runs a battle +from precise.skaters.managers.schurmanagers import SCHUR_PM_S5_LONG_MANAGERS +from precise.skaters.managers.hrpmanagers import HRP_LONG_MANAGERS +from precise.skatervaluation.battleutil.arrangingbattles import generic_battle + +if __name__=='__main__': + params = parse_kwargs(__file__.split(os.path.sep)[-1]) + generic_battle(contestants=SCHUR_PM_S5_LONG_MANAGERS+HRP_LONG_MANAGERS, evaluator=manager_info, params=params, atol=1e-8) diff --git a/precise/skatervaluation/battlescriptscustom/manager_info/stocks?topic=stocks&n_dim=int:41&n_obs=int:125&n_burn=int:100&k=int:3.py b/precise/skatervaluation/battlescriptscustom/manager_info/stocks?topic=stocks&n_dim=int:41&n_obs=int:125&n_burn=int:100&k=int:3.py new file mode 100644 index 00000000..f7338bc5 --- /dev/null +++ b/precise/skatervaluation/battlescriptscustom/manager_info/stocks?topic=stocks&n_dim=int:41&n_obs=int:125&n_burn=int:100&k=int:3.py @@ -0,0 +1,12 @@ +from runthis import parse_kwargs +import os +from precise.skatervaluation.managercomparisonutil.managerstats import manager_info + +# Infers params from file name and runs a battle +from precise.skaters.managers.schurmanagers import SCHUR_PM_S5_LONG_MANAGERS +from precise.skaters.managers.hrpmanagers import HRP_LONG_MANAGERS +from precise.skatervaluation.battleutil.arrangingbattles import generic_battle + +if __name__=='__main__': + params = parse_kwargs(__file__.split(os.path.sep)[-1]) + generic_battle(contestants=SCHUR_PM_S5_LONG_MANAGERS+HRP_LONG_MANAGERS, evaluator=manager_info, params=params, atol=1e-8) diff --git a/precise/skatervaluation/battlescriptscustom/manager_info/stocks?topic=stocks&n_dim=int:49&n_obs=int:125&n_burn=int:100&k=int:5.py b/precise/skatervaluation/battlescriptscustom/manager_info/stocks?topic=stocks&n_dim=int:49&n_obs=int:125&n_burn=int:100&k=int:5.py new file mode 100644 index 00000000..f7338bc5 --- /dev/null +++ b/precise/skatervaluation/battlescriptscustom/manager_info/stocks?topic=stocks&n_dim=int:49&n_obs=int:125&n_burn=int:100&k=int:5.py @@ -0,0 +1,12 @@ +from runthis import parse_kwargs +import os +from precise.skatervaluation.managercomparisonutil.managerstats import manager_info + +# Infers params from file name and runs a battle +from precise.skaters.managers.schurmanagers import SCHUR_PM_S5_LONG_MANAGERS +from precise.skaters.managers.hrpmanagers import HRP_LONG_MANAGERS +from precise.skatervaluation.battleutil.arrangingbattles import generic_battle + +if __name__=='__main__': + params = parse_kwargs(__file__.split(os.path.sep)[-1]) + generic_battle(contestants=SCHUR_PM_S5_LONG_MANAGERS+HRP_LONG_MANAGERS, evaluator=manager_info, params=params, atol=1e-8) diff --git a/precise/skatervaluation/battlescriptscustom/manager_info/stocks?topic=stocks&n_dim=int:501&n_obs=int:125&n_burn=int:100&k=int:3.py b/precise/skatervaluation/battlescriptscustom/manager_info/stocks?topic=stocks&n_dim=int:501&n_obs=int:125&n_burn=int:100&k=int:3.py new file mode 100644 index 00000000..f7338bc5 --- /dev/null +++ b/precise/skatervaluation/battlescriptscustom/manager_info/stocks?topic=stocks&n_dim=int:501&n_obs=int:125&n_burn=int:100&k=int:3.py @@ -0,0 +1,12 @@ +from runthis import parse_kwargs +import os +from precise.skatervaluation.managercomparisonutil.managerstats import manager_info + +# Infers params from file name and runs a battle +from precise.skaters.managers.schurmanagers import SCHUR_PM_S5_LONG_MANAGERS +from precise.skaters.managers.hrpmanagers import HRP_LONG_MANAGERS +from precise.skatervaluation.battleutil.arrangingbattles import generic_battle + +if __name__=='__main__': + params = parse_kwargs(__file__.split(os.path.sep)[-1]) + generic_battle(contestants=SCHUR_PM_S5_LONG_MANAGERS+HRP_LONG_MANAGERS, evaluator=manager_info, params=params, atol=1e-8) diff --git a/precise/skatervaluation/battlescriptscustom/manager_info/stocks?topic=stocks&n_dim=int:51&n_obs=int:125&n_burn=int:100&k=int:3.py b/precise/skatervaluation/battlescriptscustom/manager_info/stocks?topic=stocks&n_dim=int:51&n_obs=int:125&n_burn=int:100&k=int:3.py new file mode 100644 index 00000000..f7338bc5 --- /dev/null +++ b/precise/skatervaluation/battlescriptscustom/manager_info/stocks?topic=stocks&n_dim=int:51&n_obs=int:125&n_burn=int:100&k=int:3.py @@ -0,0 +1,12 @@ +from runthis import parse_kwargs +import os +from precise.skatervaluation.managercomparisonutil.managerstats import manager_info + +# Infers params from file name and runs a battle +from precise.skaters.managers.schurmanagers import SCHUR_PM_S5_LONG_MANAGERS +from precise.skaters.managers.hrpmanagers import HRP_LONG_MANAGERS +from precise.skatervaluation.battleutil.arrangingbattles import generic_battle + +if __name__=='__main__': + params = parse_kwargs(__file__.split(os.path.sep)[-1]) + generic_battle(contestants=SCHUR_PM_S5_LONG_MANAGERS+HRP_LONG_MANAGERS, evaluator=manager_info, params=params, atol=1e-8) diff --git a/precise/skatervaluation/battlescriptscustom/manager_info/stocks?topic=stocks&n_dim=int:61&n_obs=int:125&n_burn=int:100&k=int:3.py b/precise/skatervaluation/battlescriptscustom/manager_info/stocks?topic=stocks&n_dim=int:61&n_obs=int:125&n_burn=int:100&k=int:3.py new file mode 100644 index 00000000..f7338bc5 --- /dev/null +++ b/precise/skatervaluation/battlescriptscustom/manager_info/stocks?topic=stocks&n_dim=int:61&n_obs=int:125&n_burn=int:100&k=int:3.py @@ -0,0 +1,12 @@ +from runthis import parse_kwargs +import os +from precise.skatervaluation.managercomparisonutil.managerstats import manager_info + +# Infers params from file name and runs a battle +from precise.skaters.managers.schurmanagers import SCHUR_PM_S5_LONG_MANAGERS +from precise.skaters.managers.hrpmanagers import HRP_LONG_MANAGERS +from precise.skatervaluation.battleutil.arrangingbattles import generic_battle + +if __name__=='__main__': + params = parse_kwargs(__file__.split(os.path.sep)[-1]) + generic_battle(contestants=SCHUR_PM_S5_LONG_MANAGERS+HRP_LONG_MANAGERS, evaluator=manager_info, params=params, atol=1e-8) diff --git a/precise/skatervaluation/battlescriptscustom/manager_info/stocks?topic=stocks&n_dim=int:9&n_obs=int:125&n_burn=int:100&k=int:5.py b/precise/skatervaluation/battlescriptscustom/manager_info/stocks?topic=stocks&n_dim=int:9&n_obs=int:125&n_burn=int:100&k=int:5.py new file mode 100644 index 00000000..f7338bc5 --- /dev/null +++ b/precise/skatervaluation/battlescriptscustom/manager_info/stocks?topic=stocks&n_dim=int:9&n_obs=int:125&n_burn=int:100&k=int:5.py @@ -0,0 +1,12 @@ +from runthis import parse_kwargs +import os +from precise.skatervaluation.managercomparisonutil.managerstats import manager_info + +# Infers params from file name and runs a battle +from precise.skaters.managers.schurmanagers import SCHUR_PM_S5_LONG_MANAGERS +from precise.skaters.managers.hrpmanagers import HRP_LONG_MANAGERS +from precise.skatervaluation.battleutil.arrangingbattles import generic_battle + +if __name__=='__main__': + params = parse_kwargs(__file__.split(os.path.sep)[-1]) + generic_battle(contestants=SCHUR_PM_S5_LONG_MANAGERS+HRP_LONG_MANAGERS, evaluator=manager_info, params=params, atol=1e-8) diff --git a/precise/skatervaluation/battlescriptscustom/manager_info/stocks?topic=stocks&n_dim=int:99&n_obs=int:125&n_burn=int:100&k=int:1.py b/precise/skatervaluation/battlescriptscustom/manager_info/stocks?topic=stocks&n_dim=int:99&n_obs=int:125&n_burn=int:100&k=int:1.py new file mode 100644 index 00000000..f7338bc5 --- /dev/null +++ b/precise/skatervaluation/battlescriptscustom/manager_info/stocks?topic=stocks&n_dim=int:99&n_obs=int:125&n_burn=int:100&k=int:1.py @@ -0,0 +1,12 @@ +from runthis import parse_kwargs +import os +from precise.skatervaluation.managercomparisonutil.managerstats import manager_info + +# Infers params from file name and runs a battle +from precise.skaters.managers.schurmanagers import SCHUR_PM_S5_LONG_MANAGERS +from precise.skaters.managers.hrpmanagers import HRP_LONG_MANAGERS +from precise.skatervaluation.battleutil.arrangingbattles import generic_battle + +if __name__=='__main__': + params = parse_kwargs(__file__.split(os.path.sep)[-1]) + generic_battle(contestants=SCHUR_PM_S5_LONG_MANAGERS+HRP_LONG_MANAGERS, evaluator=manager_info, params=params, atol=1e-8) diff --git a/precise/skatervaluation/battlescriptscustom/manager_info/stocks?topic=stocks&n_dim=int:99&n_obs=int:125&n_burn=int:100&k=int:5.py b/precise/skatervaluation/battlescriptscustom/manager_info/stocks?topic=stocks&n_dim=int:99&n_obs=int:125&n_burn=int:100&k=int:5.py new file mode 100644 index 00000000..f7338bc5 --- /dev/null +++ b/precise/skatervaluation/battlescriptscustom/manager_info/stocks?topic=stocks&n_dim=int:99&n_obs=int:125&n_burn=int:100&k=int:5.py @@ -0,0 +1,12 @@ +from runthis import parse_kwargs +import os +from precise.skatervaluation.managercomparisonutil.managerstats import manager_info + +# Infers params from file name and runs a battle +from precise.skaters.managers.schurmanagers import SCHUR_PM_S5_LONG_MANAGERS +from precise.skaters.managers.hrpmanagers import HRP_LONG_MANAGERS +from precise.skatervaluation.battleutil.arrangingbattles import generic_battle + +if __name__=='__main__': + params = parse_kwargs(__file__.split(os.path.sep)[-1]) + generic_battle(contestants=SCHUR_PM_S5_LONG_MANAGERS+HRP_LONG_MANAGERS, evaluator=manager_info, params=params, atol=1e-8) diff --git a/precise/skatervaluation/battleutil/__init__.py b/precise/skatervaluation/battleutil/__init__.py new file mode 100644 index 00000000..e69de29b diff --git a/precise/skatervaluation/battleutil/arrangingbattles.py b/precise/skatervaluation/battleutil/arrangingbattles.py new file mode 100644 index 00000000..0b42acf0 --- /dev/null +++ b/precise/skatervaluation/battleutil/arrangingbattles.py @@ -0,0 +1,149 @@ +from precise.skaters.covariance.allcovskaters import ALL_D0_SKATERS +from precise.skaters.managers.allmanagers import RELIABLE_LONG_MANAGERS +from precise.skaters.covarianceutil.likelihood import cov_likelihood +from precise.skatervaluation.managercomparisonutil.managerstats import manager_info, manager_var +from precise.skatervaluation.battledata.allsources import params_category_and_data +from uuid import uuid4 +import os +import json +import pathlib +from pprint import pprint +import traceback +from collections import Counter +from momentum.functions import rvar +from precise.whereami import BATTLE_RESULTS_DIR +import numpy as np +import time + + +def manager_info_battle(params:dict): + return generic_battle(contestants=RELIABLE_LONG_MANAGERS, evaluator=manager_info, params=params, atol=1e-8) + + +def manager_var_battle(params:dict): + return generic_battle(contestants=RELIABLE_LONG_MANAGERS, evaluator=manager_var, params=params, atol=1e-8) + + +def cov_likelihood_battle(params:dict): + contestants = ALL_D0_SKATERS + return generic_battle(contestants=contestants, evaluator=cov_likelihood, params=params, atol=1.0) + + +def generic_battle(contestants, evaluator, params:dict, atol=1.0): + """ + Write results to a new queue. + evaluator(contestant=contestant, xs=xs, n_burn=params['n_burn'], with_metrics=True, lb=lb, ub=ub) + """ + evaluator_name = evaluator.__name__ + n_per_battle = 7 + try: + params, category, xs_test = params_category_and_data(params=params) + except Exception as e: + print(e) + pprint(params) + print('Something is probably wrong with params for getting data, so this config will not fly') + params, category, xs_test = params_category_and_data(params=params) + + print('Data retrieval test passed for category '+category) + pprint(params) + time.sleep(1) + print('Will test the following contestants') + pprint(contestants) + + qn = str(uuid4())+'.json' + queue_dir = os.path.join(BATTLE_RESULTS_DIR, evaluator_name, category) + queue = os.path.join(queue_dir,qn) + pathlib.Path(queue_dir).mkdir(parents=True, exist_ok=True) + print(queue) + + battles = Counter() + timing = dict() + reliability = dict() + failures = dict() + + worst_assessment_seen = 10000000 + lb = params['lb'] + ub = params['ub'] + + while True: + n_obs = params['n_obs'] + params, category, xs = params_category_and_data(params=params) + assert len(xs)==n_obs + xs = np.array(xs) + np.random.shuffle(contestants) + some_contestants = contestants[:n_per_battle] + + stuff = list() + for contestant in some_contestants: + try: + if 'manager' in contestant.__name__ or True: + print(' '+contestant.__name__) + assessment, metrics = evaluator(contestant=contestant, xs=xs, n_burn=params['n_burn'], lb=lb, ub=ub) + metrics['name']=contestant.__name__ + metrics['traceback']='' + metrics['passing']=1 + if assessment0.5 ] + + if len(valid)<=2: + print('Less than 2 working contestants this time around: ') + pprint(some_contestants) + for contestant in some_contestants: + pprint(failures.get(contestant.__name__)) + print('Urgh') + + for i, mi in enumerate(valid): + for j, mj in enumerate(valid): + if j != i: + if mi[0] > mj[0]+atol: + i_name = mi[1]['name'] + j_name = mj[1]['name'] + cmp_name = i_name+'>'+j_name + battles.update({cmp_name:1.0}) + + reliabilties = dict([(nm, reliab['mean']) for nm,reliab in reliability.items() ] ) + cpu_times = dict([(nm, tm['mean']) for nm, tm in timing.items()]) + + if np.random.rand()<1: + with open(queue,'wt') as fh: + print('Saving') + json.dump(battles,fh) + print('---') + pprint(reliabilties) + print('---') + pprint(battles) + print(' ') + pprint(failures) + print('---') + pprint(cpu_times) + time.sleep(10) + + + + + + + + + + + + + diff --git a/precise/skatervaluation/battleutil/battleio.py b/precise/skatervaluation/battleutil/battleio.py new file mode 100644 index 00000000..061a48c0 --- /dev/null +++ b/precise/skatervaluation/battleutil/battleio.py @@ -0,0 +1,48 @@ +from precise.whereami import BATTLE_RESULTS_DIR +from glob import glob +import json +from collections import Counter +import os + +# Retrieving collections of battles + + +def win_dirs(genre='cov_likelihood', category=None): + all_dirs = [ d[:-1] for d in glob(BATTLE_RESULTS_DIR + os.path.sep + genre + "/*/", recursive = False) ] + if category is None: + return all_dirs + else: + return [d for d in all_dirs if category in d] + + + +def win_data(genre='cov_likelihood', category=None): + """ + :return: [ ( category, counter ) ] + """ + return [(category, load_win_data(cat_files)) for (category,cat_files) in win_files(genre=genre, category=category)] + + +def win_files(genre='likelihood', category=None): + return [(wd.split('/')[-1], glob(wd+"/*.json")) for wd in win_dirs(genre=genre, category=category)] + + +def load_win_data(cat_files): + data = Counter() + for fn in cat_files: + with open(fn,'rt') as fh: + try: + new_data = Counter(json.load(fh)) + data.update(new_data) + except json.decoder.JSONDecodeError: + print('Issue with '+fn) + print('huh') + + return data + + + +if __name__=='__main__': + wd = win_data(genre='likelihood') + print([c for c,_ in win_data()]) + diff --git a/precise/skatervaluation/battleutil/compilingeloratings.py b/precise/skatervaluation/battleutil/compilingeloratings.py new file mode 100644 index 00000000..297ca458 --- /dev/null +++ b/precise/skatervaluation/battleutil/compilingeloratings.py @@ -0,0 +1,140 @@ + +from pprint import pprint +from precise.skatervaluation.battleutil.battleio import win_data +from precise.skatervaluation.battleutil.eloformulas import elo_change +from collections import Counter +import random +from precise.skatervaluation.battleutil.speed import TIMING +from collections import OrderedDict +import pandas as pd +from precise.whereami import ELO_CSV +# Creating Elo ratings from collections of wins and losses stored in hashed files /battleresults + +GENRES = ['manager_var','manager_info','cov_likelihood'] +ELO_URL = 'https://raw.githubusercontent.com/microprediction/precise/main/precise/skatervaluation/battleresults/elo.csv' + +ELO_LIMIT = 50000 + + +def get_elo(genre): + """ Retrieve cached Elo ratings """ + url = ELO_URL.replace('elo','elo_'+genre) + df = pd.read_csv(url) + return df + + +def create_elo_csvs(k=10): + """ Clobber the elo_***.csv files """ + print(ELO_CSV) + for genre in GENRES: + fn = ELO_CSV.replace('elo', 'elo_' + genre) + print(fn) + df = elo_df(genre=genre, category=None, k=k) + df.to_csv(fn, index=False) + + +def elo_df(genre='manager_info', category='stocks',k=10): + """ Elo ratings in a dataframe + :param genre: 'cov_likelihood' + :param category: + :return: + """ + ratings = elo_from_win_files(genre=genre, category=category, k=k) + elo_tuples = list() + for r in ratings: + cat = r[0] + for strat, strat_stats in r[1].items(): + got_it = False + try: + elo_ = strat_stats[0] + try: + cpu_ = round(float(strat_stats[1]),1) + except: + cpu_ = -1 + got_it=True + except: + try: + elo_ = float(strat_stats) + cpu_ = -1 + got_it = True + except: + got_it = False + if got_it: + _tup = (genre,cat,strat, elo_, cpu_) + elo_tuples.append(_tup) + + df = pd.DataFrame(columns=['genre','category','strategy','elo','cpu'], data=elo_tuples) + return df + + + + +def elo_from_win_files(genre='cov_likelihood', category=None, k=10): + """ + :return: Elo ratings for all categories + """ + # MAYBETODO: It would be easy to make this // across categories but not a high priority :) + return [(cat, elo_from_win_counts(cat_data, timing_genre=genre, k=k)) for cat, cat_data in win_data(genre=genre, category=category)] + + + +def elo_from_win_counts(ctn, timing_genre=None, k=10): + """ + Elo ratings from a counter or dict of match results + + Each key is a string of the form: + + someone>someoneelse + + indicating a win of someone over someone else. Values are the number of occasions on + which the result eventuated. + + Matches are sampled in random ordering, so the Elo ratings will be different each + time this script is run. + + There is no temporality. When older battle results files become irrelevant they + should simply be deleted + + :param k Elo speed parameters + + """ + contestants = list(set( [ k.split('>')[0] for k in ctn.keys() ] + [ k.split('>')[1] for k in ctn.keys() ])) + elo = Counter( dict([ (c,1500) for c in contestants ])) + finished = False + import time + st = time.time() + ct = 0 + n_limit = ELO_LIMIT + n_count = 0 + while not finished: + n_count += 1 + + remaining_counts = [ c for b,c in ctn.items() if c>=1 ] + remaining_battles = [ (b,c) for b,c in ctn.items() if c>=1 ] + weights = [ c/sum(remaining_counts) for c in remaining_counts ] + finished = (not remaining_battles) or (n_count>n_limit) + if not finished: + n_remaining = sum(remaining_counts) + if n_remaining % 100 ==0: + print(' '+str(n_remaining)+' remaining') + cts = time.time() + random_battle = random.choices(population=remaining_battles, weights=weights,k=1)[0] + ct += time.time()-cts + winner, loser = random_battle[0].split('>') + winner_change, loser_change = elo_change(elo[winner],elo[loser],points=1.0, k=k) + ctn[random_battle[0]] -= 1 + elo[winner] += winner_change + elo[loser] += loser_change + pprint({'total time':time.time()-st,'choice time':ct}) + if timing_genre is not None: + contestant_timing = TIMING.get(timing_genre) + if contestant_timing is not None: + with_timing = sorted( [ (contestant,(score,contestant_timing.get(contestant))) for contestant, score in elo.items()], key= lambda x: x[1][0], reverse=True) + elo = OrderedDict(with_timing) + return elo + + +if __name__=='__main__': + category_sub_string = 'stocks_20_days' # e.g. m6_daily_p100 + ratings = elo_df(genre='manager_var', category=category_sub_string) + pprint(ratings) \ No newline at end of file diff --git a/precise/skatervaluation/battleutil/createelocsv.py b/precise/skatervaluation/battleutil/createelocsv.py new file mode 100644 index 00000000..0eae8706 --- /dev/null +++ b/precise/skatervaluation/battleutil/createelocsv.py @@ -0,0 +1,4 @@ +from precise.skatervaluation.battleutil.compilingeloratings import create_elo_csvs + +if __name__=='__main__': + create_elo_csvs() \ No newline at end of file diff --git a/precise/skatervaluation/battleutil/datasources.py b/precise/skatervaluation/battleutil/datasources.py new file mode 100644 index 00000000..139597f9 --- /dev/null +++ b/precise/skatervaluation/battleutil/datasources.py @@ -0,0 +1,2 @@ + + diff --git a/precise/skatervaluation/battleutil/eloformulas.py b/precise/skatervaluation/battleutil/eloformulas.py new file mode 100644 index 00000000..a228c7f7 --- /dev/null +++ b/precise/skatervaluation/battleutil/eloformulas.py @@ -0,0 +1,30 @@ + +# TODO: Move into ratings package to remove this dependency + +def elo_expected(d :float ,f :float =400 )->float: + """ Expected points scored in a match by White player + :param d: Difference in rating (Black minus White) + :param f: "F"-Factor + :return: + """ + if d/ f > 8: + return 0.0 + elif d / f < -8: + return 1.0 + else: + return 1. / (1 + 10 ** (d / f)) + + +def elo_change(white_elo, black_elo, points, k=25, f=400): + """ + :param white_elo: + :param black_elo: + :param points: 1 if White wins, 0 if Black wins + :param k: K-Factor, how much to update + :param f: F-Factor + :return: + """ + d = black_elo - white_elo + expected_points = elo_expected(d=d, f=f) + w = points - expected_points + return k*w, -k*w \ No newline at end of file diff --git a/precise/skatervaluation/battleutil/exampleelos.py b/precise/skatervaluation/battleutil/exampleelos.py new file mode 100644 index 00000000..2f38cc8f --- /dev/null +++ b/precise/skatervaluation/battleutil/exampleelos.py @@ -0,0 +1,274 @@ +# For testing +EXAMPLE_MANAGER_ELOS = [('schur_vol_vol_ewa_r050_n25_s5_g050_long_manager', + (1603.7297195060585, None)), + ('schur_weak_weak_pm_t0_r050_n25_s5_g000_long_manager', + (1600.8406929729617, None)), + ('schur_weak_weak_pm_t0_r025_n50_s5_g100_long_manager', + (1599.369350006955, None)), + ('schur_weak_weak_ewa_r050_n25_s5_g010_long_manager', + (1599.0661492833633, None)), + ('rp_ewa_r05_p0_long_manager', (1596.3373833978706, None)), + ('schur_weak_vol_ewa_r050_n25_s5_g100_long_manager', + (1594.930109646238, None)), + ('ppo_ewa_d0_r025_n50_vol_long_manager', + (1592.7100151772393, None)), + ('hrp_weak_vol_ewa_r025_n50_s50_long_manager', + (1592.5667006894428, None)), + ('schur_weak_weak_ewa_r050_n25_s5_g000_long_manager', + (1591.9705027103919, None)), + ('schur_weak_vol_ewa_r050_n25_s5_g050_long_manager', + (1590.106223700346, None)), + ('schur_weak_weak_ewa_r050_n25_s5_g100_long_manager', + (1589.65347072206, None)), + ('molyboga_r025_n50_long_manager', (1589.235020220747, None)), + ('schur_weak_weak_ewa_r025_n50_s5_g100_long_manager', + (1585.0042343819182, None)), + ('rp_ewa_r05_p60_long_manager', (1582.0085501511626, None)), + ('schur_weak_vol_ewa_r050_n25_s5_g000_long_manager', + (1580.4753228404468, None)), + ('schur_weak_weak_ewa_r050_n25_s25_g100_h150_long_manager', + (1579.1762716546548, None)), + ('schur_vol_vol_ewa_r050_n25_s5_g010_long_manager', + (1575.9150616540876, None)), + ('schur_weak_weak_ewa_r025_n50_s5_g010_long_manager', + (1573.9010159333845, None)), + ('schur_diag_weak_pm_t0_r050_n25_s5_g010_l21_long_manager', + (1570.7455778982433, None)), + ('schur_weak_weak_pm_t0_r025_n50_s100_g100_h500_long_manager', + (1568.8164020519625, None)), + ('rp_ewa_r02_p80_long_manager', (1565.9793093542116, None)), + ('schur_weak_weak_ewa_r050_n25_s25_g100_h500_long_manager', + (1565.6877907861217, None)), + ('schur_weak_vol_ewa_r050_n25_s5_g010_long_manager', + (1565.1739624987015, None)), + ('schur_weak_weak_pm_t0_r025_n50_s5_g050_long_manager', + (1560.6438914721064, None)), + ('schur_weak_weak_ewa_r050_n25_s5_g050_long_manager', + (1560.577551037039, None)), + ('rp_ewa_r01_p60_long_manager', (1560.2173987797178, None)), + ('slurp_vol_r025_s5_p20_g100_long_manager', + (1559.2289300226655, None)), + ('rp_ewa_r05_p20_long_manager', (1556.990107646616, None)), + ('schur_weak_weak_pm_t0_r050_n25_s100_g100_h500_long_manager', + (1553.8045522314446, None)), + ('slurp_vol_r001_s25_p20_g100_long_manger', + (1553.4783588612092, None)), + ('hrp_vol_vol_pm_t0_d0_r025_n50_s5_long_manager', + (1553.4013078622518, None)), + ('schur_weak_weak_pm_t0_r050_n25_s25_g100_h500_long_manager', + (1550.8775582156472, None)), + ('rp_ewa_r02_p20_long_manager', (1550.303028550498, None)), + ('schur_weak_weak_ewa_r050_n25_s100_g100_h500_long_manager', + (1549.7777251993728, None)), + ('molyboga_r025_s25_gamma000_long_manager', + (1548.1560831583809, None)), + ('schur_weak_weak_pm_t0_r025_n50_s5_g000_long_manager', + (1548.0304881518277, None)), + ('schur_weak_weak_pm_t0_r025_n50_s5_g010_long_manager', + (1547.937758538328, None)), + ('schur_weak_weak_ewa_r050_n25_s25_g100_h125_long_manager', + (1547.8599560241548, None)), + ('schur_weak_weak_pm_t0_r025_n50_s25_g100_h125_long_manager', + (1547.7871298838559, None)), + ('schur_weak_weak_ewa_r025_n50_s25_g100_h125_long_manager', + (1544.260587360124, None)), + ('schur_vol_vol_ewa_r050_n25_s5_g000_long_manager', + (1542.7553567689206, None)), + ('rp_ewa_r01_p20_l21_long_manager', (1542.4304811804334, None)), + ('rp_ewa_r05_p61_long_manager', (1541.8476100699693, None)), + ('schur_weak_weak_ewa_r025_n50_s5_g050_long_manager', + (1541.63255250041, None)), + ('rp_ewa_r02_p60_long_manager', (1541.2829630559143, None)), + ('schur_weak_weak_ewa_r025_n50_s5_g000_long_manager', + (1540.2724440022268, None)), + ('ppo_sk_lw_pcov_d1_n100_vol_long_manager', + (1536.3351845887885, None)), + ('molyboga_r025_s25_gamma100_long_manager', + (1535.9498863670724, None)), + ('weak_pm_t0_d0_r025_n50_h500_long_manager', + (1533.0690946820262, None)), + ('rp_ewa_r02_p40_long_manager', (1530.2446069216392, None)), + ('schur_weak_weak_pm_t0_r025_n50_s25_g100_h500_long_manager', + (1529.1963937631199, None)), + ('schur_weak_weak_pm_t0_r025_n50_s25_g100_h150_long_manager', + (1526.4079111989652, None)), + ('schur_weak_weak_ewa_r025_n50_s100_g100_h500_long_manager', + (1523.0108623997928, None)), + ('ppo_sk_glcv_pcov_d0_n100_sharpe_long_manager', + (1522.1750539391119, 1222.945114850998)), + ('schur_weak_weak_ewa_r025_n50_s25_g100_h500_long_manager', + (1521.9226394598372, None)), + ('ppo_sk_mcd_pcov_d0_n100_sharpe_long_manager', + (1520.3022979460268, 39.70094704627991)), + ('schur_weak_vol_ewa_r001_n200_s50_g100_l20_long_manager', + (1518.8008004163958, None)), + ('weak_pm_t0_d0_r050_n50_h500_long_manager', + (1516.5882404677793, None)), + ('schur_weak_weak_pm_t0_r050_n25_s25_g100_h125_long_manager', + (1515.7218729951433, None)), + ('slurp_vol_r025_s25_p20_g000_long_manager', + (1514.9559591465193, None)), + ('molyboga_r025_s5_gamma000_long_manager', + (1512.9494518493163, None)), + ('rp_weak_pm_t0_p40_l21_long_manager', + (1511.9745726722713, None)), + ('ppo_sk_glcv_pcov_d0_n100_t0_vol_long_manager', + (1510.8165481325102, 708.6874990463257)), + ('schur_vol_vol_pm_t0_d0_r025_n50_s25_g100_long_manager', + (1510.3981709405177, None)), + ('rp_ewa_r01_p59_long_manager', (1509.7242736429776, None)), + ('rp_ewa_r01_p80_long_manager', (1508.90171999332, None)), + ('rp_ewa_r01_p40_l20_long_manager', (1508.3691867192697, None)), + ('ppo_sk_mcd_pcov_d0_n100_quad_long_manager', + (1507.8241574505146, 49.152095317840576)), + ('hrp_weak_vol_ewa_r025_n50_s50_l10_long_manager', + (1506.91729196244, None)), + ('rp_ewa_r01_p0_long_manager', (1505.430355774904, None)), + ('schur_weak_weak_pm_t0_r050_n25_s25_g100_h150_long_manager', + (1501.7683980640984, None)), + ('ppo_sk_lw_pcov_d0_n100_sharpe_long_manager', + (1501.059852102078, None)), + ('rp_ewa_r01_p40_l21_long_manager', (1499.9577039735195, None)), + ('weak_ewa_t0_d0_r050_n50_h500_long_manager', + (1497.4774466707165, None)), + ('ppo_pm_t0_d0_r025_n50_sharpe_long_manager', + (1495.8049466204218, 39.30381226539612)), + ('schur_weak_weak_ewa_r025_n50_s25_g100_h150_long_manager', + (1494.5834739141321, None)), + ('equal_long_manager', (1494.1122405475735, None)), + ('schur_weak_weak_pm_t0_r050_n25_s5_g050_long_manager', + (1493.045622214821, None)), + ('slurp_vol_r001_s25_p20_g000_long_manger', + (1492.788775384805, None)), + ('hrp_weak_weak_pm_t0_d0_r025_n50_s5_long_manager', + (1492.1445387529523, None)), + ('schur_vol_vol_ewa_r050_n25_s5_g100_long_manager', + (1491.5299553309576, None)), + ('rp_ewa_r02_p0_long_manager', (1491.1642541500867, None)), + ('slurp_vol_r025_s100_p20_g000_long_manager', + (1490.6093109062822, None)), + ('weak_ewa_t0_d0_r025_n50_long_manager', + (1490.0746714419274, 37.15584444999695)), + ('rp_ewa_r01_p61_long_manager', (1489.8537415440644, None)), + ('weak_pm_t0_d0_r050_n50_h125_long_manager', + (1489.5945068706042, None)), + ('molyboga_r025_n50_s100_long_manager', + (1489.1469325855826, None)), + ('schur_diag_diag_ewa_r050_n25_s5_g100_long_manager', + (1488.6416093964, None)), + ('schur_weak_weak_pm_t0_r050_n25_s5_g010_long_manager', + (1487.4081050680547, None)), + ('ppo_sk_glcv_pcov_d0_n100_vol_long_manager', + (1486.9624424693975, 372.40891790390015)), + ('schur_diag_weak_pm_t0_r050_n25_s5_g000_long_manager', + (1486.709593583904, None)), + ('equal_check_long_manager', (1486.481536896077, None)), + ('ppo_sk_glcv_pcov_d0_n100_t0_sharpe_long_manager', + (1484.868794783575, 522.7344714403152)), + ('weak_sk_lw_pcov_d0_n100_long_manager', + (1484.8170414029555, None)), + ('molyboga_r025_n50_s25_long_manager', + (1484.5326150292772, None)), + ('rp_ewa_r05_p40_long_manager', (1482.9978369581138, None)), + ('molyboga_r001_n100_long_manger', (1482.1281391901557, None)), + ('slurp_vol_r001_s100_p20_g000_long_manger', + (1481.6229566246582, None)), + ('rp_weak_pm_t0_r01_p40_l20_long_manager', + (1479.882738061665, None)), + ('schur_diag_weak_pm_t0_r050_n25_s5_g010_long_manager', + (1478.6875652668302, None)), + ('schur_weak_vol_ewa_r001_n200_s50_g100_l21_long_manager', + (1477.6652103947195, None)), + ('weak_ewa_t0_d0_r025_n50_h125_long_manager', + (1476.7945931764375, None)), + ('schur_vol_vol_pm_t0_d0_r025_n50_s50_g100_long_manager', + (1475.3065920527365, None)), + ('molyboga_r001_s100_gamma100_long_manger', + (1473.1396044319602, None)), + ('molyboga_r001_n100_s100_long_manger', + (1472.2043696484566, None)), + ('slurp_vol_r001_s100_p20_g100_long_manger', + (1471.5452316170245, None)), + ('ldp_s25_n50_long_manager', (1469.1394626928136, None)), + ('schur_diag_weak_pm_t0_r050_n25_s5_g050_long_manager', + (1469.1020406050443, None)), + ('ppo_sk_mcd_pcov_d0_n100_vol_long_manager', + (1468.9221642587381, 230.10923790931702)), + ('rp_ewa_r01_p40_long_manager', (1468.6861558208084, None)), + ('weak_ewa_t0_d0_r025_n50_h500_long_manager', + (1467.546168775907, None)), + ('schur_weak_weak_pm_t0_r050_n25_s5_g100_long_manager', + (1465.8401634436182, None)), + ('schur_vol_vol_pm_t0_d0_r025_n50_s5_g100_long_manager', + (1464.950881790425, None)), + ('schur_diag_weak_pm_t0_r050_n25_s5_g100_long_manager', + (1464.4171853592645, None)), + ('weak_pm_t0_d0_r025_n50_long_manager', + (1463.7147664190684, None)), + ('ppo_sk_glcv_pcov_d0_n100_t0_quad_long_manager', + (1463.4279811901185, 556.1878499190012)), + ('ppo_ewa_d0_r025_n50_quad_long_manager', + (1462.2377954505116, 71.01052606105804)), + ('weak_sk_glcv_pcov_d0_n100_t0_long_manager', + (1461.8861132689085, 297.68794572353363)), + ('weak_sk_mcd_pcov_d0_n100_long_manager', + (1460.6887891771842, 123.25749707221985)), + ('rp_ewa_r01_p20_l20_long_manager', (1457.8476251835218, None)), + ('weak_ewa_t0_d0_r050_n50_long_manager', + (1457.838448805113, 39.41439235210419)), + ('ppo_sk_lw_pcov_d0_n100_quad_long_manager', + (1456.902899199652, None)), + ('rp_ewa_r05_p80_long_manager', (1456.607741111099, None)), + ('weak_sk_glcv_pcov_d0_n100_long_manager', + (1453.3099627302813, 570.7869900465012)), + ('molyboga_r001_s25_gamma000_long_manger', + (1451.840156056914, None)), + ('ldp_s5_n100_long_manager', (1451.6108297672051, None)), + ('weak_pm_t0_d0_r025_n50_h125_long_manager', + (1451.3575463090363, None)), + ('rp_ewa_r02_p59_long_manager', (1451.2217468742474, None)), + ('hrp_vol_vol_pm_t0_d0_r025_n50_s50_long_manager', + (1450.0776895668043, None)), + ('slurp_vol_r001_s5_p20_g100_long_manger', + (1449.994499244418, None)), + ('slurp_vol_r001_s5_p20_g000_long_manger', + (1448.6860497250084, None)), + ('ppo_pm_t0_d0_r025_n50_vol_long_manager', + (1446.2907221960845, 23.043459335962932)), + ('ldp_s5_n50_long_manager', (1445.3501748770016, None)), + ('molyboga_r001_s100_gamma000_long_manger', + (1445.3377741904212, None)), + ('schur_diag_weak_pm_t0_r050_n25_s5_g010_l11_long_manager', + (1445.111912386923, None)), + ('rp_ewa_r02_p61_long_manager', (1443.3815977717209, None)), + ('slurp_vol_r025_s5_p20_g000_long_manager', + (1441.6915729006578, None)), + ('slurp_vol_r025_s100_p20_g100_long_manager', + (1437.5450847605046, None)), + ('rp_ewa_r01_p20_long_manager', (1436.1383145129896, None)), + ('ppo_sk_glcv_pcov_d0_n100_quad_long_manager', + (1435.1197514800215, 585.8880656957626)), + ('molyboga_r001_s5_gamma100_long_manger', + (1433.665986529887, None)), + ('molyboga_r025_s100_gamma100_long_manager', + (1419.6209394119057, None)), + ('weak_pm_t0_d0_r050_n50_long_manager', + (1419.087923084258, 34.10416221618652)), + ('slurp_vol_r025_s25_p20_g100_long_manager', + (1417.4153281087251, None)), + ('molyboga_r025_s5_gamma100_long_manager', + (1416.5840473887563, None)), + ('rp_ewa_r05_p59_long_manager', (1410.8069005574137, None)), + ('ppo_ewa_d0_r025_n50_sharpe_long_manager', + (1410.7809958637106, 75.59677314758301)), + ('molyboga_r025_s100_gamma000_long_manager', + (1403.322707369863, None)), + ('molyboga_r001_s5_gamma000_long_manger', + (1402.9976227275536, None)), + ('ldp_s25_n100_long_manager', (1396.9014736799404, None)), + ('molyboga_r001_s25_gamma100_long_manger', + (1388.589307468737, None)), + ('schur_diag_diag_ewa_r050_n25_s5_g050_long_manager', + (1379.2794618084897, None)), + ('schur_diag_diag_ewa_r050_n25_s5_g010_long_manager', + (1368.7394036852604, None))] diff --git a/precise/skatervaluation/battleutil/interpretingelo.py b/precise/skatervaluation/battleutil/interpretingelo.py new file mode 100644 index 00000000..df7e0145 --- /dev/null +++ b/precise/skatervaluation/battleutil/interpretingelo.py @@ -0,0 +1,155 @@ + +import re +import pandas as pd +import numpy as np + + +def gamma_plot(ratings, model_sub_string:str, min_gamma=0, max_gamma=100, lmbda=1): + """ Plots the relationship between choice of gamma and Elo rating + + :ratings - The output from elo_from_win_files(genre=GENRE, category=CATEGORY_MATCH) + + """ + + # Plot gamma relationship to Elo + from matplotlib.pyplot import cm + import numpy as np + rainbow = cm.rainbow(np.linspace(0, 1, len(ratings))) + from sklearn.linear_model import LinearRegression + + import matplotlib.pyplot as plt + for category_and_ratings, c in zip(ratings, rainbow): + category = category_and_ratings[0] + elos = list() + gammas = list() + colors = list() + for name, (elo,cpu) in category_and_ratings[1].items(): + if model_sub_string in name: + gstr = name.split('_')[8] + g = int(gstr[1:]) + if min_gamma <= g <= max_gamma: + elos.append(elo) + gammas.append(g) + colors.append(c) + cat_splt = category.split('_') + label = cat_splt[3] + title = ' '.join( cat_splt[0:2] ) + cat_splt[-1] + + if max_gamma<100 and False: + # Line of best fit + X, Y = np.array(gammas).reshape(-1, 1), np.array(elos).reshape(-1, 1) + plt.plot(X, LinearRegression().fit(X, Y).predict(X), color=c, linestyle='dashed') + elif False: + # Smooth fit + import smoothfit + a, b, n_knot = 0, 100, 99 + basis, coef = smoothfit.fit1d(x0=gammas, y0=elos, a=a, b=b, n=n_knot, lmbda=lmbda) + plt.plot(basis.mesh.p[0], coef[basis.nodal_dofs[0]], linestyle='dashed', color=c) + + plt.scatter(x=gammas, y=elos, c=colors, label=label) + + + plt.title('Gamma v. Elo (dimension p)') + plt.xlabel('Gamma') + plt.legend(loc='lower center') + plt.ylabel('Elo') + plt.grid(); + plt.show() + + + +def manager_regressor_frame(elos): + """ + Construct a dataframe where regressors are inferred from manager names. + """ + MODEL_KEY_REPLACEMENTS = {'gamma': 'g','t0':'tzero'} + MODEL_KEYS_NOT_USED = ['manager', 'manger', 'long', 'pcov', 'check'] + + def augment_alloc(name): + # Differentiate between 2nd and 3rd hints (usually alloc verus portfolio method) + splt = name.split('_') + if splt[2] == splt[1]: + splt[2] = splt[2] + 'xx' # Allocation + splt[1] = splt[1] + 'xy' # Portfolio + return '_'.join(splt) + + def augment_weak(name): + splt = name.split('_') + if splt[0]=='weak': + splt[0]='weakxz' + return '_'.join(splt) + + def infer_categorical_and_ordinal(elos): + categorical = set() + ordinal = set() + for name, (_elo, _cpu) in elos: + name = augment_alloc(name=name) + name = augment_weak(name=name) + name_words = name.split('_') + for wd in name_words: + for r_old, r_new in MODEL_KEY_REPLACEMENTS.items(): + wd = wd.replace(r_old, r_new) + wd_head = re.search("[^\d]*", wd).group() + if wd == wd_head: + if wd not in MODEL_KEYS_NOT_USED: + categorical.add(wd_head) + else: + ordinal.add(wd_head) + return categorical, ordinal + + def make_model_regs_elo(elos, categorical, ordinal): + model_reg_elo = list() + for name, (elo,cpu) in elos: + name = augment_alloc(name=name) + name = augment_weak(name=name) + name_words = name.split('_') + reg_pairs = list() + for wd in list(set(name_words)): + for r_old,r_new in MODEL_KEY_REPLACEMENTS.items(): + wd = wd.replace(r_old,r_new) + + if wd in categorical: + pair = (wd+'_hot',1) + else: + wd_head = re.search("[^\d]*", wd).group() + if wd_head in categorical: + pair = (wd+'_hot',1) + elif wd_head in ordinal: + wd_tail = wd[len(wd_head):] + pair = (wd_head+'_ord',float(wd_tail)) + else: + pair = None + if pair is not None: + reg_pairs.append(pair) + model_reg_elo.append( (name, reg_pairs, elo) ) + return model_reg_elo + + def model_regs_elo_keys(model_regs_elo): + kys = set() + for model, regs, _elo in model_regs_elo: + for k, v in regs: + kys.add(k) + return kys + + def model_regs_elo_to_frame(model_regs_elo): + """ + Convert tuples into dataframe setting non-ordinal variables to 0.0 + """ + kys = model_regs_elo_keys(model_regs_elo) + + rows = list() + for model, regs, elo in model_regs_elo: + row_dict = dict([(k, np.nan if '_ord' in k else 0.0) for k in kys]) + row_dict.update({'elo': elo}) + for reg, val in regs: + row_dict[reg] = val + row = pd.DataFrame.from_dict(row_dict, orient='index').transpose() + rows.append(row) + df = pd.concat(rows) + return df + + categorical, ordinal = infer_categorical_and_ordinal(elos) + models_and_regs = make_model_regs_elo(elos=elos, categorical=categorical, ordinal=ordinal) + df = model_regs_elo_to_frame(model_regs_elo=models_and_regs) + return df + diff --git a/precise/skatervaluation/battleutil/speed.py b/precise/skatervaluation/battleutil/speed.py new file mode 100644 index 00000000..10a52296 --- /dev/null +++ b/precise/skatervaluation/battleutil/speed.py @@ -0,0 +1,39 @@ + + +MANAGER_TIME = {'hrp_weak_emp_d0_r050_n25_long_manager': 109.88053274154663, + 'hrp_weak_pm_t0_d0_r025_n50_long_manager': 147.65092754364014, + 'hrp_weak_pm_t0_d0_r050_n25_long_manager': 175.375182390213, + 'ppo_ewa_d0_r025_n50_quad_long_manager': 71.01052606105804, + 'ppo_ewa_d0_r025_n50_sharpe_long_manager': 75.59677314758301, + 'ppo_pm_t0_d0_r025_n50_quad_long_manager': 23.093345046043396, + 'ppo_pm_t0_d0_r025_n50_sharpe_long_manager': 39.30381226539612, + 'ppo_pm_t0_d0_r025_n50_vol_long_manager': 23.043459335962932, + 'ppo_sk_glcv_pcov_d0_n100_quad_long_manager': 585.8880656957626, + 'ppo_sk_glcv_pcov_d0_n100_sharpe_long_manager': 1222.945114850998, + 'ppo_sk_glcv_pcov_d0_n100_t0_quad_long_manager': 556.1878499190012, + 'ppo_sk_glcv_pcov_d0_n100_t0_sharpe_long_manager': 522.7344714403152, + 'ppo_sk_glcv_pcov_d0_n100_t0_vol_long_manager': 708.6874990463257, + 'ppo_sk_glcv_pcov_d0_n100_vol_long_manager': 372.40891790390015, + 'ppo_sk_ld_pcov_d1_n100_quad_long_manager': 31.417979538440704, + 'ppo_sk_ld_pcov_d1_n100_sharpe_long_manager': 6.752333402633667, + 'ppo_sk_ld_pcov_d1_n100_vol_long_manager': 1.543755054473877, + 'ppo_sk_mcd_pcov_d0_n100_quad_long_manager': 49.152095317840576, + 'ppo_sk_mcd_pcov_d0_n100_sharpe_long_manager': 39.70094704627991, + 'ppo_sk_mcd_pcov_d0_n100_vol_long_manager': 230.10923790931702, + 'schur_weak_emp_d0_r025_n50_g050_long_manager': 147.20440769195557, + 'schur_weak_emp_d0_r025_n50_g100_long_manager': 162.35997915267944, + 'schur_weak_emp_d0_r050_n25_g050_long_manager': 205.83457112312317, + 'schur_weak_emp_d0_r050_n25_g100_long_manager': 218.57394814491272, + 'schur_weak_pm_t0_d0_r025_n50_g100_long_manager': 195.06032411257425, + 'schur_weak_pm_t0_d0_r050_n25_g100_long_manager': 255.80769872665405, + 'weak_ewa_t0_d0_r025_n50_long_manager': 37.15584444999695, + 'weak_ewa_t0_d0_r050_n50_long_manager': 39.41439235210419, + 'weak_pm_t0_d0_r050_n50_long_manager': 34.10416221618652, + 'weak_sk_glcv_pcov_d0_n100_long_manager': 570.7869900465012, + 'weak_sk_glcv_pcov_d0_n100_t0_long_manager': 297.68794572353363, + 'weak_sk_ld_pcov_d0_n100_long_manager': 14.742313385009766, + 'weak_sk_mcd_pcov_d0_n100_long_manager': 123.25749707221985} + +TIMING = {'manager_info':MANAGER_TIME, + 'manager_var':MANAGER_TIME} + diff --git a/precise/skatervaluation/covariancecomparisonutil/__init__.py b/precise/skatervaluation/covariancecomparisonutil/__init__.py new file mode 100644 index 00000000..e69de29b diff --git a/precise/skatervaluation/empty.csv b/precise/skatervaluation/empty.csv new file mode 100644 index 00000000..5ea8288b --- /dev/null +++ b/precise/skatervaluation/empty.csv @@ -0,0 +1 @@ +nothing,6 diff --git a/precise/skatervaluation/managercomparisonutil/__init__.py b/precise/skatervaluation/managercomparisonutil/__init__.py new file mode 100644 index 00000000..e69de29b diff --git a/precise/skatervaluation/managercomparisonutil/managerstats.py b/precise/skatervaluation/managercomparisonutil/managerstats.py new file mode 100644 index 00000000..ec920932 --- /dev/null +++ b/precise/skatervaluation/managercomparisonutil/managerstats.py @@ -0,0 +1,126 @@ +import time +import numpy as np +from momentum.functions import var_init, var_update +from itertools import zip_longest +from pprint import pprint + + +def manager_info(contestant, xs, n_burn, **ignore): + # evaluator for battles + metrics = manager_stats(mgr=contestant, xs=xs, n_burn=n_burn) + return metrics['info'], metrics + + +def manager_var(contestant, xs, n_burn, **ignore): + # evaluator for battles + metrics = manager_stats(mgr=contestant, xs=xs, n_burn=n_burn) + return -metrics['var'], metrics + + +def var_metric(y,w_prev): + return sum([yi * wi for yi, wi in zip_longest(y, w_prev)]) + + +def manager_stats_leaderboard(mgrs, xs, n_burn=100, metric=var_metric, j=1, q=1.0, + verbose=True, field='info'): + """ + :param mgrs: + :param xs: + :param n_burn: + :param metric: + :param j: + :param q: + :param verbose: + :param field: + :return: [ (score, name, manager) ] + """ + def beating(score, benchmark_score): + if abs(score-benchmark_score)<1e-8: + return 0.5 + else: + return score>benchmark_score + + try: + from shutil import get_terminal_size + import pandas as pd + pd.set_option('display.width', get_terminal_size()[0]) + except Exception as e: + print(e) + + lb = list() + print('Benchmark is '+ mgrs[0].__name__) + for ndx, mgr in enumerate(mgrs): + stats = manager_stats(mgr=mgr, xs=xs, n_burn=n_burn, j=j, q=q, metric=metric, verbose=False) + score = stats[field] + if ndx==0: + benchmark_score = score + beat = np.nan + else: + beat = beating(score, benchmark_score) + lb.append((score, mgr.__name__, mgr, beat)) + + if verbose: + print(' ') + print('---- leaderboard ---- ') + info_brief = [(s, n) for (s, n, _, _) in lb] + pprint(sorted(info_brief, reverse=True)) + beat_prob = np.nanmean([rec[3] for rec in lb]) + print('Prob of beating benchmark is '+str(beat_prob)) + return lb + + +def manager_stats(mgr, xs, n_burn=100, metric=var_metric, j=1, q=1.0, verbose=False): + """ + Compute manager stats. + Sends e=-1 during burn-in, then e=1 during assessment period + :returns dict with mean, var, kurtosis etc of portfolio returns + """ + start_time = time.time() + n_obs, n_dim = np.shape(xs) + assert n_obs > n_burn + + s = {} # Manager state + + if verbose: + print(' burning in') + for y in xs[:n_burn]: + w, s = mgr(s=s, y=y, k=1, e=-1, j=j, q=q) + + if verbose: + print(' burn in complete', flush=True) + + # print(' evaluating') + metrics = var_init() + w_prev = None + mrg_time = 0 + for m, y in enumerate(xs[n_burn:]): + if w_prev is not None: + x = metric(y=y, w_prev=w_prev) + metrics = var_update(metrics, x=x) + + # Store portfolio for assessment against next data point + w_prev = w + + # Make next portfolio selection + st = time.time() + w, s = mgr(s=s, y=y, k=1, e=1, j=j, q=q) + mrg_time += time.time() - st + + total_time = time.time() - start_time + metrics.update({'time': mrg_time, 'total_time': total_time}) + metrics['info'] = metrics['mean'] / metrics['std'] + if verbose: + print(' sharpe = ' + str(metrics['info'])) + print(' std = ' + str(metrics['std'])) + print(' last weight = ' + str(w)) + return metrics + + +if __name__=='__main__': + import random + from precise.skaters.managers.allmanagers import LONG_MANAGERS + xs = np.random.randn(500,3) + for contestant in LONG_MANAGERS: + print(contestant.__name__) + ll, metrics = manager_info(contestant=contestant, xs=xs, n_burn=50) + print(' '+str(ll)) diff --git a/precise/skatervaluation/managercomparisonutil/managertesting.py b/precise/skatervaluation/managercomparisonutil/managertesting.py new file mode 100644 index 00000000..3bb266cc --- /dev/null +++ b/precise/skatervaluation/managercomparisonutil/managertesting.py @@ -0,0 +1,85 @@ +from precise.skatertools.data.equityhistorical import random_cached_equity_dense +import traceback +import os +from uuid import uuid4 +import json +from pprint import pprint +from precise.whereami import TESTSERROR +import pathlib +import time + + +def manager_debug_run(mgr,n_obs=500,n_dim=7, j=1, q=1.0, verbose=True): + """ + Test manager and log traceback to /testserrors + """ + xs = random_cached_equity_dense(k=1, n_obs=n_obs, n_dim=n_dim, as_frame=False) + s = {} + if verbose: + print('Manager test run burn-in phase starting ') + for y in xs[:15]: + w, s = mgr(y=y, s=s, e=-1, j=j, q=q) + + if verbose: + print('Manager test run usage phase starting ') + for y in xs[15:]: + w, s = mgr(y=y, s=s, e=1, j=j, q=q) + + + + +def manager_test_run(mgr,n_obs=50,n_dim=7, j=1, q=1.0, verbose=False): + """ + Test manager and log traceback to /testserrors + """ + xs = random_cached_equity_dense(k=1, n_obs=n_obs, n_dim=n_dim, as_frame=False) + + try: + s = {} + if verbose: + print('Manager test run burn-in phase starting ') + for y in xs[:n_obs - 5]: + w, s = mgr(y=y, s=s, e=-1, j=j, q=q) + + if verbose: + print('Manager test run usage phase starting ') + for y in xs[-5:]: + w, s = mgr(y=y, s=s, e=1, j=j, q=q) + except Exception as e: + error_data = {'traceback':traceback.format_exc(), + 'exception':str(e), + 'manager':mgr.__name__} + manager_error_dir = os.path.join(TESTSERROR,'managers') + pathlib.Path(manager_error_dir).mkdir(parents=True, exist_ok=True) + error_file = os.path.join(manager_error_dir,mgr.__name__+'_'+str(uuid4())+'.json') + pprint(error_data) + with open(error_file, 'wt') as fh: + json.dump(error_data,fh) + return w + + +def manager_profile(mgr,n_obs=500,n_dim=50, j=1, q=1.0, verbose=False): + """ + Test manager and log traceback to /testserrors + """ + xs = random_cached_equity_dense(k=1, n_obs=n_obs, n_dim=n_dim, as_frame=False) + + cpu = {-1:0,0:0,1:0} + + s = {} + + for e in [-1,0,1]: + print(e) + st = time.time() + for y in xs[:25]: + w, s = mgr(y=y, s=s, e=e, j=j, q=q) + cpu[e]+= time.time()-st + + return cpu + + + +if __name__=='__main__': + from precise.skaters.managers.schurmanagers import schur_weak_weak_pm_t0_r025_n50_s25_g100_h125_long_manager as mgr + cpu = manager_profile(mgr=mgr) + pprint(cpu) \ No newline at end of file diff --git a/precise/skatervaluation/portfoliocomparisonutil/__init__.py b/precise/skatervaluation/portfoliocomparisonutil/__init__.py new file mode 100644 index 00000000..e69de29b diff --git a/precise/skatervaluation/portfoliocomparisonutil/portcomparison.py b/precise/skatervaluation/portfoliocomparisonutil/portcomparison.py new file mode 100644 index 00000000..b4ec8c38 --- /dev/null +++ b/precise/skatervaluation/portfoliocomparisonutil/portcomparison.py @@ -0,0 +1,230 @@ +from precise.skaters.portfolioutil.portfunctions import portfolio_variance +import numpy as np +import pandas as pd +from collections import Counter +from pprint import pprint +from precise.skaters.covarianceutil.covrandom import random_known_cov +from momentum import kurtosis_init, kurtosis_update +import time + +from precise.skaters.covarianceutil.covrandom import random_factor_cov + + +def points_race( ranker, ranker_kwargs, n_iter=100, n_top=20): + c = Counter() + for _ in range(n_iter): + rankings = ranker(as_frame=False, **ranker_kwargs) + points = [ (port_name, max(len(rankings)-k,0) ) for k,(port_name,_,_) in enumerate(rankings) ] + c.update(dict(points)) + pprint(c.most_common(n=n_top)) + return c + + +def stock_portfolio_variance_points_race(n_iter=100,n_top=50, **kwargs): + return points_race(n_iter=n_iter, n_top=n_top, ranker=stock_portfolio_variance_rankings, ranker_kwargs=kwargs) + + +def equity_portfolio_variance_points_race(n_iter=100,n_top=50, **kwargs): + return points_race(n_iter=n_iter, n_top=n_top, ranker=m6_equity_portfolio_variance_rankings, ranker_kwargs=kwargs) + + +def rdps_portfolio_variance_points_race(n_iter=100,n_top=50, **kwargs): + return points_race(n_iter=n_iter, n_top=n_top, ranker=rdps_etf_variance_rankings, ranker_kwargs=kwargs) + + +def equity_portfolio_correlation_points_race(n_iter=100,n_top=50, **kwargs): + return points_race(n_iter=n_iter, n_top=n_top, ranker=m6_equity_portfolio_correlation_rankings, ranker_kwargs=kwargs) + + +def rdps_etf_variance_rankings(ports, n_dim=10, n_obs = 300, k=1, as_frame=True, n_iter=10): + """ + Quick and dirty leave one-out + """ + from precise.skatertools.data.equitylive import random_rdps_returns + data = random_rdps_returns(n_dim=n_dim, n_obs=n_obs, verbose = False, k=k) + t_obs = int(0.75*n_obs) + test_cov = np.cov(data[:t_obs] ,rowvar=False) + train_cov = np.cov(data[t_obs:], rowvar=False) + return portfolio_variance_rankings(cov_test=test_cov, ports=ports, cov_train=train_cov, as_frame=as_frame, n_iter=n_iter ) + + +def stock_portfolio_variance_rankings(ports, n_dim=10, n_obs = 300, k=1, as_frame=True, n_iter=10): + """ + Quick and dirty + """ + from precise.skatertools.data.equityhistorical import random_cached_equity_dense + data = random_cached_equity_dense(n_dim=n_dim, n_obs=n_obs, verbose = False, k=k) + t_obs = int(0.75*n_obs) + test_cov = np.cov(data[:t_obs] ,rowvar=False) + train_cov = np.cov(data[t_obs:], rowvar=False) + return portfolio_variance_rankings(cov_test=test_cov, ports=ports, cov_train=train_cov, as_frame=as_frame, n_iter=n_iter ) + + +def m6_equity_portfolio_variance_rankings(ports, n_dim=10, n_obs = 300, interval='1d', etf=1, as_frame=True, n_iter=10): + """ + Quick and dirty + """ + from precise.skatertools.data.equitylive import random_m6_returns + data = random_m6_returns(n_dim=n_dim, n_obs=n_obs, verbose = False, interval = interval, etf = etf) + t_obs = int(0.5*n_obs) + test_cov = np.cov(data[:t_obs] ,rowvar=False) + train_cov = np.cov(data[t_obs:], rowvar=False) + return portfolio_variance_rankings(cov_test=test_cov, ports=ports, cov_train=train_cov, as_frame=as_frame, n_iter=n_iter ) + + +def m6_equity_portfolio_correlation_rankings(ports, n_dim=10, n_obs = 300, interval='1d', etf=1, as_frame=True): + """ + Quick and dirty comparison using empirical corrcoef for cov + """ + from precise.skatertools.data.equitylive import random_m6_returns + data = random_m6_returns(n_dim=n_dim, n_obs=n_obs, verbose = False, interval = interval, etf = etf) + t_obs = int(0.666*n_obs) + test_cov = np.corrcoef(data[:t_obs] ,rowvar=False) + train_cov_gen = np.corrcoef(data[t_obs:], rowvar=False) + n = np.shape(data)[1] + ys = np.random.multivariate_normal(mean=np.zeros(n), cov=train_cov_gen, size=50 ) + train_cov = np.cov(ys, rowvar=False) + + return portfolio_variance_rankings(cov_test=test_cov, ports=ports, cov_train=train_cov, as_frame=as_frame ) + + +def portfolio_variance_rankings(cov_train, ports, cov_test=None, as_frame=True, n_iter=1): + """ Really crude comparison with single train/test + + :param cov_train: Training cov matrix + :param ports: List of portfolio methods + :param cov_test: + :param as_frame: + :return: + """ + + if cov_test is None: + cov_test = cov_train + + rankings = list() + for port in ports: + w = port(cov_train) + try: + in_var = portfolio_variance(cov=cov_train, w=w) + out_var = portfolio_variance(cov=cov_test, w=w) + except ValueError: + print('portfolio may be wrong shape, or cov_tain, cov_test') + raise + rankings.append((port.__name__, in_var, out_var)) + leaderboard = sorted(rankings, key=lambda t :t[2]) + + if as_frame: + bestout = leaderboard[0][2] + df = pd.DataFrame(columns=['method' ,'invar' ,'outvar'] ,data=leaderboard) + df['out sample relative'] = df['outvar']/bestout + return df + else: + return leaderboard + + +def port_sample_var(ports, cov, n_anchor, n_observed, n_true, show_progress=True, max_time=10*60): + """ Judge and rank by simulated portfolio variance when ... + anchor is samples from cov + true is samples from anchor + observed is samples from true + :param ports: + :param cov: + :param n_draws: + :param n_true: + :return: + """ + cov = random_factor_cov(n_dim=np.shape(cov)[0]) + moments = port_kurtosis(ports=ports, seed_cov=cov, max_time=max_time, n_anchor=n_anchor, n_observed=n_observed, + n_true=n_true, metric='mean', show_progress=show_progress) + return sorted( moments.items(), key=lambda x: x[1], reverse=False) + + +def port_kurtosis(ports, seed_cov, n_observed, n_anchor=None, n_true=None, + metric=None, show_progress=True, port_kwargs=None, + max_time=5*60, **ignore): + """ + Sample true and observed cov matrices, and compute out of sample portfolio var + + :param ports: List of port functions + :param seed_cov: Covariance used to generate both true and observed cov + :param n_true: Number of samples used to generate random true and observed cov from anchor, or None + :param n_anchor: Number of samples used to generate random anchor from cov, or None + :param n_observed Number of samples used to estimate corr matrices + :param metric: If supplied, will return + :param max_time Seconds to run for + :return: + """ + if port_kwargs is None: + port_kwargs = {} + + def covrnd(): + return seed_cov + + return portfolio_variance_comparison(ports=ports, covrnd=covrnd, n_anchor=n_anchor, + n_observed=n_observed, n_true=n_true, metric=metric, show_progress=show_progress, + port_kwargs=port_kwargs, max_time=max_time) + + + +def portfolio_variance_comparison(ports, covrnd, n_observed, max_time=5*60, n_anchor=None, n_true=None, + metric=None, show_progress=True, port_kwargs=None): + """ + Sample true and observed cov matrices, and compute out of sample portfolio var + + :param ports: List of port functions + :param covrnd: Function returning a random covariancecomparisonutil matrix + :param n_draws: Number of outer iterations + :param n_true: Number of samples used to generate random true and observed cov from anchor, or None + :param n_anchor: Number of samples used to generate random anchor from cov + :param n_observed Number of samples used to estimate corr matrices + :param metric: If supplied, will return + :return: + """ + if port_kwargs is None: + port_kwargs = {} + + run_start_time = time.time() + + last_update_time = time.time()-60 + moments = dict([(port.__name__, kurtosis_init()) for port in ports]) + draw_no = 0 + while time.time()-run_start_time0.01: + print('weight did not sum to unity') + pv = portfolio_variance(w=w, cov=true_cov) + if abs(pv)<0.001: + print('hmmm') + moments[port.__name__] = kurtosis_update(moments[port.__name__], pv ) + if show_progress: + if time.time()-last_update_time>20: + import math + the_means = [(pn, m.get('mean'), m.get('std')/math.sqrt(1+draw_no)) for pn, m in moments.items()] + pprint(sorted(the_means, key=lambda x: x[1])) + last_update_time = time.time() + + if metric is not None: + return dict([ (pn,m.get(metric)) for pn,m in moments.items() ]) + else: + return moments + + +if __name__=='__main__': + from precise.skaters.portfoliostatic.rpport import RP_LONG_PORT + from precise.skaters.portfoliostatic.schurport import SCHUR_LONG_PORT + from precise.skaters.portfoliostatic.hrpport import HRP_LONG_PORT + ports = RP_LONG_PORT + SCHUR_LONG_PORT + HRP_LONG_PORT + #rdps_portfolio_variance_points_race(n_iter=500,n_top=50, n_obs =120, ports=ports) + stock_portfolio_variance_points_race(n_iter=500,n_top=50, n_obs =200, ports=ports, n_dim=100) \ No newline at end of file diff --git a/precise/skatervaluation/portfoliocomparisonutil/portsuggestion.py b/precise/skatervaluation/portfoliocomparisonutil/portsuggestion.py new file mode 100644 index 00000000..3c4ebd37 --- /dev/null +++ b/precise/skatervaluation/portfoliocomparisonutil/portsuggestion.py @@ -0,0 +1,22 @@ +from precise.skatervaluation.portfoliocomparisonutil.portcomparison import port_sample_var +from precise.skaters.portfoliostatic.allstaticport import PORT +from precise.skaters.covarianceutil.covrandom import random_factor_cov +from pprint import pprint + + +def suggest_port_using_sample_cov(n_dim=None, cov=None, n_anchor=1000, n_observed=1000, n_true=100, max_time=30 * 60): + """ Produces a list of suggested static portfolio functions based on sampled true and obs cov + :param n_dim: Dimension of problem + :param cov: Anchor cov that is 'typical' in some sense + :return: leaderboard in increasing order + """ + if cov is None: + cov = random_factor_cov(n_dim=n_dim) + return port_sample_var(ports=PORT, max_time=max_time, cov=cov, n_anchor=n_anchor, + n_observed=n_observed, n_true=n_true, show_progress=True) + + + +if __name__=='__main__': + suggestions = suggest_port_using_sample_cov(n_dim=5) + pprint(suggestions) \ No newline at end of file diff --git a/precise/skatervaluation/queues/README.md b/precise/skatervaluation/queues/README.md new file mode 100644 index 00000000..8176e673 --- /dev/null +++ b/precise/skatervaluation/queues/README.md @@ -0,0 +1,2 @@ +do not delete this dir +here due to old bug in treatment of MANIFEST.in \ No newline at end of file diff --git a/precise/skatervaluation/queues/__init__.py b/precise/skatervaluation/queues/__init__.py new file mode 100644 index 00000000..e69de29b diff --git a/precise/skatervaluation/schurcomparisionutil/README.md b/precise/skatervaluation/schurcomparisionutil/README.md new file mode 100644 index 00000000..8176e673 --- /dev/null +++ b/precise/skatervaluation/schurcomparisionutil/README.md @@ -0,0 +1,2 @@ +do not delete this dir +here due to old bug in treatment of MANIFEST.in \ No newline at end of file diff --git a/precise/skatervaluation/schurcomparisonutil/__init__.py b/precise/skatervaluation/schurcomparisonutil/__init__.py new file mode 100644 index 00000000..e69de29b diff --git a/precise/skatervaluation/schurcomparisonutil/schurportpaperutils.py b/precise/skatervaluation/schurcomparisonutil/schurportpaperutils.py new file mode 100644 index 00000000..fb9442e0 --- /dev/null +++ b/precise/skatervaluation/schurcomparisonutil/schurportpaperutils.py @@ -0,0 +1,218 @@ +# These are merely here as a convenience for gamma academic +from precise.skaters.portfoliostatic.weakportfactory import weak_portfolio_factory +from precise.skaters.portfoliostatic.schurportfactory import schur_portfolio_factory +from precise.skaters.portfoliostatic.hrpportfactory import hierarchical_risk_parity_portfolio_factory +from precise.skaters.portfoliostatic.weakalloc import weak_long_alloc +from precise.skaters.portfoliostatic.diagalloc import diag_alloc +from precise.skaters.portfoliostatic.unitport import unit_port +from precise.skaters.portfoliostatic.diagport import diag_long_port +import numpy as np +from precise.inclusion.matplotlibinclusion import using_matplotlib +from precise.skatervaluation.portfoliocomparisonutil.portcomparison import port_kurtosis +from pprint import pprint + +# Some utilities used in the Schur paper +# Intent is examination of the impact of the gamma parameter + +if using_matplotlib: + import matplotlib.pyplot as plt + + def gamma_comparison_and_plot(rnd_cov, rnd_cov_kwargs, n_anchor, n_true, + n_observed, max_time, n_split, xlabel, g_ports=None): + + if g_ports is None: + g_ports = G_PORTS + + def moment_plot(moments: dict, sty='go'): + """ Plot portfolio var against gamma + """ + x_plot = list() + y_plot = list() + for stp in range(0, 100, 5): + ky = 'g' + str(stp).zfill(3) + if ky in moments: + x_plot.append(stp / 100) + y_plot.append(moments[ky]) + import matplotlib.pyplot as plt + plt.plot(x_plot, y_plot, sty) + plt.grid() + plt.xlabel('Gamma') + plt.ylabel('Portfolio variance') + + stys = ['go', 'r+', 'b*'] + stys = ['go'] + bps = list() + ports = g_ports + OTHER_PORTS + for sty in stys: + seed_cov = rnd_cov(**rnd_cov_kwargs) + moments = port_kurtosis(ports=ports, seed_cov=seed_cov, n_true=n_true, + n_anchor=n_anchor, n_observed=n_observed, + metric='mean', port_kwargs={'n_split': n_split}, + max_time=max_time) + pprint(moments) + try: + # Assumes 10% return annually + bps_saved = int(10000 * 0.1 * (moments['g000'] - moments['g100']) / (2 * moments['g000'])) + bps.append(bps_saved) + pprint({'bps_saved': np.mean(bps)}) + except: + pass + normalized_moments = dict([(k, v / moments['g000']) for k, v in moments.items()]) + moment_plot(moments=normalized_moments, sty=sty) + + plt.title('Portfolio variance as $\gamma$ is varied') + full_xlabel = xlabel + ' benefit=' + str(round(np.mean(bps))) + ' bps' + plt.xlabel(full_xlabel) + plt.show() + plt.savefig('schur.png') + + +else: + def gamma_comparison_and_plot(**kwargs): + print('pip install matplotlib') + + +def deep_gamma_port(cov, gamma, n_split, jiggle=False): + assert gamma is not None + return schur_portfolio_factory(port=weak_portfolio_factory, + alloc=weak_long_alloc, cov=cov, + n_split=n_split, gamma=gamma, jiggle=jiggle) + + +def gamma_port(cov, gamma, n_split, jiggle=False): + """ + A shallow version of Schur intended to try to separate out the effect + of using Schur at the top division step, versus not using it there. + """ + + # Only one schur step and then HRP + assert gamma is not None + return schur_portfolio_factory(port=hierarchical_risk_parity_portfolio_factory, + port_kwargs={'n_split':n_split}, + alloc=diag_alloc, cov=cov, + n_split=n_split, gamma=gamma, jiggle=jiggle) + + + +def unitary(cov, **ignore): + return unit_port(cov=cov) + + +def diagn(cov, **ignore): + return diag_long_port(cov=cov) + + +def g000(cov, n_split, **ignore): + return gamma_port(cov=cov, gamma=0, n_split=n_split) + + +def g000i(cov, n_split): + return gamma_port(cov=cov, gamma=0, n_split=n_split) + + +def g005(cov, n_split): + return gamma_port(cov=cov, gamma=0.05, n_split=n_split) + + +def g010(cov, n_split): + return gamma_port(cov=cov, gamma=0.10, n_split=n_split) + + +def g010j(cov, n_split): + return gamma_port(cov=cov, gamma=0.10, n_split=n_split, jiggle=True) + + +def g015(cov, n_split): + return gamma_port(cov=cov, gamma=0.15, n_split=n_split) + + +def g020(cov, n_split): + return gamma_port(cov=cov, gamma=0.20, n_split=n_split) + + +def g020j(cov, n_split): + return gamma_port(cov=cov, gamma=0.20, n_split=n_split, jiggle=True) + + +def g025(cov, n_split): + return gamma_port(cov=cov, gamma=0.25, n_split=n_split) + + +def g030(cov, n_split): + return gamma_port(cov=cov, gamma=0.30, n_split=n_split) + + +def g035(cov, n_split): + return gamma_port(cov=cov, gamma=0.35, n_split=n_split) + + +def g040(cov, n_split): + return gamma_port(cov=cov, gamma=0.40, n_split=n_split) + + +def g040i(cov, n_split): + return gamma_port(cov=cov, gamma=0.40, n_split=n_split) + + +def g050(cov, n_split): + return gamma_port(cov=cov, gamma=0.50, n_split=n_split) + + +def g060(cov, n_split): + return gamma_port(cov=cov, gamma=0.60, n_split=n_split) + + +def g070(cov, n_split): + return gamma_port(cov=cov, gamma=0.70, n_split=n_split) + + +def g080(cov, n_split): + return gamma_port(cov=cov, gamma=0.80, n_split=n_split) + + +def g090(cov, n_split): + return gamma_port(cov=cov, gamma=0.90, n_split=n_split) + + +def g100(cov, n_split): + return gamma_port(cov=cov, gamma=1.00, n_split=n_split) + +from precise.skaters.portfoliostatic.equalport import equal_long_port +def eql(cov, **ignore): + return equal_long_port(cov=cov) + +from precise.skaters.portfoliostatic.weakport import weak_long_port +def week(cov, **ignore): + return weak_long_port(cov=cov) + +from precise.skaters.portfoliostatic.unitport import unit_port_p050, unit_port_p090 +def u050(cov, **ignore): + return unit_port_p050(cov=cov) +def u090(cov, **ignore): + return unit_port_p090(cov=cov) + + +def d005(cov, n_split, **ignore): + return deep_gamma_port(cov=cov, gamma=0.05, n_split=n_split) + + +def d095(cov, n_split, **ignore): + return deep_gamma_port(cov=cov, gamma=0.95, n_split=n_split) + + +def d050(cov, n_split, **ignore): + return deep_gamma_port(cov=cov, gamma=0.5, n_split=n_split) + +def d075(cov, n_split, **ignore): + return deep_gamma_port(cov=cov, gamma=0.75, n_split=n_split) + + +def d025(cov, n_split, **ignore): + return deep_gamma_port(cov=cov, gamma=0.25, n_split=n_split) + + + + +G_PORTS = [g000, g000i, g050, g010, g010j, g015, g020, g020j, g025, + g030, g035, g040, g050, g060, g070, g080, g090, g100] +OTHER_PORTS = [u050, d005, d025, d050, d075, d095] diff --git a/precise/whereami.py b/precise/whereami.py new file mode 100644 index 00000000..15ef0c5e --- /dev/null +++ b/precise/whereami.py @@ -0,0 +1,31 @@ +import os +from pathlib import Path +from pprint import pprint +TOP = os.path.dirname(os.path.abspath(__file__)) +BATTLE_RESULTS_DIR = os.path.join(TOP, 'skatervaluation', 'battleresults') +GITHUB_COV_SKATERS = 'https://github.com/microprediction/precise/blob/main/precise/skaters/covariance/' +GITHUB_MANAGERS = 'https://github.com/microprediction/precise/blob/main/precise/skaters/managers/' +ROOT = Path(TOP).parent.absolute() +M6_EXAMPLES = os.path.join(ROOT,'m6') +MANAGER_MANIFEST = os.path.join(ROOT,'LISTING_OF_MANAGERS.md') +COV_SKATER_MANIFEST = os.path.join(ROOT,'LISTING_OF_COV_SKATERS.md') +TESTSERROR = os.path.join(ROOT,'testserrors') +ELO_CSV = os.path.join(TOP,'skatervaluation','battleresults','elo.csv') + +def url_from_skater_name(name:str)->str: + """ + Infer the location in GitHub for the skater's code + e.g. buf_emp_pcov_d0_n100 ->https://github.com/microprediction/precise/blob/main/precise/skaters/covariance/bufemp.py + """ + return GITHUB_COV_SKATERS + ''.join(name.split('_')[:2])+'.py' + + +def url_from_manager_name(name:str)->str: + return GITHUB_MANAGERS + ''.join(name.split('_')[:1])+'managers.py' + + + +if __name__=='__main__': + print(TOP) + print(url_from_skater_name(name='buf_emp_pcov_d0_n100')) + print(M6_EXAMPLES) diff --git a/precise/z/README.md b/precise/z/README.md new file mode 100644 index 00000000..520584ed --- /dev/null +++ b/precise/z/README.md @@ -0,0 +1,6 @@ + +### Testing +Object oriented and batch versions of algorithms, for testing + + + diff --git a/precise/z/__init__.py b/precise/z/__init__.py new file mode 100644 index 00000000..e69de29b diff --git a/precise/z/covariance/__init__.py b/precise/z/covariance/__init__.py new file mode 100644 index 00000000..e69de29b diff --git a/precise/z/covariance/hrporiginal.py b/precise/z/covariance/hrporiginal.py new file mode 100644 index 00000000..2d365158 --- /dev/null +++ b/precise/z/covariance/hrporiginal.py @@ -0,0 +1,4 @@ + +# See https://www.quantresearch.org/HRP_MC.py.txt + +# TODO: Should write unit test against it \ No newline at end of file diff --git a/precise/z/covariance/onlineempirical.py b/precise/z/covariance/onlineempirical.py new file mode 100644 index 00000000..bc486789 --- /dev/null +++ b/precise/z/covariance/onlineempirical.py @@ -0,0 +1,110 @@ +import numpy as np + +# Minor adaptations to code by Carsten Schelp +# https://carstenschelp.github.io/2019/05/12/Online_Covariance_Algorithm_002.html + + +class OnlineEmpiricalCovariance: + """ + A class to calculate the mean and the covariancecomparisonutil matrix + of the incrementally added, n-dimensional data. + """ + + def __init__(self, order): + """ + Parameters + ---------- + order: int, The order (=="number of features") of the incrementally added + dataset and of the resulting covariancecomparisonutil matrix. + """ + self._order = order + self._shape = (order, order) + self._identity = np.identity(order) + self._ones = np.ones(order) + self._count = 0 + self._mean = np.zeros(order) + self._cov = np.zeros(self._shape) + + @property + def count(self): + """ + int, The number of observations that has been added + to this instance of OnlineCovariance. + """ + return self._count + + @property + def mean(self): + """ + double, The mean of the added data. + """ + return self._mean + + @property + def cov(self): + """ + array_like, The covariancecomparisonutil matrix of the added data. + """ + return self._cov + + @property + def corrcoef(self): + """ + array_like, The normalized covariancecomparisonutil matrix of the added data. + Consists of the Pearson Correlation Coefficients of the data's features. + """ + if self._count < 1: + return None + variances = np.diagonal(self._cov) + denominator = np.sqrt(variances[np.newaxis, :] * variances[:, np.newaxis]) + return self._cov / denominator + + def add(self, observation): + """ + Add the given observation to this object. + + Parameters + ---------- + observation: array_like, The observation to add. + """ + if self._order != len(observation): + raise ValueError(f'Observation to add must be of size {self._order}') + + self._count += 1 + delta_at_nMin1 = np.array(observation - self._mean) + self._mean += delta_at_nMin1 / self._count + weighted_delta_at_n = np.array(observation - self._mean) / self._count + D_at_n = np.broadcast_to(weighted_delta_at_n, self._shape).T + D = (delta_at_nMin1 * self._identity).dot(D_at_n.T) + self._cov = self._cov * (self._count - 1) / self._count + D + + def merge(self, other): + """ + Merges the current object and the given other object into a new OnlineCovariance object. + + Parameters + ---------- + other: OnlineCovariance, The other OnlineCovariance to merge this object with. + + Returns + ------- + OnlineEmpiricalCovariance + """ + if other._order != self._order: + raise ValueError( + f''' + Cannot merge two OnlineCovariances with different orders. + ({self._order} != {other._order}) + ''') + + merged_cov = OnlineEmpiricalCovariance(self._order) + merged_cov._count = self.count + other.count + count_corr = (other.count * self.count) / merged_cov._count + merged_cov._mean = (self.mean / other.count + other.mean / self.count) * count_corr + flat_mean_diff = self._mean - other._mean + mean_diffs = np.broadcast_to(flat_mean_diff, self._shape).T + merged_cov._cov = (self._cov * self.count \ + + other._cov * other._count \ + + mean_diffs * mean_diffs.T * count_corr) \ + / merged_cov.count + return merged_cov \ No newline at end of file diff --git a/precise/z/covariance/partialmomentsbatch.py b/precise/z/covariance/partialmomentsbatch.py new file mode 100644 index 00000000..91e01220 --- /dev/null +++ b/precise/z/covariance/partialmomentsbatch.py @@ -0,0 +1,56 @@ +import numpy as np +import pandas as pd +import precise +import NNS +from NNS.Partial_Moments import PM_matrix + +def _NNS_pcov_init(s:dict=None, x:[[float]]=None, n_dim=None): + """ NNS population covariancecomparisonutil""" + n_dim = len(x[-1]) if x is not None else n_dim + if s is None: + s = dict() + s['n_dim']=n_dim + s['shape']=(n_dim, n_dim) + s['ones'] = np.ones(n_dim) + s['n_samples'] = 0 + s['pcov'] = np.zeros(s['shape']) + return s + + +def _NNS_pcov_update(s:dict, x:[[float]]): + assert s['n_dim'] == len(x[-1]) + s['n_samples'] += 1 + s['pcov'] = np.array(NNS.Partial_Moments.PM_matrix(1,1,s['n_dim']*[0],x, pop_adj=0)['cov.matrix']) + return s + + +def NNS_pcov(s:dict, x:[[float]])->dict: + """ + Track NNS sample covariancecomparisonutil + """ + if s.get('n_samples') is None: + if isinstance(x,int): + return _NNS_pcov_init(n_dim=x) + else: + return _NNS_pcov_init(x=x) + else: + return _NNS_pcov_update(s=s, x=x) + + +def merge_NNS_scov(s:dict, other_s:dict): + """ Merge two online covariancecomparisonutil tracking objects as if the data had been merged """ + if other_s['n_dim'] != s['n_dim']: + raise ValueError( + f''' + Cannot merge two OnlineCovariances with different orders. + ({s['n_dim']} != {other_s['n_dim']}) + ''') + + merged_cov = _NNS_pcov_init(n_dim=s['n_dim']) + merged_cov['n_samples'] = s['n_samples'] + other_s['n_samples'] + count_corr = (other_s['n_samples'] * s['n_samples']) / merged_cov['n_samples'] + merged_cov['mean'] = (s['mean'] / other_s['n_samples'] + other_s['mean'] / s['n_samples']) * count_corr + flat_mean_diff = s['mean'] - other_s['mean'] + mean_diffs = np.broadcast_to(flat_mean_diff, s['shape']).T + merged_cov['pcov'] = (s['pcov'] * s['n_samples'] + other_s['pcov'] * other_s['n_samples'] + mean_diffs * mean_diffs.T * count_corr) / merged_cov['n_samples'] + return merged_cov \ No newline at end of file diff --git a/precise/z/scalar/__init__.py b/precise/z/scalar/__init__.py new file mode 100644 index 00000000..e69de29b diff --git a/private_examples/__init__.py b/private_examples/__init__.py new file mode 100644 index 00000000..e69de29b diff --git a/report_elo_ratings_and_urls.ipynb b/report_elo_ratings_and_urls.ipynb new file mode 100644 index 00000000..3e2112d3 --- /dev/null +++ b/report_elo_ratings_and_urls.ipynb @@ -0,0 +1,314 @@ +{ + "nbformat": 4, + "nbformat_minor": 0, + "metadata": { + "colab": { + "name": "report_elo_ratings.ipynb", + "provenance": [], + "authorship_tag": "ABX9TyOn7972shpERxb+yssB4/aB", + "include_colab_link": true + }, + "kernelspec": { + "name": "python3", + "display_name": "Python 3" + }, + "language_info": { + "name": "python" + } + }, + "cells": [ + { + "cell_type": "markdown", + "metadata": { + "id": "view-in-github", + "colab_type": "text" + }, + "source": [ + "\"Open" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "SIHJnIVINZ7b" + }, + "outputs": [], + "source": [ + "!pip install git+https://github.com/microprediction/precise.git" + ] + }, + { + "cell_type": "markdown", + "source": [ + "### Report current Elo ratings\n", + "Be a little patient" + ], + "metadata": { + "id": "Cd0J8WX-RelH" + } + }, + { + "cell_type": "code", + "source": [ + "from precise.skatervaluation.battleutil.compilingeloratings import elo_from_win_files\n", + "from pprint import pprint \n", + "elos = elo_from_win_files()" + ], + "metadata": { + "id": "Qy-f0jV3NkGn" + }, + "execution_count": 2, + "outputs": [] + }, + { + "cell_type": "code", + "source": [ + "the_categories = [c for c,_ in elos]\n", + "print(the_categories)" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "61YqUwxpUnMy", + "outputId": "65eb557f-c59f-4b64-a3b3-e05454ad89d7" + }, + "execution_count": 3, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "['m6_stocks_daily_p5_n300', 'm6_stocks_daily_p25_n300']\n" + ] + } + ] + }, + { + "cell_type": "code", + "source": [ + "pprint(elos)" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "JMz5kyDwSR_f", + "outputId": "b122171d-54e0-45e0-d006-e11c3d06400b" + }, + "execution_count": 4, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "[('m6_stocks_daily_p5_n300',\n", + " Counter({'ewa_emp_pcov_d0_r01': 2056.6087587374086,\n", + " 'ewa_pm_emp_scov_r01_n100': 1954.0837661784103,\n", + " 'ewa_pm_emp_scov_r05_n25': 1905.7610157952174,\n", + " 'run_emp_pcov_d0': 1894.3957237425514,\n", + " 'buf_sk_oas_pcov_d0_n100': 1842.0186320913306,\n", + " 'ewa_pm_emp_scov_r02_n100': 1837.154638779129,\n", + " 'buf_sk_ld_pcov_d0_n100': 1820.407182355559,\n", + " 'ewa_pm_emp_scov_r02_n50': 1804.1006153810833,\n", + " 'ewa_emp_pcov_d0_r02': 1798.617879830803,\n", + " 'ewa_pm_emp_scov_r01_n200': 1787.5194433255706,\n", + " 'buf_huber_pcov_d0_a1_b5_n200': 1709.2004735451858,\n", + " 'buf_huber_pcov_d0_a05_b2_n200': 1707.5336111329723,\n", + " 'buf_sk_glcv_pcov_d0_n100': 1677.3680290493332,\n", + " 'buf_huber_pcov_d0_a1_b2_n200': 1608.642726781999,\n", + " 'buf_emp_pcov_d0_n100': 1605.385624256439,\n", + " 'buf_huber_pcov_d0_a05_b2_n100': 1603.3185497067461,\n", + " 'ewa_lz_scov_d0_rg005_rl02_n50': 1549.565568925084,\n", + " 'buf_huber_pcov_d0_a1_b5_n100': 1545.4386003082366,\n", + " 'buf_sk_emp_pcov_d0_n100': 1539.8952957762262,\n", + " 'ewa_lz_scov_d0_rg01_rl01_n100': 1461.359115212977,\n", + " 'buf_huber_pcov_d0_a1_b2_n100': 1450.0017911827445,\n", + " 'buf_huber_pcov_d0_a1_b5_n50': 1399.021760418556,\n", + " 'buf_emp_pcov_d0_n50': 1381.9364543882473,\n", + " 'buf_huber_pcov_d0_a1_b2_n50': 1345.2670623606264,\n", + " 'ewa_emp_pcov_d0_r05': 1319.4265598332431,\n", + " 'ewa_pm_emp_scov_r05_n50': 1303.6093559992903,\n", + " 'buf_huber_pcov_d0_a05_b2_n50': 1286.7739394154885,\n", + " 'ewa_lw_scov_d0_r01': 1117.0980071844622,\n", + " 'buf_sk_gl_pcov_d0_n100': 1112.432841438934,\n", + " 'ewa_lw_scov_d0_r02': 1058.1841892033576,\n", + " 'ewa_lz_scov_d0_rg005_rl01_n100': 1018.7900321788042,\n", + " 'ewa_emp_pcov_d0_r10': 948.4170267806011,\n", + " 'buf_sk_mcd_pcov_d0_n100': 834.9535552674776,\n", + " 'buf_emp_pcov_d0_n20': 715.7121734359018})),\n", + " ('m6_stocks_daily_p25_n300',\n", + " Counter({'ewa_pm_emp_scov_r01': 2732.22936367643,\n", + " 'ewa_pm_emp_scov_r01_t0': 2709.528719653436,\n", + " 'run_emp_pcov_d0': 2512.078531762425,\n", + " 'ewa_emp_pcov_d0_r01': 2465.737542699477,\n", + " 'buf_sk_ld_pcov_d0_n100': 2277.0504508222393,\n", + " 'buf_sk_glcv_pcov_d0_n100': 2249.9436398567677,\n", + " 'buf_sk_oas_pcov_d0_n100': 2148.3316741865924,\n", + " 'buf_huber_pcov_d0_a1_b5_n200': 2142.241622630625,\n", + " 'buf_huber_pcov_d0_a05_b2_n200': 2064.8778485595085,\n", + " 'buf_huber_pcov_d0_a1_b2_n200': 1969.7978397075462,\n", + " 'ewa_pm_emp_scov_r01_n200': 1945.4256956370284,\n", + " 'ewa_pm_emp_scov_r02': 1807.4435381106084,\n", + " 'ewa_pm_emp_scov_r01_n100': 1796.8631120663474,\n", + " 'ewa_pm_emp_scov_r02_t0': 1791.7478625485694,\n", + " 'ewa_emp_pcov_d0_r02': 1707.5871596282147,\n", + " 'ewa_pm_emp_scov_r02_n100': 1695.1479743890993,\n", + " 'ewa_pm_emp_scov_r05_n25': 1663.3797812319,\n", + " 'ewa_lz_scov_d0_rg005_rl02_n50': 1627.557887408645,\n", + " 'ewa_pm_emp_scov_r02_n50': 1626.357456352982,\n", + " 'ewa_lz_scov_d0_rg01_rl01_n100': 1562.316798898744,\n", + " 'buf_sk_emp_pcov_d0_n100': 1559.3892739986568,\n", + " 'buf_emp_pcov_d0_n100': 1540.6004831838252,\n", + " 'buf_huber_pcov_d0_a1_b5_n100': 1484.178035839985,\n", + " 'buf_huber_pcov_d0_a05_b2_n100': 1379.142646173649,\n", + " 'ewa_pm_emp_scov_r05_n50': 1347.7165350720716,\n", + " 'buf_huber_pcov_d0_a1_b2_n100': 1327.9741007871182,\n", + " 'ewa_lz_scov_d0_rg005_rl01_n100': 1227.7877211637701,\n", + " 'buf_sk_gl_pcov_d0_n100': 1207.0093487269025,\n", + " 'ewa_lw_scov_d0_r01': 1092.9738048355805,\n", + " 'ewa_lw_scov_d0_r02': 1038.4908103394419,\n", + " 'ewa_pm_emp_scov_r05_t0': 913.2771756209722,\n", + " 'ewa_pm_emp_scov_r05': 868.6699509160666,\n", + " 'buf_emp_pcov_d0_n20': 861.4166183843312,\n", + " 'ewa_emp_pcov_d0_r05': 828.0670047432791,\n", + " 'buf_emp_pcov_d0_n50': 716.9014742226427,\n", + " 'buf_huber_pcov_d0_a1_b5_n50': 648.4846654029797,\n", + " 'buf_huber_pcov_d0_a05_b2_n50': 557.0727665813296,\n", + " 'buf_huber_pcov_d0_a1_b2_n50': 383.67163288967174,\n", + " 'buf_sk_mcd_pcov_d0_n100': 370.5666066174874,\n", + " 'ewa_emp_pcov_d0_r10': 150.96484467304845}))]\n" + ] + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "## Print Elos and code locations" + ], + "metadata": { + "id": "jOL4sI47R1vD" + } + }, + { + "cell_type": "code", + "source": [ + "from precise.whereami import url_from_skater_name\n", + "n_top = 15 # <-- Number to print per category\n", + "results_with_urls = dict()\n", + "for cat, cat_elos in elos:\n", + " elos_w_code = sorted( [ (rating,name, url_from_skater_name(name)) for name,rating in cat_elos.items()],reverse=True)[:n_top]\n", + " results_with_urls[cat] = elos_w_code\n", + "pprint(results_with_urls)" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "ASbpDgVpR4_6", + "outputId": "7bffa6e8-0cf4-4b5a-eb75-9df21339b97d" + }, + "execution_count": 7, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "{'m6_stocks_daily_p25_n300': [(2732.22936367643,\n", + " 'ewa_pm_emp_scov_r01',\n", + " 'https://github.com/microprediction/precise/blob/main/precise/skaters/covariance/ewapm.py'),\n", + " (2709.528719653436,\n", + " 'ewa_pm_emp_scov_r01_t0',\n", + " 'https://github.com/microprediction/precise/blob/main/precise/skaters/covariance/ewapm.py'),\n", + " (2512.078531762425,\n", + " 'run_emp_pcov_d0',\n", + " 'https://github.com/microprediction/precise/blob/main/precise/skaters/covariance/runemp.py'),\n", + " (2465.737542699477,\n", + " 'ewa_emp_pcov_d0_r01',\n", + " 'https://github.com/microprediction/precise/blob/main/precise/skaters/covariance/ewaemp.py'),\n", + " (2277.0504508222393,\n", + " 'buf_sk_ld_pcov_d0_n100',\n", + " 'https://github.com/microprediction/precise/blob/main/precise/skaters/covariance/bufsk.py'),\n", + " (2249.9436398567677,\n", + " 'buf_sk_glcv_pcov_d0_n100',\n", + " 'https://github.com/microprediction/precise/blob/main/precise/skaters/covariance/bufsk.py'),\n", + " (2148.3316741865924,\n", + " 'buf_sk_oas_pcov_d0_n100',\n", + " 'https://github.com/microprediction/precise/blob/main/precise/skaters/covariance/bufsk.py'),\n", + " (2142.241622630625,\n", + " 'buf_huber_pcov_d0_a1_b5_n200',\n", + " 'https://github.com/microprediction/precise/blob/main/precise/skaters/covariance/bufhuber.py'),\n", + " (2064.8778485595085,\n", + " 'buf_huber_pcov_d0_a05_b2_n200',\n", + " 'https://github.com/microprediction/precise/blob/main/precise/skaters/covariance/bufhuber.py'),\n", + " (1969.7978397075462,\n", + " 'buf_huber_pcov_d0_a1_b2_n200',\n", + " 'https://github.com/microprediction/precise/blob/main/precise/skaters/covariance/bufhuber.py'),\n", + " (1945.4256956370284,\n", + " 'ewa_pm_emp_scov_r01_n200',\n", + " 'https://github.com/microprediction/precise/blob/main/precise/skaters/covariance/ewapm.py'),\n", + " (1807.4435381106084,\n", + " 'ewa_pm_emp_scov_r02',\n", + " 'https://github.com/microprediction/precise/blob/main/precise/skaters/covariance/ewapm.py'),\n", + " (1796.8631120663474,\n", + " 'ewa_pm_emp_scov_r01_n100',\n", + " 'https://github.com/microprediction/precise/blob/main/precise/skaters/covariance/ewapm.py'),\n", + " (1791.7478625485694,\n", + " 'ewa_pm_emp_scov_r02_t0',\n", + " 'https://github.com/microprediction/precise/blob/main/precise/skaters/covariance/ewapm.py'),\n", + " (1707.5871596282147,\n", + " 'ewa_emp_pcov_d0_r02',\n", + " 'https://github.com/microprediction/precise/blob/main/precise/skaters/covariance/ewaemp.py')],\n", + " 'm6_stocks_daily_p5_n300': [(2056.6087587374086,\n", + " 'ewa_emp_pcov_d0_r01',\n", + " 'https://github.com/microprediction/precise/blob/main/precise/skaters/covariance/ewaemp.py'),\n", + " (1954.0837661784103,\n", + " 'ewa_pm_emp_scov_r01_n100',\n", + " 'https://github.com/microprediction/precise/blob/main/precise/skaters/covariance/ewapm.py'),\n", + " (1905.7610157952174,\n", + " 'ewa_pm_emp_scov_r05_n25',\n", + " 'https://github.com/microprediction/precise/blob/main/precise/skaters/covariance/ewapm.py'),\n", + " (1894.3957237425514,\n", + " 'run_emp_pcov_d0',\n", + " 'https://github.com/microprediction/precise/blob/main/precise/skaters/covariance/runemp.py'),\n", + " (1842.0186320913306,\n", + " 'buf_sk_oas_pcov_d0_n100',\n", + " 'https://github.com/microprediction/precise/blob/main/precise/skaters/covariance/bufsk.py'),\n", + " (1837.154638779129,\n", + " 'ewa_pm_emp_scov_r02_n100',\n", + " 'https://github.com/microprediction/precise/blob/main/precise/skaters/covariance/ewapm.py'),\n", + " (1820.407182355559,\n", + " 'buf_sk_ld_pcov_d0_n100',\n", + " 'https://github.com/microprediction/precise/blob/main/precise/skaters/covariance/bufsk.py'),\n", + " (1804.1006153810833,\n", + " 'ewa_pm_emp_scov_r02_n50',\n", + " 'https://github.com/microprediction/precise/blob/main/precise/skaters/covariance/ewapm.py'),\n", + " (1798.617879830803,\n", + " 'ewa_emp_pcov_d0_r02',\n", + " 'https://github.com/microprediction/precise/blob/main/precise/skaters/covariance/ewaemp.py'),\n", + " (1787.5194433255706,\n", + " 'ewa_pm_emp_scov_r01_n200',\n", + " 'https://github.com/microprediction/precise/blob/main/precise/skaters/covariance/ewapm.py'),\n", + " (1709.2004735451858,\n", + " 'buf_huber_pcov_d0_a1_b5_n200',\n", + " 'https://github.com/microprediction/precise/blob/main/precise/skaters/covariance/bufhuber.py'),\n", + " (1707.5336111329723,\n", + " 'buf_huber_pcov_d0_a05_b2_n200',\n", + " 'https://github.com/microprediction/precise/blob/main/precise/skaters/covariance/bufhuber.py'),\n", + " (1677.3680290493332,\n", + " 'buf_sk_glcv_pcov_d0_n100',\n", + " 'https://github.com/microprediction/precise/blob/main/precise/skaters/covariance/bufsk.py'),\n", + " (1608.642726781999,\n", + " 'buf_huber_pcov_d0_a1_b2_n200',\n", + " 'https://github.com/microprediction/precise/blob/main/precise/skaters/covariance/bufhuber.py'),\n", + " (1605.385624256439,\n", + " 'buf_emp_pcov_d0_n100',\n", + " 'https://github.com/microprediction/precise/blob/main/precise/skaters/covariance/bufemp.py')]}\n" + ] + } + ] + } + ] +} diff --git a/requirements.txt b/requirements.txt index 24ce15ab..a959084a 100644 --- a/requirements.txt +++ b/requirements.txt @@ -1 +1,12 @@ numpy +momentum>=0.2.7 +kmeans1d +scikit-learn +pandas_datareader +pandas +pyportfolioopt +scipy +tomark +collinearity +yfinance +getjson diff --git a/schur_regression.ipynb b/schur_regression.ipynb new file mode 100644 index 00000000..0aabed27 --- /dev/null +++ b/schur_regression.ipynb @@ -0,0 +1,999 @@ +{ + "nbformat": 4, + "nbformat_minor": 0, + "metadata": { + "colab": { + "provenance": [], + "authorship_tag": "ABX9TyO77TLMelJMKiGB+oPcbHUr", + "include_colab_link": true + }, + "kernelspec": { + "name": "python3", + "display_name": "Python 3" + }, + "language_info": { + "name": "python" + } + }, + "cells": [ + { + "cell_type": "markdown", + "metadata": { + "id": "view-in-github", + "colab_type": "text" + }, + "source": [ + "\"Open" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "YjKZY6bcVe7J" + }, + "outputs": [], + "source": [ + "\n", + "!pip install --upgrade setuptools\n", + "!pip install --upgrade wheel\n", + "!pip install --upgrade ecos # <--- Try conda install ecos if this fails\n", + "!pip install --upgrade osqp # <-- Can be tricky on some systems see https://github.com/cvxpy/cvxpy/issues/1190#issuecomment-994613793\n", + "!pip install --upgrade pyportfolioopt # <--- Skip if you don't plan to use it\n", + "!pip install --upgrade riskparityportfolio\n", + "!pip install --upgrade scipy\n", + "!pip install --upgrade precise" + ] + }, + { + "cell_type": "markdown", + "source": [ + "# Illustrates how Schur Portfolio Theory can be used for regression" + ], + "metadata": { + "id": "WyX1KwPXZz4e" + } + }, + { + "cell_type": "code", + "source": [ + "!pip install cvxpy" + ], + "metadata": { + "id": "fUyx9pIJpus2" + }, + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "code", + "source": [ + "import numpy as np\n", + "import cvxpy as cp\n", + "\n", + "# Define Q (covariance matrix) and b (expected returns)\n", + "Q = np.array([[0.04, 0.006, 0.004], [0.006, 0.09, 0.006], [0.004, 0.006, 0.025]])\n", + "b = np.array([0.10, 0.12, 0.15])\n", + "\n", + "# Analytical approach\n", + "def analytical_port_b(Q, b):\n", + " Q_inv = np.linalg.inv(Q)\n", + " lambda_val = 2 / (b.T @ Q_inv @ b)\n", + " w = (lambda_val / 2) * Q_inv @ b\n", + " return w\n", + "\n", + "def analytical_port_1(Q):\n", + " \"\"\"\n", + " Special case where b is vector of ones\n", + " \"\"\"\n", + " n = Q.shape[0]\n", + " v = np.ones(shape=(n,))\n", + " return analytical_port_b(Q=Q, b=v)\n", + "\n", + "\n", + "def analytical_port_b_alternative(Q, b):\n", + " \"\"\"\n", + " Use a change of coordinate to reduce to special case analytical_port_1\n", + " \"\"\"\n", + " Qb = Q / np.outer(b,b)\n", + " w = analytical_port_1(Qb)\n", + " return w / b\n", + "\n", + "\n", + "# Example covariance matrix Q and vector b\n", + "Q = np.array([[0.04, 0.006, 0.004], [0.006, 0.09, 0.006], [0.004, 0.006, 0.025]])\n", + "b = np.array([0.10, 0.12, 0.15])\n", + "\n", + "# Calculate weights using both methods\n", + "w_original = analytical_port_b(Q, b)\n", + "w_alternative = analytical_port_b_alternative(Q, b)\n", + "\n", + "# Comparing the results\n", + "comparison_result = np.allclose(w_original, w_alternative, atol=1e-6)\n", + "if not comparison_result:\n", + " print({'w_original':w_original,\n", + " 'w_alternative':w_alternative})\n", + "else:\n", + " print('Hoorah')\n", + "\n", + "\n", + "def cvxpy_port_1(Q):\n", + " \"\"\"\n", + " Special case where b is vector of ones\n", + " \"\"\"\n", + " n = Q.shape[0]\n", + " v = np.ones(shape=(n,))\n", + " return cvxpy_port_b(Q=Q, b=v)\n", + "\n", + "\n", + "\n", + "# Using cvxpy for comparison\n", + "def cvxpy_port_b(Q, b):\n", + " n = Q.shape[0]\n", + " w = cp.Variable(n)\n", + " objective = cp.Minimize(cp.quad_form(w, Q))\n", + " constraints = [cp.sum(cp.multiply(w, b)) == 1]\n", + " problem = cp.Problem(objective, constraints)\n", + " problem.solve()\n", + " return w.value\n", + "\n", + "# Calculate weights using both methods\n", + "w_analytical = analytical_port_b(Q, b)\n", + "w_cvxpy = cvxpy_port_b(Q, b)\n", + "\n", + "# Output the results and comparison\n", + "print(\"Analytical weights:\", w_analytical)\n", + "print(\"CVXPY weights:\", w_cvxpy)\n", + "print(\"Are the weights close?\", np.allclose(w_analytical, w_cvxpy, atol=1e-6))" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "gN5SEGRbp3xP", + "outputId": "f796d65a-1bf5-46b4-a575-b0472c4ec0c0" + }, + "execution_count": 1, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "Hoorah\n", + "Analytical weights: [1.64284911 0.7614118 4.96230449]\n", + "CVXPY weights: [1.64284911 0.7614118 4.96230449]\n", + "Are the weights close? True\n" + ] + } + ] + }, + { + "cell_type": "code", + "source": [ + "from precise.skaters.portfoliostatic.allstaticport import LONG_PORT\n", + "import numpy as np\n", + "from sklearn.linear_model import LinearRegression\n", + "from sklearn.preprocessing import StandardScaler\n", + "import sklearn.metrics as metrics\n", + "from scipy.optimize import minimize\n", + "\n", + "def estimate_quadratic_form_with_b(X, y):\n", + " \"\"\"\n", + " Robustly estimate the expression (X^T y)^T (X^T X)^{-1} (X^T y) for given X and y.\n", + "\n", + " Parameters:\n", + " - X: The matrix X.\n", + " - y: The vector y.\n", + "\n", + " Returns:\n", + " - The estimate of the expression.\n", + " \"\"\"\n", + " # Compute b = X^T y\n", + " b = X.T @ y\n", + "\n", + " # Compute Q = X^T X and its pseudo-inverse\n", + " Q = X.T @ X\n", + " Q_pinv = np.linalg.pinv(Q)\n", + "\n", + " # Compute and return the expression\n", + " return b.T @ Q_pinv @ b\n", + "\n", + "\n", + "def port_regression_special(X, y, port):\n", + " b = X.T @ y\n", + " Q = X.T @ X\n", + " if False:\n", + " w = analytical_port_b(Q = Q, b=b)\n", + " else:\n", + " Qb = Q / (b @ b.T )\n", + " w = port(Q) / b\n", + "\n", + " inv_nu = b.T @ np.linalg.pinv(Q) @ b\n", + " beta = inv_nu * w\n", + " return beta\n", + "\n", + "\n", + "def squared_error(lambda_, X, y, beta):\n", + " \"\"\"\n", + " Calculate the squared error of the predictions with rescaled coefficients.\n", + " \"\"\"\n", + " predictions = X @ (beta * lambda_)\n", + " return np.sum((y - predictions) ** 2)\n", + "\n", + "\n", + "def find_optimal_lambda(X, y, beta):\n", + " \"\"\"\n", + " Find the lambda that minimizes the squared error.\n", + " \"\"\"\n", + " result = minimize(squared_error, x0=1.0, args=(X, y, beta))\n", + " return result.x[0]\n", + "\n", + "\n", + "def port_regression(X,y, port, line_search=True):\n", + " \"\"\"\n", + "\n", + " Demonstrates how to use any portfolio method for regression\n", + "\n", + " \"\"\"\n", + " X = X - np.mean(X, axis=0)\n", + " std_devs = np.std(X, axis=0)\n", + " std_devs[std_devs ==0] = 1\n", + " X_scaled = X / std_devs\n", + "\n", + " beta_scaled = port_regression_special(X_scaled, y, port)\n", + "\n", + " beta = beta_scaled / std_devs\n", + "\n", + " if line_search:\n", + " lambda_ = find_optimal_lambda(X_scaled, y, beta)\n", + " beta = beta*lambda_\n", + "\n", + " return beta\n", + "\n", + "\n", + "def schur_regression(X,y):\n", + " from precise.skaters.portfoliostatic.schurport import schur_unit_weak_s5_g100_port as s5\n", + " return port_regression(X=X, y=y, port=s5)\n", + "\n", + "def hrp_regression(X,y):\n", + " from precise.skaters.portfoliostatic.hrpport import hrp_diag_diag_s5_long_port as h5\n", + " return port_regression(X=X, y=y, port=h5)\n", + "\n", + "def unit_port_pure(cov):\n", + " return unitary_from_pre(np.linalg.inv(cov))\n", + "\n", + "def unitary_from_pre(pre, phi=1.0):\n", + " \"\"\" Signed min var portfolio summing to unity \"\"\"\n", + " # No optimization required\n", + " n_dim = np.shape(pre)[1]\n", + " wones = np.ones(shape=(n_dim, 1))\n", + " from precise.skaters.locationutil.vectorfunctions import normalize\n", + " w = normalize(np.squeeze(np.matmul(pre, wones)))\n", + " sum_w = np.sum(w)\n", + " if abs(sum_w-1)<1e-4:\n", + " return np.array(w)\n", + " else:\n", + " print('Warning. Unitary portfolio failed.')\n", + " return np.ones_like(w)/n_dim\n", + "\n", + "\n", + "def unit_regression(X,y):\n", + " from precise.skaters.portfoliostatic.unitport import unit_port as up\n", + " return port_regression_special(X=X, y=y, port=unit_port_pure)\n", + "\n", + "import numpy as np\n", + "\n", + "def scaled_regression(X,y):\n", + " \"\"\"\n", + " OLS with scaling\n", + " \"\"\"\n", + " X = X - np.mean(X, axis=0)\n", + " std_devs = np.std(X, axis=0)\n", + " std_devs[std_devs ==0] = 1\n", + " X_scaled = X / std_devs\n", + " beta_scaled = np.linalg.inv(X_scaled.T @ X_scaled) @ X_scaled.T @ y\n", + " beta = beta_scaled / std_devs\n", + " return beta\n", + "\n", + "def test_scaled_regression():\n", + " np.random.seed(0)\n", + " X = np.random.randn(1000, 50)\n", + " beta_true = np.array([1, 1, 1, 1, -1, 2, 2, 2, 2, 2]*5)\n", + " y = X @ beta_true + np.random.randn(1000) * 0.5\n", + "\n", + " beta_custom = scaled_regression(X, y)\n", + " beta_port = unit_regression(X, y)\n", + " beta_hrp = hrp_regression(X,y)\n", + " beta_schur = schur_regression(X,y)\n", + "\n", + " scaler = StandardScaler()\n", + " X_scaled = scaler.fit_transform(X)\n", + " model = LinearRegression(fit_intercept=False)\n", + " model.fit(X_scaled, y)\n", + " beta_sklearn = model.coef_ / scaler.scale_\n", + "\n", + " print(\"Custom implementation coefficients:\", beta_custom)\n", + " print(\"Port regression special coefficients:\", beta_port)\n", + " print(\"scikit-learn implementation coefficients:\", beta_sklearn)\n", + " print(\"Schur coefficients:\", beta_schur)\n", + " print('HRP coefficients:', beta_hrp)\n", + "\n", + " assert np.allclose(beta_custom, beta_sklearn, atol=1e-6), \"The coefficients do not match closely enough.\"\n", + "\n", + " print(\"Test passed: The coefficients match closely between the custom implementation, port_regression_special, and scikit-learn's.\")\n", + "\n", + "test_scaled_regression()" + ], + "metadata": { + "id": "8B31yjVTZkLl", + "colab": { + "base_uri": "https://localhost:8080/" + }, + "outputId": "9f36141b-e01c-470f-ede9-66afd4719434" + }, + "execution_count": 2, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "Custom implementation coefficients: [ 1.00394404 1.00101244 0.98604402 0.99411553 -1.00779756 2.02206025\n", + " 1.99890455 2.01712081 1.99839708 2.02811794 0.98476052 1.01679591\n", + " 1.02976976 0.9915431 -0.96640799 1.99517801 1.99337859 2.01313501\n", + " 1.987767 2.0096497 0.98144382 1.00055326 1.00462235 0.98135243\n", + " -0.97076441 1.99569078 1.97222357 2.02214309 2.01916881 2.0046913\n", + " 0.98070427 0.99183814 1.01016456 0.98930339 -1.00618418 1.99341331\n", + " 2.02156476 2.0054314 2.00081339 1.97143532 1.00290907 0.9917496\n", + " 0.99776909 0.97276666 -1.00624605 2.0166339 2.01275879 1.98304077\n", + " 2.00271798 2.0072813 ]\n", + "Port regression special coefficients: [ 4.46338197 19.54082224 2.43600167 0.97207529 -1.95083178 2.50991688\n", + " 0.72087277 0.9779235 2.12461801 1.80481131 2.28203133 1.78702586\n", + " 1.76189318 3.14697399 -2.72344694 0.93155611 0.82338879 1.67662111\n", + " 1.826796 1.2175634 2.01600797 2.03934161 1.94067613 0.88730001\n", + " -2.77285038 2.85275244 0.61859678 0.97036272 1.69154151 1.38391542\n", + " 1.0448419 1.66509204 1.21889236 1.70378682 -2.98451065 0.84923986\n", + " 2.29483783 1.28563161 0.72145235 0.89240931 2.13951342 2.87589934\n", + " 3.06024907 4.11702605 -2.62540832 2.06415536 1.40117481 1.97646201\n", + " 1.39261067 2.24386753]\n", + "scikit-learn implementation coefficients: [ 1.00394404 1.00101244 0.98604402 0.99411553 -1.00779756 2.02206025\n", + " 1.99890455 2.01712081 1.99839708 2.02811794 0.98476052 1.01679591\n", + " 1.02976976 0.9915431 -0.96640799 1.99517801 1.99337859 2.01313501\n", + " 1.987767 2.0096497 0.98144382 1.00055326 1.00462235 0.98135243\n", + " -0.97076441 1.99569078 1.97222357 2.02214309 2.01916881 2.0046913\n", + " 0.98070427 0.99183814 1.01016456 0.98930339 -1.00618418 1.99341331\n", + " 2.02156476 2.0054314 2.00081339 1.97143532 1.00290907 0.9917496\n", + " 0.99776909 0.97276666 -1.00624605 2.0166339 2.01275879 1.98304077\n", + " 2.00271798 2.0072813 ]\n", + "Schur coefficients: [ 1.5724316 3.4613774 1.05503369 0.56880521 -1.10433689 0.78972225\n", + " 0.34087852 0.2949954 0.22942507 0.56448177 0.813367 0.74572824\n", + " 0.86451896 1.09108956 -0.71425911 0.5432924 0.31658495 0.60288936\n", + " 0.6883931 0.41828572 0.79291325 1.0102172 0.81083353 0.55257468\n", + " -2.93601587 0.98144051 0.3499671 0.31606223 0.51076867 0.48559068\n", + " 0.31573976 0.90073354 0.49938143 0.73320764 -2.01331845 0.31646474\n", + " 0.44692304 0.4631825 0.26836566 0.34236191 0.70106617 1.19332079\n", + " 0.72649329 1.14037177 -1.27290563 0.47593914 0.26566713 0.33867174\n", + " 0.49284868 0.68593187]\n", + "HRP coefficients: [ 1.32759671 4.34753561 0.84332339 0.76193132 -0.90503266 0.69012824\n", + " 0.40914892 0.47291593 0.63387188 0.45705633 1.1588359 0.74984858\n", + " 0.99657267 1.18711717 -1.96417688 0.44103879 0.57717381 0.50802365\n", + " 0.91535127 0.46237184 0.84308098 0.87086725 0.90113741 0.55004213\n", + " -1.26308378 1.03507658 0.2143655 0.83844186 0.39894913 0.81944263\n", + " 0.57712489 1.32072232 0.4815809 1.11317623 -1.24730975 0.67372384\n", + " 0.46458964 0.70489529 0.23692178 0.54816551 0.4364378 1.82245703\n", + " 0.7926926 2.18482109 -0.85577614 0.98550698 0.42667327 0.80393637\n", + " 0.38962683 0.99493901]\n", + "Test passed: The coefficients match closely between the custom implementation, port_regression_special, and scikit-learn's.\n" + ] + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "## Testing out of sample" + ], + "metadata": { + "id": "MUUZBs-ZYKGZ" + } + }, + { + "cell_type": "code", + "source": [ + "\n", + "import numpy as np\n", + "from sklearn.linear_model import LinearRegression, Ridge, Lasso\n", + "from sklearn.preprocessing import StandardScaler\n", + "from sklearn.metrics import mean_squared_error\n", + "from scipy.optimize import nnls\n", + "from sklearn.datasets import make_spd_matrix\n", + "\n", + "def nnls_regression(X, y):\n", + " beta_nnls, rnorm = nnls(X, y)\n", + " return beta_nnls\n", + "\n", + "def test_scaled_regression():\n", + " np.random.seed(0)\n", + " # Generate correlated X\n", + " n_samples = 4000\n", + " n_features = 20\n", + " n_informative = 20\n", + " beta_true = np.concatenate([\n", + " np.random.normal(loc=0.0, scale=0.1, size=n_features-n_informative),\n", + " np.random.normal(loc=1.5, scale=0.1, size=n_informative)\n", + " ])\n", + "\n", + " # Create a covariance matrix\n", + " n_samples = 400\n", + "\n", + "\n", + " # Initialize the covariance matrix\n", + " cov_matrix = np.zeros((n_features, n_features))\n", + "\n", + " # Fill the covariance matrix with values that decrease with distance\n", + " n_blocks = 1 # Define the number of blocks\n", + "\n", + " # Ensure each block has an equal number of features for simplicity\n", + " block_size = n_features // n_blocks\n", + " standard_deviations = np.linspace(0.1, 0.1, n_features)\n", + "\n", + " # Initialize the covariance matrix\n", + " cov_matrix = make_spd_matrix(n_features)\n", + " cov_matrix = (cov_matrix + cov_matrix.T) / 2\n", + "\n", + "\n", + " # Generate X data with hierarchical covariance structure\n", + " X = np.random.multivariate_normal(mean=np.zeros(n_features), cov=cov_matrix, size=n_samples)\n", + "\n", + " # Ensure the matrix is symmetric and positive-definite\n", + " np.fill_diagonal(cov_matrix, standard_deviations**2)\n", + " cov_matrix = (cov_matrix + cov_matrix.T) / 2\n", + " X = np.random.multivariate_normal(mean=np.zeros(n_features), cov=cov_matrix, size=n_samples)\n", + "\n", + "\n", + " # Generate y with some noise\n", + " y = X @ beta_true + np.random.randn(n_samples) * 5.\n", + "\n", + " # Split the data into training and testing sets\n", + " train_proportion = 0.05\n", + " split_idx = int(n_samples * train_proportion)\n", + " X_train, X_test = X[:split_idx], X[split_idx:]\n", + " y_train, y_test = y[:split_idx], y[split_idx:]\n", + "\n", + " # Fit models on the training set\n", + " beta_custom = scaled_regression(X_train, y_train)\n", + " beta_port = unit_regression(X_train, y_train)\n", + " beta_hrp = hrp_regression(X_train, y_train)\n", + " beta_schur = schur_regression(X_train, y_train)\n", + " beta_nnls = nnls_regression(X_train, y_train)\n", + "\n", + " # Regularized regressions\n", + " ridge_model = Ridge(alpha=1.0, fit_intercept=False)\n", + " ridge_model.fit(X_train, y_train)\n", + " beta_ridge = ridge_model.coef_\n", + "\n", + " lasso_model = Lasso(alpha=0.1, fit_intercept=False)\n", + " lasso_model.fit(X_train, y_train)\n", + " beta_lasso = lasso_model.coef_\n", + "\n", + " # Scale X for comparison with scikit-learn\n", + " scaler = StandardScaler()\n", + " X_train_scaled = scaler.fit_transform(X_train)\n", + " model = LinearRegression(fit_intercept=False)\n", + " model.fit(X_train_scaled, y_train)\n", + " beta_sklearn = model.coef_ / scaler.scale_\n", + "\n", + " # Evaluate model performance on the test set\n", + " y_pred_sklearn = X_test @ beta_sklearn\n", + " y_pred_custom = X_test @ beta_custom\n", + " y_pred_port = X_test @ beta_port\n", + " y_pred_hrp = X_test @ beta_hrp\n", + " y_pred_schur = X_test @ beta_schur\n", + " y_pred_nnls = X_test @ beta_nnls\n", + "\n", + " # Calculate and print out-of-sample mean squared error\n", + " mse_zero = mean_squared_error(y_test,np.zeros_like(y_test))\n", + " mse_custom = mean_squared_error(y_test, y_pred_custom)\n", + " mse_sklearn = mean_squared_error(y_test, y_pred_sklearn)\n", + " mse_port = mean_squared_error(y_test, y_pred_port)\n", + " mse_hrp = mean_squared_error(y_test, y_pred_hrp)\n", + " mse_schur = mean_squared_error(y_test, y_pred_schur)\n", + " mse_nnls = mean_squared_error(y_test, y_pred_nnls)\n", + " mse_ridge = mean_squared_error(y_test, X_test @ beta_ridge)\n", + " mse_lasso = mean_squared_error(y_test, X_test @ beta_lasso)\n", + "\n", + "\n", + " mse_dict = {\n", + " 'Sklearn lin reg ': mse_sklearn,\n", + " 'Zero prediction ': mse_zero,\n", + " 'Ridge ': mse_ridge,\n", + " 'Lasso ': mse_lasso,\n", + " 'Custom Implementation': mse_custom,\n", + " 'Port Regression. ': mse_port,\n", + " 'HRP Regression. ': mse_hrp,\n", + " 'Schur Regression. ': mse_schur,\n", + " 'NNLS Regression. ': mse_nnls\n", + " }\n", + "\n", + " # Sort the MSE values from lowest to highest\n", + " sorted_mse = sorted(mse_dict.items(), key=lambda item: item[1])\n", + "\n", + " # Print the sorted MSE values\n", + " print(\"MSE values sorted from lowest to highest:\")\n", + " for name, mse in sorted_mse:\n", + " print(f\"{name} MSE: {mse}\")\n", + "\n", + "\n", + " # Add assertions or comparisons as needed, for example:\n", + " if not np.allclose(beta_custom, beta_sklearn, atol=1e-4):\n", + " print(\"The coefficients do not match closely enough between sklearn and custom regression\")\n", + "\n", + " print(\"Test passed: The coefficients match closely between the custom implementation and scikit-learn's.\")\n", + "\n", + "\n", + " import matplotlib.pyplot as plt\n", + " import seaborn as sns\n", + " plt.figure(figsize=(10, 8))\n", + " corr_matrix = np.zeros_like(cov_matrix)\n", + "\n", + " # Convert covariance matrix to correlation matrix\n", + " for i in range(n_features):\n", + " for j in range(n_features):\n", + " corr_matrix[i, j] = cov_matrix[i, j] / (np.sqrt(cov_matrix[i, i] * cov_matrix[j, j]))\n", + "\n", + " sns.heatmap(corr_matrix, cmap='coolwarm', cbar_kws={'label': 'Correlation'})\n", + " plt.title('Covariance Matrix')\n", + " plt.xlabel('Feature Index')\n", + " plt.ylabel('Feature Index')\n", + " plt.show()\n", + "\n", + "\n", + "# Call the test function\n", + "test_scaled_regression()\n" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 961 + }, + "id": "cD3IWsejZlCe", + "outputId": "4c6605c8-5bea-434a-f71a-9f9c1e56b972" + }, + "execution_count": 3, + "outputs": [ + { + "output_type": "stream", + "name": "stderr", + "text": [ + ":48: RuntimeWarning: covariance is not symmetric positive-semidefinite.\n", + " X = np.random.multivariate_normal(mean=np.zeros(n_features), cov=cov_matrix, size=n_samples)\n" + ] + }, + { + "output_type": "stream", + "name": "stdout", + "text": [ + "MSE values sorted from lowest to highest:\n", + "Ridge MSE: 69.6753566554431\n", + "NNLS Regression. MSE: 81.81922397054139\n", + "Lasso MSE: 100.12337380064562\n", + "Zero prediction MSE: 113.50160175440578\n", + "Schur Regression. MSE: 130.02694734922122\n", + "HRP Regression. MSE: 134.14715903964054\n", + "Sklearn lin reg MSE: 398.2385706677219\n", + "Port Regression. MSE: 2376.887906890707\n", + "Custom Implementation MSE: 111077.8474894728\n", + "The coefficients do not match closely enough between sklearn and custom regression\n", + "Test passed: The coefficients match closely between the custom implementation and scikit-learn's.\n" + ] + }, + { + "output_type": "display_data", + "data": { + "text/plain": [ + "
" + ], + "image/png": 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\n" + }, + "metadata": {} + } + ] + }, + { + "cell_type": "code", + "source": [ + "import numpy as np\n", + "from sklearn.linear_model import LinearRegression, Ridge, Lasso\n", + "from sklearn.preprocessing import StandardScaler\n", + "from sklearn.metrics import mean_squared_error\n", + "from sklearn.datasets import make_spd_matrix\n", + "from scipy.optimize import nnls\n", + "# Import the precise package or specific functions if necessary\n", + "# from precise import \n", + "\n", + "def nnls_regression(X, y):\n", + " beta_nnls, rnorm = nnls(X, y)\n", + " return beta_nnls\n", + "\n", + "\n", + "def test_scaled_regression():\n", + " np.random.seed(0)\n", + " # Setup and data generation as specified in your script\n", + "\n", + " # Generate correlated X\n", + " n_samples = 50\n", + " train_proportion = 0.5\n", + " n_features = 20\n", + " n_informative = 5\n", + " beta_true = np.concatenate([\n", + " np.random.normal(loc=0.0, scale=0.1, size=n_features-n_informative),\n", + " np.random.normal(loc=1.0, scale=0.5, size=n_informative)\n", + " ])\n", + "\n", + "\n", + " # Initialize the covariance matrix\n", + " cov_matrix = np.zeros((n_features, n_features))\n", + "\n", + " # Initialize the covariance matrix\n", + " cov_matrix = make_spd_matrix(n_features)\n", + " cov_matrix = (cov_matrix + cov_matrix.T) / 2\n", + "\n", + "\n", + " # Generate X data with hierarchical covariance structure\n", + " X = np.random.multivariate_normal(mean=np.zeros(n_features), cov=cov_matrix, size=n_samples)\n", + "\n", + "\n", + " # Generate y with some noise\n", + " y = X @ beta_true + np.random.randn(n_samples) * 5.\n", + "\n", + " # Split the data into training and testing sets\n", + "\n", + " split_idx = int(n_samples * train_proportion)\n", + " X_train, X_test = X[:split_idx], X[split_idx:]\n", + " y_train, y_test = y[:split_idx], y[split_idx:]\n", + "\n", + "\n", + "\n", + " # Placeholder for storing MSE results\n", + " mse_results = {}\n", + "\n", + " # Fit models on the training set\n", + " beta_custom = scaled_regression(X_train, y_train)\n", + " beta_port = unit_regression(X_train, y_train)\n", + " beta_hrp = hrp_regression(X_train, y_train)\n", + " beta_schur = schur_regression(X_train, y_train)\n", + " beta_nnls = nnls_regression(X_train, y_train)\n", + "\n", + " # Regularized regressions\n", + " ridge_model = Ridge(alpha=1.0, fit_intercept=False)\n", + " ridge_model.fit(X_train, y_train)\n", + " beta_ridge = ridge_model.coef_\n", + "\n", + " lasso_model = Lasso(alpha=0.1, fit_intercept=False)\n", + " lasso_model.fit(X_train, y_train)\n", + " beta_lasso = lasso_model.coef_\n", + "\n", + " # Scale X for comparison with scikit-learn\n", + " scaler = StandardScaler()\n", + " X_train_scaled = scaler.fit_transform(X_train)\n", + " model = LinearRegression(fit_intercept=False)\n", + " model.fit(X_train_scaled, y_train)\n", + " beta_sklearn = model.coef_ / scaler.scale_\n", + "\n", + " # Evaluate model performance on the test set\n", + " y_pred_sklearn = X_test @ beta_sklearn\n", + " y_pred_custom = X_test @ beta_custom\n", + " y_pred_port = X_test @ beta_port\n", + " y_pred_hrp = X_test @ beta_hrp\n", + " y_pred_schur = X_test @ beta_schur\n", + " y_pred_nnls = X_test @ beta_nnls\n", + "\n", + " # Calculate and print out-of-sample mean squared error\n", + " mse_zero = mean_squared_error(y_test,np.zeros_like(y_test))\n", + " mse_custom = mean_squared_error(y_test, y_pred_custom)\n", + " mse_sklearn = mean_squared_error(y_test, y_pred_sklearn)\n", + " mse_port = mean_squared_error(y_test, y_pred_port)\n", + " mse_hrp = mean_squared_error(y_test, y_pred_hrp)\n", + " mse_schur = mean_squared_error(y_test, y_pred_schur)\n", + " mse_nnls = mean_squared_error(y_test, y_pred_nnls)\n", + " mse_ridge = mean_squared_error(y_test, X_test @ beta_ridge)\n", + " mse_lasso = mean_squared_error(y_test, X_test @ beta_lasso)\n", + "\n", + "\n", + " mse_results = {\n", + " 'Sklearn lin reg ': mse_sklearn,\n", + " 'Zero prediction ': mse_zero,\n", + " 'Ridge ': mse_ridge,\n", + " 'Lasso ': mse_lasso,\n", + " 'Custom Implementation': mse_custom,\n", + " 'Port Regression. ': mse_port,\n", + " 'HRP Regression. ': mse_hrp,\n", + " 'Schur Regression. ': mse_schur,\n", + " 'NNLS Regression. ': mse_nnls\n", + " }\n", + "\n", + "\n", + " # Get the list of all port methods from precise\n", + " from precise.skaters.portfoliostatic.allstaticport import PORT as port_functions\n", + "\n", + " for k, port_function in enumerate(port_functions):\n", + " print(port_function.__name__)\n", + " # Run regression with the current port function\n", + " beta_port = port_regression(X_train, y_train, port_function)\n", + "\n", + " # Evaluate model performance on the test set\n", + " y_pred_port = X_test @ beta_port\n", + " mse_port = mean_squared_error(y_test, y_pred_port)\n", + "\n", + " # Store the MSE result\n", + " mse_results[port_function.__name__] = mse_port\n", + "\n", + " if (k % 20 ==1) or k==len(port_functions)-1:\n", + " # Sort and display MSE results from all regressions\n", + " sorted_mse = sorted(mse_results.items(), key=lambda item: item[1])\n", + " print(' ')\n", + " print(' ')\n", + " print(\"MSE values sorted from lowest to highest:\")\n", + " for name, mse in sorted_mse:\n", + " print(f\"{name} MSE: {mse}\")\n", + "\n", + "# Call the test function\n", + "test_scaled_regression()\n", + "\n", + "print('Done')" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "QTx6InoA4jWH", + "outputId": "b0ee22ee-1be2-49ad-9d99-042426b809ca" + }, + "execution_count": 4, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "ppo_sharpe_long_port\n", + "ppo_vol_long_port\n", + " \n", + " \n", + "MSE values sorted from lowest to highest:\n", + "HRP Regression. MSE: 20.529032445089566\n", + "ppo_sharpe_long_port MSE: 21.027663141648112\n", + "ppo_vol_long_port MSE: 21.027663141648112\n", + "Schur Regression. MSE: 21.468808596555878\n", + "Zero prediction MSE: 22.084882881358794\n", + "Ridge MSE: 23.08802200551705\n", + "Lasso MSE: 26.324642233612632\n", + "NNLS Regression. MSE: 28.993185344984393\n", + "Custom Implementation MSE: 84.5315967717654\n", + "Sklearn lin reg MSE: 84.53159677176784\n", + "Port Regression. MSE: 2910.8321083339983\n", + "ppo_quad_long_port\n", + "weak_long_port\n", + "weak_h125_long_port\n", + "weak_h150_long_port\n", + "weak_h200_long_port\n", + "weak_h400_long_port\n", + "diag_long_port\n", + "hrp_weak_weak_s5_long_port\n", + "hrp_diag_diag_s5_long_port\n", + "hrp_diag_weak_s5_long_port\n", + "hrp_weak_diag_s5_long_port\n", + "schur_diag_diag_s5_g100_long_port\n", + "schur_weak_weak_s5_g100_long_port\n", + "schur_diag_diag_s5_g050_long_port\n", + "schur_weak_weak_s5_g050_long_port\n", + "schur_weak_diag_s5_g100_long_port\n", + "schur_weak_diag_s5_g050_long_port\n", + "schur_weak_weak_s2_g100_long_port\n", + "schur_weak_weak_s2_g050_long_port\n", + "schur_weak_weak_s2_gcombo_long_port\n", + " \n", + " \n", + "MSE values sorted from lowest to highest:\n", + "schur_weak_weak_s2_gcombo_long_port MSE: 19.134836718960184\n", + "schur_weak_weak_s5_g050_long_port MSE: 19.311820986394476\n", + "schur_weak_weak_s5_g100_long_port MSE: 19.7675871916133\n", + "schur_weak_weak_s2_g050_long_port MSE: 19.76821580863897\n", + "schur_weak_diag_s5_g100_long_port MSE: 19.768538063518232\n", + "schur_weak_weak_s2_g100_long_port MSE: 19.789400307404755\n", + "hrp_weak_diag_s5_long_port MSE: 19.858717030060003\n", + "schur_weak_diag_s5_g050_long_port MSE: 19.864045764936314\n", + "diag_long_port MSE: 20.13437928466365\n", + "hrp_weak_weak_s5_long_port MSE: 20.434951749560117\n", + "HRP Regression. MSE: 20.529032445089566\n", + "hrp_diag_diag_s5_long_port MSE: 20.634545367699005\n", + "weak_long_port MSE: 20.87391134278893\n", + "weak_h125_long_port MSE: 20.87391134278893\n", + "weak_h150_long_port MSE: 20.87391134278893\n", + "weak_h200_long_port MSE: 20.87391134278893\n", + "weak_h400_long_port MSE: 20.87391134278893\n", + "schur_diag_diag_s5_g050_long_port MSE: 20.911259752347476\n", + "hrp_diag_weak_s5_long_port MSE: 20.988040934668785\n", + "ppo_sharpe_long_port MSE: 21.027663141648112\n", + "ppo_vol_long_port MSE: 21.027663141648112\n", + "ppo_quad_long_port MSE: 21.027663141648112\n", + "schur_diag_diag_s5_g100_long_port MSE: 21.3061222194207\n", + "Schur Regression. MSE: 21.468808596555878\n", + "Zero prediction MSE: 22.084882881358794\n", + "Ridge MSE: 23.08802200551705\n", + "Lasso MSE: 26.324642233612632\n", + "NNLS Regression. MSE: 28.993185344984393\n", + "Custom Implementation MSE: 84.5315967717654\n", + "Sklearn lin reg MSE: 84.53159677176784\n", + "Port Regression. MSE: 2910.8321083339983\n", + "schur_weak_weak_s5_gcombo_long_port\n", + "schur_diag_diag_s2_gcombo_long_port\n", + "schur_diag_diag_s5_gcombo_long_port\n", + "schur_diag_weak_s5_gcombo_long_port\n", + "schur_weak_diag_s5_gcombo_long_port\n", + "equal_long_port\n", + "rp_port_p100\n", + "rp_port_p70\n", + "rp_port_p80\n", + "rp_port_p90\n", + "rp_port_p40\n", + "rp_port_p50\n", + "rp_port_p59\n", + "rp_port_p60\n", + "rp_port_p61\n", + "rp_port_p10\n", + "rp_port_p20\n", + "rp_port_p30\n", + "rp_port_p0\n", + "ppo_sharpe_port\n", + " \n", + " \n", + "MSE values sorted from lowest to highest:\n", + "schur_weak_weak_s5_gcombo_long_port MSE: 18.759812868684357\n", + "schur_weak_weak_s2_gcombo_long_port MSE: 19.134836718960184\n", + "rp_port_p100 MSE: 19.226872311624806\n", + "schur_weak_weak_s5_g050_long_port MSE: 19.311820986394476\n", + "rp_port_p90 MSE: 19.314999300031683\n", + "rp_port_p80 MSE: 19.395374542692107\n", + "rp_port_p70 MSE: 19.469665198245412\n", + "rp_port_p61 MSE: 19.53411136975739\n", + "rp_port_p60 MSE: 19.541264829187686\n", + "rp_port_p59 MSE: 19.548432189547736\n", + "rp_port_p50 MSE: 19.61426049430657\n", + "rp_port_p40 MSE: 19.69286045420432\n", + "schur_weak_weak_s5_g100_long_port MSE: 19.7675871916133\n", + "schur_weak_weak_s2_g050_long_port MSE: 19.76821580863897\n", + "schur_weak_diag_s5_g100_long_port MSE: 19.768538063518232\n", + "schur_weak_diag_s5_gcombo_long_port MSE: 19.776074595001926\n", + "rp_port_p30 MSE: 19.781259289768762\n", + "schur_weak_weak_s2_g100_long_port MSE: 19.789400307404755\n", + "hrp_weak_diag_s5_long_port MSE: 19.858717030060003\n", + "schur_weak_diag_s5_g050_long_port MSE: 19.864045764936314\n", + "rp_port_p20 MSE: 19.88351999811004\n", + "rp_port_p10 MSE: 20.002598843541012\n", + "rp_port_p0 MSE: 20.134379284333324\n", + "diag_long_port MSE: 20.13437928466365\n", + "equal_long_port MSE: 20.134379284959596\n", + "schur_diag_weak_s5_gcombo_long_port MSE: 20.26218140424147\n", + "schur_diag_diag_s2_gcombo_long_port MSE: 20.284525637758012\n", + "hrp_weak_weak_s5_long_port MSE: 20.434951749560117\n", + "HRP Regression. MSE: 20.529032445089566\n", + "schur_diag_diag_s5_gcombo_long_port MSE: 20.607364656218515\n", + "hrp_diag_diag_s5_long_port MSE: 20.634545367699005\n", + "weak_long_port MSE: 20.87391134278893\n", + "weak_h125_long_port MSE: 20.87391134278893\n", + "weak_h150_long_port MSE: 20.87391134278893\n", + "weak_h200_long_port MSE: 20.87391134278893\n", + "weak_h400_long_port MSE: 20.87391134278893\n", + "schur_diag_diag_s5_g050_long_port MSE: 20.911259752347476\n", + "hrp_diag_weak_s5_long_port MSE: 20.988040934668785\n", + "ppo_sharpe_long_port MSE: 21.027663141648112\n", + "ppo_vol_long_port MSE: 21.027663141648112\n", + "ppo_quad_long_port MSE: 21.027663141648112\n", + "schur_diag_diag_s5_g100_long_port MSE: 21.3061222194207\n", + "Schur Regression. MSE: 21.468808596555878\n", + "ppo_sharpe_port MSE: 21.97015533644057\n", + "Zero prediction MSE: 22.084882881358794\n", + "Ridge MSE: 23.08802200551705\n", + "Lasso MSE: 26.324642233612632\n", + "NNLS Regression. MSE: 28.993185344984393\n", + "Custom Implementation MSE: 84.5315967717654\n", + "Sklearn lin reg MSE: 84.53159677176784\n", + "Port Regression. MSE: 2910.8321083339983\n", + "ppo_vol_port\n", + "ppo_quad_port\n", + "hrp_unit_unit_s5_port\n", + "hrp_unit_weak_s5_port\n", + "hrp_unit_diag_s5_port\n", + "schur_unit_unit_s5_g100_port\n", + "schur_unit_unit_s5_g050_port\n", + "unit_port\n", + "unit_port_p000\n", + "unit_port_p010\n", + "unit_port_p020\n", + "unit_port_p030\n", + "unit_port_p040\n", + "unit_port_p050\n", + "unit_port_p060\n", + "unit_port_p070\n", + "unit_port_p080\n", + "unit_port_p090\n", + "unit_port_p100\n", + " \n", + " \n", + "MSE values sorted from lowest to highest:\n", + "schur_weak_weak_s5_gcombo_long_port MSE: 18.759812868684357\n", + "schur_weak_weak_s2_gcombo_long_port MSE: 19.134836718960184\n", + "rp_port_p100 MSE: 19.226872311624806\n", + "schur_weak_weak_s5_g050_long_port MSE: 19.311820986394476\n", + "rp_port_p90 MSE: 19.314999300031683\n", + "rp_port_p80 MSE: 19.395374542692107\n", + "rp_port_p70 MSE: 19.469665198245412\n", + "rp_port_p61 MSE: 19.53411136975739\n", + "rp_port_p60 MSE: 19.541264829187686\n", + "rp_port_p59 MSE: 19.548432189547736\n", + "rp_port_p50 MSE: 19.61426049430657\n", + "rp_port_p40 MSE: 19.69286045420432\n", + "schur_weak_weak_s5_g100_long_port MSE: 19.7675871916133\n", + "schur_weak_weak_s2_g050_long_port MSE: 19.76821580863897\n", + "schur_weak_diag_s5_g100_long_port MSE: 19.768538063518232\n", + "schur_weak_diag_s5_gcombo_long_port MSE: 19.776074595001926\n", + "rp_port_p30 MSE: 19.781259289768762\n", + "schur_weak_weak_s2_g100_long_port MSE: 19.789400307404755\n", + "unit_port_p040 MSE: 19.823230835739455\n", + "unit_port_p030 MSE: 19.828162699950475\n", + "hrp_weak_diag_s5_long_port MSE: 19.858717030060003\n", + "schur_weak_diag_s5_g050_long_port MSE: 19.864045764936314\n", + "unit_port_p050 MSE: 19.875159170302013\n", + "unit_port_p020 MSE: 19.883196093946296\n", + "rp_port_p20 MSE: 19.88351999811004\n", + "hrp_unit_diag_s5_port MSE: 19.95865054505531\n", + "unit_port_p010 MSE: 19.985773527421195\n", + "unit_port_p060 MSE: 19.997947237908228\n", + "rp_port_p10 MSE: 20.002598843541012\n", + "rp_port_p0 MSE: 20.134379284333324\n", + "unit_port_p000 MSE: 20.134379284367704\n", + "diag_long_port MSE: 20.13437928466365\n", + "equal_long_port MSE: 20.134379284959596\n", + "unit_port_p070 MSE: 20.21686340327325\n", + "schur_diag_weak_s5_gcombo_long_port MSE: 20.26218140424147\n", + "schur_diag_diag_s2_gcombo_long_port MSE: 20.284525637758012\n", + "hrp_weak_weak_s5_long_port MSE: 20.434951749560117\n", + "HRP Regression. MSE: 20.529032445089566\n", + "unit_port_p080 MSE: 20.572723179792543\n", + "schur_diag_diag_s5_gcombo_long_port MSE: 20.607364656218515\n", + "hrp_diag_diag_s5_long_port MSE: 20.634545367699005\n", + "hrp_unit_unit_s5_port MSE: 20.65816147726662\n", + "weak_long_port MSE: 20.87391134278893\n", + "weak_h125_long_port MSE: 20.87391134278893\n", + "weak_h150_long_port MSE: 20.87391134278893\n", + "weak_h200_long_port MSE: 20.87391134278893\n", + "weak_h400_long_port MSE: 20.87391134278893\n", + "schur_diag_diag_s5_g050_long_port MSE: 20.911259752347476\n", + "hrp_diag_weak_s5_long_port MSE: 20.988040934668785\n", + "ppo_sharpe_long_port MSE: 21.027663141648112\n", + "ppo_vol_long_port MSE: 21.027663141648112\n", + "ppo_quad_long_port MSE: 21.027663141648112\n", + "unit_port_p090 MSE: 21.117010554894932\n", + "hrp_unit_weak_s5_port MSE: 21.249247040657075\n", + "schur_diag_diag_s5_g100_long_port MSE: 21.3061222194207\n", + "Schur Regression. MSE: 21.468808596555878\n", + "schur_unit_unit_s5_g050_port MSE: 21.571861290767217\n", + "ppo_sharpe_port MSE: 21.97015533644057\n", + "ppo_vol_port MSE: 21.97015533644057\n", + "ppo_quad_port MSE: 21.97015533644057\n", + "unit_port MSE: 21.970161424505562\n", + "unit_port_p100 MSE: 21.970161424505562\n", + "Zero prediction MSE: 22.084882881358794\n", + "schur_unit_unit_s5_g100_port MSE: 22.617404426826905\n", + "Ridge MSE: 23.08802200551705\n", + "Lasso MSE: 26.324642233612632\n", + "NNLS Regression. MSE: 28.993185344984393\n", + "Custom Implementation MSE: 84.5315967717654\n", + "Sklearn lin reg MSE: 84.53159677176784\n", + "Port Regression. MSE: 2910.8321083339983\n", + "Done\n" + ] + } + ] + } + ] +} \ No newline at end of file diff --git a/scripts/__init__.py b/scripts/__init__.py new file mode 100644 index 00000000..e69de29b diff --git a/scripts/elo/__init__.py b/scripts/elo/__init__.py new file mode 100644 index 00000000..e69de29b diff --git a/scripts/elo/interpret_elo_ratings.py b/scripts/elo/interpret_elo_ratings.py new file mode 100644 index 00000000..8fa500ed --- /dev/null +++ b/scripts/elo/interpret_elo_ratings.py @@ -0,0 +1,98 @@ +import re +import pandas as pd +import numpy as np + + +def to_elo_frame(elos): + """ + Construct a dataframe where regressors are inferred from manager names. + """ + MODEL_KEY_REPLACEMENTS = {'gamma': 'g','t0':'tzero'} + MODEL_KEYS_NOT_USED = ['manager', 'manger', 'long', 'pcov', 'check'] + + def augment_alloc(name): + # Differentiate between 2nd and 3rd hints (usually alloc verus portfolio method) + splt = name.split('_') + if splt[2] == splt[1]: + splt[2] = splt[2] + 'xx' # Allocation + splt[1] = splt[1] + 'xy' # Portfolio + return '_'.join(splt) + + def infer_categorical_and_ordinal(elos): + categorical = set() + ordinal = set() + for name, (_elo, _cpu) in elos: + name = augment_alloc(name=name) + name_words = name.split('_') + for wd in name_words: + for r_old, r_new in MODEL_KEY_REPLACEMENTS.items(): + wd = wd.replace(r_old, r_new) + wd_head = re.search("[^\d]*", wd).group() + if wd == wd_head: + if wd not in MODEL_KEYS_NOT_USED: + categorical.add(wd_head) + else: + ordinal.add(wd_head) + return categorical, ordinal + + def make_model_regs_elo(elos, categorical, ordinal): + model_reg_elo = list() + for name, (elo,cpu) in elos: + name = augment_alloc(name=name) + name_words = name.split('_') + reg_pairs = list() + for wd in list(set(name_words)): + for r_old,r_new in MODEL_KEY_REPLACEMENTS.items(): + wd = wd.replace(r_old,r_new) + + if wd in categorical: + pair = (wd+'_hot',1) + else: + wd_head = re.search("[^\d]*", wd).group() + if wd_head in categorical: + pair = (wd+'_hot',1) + elif wd_head in ordinal: + wd_tail = wd[len(wd_head):] + pair = (wd_head+'_ord',float(wd_tail)) + else: + pair = None + if pair is not None: + reg_pairs.append(pair) + model_reg_elo.append( (name, reg_pairs, elo) ) + return model_reg_elo + + def model_regs_elo_keys(model_regs_elo): + kys = set() + for model, regs, _elo in model_regs_elo: + for k, v in regs: + kys.add(k) + return kys + + def model_regs_elo_to_frame(model_regs_elo): + """ + Convert tuples into dataframe setting non-ordinal variables to 0.0 + """ + kys = model_regs_elo_keys(model_regs_elo) + + rows = list() + for model, regs, elo in model_regs_elo: + row_dict = dict([(k, np.nan if '_ord' in k else 0.0) for k in kys]) + row_dict.update({'elo': elo}) + for reg, val in regs: + row_dict[reg] = val + row = pd.DataFrame.from_dict(row_dict, orient='index').transpose() + rows.append(row) + df = pd.concat(rows) + return df + + categorical, ordinal = infer_categorical_and_ordinal(elos) + models_and_regs = make_model_regs_elo(elos=elos, categorical=categorical, ordinal=ordinal) + df = model_regs_elo_to_frame(model_regs_elo=models_and_regs) + return df + + +if __name__=='__main__': + from precise.skatervaluation.battleutil.exampleelos import EXAMPLE_MANAGER_ELOS + df = to_elo_frame(EXAMPLE_MANAGER_ELOS) + print(df[:5]) + diff --git a/scripts/elo/save_all_elo_ratings.py b/scripts/elo/save_all_elo_ratings.py new file mode 100644 index 00000000..174b9844 --- /dev/null +++ b/scripts/elo/save_all_elo_ratings.py @@ -0,0 +1,7 @@ +from precise.skatervaluation.battleutil.compilingeloratings import create_elo_csvs + +if __name__=='__main__': + create_elo_csvs() + + + diff --git a/scripts/elo/show_likelihood_categories.py b/scripts/elo/show_likelihood_categories.py new file mode 100644 index 00000000..8c3036b4 --- /dev/null +++ b/scripts/elo/show_likelihood_categories.py @@ -0,0 +1,5 @@ +from precise.skatervaluation.battleutil.battleio import win_dirs +from pprint import pprint + +if __name__=='__main__': + pprint(win_dirs(genre='cov_likelihood')) \ No newline at end of file diff --git a/scripts/elo/show_manager_categories.py b/scripts/elo/show_manager_categories.py new file mode 100644 index 00000000..c077649f --- /dev/null +++ b/scripts/elo/show_manager_categories.py @@ -0,0 +1,6 @@ +from precise.skatervaluation.battleutil.battleio import win_dirs +from pprint import pprint + +if __name__=='__main__': + pprint(win_dirs(genre='manager_var')) + pprint(win_dirs(genre='manager_info')) diff --git a/setup.py b/setup.py index 3257fdd4..cfefa959 100644 --- a/setup.py +++ b/setup.py @@ -7,8 +7,8 @@ setup( name="precise", - version="0.0.2", - description="Online covariance", + version="0.16.7", + description="The home of Schur Hierarchical Portfolios: an aesthetically pleasing version of Hierarchical Risk Parity", long_description=README, long_description_content_type="text/markdown", url="https://github.com/microprediction/precise", @@ -18,13 +18,48 @@ classifiers=[ "License :: OSI Approved :: MIT License", "Programming Language :: Python :: 3", - "Programming Language :: Python :: 3.7", + "Programming Language :: Python :: 3.8", ], - packages=["precise"], + packages=["precise","precise.z", + "precise.skaters", + "precise.skaters.covariance", + "precise.skaters.covarianceutil", + "precise.skaters.scalarutil", + "precise.skaters.portfoliostatic", + "precise.skaters.portfolioutil", + "precise.skaters.location", + "precise.skaters.managers", + "precise.skaters.managerutil", + "precise.skaters.locationutil", + "precise.inclusion", + "precise.skatertools", + "precise.skatertools.dictionaries", + "precise.skatertools.data", + "precise.skatertools.ensembling", + "precise.skatertools.m6", + "precise.skatertools.syntheticdata", + "precise.skatervaluation", + "precise.skatervaluation.covariancecomparisonutil", + "precise.skatervaluation.managercomparisonutil", + "precise.skatervaluation.portfoliocomparisonutil", + "precise.skatervaluation.queues", + "precise.skatervaluation.battleutil", + "precise.skatervaluation.schurcomparisionutil", + 'precise.skatervaluation.battlescripts', + 'precise.skatervaluation.battlescriptscustom', + "precise.skatervaluation.battlelatex", + 'precise.skatervaluation.battlescripts.cov_likelihood', + 'precise.skatervaluation.battlescripts.manager_info', + "precise.skatervaluation.schurcomparisonutil", + "precise.skatervaluation.schurcomparisionutil", + 'precise.skatervaluation.battlescripts.manager_var' + ], test_suite='pytest', - tests_require=['pytest'], + tests_require=['pytest','riskparityportfolio'], include_package_data=True, - install_requires=['numpy'], + install_requires=['numpy','momentum>=0.2.7','kmeans1d','scikit-learn','latextable','tomark', + 'pandas_datareader','pandas','scipy','pyportfolioopt','collinearity', + 'yfinance','dictionaries'], entry_points={ "console_scripts": [ "precise=precise.__main__:main", diff --git a/tests/.DS_Store b/tests/.DS_Store new file mode 100644 index 00000000..e517546c Binary files /dev/null and b/tests/.DS_Store differ diff --git a/tests/battleutil/__init__.py b/tests/battleutil/__init__.py new file mode 100644 index 00000000..e69de29b diff --git a/tests/battleutil/test_interpreting_elos.py b/tests/battleutil/test_interpreting_elos.py new file mode 100644 index 00000000..2602ced1 --- /dev/null +++ b/tests/battleutil/test_interpreting_elos.py @@ -0,0 +1,15 @@ +from precise.skatervaluation.battleutil.interpretingelo import manager_regressor_frame +from precise.skatervaluation.battleutil.exampleelos import EXAMPLE_MANAGER_ELOS + + +def test_interpret_elos(): + elos = EXAMPLE_MANAGER_ELOS + df = manager_regressor_frame(elos) + print(df[:5]) + + +if __name__=='__main__': + elos = EXAMPLE_MANAGER_ELOS + df = manager_regressor_frame(elos) + from precise.whereami import BATTLE_RESULTS_DIR + df.to_csv(BATTLE_RESULTS_DIR+'/example_manager_regressor_frame.csv', index=False) diff --git a/tests/covariance/test_avgtop.py b/tests/covariance/test_avgtop.py new file mode 100644 index 00000000..bce5dffc --- /dev/null +++ b/tests/covariance/test_avgtop.py @@ -0,0 +1,21 @@ +import numpy as np +from precise.skaters.covariance.avgtop import AVG_TOP_COV_D0_SKATERS +from precise.skatertools.syntheticdata.miscellaneous import create_correlated_dataset + + +def test_random_avgtop(): + data = create_correlated_dataset(100, (2.2, 4.4, 1.5), np.array([[0.2, 0.5, 0.7],[0.3, 0.2, 0.2],[0.5,0.3,0.1]]), (1, 5, 3)) + for _ in range(5): + f = np.random.choice(AVG_TOP_COV_D0_SKATERS) + s = {} + for j,y in enumerate(data[:100]): + x, x_cov, s = f(s=s, y=y, k=1) + if not (np.diag(x_cov) >= 0).all(): + print('Something wrong with '+str(f.__name__)) + raise + + + + +if __name__=='__main__': + test_random_avgtop() \ No newline at end of file diff --git a/tests/covariance/test_buffer.py b/tests/covariance/test_buffer.py new file mode 100644 index 00000000..6a242dec --- /dev/null +++ b/tests/covariance/test_buffer.py @@ -0,0 +1,31 @@ + +import numpy as np +from precise.skaters.covariance.bufemp import buf_emp_pcov_d0_n20 +from precise.skatertools.syntheticdata.miscellaneous import create_correlated_dataset +from precise.skaters.covarianceutil.covfunctions import cov_to_corrcoef +from precise.skaters.covarianceutil.datafunctions import data_population_correlation + + +TOL = 1E-10 + + +def test_empirical_buffer(): + data = create_correlated_dataset(100, (2.2, 4.4, 1.5), np.array([[0.2, 0.5, 0.7] ,[0.3, 0.2, 0.2] ,[0.5 ,0.3 ,0.1]]), (1, 5, 3)) + s = {} + for j ,y in enumerate(data[:5]): + x, x_cov, s = buf_emp_pcov_d0_n20(s=s, y=y, k=1) + assert (np.diag(x_cov)>=0).all() + if j>= 2: + np_mean = np.mean(data[:j + 1, :], axis=0) + np_pop_cov = np.cov(data[:j + 1, :], rowvar=False, bias=True) + np_corrcoef = np.corrcoef(data[:j + 1, :], rowvar=False) + np_corrcoef2 = data_population_correlation(data[:j + 1, :]) + ocorr = cov_to_corrcoef(x_cov) + assert np.isclose(np_pop_cov, x_cov, atol=TOL).all() + assert np.isclose(np_mean, x, atol=TOL).all() + assert np.isclose(np_corrcoef, ocorr, atol=TOL).all() + assert np.isclose(np_corrcoef2, ocorr, atol=TOL).all() + + +if __name__ == '__main__': + test_empirical_buffer() diff --git a/tests/covariance/test_ema.py b/tests/covariance/test_ema.py new file mode 100644 index 00000000..42287a70 --- /dev/null +++ b/tests/covariance/test_ema.py @@ -0,0 +1,48 @@ + +# Ack: https://carstenschelp.github.io/2019/05/12/Online_Covariance_Algorithm_002.html +import numpy as np +from precise.skaters.covariance.runempfactory import emp_pcov +from precise.skaters.covariance.ewaempfactory import ema_scov +from precise.skatertools.syntheticdata.miscellaneous import create_correlated_dataset +from momentum import rvar + + +def test_same_burn_in(): + data = create_correlated_dataset(9, (2.2, 4.4, 1.5), np.array([[0.2, 0.5, 0.7],[0.3, 0.2, 0.2],[0.5,0.3,0.1]]), (1, 5, 3)) + conventional_cov = np.cov(data, rowvar=False) + se = {} + for x in data: + se = emp_pcov(s=se, x=x) + + sm = {} + for x in data: + sm = ema_scov(s=sm, y=x) + + assert np.isclose(se['pcov'], sm['pcov']).all() + + +def test_diag(): + data = create_correlated_dataset(100, (2.2, 4.4, 1.5), np.array([[0.2, 0.5, 0.7], [0.3, 0.2, 0.2], [0.5, 0.3, 0.1]]), + (1, 5, 3)) + rho = 0.05 + r0 = {} + r1 = {} + n_emp = 10 + for k,x in enumerate(data): + r1 = ema_scov(s=r1, y=x, r=rho, n_emp=n_emp) + r0 = rvar(m=r0,x=x[0],rho=rho, n=n_emp) + if k >= 2: + c = r1['scov'][0, 0] + c1 = r0['var'] + assert np.isclose(c,c1) + + + + + + + + +if __name__=='__main__': + test_same_burn_in() + test_diag() \ No newline at end of file diff --git a/tests/covariance/test_empirical.py b/tests/covariance/test_empirical.py new file mode 100644 index 00000000..d90e91c8 --- /dev/null +++ b/tests/covariance/test_empirical.py @@ -0,0 +1,60 @@ + + +import numpy as np +from precise.skaters.covariance.runempfactory import emp_pcov, merge_emp_scov +from precise.skatertools.syntheticdata.miscellaneous import create_correlated_dataset +from precise.skaters.covarianceutil.covfunctions import cov_to_corrcoef +from precise.skaters.covarianceutil.datafunctions import data_population_covariance + +# Some cut and paste https://carstenschelp.github.io/2019/05/12/Online_Covariance_Algorithm_002.html +# However I've removed the confusion between sample and population estimates, and taken the tolerance +# down to 1e-10 + +TOL = 1E-10 + + +def test_onlineempirical(): + data = create_correlated_dataset(100, (2.2, 4.4, 1.5), np.array([[0.2, 0.5, 0.7],[0.3, 0.2, 0.2],[0.5,0.3,0.1]]), (1, 5, 3)) + + np_corrcoef = np.corrcoef(data, rowvar=False) + s = {} + for j,x in enumerate(data[:2]): + s = emp_pcov(s=s, x=x, k=1) + if j>=1: + np_mean = np.mean(data[:j+1,:],axis=0) + np_pcov = np.cov(data[:j+1,:], rowvar=False, bias=True) + np_pcov2 = data_population_covariance(data[:j + 1, :]) + np_corrcoef = np.corrcoef(data[:j+1,:], rowvar=False) + ocorr = cov_to_corrcoef(s['pcov']) + assert np.isclose(np_pcov, s['pcov'], atol=TOL).all() + assert np.isclose(np_pcov2, s['pcov'], atol=TOL).all() + assert np.isclose(np_mean, s['mean'], atol=TOL).all() + assert np.isclose(np_corrcoef, ocorr, atol=TOL).all() + + + +def test_merging(): + data_part1 = create_correlated_dataset(500, (2.2, 4.4, 1.5), np.array([[0.2, 0.5, 0.7], [0.3, 0.2, 0.2], [0.5, 0.3, 0.1]]), (1, 5, 3)) + data_part2 = create_correlated_dataset( \ + 1000, (5, 6, 2), np.array([[0.2, 0.5, 0.7], [0.3, 0.2, 0.2], [0.5, 0.3, 0.1]]), (1, 5, 3)) + ocov_part1 = {} + ocov_part2 = {} + ocov_both = {} + + for row in data_part1: + ocov_part1 = emp_pcov(s=ocov_part1, x=row) + ocov_both = emp_pcov(s=ocov_both, x=row) + + for row in data_part2: + ocov_part2 = emp_pcov(s=ocov_part2, x=row) + ocov_both = emp_pcov(s=ocov_both, x=row) + + ocov_merged = merge_emp_scov(s=ocov_part1, other_s=ocov_part2) + assert ocov_both['n_samples'] == ocov_merged['n_samples'] + assert np.isclose(ocov_both['mean'], ocov_merged['mean']).all() + assert np.isclose(ocov_both['pcov'], ocov_merged['pcov']).all() + + +if __name__=='__main__': + test_onlineempirical() + test_merging() diff --git a/tests/covariance/test_ewalz.py b/tests/covariance/test_ewalz.py new file mode 100644 index 00000000..dd32ad0a --- /dev/null +++ b/tests/covariance/test_ewalz.py @@ -0,0 +1,18 @@ +import numpy as np +from precise.skaters.covariance.ewalz import EWA_LZ_D0_COV_SKATERS +from precise.skatertools.syntheticdata.factor import create_disjoint_factor_dataset + + +def test_random_partial_moving(): + n_dims = [5,3,3,3,2,2] + data = create_disjoint_factor_dataset(n=500,n_dims=n_dims) + f = np.random.choice(EWA_LZ_D0_COV_SKATERS) + print(f.__name__) + s = {} + for j,y in enumerate(data): + x, x_cov, s = f(s=s, y=y, k=1) + assert (np.diag(x_cov) >= 0).all() + + +if __name__=='__main__': + test_random_partial_moving() \ No newline at end of file diff --git a/tests/covariance/test_huberbuffered.py b/tests/covariance/test_huberbuffered.py new file mode 100644 index 00000000..5f539fcd --- /dev/null +++ b/tests/covariance/test_huberbuffered.py @@ -0,0 +1,21 @@ +import numpy as np +from precise.skaters.covariance.bufhuber import BUF_HUBER_D0_COV_SKATERS +from precise.skatertools.syntheticdata.miscellaneous import create_correlated_dataset + + +def test_random_buffered_huber_d0(): + data = create_correlated_dataset(100, (2.2, 4.4, 1.5), np.array([[0.2, 0.5, 0.7],[0.3, 0.2, 0.2],[0.5,0.3,0.1]]), (1, 5, 3)) + for _ in range(5): + f = np.random.choice(BUF_HUBER_D0_COV_SKATERS) + s = {} + for j,y in enumerate(data[:100]): + x, x_cov, s = f(s=s, y=y, k=1) + if not (np.diag(x_cov) >= 0).all(): + print('Something wrong with '+str(f.__name__)) + raise + + + + +if __name__=='__main__': + test_random_buffered_huber_d0() \ No newline at end of file diff --git a/tests/covariance/test_onlineempirical.py b/tests/covariance/test_onlineempirical.py deleted file mode 100644 index b6fa1189..00000000 --- a/tests/covariance/test_onlineempirical.py +++ /dev/null @@ -1,59 +0,0 @@ - -# Ack: https://carstenschelp.github.io/2019/05/12/Online_Covariance_Algorithm_002.html -import numpy as np -from precise.covariance.onlineempirical import online_empirical_cov,merge_online_empirical_cov -from precise.covariance.util import create_correlated_dataset - - -def test_onlineempirical(): - data = create_correlated_dataset(10000, (2.2, 4.4, 1.5), np.array([[0.2, 0.5, 0.7],[0.3, 0.2, 0.2],[0.5,0.3,0.1]]), (1, 5, 3)) - conventional_mean = np.mean(data, axis=0) - conventional_cov = np.cov(data, rowvar=False) - conventional_corrcoef = np.corrcoef(data, rowvar=False) - ocov = online_empirical_cov(n_dim=data.shape[1]) - for observation in data: - ocov = online_empirical_cov(s=ocov, y=observation) - assert np.isclose(conventional_mean, ocov['mean']).all(), \ - """ - Mean should be the same with both approaches. - """ - assert np.isclose(conventional_cov, ocov['cov'], atol=1e-3).all(), \ - """ - Covariance-matrix should be the same with both approaches. - """ - from precise.covariance.util import cov_to_corrcoef - ocorr = cov_to_corrcoef(ocov['cov']) - assert np.isclose(conventional_corrcoef, ocorr).all(), \ - """ - Pearson-Correlationcoefficient-matrix should be the same with both approaches. - """ - - -def test_merging(): - data_part1 = create_correlated_dataset(500, (2.2, 4.4, 1.5), np.array([[0.2, 0.5, 0.7], [0.3, 0.2, 0.2], [0.5, 0.3, 0.1]]), (1, 5, 3)) - data_part2 = create_correlated_dataset( \ - 1000, (5, 6, 2), np.array([[0.2, 0.5, 0.7], [0.3, 0.2, 0.2], [0.5, 0.3, 0.1]]), (1, 5, 3)) - ocov_part1 = online_empirical_cov(n_dim=3) - ocov_part2 = online_empirical_cov(n_dim=3) - ocov_both = online_empirical_cov(n_dim=3) - - # "grow" online-covariances for part 1 and 2 separately but also - # put all observations into the OnlineCovariance object for both. - - for row in data_part1: - ocov_part1 = online_empirical_cov(s=ocov_part1, y=row) - ocov_both = online_empirical_cov(s=ocov_both, y=row) - - for row in data_part2: - ocov_part2 = online_empirical_cov(s=ocov_part2, y=row) - ocov_both = online_empirical_cov(s=ocov_both, y=row) - - ocov_merged = merge_online_empirical_cov(s=ocov_part1, other_s=ocov_part2) - assert ocov_both['count'] == ocov_merged['count'] - assert np.isclose(ocov_both['mean'], ocov_merged['mean']).all() - assert np.isclose(ocov_both['cov'], ocov_merged['cov']).all() - - -if __name__=='__main__': - test_onlineempirical() - test_merging() \ No newline at end of file diff --git a/tests/covariance/test_oo_onlineempirical.py b/tests/covariance/test_oo_onlineempirical.py index ecc63000..d78d7e7e 100644 --- a/tests/covariance/test_oo_onlineempirical.py +++ b/tests/covariance/test_oo_onlineempirical.py @@ -1,15 +1,8 @@ # Ack: https://carstenschelp.github.io/2019/05/12/Online_Covariance_Algorithm_002.html import numpy as np -from precise.oo.empirical.onlineempirical import OnlineEmpiricalCovariance - - -def create_correlated_dataset(n, mu, dependency, scale): - latent = np.random.randn(n, dependency.shape[0]) - dependent = latent.dot(dependency) - scaled = dependent * scale - scaled_with_offset = scaled + mu - return scaled_with_offset +from precise.z.covariance.onlineempirical import OnlineEmpiricalCovariance +from precise.skatertools.syntheticdata.miscellaneous import create_correlated_dataset def test_onlineempirical(): diff --git a/tests/covariance/test_partialmoving.py b/tests/covariance/test_partialmoving.py new file mode 100644 index 00000000..b713cddd --- /dev/null +++ b/tests/covariance/test_partialmoving.py @@ -0,0 +1,17 @@ +import numpy as np +from precise.skaters.covariance.ewapm import EWA_PM_EMP_D0_COV_SKATERS +from precise.skatertools.syntheticdata.miscellaneous import create_correlated_dataset + + +def test_random_partial_moving(): + data = create_correlated_dataset(100, (2.2, 4.4, 1.5), np.array([[0.2, 0.5, 0.7],[0.3, 0.2, 0.2],[0.5,0.3,0.1]]), (1, 5, 3)) + for _ in range(5): + f = np.random.choice(EWA_PM_EMP_D0_COV_SKATERS) + s = {} + for j,y in enumerate(data[:100]): + x, x_cov, s = f(s=s, y=y, k=1) + assert (np.diag(x_cov) >= 0).all() + + +if __name__=='__main__': + test_random_partial_moving() \ No newline at end of file diff --git a/tests/covariance/test_pema.py b/tests/covariance/test_pema.py new file mode 100644 index 00000000..da896388 --- /dev/null +++ b/tests/covariance/test_pema.py @@ -0,0 +1,54 @@ + +# Ack: https://carstenschelp.github.io/2019/05/12/Online_Covariance_Algorithm_002.html +import numpy as np +from precise.skaters.covariance.ewapmfactory import _partial_ema_scov_init, _partial_ema_scov_update +from precise.skaters.covariance.ewaempfactory import _ema_scov_update, _ema_scov_init +from precise.skaters.covariance.runempfactory import emp_pcov +from precise.skaters.covarianceutil.covfunctions import cov_to_corrcoef +from precise.skatertools.syntheticdata.miscellaneous import create_correlated_dataset +from pprint import pprint + + +def test_compare(): + data = create_correlated_dataset(10000, (2.2, 4.4, 1.5), np.array([[0.2, 0.5, 0.7],[0.3, 0.2, 0.2],[0.5,0.3,0.1]]), (1, 5, 3)) + + known_mean = np.mean(data,axis=0) + + # Partial moments + r = 0.001 + s1 = _partial_ema_scov_init(n_dim=data.shape[1], target=known_mean) + for x in data: + s1 = _partial_ema_scov_update(s=s1, x=x, r=r) + + corr1 = cov_to_corrcoef(s1['scov']) + + # MA + s2 = _ema_scov_init(n_dim=data.shape[1]) + for x in data: + s2 = _ema_scov_update(s=s2, x=x, r=r) + + # Empirical cov + s3 = {} + for x in data: + s3 = emp_pcov(s=s3,x=x) + + pprint(corr1) + print('--partial--') + pprint(s1['scov']) + print('---ma cov---') + pprint(s2['scov']) + print('--- emp cov ---') + pprint(s3['pcov']) + + s12ratio = s1['scov']/s2['scov'] + print('-- ratio of MA cov to MA partial cov --') + s23ratio = s2['scov']/s3['pcov'] + + pprint(s23ratio) + pass + + + + +if __name__=='__main__': + test_compare() \ No newline at end of file diff --git a/tests/covariance/test_random_cov.py b/tests/covariance/test_random_cov.py new file mode 100644 index 00000000..465af058 --- /dev/null +++ b/tests/covariance/test_random_cov.py @@ -0,0 +1,18 @@ +import numpy as np +from precise.skaters.covariance.allcovskaters import ALL_COV_SKATERS +from precise.skatertools.syntheticdata.miscellaneous import create_correlated_dataset + + +def test_random_cov_skater(): + data = create_correlated_dataset(400, (2.2, 4.4, 1.5), np.array([[0.2, 0.5, 0.7],[0.3, 0.2, 0.2],[0.5,0.3,0.1]]), (1, 5, 3)) + for _ in range(1): + f = np.random.choice(ALL_COV_SKATERS) + s = {} + for j,y in enumerate(data[:105]): + x, x_cov, s = f(s=s, y=y, k=1) + assert (np.diag(x_cov) >= 0).all() + + +if __name__=='__main__': + for _ in range(50): + test_random_cov_skater() \ No newline at end of file diff --git a/tests/covariance/test_skbuffered.py b/tests/covariance/test_skbuffered.py new file mode 100644 index 00000000..5af24db4 --- /dev/null +++ b/tests/covariance/test_skbuffered.py @@ -0,0 +1,17 @@ +import numpy as np +from precise.skaters.covariance.bufsk import BUF_SK_D0_SKATERS +from precise.skatertools.syntheticdata.miscellaneous import create_correlated_dataset + + +def test_random_buffered_sk_d0(): + data = create_correlated_dataset(400, (2.2, 4.4, 1.5), np.array([[0.2, 0.5, 0.7],[0.3, 0.2, 0.2],[0.5,0.3,0.1]]), (1, 5, 3)) + for _ in range(1): + f = np.random.choice(BUF_SK_D0_SKATERS) + s = {} + for j,y in enumerate(data[:105]): + x, x_cov, s = f(s=s, y=y, k=1) + assert (np.diag(x_cov) >= 0).all() + + +if __name__=='__main__': + test_random_buffered_sk_d0() \ No newline at end of file diff --git a/tests/covariance/test_weakewa.py b/tests/covariance/test_weakewa.py new file mode 100644 index 00000000..16edc0a1 --- /dev/null +++ b/tests/covariance/test_weakewa.py @@ -0,0 +1,18 @@ +import numpy as np +from precise.skaters.covariance.weakewa import WEAK_EWA_DO_COV_SKATERS +from precise.skatertools.syntheticdata.miscellaneous import create_correlated_dataset + + +def test_random_cov_skater(): + data = create_correlated_dataset(400, (2.2, 4.4, 1.5), np.array([[0.2, 0.5, 0.7],[0.3, 0.2, 0.2],[0.5,0.3,0.1]]), (1, 5, 3)) + for _ in range(1): + f = np.random.choice(WEAK_EWA_DO_COV_SKATERS) + s = {} + for j,y in enumerate(data[:105]): + x, x_cov, s = f(s=s, y=y, k=1) + assert (np.diag(x_cov) >= 0).all() + + +if __name__=='__main__': + for _ in range(50): + test_random_cov_skater() \ No newline at end of file diff --git a/tests/covarianceutil/__init__.py b/tests/covarianceutil/__init__.py new file mode 100644 index 00000000..e69de29b diff --git a/tests/covarianceutil/test_covfunctions.py b/tests/covarianceutil/test_covfunctions.py new file mode 100644 index 00000000..d260861d --- /dev/null +++ b/tests/covarianceutil/test_covfunctions.py @@ -0,0 +1,25 @@ +import numpy as np +from precise.skaters.covarianceutil.covrandom import random_band_cov +from precise.skaters.covarianceutil.covfunctions import approx_diag_of_inv, cov_distance, seriation + + +def test_something(): + assert True + + +def test_cov_distance(): + cov = random_band_cov() + d = cov_distance(cov=cov) + + +def test_seriation(): + cov = random_band_cov() + l = seriation(cov=cov) + print(l) + + + +if __name__=='__main__': + test_seriation() + + diff --git a/tests/managers/__init__.py b/tests/managers/__init__.py new file mode 100644 index 00000000..e69de29b diff --git a/tests/managers/test_equal_managers.py b/tests/managers/test_equal_managers.py new file mode 100644 index 00000000..3f87ad3c --- /dev/null +++ b/tests/managers/test_equal_managers.py @@ -0,0 +1,54 @@ +import random +from precise.skatervaluation.managercomparisonutil.managertesting import manager_test_run +from precise.skaters.managers.equalmanagers import equal_long_manager +from precise.skatertools.data.equityhistorical import random_cached_equity_dense +from numpy.testing import assert_array_almost_equal + + +def test_random_manager(): + from precise.skaters.managers.allmanagers import LONG_MANAGERS + mgr = random.choice(LONG_MANAGERS) + manager_test_run(mgr=mgr) + + +def test_daily_equal(): + assert_equal_managing(equal_long_manager, equal_long_manager, j=1, q=1) + + +def test_smoothing_equal(): + assert_equal_managing(equal_long_manager, equal_long_manager, j=1, q=0.5) + + +def test_weekly_equal(): + assert_equal_managing(equal_long_manager, equal_long_manager, j=5, q=1) + + +def test_weekly_smoothing_equal(): + assert_equal_managing(equal_long_manager, equal_long_manager, j=5, q=0.5) + + +def test_random_j_q_equal(): + j = random.choice([1,5,20]) + q = random.choice([1,0,0.1]) + assert_equal_managing(equal_long_manager, equal_long_manager, j=j, q=q) + + +def assert_equal_managing(mgr1,mgr2, j, q): + ys = random_cached_equity_dense(k=1, n_obs=50, n_dim=3, as_frame=False) + s1 = {} + s2 = {} + for y in ys: + w1, s1 = mgr1(y=y, s=s1, j=j, q=q) + w2, s2 = mgr2(y=y, s=s2, j=j, q=q) + assert_array_almost_equal(w1,w2, err_msg='equal / equality managers are not the same with j='+str(j)+' and q='+str(q)) + + + +if __name__=='__main__': + for _ in range(10): + test_daily_equal() + test_weekly_equal() + test_smoothing_equal() + test_weekly_smoothing_equal() + test_random_j_q_equal() + print('yeh') \ No newline at end of file diff --git a/tests/managers/test_hull_hrp_manager.py b/tests/managers/test_hull_hrp_manager.py new file mode 100644 index 00000000..0f735874 --- /dev/null +++ b/tests/managers/test_hull_hrp_manager.py @@ -0,0 +1,14 @@ +from precise.skatervaluation.managercomparisonutil.managertesting import manager_debug_run +from precise.inclusion.pyportfoliooptinclusion import using_pyportfolioopt + + +def dont_test_troublesome_manager(): + if using_pyportfolioopt: + from precise.skaters.managers.hrpmanagers import hrp_vol_weak_ewa_r001_n200_s50_g050_l21_long_manager as mgr + j = 3 + q = 1.0 + manager_debug_run(mgr=mgr, j=j, q=q, n_dim=42, n_obs=300) + + +if __name__=='__main__': + dont_test_troublesome_manager() \ No newline at end of file diff --git a/tests/managers/test_hull_hrp_manager_21.py b/tests/managers/test_hull_hrp_manager_21.py new file mode 100644 index 00000000..8ddd3899 --- /dev/null +++ b/tests/managers/test_hull_hrp_manager_21.py @@ -0,0 +1,17 @@ +import random +from precise.skatervaluation.managercomparisonutil.managertesting import manager_debug_run +from precise.inclusion.pyportfoliooptinclusion import using_pyportfolioopt + + +def dont_test_randomized_manager(): + if using_pyportfolioopt: + from precise.skaters.managers.hrpmanagers import HRP_21_LONG_MANGERS_USING_PPO + mgr = random.choice(HRP_21_LONG_MANGERS_USING_PPO) + j = 3 + q = 1.0 + manager_debug_run(mgr=mgr, j=j, q=q, n_dim=42, n_obs=2000) + + +if __name__=='__main__': + for _ in range(10): + dont_test_randomized_manager() \ No newline at end of file diff --git a/tests/managers/test_hull_schur_manager.py b/tests/managers/test_hull_schur_manager.py new file mode 100644 index 00000000..1f73d88f --- /dev/null +++ b/tests/managers/test_hull_schur_manager.py @@ -0,0 +1,14 @@ +from precise.skatervaluation.managercomparisonutil.managertesting import manager_debug_run +from precise.inclusion.pyportfoliooptinclusion import using_pyportfolioopt + + +def dont_test_randomized_manager(): + if using_pyportfolioopt: + from precise.skaters.managers.schurmanagers import schur_weak_vol_ewa_r001_n200_s50_g100_l20_long_manager as mgr + j = 3 + q = 1.0 + manager_debug_run(mgr=mgr, j=j, q=q, n_dim=42, n_obs=2000) + + +if __name__=='__main__': + dont_test_randomized_manager() \ No newline at end of file diff --git a/tests/managers/test_managers_previously_errored.py b/tests/managers/test_managers_previously_errored.py new file mode 100644 index 00000000..38c9e23a --- /dev/null +++ b/tests/managers/test_managers_previously_errored.py @@ -0,0 +1,15 @@ +from precise.skatervaluation.managercomparisonutil.managertesting import manager_test_run +from precise.inclusion.pyportfoliooptinclusion import using_pyportfolioopt + + +def test_troublesome_managers(return_w=False): + if using_pyportfolioopt: + from precise.skaters.managers.schurmanagers import schur_vol_vol_pm_t0_d0_r025_n50_s5_g100_long_manager as mgr2 + w2 = manager_test_run(mgr=mgr2) + if return_w: + return w + + +if __name__=='__main__': + w = test_troublesome_managers(return_w=True) + print(w) \ No newline at end of file diff --git a/tests/managers/test_p_q.py b/tests/managers/test_p_q.py new file mode 100644 index 00000000..0d9aa644 --- /dev/null +++ b/tests/managers/test_p_q.py @@ -0,0 +1,8 @@ +from precise.skaters.managers.equalmanagers import equal_long_manager as mgr +import numpy as np + +def test_not_much(): + ys = np.random.randn(50,50) + s = {} + for y in ys: + w, s = mgr(y=y,s=s,k=1,j=2,q=0.1) diff --git a/tests/managers/test_profile_schur_manager.py b/tests/managers/test_profile_schur_manager.py new file mode 100644 index 00000000..693b4d5d --- /dev/null +++ b/tests/managers/test_profile_schur_manager.py @@ -0,0 +1,16 @@ +import random +from precise.skatervaluation.managercomparisonutil.managertesting import manager_test_run + + +def test_profile_schur_manager(): + from precise.skaters.managers.schurmanagers import schur_weak_weak_pm_t0_r025_n50_s25_g100_h150_long_manager as mgr + j = random.choice([1, 5, 20]) + q = random.choice([1.0, 0.1]) + manager_test_run(mgr=mgr,j=j, q=q) + print(mgr.__name__+' ran okay') + + + + +if __name__=='__main__': + test_profile_schur_manager() \ No newline at end of file diff --git a/tests/managers/test_random_hrp_manager.py b/tests/managers/test_random_hrp_manager.py new file mode 100644 index 00000000..f693db63 --- /dev/null +++ b/tests/managers/test_random_hrp_manager.py @@ -0,0 +1,15 @@ +import random +from precise.skatervaluation.managercomparisonutil.managertesting import manager_test_run + + +def test_random_manager(): + from precise.skaters.managers.hrpmanagers import HRP_MANAGERS + mgr = random.choice(HRP_MANAGERS) + j = random.choice([1, 5, 20]) + q = random.choice([1.0, 0.1]) + manager_test_run(mgr=mgr, j=j, q=q) + + +if __name__ == '__main__': + for _ in range(20): + test_random_manager() diff --git a/tests/managers/test_random_manager.py b/tests/managers/test_random_manager.py new file mode 100644 index 00000000..1f184148 --- /dev/null +++ b/tests/managers/test_random_manager.py @@ -0,0 +1,31 @@ +import random +from precise.skatervaluation.managercomparisonutil.managertesting import manager_test_run +from precise.skatertools.data.equityhistorical import random_cached_equity_dense +from numpy.testing import assert_array_almost_equal +import numpy as np + + +def assert_manager_does_not_alter_y(mgr): + ys = random_cached_equity_dense(k=1, n_obs=50, n_dim=5, as_frame=False) + s = {} + j = random.choice([1, 5, 20]) + q = random.choice([1.0, 0.1]) + for y in ys: + y_prev = [ yi for yi in y ] + w, s = mgr(y=y, s=s, j=j, q=q) + assert_array_almost_equal(np.array(y_prev), np.array(y), err_msg='manager '+str(mgr.__name__)+' alters y') + + +def test_random_manager(): + from precise.skaters.managers.allmanagers import LONG_MANAGERS + mgr = random.choice(LONG_MANAGERS) + print('Testing '+mgr.__name__) + assert_manager_does_not_alter_y(mgr=mgr) + j = random.choice([1,5,20]) + q = random.choice([1.0, 0.1]) + manager_test_run(mgr=mgr,j=j,q=q) + + +if __name__=='__main__': + for _ in range(250): + test_random_manager() \ No newline at end of file diff --git a/tests/managers/test_random_molyboga_manager.py b/tests/managers/test_random_molyboga_manager.py new file mode 100644 index 00000000..4aa3590b --- /dev/null +++ b/tests/managers/test_random_molyboga_manager.py @@ -0,0 +1,29 @@ +import random +from precise.skatervaluation.managercomparisonutil.managertesting import manager_test_run +from precise.skatertools.data.equityhistorical import random_cached_equity_dense +from precise.inclusion.pyportfoliooptinclusion import using_pyportfolioopt + +def test_random_molyboga_manager(): + if using_pyportfolioopt: + from precise.skaters.managers.molybogamanagers import MOLYBOGA_LONG_MANGERS + mgr = random.choice(MOLYBOGA_LONG_MANGERS) + j = random.choice([1, 5, 20]) + q = random.choice([1.0, 0.1]) + manager_test_run(mgr=mgr,j=j, q=q) + print(mgr.__name__+' ran okay') + + +def test_troublesome(): + if using_pyportfolioopt: + from precise.skaters.managers.molybogamanagers import molyboga_r001_s5_gamma000_long_manger as mgr + ys = random_cached_equity_dense(k=1, n_obs=50, n_dim=5, as_frame=False) + s = {} + for y in ys: + w, s = mgr(y=y, s=s) + + +if __name__=='__main__': + for _ in range(10): + test_troublesome() + for _ in range(100): + test_random_molyboga_manager() \ No newline at end of file diff --git a/tests/managers/test_random_ppo_manager.py b/tests/managers/test_random_ppo_manager.py new file mode 100644 index 00000000..7f0f87fe --- /dev/null +++ b/tests/managers/test_random_ppo_manager.py @@ -0,0 +1,16 @@ +import random +from precise.skatervaluation.managercomparisonutil.managertesting import manager_test_run +from precise.inclusion.pyportfoliooptinclusion import using_pyportfolioopt + + +def test_random_manager(verbose=False, n_dim=7): + if using_pyportfolioopt: + from precise.skaters.managers.ppomanagers import PPO_LONG_MANAGERS + mgr = random.choice(PPO_LONG_MANAGERS) + print(mgr.__name__) + manager_test_run(mgr=mgr, verbose=verbose, n_dim=n_dim) + + +if __name__=='__main__': + for _ in range(50): + test_random_manager(verbose=True, n_dim=500) \ No newline at end of file diff --git a/tests/managers/test_random_rfl_hrp_manager.py b/tests/managers/test_random_rfl_hrp_manager.py new file mode 100644 index 00000000..28644125 --- /dev/null +++ b/tests/managers/test_random_rfl_hrp_manager.py @@ -0,0 +1,17 @@ +import random +from precise.skatervaluation.managercomparisonutil.managertesting import manager_test_run + + +def test_random_manager(return_w=False): + from precise.skaters.managers.rflmanagers import RFL_LONG_MANAGERS + if RFL_LONG_MANAGERS: + mgr = random.choice(RFL_LONG_MANAGERS) + w = manager_test_run(mgr=mgr) + if return_w: + return w + + +if __name__=='__main__': + for _ in range(50): + w = test_random_manager(return_w=True) + print(w) \ No newline at end of file diff --git a/tests/managers/test_random_rp_hull_manager.py b/tests/managers/test_random_rp_hull_manager.py new file mode 100644 index 00000000..58be7ffe --- /dev/null +++ b/tests/managers/test_random_rp_hull_manager.py @@ -0,0 +1,16 @@ +from precise.inclusion.riskparityportfolioinclusion import using_riskparityportfolio +if using_riskparityportfolio: + import random + from precise.skatervaluation.managercomparisonutil.managertesting import manager_test_run, manager_debug_run + from precise.skaters.managers.rpmanagers import rp_ewa_r01_p40_l21_long_manager as troublesome_mgr + + + + def test_random_manager(): + from precise.skaters.managers.rpmanagers import RP_STOCHASTIC_LONG_MANAGERS + HULL = [s for s in RP_STOCHASTIC_LONG_MANAGERS if 'l21' in s.__name__] + mgr = random.choice(HULL) + j = random.choice([1, 5, 20]) + q = random.choice([1.0, 0.1]) + manager_test_run(mgr=mgr, j=j, q=q) + diff --git a/tests/managers/test_random_rp_manager.py b/tests/managers/test_random_rp_manager.py new file mode 100644 index 00000000..2c36138a --- /dev/null +++ b/tests/managers/test_random_rp_manager.py @@ -0,0 +1,15 @@ +from precise.inclusion.riskparityportfolioinclusion import using_riskparityportfolio +if using_riskparityportfolio: + + import random + from precise.skatervaluation.managercomparisonutil.managertesting import manager_test_run, manager_debug_run + from precise.skaters.managers.rpmanagers import rp_weak_pm_t0_p40_l21_long_manager as troublesome_mgr + + + def test_random_manager(): + from precise.skaters.managers.rpmanagers import RP_LONG_MANAGERS + mgr = random.choice(RP_LONG_MANAGERS) + j = random.choice([1, 5, 20]) + q = random.choice([1.0, 0.1]) + manager_test_run(mgr=mgr, j=j, q=q) + diff --git a/tests/managers/test_random_schur_manager.py b/tests/managers/test_random_schur_manager.py new file mode 100644 index 00000000..8dafc1dd --- /dev/null +++ b/tests/managers/test_random_schur_manager.py @@ -0,0 +1,27 @@ +import random +from precise.skatervaluation.managercomparisonutil.managertesting import manager_test_run +from precise.skatertools.data.equityhistorical import random_cached_equity_dense + + +def test_random_schur_manager(): + from precise.skaters.managers.schurmanagers import SCHUR_MANAGERS + mgr = random.choice(SCHUR_MANAGERS) + j = random.choice([1, 5, 20]) + q = random.choice([1.0, 0.1]) + manager_test_run(mgr=mgr,j=j, q=q) + print(mgr.__name__+' ran okay') + + +def test_troublesome(): + from precise.skaters.managers.schurmanagers import schur_diag_weak_pm_t0_r050_n25_s5_g010_long_manager as mgr + ys = random_cached_equity_dense(k=1, n_obs=50, n_dim=5, as_frame=False) + s = {} + for y in ys: + w, s = mgr(y=y, s=s) + + +if __name__=='__main__': + for _ in range(10): + test_troublesome() + for _ in range(100): + test_random_schur_manager() \ No newline at end of file diff --git a/tests/managers/test_random_slurp_manager.py b/tests/managers/test_random_slurp_manager.py new file mode 100644 index 00000000..959f0941 --- /dev/null +++ b/tests/managers/test_random_slurp_manager.py @@ -0,0 +1,31 @@ +import random +from precise.skatervaluation.managercomparisonutil.managertesting import manager_test_run +from precise.skatertools.data.equityhistorical import random_cached_equity_dense +from precise.inclusion.pyportfoliooptinclusion import using_pyportfolioopt +from precise.inclusion.riskparityportfolioinclusion import using_riskparityportfolio + + +def test_random_slurp_manager(): + from precise.skaters.managers.slurpmanagers import SLURP_LONG_MANAGERS + if SLURP_LONG_MANAGERS: + mgr = random.choice(SLURP_LONG_MANAGERS) + j = random.choice([1, 5, 20]) + q = random.choice([1.0, 0.1]) + manager_test_run(mgr=mgr,j=j, q=q) + print(mgr.__name__+' ran okay') + + +def test_troublesome(): + if using_pyportfolioopt and using_riskparityportfolio: + from precise.skaters.managers.slurpmanagers import slurp_vol_r001_s5_p20_g100_long_manger as mgr + ys = random_cached_equity_dense(k=1, n_obs=50, n_dim=5, as_frame=False) + s = {} + for y in ys: + w, s = mgr(y=y, s=s) + + +if __name__=='__main__': + for _ in range(10): + test_troublesome() + for _ in range(100): + test_random_slurp_manager() \ No newline at end of file diff --git a/tests/managers/test_random_weak_manager.py b/tests/managers/test_random_weak_manager.py new file mode 100644 index 00000000..e5a7057e --- /dev/null +++ b/tests/managers/test_random_weak_manager.py @@ -0,0 +1,14 @@ +import random +from precise.skatervaluation.managercomparisonutil.managertesting import manager_test_run + + +def test_random_weak_manager(): + from precise.skaters.managers.weakmanagers import WEAK_LONG_MANAGERS + mgr = random.choice(WEAK_LONG_MANAGERS) + manager_test_run(mgr=mgr) + + +if __name__=='__main__': + for k in range(250): + print(k) + test_random_weak_manager() \ No newline at end of file diff --git a/tests/managers/test_schur_l21.py b/tests/managers/test_schur_l21.py new file mode 100644 index 00000000..265bdc7e --- /dev/null +++ b/tests/managers/test_schur_l21.py @@ -0,0 +1,15 @@ +import random +from precise.skatervaluation.managercomparisonutil.managertesting import manager_debug_run + + +def test_random_schur_manager(): + from precise.skaters.managers.schurmanagers import schur_diag_weak_pm_t0_r050_n25_s5_g010_l21_long_manager as mgr + j = random.choice([1, 5, 20]) + q = random.choice([1.0, 0.1]) + manager_debug_run(mgr=mgr,j=j, q=q, n_obs=50,n_dim=17) + print(mgr.__name__+' ran okay') + + + +if __name__=='__main__': + test_random_schur_manager() \ No newline at end of file diff --git a/tests/managers/test_schur_specific_managers.py b/tests/managers/test_schur_specific_managers.py new file mode 100644 index 00000000..b3984320 --- /dev/null +++ b/tests/managers/test_schur_specific_managers.py @@ -0,0 +1,13 @@ +from precise.skatervaluation.managercomparisonutil.managertesting import manager_test_run +from precise.inclusion.pyportfoliooptinclusion import using_pyportfolioopt + + +def test_vol_vol(): + if using_pyportfolioopt: + from precise.skaters.managers.schurmanagers import schur_vol_vol_pm_t0_d0_r025_n50_s5_g100_long_manager as mgr + manager_test_run(mgr=mgr, n_obs=20) + + + +if __name__=='__main__': + test_vol_vol() \ No newline at end of file diff --git a/tests/managerutil/__init__.py b/tests/managerutil/__init__.py new file mode 100644 index 00000000..e69de29b diff --git a/tests/managerutil/test_ratchet.py b/tests/managerutil/test_ratchet.py new file mode 100644 index 00000000..daad0df0 --- /dev/null +++ b/tests/managerutil/test_ratchet.py @@ -0,0 +1,52 @@ +from precise.skaters.managerutil.ratcheting import ratchet_trades +import numpy as np + + +def test_ratchet_trades_with_no_opportunity(): + w = [5/15, 5/15, 5/15] + w_upper = [6/15, 6/15, 6/15] + w_lower = [4/15, 4/15, 4/15] + min_dw = 2 + expected_output = [0, 0, 0] + assert ratchet_trades(w, w_lower, w_upper, min_dw) == expected_output + + +def test_ratchet_trades_with_opportunity(): + w = [7/21, 7/21, 7/21] + w_upper = [10/21, 6/21, 10/21] + w_lower = [8/21, 4/21, 8/21] + min_dw = 0.1 + dw = ratchet_trades(w, w_upper, w_lower, min_dw) + assert dw[1]<0 + assert dw[2]>0 + + +def test_ratchet_trades_with_mixed_opportunity(): + w = [1/7, 3/7, 3/7] + w_upper = [6/7, 6/7, 2/7] + w_lower = [2/7, 4/7, 1/7] + min_dw = 0.1 + dw = ratchet_trades(w, w_lower, w_upper, min_dw) + assert dw[0]+dw[1]>0 + assert dw[2]<0 + + +def test_random(): + w = sorted(np.random.rand(50)) + w = w/sum(w) + w_ = np.random.rand(50) + w_ = w_ / sum(w_) + w_upper = 1.01*w_ + w_lower = 0.99*w_ + dw = ratchet_trades(w=w, w_lower=w_lower, w_upper=w_upper, min_dw=0.001) + assert abs(sum(dw))<1e-6 + + + + + +if __name__=='__main__': + test_random() + test_ratchet_trades_with_mixed_opportunity() + test_ratchet_trades_with_opportunity() + test_ratchet_trades_with_no_opportunity() \ No newline at end of file diff --git a/tests/portfolio/__init__.py b/tests/portfolio/__init__.py new file mode 100644 index 00000000..e69de29b diff --git a/tests/portfolio/test_all_port.py b/tests/portfolio/test_all_port.py new file mode 100644 index 00000000..9ff7be51 --- /dev/null +++ b/tests/portfolio/test_all_port.py @@ -0,0 +1,28 @@ +from precise.skaters.covarianceutil.covrandom import random_band_cov +import numpy as np +from precise.skaters.portfoliostatic.allstaticport import PORT +from precise.inclusion.pyportfoliooptinclusion import using_pyportfolioopt + +if using_pyportfolioopt: + from pypfopt.exceptions import OptimizationError + + +def test_all(): + cov = random_band_cov() + n_dim = np.shape(cov)[0] + for port in PORT: + print(port) + try: + w = port(cov=cov) + w_dim = len(w) + if not len(w) == np.shape(cov)[0]: + print(' ... and something is askew with ' + port.__name__ + ' as len=' + str(w_dim) + ' not ' + str( + n_dim)) + pass + except OptimizationError: + print(' ... and for n_dim='+str(n_dim)+ ' the optimization failed when calling '+str(port.__name__)) + + + +if __name__=='__main__': + test_all() \ No newline at end of file diff --git a/tests/portfolio/test_hrp.py b/tests/portfolio/test_hrp.py new file mode 100644 index 00000000..0244e968 --- /dev/null +++ b/tests/portfolio/test_hrp.py @@ -0,0 +1,14 @@ +from precise.skaters.covarianceutil.covrandom import random_band_cov +from precise.skaters.portfoliostatic.schurportfactory import schur_portfolio_factory +import numpy as np + + +def test_hrp(): + cov = random_band_cov() + print(np.shape(cov)) + w = schur_portfolio_factory(cov=cov) + assert len(w) == np.shape(cov)[0], ' dim mismatch ' + + +if __name__ == '__main__': + test_hrp() diff --git a/tests/portfolio/test_lemmas.py b/tests/portfolio/test_lemmas.py new file mode 100644 index 00000000..c4f094f3 --- /dev/null +++ b/tests/portfolio/test_lemmas.py @@ -0,0 +1,10 @@ +import numpy as np +from precise.skaters.portfolioutil.unitlemmas import quirky_solve + + +def test_lemmas(): + A = np.cov(np.random.randn(500, 10), rowvar=False) + b = np.random.randn(10) + x1 = np.linalg.solve(A, b) + x2 = quirky_solve(A=A, b=b) + assert np.allclose(x1, x2) diff --git a/tests/portfolio/test_parity.py b/tests/portfolio/test_parity.py new file mode 100644 index 00000000..d652ed76 --- /dev/null +++ b/tests/portfolio/test_parity.py @@ -0,0 +1,10 @@ +from precise.skaters.covarianceutil.covrandom import random_band_cov +from precise.skaters.portfoliostatic.hrpport import hrp_unit_unit_s5_port +import numpy as np + + +def test_parity(): + cov = random_band_cov() + print(np.shape(cov)) + w = hrp_unit_unit_s5_port(cov=cov) + print(sum(w)) \ No newline at end of file diff --git a/tests/portfolio/test_ppo.py b/tests/portfolio/test_ppo.py new file mode 100644 index 00000000..8ac7d2df --- /dev/null +++ b/tests/portfolio/test_ppo.py @@ -0,0 +1,38 @@ +from precise.skaters.covarianceutil.covrandom import random_band_cov +import numpy as np +from precise.inclusion.pyportfoliooptinclusion import using_pyportfolioopt + + +def test_ppo_import(): + if using_pyportfolioopt: + from precise.skaters.portfoliostatic.ppoportfactory import ppo_sharpe_port, ppo_quad_port, ppo_vol_port + + +def test_ppo_sharpe(): + if using_pyportfolioopt: + from precise.skaters.portfoliostatic.ppoportfactory import ppo_sharpe_port + cov = random_band_cov() + w = ppo_sharpe_port(cov=cov) + assert len(w) == np.shape(cov)[0], ' dim mismatch ' + + +def test_ppo_quad(): + if using_pyportfolioopt: + from precise.skaters.portfoliostatic.ppoportfactory import ppo_sharpe_port, ppo_quad_port + cov = random_band_cov() + w = ppo_quad_port(cov=cov) + assert len(w) == np.shape(cov)[0], ' dim mismatch ' + + +def test_ppo_quad(): + if using_pyportfolioopt: + from precise.skaters.portfoliostatic.ppoportfactory import ppo_quad_port + cov = random_band_cov() + w = ppo_quad_port(cov=cov) + assert len(w) == np.shape(cov)[0], ' dim mismatch ' + + +if __name__ == '__main__': + test_ppo_import() + test_ppo_sharpe() + test_ppo_quad() diff --git a/tests/portfolio/test_rp.py b/tests/portfolio/test_rp.py new file mode 100644 index 00000000..6dc13bd1 --- /dev/null +++ b/tests/portfolio/test_rp.py @@ -0,0 +1,29 @@ +from precise.skaters.covarianceutil.covrandom import random_band_cov +from precise.inclusion.riskparityportfolioinclusion import using_riskparityportfolio +if using_riskparityportfolio: + from precise.skaters.portfoliostatic.rpportfactory import rp_portfolio_factory + import numpy as np + from precise.skaters.locationutil.vectorfunctions import scatter + + + def test_rp(): + cov = random_band_cov(n_dim=5) + print(np.shape(cov)) + w = rp_portfolio_factory(cov=cov) + assert len(w) == np.shape(cov)[0], ' dim mismatch ' + contrib = w * np.dot(cov, w) + print(contrib) + + + def test_rp_diag(): + cov = np.diag(list(np.ones(5)) + list(2 * np.ones(5))) + print(np.shape(cov)) + w = rp_portfolio_factory(cov=cov, mu=0.02, risk_free_rate=0.02) + assert len(w) == np.shape(cov)[0], ' dim mismatch ' + contrib = w * np.dot(cov, w) + print(contrib) + + +if __name__ == '__main__': + if using_riskparityportfolio: + test_rp() diff --git a/tests/portfolio/test_schur.py b/tests/portfolio/test_schur.py new file mode 100644 index 00000000..0b3e8cf7 --- /dev/null +++ b/tests/portfolio/test_schur.py @@ -0,0 +1,18 @@ +from precise.skaters.covarianceutil.covrandom import random_band_cov, random_factor_cov +from precise.skaters.portfoliostatic.schurport import SCHUR_PORT +import numpy as np + + +def test_schur(): + cov = random_band_cov(n=1000) + cov = random_factor_cov(n=1000, n_dim=64) + print(np.shape(cov)) + print(len(SCHUR_PORT)) + for port in SCHUR_PORT: + print(port) + w = port(cov=cov) + assert len(w) == np.shape(cov)[0], ' dim mismatch ' + + +if __name__ == '__main__': + test_schur() diff --git a/tests/portfolio/test_schur_weak.py b/tests/portfolio/test_schur_weak.py new file mode 100644 index 00000000..fc8c3e54 --- /dev/null +++ b/tests/portfolio/test_schur_weak.py @@ -0,0 +1,17 @@ +from precise.skaters.covarianceutil.covrandom import random_band_cov, random_factor_cov +from precise.skaters.portfoliostatic.schurport import schur_weak_weak_s5_g100_long_port as mgr +import numpy as np + + +def test_schur(): + cov = random_band_cov(n=1000) + cov = random_factor_cov(n=1000, n_dim=25) + schur_ports = [mgr] + for port in schur_ports: + print(port) + w = port(cov=cov) + assert len(w) == np.shape(cov)[0], ' dim mismatch ' + + +if __name__ == '__main__': + test_schur() diff --git a/tests/portfolio/test_unitary_minimize.py b/tests/portfolio/test_unitary_minimize.py new file mode 100644 index 00000000..01da2146 --- /dev/null +++ b/tests/portfolio/test_unitary_minimize.py @@ -0,0 +1,29 @@ +from precise.skatertools.m6.covarianceforecasting import m6_cov +from precise.skaters.portfoliostatic.weakportfactory import _weak_from_cov, _weak_optimal_b +from precise.skaters.portfolioutil.portfunctions import portfolio_variance, exclude_negative_weights +from pprint import pprint +from precise.inclusion.pyportfoliooptinclusion import using_pyportfolioopt + + +def dont_test_me_i_take_too_long(): + if using_pyportfolioopt: + from precise.skaters.portfoliostatic.ppoportfactory import ppo_vol_long_from_cov + n_dim = 95 + dfcov0 = m6_cov(interval='d', n_dim=n_dim, n_obs=140) + cov0 = dfcov0.values + w0 = _weak_from_cov(cov0) + wl = ppo_vol_long_from_cov(cov0) + v0 = portfolio_variance(cov0, w0) + vl = portfolio_variance(cov0, wl) + wn, wn_neg = exclude_negative_weights(w0, with_neg_mass=True) + vn = portfolio_variance(cov0, wn) + wm, wm_neg = _weak_optimal_b(cov=cov0, with_neg_mass=True) + vm = portfolio_variance(cov0.copy(), wm) + + rankings = [(v0, 'unitary'), (vl, 'long'), (vn, ('exclude', wn_neg)), (vm,('minimize',wm_neg))] + print(' ') + pprint(sorted(rankings)) + + +if __name__=='__main__': + dont_test_me_i_take_too_long() \ No newline at end of file diff --git a/tests/portfolio/test_weak.py b/tests/portfolio/test_weak.py new file mode 100644 index 00000000..be17c6a6 --- /dev/null +++ b/tests/portfolio/test_weak.py @@ -0,0 +1,35 @@ +from precise.skaters.covarianceutil.covrandom import random_band_cov +from precise.skaters.portfoliostatic.weakportfactory import weak_portfolio_factory +import numpy as np +from precise.skaters.covarianceutil.covfunctions import nearest_pos_def, is_positive_def + + +def test_weak(): + cov = random_band_cov() + print(np.shape(cov)) + w = weak_portfolio_factory(cov=cov) + assert all([wi >= 0 for wi in w]), ' weak portfolio was not long only' + assert len(w) == np.shape(cov)[0], ' dim mismatch ' + + +def test_weak_entropish(): + cov = random_band_cov() + print(np.shape(cov)) + w = weak_portfolio_factory(cov=cov, h=2) + assert all([wi >= 0 for wi in w]), ' weak portfolio was not long only' + + +def test_weak_entropish_again(): + cov = random_band_cov(n_dim=5) + print(np.shape(cov)) + w = weak_portfolio_factory(cov=cov, h=5.0) + assert len(w) == np.shape(cov)[0], ' dim mismatch ' + contrib = w * np.dot(cov, w) + print(contrib) + w_eq = np.ones_like(w) / len(w) + contrib_eq = w_eq * np.dot(cov, w_eq) + print(contrib_eq) + + +if __name__ == '__main__': + test_weak_entropish_again() diff --git a/tests/portfolio/test_weak_params.py b/tests/portfolio/test_weak_params.py new file mode 100644 index 00000000..cd2ef79f --- /dev/null +++ b/tests/portfolio/test_weak_params.py @@ -0,0 +1,48 @@ +from precise.skatertools.m6.covarianceforecasting import m6_cov +from precise.skaters.portfoliostatic.unitportfactory import unitary_from_cov +from precise.skaters.portfoliostatic.weakportfactory import _weak_known_params +from precise.skaters.portfolioutil.portfunctions import portfolio_variance, exclude_negative_weights +from pprint import pprint +from precise.skaters.covarianceutil.covrandom import random_band_cov + +from precise.inclusion.pyportfoliooptinclusion import using_pyportfolioopt + + +def test_weak_with_different_params(real_data=False): + n_dim = 48 + if real_data: + dfcov0 = m6_cov(interval='d', n_dim=n_dim, n_obs=100) + cov0 = dfcov0.values + else: + cov0 = random_band_cov(n_dim=3, n_bands=3, n=5000) + + w0 = unitary_from_cov(cov=cov0) + v0 = portfolio_variance(w=w0, cov=cov0) + + wn, wn_neg = exclude_negative_weights(w0, with_neg_mass=True) + vn = portfolio_variance(w=wn, cov=cov0) + + rankings = [(v0, 'unitary'), (vn, ('exclude', wn_neg))] + + try: + if using_pyportfolioopt: + from precise.skaters.portfoliostatic.ppoportfactory import ppo_vol_long_from_cov + wl = ppo_vol_long_from_cov(cov=cov0) + vl = portfolio_variance(w=wl, cov=cov0) + rankings.append((vl, ('optimizer'))) + except: + print('Optimizer failed') + pass + + for a in [1.0]: + for b in [0.8, 0.1, 0.2, 0.3, 0.4, 0.5, 0.6, 0.7, 0.8, 0.85, 0.9, 0.95, 1.0, 1.1, 1.2, 1.5]: + if a >= b: + wl, neg_mass = _weak_known_params(cov=cov0.copy(), a=a, b=b, w0=w0, with_neg_mass=True) + vl = portfolio_variance(cov=cov0, w=wl) + rankings.append((vl, (a, b, neg_mass))) + print(' ') + pprint(sorted(rankings, key=lambda x: x[0])) + + +if __name__ == '__main__': + test_weak_with_different_params(real_data=False) diff --git a/tests/portfolio/test_weak_stuff.py b/tests/portfolio/test_weak_stuff.py new file mode 100644 index 00000000..b587428e --- /dev/null +++ b/tests/portfolio/test_weak_stuff.py @@ -0,0 +1,50 @@ + +from precise.skaters.covarianceutil.covrandom import random_band_cov +from precise.skaters.portfoliostatic.weakportfactory import weak_portfolio_factory +from precise.skaters.portfoliostatic.weakport import weak_long_port +from precise.skaters.portfoliostatic.unitport import unit_port +import numpy as np +from precise.skaters.locationutil.vectorfunctions import scatter +from precise.skaters.covarianceutil.covfunctions import cov_to_corrcoef, nearest_pos_def, is_positive_def + + +def test_little_example(): + corr = np.array( [[1, -0.5, 0.3], + [-0.5, 1, 0.1], + [0.3, 0.1, 1]]) + sgma = np.array([1.0, 1.5, 2.0]) + cov = scatter(sgma)*corr + corr1 = cov_to_corrcoef(cov) + w1 = weak_portfolio_factory(cov=cov) + + cov2 = cov[:2,:2] + w2 = unit_port(cov=cov2) + w3 = weak_portfolio_factory(cov=cov2) + + +def test_bigger_example(): + from pprint import pprint + corr = nearest_pos_def(np.array( [[1, -0.8, 0.3, 0.2], + [-0.8, 1, 0.7, 0.3 ], + [0.3, 0.7, 1, -0.8], + [0.2, -0.3, -0.8, 1]])) + sgma = np.array([1.0, 1.5, 1.25, 0.9]) + cov = scatter(sgma)*corr + cov = nearest_pos_def(cov) + pprint(cov) + pprint(cov_to_corrcoef(cov)) + w0 = unit_port(cov=cov) + print(w0) + + w1 = weak_portfolio_factory(cov=cov) + + print(w1) + + + + + + + +if __name__=='__main__': + test_bigger_example() \ No newline at end of file diff --git a/tests/portfolioutil/__init__.py b/tests/portfolioutil/__init__.py new file mode 100644 index 00000000..e69de29b diff --git a/tests/portfolioutil/test_portgeom.py b/tests/portfolioutil/test_portgeom.py new file mode 100644 index 00000000..9d093fe3 --- /dev/null +++ b/tests/portfolioutil/test_portgeom.py @@ -0,0 +1,16 @@ +import random +from precise.skaters.portfolioutil.portgeometry import verbosely_choose_close_point_on_boundary_of_convex_hull +import numpy as np + + +def test_geom(): + n_dim = random.choice([1,2,500]) + n_port = random.choice([1 ,2 ,25]) + x1 = np.random.randn(n_dim) + xs = [ xi +x1 for xi in np.random.randn(n_port ,n_dim) ] + x = verbosely_choose_close_point_on_boundary_of_convex_hull(xs, verbose=True) + + +if __name__=='__main__': + for _ in range(20): + test_geom() diff --git a/tests/scalar/__init__.py b/tests/scalar/__init__.py new file mode 100644 index 00000000..e69de29b diff --git a/tests/scalar/test_gen_huber.py b/tests/scalar/test_gen_huber.py new file mode 100644 index 00000000..565da050 --- /dev/null +++ b/tests/scalar/test_gen_huber.py @@ -0,0 +1,17 @@ + +from precise.skaters.locationutil.hubermean import huber_mean +import numpy as np + + +def test_huber_mean(): + n_vars = 5 + n_samples = 50 + xs = np.random.randn(n_samples ,n_vars) + a = 1.0 + b = 1.5 + x_median = np.median(xs ,axis=0) + x_mean = np.mean(xs ,axis=0) + mu = huber_mean(xs=xs) + ratios = (mu-x_median)/(x_mean-x_median) + assert True + diff --git a/tests/scalar/test_huber_asym.py b/tests/scalar/test_huber_asym.py new file mode 100644 index 00000000..dbc7495f --- /dev/null +++ b/tests/scalar/test_huber_asym.py @@ -0,0 +1,19 @@ + +import math + + +def huber_ratio(x): + a = 0.2 + b = 1.0 + f = math.log(math.exp(a * x) + math.exp(-(a * x)) + b) / a + c = math.log(2 + b) / a + d = a / (2 + b) # f-c -> d y**2 + g = (f - c) / d # g -> y**2 + h = x ** 2 + r = g / h + return r + + +def test_huber_asym(): + # Quick test of the near zero asymptote + assert abs(huber_ratio(x=0.0001)-1)<1e-2 diff --git a/tests/scalar/test_median.py b/tests/scalar/test_median.py new file mode 100644 index 00000000..d63ecaf8 --- /dev/null +++ b/tests/scalar/test_median.py @@ -0,0 +1,11 @@ +import numpy as np +import random +from precise.skaters.scalarutil.runningmedian import med + + +def test_running_median(): + xs = np.random.randn(random.choice([1, 5, 10, 1000])) + s = {} + for x in xs: + s = med(s=s, x=x) + assert s['median'] == np.median(xs) \ No newline at end of file diff --git a/tests/skatertools/__init__.py b/tests/skatertools/__init__.py new file mode 100644 index 00000000..e69de29b diff --git a/tests/skatertools/dictionaries/__init__.py b/tests/skatertools/dictionaries/__init__.py new file mode 100644 index 00000000..e69de29b diff --git a/tests/skatertools/dictionaries/debug_skatercovariance.py b/tests/skatertools/dictionaries/debug_skatercovariance.py new file mode 100644 index 00000000..9f7c8a92 --- /dev/null +++ b/tests/skatertools/dictionaries/debug_skatercovariance.py @@ -0,0 +1,74 @@ +# Example skater function following the precise package conventions +from precise.skatertools.dictionaries.skatercovariance import SkaterCovariance +import numpy as np + +if __name__ == '__main__': + from precise.skaters.covariance.ewaemp import ewa_emp_pcov_d0_r01 + + def f(y, s, k=1): + return ewa_emp_pcov_d0_r01(y=y, s=s, k=k) + + # Initialize SkaterCovariance with the example skater + skater_cov = SkaterCovariance(min_longevity_for_clone=2) + + # Simulated data updates (larger and with more keys) + data_stream = [ + # Universe 1: Keys A-F + {'A': np.random.randn(), 'B': np.random.randn(), 'C': np.random.randn(), + 'D': np.random.randn(), 'E': np.random.randn(), 'F': np.random.randn()}, + {'A': np.random.randn(), 'B': np.random.randn(), 'C': np.random.randn(), + 'D': np.random.randn(), 'E': np.random.randn(), 'F': np.random.randn()}, + {'A': np.random.randn(), 'B': np.random.randn(), 'C': np.random.randn(), + 'D': np.random.randn(), 'E': np.random.randn(), 'F': np.random.randn()}, + {'A': np.random.randn(), 'B': np.random.randn(), 'C': np.random.randn(), + 'D': np.random.randn(), 'E': np.random.randn(), 'F': np.random.randn()}, + {'A': np.random.randn(), 'B': np.random.randn(), 'C': np.random.randn(), + 'D': np.random.randn(), 'E': np.random.randn(), 'F': np.random.randn()}, + # Universe 2: Keys B-G (A leaves, G enters) + {'B': np.random.randn(), 'C': np.random.randn(), 'D': np.random.randn(), + 'E': np.random.randn(), 'F': np.random.randn(), 'G': np.random.randn()}, + {'B': np.random.randn(), 'C': np.random.randn(), 'D': np.random.randn(), + 'E': np.random.randn(), 'F': np.random.randn(), 'G': np.random.randn()}, + {'B': np.random.randn(), 'C': np.random.randn(), 'D': np.random.randn(), + 'E': np.random.randn(), 'F': np.random.randn(), 'G': np.random.randn()}, + {'B': np.random.randn(), 'C': np.random.randn(), 'D': np.random.randn(), + 'E': np.random.randn(), 'F': np.random.randn(), 'G': np.random.randn()}, + {'B': np.random.randn(), 'C': np.random.randn(), 'D': np.random.randn(), + 'E': np.random.randn(), 'F': np.random.randn(), 'G': np.random.randn()}, + # Universe 3: Keys C-H (B leaves, H enters) + {'C': np.random.randn(), 'D': np.random.randn(), 'E': np.random.randn(), + 'F': np.random.randn(), 'G': np.random.randn(), 'H': np.random.randn()}, + {'C': np.random.randn(), 'D': np.random.randn(), 'E': np.random.randn(), + 'F': np.random.randn(), 'G': np.random.randn(), 'H': np.random.randn()}, + {'C': np.random.randn(), 'D': np.random.randn(), 'E': np.random.randn(), + 'F': np.random.randn(), 'G': np.random.randn(), 'H': np.random.randn()}, + {'C': np.random.randn(), 'D': np.random.randn(), 'E': np.random.randn(), + 'F': np.random.randn(), 'G': np.random.randn(), 'H': np.random.randn()}, + {'C': np.random.randn(), 'D': np.random.randn(), 'E': np.random.randn(), + 'F': np.random.randn(), 'G': np.random.randn(), 'H': np.random.randn()}, + # Universe 4: Keys D-I (C leaves, I enters) + {'D': np.random.randn(), 'E': np.random.randn(), 'F': np.random.randn(), + 'G': np.random.randn(), 'H': np.random.randn(), 'I': np.random.randn()}, + {'D': np.random.randn(), 'E': np.random.randn(), 'F': np.random.randn(), + 'G': np.random.randn(), 'H': np.random.randn(), 'I': np.random.randn()}, + {'D': np.random.randn(), 'E': np.random.randn(), 'F': np.random.randn(), + 'G': np.random.randn(), 'H': np.random.randn(), 'I': np.random.randn()}, + {'D': np.random.randn(), 'E': np.random.randn(), 'F': np.random.randn(), + 'G': np.random.randn(), 'H': np.random.randn(), 'I': np.random.randn()}, + {'D': np.random.randn(), 'E': np.random.randn(), 'F': np.random.randn(), + 'G': np.random.randn(), 'H': np.random.randn(), 'I': np.random.randn()}, + ] + # Update with data points + for x in data_stream: + print({'y':x}) + skater_cov.update(x=x, f=f) + + # Second lap + for x in data_stream: + print({'y': x}) + skater_cov.update(x=x,f=f) + + # Retrieve correlation matrix + corr_matrix = skater_cov.get_corr() + print("\nCorrelation Matrix:") + print(corr_matrix) diff --git a/tests/skatertools/dictionaries/test_skatercovariance.py b/tests/skatertools/dictionaries/test_skatercovariance.py new file mode 100644 index 00000000..ee011539 --- /dev/null +++ b/tests/skatertools/dictionaries/test_skatercovariance.py @@ -0,0 +1,47 @@ +import pytest +import numpy as np +from precise.skatertools.dictionaries.skatercovariance import SkaterCovariance +from precise.skaters.covariance.ewaemp import ewa_emp_pcov_d0_r01 + +@pytest.fixture +def skater_cov(): + """Fixture to initialize SkaterCovariance.""" + return SkaterCovariance(min_longevity_for_clone=2) + +def example_data_stream(): + """Generate a simulated data stream.""" + return [ + # Universe 1: Keys A-F + {'A': np.random.randn(), 'B': np.random.randn(), 'C': np.random.randn(), + 'D': np.random.randn(), 'E': np.random.randn(), 'F': np.random.randn()}, + # Universe 2: Keys B-G (A leaves, G enters) + {'B': np.random.randn(), 'C': np.random.randn(), 'D': np.random.randn(), + 'E': np.random.randn(), 'F': np.random.randn(), 'G': np.random.randn()}, + # Universe 3: Keys C-H (B leaves, H enters) + {'C': np.random.randn(), 'D': np.random.randn(), 'E': np.random.randn(), + 'F': np.random.randn(), 'G': np.random.randn(), 'H': np.random.randn()}, + # Universe 4: Keys D-I (C leaves, I enters) + {'D': np.random.randn(), 'E': np.random.randn(), 'F': np.random.randn(), + 'G': np.random.randn(), 'H': np.random.randn(), 'I': np.random.randn()}, + ] * 5 # Repeat for multiple updates + +@pytest.mark.parametrize("k", [1]) +def test_skater_covariance(skater_cov, k): + """Test SkaterCovariance updates and correlation matrix retrieval.""" + data_stream = example_data_stream() + + def f(y, s, k=k): + return ewa_emp_pcov_d0_r01(y=y, s=s, k=k) + + # First update lap + for x in data_stream: + skater_cov.update(x=x, f=f) + + # Second update lap and correlation matrix retrieval + for x in data_stream: + skater_cov.update(x=x, f=f) + corr_matrix = skater_cov.get_corr() + + # Assert correlation matrix is not None and is square + assert corr_matrix is not None, "Correlation matrix is None" + assert corr_matrix.shape[0] == corr_matrix.shape[1], "Correlation matrix is not square" diff --git a/tests/sources/__init__.py b/tests/sources/__init__.py new file mode 100644 index 00000000..e69de29b diff --git a/tests/sources/test_sources.py b/tests/sources/test_sources.py new file mode 100644 index 00000000..961a7080 --- /dev/null +++ b/tests/sources/test_sources.py @@ -0,0 +1,49 @@ +from precise.skatervaluation.battledata.sourceconventions import verify_source_outputs +from precise.skatervaluation.battledata.stockssource import stocks_source +from precise.skatervaluation.battledata.tmsource import tm_source +from precise.skatervaluation.battledata.m6source import m6_source +from precise.skatervaluation.battledata.allsources import params_category_and_data + + +def dont_test_m6_source_directly(): + verify_source_outputs(m6_source(params={'n_dim':5})) + + +def dont_test_m6_source_directly_no_etf(): + verify_source_outputs(m6_source(params={'etf':0,'n_dim':5})) + + +def dont_test_tm_source_directly(): + verify_source_outputs(tm_source(params={})) + + +def dont_test_tm_source_directly_noncollinear(): + verify_source_outputs(tm_source(params={'collinear':0})) + + +def dont_test_stocks_source_directly(): + verify_source_outputs(stocks_source(params={})) + + +def dont_test_tm_source_via_dispatch(): + verify_source_outputs(params_category_and_data(params={'topic':'tm'})) + + +def dont_test_stocks_source_via_dispatch(): + verify_source_outputs(params_category_and_data(params={'topic':'stocks'})) + + +def dont_test_m6_source_via_dispatch(): + verify_source_outputs(params_category_and_data(params={'topic':'m6','n_dim':5})) + + +if __name__=='__main__': + dont_test_tm_source_directly_noncollinear() + dont_test_stocks_source_directly() + dont_test_tm_source_directly() + dont_test_tm_source_via_dispatch() + dont_test_tm_source_via_dispatch() + dont_test_stocks_source_via_dispatch() + dont_test_m6_source_via_dispatch() + dont_test_m6_source_directly_no_etf + diff --git a/tests/test_examples_basic_usage.py b/tests/test_examples_basic_usage.py new file mode 100644 index 00000000..dadb33ad --- /dev/null +++ b/tests/test_examples_basic_usage.py @@ -0,0 +1,60 @@ +from precise.skaters.covarianceutil.covfunctions import cov_to_corrcoef +from precise.skaters.covarianceutil.statemutations import both_cov + + +def test_manifesto(): + from precise.skaters.covariance.allcovskaters import cov_skater_manifest + stuff = cov_skater_manifest() + + +def test_emp(): + ys = create_correlated_dataset(n=500) + s = {} + for y in ys: + x, x_cov, s = run_emp_pcov_d0(s=s, y=y) + pcorr = cov_to_corrcoef(x_cov) + pprint(pcorr) # Population correlation + ys = create_correlated_dataset(n=500) + s = {} + for y in ys: + x, x_cov, s = run_emp_pcov_d0(s=s, y=y) + pprint(s) + + ys = create_correlated_dataset(n=500) + s = {} + for y in ys: + x, x_cov, s = run_emp_pcov_d0(s=s, y=y) # <--- + s = both_cov(s) # <--- Peek in the state and converts scov to pcov + scorr = cov_to_corrcoef(s['scov']) + s = both_cov(s) # <--- Converts scov to pcov + pprint(s['scov']) + pprint(s['scov']) + + + +from precise.skatertools.syntheticdata.miscellaneous import create_correlated_dataset +from precise.skaters.covariance.bufsk import buf_sk_oas_pcov_d0_n100 +from precise.skaters.covariance.runemp import run_emp_pcov_d0 +from precise.skaters.covarianceutil.statefunctions import oas +from pprint import pprint + +# Basic show_em of running OAS covariancecomparisonutil +# (just a simple function of the running state) + + +def test_oas(): + ys = create_correlated_dataset(n=50) + + # Method 1: Slow + s1 = {} + for y in ys[:3]: + x, x_cov, s1 = buf_sk_oas_pcov_d0_n100(s=s1, y=y) + print(x_cov) + + # Method 2: Use the empirical skater and, when you need it, apply the OAS helper + # (Will be the same but only so long as nn_buffer: + x_seen.pop(0) + s = med(s=s, x=x, n_buffer=n_buffer) + np_median = np.nanmedian(x_seen, axis=0) + s_median = s['median'] + if not np.allclose(np_median, s_median, atol=1e-6, equal_nan=True): + print('urgh') + assert False + + +if __name__=='__main__': + test_buffer_median() \ No newline at end of file diff --git a/testserrors/__init__.py b/testserrors/__init__.py new file mode 100644 index 00000000..e69de29b diff --git a/testserrors/managers/__init__.py b/testserrors/managers/__init__.py new file mode 100644 index 00000000..e69de29b diff --git a/testserrors/managers/molyboga_r025_s25_gamma100_long_manager_b2f8d25f-db32-413d-928e-84d32f743cf2.json b/testserrors/managers/molyboga_r025_s25_gamma100_long_manager_b2f8d25f-db32-413d-928e-84d32f743cf2.json new file mode 100644 index 00000000..a3ce696b --- /dev/null +++ b/testserrors/managers/molyboga_r025_s25_gamma100_long_manager_b2f8d25f-db32-413d-928e-84d32f743cf2.json @@ -0,0 +1 @@ +{"traceback": "Traceback (most recent call last):\n File \"/Users/petercotton/github/precise/precise/skaters/managerutil/managertesting.py\", line 47, in manager_test_run\n w, s = mgr(y=y, s=s, e=1, j=j, q=q)\n File \"/Users/petercotton/github/precise/precise/skaters/managers/molybogamanagers.py\", line 51, in molyboga_r025_s25_gamma100_long_manager\n return molyboga_manager_factory(y=y, s=s, r=0.025, e=e, gamma=1.0, delta=0,j=j,q=q)\n File \"/Users/petercotton/github/precise/precise/skaters/managers/molybogamanagerfactory.py\", line 36, in molyboga_manager_factory\n return static_cov_manager_factory_d0(f=f, port=sch_port, y=y, s=s, e=e, zeta=zeta,j=j,q=q)\n File \"/Users/petercotton/github/precise/precise/skaters/managers/covmanagerfactory.py\", line 159, in static_cov_manager_factory_d0\n w, s_account = _periodic_nudge(port=port, y=y, j=j, s=s_account, cov=x_cov, port_kwargs=port_kwargs,\n File \"/Users/petercotton/github/precise/precise/skaters/managers/covmanagerfactory.py\", line 77, in _periodic_nudge\n w = port(cov=cov, **port_kwargs)\n File \"/Users/petercotton/github/precise/precise/skaters/portfoliostatic/schurportfactory.py\", line 23, in schur_portfolio_factory\n return hierarchical_seriation_portfolio_factory(seriator=seriator, alloc=alloc, port=port, splitter=splitter, cov=cov, pre=pre, n_split=n_split, port_kwargs=port_kwargs)\n File \"/Users/petercotton/github/precise/precise/skaters/portfoliostatic/schurportfactory.py\", line 51, in hierarchical_seriation_portfolio_factory\n File \"/Users/petercotton/github/precise/precise/skaters/portfoliostatic/schurportfactory.py\", line 91, in corr_seriation_portfolio_factory\n # Allocate capital to ordered assets\n File \"/Users/petercotton/github/precise/precise/skaters/portfoliostatic/schurportfactory.py\", line 124, in hierarchical_seriated_portfolio_factory\n # Schur complementary portfolio construction (yours truly)\n File \"/Users/petercotton/github/precise/precise/skaters/portfoliostatic/schurportfactory.py\", line 185, in hierarchical_schur_complementary_portfolio\n wA = hierarchical_seriated_portfolio_factory(alloc=alloc, cov=Ag, port=port, splitter=splitter, gamma=gamma)\n File \"/Users/petercotton/github/precise/precise/skaters/portfoliostatic/schurportfactory.py\", line 146, in hierarchical_schur_complementary_portfolio\n # Augment the cov matrices before passing down\n File \"/Users/petercotton/github/precise/precise/skaters/portfoliostatic/schurportfactory.py\", line 248, in _maximal_gamma\n x1=0.5, xtol=0.05, bracket=(0,0.95), maxiter=5)\n File \"/Users/petercotton/virtual-envs/precise/lib/python3.8/site-packages/scipy/optimize/_root_scalar.py\", line 249, in root_scalar\n r, sol = methodc(f, a, b, args=args, **kwargs)\n File \"/Users/petercotton/virtual-envs/precise/lib/python3.8/site-packages/scipy/optimize/_zeros_py.py\", line 556, in bisect\n r = _zeros._bisect(f, a, b, xtol, rtol, maxiter, args, full_output, disp)\n File \"/Users/petercotton/github/precise/precise/skaters/portfoliostatic/schurportfactory.py\", line 242, in _gamma_objective\n Dg = pseudo_schur_complement(A=D, B=C, C=B, D=A, gamma=gamma)\n File \"/Users/petercotton/github/precise/precise/skaters/portfoliostatic/schurportfactory.py\", line 226, in pseudo_schur_complement\n Mt = np.transpose(M)\n File \"/Users/petercotton/github/precise/precise/skaters/portfoliostatic/schurportutil.py\", line 27, in symmetric_step_up_matrix\n M = M + _Mj(n1 ,n2 ,j ) /n1\n File \"/Users/petercotton/github/precise/precise/skaters/portfoliostatic/schurportutil.py\", line 9, in _Mj\n assert abs(n1 - n2) <= 1\nAssertionError\n", "exception": "", "manager": "molyboga_r025_s25_gamma100_long_manager"} \ No newline at end of file diff --git a/testserrors/managers/rfl_hrp_mad_long_manager_n200_77846e16-359f-4805-8ce8-4fceaa10dc20.json b/testserrors/managers/rfl_hrp_mad_long_manager_n200_77846e16-359f-4805-8ce8-4fceaa10dc20.json new file mode 100644 index 00000000..79acf525 --- /dev/null +++ b/testserrors/managers/rfl_hrp_mad_long_manager_n200_77846e16-359f-4805-8ce8-4fceaa10dc20.json @@ -0,0 +1 @@ +{"traceback": "Traceback (most recent call last):\n File \"/Users/petercotton/github/precise/precise/skaters/managerutil/managertesting.py\", line 47, in manager_test_run\n w, s = mgr(y=y, s=s, e=1, j=j, q=q)\n File \"/Users/petercotton/github/precise/precise/skaters/managers/rflmanagers.py\", line 40, in rfl_hrp_mad_long_manager_n200\n return rfl_hrp_factory(y=y, s=s, k=k, e=e, metric='MAD', n_buffer=200)\n File \"/Users/petercotton/github/precise/precise/skaters/managers/rflmanagerfactory.py\", line 22, in rfl_hrp_factory\n return rpl_manager_factory(s=s, y=y, k=k, e=e, cls_name='HCPortfolio', n_buffer=n_buffer, optim_kwargs=optim_kwargs)\n File \"/Users/petercotton/github/precise/precise/skaters/managers/rflmanagerfactory.py\", line 31, in rpl_manager_factory\n s = _buf(funcs=[_rpl_func], func_names=['weights'], func_kwargs=[fun_kwargs], s=s, x=y,\n File \"/Users/petercotton/github/precise/precise/skaters/covariance/buffactory.py\", line 74, in _buf\n s = _buf_update(funcs=funcs, func_names=func_names, func_kwargs=func_kwargs, s=s, x=x, n_buffer=n_buffer, e=e)\n File \"/Users/petercotton/github/precise/precise/skaters/covariance/buffactory.py\", line 95, in _buf_update\n s[func_name] = func(s['buffer'],**func_kwargs)\n File \"/Users/petercotton/github/precise/precise/skaters/managers/rflmanagerfactory.py\", line 40, in _rpl_func\n import riskfolio as rp\nModuleNotFoundError: No module named 'riskfolio'\n", "exception": "No module named 'riskfolio'", "manager": "rfl_hrp_mad_long_manager_n200"} \ No newline at end of file diff --git a/testserrors/managers/schur_vol_vol_pm_t0_d0_r025_n50_s5_g100_long_manager_0b2b7bbb-5e4a-4848-b164-566329ef171b.json b/testserrors/managers/schur_vol_vol_pm_t0_d0_r025_n50_s5_g100_long_manager_0b2b7bbb-5e4a-4848-b164-566329ef171b.json new file mode 100644 index 00000000..12a5c8f5 --- /dev/null +++ b/testserrors/managers/schur_vol_vol_pm_t0_d0_r025_n50_s5_g100_long_manager_0b2b7bbb-5e4a-4848-b164-566329ef171b.json @@ -0,0 +1 @@ +{"traceback": "Traceback (most recent call last):\n File \"/Users/petercotton/github/precise/precise/skaters/managerutil/managertesting.py\", line 47, in manager_test_run\n w, s = mgr(y=y, s=s, e=1, j=j, q=q)\n File \"/Users/petercotton/github/precise/precise/skaters/managers/schurmanagers.py\", line 197, in schur_vol_vol_pm_t0_d0_r025_n50_s5_g100_long_manager\n return schur_vol_vol_pm_manager_factory(y=y, s=s, n_emp=50, e=e, r=0.025, target=0, n_split=5, gamma=1.0, delta=0,\n File \"/Users/petercotton/github/precise/precise/skaters/managers/schurmanagerfactory.py\", line 212, in schur_vol_vol_pm_manager_factory\n return static_cov_manager_factory_d0(f=f, port=sch_port, y=y, s=s, e=e, zeta=zeta,j=j,q=q,l=l)\n File \"/Users/petercotton/github/precise/precise/skaters/managers/covmanagerfactory.py\", line 159, in static_cov_manager_factory_d0\n w, s_account = _periodic_nudge(port=port, y=y, j=j, s=s_account, cov=x_cov, port_kwargs=port_kwargs,\n File \"/Users/petercotton/github/precise/precise/skaters/managers/covmanagerfactory.py\", line 77, in _periodic_nudge\n w = port(cov=cov, **port_kwargs)\n File \"/Users/petercotton/github/precise/precise/skaters/portfoliostatic/schurportfactory.py\", line 23, in schur_portfolio_factory\n return hierarchical_seriation_portfolio_factory(seriator=seriator, alloc=alloc, port=port, splitter=splitter, cov=cov, pre=pre, n_split=n_split, port_kwargs=port_kwargs)\n File \"/Users/petercotton/github/precise/precise/skaters/portfoliostatic/schurportfactory.py\", line 51, in hierarchical_seriation_portfolio_factory\n File \"/Users/petercotton/github/precise/precise/skaters/portfoliostatic/schurportfactory.py\", line 91, in corr_seriation_portfolio_factory\n # Allocate capital to ordered assets\n File \"/Users/petercotton/github/precise/precise/skaters/portfoliostatic/schurportfactory.py\", line 124, in hierarchical_seriated_portfolio_factory\n # Schur complementary portfolio construction (yours truly)\n File \"/Users/petercotton/github/precise/precise/skaters/portfoliostatic/schurportfactory.py\", line 185, in hierarchical_schur_complementary_portfolio\n wA = hierarchical_seriated_portfolio_factory(alloc=alloc, cov=Ag, port=port, splitter=splitter, gamma=gamma)\n File \"/Users/petercotton/github/precise/precise/skaters/portfoliostatic/schurportfactory.py\", line 146, in hierarchical_schur_complementary_portfolio\n # Augment the cov matrices before passing down\n File \"/Users/petercotton/github/precise/precise/skaters/portfoliostatic/schurportfactory.py\", line 248, in _maximal_gamma\n x1=0.5, xtol=0.05, bracket=(0,0.95), maxiter=5)\n File \"/Users/petercotton/virtual-envs/precise/lib/python3.8/site-packages/scipy/optimize/_root_scalar.py\", line 249, in root_scalar\n r, sol = methodc(f, a, b, args=args, **kwargs)\n File \"/Users/petercotton/virtual-envs/precise/lib/python3.8/site-packages/scipy/optimize/_zeros_py.py\", line 556, in bisect\n r = _zeros._bisect(f, a, b, xtol, rtol, maxiter, args, full_output, disp)\n File \"/Users/petercotton/github/precise/precise/skaters/portfoliostatic/schurportfactory.py\", line 242, in _gamma_objective\n Dg = pseudo_schur_complement(A=D, B=C, C=B, D=A, gamma=gamma)\n File \"/Users/petercotton/github/precise/precise/skaters/portfoliostatic/schurportfactory.py\", line 226, in pseudo_schur_complement\n Mt = np.transpose(M)\n File \"/Users/petercotton/github/precise/precise/skaters/portfoliostatic/schurportutil.py\", line 27, in symmetric_step_up_matrix\n M = M + _Mj(n1 ,n2 ,j ) /n1\n File \"/Users/petercotton/github/precise/precise/skaters/portfoliostatic/schurportutil.py\", line 9, in _Mj\n assert abs(n1 - n2) <= 1\nAssertionError\n", "exception": "", "manager": "schur_vol_vol_pm_t0_d0_r025_n50_s5_g100_long_manager"} \ No newline at end of file diff --git a/testserrors/managers/schur_vol_vol_pm_t0_d0_r025_n50_s5_g100_long_manager_48a00b7d-bf81-4396-86f3-100ddb64ea44.json b/testserrors/managers/schur_vol_vol_pm_t0_d0_r025_n50_s5_g100_long_manager_48a00b7d-bf81-4396-86f3-100ddb64ea44.json new file mode 100644 index 00000000..12a5c8f5 --- /dev/null +++ b/testserrors/managers/schur_vol_vol_pm_t0_d0_r025_n50_s5_g100_long_manager_48a00b7d-bf81-4396-86f3-100ddb64ea44.json @@ -0,0 +1 @@ +{"traceback": "Traceback (most recent call last):\n File \"/Users/petercotton/github/precise/precise/skaters/managerutil/managertesting.py\", line 47, in manager_test_run\n w, s = mgr(y=y, s=s, e=1, j=j, q=q)\n File \"/Users/petercotton/github/precise/precise/skaters/managers/schurmanagers.py\", line 197, in schur_vol_vol_pm_t0_d0_r025_n50_s5_g100_long_manager\n return schur_vol_vol_pm_manager_factory(y=y, s=s, n_emp=50, e=e, r=0.025, target=0, n_split=5, gamma=1.0, delta=0,\n File \"/Users/petercotton/github/precise/precise/skaters/managers/schurmanagerfactory.py\", line 212, in schur_vol_vol_pm_manager_factory\n return static_cov_manager_factory_d0(f=f, port=sch_port, y=y, s=s, e=e, zeta=zeta,j=j,q=q,l=l)\n File \"/Users/petercotton/github/precise/precise/skaters/managers/covmanagerfactory.py\", line 159, in static_cov_manager_factory_d0\n w, s_account = _periodic_nudge(port=port, y=y, j=j, s=s_account, cov=x_cov, port_kwargs=port_kwargs,\n File \"/Users/petercotton/github/precise/precise/skaters/managers/covmanagerfactory.py\", line 77, in _periodic_nudge\n w = port(cov=cov, **port_kwargs)\n File \"/Users/petercotton/github/precise/precise/skaters/portfoliostatic/schurportfactory.py\", line 23, in schur_portfolio_factory\n return hierarchical_seriation_portfolio_factory(seriator=seriator, alloc=alloc, port=port, splitter=splitter, cov=cov, pre=pre, n_split=n_split, port_kwargs=port_kwargs)\n File \"/Users/petercotton/github/precise/precise/skaters/portfoliostatic/schurportfactory.py\", line 51, in hierarchical_seriation_portfolio_factory\n File \"/Users/petercotton/github/precise/precise/skaters/portfoliostatic/schurportfactory.py\", line 91, in corr_seriation_portfolio_factory\n # Allocate capital to ordered assets\n File \"/Users/petercotton/github/precise/precise/skaters/portfoliostatic/schurportfactory.py\", line 124, in hierarchical_seriated_portfolio_factory\n # Schur complementary portfolio construction (yours truly)\n File \"/Users/petercotton/github/precise/precise/skaters/portfoliostatic/schurportfactory.py\", line 185, in hierarchical_schur_complementary_portfolio\n wA = hierarchical_seriated_portfolio_factory(alloc=alloc, cov=Ag, port=port, splitter=splitter, gamma=gamma)\n File \"/Users/petercotton/github/precise/precise/skaters/portfoliostatic/schurportfactory.py\", line 146, in hierarchical_schur_complementary_portfolio\n # Augment the cov matrices before passing down\n File \"/Users/petercotton/github/precise/precise/skaters/portfoliostatic/schurportfactory.py\", line 248, in _maximal_gamma\n x1=0.5, xtol=0.05, bracket=(0,0.95), maxiter=5)\n File \"/Users/petercotton/virtual-envs/precise/lib/python3.8/site-packages/scipy/optimize/_root_scalar.py\", line 249, in root_scalar\n r, sol = methodc(f, a, b, args=args, **kwargs)\n File \"/Users/petercotton/virtual-envs/precise/lib/python3.8/site-packages/scipy/optimize/_zeros_py.py\", line 556, in bisect\n r = _zeros._bisect(f, a, b, xtol, rtol, maxiter, args, full_output, disp)\n File \"/Users/petercotton/github/precise/precise/skaters/portfoliostatic/schurportfactory.py\", line 242, in _gamma_objective\n Dg = pseudo_schur_complement(A=D, B=C, C=B, D=A, gamma=gamma)\n File \"/Users/petercotton/github/precise/precise/skaters/portfoliostatic/schurportfactory.py\", line 226, in pseudo_schur_complement\n Mt = np.transpose(M)\n File \"/Users/petercotton/github/precise/precise/skaters/portfoliostatic/schurportutil.py\", line 27, in symmetric_step_up_matrix\n M = M + _Mj(n1 ,n2 ,j ) /n1\n File \"/Users/petercotton/github/precise/precise/skaters/portfoliostatic/schurportutil.py\", line 9, in _Mj\n assert abs(n1 - n2) <= 1\nAssertionError\n", "exception": "", "manager": "schur_vol_vol_pm_t0_d0_r025_n50_s5_g100_long_manager"} \ No newline at end of file diff --git a/testserrors/managers/schur_vol_vol_pm_t0_d0_r025_n50_s5_g100_long_manager_cea98846-1eee-4276-9b74-d6bc20d0d8bf.json b/testserrors/managers/schur_vol_vol_pm_t0_d0_r025_n50_s5_g100_long_manager_cea98846-1eee-4276-9b74-d6bc20d0d8bf.json new file mode 100644 index 00000000..d700ced0 --- /dev/null +++ b/testserrors/managers/schur_vol_vol_pm_t0_d0_r025_n50_s5_g100_long_manager_cea98846-1eee-4276-9b74-d6bc20d0d8bf.json @@ -0,0 +1 @@ +{"traceback": "Traceback (most recent call last):\n File \"/Users/petercotton/github/precise/precise/skaters/managerutil/managertesting.py\", line 47, in manager_test_run\n w, s = mgr(y=y, s=s, e=1, j=j, q=q)\n File \"/Users/petercotton/github/precise/precise/skaters/managers/schurmanagers.py\", line 197, in schur_vol_vol_pm_t0_d0_r025_n50_s5_g100_long_manager\n return schur_vol_vol_pm_manager_factory(y=y, s=s, n_emp=50, e=e, r=0.025, target=0, n_split=5, gamma=1.0, delta=0,\n File \"/Users/petercotton/github/precise/precise/skaters/managers/schurmanagerfactory.py\", line 212, in schur_vol_vol_pm_manager_factory\n return static_cov_manager_factory_d0(f=f, port=sch_port, y=y, s=s, e=e, zeta=zeta,j=j,q=q,l=l)\n File \"/Users/petercotton/github/precise/precise/skaters/managers/covmanagerfactory.py\", line 159, in static_cov_manager_factory_d0\n w, s_account = _periodic_nudge(port=port, y=y, j=j, s=s_account, cov=x_cov, port_kwargs=port_kwargs,\n File \"/Users/petercotton/github/precise/precise/skaters/managers/covmanagerfactory.py\", line 77, in _periodic_nudge\n w = port(cov=cov, **port_kwargs)\n File \"/Users/petercotton/github/precise/precise/skaters/portfoliostatic/schurportfactory.py\", line 28, in schur_portfolio_factory\n return conjugate_either_schur_hrp_or_port(seriator=seriator, alloc=alloc, port=port, splitter=splitter, cov=cov, pre=pre, n_split=n_split, port_kwargs=port_kwargs)\n File \"/Users/petercotton/github/precise/precise/skaters/portfoliostatic/schurportfactory.py\", line 57, in conjugate_either_schur_hrp_or_port\n return conjugate_with_seriation(seriator=seriator, port=either_schur_hrp_or_port, port_kwargs=port_kwargs, cov=cov, pre=pre)\n File \"/Users/petercotton/github/precise/precise/skaters/portfolioutil/seriation.py\", line 46, in conjugate_with_seriation\n ordered_w = port(cov=ordered_cov, **port_kwargs)\n File \"/Users/petercotton/github/precise/precise/skaters/portfoliostatic/schurportfactory.py\", line 82, in either_schur_hrp_or_port\n w = hierarchical_schur_complementary_portfolio(cov=jiggled_cov, n1=n1, port=port, alloc=alloc, splitter=splitter, gamma=gamma, delta=delta)\n File \"/Users/petercotton/github/precise/precise/skaters/portfoliostatic/schurportfactory.py\", line 144, in hierarchical_schur_complementary_portfolio\n wA = hierarchical_schur_complementary_portfolio(cov=cov, n1=nA1, port=port, alloc=alloc, splitter=splitter, gamma=gamma)\n File \"/Users/petercotton/github/precise/precise/skaters/portfoliostatic/schurportfactory.py\", line 144, in hierarchical_schur_complementary_portfolio\n wA = hierarchical_schur_complementary_portfolio(cov=cov, n1=nA1, port=port, alloc=alloc, splitter=splitter, gamma=gamma)\n File \"/Users/petercotton/github/precise/precise/skaters/portfoliostatic/schurportfactory.py\", line 144, in hierarchical_schur_complementary_portfolio\n wA = hierarchical_schur_complementary_portfolio(cov=cov, n1=nA1, port=port, alloc=alloc, splitter=splitter, gamma=gamma)\n [Previous line repeated 960 more times]\n File \"/Users/petercotton/github/precise/precise/skaters/portfoliostatic/schurportfactory.py\", line 104, in hierarchical_schur_complementary_portfolio\n max_gamma = _maximal_gamma(A=A, B=B, C=C, D=D)\n File \"/Users/petercotton/github/precise/precise/skaters/portfoliostatic/schurportfactory.py\", line 210, in _maximal_gamma\n sol = root_scalar(f=_gamma_objective, args=(A,B,C,D), method='bisect', x0=0.25,\n File \"/Users/petercotton/virtual-envs/precise/lib/python3.8/site-packages/scipy/optimize/_root_scalar.py\", line 249, in root_scalar\n r, sol = methodc(f, a, b, args=args, **kwargs)\n File \"/Users/petercotton/virtual-envs/precise/lib/python3.8/site-packages/scipy/optimize/_zeros_py.py\", line 556, in bisect\n r = _zeros._bisect(f, a, b, xtol, rtol, maxiter, args, full_output, disp)\n File \"/Users/petercotton/github/precise/precise/skaters/portfoliostatic/schurportfactory.py\", line 204, in _gamma_objective\n Ag = pseudo_schur_complement(A=A, B=B, C=C, D=D, gamma=gamma)\n File \"/Users/petercotton/github/precise/precise/skaters/portfoliostatic/schurportfactory.py\", line 190, in pseudo_schur_complement\n BDinv = multiply_by_inverse(B, D, throw=False)\n File \"/Users/petercotton/github/precise/precise/skaters/covarianceutil/covfunctions.py\", line 378, in multiply_by_inverse\n if not np.allclose( np.shape(b)[1], np.shape(b)[0], np.shape(a)[1]):\n File \"<__array_function__ internals>\", line 180, in allclose\n File \"/Users/petercotton/virtual-envs/precise/lib/python3.8/site-packages/numpy/core/numeric.py\", line 2251, in allclose\n res = all(isclose(a, b, rtol=rtol, atol=atol, equal_nan=equal_nan))\n File \"<__array_function__ internals>\", line 180, in isclose\n File \"/Users/petercotton/virtual-envs/precise/lib/python3.8/site-packages/numpy/core/numeric.py\", line 2360, in isclose\n if all(xfin) and all(yfin):\n File \"<__array_function__ internals>\", line 180, in all\n File \"/Users/petercotton/virtual-envs/precise/lib/python3.8/site-packages/numpy/core/fromnumeric.py\", line 2487, in all\n return _wrapreduction(a, np.logical_and, 'all', axis, None, out,\n File \"/Users/petercotton/virtual-envs/precise/lib/python3.8/site-packages/numpy/core/fromnumeric.py\", line 84, in _wrapreduction\n return reduction(axis=axis, out=out, **passkwargs)\n File \"/Users/petercotton/virtual-envs/precise/lib/python3.8/site-packages/numpy/core/_methods.py\", line 63, in _all\n return umr_all(a, axis, dtype, out, keepdims)\nRecursionError: maximum recursion depth exceeded while calling a Python object\n", "exception": "maximum recursion depth exceeded while calling a Python object", "manager": "schur_vol_vol_pm_t0_d0_r025_n50_s5_g100_long_manager"} \ No newline at end of file diff --git a/testserrors/managers/schur_weak_weak_pm_t0_r025_n50_s25_g100_h150_long_manager_9e986562-d81e-462d-9ff5-edc4a5c92107.json b/testserrors/managers/schur_weak_weak_pm_t0_r025_n50_s25_g100_h150_long_manager_9e986562-d81e-462d-9ff5-edc4a5c92107.json new file mode 100644 index 00000000..12ddb9a0 --- /dev/null +++ b/testserrors/managers/schur_weak_weak_pm_t0_r025_n50_s25_g100_h150_long_manager_9e986562-d81e-462d-9ff5-edc4a5c92107.json @@ -0,0 +1 @@ +{"traceback": "Traceback (most recent call last):\n File \"/Users/petercotton/github/precise/precise/skaters/managerutil/managertesting.py\", line 47, in manager_test_run\n w, s = mgr(y=y, s=s, e=1, j=j, q=q)\n File \"/Users/petercotton/github/precise/precise/skaters/managers/schurmanagers.py\", line 100, in schur_weak_weak_pm_t0_r025_n50_s25_g100_h150_long_manager\n return schur_weak_weak_pm_manager_factory(y=y, s=s, target=0, e=e, r=0.025, n_emp=50, h=1.5, gamma=1.0, delta=0.0,\n File \"/Users/petercotton/github/precise/precise/skaters/managers/schurmanagerfactory.py\", line 37, in schur_weak_weak_pm_manager_factory\n return static_cov_manager_factory_d0(f=f, port=sch_port, y=y, s=s, e=e, zeta=zeta, j=j, q=q, l=l)\n File \"/Users/petercotton/github/precise/precise/skaters/managers/covmanagerfactory.py\", line 159, in static_cov_manager_factory_d0\n w, s_account = _periodic_nudge(port=port, y=y, j=j, s=s_account, cov=x_cov, port_kwargs=port_kwargs,\n File \"/Users/petercotton/github/precise/precise/skaters/managers/covmanagerfactory.py\", line 77, in _periodic_nudge\n w = port(cov=cov, **port_kwargs)\n File \"/Users/petercotton/github/precise/precise/skaters/portfoliostatic/schurportfactory.py\", line 23, in schur_portfolio_factory\n return hierarchical_seriation_portfolio_factory(seriator=seriator, alloc=alloc, port=port, splitter=splitter, cov=cov, pre=pre, n_split=n_split, port_kwargs=port_kwargs)\n File \"/Users/petercotton/github/precise/precise/skaters/portfoliostatic/schurportfactory.py\", line 51, in hierarchical_seriation_portfolio_factory\n File \"/Users/petercotton/github/precise/precise/skaters/portfoliostatic/schurportfactory.py\", line 91, in corr_seriation_portfolio_factory\n # Allocate capital to ordered assets\n File \"/Users/petercotton/github/precise/precise/skaters/portfoliostatic/schurportfactory.py\", line 124, in hierarchical_seriated_portfolio_factory\n # Schur complementary portfolio construction (yours truly)\n File \"/Users/petercotton/github/precise/precise/skaters/portfoliostatic/schurportfactory.py\", line 185, in hierarchical_schur_complementary_portfolio\n wA = hierarchical_seriated_portfolio_factory(alloc=alloc, cov=Ag, port=port, splitter=splitter, gamma=gamma)\n File \"/Users/petercotton/github/precise/precise/skaters/portfoliostatic/schurportfactory.py\", line 146, in hierarchical_schur_complementary_portfolio\n # Augment the cov matrices before passing down\n File \"/Users/petercotton/github/precise/precise/skaters/portfoliostatic/schurportfactory.py\", line 248, in _maximal_gamma\n x1=0.5, xtol=0.05, bracket=(0,0.95), maxiter=5)\n File \"/Users/petercotton/virtual-envs/precise/lib/python3.8/site-packages/scipy/optimize/_root_scalar.py\", line 249, in root_scalar\n r, sol = methodc(f, a, b, args=args, **kwargs)\n File \"/Users/petercotton/virtual-envs/precise/lib/python3.8/site-packages/scipy/optimize/_zeros_py.py\", line 556, in bisect\n r = _zeros._bisect(f, a, b, xtol, rtol, maxiter, args, full_output, disp)\n File \"/Users/petercotton/github/precise/precise/skaters/portfoliostatic/schurportfactory.py\", line 242, in _gamma_objective\n Dg = pseudo_schur_complement(A=D, B=C, C=B, D=A, gamma=gamma)\n File \"/Users/petercotton/github/precise/precise/skaters/portfoliostatic/schurportfactory.py\", line 226, in pseudo_schur_complement\n Mt = np.transpose(M)\n File \"/Users/petercotton/github/precise/precise/skaters/portfoliostatic/schurportutil.py\", line 27, in symmetric_step_up_matrix\n M = M + _Mj(n1 ,n2 ,j ) /n1\n File \"/Users/petercotton/github/precise/precise/skaters/portfoliostatic/schurportutil.py\", line 9, in _Mj\n assert abs(n1 - n2) <= 1\nAssertionError\n", "exception": "", "manager": "schur_weak_weak_pm_t0_r025_n50_s25_g100_h150_long_manager"} \ No newline at end of file