diff --git a/README.md b/README.md
index 6c42d17a..f2d48e76 100644
--- a/README.md
+++ b/README.md
@@ -59,7 +59,7 @@ Here are a few self-contained Colab notebooks to help you get started on using P
 Please consider citing our [companion paper](https://arxiv.org/abs/2202.04110) if you use PGMax in your work:
 ```
 @article{zhou2022pgmax,
-  author = {Zhou, Guangyao and Kumar, Nishanth and L{\'a}zaro-Gredilla, Miguel and Kushagra, Shrinu and George, Dileep},
+  author = {Zhou, Guangyao and Kumar, Nishanth and Dedieu, Antoine and L{\'a}zaro-Gredilla, Miguel and Kushagra, Shrinu and George, Dileep},
   title = {{PGMax: Factor Graphs for Discrete Probabilistic Graphical Models and Loopy Belief Propagation in JAX}},
   journal = {arXiv preprint arXiv:2202.04110},
   year={2022}
diff --git a/docs/source/conf.py b/docs/source/conf.py
index 49324c81..a47b8c6c 100644
--- a/docs/source/conf.py
+++ b/docs/source/conf.py
@@ -14,10 +14,10 @@
 
 project = "PGMax"
 copyright = "2021, Vicarious FPC Inc"
-author = "Guangyao Zhou, Nishanth Kumar, Miguel Lazaro-Gredilla, Shrinu Kushagra, Dileep George"
+author = "Guangyao Zhou, Nishanth Kumar, Antoine Dedieu, Miguel Lazaro-Gredilla, Shrinu Kushagra, Dileep George"
 
 # The full version, including alpha/beta/rc tags
-release = "0.3.0"
+release = "0.4.0"
 
 
 # -- General configuration ---------------------------------------------------
diff --git a/pgmax/__init__.py b/pgmax/__init__.py
index 8099146f..8f883666 100644
--- a/pgmax/__init__.py
+++ b/pgmax/__init__.py
@@ -1,3 +1,3 @@
 """A container package for the entire PGMax library."""
 
-__version__ = "0.3.0"
+__version__ = "0.4.0"
diff --git a/poetry.lock b/poetry.lock
index 740420be..fc6286ee 100644
--- a/poetry.lock
+++ b/poetry.lock
@@ -81,11 +81,11 @@ tests_no_zope = ["coverage[toml] (>=5.0.2)", "hypothesis", "pympler", "pytest (>
 
 [[package]]
 name = "babel"
-version = "2.9.1"
+version = "2.10.1"
 description = "Internationalization utilities"
 category = "main"
 optional = false
-python-versions = ">=2.7, !=3.0.*, !=3.1.*, !=3.2.*, !=3.3.*"
+python-versions = ">=3.6"
 
 [package.dependencies]
 pytz = ">=2015.7"
@@ -100,11 +100,11 @@ python-versions = "*"
 
 [[package]]
 name = "beautifulsoup4"
-version = "4.10.0"
+version = "4.11.1"
 description = "Screen-scraping library"
 category = "main"
 optional = false
-python-versions = ">3.0.0"
+python-versions = ">=3.6.0"
 
 [package.dependencies]
 soupsieve = ">1.2"
@@ -115,17 +115,20 @@ lxml = ["lxml"]
 
 [[package]]
 name = "bleach"
-version = "4.1.0"
+version = "5.0.0"
 description = "An easy safelist-based HTML-sanitizing tool."
 category = "main"
 optional = false
-python-versions = ">=3.6"
+python-versions = ">=3.7"
 
 [package.dependencies]
-packaging = "*"
 six = ">=1.9.0"
 webencodings = "*"
 
+[package.extras]
+css = ["tinycss2 (>=1.1.0)"]
+dev = ["pip-tools (==6.5.1)", "pytest (==7.1.1)", "flake8 (==4.0.1)", "tox (==3.24.5)", "sphinx (==4.3.2)", "twine (==4.0.0)", "wheel (==0.37.1)", "hashin (==0.17.0)", "black (==22.3.0)", "mypy (==0.942)"]
+
 [[package]]
 name = "certifi"
 version = "2021.10.8"
@@ -272,19 +275,20 @@ python-versions = "*"
 
 [[package]]
 name = "fonttools"
-version = "4.31.2"
+version = "4.33.3"
 description = "Tools to manipulate font files"
 category = "main"
 optional = false
 python-versions = ">=3.7"
 
 [package.extras]
-all = ["fs (>=2.2.0,<3)", "lxml (>=4.0,<5)", "zopfli (>=0.1.4)", "lz4 (>=1.7.4.2)", "matplotlib", "sympy", "skia-pathops (>=0.5.0)", "brotlicffi (>=0.8.0)", "scipy", "brotli (>=1.0.1)", "munkres", "unicodedata2 (>=14.0.0)", "xattr"]
+all = ["fs (>=2.2.0,<3)", "lxml (>=4.0,<5)", "zopfli (>=0.1.4)", "lz4 (>=1.7.4.2)", "matplotlib", "sympy", "skia-pathops (>=0.5.0)", "uharfbuzz (>=0.23.0)", "brotlicffi (>=0.8.0)", "scipy", "brotli (>=1.0.1)", "munkres", "unicodedata2 (>=14.0.0)", "xattr"]
 graphite = ["lz4 (>=1.7.4.2)"]
 interpolatable = ["scipy", "munkres"]
 lxml = ["lxml (>=4.0,<5)"]
 pathops = ["skia-pathops (>=0.5.0)"]
 plot = ["matplotlib"]
+repacker = ["uharfbuzz (>=0.23.0)"]
 symfont = ["sympy"]
 type1 = ["xattr"]
 ufo = ["fs (>=2.2.0,<3)"]
@@ -293,7 +297,7 @@ woff = ["zopfli (>=0.1.4)", "brotlicffi (>=0.8.0)", "brotli (>=1.0.1)"]
 
 [[package]]
 name = "identify"
-version = "2.4.12"
+version = "2.5.0"
 description = "File identification library for Python"
 category = "dev"
 optional = false
@@ -337,7 +341,7 @@ testing = ["pytest (>=6)", "pytest-checkdocs (>=2.4)", "pytest-flake8", "pytest-
 
 [[package]]
 name = "importlib-resources"
-version = "5.6.0"
+version = "5.7.1"
 description = "Read resources from Python packages"
 category = "main"
 optional = false
@@ -360,7 +364,7 @@ python-versions = "*"
 
 [[package]]
 name = "ipykernel"
-version = "6.12.1"
+version = "6.13.0"
 description = "IPython Kernel for Jupyter"
 category = "main"
 optional = false
@@ -383,7 +387,7 @@ test = ["pytest (>=6.0)", "pytest-cov", "flaky", "ipyparallel", "pre-commit", "p
 
 [[package]]
 name = "ipython"
-version = "7.32.0"
+version = "7.33.0"
 description = "IPython: Productive Interactive Computing"
 category = "main"
 optional = false
@@ -443,7 +447,7 @@ test = ["pytest (>=3.6.0)", "pytest-cov", "mock"]
 
 [[package]]
 name = "jax"
-version = "0.3.4"
+version = "0.3.9"
 description = "Differentiate, compile, and transform Numpy code."
 category = "main"
 optional = false
@@ -457,17 +461,17 @@ scipy = ">=1.2.1"
 typing_extensions = "*"
 
 [package.extras]
-ci = ["jaxlib (==0.3.2)"]
-cpu = ["jaxlib (==0.3.2)"]
-cuda = ["jaxlib (==0.3.2+cuda11.cudnn82)"]
-cuda11_cudnn805 = ["jaxlib (==0.3.2+cuda11.cudnn805)"]
-cuda11_cudnn82 = ["jaxlib (==0.3.2+cuda11.cudnn82)"]
-minimum-jaxlib = ["jaxlib (==0.3.0)"]
-tpu = ["jaxlib (==0.3.2)", "libtpu-nightly (==0.1.dev20220315)", "requests"]
+ci = ["jaxlib (==0.3.7)"]
+cpu = ["jaxlib (==0.3.7)"]
+cuda = ["jaxlib (==0.3.7+cuda11.cudnn82)"]
+cuda11_cudnn805 = ["jaxlib (==0.3.7+cuda11.cudnn805)"]
+cuda11_cudnn82 = ["jaxlib (==0.3.7+cuda11.cudnn82)"]
+minimum-jaxlib = ["jaxlib (==0.3.7)"]
+tpu = ["jaxlib (==0.3.7)", "libtpu-nightly (==0.1.dev20220415)", "requests"]
 
 [[package]]
 name = "jaxlib"
-version = "0.3.2"
+version = "0.3.7"
 description = "XLA library for JAX"
 category = "main"
 optional = false
@@ -496,7 +500,7 @@ testing = ["Django (<3.1)", "colorama", "docopt", "pytest (<7.0.0)"]
 
 [[package]]
 name = "jinja2"
-version = "3.1.1"
+version = "3.1.2"
 description = "A very fast and expressive template engine."
 category = "main"
 optional = false
@@ -553,7 +557,7 @@ qtconsole = "*"
 
 [[package]]
 name = "jupyter-client"
-version = "7.2.1"
+version = "7.3.0"
 description = "Jupyter protocol implementation and client libraries"
 category = "main"
 optional = false
@@ -592,26 +596,26 @@ test = ["pexpect"]
 
 [[package]]
 name = "jupyter-core"
-version = "4.9.2"
+version = "4.10.0"
 description = "Jupyter core package. A base package on which Jupyter projects rely."
 category = "main"
 optional = false
-python-versions = ">=3.6"
+python-versions = ">=3.7"
 
 [package.dependencies]
 pywin32 = {version = ">=1.0", markers = "sys_platform == \"win32\" and platform_python_implementation != \"PyPy\""}
 traitlets = "*"
 
+[package.extras]
+test = ["ipykernel", "pre-commit", "pytest", "pytest-cov", "pytest-timeout"]
+
 [[package]]
 name = "jupyterlab-pygments"
-version = "0.1.2"
+version = "0.2.2"
 description = "Pygments theme using JupyterLab CSS variables"
 category = "main"
 optional = false
-python-versions = "*"
-
-[package.dependencies]
-pygments = ">=2.4.1,<3"
+python-versions = ">=3.7"
 
 [[package]]
 name = "jupyterlab-widgets"
@@ -661,24 +665,24 @@ python-versions = ">=3.7,<3.11"
 
 [[package]]
 name = "markdown-it-py"
-version = "2.0.1"
+version = "2.1.0"
 description = "Python port of markdown-it. Markdown parsing, done right!"
 category = "main"
 optional = false
-python-versions = "~=3.6"
+python-versions = ">=3.7"
 
 [package.dependencies]
-attrs = ">=19,<22"
 mdurl = ">=0.1,<1.0"
-typing-extensions = {version = ">=3.7.4", markers = "python_version < \"3.8\""}
+typing_extensions = {version = ">=3.7.4", markers = "python_version < \"3.8\""}
 
 [package.extras]
 benchmarking = ["psutil", "pytest", "pytest-benchmark (>=3.2,<4.0)"]
 code_style = ["pre-commit (==2.6)"]
-compare = ["commonmark (>=0.9.1,<0.10.0)", "markdown (>=3.2.2,<3.3.0)", "mistletoe-ebp (>=0.10.0,<0.11.0)", "mistune (>=0.8.4,<0.9.0)", "panflute (>=1.12,<2.0)"]
+compare = ["commonmark (>=0.9.1,<0.10.0)", "markdown (>=3.3.6,<3.4.0)", "mistletoe (>=0.8.1,<0.9.0)", "mistune (>=2.0.2,<2.1.0)", "panflute (>=2.1.3,<2.2.0)"]
 linkify = ["linkify-it-py (>=1.0,<2.0)"]
 plugins = ["mdit-py-plugins"]
-rtd = ["myst-nb (==0.13.0a1)", "pyyaml", "sphinx (>=2,<4)", "sphinx-copybutton", "sphinx-panels (>=0.4.0,<0.5.0)", "sphinx-book-theme"]
+profiling = ["gprof2dot"]
+rtd = ["attrs", "myst-parser", "pyyaml", "sphinx", "sphinx-copybutton", "sphinx-design", "sphinx-book-theme"]
 testing = ["coverage", "pytest", "pytest-cov", "pytest-regressions"]
 
 [[package]]
@@ -691,7 +695,7 @@ python-versions = ">=3.7"
 
 [[package]]
 name = "matplotlib"
-version = "3.5.1"
+version = "3.5.2"
 description = "Python plotting package"
 category = "main"
 optional = false
@@ -737,11 +741,11 @@ testing = ["coverage", "pytest (>=3.6,<4)", "pytest-cov", "pytest-regressions"]
 
 [[package]]
 name = "mdurl"
-version = "0.1.0"
+version = "0.1.1"
 description = "Markdown URL utilities"
 category = "main"
 optional = false
-python-versions = ">=3.6"
+python-versions = ">=3.7"
 
 [[package]]
 name = "mistune"
@@ -753,7 +757,7 @@ python-versions = "*"
 
 [[package]]
 name = "nbclient"
-version = "0.5.13"
+version = "0.6.2"
 description = "A client library for executing notebooks. Formerly nbconvert's ExecutePreprocessor."
 category = "main"
 optional = false
@@ -766,12 +770,12 @@ nest-asyncio = "*"
 traitlets = ">=5.0.0"
 
 [package.extras]
-sphinx = ["Sphinx (>=1.7)", "sphinx-book-theme", "mock", "moto", "myst-parser"]
-test = ["ipython (<8.0.0)", "ipykernel", "ipywidgets (<8.0.0)", "pytest (>=4.1)", "pytest-asyncio", "pytest-cov (>=2.6.1)", "check-manifest", "flake8", "mypy", "xmltodict", "black", "pip (>=18.1)", "wheel (>=0.31.0)", "setuptools (>=38.6.0)", "twine (>=1.11.0)"]
+sphinx = ["mock", "moto", "myst-parser", "Sphinx (>=1.7)", "sphinx-book-theme"]
+test = ["black", "check-manifest", "flake8", "ipykernel", "ipython (<8.0.0)", "ipywidgets (<8.0.0)", "mypy", "pip (>=18.1)", "pre-commit", "pytest (>=4.1)", "pytest-asyncio", "pytest-cov (>=2.6.1)", "setuptools (>=60.0)", "testpath", "twine (>=1.11.0)", "xmltodict"]
 
 [[package]]
 name = "nbconvert"
-version = "6.4.5"
+version = "6.5.0"
 description = "Converting Jupyter Notebooks"
 category = "main"
 optional = false
@@ -782,28 +786,29 @@ beautifulsoup4 = "*"
 bleach = "*"
 defusedxml = "*"
 entrypoints = ">=0.2.2"
-jinja2 = ">=2.4"
-jupyter-core = "*"
+jinja2 = ">=3.0"
+jupyter-core = ">=4.7"
 jupyterlab-pygments = "*"
 MarkupSafe = ">=2.0"
 mistune = ">=0.8.1,<2"
-nbclient = ">=0.5.0,<0.6.0"
-nbformat = ">=4.4"
+nbclient = ">=0.5.0"
+nbformat = ">=5.1"
+packaging = "*"
 pandocfilters = ">=1.4.1"
 pygments = ">=2.4.1"
-testpath = "*"
+tinycss2 = "*"
 traitlets = ">=5.0"
 
 [package.extras]
-all = ["pytest", "pytest-cov", "pytest-dependency", "ipykernel", "ipywidgets (>=7)", "pyppeteer (>=1,<1.1)", "tornado (>=4.0)", "sphinx (>=1.5.1)", "sphinx-rtd-theme", "nbsphinx (>=0.2.12)", "ipython"]
+all = ["pytest", "pytest-cov", "pytest-dependency", "ipykernel", "ipywidgets (>=7)", "pre-commit", "pyppeteer (>=1,<1.1)", "tornado (>=6.1)", "sphinx (>=1.5.1)", "sphinx-rtd-theme", "nbsphinx (>=0.2.12)", "ipython"]
 docs = ["sphinx (>=1.5.1)", "sphinx-rtd-theme", "nbsphinx (>=0.2.12)", "ipython"]
-serve = ["tornado (>=4.0)"]
-test = ["pytest", "pytest-cov", "pytest-dependency", "ipykernel", "ipywidgets (>=7)", "pyppeteer (>=1,<1.1)"]
+serve = ["tornado (>=6.1)"]
+test = ["pytest", "pytest-cov", "pytest-dependency", "ipykernel", "ipywidgets (>=7)", "pre-commit", "pyppeteer (>=1,<1.1)"]
 webpdf = ["pyppeteer (>=1,<1.1)"]
 
 [[package]]
 name = "nbformat"
-version = "5.3.0"
+version = "5.4.0"
 description = "The Jupyter Notebook format"
 category = "main"
 optional = false
@@ -813,7 +818,7 @@ python-versions = ">=3.7"
 fastjsonschema = "*"
 jsonschema = ">=2.6"
 jupyter-core = "*"
-traitlets = ">=4.1"
+traitlets = ">=5.1"
 
 [package.extras]
 test = ["check-manifest", "testpath", "pytest", "pre-commit"]
@@ -836,11 +841,11 @@ python-versions = "*"
 
 [[package]]
 name = "notebook"
-version = "6.4.10"
+version = "6.4.11"
 description = "A web-based notebook environment for interactive computing"
 category = "main"
 optional = false
-python-versions = ">=3.6"
+python-versions = ">=3.7"
 
 [package.dependencies]
 argon2-cffi = "*"
@@ -862,7 +867,7 @@ traitlets = ">=4.2.1"
 [package.extras]
 docs = ["sphinx", "nbsphinx", "sphinxcontrib-github-alt", "sphinx-rtd-theme", "myst-parser"]
 json-logging = ["json-logging"]
-test = ["pytest", "coverage", "requests", "nbval", "selenium", "pytest-cov", "requests-unixsocket"]
+test = ["pytest", "coverage", "requests", "testpath", "nbval", "selenium", "pytest-cov", "requests-unixsocket"]
 
 [[package]]
 name = "numba"
@@ -878,7 +883,7 @@ numpy = ">=1.18,<1.22"
 
 [[package]]
 name = "numpy"
-version = "1.21.5"
+version = "1.21.6"
 description = "NumPy is the fundamental package for array computing with Python."
 category = "main"
 optional = false
@@ -963,15 +968,15 @@ tests = ["check-manifest", "coverage", "defusedxml", "markdown2", "olefile", "pa
 
 [[package]]
 name = "platformdirs"
-version = "2.5.1"
+version = "2.5.2"
 description = "A small Python module for determining appropriate platform-specific dirs, e.g. a \"user data dir\"."
 category = "dev"
 optional = false
 python-versions = ">=3.7"
 
 [package.extras]
-docs = ["Sphinx (>=4)", "furo (>=2021.7.5b38)", "proselint (>=0.10.2)", "sphinx-autodoc-typehints (>=1.12)"]
-test = ["appdirs (==1.4.4)", "pytest (>=6)", "pytest-cov (>=2.7)", "pytest-mock (>=3.6)"]
+docs = ["furo (>=2021.7.5b38)", "proselint (>=0.10.2)", "sphinx-autodoc-typehints (>=1.12)", "sphinx (>=4)"]
+test = ["appdirs (==1.4.4)", "pytest-cov (>=2.7)", "pytest-mock (>=3.6)", "pytest (>=6)"]
 
 [[package]]
 name = "pluggy"
@@ -1007,7 +1012,7 @@ virtualenv = ">=20.0.8"
 
 [[package]]
 name = "prometheus-client"
-version = "0.14.0"
+version = "0.14.1"
 description = "Python client for the Prometheus monitoring system."
 category = "main"
 optional = false
@@ -1064,22 +1069,22 @@ python-versions = ">=2.7, !=3.0.*, !=3.1.*, !=3.2.*, !=3.3.*"
 
 [[package]]
 name = "pygments"
-version = "2.11.2"
+version = "2.12.0"
 description = "Pygments is a syntax highlighting package written in Python."
 category = "main"
 optional = false
-python-versions = ">=3.5"
+python-versions = ">=3.6"
 
 [[package]]
 name = "pyparsing"
-version = "3.0.7"
-description = "Python parsing module"
+version = "3.0.8"
+description = "pyparsing module - Classes and methods to define and execute parsing grammars"
 category = "main"
 optional = false
-python-versions = ">=3.6"
+python-versions = ">=3.6.8"
 
 [package.extras]
-diagrams = ["jinja2", "railroad-diagrams"]
+diagrams = ["railroad-diagrams", "jinja2"]
 
 [[package]]
 name = "pyrsistent"
@@ -1091,7 +1096,7 @@ python-versions = ">=3.7"
 
 [[package]]
 name = "pytest"
-version = "7.1.1"
+version = "7.1.2"
 description = "pytest: simple powerful testing with Python"
 category = "dev"
 optional = false
@@ -1159,7 +1164,7 @@ python-versions = "*"
 
 [[package]]
 name = "pywin32"
-version = "303"
+version = "304"
 description = "Python for Window Extensions"
 category = "main"
 optional = false
@@ -1217,17 +1222,17 @@ test = ["flaky", "pytest", "pytest-qt"]
 
 [[package]]
 name = "qtpy"
-version = "2.0.1"
+version = "2.1.0"
 description = "Provides an abstraction layer on top of the various Qt bindings (PyQt5/6 and PySide2/6)."
 category = "main"
 optional = false
-python-versions = ">=3.6"
+python-versions = ">=3.7"
 
 [package.dependencies]
 packaging = "*"
 
 [package.extras]
-test = ["pytest (>=6.0.0)", "pytest-cov (>=3.0.0)", "pytest-qt"]
+test = ["pytest (>=6,!=7.0.0,!=7.0.1)", "pytest-cov (>=3.0.0)", "pytest-qt"]
 
 [[package]]
 name = "requests"
@@ -1325,7 +1330,7 @@ python-versions = "*"
 
 [[package]]
 name = "soupsieve"
-version = "2.3.2"
+version = "2.3.2.post1"
 description = "A modern CSS selector implementation for Beautiful Soup."
 category = "main"
 optional = false
@@ -1466,24 +1471,28 @@ tornado = ">=4"
 test = ["pytest"]
 
 [[package]]
-name = "testpath"
-version = "0.6.0"
-description = "Test utilities for code working with files and commands"
+name = "threadpoolctl"
+version = "3.1.0"
+description = "threadpoolctl"
 category = "main"
 optional = false
-python-versions = ">= 3.5"
-
-[package.extras]
-test = ["pytest"]
+python-versions = ">=3.6"
 
 [[package]]
-name = "threadpoolctl"
-version = "3.1.0"
-description = "threadpoolctl"
+name = "tinycss2"
+version = "1.1.1"
+description = "A tiny CSS parser"
 category = "main"
 optional = false
 python-versions = ">=3.6"
 
+[package.dependencies]
+webencodings = ">=0.4"
+
+[package.extras]
+doc = ["sphinx", "sphinx-rtd-theme"]
+test = ["pytest", "pytest-cov", "pytest-flake8", "pytest-isort", "coverage"]
+
 [[package]]
 name = "toml"
 version = "0.10.2"
@@ -1538,11 +1547,11 @@ test = ["pytest"]
 
 [[package]]
 name = "typing-extensions"
-version = "4.1.1"
-description = "Backported and Experimental Type Hints for Python 3.6+"
+version = "4.2.0"
+description = "Backported and Experimental Type Hints for Python 3.7+"
 category = "main"
 optional = false
-python-versions = ">=3.6"
+python-versions = ">=3.7"
 
 [[package]]
 name = "urllib3"
@@ -1559,7 +1568,7 @@ socks = ["PySocks (>=1.5.6,!=1.5.7,<2.0)"]
 
 [[package]]
 name = "virtualenv"
-version = "20.14.0"
+version = "20.14.1"
 description = "Virtual Python Environment builder"
 category = "dev"
 optional = false
@@ -1672,20 +1681,20 @@ attrs = [
     {file = "attrs-21.4.0.tar.gz", hash = "sha256:626ba8234211db98e869df76230a137c4c40a12d72445c45d5f5b716f076e2fd"},
 ]
 babel = [
-    {file = "Babel-2.9.1-py2.py3-none-any.whl", hash = "sha256:ab49e12b91d937cd11f0b67cb259a57ab4ad2b59ac7a3b41d6c06c0ac5b0def9"},
-    {file = "Babel-2.9.1.tar.gz", hash = "sha256:bc0c176f9f6a994582230df350aa6e05ba2ebe4b3ac317eab29d9be5d2768da0"},
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+    {file = "pywin32-304-cp311-cp311-win_amd64.whl", hash = "sha256:7ffa0c0fa4ae4077e8b8aa73800540ef8c24530057768c3ac57c609f99a14fd4"},
+    {file = "pywin32-304-cp311-cp311-win_arm64.whl", hash = "sha256:cbbe34dad39bdbaa2889a424d28752f1b4971939b14b1bb48cbf0182a3bcfc43"},
+    {file = "pywin32-304-cp36-cp36m-win32.whl", hash = "sha256:be253e7b14bc601718f014d2832e4c18a5b023cbe72db826da63df76b77507a1"},
+    {file = "pywin32-304-cp36-cp36m-win_amd64.whl", hash = "sha256:de9827c23321dcf43d2f288f09f3b6d772fee11e809015bdae9e69fe13213988"},
+    {file = "pywin32-304-cp37-cp37m-win32.whl", hash = "sha256:f64c0377cf01b61bd5e76c25e1480ca8ab3b73f0c4add50538d332afdf8f69c5"},
+    {file = "pywin32-304-cp37-cp37m-win_amd64.whl", hash = "sha256:bb2ea2aa81e96eee6a6b79d87e1d1648d3f8b87f9a64499e0b92b30d141e76df"},
+    {file = "pywin32-304-cp38-cp38-win32.whl", hash = "sha256:94037b5259701988954931333aafd39cf897e990852115656b014ce72e052e96"},
+    {file = "pywin32-304-cp38-cp38-win_amd64.whl", hash = "sha256:ead865a2e179b30fb717831f73cf4373401fc62fbc3455a0889a7ddac848f83e"},
+    {file = "pywin32-304-cp39-cp39-win32.whl", hash = "sha256:25746d841201fd9f96b648a248f731c1dec851c9a08b8e33da8b56148e4c65cc"},
+    {file = "pywin32-304-cp39-cp39-win_amd64.whl", hash = "sha256:d24a3382f013b21aa24a5cfbfad5a2cd9926610c0affde3e8ab5b3d7dbcf4ac9"},
 ]
 pywinpty = [
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@@ -2503,8 +2515,8 @@ qtconsole = [
     {file = "qtconsole-5.3.0.tar.gz", hash = "sha256:8e3520fdc75e46abc4cc6cffeca16fa2652754109b8ae839fa28e27d1eba5625"},
 ]
 qtpy = [
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-    {file = "QtPy-2.0.1.tar.gz", hash = "sha256:adfd073ffbd2de81dc7aaa0b983499ef5c59c96adcfdcc9dea60d42ca885eb8f"},
+    {file = "QtPy-2.1.0-py3-none-any.whl", hash = "sha256:aee0586081f943029312becece9f63977b0a9e3788f77a6ac8cc74802bb173d6"},
+    {file = "QtPy-2.1.0.tar.gz", hash = "sha256:ca8cd4217175186344299ee4c0f7e7adcf362c70852ba35b255a534077025c06"},
 ]
 requests = [
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@@ -2592,8 +2604,8 @@ snowballstemmer = [
     {file = "snowballstemmer-2.2.0.tar.gz", hash = "sha256:09b16deb8547d3412ad7b590689584cd0fe25ec8db3be37788be3810cbf19cb1"},
 ]
 soupsieve = [
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-    {file = "soupsieve-2.3.2.tar.gz", hash = "sha256:0bcc6d7432153063e3df09c3ac9442af3eba488715bfcad6a4c38ccb2a523124"},
+    {file = "soupsieve-2.3.2.post1-py3-none-any.whl", hash = "sha256:3b2503d3c7084a42b1ebd08116e5f81aadfaea95863628c80a3b774a11b7c759"},
+    {file = "soupsieve-2.3.2.post1.tar.gz", hash = "sha256:fc53893b3da2c33de295667a0e19f078c14bf86544af307354de5fcf12a3f30d"},
 ]
 sphinx = [
     {file = "Sphinx-4.5.0-py3-none-any.whl", hash = "sha256:ebf612653238bcc8f4359627a9b7ce44ede6fdd75d9d30f68255c7383d3a6226"},
@@ -2631,14 +2643,14 @@ terminado = [
     {file = "terminado-0.13.3-py3-none-any.whl", hash = "sha256:874d4ea3183536c1782d13c7c91342ef0cf4e5ee1d53633029cbc972c8760bd8"},
     {file = "terminado-0.13.3.tar.gz", hash = "sha256:94d1cfab63525993f7d5c9b469a50a18d0cdf39435b59785715539dd41e36c0d"},
 ]
-testpath = [
-    {file = "testpath-0.6.0-py3-none-any.whl", hash = "sha256:8ada9f80a2ac6fb0391aa7cdb1a7d11cfa8429f693eda83f74dde570fe6fa639"},
-    {file = "testpath-0.6.0.tar.gz", hash = "sha256:2f1b97e6442c02681ebe01bd84f531028a7caea1af3825000f52345c30285e0f"},
-]
 threadpoolctl = [
     {file = "threadpoolctl-3.1.0-py3-none-any.whl", hash = "sha256:8b99adda265feb6773280df41eece7b2e6561b772d21ffd52e372f999024907b"},
     {file = "threadpoolctl-3.1.0.tar.gz", hash = "sha256:a335baacfaa4400ae1f0d8e3a58d6674d2f8828e3716bb2802c44955ad391380"},
 ]
+tinycss2 = [
+    {file = "tinycss2-1.1.1-py3-none-any.whl", hash = "sha256:fe794ceaadfe3cf3e686b22155d0da5780dd0e273471a51846d0a02bc204fec8"},
+    {file = "tinycss2-1.1.1.tar.gz", hash = "sha256:b2e44dd8883c360c35dd0d1b5aad0b610e5156c2cb3b33434634e539ead9d8bf"},
+]
 toml = [
     {file = "toml-0.10.2-py2.py3-none-any.whl", hash = "sha256:806143ae5bfb6a3c6e736a764057db0e6a0e05e338b5630894a5f779cabb4f9b"},
     {file = "toml-0.10.2.tar.gz", hash = "sha256:b3bda1d108d5dd99f4a20d24d9c348e91c4db7ab1b749200bded2f839ccbe68f"},
@@ -2699,16 +2711,16 @@ traitlets = [
     {file = "traitlets-5.1.1.tar.gz", hash = "sha256:059f456c5a7c1c82b98c2e8c799f39c9b8128f6d0d46941ee118daace9eb70c7"},
 ]
 typing-extensions = [
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-    {file = "typing_extensions-4.1.1.tar.gz", hash = "sha256:1a9462dcc3347a79b1f1c0271fbe79e844580bb598bafa1ed208b94da3cdcd42"},
+    {file = "typing_extensions-4.2.0-py3-none-any.whl", hash = "sha256:6657594ee297170d19f67d55c05852a874e7eb634f4f753dbd667855e07c1708"},
+    {file = "typing_extensions-4.2.0.tar.gz", hash = "sha256:f1c24655a0da0d1b67f07e17a5e6b2a105894e6824b92096378bb3668ef02376"},
 ]
 urllib3 = [
     {file = "urllib3-1.26.9-py2.py3-none-any.whl", hash = "sha256:44ece4d53fb1706f667c9bd1c648f5469a2ec925fcf3a776667042d645472c14"},
     {file = "urllib3-1.26.9.tar.gz", hash = "sha256:aabaf16477806a5e1dd19aa41f8c2b7950dd3c746362d7e3223dbe6de6ac448e"},
 ]
 virtualenv = [
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-    {file = "virtualenv-20.14.0.tar.gz", hash = "sha256:8e5b402037287126e81ccde9432b95a8be5b19d36584f64957060a3488c11ca8"},
+    {file = "virtualenv-20.14.1-py2.py3-none-any.whl", hash = "sha256:e617f16e25b42eb4f6e74096b9c9e37713cf10bf30168fb4a739f3fa8f898a3a"},
+    {file = "virtualenv-20.14.1.tar.gz", hash = "sha256:ef589a79795589aada0c1c5b319486797c03b67ac3984c48c669c0e4f50df3a5"},
 ]
 wcwidth = [
     {file = "wcwidth-0.2.5-py2.py3-none-any.whl", hash = "sha256:beb4802a9cebb9144e99086eff703a642a13d6a0052920003a230f3294bbe784"},
diff --git a/pyproject.toml b/pyproject.toml
index da663322..8fd89041 100644
--- a/pyproject.toml
+++ b/pyproject.toml
@@ -1,9 +1,9 @@
 [tool.poetry]
 name = "pgmax"
-version = "0.3.0"
+version = "0.4.0"
 description = "Loopy belief propagation for factor graphs on discrete variables, in JAX!"
-authors = ["Stannis Zhou <stannis@vicarious.com>", "Nishanth Kumar <njk@csail.mit.edu>", "Miguel Lazaro-Gredilla <miguel@vicarious.com>", "Dileep George <dileep@vicarious.com>"]
-maintainers = ["Stannis Zhou <stannis@vicarious.com>", "Nishanth Kumar <njk@csail.mit.edu>"]
+authors = ["Stannis Zhou <stannis@vicarious.com>", "Nishanth Kumar <njk@csail.mit.edu>", "Antoine Dedieu <antoine@vicarious.com>", "Miguel Lazaro-Gredilla <miguel@vicarious.com>", "Dileep George <dileep@vicarious.com>"]
+maintainers = ["Stannis Zhou <stannis@vicarious.com>", "Nishanth Kumar <njk@csail.mit.edu>", "Antoine Dedieu <antoine@vicarious.com>"]
 # Additional info
 license = "MIT"
 readme = "README.md"