diff --git a/docs/notebooks/hmm/custom_hmm.ipynb b/docs/notebooks/hmm/custom_hmm.ipynb index 49dbed72..89e22223 100644 --- a/docs/notebooks/hmm/custom_hmm.ipynb +++ b/docs/notebooks/hmm/custom_hmm.ipynb @@ -46,13 +46,15 @@ }, { "cell_type": "code", - "execution_count": 1, "metadata": { "tags": [ "hide-cell" - ] + ], + "ExecuteTime": { + "end_time": "2025-04-19T20:49:30.191549Z", + "start_time": "2025-04-19T20:49:28.541996Z" + } }, - "outputs": [], "source": [ "%%capture\n", "try:\n", @@ -61,17 +63,21 @@ " print('installing dynamax')\n", " %pip install -q dynamax[notebooks]\n", " import dynamax" - ] + ], + "outputs": [], + "execution_count": 1 }, { "cell_type": "code", - "execution_count": 2, "metadata": { "nbpresent": { "id": "346a61a3-9216-480d-b5b8-39a78782a8c3" + }, + "ExecuteTime": { + "end_time": "2025-04-19T20:49:41.027518Z", + "start_time": "2025-04-19T20:49:39.492603Z" } }, - "outputs": [], "source": [ "import jax.numpy as jnp\n", "import jax.random as jr\n", @@ -90,7 +96,18 @@ "from dynamax.hidden_markov_model.models.transitions import StandardHMMTransitions, ParamsStandardHMMTransitions\n", "from dynamax.types import IntScalar, Scalar\n", "from dynamax.utils.plotting import gradient_cmap" - ] + ], + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "C:\\Users\\danie\\dynamax\\dynamax\\hidden_markov_model\\models\\multinomial_hmm.py:27: SyntaxWarning: invalid escape sequence '\\g'\n", + " \"\"\"Multinomial emissions for an HMM.\n" + ] + } + ], + "execution_count": 2 }, { "cell_type": "markdown", @@ -101,9 +118,12 @@ }, { "cell_type": "code", - "execution_count": 3, - "metadata": {}, - "outputs": [], + "metadata": { + "ExecuteTime": { + "end_time": "2025-04-19T20:49:43.651327Z", + "start_time": "2025-04-19T20:49:43.537164Z" + } + }, "source": [ "sns.set_style(\"white\")\n", "\n", @@ -120,7 +140,9 @@ "\n", "colors = sns.xkcd_palette(color_names)\n", "cmap = gradient_cmap(colors)" - ] + ], + "outputs": [], + "execution_count": 3 }, { "cell_type": "markdown", @@ -140,13 +162,16 @@ }, { "cell_type": "code", - "execution_count": 4, - "metadata": {}, - "outputs": [], + "metadata": { + "ExecuteTime": { + "end_time": "2025-04-19T20:49:45.583872Z", + "start_time": "2025-04-19T20:49:45.560579Z" + } + }, "source": [ "class ParamsPoissonGLMHMMEmissions(NamedTuple):\n", " \"\"\"Parameters for the Poisson GLM emissions in an HMM.\"\"\"\n", - " weights: Union[Float[Array, \"state_dim emission_dim input_dim\"], ParameterProperties]\n", + " weights: Union[Float[Array, \"num_states emission_dim input_dim\"], ParameterProperties]\n", "\n", "\n", "class PoissonGLMHMMEmissions(HMMEmissions):\n", @@ -186,7 +211,7 @@ " def initialize(self,\n", " key: Array = jr.PRNGKey(0),\n", " method: str = \"prior\",\n", - " emission_weights: Optional[Float[Array, \"num_states input_dim\"]] = None,\n", + " emission_weights: Optional[Float[Array, \"num_states emission_dim input_dim\"]] = None,\n", " ) -> Tuple[ParamsPoissonGLMHMMEmissions, ParamsPoissonGLMHMMEmissions]:\n", " \"\"\"Initialize the model parameters and their corresponding properties.\n", "\n", @@ -233,7 +258,9 @@ " \"\"\"\n", " activations = params.weights[state] @ inputs\n", " return tfd.Independent(tfd.Poisson(rate=activations), 1)\n" - ] + ], + "outputs": [], + "execution_count": 4 }, { "cell_type": "markdown", @@ -248,9 +275,12 @@ }, { "cell_type": "code", - "execution_count": 5, - "metadata": {}, - "outputs": [], + "metadata": { + "ExecuteTime": { + "end_time": "2025-04-19T20:49:47.559689Z", + "start_time": "2025-04-19T20:49:47.535710Z" + } + }, "source": [ "class ParamsPoissonGLMHMM(NamedTuple):\n", " \"\"\"Parameters for a Poisson GLM HMM.\"\"\"\n", @@ -310,7 +340,9 @@ " params[\"emissions\"], props[\"emissions\"] = self.emission_component.initialize(\n", " key3, method=method, emission_weights=emission_weights)\n", " return ParamsPoissonGLMHMM(**params), ParamsPoissonGLMHMM(**props)\n" - ] + ], + "outputs": [], + "execution_count": 5 }, { "cell_type": "markdown", @@ -328,9 +360,12 @@ }, { "cell_type": "code", - "execution_count": 6, - "metadata": {}, - "outputs": [], + "metadata": { + "ExecuteTime": { + "end_time": "2025-04-19T20:49:57.752076Z", + "start_time": "2025-04-19T20:49:49.585934Z" + } + }, "source": [ "# Make a Poisson GLM-HMM\n", "init_key, sample_key = jr.split(jr.PRNGKey(0))\n", @@ -357,24 +392,18 @@ "# Sample states and emissions from the model\n", "true_states, emissions = true_model.sample(\n", " true_params, sample_key, num_timesteps, inputs=inputs)" - ] + ], + "outputs": [], + "execution_count": 6 }, { "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" + "metadata": { + "ExecuteTime": { + "end_time": "2025-04-19T20:49:58.354119Z", + "start_time": "2025-04-19T20:49:57.767253Z" } - ], + }, "source": [ "slc = slice(0, 1000)\n", "fig, axs = plt.subplots(2, 1, sharex=True)\n", @@ -384,7 +413,20 @@ "axs[1].set_ylabel(\"emission dim\")\n", "axs[1].set_xlabel(\"time\")\n", "plt.tight_layout()" - ] + ], + "outputs": [ + { + "data": { + "text/plain": [ + "
" + ], + "image/png": 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" + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "execution_count": 7 }, { "cell_type": "markdown", @@ -401,11 +443,30 @@ }, { "cell_type": "code", - "execution_count": 17, - "metadata": {}, + "metadata": { + "ExecuteTime": { + "end_time": "2025-04-19T20:50:05.762021Z", + "start_time": "2025-04-19T20:49:59.510378Z" + } + }, + "source": [ + "# Now fit an HMM to the emissions\n", + "init_key = jr.PRNGKey(12345)\n", + "test_num_states = num_states\n", + "\n", + "# Initialize with new random seed\n", + "model = PoissonGLMHMM(num_states=test_num_states, emission_dim=emission_dim, input_dim=input_dim)\n", + "params, props = model.initialize(key=init_key)\n", + "\n", + "# Fit with EM\n", + "fitted_params, lps = model.fit_em(params=params, props=props, emissions=emissions, inputs=inputs)" + ], "outputs": [ { "data": { + "text/plain": [ + "" + ], "text/html": [ "\n", "\n" - ], - "text/plain": [ - "" ] }, "metadata": {}, @@ -433,34 +491,23 @@ }, { "data": { + "text/plain": [ + "" + ], "text/html": [ "\n", "
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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" + "metadata": { + "ExecuteTime": { + "end_time": "2025-04-19T20:50:06.832411Z", + "start_time": "2025-04-19T20:50:05.806642Z" } - ], + }, "source": [ "scale = emission_dim * num_timesteps\n", "true_lp = model.marginal_log_prob(true_params, emissions, inputs=inputs)\n", @@ -494,7 +533,20 @@ "plt.ylabel(\"Log Probability\")\n", "plt.legend(loc=\"lower right\")\n", "plt.show()" - ] + ], + "outputs": [ + { + "data": { + "text/plain": [ + "
" + ], + "image/png": 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" + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "execution_count": 9 }, { "cell_type": "markdown", @@ -507,30 +559,12 @@ }, { "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "" - ] - }, - "execution_count": 31, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": 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", 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" - ] - }, - "metadata": {}, - "output_type": "display_data" + "metadata": { + "ExecuteTime": { + "end_time": "2025-04-19T20:50:09.185934Z", + "start_time": "2025-04-19T20:50:08.441393Z" } - ], + }, "source": [ "lim = max(true_params.emissions.weights.max(), \n", " fitted_params.emissions.weights.max())\n", @@ -552,7 +586,30 @@ "axs[1].set_yticks(jnp.arange(test_num_states))\n", "axs[1].set_yticklabels(jnp.arange(test_num_states) + 1)\n", "plt.colorbar(im)" - ] + ], + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 10, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "text/plain": [ + "
" + ], + "image/png": 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" + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "execution_count": 10 }, { "cell_type": "markdown", @@ -565,33 +622,29 @@ }, { "cell_type": "code", - "execution_count": 32, - "metadata": {}, - "outputs": [], + "metadata": { + "ExecuteTime": { + "end_time": "2025-04-19T20:50:14.166217Z", + "start_time": "2025-04-19T20:50:13.773698Z" + } + }, "source": [ "# Compute the posterior distribution of the latent states\n", - "posterior = model.smoother(fitted_params, emissions, inputs=inputs)" - ] + "posterior = model.smoother(params=fitted_params, emissions=emissions, inputs=inputs)" + ], + "outputs": [], + "execution_count": 11 }, { "cell_type": "code", - "execution_count": 33, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" + "metadata": { + "ExecuteTime": { + "end_time": "2025-04-19T20:50:15.423054Z", + "start_time": "2025-04-19T20:50:14.362806Z" } - ], + }, "source": [ - "\n", - "# Plot the true states and the posterior probability \n", + "# Plot the true states and the posterior probability\n", "plot_slice = (0, 1000)\n", "\n", "fig, axs = plt.subplots(2, 1, sharex=True)\n", @@ -599,7 +652,7 @@ "axs[0].set_xlim(plot_slice)\n", "axs[0].set_xticklabels([])\n", "axs[0].set_yticks([])\n", - "axs[0].set_title(\"True states of the AR-HMM\")\n", + "axs[0].set_title(\"True states of the HMM\")\n", "plt.colorbar(im, label=r\"$z_{\\mathrm{true}}$\")\n", "\n", "im = axs[1].imshow(posterior.smoothed_probs.T, aspect=\"auto\", interpolation=\"none\", cmap=\"Greys\", vmin=0, vmax=1)\n", @@ -612,7 +665,20 @@ "plt.colorbar(im, label=r\"$\\Pr(z_t=k \\mid y_{1:T}, x_{1:T}, \\hat{\\theta})$\")\n", "\n", "plt.tight_layout()" - ] + ], + "outputs": [ + { + "data": { + "text/plain": [ + "
" + ], + "image/png": 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" + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "execution_count": 12 }, { "cell_type": "markdown", @@ -622,6 +688,13 @@ "\n", "This notebook showed how to construct a custom HMM and use functions inherited from the base class to sample and fit the model. In this case, we created a Poisson GLM-HMM with non-negative weights, which is a useful model in its own right. To respect the non-negativity constraints, we used a bijector to map between reals and non-negative reals. We needed some boilerplate code to complete the model, but overall it's pretty straightforward to create your own models!" ] + }, + { + "metadata": {}, + "cell_type": "code", + "source": "", + "outputs": [], + "execution_count": null } ], "metadata": {