{ "cells": [ { "cell_type": "markdown", "id": "c651fabf-bccd-42eb-87fd-6ad774b0b937", "metadata": { "editable": true, "slideshow": { "slide_type": "" }, "tags": [] }, "source": [ "(generalised_filtering)=\n", "# From Reinforcement Learning to Generalised Bayesian Filtering\n", "\n", "[![Open In Colab](https://colab.research.google.com/assets/colab-badge.svg)](https://colab.research.google.com/github/ilabcode/pyhgf/blob/master/docs/source/notebooks/0.3-Generalised_filtering.ipynb)" ] }, { "cell_type": "code", "execution_count": null, "id": "31b80846", "metadata": { "editable": true, "slideshow": { "slide_type": "" }, "tags": [ "hide-cell" ] }, "outputs": [], "source": [ "import sys\n", "from IPython.utils import io\n", "if 'google.colab' in sys.modules:\n", "\n", " with io.capture_output() as captured:\n", " ! pip install pyhgf watermark" ] }, { "cell_type": "code", "execution_count": 1, "id": "6e337fd3-5a3e-4e0f-ab4f-e055cebfb7ff", "metadata": { "editable": true, "slideshow": { "slide_type": "" }, "tags": [] }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "An NVIDIA GPU may be present on this machine, but a CUDA-enabled jaxlib is not installed. Falling back to cpu.\n" ] } ], "source": [ "import jax.numpy as jnp\n", "import matplotlib.pyplot as plt\n", "import numpy as np\n", "import seaborn as sns\n", "from matplotlib.ticker import MultipleLocator\n", "from pyhgf.math import MultivariateNormal, Normal, gaussian_predictive_distribution\n", "from pyhgf.model import Network\n", "from pyhgf.utils import beliefs_propagation\n", "from scipy.stats import norm, t\n", "\n", "np.random.seed(123)\n", "plt.rcParams[\"figure.constrained_layout.use\"] = True" ] }, { "cell_type": "markdown", "id": "c9cfc583-b824-4495-8b41-e1a12da04831", "metadata": { "editable": true, "slideshow": { "slide_type": "" }, "tags": [] }, "source": [ "Hierarchical Gaussian filters can receive one-dimensional continuous and binary inputs by default, but they in practice be extended to a much broader class of distributions. Here, we use the approach described in {cite:p}`mathys:2020` to demonstrate that the Hierarchical Gaussian Filter can be generalized to any probability distribution that belongs to the [exponential family](https://en.wikipedia.org/wiki/Exponential_family). This is the sample principle that underpins the {ref}`categorical_hgf`, in which case the implied distribution is a Dirichlet distribution. However, by abstracting the specificity of each distribution away, we can implement probabilistic nodes that can flexibly filter any distribution from the exponential family, as an input node or as a state node, which greatly enlarges the range of possible models.\n", "\n", "Generalised Bayesian filtering in this context requires first expressing the Bayesian update of an exponential family distribution as a simple update over hyperparameters. Exponential families of probability distributions are those which can be written in the form:\n", "\n", "$$\n", "p(x|\\vartheta) = f_x(\\vartheta) := h(x) exp(\\eta(\\vartheta) · t(x) − b(\\vartheta))\n", "$$\n", "\n", "where:\n", "- $x$ is a vector-valued observation\n", "- $\\vartheta$ is a parameter vector\n", "- $h(x)$ is a normalization constant\n", "- $\\eta(\\vartheta)$ is the natural parameter vector\n", "- $t(x)$ is the sufficient statistic vector\n", "- $b(\\vartheta)$ is a scalar function\n", "\n", "It has been shown in {cite:p}`mathys:2020` that, when chosing as prior:\n", "\n", "$$\n", "p(\\vartheta|\\xi, \\nu) = g_{\\xi, \\nu}(\\vartheta) := z(\\xi, \\nu) \\exp (\\nu(\\eta(\\vartheta)·\\xi−b(\\vartheta)))\n", "$$\n", "\n", "with the variable\n", "\n", "$$\n", "z(\\xi, \\nu) := (\\int \\exp(\\nu(\\eta(\\vartheta) · \\xi−b(\\vartheta)))d\\vartheta)^{−1}\n", "$$\n", "\n", "as normalization constant, then the posterior is a simple update of the hyperparameters in the form:\n", "\n", "$$\n", "\\begin{align*}\n", "& \\nu \\leftarrow \\nu + 1 \\\\\n", "& \\xi \\leftarrow \\xi + \\frac{1}{\\nu + 1}(t(x)-\\xi)\n", "\\end{align*}\n", "$$" ] }, { "cell_type": "markdown", "id": "98b19008-9ec3-41e2-9fc5-fbb77c5e682e", "metadata": { "editable": true, "slideshow": { "slide_type": "" }, "tags": [] }, "source": [ "## Filtering the Sufficient Statistics of a Stationary Distribution\n", "\n", "We start applying this update steps to the estimation of the parameters from a stationary normal distribution." ] }, { "cell_type": "code", "execution_count": 2, "id": "f0be17ad-5611-4c89-80a2-9e45b1ddffc4", "metadata": { "editable": true, "slideshow": { "slide_type": "" }, "tags": [] }, "outputs": [], "source": [ "x = np.arange(-7, 7, 0.01) # x axis\n", "xi, nu = np.array([0, 1 / 8]), 1.0 # initial hyperparameters\n", "xs = np.random.normal(5, 1 / 4, 1000) # input observations" ] }, { "cell_type": "code", "execution_count": 3, "id": "ba318975-ce19-4b47-9934-bd02c0130e10", "metadata": { "editable": true, "slideshow": { "slide_type": "" }, "tags": [] }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(12, 3))\n", "plt.plot(\n", " x,\n", " gaussian_predictive_distribution(x, xi=xi, nu=nu),\n", " color=\"k\",\n", " label=\"Prior\",\n", " linestyle=\"--\",\n", ")\n", "for i, x_i in enumerate(xs):\n", " xi = xi + (1 / (1 + nu)) * (Normal().sufficient_statistics(x=x_i) - xi)\n", " nu += 1\n", "\n", " if i in [2, 4, 8, 16, 32, 64, 128, 256, 512, 999]:\n", " plt.plot(\n", " x,\n", " gaussian_predictive_distribution(x, xi=xi, nu=nu),\n", " color=\"grey\",\n", " linewidth=1.0,\n", " )\n", "plt.plot(\n", " x, norm.pdf(x, loc=5.0, scale=1 / 4), color=\"#582766\", label=\"Target distribution\"\n", ")\n", "plt.xlim(-2, 7)\n", "plt.legend()\n", "plt.grid(linestyle=\"--\")\n", "sns.despine()" ] }, { "cell_type": "markdown", "id": "a8f5b053-5bf8-4fd6-b909-c4b08e0e08d3", "metadata": { "editable": true, "slideshow": { "slide_type": "" }, "tags": [] }, "source": [ "The vizualisation of the predictive distribution over new observations require integrating the joint probability of the prior $g_{\\xi, \\nu}(\\vartheta)$ and the posterior $f_x(\\vartheta)$. In the case of a univariate normal, the *Gaussian-predictive* distribution is given by:\n", "\n", "$$\n", "\\mathcal{NP}(x, \\xi, \\nu) := \\sqrt{\\frac{1}{\\pi(\\nu+1)(\\xi_{x^2}-\\xi_{x}^2)}}\\frac{\\Gamma(\\frac{\\nu+2}{2})}{\\Gamma(\\frac{\\nu+1}{2})} \\left( 1+\\frac{(x-\\xi_{x})^2}{(\\nu+1)(\\xi_{x^2}-\\xi_x^2)} \\right) ^{-\\frac{\\nu+2}{2}}\n", "$$\n", "\n", "When $\\xi = 0, 1$, this corresponds to the Student's-t distribution with $\\nu + 1$ degrees of freedom, as evidenced here:" ] }, { "cell_type": "code", "execution_count": 4, "id": "add927a3-4233-484d-ad01-74ad03b87b5b", "metadata": { "editable": true, "scrolled": true, "slideshow": { "slide_type": "" }, "tags": [ "hide-input" ] }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "_, ax = plt.subplots(figsize=(7, 3))\n", "ax.plot(\n", " x,\n", " gaussian_predictive_distribution(x, xi=np.array([0, 1]), nu=10),\n", " linestyle=\"--\",\n", " label=r\"Gaussian-predictive $\\mathcal{NP}, (\\nu = 10)$\",\n", ")\n", "\n", "ax.plot(x, t.pdf(x, 11), linestyle=\":\", label=r\"Student's t, $(df = 11)$\")\n", "ax.xaxis.set_minor_locator(MultipleLocator(1))\n", "ax.yaxis.set_minor_locator(MultipleLocator(0.02))\n", "ax.set_title(\"Predictive distribution for a univariate Normal\")\n", "ax.legend()\n", "ax.grid(linestyle=\"--\")\n", "sns.despine()" ] }, { "cell_type": "markdown", "id": "a0b38681-6bcb-4c73-a985-4c961e7870f0", "metadata": { "editable": true, "slideshow": { "slide_type": "" }, "tags": [] }, "source": [ "## Filtering the Sufficient Statistics of a Non-Stationary Distribution\n", "Real-world applications of Bayesian filtering imply non-stationary distributions, in which cases the agent cannot rely anymore on distant observation and has to weigh down their evidence proportional to their distance from the current time point. In the current framework, this suggests that $\\nu$, the pseudo-count vector, cannot linearly increase with the number of new observations but has to be limited. The most straightforward way is then to fix it to some values.\n", "\n", "### Using a fixed $\\nu$\n", "\n", "This operation can be achieved using a continuous state node that implements the exponential family updates on the values that are passed by the value child nodes. Such nodes are referred to as `ef-` nodes, with the type of distribution (here a simple one-dimensional Gaussian distribution, therefore the kind is set to `\"ef-normal\"`). The input node is set to generic, which means that this input simply passes the observed value to the value parents without any additional computation. We can define such a model as follows:" ] }, { "cell_type": "code", "execution_count": 5, "id": "528427f1-5b70-4fa4-8bc1-ef8ebcf62bbc", "metadata": {}, "outputs": [], "source": [ "generalised_filter = (\n", " Network()\n", " .add_nodes(kind=\"generic-input\")\n", " .add_nodes(kind=\"ef-normal\", value_children=0, xis=np.array([0, 1 / 8]))\n", ")" ] }, { "cell_type": "code", "execution_count": 6, "id": "1798765e-3d65-4bfd-964b-7f9b6b0902be", "metadata": {}, "outputs": [ { "data": { "image/svg+xml": [ "\n", "\n", "\n", "\n", "\n", "\n", "hgf-nodes\n", "\n", "\n", "\n", "x_0\n", "\n", "\n", "\n", "\n", "x_1\n", "\n", "EF-1\n", "\n", "\n", "\n", "x_1->x_0\n", "\n", "\n", "\n", "\n", "\n" ], "text/plain": [ "" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" } ], "source": [ "generalised_filter.plot_network()" ] }, { "cell_type": "markdown", "id": "4eae7839-7024-43e6-899b-2b9e75e3d47c", "metadata": {}, "source": [ "We then create a time series to filter and pass it to the network using different values for the parameter $\\nu$, representing how much past values should influence the Bayesian update." ] }, { "cell_type": "code", "execution_count": 7, "id": "2d921e51-a940-42b2-88f2-e25bd7ab5a01", "metadata": { "editable": true, "slideshow": { "slide_type": "" }, "tags": [] }, "outputs": [], "source": [ "x = np.arange(0, 1000) # time points\n", "\n", "# create noisy input time series with switching means\n", "xs = np.random.normal(0, 1 / 8, 1000)\n", "xs[200:400] += 0.5\n", "xs[600:800] -= 0.5" ] }, { "cell_type": "code", "execution_count": 8, "id": "9176ddfd-df3f-4733-bb97-81deb71aa1b8", "metadata": {}, "outputs": [], "source": [ "means = []\n", "nus = [3, 9, 35]\n", "for nu in nus:\n", " # set the learning rate\n", " generalised_filter.attributes[1][\"nus\"] = nu\n", "\n", " means.append(generalised_filter.input_data(input_data=xs).to_pandas().x_1_xis_0)" ] }, { "cell_type": "code", "execution_count": 9, "id": "0754380d-87d0-430e-a533-540c5f252091", "metadata": { "editable": true, "slideshow": { "slide_type": "" }, "tags": [ "hide-input" ] }, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "_, ax = plt.subplots(figsize=(12, 3))\n", "ax.scatter(x, xs, color=\"grey\", alpha=0.6, s=10)\n", "for mean, nu in zip(means, nus):\n", " ax.plot(x, mean, label=rf\"$\\nu = {nu}$\")\n", "ax.grid(linestyle=\"--\")\n", "ax.set_title(r\"Filtering sufficient statistics using a fixed $\\nu$\")\n", "ax.set_xlabel(\"Observations\")\n", "ax.legend()\n", "sns.despine()" ] }, { "cell_type": "markdown", "id": "c0150462-c035-47c4-9f08-8eadad2f8d25", "metadata": {}, "source": [ "We can see that larger values for $\\nu$ correspond to a lower learning rate, and therefore smoother transition between states." ] }, { "cell_type": "markdown", "id": "fa04c2b1-afde-466d-ba48-b19705032d14", "metadata": { "editable": true, "slideshow": { "slide_type": "" }, "tags": [ "hide-input" ] }, "source": [ "### Using a dynamically adapted $\\nu$ through a collection of Hierarchical Gaussian Filters\n", "\n", "Limiting the number of past observations weighting in the predictive distribution comes with the difficult question of how to choose the correct value for such a parameter. Here, one solution to handle this is to let this parameter vary across time as a function of the volatility of the observations. Large unexpected variations should increase the learning rate, while limited, expected variations should increase the posterior precision. Interestingly, this is the kind of dynamic adaptation that reinforcement learning models are implementing, including the Hierarchical Gaussian Filter in this category. Here, we can derive the implied $\\nu$ from a ratio of prediction and observation differentials such as:\n", "\n", "$$\n", "\\nu = \\frac{\\delta}{\\Delta}\n", "$$\n", "\n", "with $\\delta$ the prediction error at time $k$ and $\\Delta$ the differential of expectations (before and after observing the new value).\n", "\n", "#### Univariate normal distribution" ] }, { "cell_type": "code", "execution_count": 10, "id": "baf6e2fc-dc8d-46bb-896b-ff5c45a944ee", "metadata": { "editable": true, "slideshow": { "slide_type": "" }, "tags": [] }, "outputs": [], "source": [ "univariate_hgf = (\n", " Network()\n", " .add_nodes(kind=\"continuous-input\", node_parameters={\"input_precision\": 100})\n", " .add_nodes(value_children=0, node_parameters={\"tonic_volatility\": -6.0})\n", " .add_nodes(\n", " volatility_children=[1], node_parameters={\"mean\": 0, \"tonic_volatility\": -2}\n", " )\n", ")" ] }, { "cell_type": "code", "execution_count": 11, "id": "f7a6c0da-934f-4782-af6b-6b5ad2e94c02", "metadata": { "editable": true, "slideshow": { "slide_type": "" }, "tags": [] }, "outputs": [], "source": [ "attributes, structure, update_sequence = univariate_hgf.get_network()\n", "\n", "nus = []\n", "for i, x_i in enumerate(xs):\n", " mean = attributes[1][\"mean\"]\n", "\n", " attributes, _ = beliefs_propagation(\n", " structure=structure,\n", " attributes=attributes,\n", " input_data=(x_i, [1.0], 1.0),\n", " update_sequence=update_sequence,\n", " )\n", "\n", " new_mean = attributes[1][\"mean\"]\n", "\n", " nus.append(((x_i - mean) / (new_mean - mean)) - 1)" ] }, { "cell_type": "code", "execution_count": 12, "id": "45cdf250-5a7c-4dc3-b5e7-46055cb35adf", "metadata": { "editable": true, "slideshow": { "slide_type": "" }, "tags": [] }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "_, ax = plt.subplots(figsize=(12, 3))\n", "ax.plot(x, nus, label=rf\"Implied $\\nu$\")\n", "ax.grid(linestyle=\"--\")\n", "ax.set_title(r\"Implied $\\nu$ parameter by the HGF learning rate\")\n", "ax.set_ylabel(r\"$\\nu$\")\n", "ax.set_xlabel(\"Observations\")\n", "ax.legend()\n", "sns.despine()" ] }, { "cell_type": "markdown", "id": "a74a4730-0811-4d77-a698-aeb73a80d185", "metadata": { "editable": true, "slideshow": { "slide_type": "" }, "tags": [] }, "source": [ "#### Bivariate normal distribution" ] }, { "cell_type": "code", "execution_count": 13, "id": "781b08fc-a2c7-4856-a103-beffd7787325", "metadata": { "editable": true, "slideshow": { "slide_type": "" }, "tags": [] }, "outputs": [], "source": [ "# simulate an ordered spiral data set\n", "N = 1000\n", "theta = np.sort(np.sqrt(np.random.rand(N)) * 5 * np.pi)\n", "r_a = -2 * theta - np.pi\n", "input_data = np.array([np.cos(theta) * r_a, np.sin(theta) * r_a]).T\n", "input_data = input_data + np.random.randn(N, 2) * 2" ] }, { "cell_type": "code", "execution_count": 14, "id": "ea1ce29f-dd89-44cb-aabd-6d93ecbf128b", "metadata": { "editable": true, "slideshow": { "slide_type": "" }, "tags": [] }, "outputs": [], "source": [ "# get the sufficient statistics from the first observation to parametrize the model\n", "sufficient_statistics = jnp.apply_along_axis(\n", " MultivariateNormal().sufficient_statistics, 1, input_data\n", ")" ] }, { "cell_type": "markdown", "id": "edc7c5e6-57bb-4965-b0b1-ab656af86273", "metadata": { "editable": true, "slideshow": { "slide_type": "" }, "tags": [] }, "source": [ "Filtering the sufficient statistics of a two dimensional multivariate normal distribution requires tracking the values of 5 parameters in paralell. Our model therefore consist in 5 independent two-level continuous HGF." ] }, { "cell_type": "code", "execution_count": 15, "id": "d4ac6695-29c0-4ed4-b079-ddf073bac272", "metadata": { "editable": true, "slideshow": { "slide_type": "" }, "tags": [] }, "outputs": [ { "data": { "image/svg+xml": [ "\n", "\n", "\n", "\n", "\n", "\n", "hgf-nodes\n", "\n", "\n", "\n", "x_0\n", "\n", "Co-0\n", "\n", "\n", "\n", "x_1\n", "\n", "Co-1\n", "\n", "\n", "\n", "x_2\n", "\n", "Co-2\n", "\n", "\n", "\n", "x_3\n", "\n", "Co-3\n", "\n", "\n", "\n", "x_4\n", "\n", "Co-4\n", "\n", "\n", "\n", "x_5\n", "\n", "5\n", "\n", "\n", "\n", "x_5->x_0\n", "\n", "\n", "\n", "\n", "\n", "x_6\n", "\n", "6\n", "\n", "\n", "\n", "x_6->x_1\n", "\n", "\n", "\n", "\n", "\n", "x_7\n", "\n", "7\n", "\n", "\n", "\n", "x_7->x_2\n", "\n", "\n", "\n", "\n", "\n", "x_8\n", "\n", "8\n", "\n", "\n", "\n", "x_8->x_3\n", "\n", "\n", "\n", "\n", "\n", "x_9\n", "\n", "9\n", "\n", "\n", "\n", "x_9->x_4\n", "\n", "\n", "\n", "\n", "\n", "x_10\n", "\n", "10\n", "\n", "\n", "\n", "x_10->x_5\n", "\n", "\n", "\n", "\n", "\n", "x_11\n", "\n", "11\n", "\n", "\n", "\n", "x_11->x_6\n", "\n", "\n", "\n", "\n", "\n", "x_12\n", "\n", "12\n", "\n", "\n", "\n", "x_12->x_7\n", "\n", "\n", "\n", "\n", "\n", "x_13\n", "\n", "13\n", "\n", "\n", "\n", "x_13->x_8\n", "\n", "\n", "\n", "\n", "\n", "x_14\n", "\n", "14\n", "\n", "\n", "\n", "x_14->x_9\n", "\n", "\n", "\n", "\n", "\n" ], "text/plain": [ "" ] }, "execution_count": 15, "metadata": {}, "output_type": "execute_result" } ], "source": [ "bivariate_hgf = Network().add_nodes(\n", " kind=\"continuous-input\",\n", " node_parameters={\"input_precision\": 0.1, \"expected_precision\": 0.1},\n", " n_nodes=5,\n", ")\n", "\n", "for i in range(5):\n", " bivariate_hgf.add_nodes(\n", " value_children=i,\n", " node_parameters={\n", " \"tonic_volatility\": -6.0,\n", " \"mean\": sufficient_statistics[0][i],\n", " },\n", " )\n", "\n", "for i in range(5):\n", " bivariate_hgf.add_nodes(\n", " volatility_children=[i + 5],\n", " node_parameters={\"mean\": 10.0, \"tonic_volatility\": -2},\n", " )\n", "bivariate_hgf.plot_network()" ] }, { "cell_type": "markdown", "id": "b63f1702-7b2c-466a-a23e-ca2f5e64334b", "metadata": { "editable": true, "slideshow": { "slide_type": "" }, "tags": [] }, "source": [ "For us to compute the hyperparameter after each update, we need to *manually* call the belief propagation sequence." ] }, { "cell_type": "code", "execution_count": 16, "id": "33a605f4-17bf-4c5a-b8fb-674fd6a04947", "metadata": { "editable": true, "slideshow": { "slide_type": "" }, "tags": [] }, "outputs": [], "source": [ "attributes, structure, update_sequence = bivariate_hgf.get_network()\n", "\n", "nus, means = [], []\n", "for i in range(input_data.shape[0]):\n", " mean = jnp.array([attributes[i][\"mean\"] for i in range(5, 10)])\n", " means.append(mean)\n", " attributes, _ = beliefs_propagation(\n", " structure=structure,\n", " attributes=attributes,\n", " input_data=(sufficient_statistics[i], jnp.ones(5), jnp.ones(5)),\n", " update_sequence=update_sequence,\n", " )\n", "\n", " new_mean = jnp.array([attributes[i][\"mean\"] for i in range(5, 10)])\n", " nus.append(((sufficient_statistics[i] - mean) / (new_mean - mean)) - 1)\n", "nus = jnp.array(nus)\n", "means = jnp.array(means)" ] }, { "cell_type": "code", "execution_count": 17, "id": "71232d11-abbf-4459-9116-501fc5831bef", "metadata": { "editable": true, "scrolled": true, "slideshow": { "slide_type": "" }, "tags": [ "hide-input" ] }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "_, ax = plt.subplots(figsize=(12, 12), nrows=5)\n", "for i in range(5):\n", " ax[i].plot(x, nus[:, i], label=rf\"Implied $\\nu$\")\n", " ax[i].grid(linestyle=\"--\")\n", " ax[i].set_title(rf\"Implied $\\nu_{i}$ parameter by the HGF learning rate\")\n", " ax[i].set_ylabel(rf\"$\\nu_{i}$\")\n", " ax[i].set_xlabel(\"Observations\")\n", " ax[i].legend()\n", "sns.despine()" ] }, { "cell_type": "code", "execution_count": 18, "id": "5afba8ab-ee69-4747-9fa0-4c12e4d09d8f", "metadata": { "editable": true, "slideshow": { "slide_type": "" }, "tags": [ "hide-cell" ] }, "outputs": [], "source": [ "# run this code to create the animation\n", "\n", "# fig, ax = plt.subplots(figsize=(5, 5))\n", "# scat = ax.scatter(\n", "# input_data[0, 0],\n", "# input_data[0, 1],\n", "# edgecolor=\"k\",\n", "# alpha=0.4,\n", "# s=10\n", "# )\n", "# scat2 = ax.scatter(\n", "# means[0, 1],\n", "# means[0, 0],\n", "# edgecolor=\"#c44e52\",\n", "# s=25\n", "# )\n", "# plot = ax.plot(\n", "# means[0, 1],\n", "# means[0, 0],\n", "# color=\"#c44e52\",\n", "# linestyle=\"--\",\n", "# label=\"Belief trajectory\"\n", "# )[0]\n", "# ax.grid(linestyle=\"--\")\n", "# ax.set(\n", "# xlim=[-35, 35],\n", "# ylim=[-35, 35],\n", "# xlabel=r\"$x_1$\",\n", "# ylabel=r\"$x_2$\",\n", "# title=r\"Filtering a bivariate stochastic process\",\n", "# )\n", "# plt.tight_layout()\n", "#\n", "#\n", "# def update(frame):\n", "# # update the scatter plot\n", "# data = np.stack([input_data[:frame, 0], input_data[:frame, 1]]).T\n", "# scat.set_offsets(data)\n", "#\n", "# data2 = np.stack([means[frame, 0], means[frame, 1]]).T\n", "# scat2.set_offsets(data2)\n", "#\n", "# # update the belief trajectory\n", "# plot.set_ydata(means[:frame, 1])\n", "# plot.set_xdata(means[:frame, 0])\n", "# return scat, scat2, plot\n", "#\n", "# ani = animation.FuncAnimation(fig=fig, func=update, frames=1000, interval=30)\n", "# ani.save(\"anim.gif\")" ] }, { "cell_type": "markdown", "id": "a6909d46-2fe0-4c5b-8914-2469c65ac701", "metadata": { "editable": true, "slideshow": { "slide_type": "" }, "tags": [] }, "source": [ "![multivariate_hgf](../images/multivariate_hgf.gif)" ] }, { "cell_type": "markdown", "id": "fa3af903-9f8d-4d4f-9e8a-e2ae3a67d429", "metadata": { "editable": true, "slideshow": { "slide_type": "" }, "tags": [] }, "source": [ "```{note}\n", "The animation above displays the mean tracking of a bivariate normal distribution. This is equivalent to tracking the mean of the x and y axis using two separate HGFs. However, the generalized filtering process does more than that under the hood by tracking the whole sufficient statistic vector, which incorporates information about the covariance of the implied multivariate distribution. The full visualization of this distribution requires derivating the posterior predictive distribution of the multivariate normal, as parametrized by the vectors $\\nu$ and $\\xi$.\n", "```" ] }, { "cell_type": "markdown", "id": "ef848ca4-3492-4b45-81d9-14e4133f23ae", "metadata": {}, "source": [ "# System configuration" ] }, { "cell_type": "code", "execution_count": 19, "id": "98fb7497-1284-42cf-930e-5c318cbacb6b", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Last updated: Fri Aug 23 2024\n", "\n", "Python implementation: CPython\n", "Python version : 3.12.3\n", "IPython version : 8.23.0\n", "\n", "pyhgf : 0.1.4\n", "jax : 0.4.31\n", "jaxlib: 0.4.31\n", "\n", "numpy : 1.26.0\n", "matplotlib: 3.8.4\n", "seaborn : 0.13.2\n", "jax : 0.4.31\n", "\n", "Watermark: 2.4.3\n", "\n" ] } ], "source": [ "%load_ext watermark\n", "%watermark -n -u -v -iv -w -p pyhgf,jax,jaxlib" ] }, { "cell_type": "code", "execution_count": null, "id": "65bcd439-2583-4c2e-8db0-b845cc6ba201", "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.12.3" } }, "nbformat": 4, "nbformat_minor": 5 }