{ "cells": [ { "cell_type": "markdown", "id": "c651fabf-bccd-42eb-87fd-6ad774b0b937", "metadata": { "editable": true, "slideshow": { "slide_type": "" }, "tags": [] }, "source": [ "(generalised_filtering)=\n", "# Generalised Bayesian Filtering of exponential family distributions" ] }, { "cell_type": "markdown", "id": "fe6b34cf-2de5-4763-af6a-785b2930e679", "metadata": {}, "source": [ "[![Open In Colab](https://colab.research.google.com/assets/colab-badge.svg)](https://colab.research.google.com/github/ComputationalPsychiatry/pyhgf/blob/master/docs/source/notebooks/0.3-Generalised_filtering.ipynb)" ] }, { "cell_type": "code", "execution_count": 1, "id": "31b80846", "metadata": { "editable": true, "slideshow": { "slide_type": "" }, "tags": [ "hide-cell" ] }, "outputs": [], "source": [ "import sys\n", "\n", "from IPython.utils import io\n", "\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": 2, "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 scipy.stats import norm, t\n", "\n", "from pyhgf.math import MultivariateNormal, Normal, gaussian_predictive_distribution\n", "from pyhgf.model import Network\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": [ "In this tutorial, we are interested in online Bayesian filtering when applied to [exponential family distributions](https://en.wikipedia.org/wiki/Exponential_family). Bayesian inference in high-dimensional space can rapidly become intractable, requiring approximation or sampling methods that always remain computationally costly. However exponential family distributions have interesting properties that allow expressing Bayesian updates through a simple closed-form solution over hyperparameters that is common to all family members. This property is well-described for stationary distributions and can extend to non-stationary distributions through the application of a fixed learning rate. But this solution can be further improved by dynamically learning the learning rate itself, which is something that Hierarchical Gaussian Filters are especially good at. \n", "\n", "Here, we leverage 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). In this tutorial we will describe how to filter stationary and non-stationary distributions using a fixed learning rate or by using a predictive coding network on top of sufficient statistics elicited by new observations. This approach has the advantage of being extremely modular and flexible while extending dynamic Bayesian filtering to a whole range of models. This already underpins the {ref}`categorical_hgf`, in which case the implied distribution is a Dirichlet distribution.\n", "\n", "## Theory\n", "\n", ":::{hint} Exponential family distributions\n", "Exponential family distributions are probability distributions which can be written in the form:\n", "$$\n", "p(x|\\vartheta) = f_x(\\vartheta) := h(x) exp(\\eta(\\vartheta) · t(x) − b(\\vartheta))\n", "$$\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", "\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": 3, "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": 4, "id": "ba318975-ce19-4b47-9934-bd02c0130e10", "metadata": { "editable": true, "slideshow": { "slide_type": "" }, "tags": [ "hide-input" ] }, "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)) * (\n", " Normal().sufficient_statistics_from_observations(x=x_i) - xi\n", " )\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": 5, "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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", 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" ] }, "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 can no longer rely 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. Here, we start by applying this naive approach to a set of popular distributions, and then for each of them we illustrate how a collection of Hierarchical Gaussian Filters over sufficient statistics can help dynamic inference over the variable $\\nu$ itself.\n", "\n", "### Gaussian distribution\n", "\n", "#### Generalised Bayesian Filtering: using a fixed $\\nu$\n", "\n", "This operation can be achieved using an exponential family state node, using the following parameters:\n", "- Setting `kind=\"ef-state\"`. We also set `learning=\"generalised-filtering\"` to explicitly inform the node it should use the general filtering approach (using a fixed $\\nu$)\n", "- using a 1-dimensional Gaussian distribution by setting `distribution=\"normal\"`\n", "- using `nus=3.0`, this parameter will behave as the inverse of a learning rate, informing how much in the past we are looking to update the current sufficient statistics.\n", "- setting `xis=np.array([0, 1 / 8])`, this is our starting point and first guess for the expected sufficient statistics.\n", "\n", "Some of these steps were unnecessary, as this is the toolbox's default behaviour, but we added them here for clarity." ] }, { "cell_type": "code", "execution_count": 6, "id": "528427f1-5b70-4fa4-8bc1-ef8ebcf62bbc", "metadata": { "editable": true, "slideshow": { "slide_type": "" }, "tags": [] }, "outputs": [], "source": [ "generalised_filter = Network().add_nodes(\n", " kind=\"ef-state\", distribution=\"normal\", nus=3.0, xis=np.array([0, 1 / 8])\n", ")" ] }, { "cell_type": "markdown", "id": "87760ecd-821e-458d-903a-594018610d1d", "metadata": { "editable": true, "slideshow": { "slide_type": "" }, "tags": [] }, "source": [ ":::{note} From sufficient statistics to distribution parameters and backwards\n", ":class: dropdown\n", "\n", "When using a 1-dimensional Gaussian distribution, Setting $\\xi = [0, \\frac{1}{8}]$ is equivalent to a mean $\\mu = 0.0$ and a variance $\\sigma^2 = \\frac{1}{8}$. You can convert between distribution parameters and expected sufficient statistics using the distribution classes from PyHGF (when implemented):\n", "\n", "```python\n", "from pyhgf.math import Normal\n", "\n", "# from an observation to sufficient statistics\n", "Normal.sufficient_statistics_from_observations(x=1.5)\n", "```\n", "> Array([1.5 , 2.25], dtype=float32)\n", "\n", "```python\n", "# from distribution parameters to sufficient statistics\n", "Normal.sufficient_statistics_from_parameters(mean=0.0, variance=4.0)\n", "```\n", "> Array([0., 4.], dtype=float32)\n", "\n", "```python\n", "# from sufficient statistics to distribution parameters\n", "Normal.parameters_from_sufficient_statistics(xis=[0.0, 4.0])\n", "```\n", "> (0.0, 4.0)\n", "\n", ":::" ] }, { "cell_type": "markdown", "id": "594c726c-bfee-41df-a72b-7cbbac89aaa6", "metadata": { "editable": true, "slideshow": { "slide_type": "" }, "tags": [] }, "source": [ "The resulting network consists in a single node that encapsulate all computation and do not depends on other nodes. Nodes supporting exponential family distribution can therefore support inputs of various shapes whithout requiring multiple input nodes." ] }, { "cell_type": "code", "execution_count": 7, "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", "EF-0\n", "\n", "\n", "\n" ], "text/plain": [ "" ] }, "execution_count": 7, "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": 8, "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", "y = np.random.normal(0, 1 / 8, 1000)\n", "y[200:400] += 0.5\n", "y[600:800] -= 0.5" ] }, { "cell_type": "code", "execution_count": 9, "id": "adf8d014-77a2-4789-a200-18533adb0915", "metadata": {}, "outputs": [], "source": [ "generalised_filter.input_data(input_data=y);" ] }, { "cell_type": "code", "execution_count": 10, "id": "9176ddfd-df3f-4733-bb97-81deb71aa1b8", "metadata": {}, "outputs": [], "source": [ "means, variances = [], []\n", "nus = [3, 9, 35]\n", "for nu in nus:\n", "\n", " # set a new learning rate\n", " generalised_filter.attributes[0][\"nus\"] = nu\n", "\n", " # fit to new data and convert the sufficient statistics into distribution parameters\n", " mean, variance = Normal.parameters_from_sufficient_statistics(\n", " xis=generalised_filter.input_data(input_data=y).node_trajectories[0][\"xis\"].T\n", " )\n", "\n", " # save distribution parameters \n", " means.append(mean)\n", " variances.append(variance)" ] }, { "cell_type": "code", "execution_count": 11, "id": "0754380d-87d0-430e-a533-540c5f252091", "metadata": { "editable": true, "slideshow": { "slide_type": "" }, "tags": [ "hide-input" ] }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "_, axs = plt.subplots(figsize=(12, 5), nrows=2, sharex=True)\n", "axs[0].scatter(x, y, color=\"grey\", alpha=0.6, s=10)\n", "for mean, nu in zip(means, nus):\n", " axs[0].plot(x, mean, label=rf\"$\\nu = {nu}$\")\n", "axs[0].grid(linestyle=\"--\")\n", "axs[0].set_title(r\"Filtering sufficient statistics using a fixed $\\nu$\")\n", "axs[0].set_ylabel(\"Mean\")\n", "axs[0].legend()\n", "\n", "for variance, nu in zip(variances, nus):\n", " axs[1].plot(x, jnp.sqrt(variance), label=rf\"$\\nu = {nu}$\")\n", "axs[1].grid(linestyle=\"--\")\n", "axs[1].set_xlabel(\"Observations\")\n", "axs[1].set_ylabel(\"Standard deviation\")\n", "axs[1].legend()\n", "\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", "$$\n", "\\nu \\leftarrow \\frac{\\delta}{\\Delta}\n", "$$\n", "\n", "with $\\delta$ the prediction error at time $k$ and $\\Delta$ the differential of expectations (before and after observing the new value)." ] }, { "cell_type": "code", "execution_count": 12, "id": "baf6e2fc-dc8d-46bb-896b-ff5c45a944ee", "metadata": { "editable": true, "slideshow": { "slide_type": "" }, "tags": [] }, "outputs": [], "source": [ "univariate_hgf = Network().add_nodes(kind=\"ef-state\", learning=\"hgf-1\")\n", "univariate_hgf.attributes[1][\"precision\"] = 100.0\n", "univariate_hgf.attributes[4][\"precision\"] = 100.0" ] }, { "cell_type": "code", "execution_count": 13, "id": "2f56c8e2-125e-4099-b511-ef8160d1aa56", "metadata": {}, "outputs": [ { "data": { "image/svg+xml": [ "\n", "\n", "\n", "\n", "\n", "\n", "hgf-nodes\n", "\n", "\n", "\n", "x_0\n", "\n", "EF-0\n", "\n", "\n", "\n", "x_1\n", "\n", "1\n", "\n", "\n", "\n", "x_1->x_0\n", "\n", "\n", "\n", "\n", "\n", "x_2\n", "\n", "2\n", "\n", "\n", "\n", "x_2->x_1\n", "\n", "\n", "\n", "\n", "\n", "x_3\n", "\n", "3\n", "\n", "\n", "\n", "x_3->x_0\n", "\n", "\n", "\n", "\n", "\n", "x_4\n", "\n", "4\n", "\n", "\n", "\n", "x_4->x_3\n", "\n", "\n", "\n", "\n", "\n" ], "text/plain": [ "" ] }, "execution_count": 13, "metadata": {}, "output_type": "execute_result" } ], "source": [ "univariate_hgf.plot_network()" ] }, { "cell_type": "code", "execution_count": 14, "id": "2cc62622-0709-41f3-8ccd-d7024099de7a", "metadata": { "scrolled": true }, "outputs": [], "source": [ "univariate_hgf.input_data(input_data=y);" ] }, { "cell_type": "code", "execution_count": 15, "id": "4a37b874-2085-4028-9358-6897f33dbda6", "metadata": {}, "outputs": [], "source": [ "# get the sufficient statistics from the first observation to parametrize the model\n", "mean, variance = jnp.apply_along_axis(\n", " Normal().parameters_from_sufficient_statistics, 1, univariate_hgf.node_trajectories[0][\"xis\"]\n", ")" ] }, { "cell_type": "code", "execution_count": 16, "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": [ "_, axs = plt.subplots(figsize=(12, 5), nrows=2, sharex=True)\n", "axs[0].scatter(x, y, color=\"grey\", alpha=0.6, s=10)\n", "axs[0].plot(x, mean, label=\"Mean\")\n", "axs[0].grid(linestyle=\"--\")\n", "axs[0].set_title(r\"Filtering sufficient statistics using a HGF informed learning rate\")\n", "axs[0].set_ylabel(\"Mean\")\n", "axs[0].legend()\n", "\n", "axs[1].plot(x, jnp.sqrt(variance), label=\"Standard deviation\")\n", "axs[1].grid(linestyle=\"--\")\n", "axs[1].set_xlabel(\"Observations\")\n", "axs[1].set_ylabel(\"Standard deviation\")\n", "axs[1].legend()\n", "\n", "sns.despine()" ] }, { "cell_type": "markdown", "id": "5e7cfb60-a0f2-4e58-a12f-75b048d2bc1e", "metadata": { "editable": true, "slideshow": { "slide_type": "" }, "tags": [] }, "source": [ "```{note}\n", "In this model, each sufficient statistic is filtered separately, resulting in an implied learning rate for each of them. While this approach has the advantage of dynamically learning the various components of a distribution (see also how this can be done by value and volatility parents in the case of a continuous input {ref}`example_2`), this can result in invalid sufficient statistics (e.g. where the equality $\\xi_1^2 = \\xi_2$ does not hold anymore). Here, and in the rest of the examples, we simply average the learning rate to ensure consistent updating of the predictive distribution. \n", "```" ] }, { "cell_type": "markdown", "id": "a74a4730-0811-4d77-a698-aeb73a80d185", "metadata": { "editable": true, "slideshow": { "slide_type": "" }, "tags": [] }, "source": [ "### Multivariate Gaussian distribution" ] }, { "cell_type": "code", "execution_count": 17, "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", "spiral_data = np.array([np.cos(theta) * r_a, np.sin(theta) * r_a]).T \n", "spiral_data += np.random.randn(N, 2) * .75 + np.random.randn(N, 2) * 1.5 * np.tile(np.repeat((0, 1, 0, 1, 0, 1, 0, 1, 0, 1), 100), (2, 1)).T" ] }, { "cell_type": "markdown", "id": "0d23e4fb-763f-49b0-8951-3307912d73a9", "metadata": {}, "source": [ "#### Generalised Bayesian Filtering: using a fixed $\\nu$" ] }, { "cell_type": "code", "execution_count": 18, "id": "95e816bf-ad17-49e1-a6ea-9ac4e0f28939", "metadata": {}, "outputs": [], "source": [ "bivariate_normal = Network().add_nodes(\n", " kind=\"ef-state\", \n", " nus=8.0,\n", " learning=\"generalised-filtering\", \n", " distribution=\"multivariate-normal\", \n", " dimension=2\n", ").input_data(input_data=spiral_data)" ] }, { "cell_type": "code", "execution_count": 19, "id": "17e7a126-7d6f-4467-a019-87cf0352a30a", "metadata": {}, "outputs": [], "source": [ "# get the sufficient statistics from the first observation to parametrize the model\n", "means, covariances = jnp.apply_along_axis(\n", " MultivariateNormal().parameters_from_sufficient_statistics, 1, bivariate_normal.node_trajectories[0][\"xis\"], dimension=2\n", ")" ] }, { "cell_type": "markdown", "id": "a6909d46-2fe0-4c5b-8914-2469c65ac701", "metadata": { "editable": true, "slideshow": { "slide_type": "" }, "tags": [] }, "source": [ "```{figure} ../images/multivariate_normal.gif\n", "---\n", "name: multivariate-normal\n", "---\n", "The animation above displays the mean and covariance tracking of a bivariate normal distribution. The ellipse represents the 95% confidence interval of the covariance matrix. We can see that uncertainty is increasing in noisier sections of the distribution trajectory.\n", "```" ] }, { "cell_type": "markdown", "id": "6f43648b-c1f5-4849-a9b2-59e033878a3d", "metadata": { "editable": true, "slideshow": { "slide_type": "" }, "tags": [] }, "source": [ "::::{note} Code to create this animation 👈\n", ":class: dropdown\n", "\n", ":::{code} python\n", "\n", "from matplotlib.animation import FuncAnimation\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "from scipy.stats import chi2\n", "from matplotlib.patches import Ellipse\n", "from pyhgf.model import Network\n", "import jax.numpy as jnp\n", "from pyhgf.math import MultivariateNormal\n", "\n", "# 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", "spiral_data = np.array([np.cos(theta) * r_a, np.sin(theta) * r_a]).T \n", "spiral_data += np.random.randn(N, 2) * .75 + np.random.randn(N, 2) * 1.5 * np.tile(np.repeat((0, 1, 0, 1, 0, 1, 0, 1, 0, 1), 100), (2, 1)).T\n", "\n", "bivariate_normal = Network().add_nodes(\n", " kind=\"ef-state\", \n", " nus=8.0,\n", " learning=\"generalised-filtering\", \n", " distribution=\"multivariate-normal\", \n", " dimension=2\n", ").input_data(input_data=spiral_data)\n", "\n", "# get the sufficient statistics from the first observation to parametrize the model\n", "means, covariances = jnp.apply_along_axis(\n", " MultivariateNormal().parameters_from_sufficient_statistics, 1, bivariate_normal.node_trajectories[0][\"xis\"], dimension=2\n", ")\n", "\n", "def plot_confidence_intervals(mean, cov, confidence_level=.95, plot=True):\n", " \n", " # Chi-squared value for the confidence level\n", " chi2_val = chi2.ppf(confidence_level, df=2)\n", " scaling_factor = np.sqrt(chi2_val)\n", " \n", " # Eigenvalues and eigenvectors of the covariance matrix\n", " eigenvalues, eigenvectors = np.linalg.eigh(cov)\n", " \n", " # Calculate the ellipse parameters\n", " width = 2 * scaling_factor * np.sqrt(eigenvalues[1]) # Semi-major axis\n", " height = 2 * scaling_factor * np.sqrt(eigenvalues[0]) # Semi-minor axis\n", " angle = np.degrees(np.arctan2(eigenvectors[1, 1], eigenvectors[0, 1])) # Use the largest eigenvalue's eigenvector\n", " \n", " # Return the ellipse\n", " if plot:\n", " return Ellipse(xy=mean, width=width, height=height, angle=angle, alpha=.2, color=\"#c44e52\")\n", " else:\n", " return mean, width, height, angle\n", "\n", "fig, ax = plt.subplots(figsize=(5, 5))\n", "scat = ax.scatter(\n", " spiral_data[0, 0],\n", " spiral_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", "\n", "# Confidence intervals\n", "ellipse = plot_confidence_intervals(means[0, :], covariances[0, :])\n", "ax.add_patch(ellipse)\n", "\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=f\"Bayesian Filtering \\n of a Bivariate Stochastic Process\",\n", ")\n", "plt.tight_layout()\n", "\n", "\n", "def update(frame):\n", " frame *= 3\n", " # update the scatter plot\n", " data = np.stack([spiral_data[:frame, 0], spiral_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", "\n", " # update the confidence intervals\n", " mean, width, height, angle = plot_confidence_intervals(\n", " means[frame, :], covariances[frame, :], plot=False\n", " )\n", " ellipse.set_center(mean)\n", " ellipse.width = width\n", " ellipse.height = height\n", " ellipse.angle = angle\n", "\n", " return scat, scat2, plot, ellipse\n", "\n", "ani = FuncAnimation(fig=fig, func=update, frames=333, interval=100)\n", "ani.save(\"anim.gif\")\n", ":::\n", "\n", "::::" ] }, { "cell_type": "markdown", "id": "32b98e41-fba5-4a5e-a85e-2de6cb39fee5", "metadata": {}, "source": [ "#### Using a dynamically adapted $\\nu$ through a collection of Hierarchical Gaussian Filters" ] }, { "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 parallel. Our model therefore consists of 5 independent two-level continuous HGF." ] }, { "cell_type": "code", "execution_count": 20, "id": "c16026ce-fab5-4753-82ef-39eb7a136fa8", "metadata": {}, "outputs": [], "source": [ "bivariate_hgf = Network().add_nodes(\n", " kind=\"ef-state\", \n", " learning=\"hgf-2\", \n", " distribution=\"multivariate-normal\", \n", " dimension=2\n", ")\n", "\n", "# adapting prior parameter values to the sufficient statistics\n", "# covariances statistics will have greater variability and amplitudes\n", "for node_idx in [2, 5, 8, 11, 14]:\n", " bivariate_hgf.attributes[node_idx][\"tonic_volatility\"] = -2.0\n", "for node_idx in [1, 4, 7, 10, 13]:\n", " bivariate_hgf.attributes[node_idx][\"precision\"] = .01\n", "for node_idx in [9, 12, 15]:\n", " bivariate_hgf.attributes[node_idx][\"mean\"] = 10.0" ] }, { "cell_type": "code", "execution_count": 21, "id": "39a4137d-e549-4b21-ab25-1ae2abfe9475", "metadata": {}, "outputs": [ { "data": { "image/svg+xml": [ "\n", "\n", "\n", "\n", "\n", "\n", "hgf-nodes\n", "\n", "\n", "\n", "x_0\n", "\n", "EF-0\n", "\n", "\n", "\n", "x_1\n", "\n", "1\n", "\n", "\n", "\n", "x_1->x_0\n", "\n", "\n", "\n", "\n", "\n", "x_2\n", "\n", "2\n", "\n", "\n", "\n", "x_2->x_1\n", "\n", "\n", "\n", "\n", "\n", "x_3\n", "\n", "3\n", "\n", "\n", "\n", "x_3->x_2\n", "\n", "\n", "\n", "\n", "\n", "x_4\n", "\n", "4\n", "\n", "\n", "\n", "x_4->x_0\n", "\n", "\n", "\n", "\n", "\n", "x_5\n", "\n", "5\n", "\n", "\n", "\n", "x_5->x_4\n", "\n", "\n", "\n", "\n", "\n", "x_6\n", "\n", "6\n", "\n", "\n", "\n", "x_6->x_5\n", "\n", "\n", "\n", "\n", "\n", "x_7\n", "\n", "7\n", "\n", "\n", "\n", "x_7->x_0\n", "\n", "\n", "\n", "\n", "\n", "x_8\n", "\n", "8\n", "\n", "\n", "\n", "x_8->x_7\n", "\n", "\n", "\n", "\n", "\n", "x_9\n", "\n", "9\n", "\n", "\n", "\n", "x_9->x_8\n", "\n", "\n", "\n", "\n", "\n", "x_10\n", "\n", "10\n", "\n", "\n", "\n", "x_10->x_0\n", "\n", "\n", "\n", "\n", "\n", "x_11\n", "\n", "11\n", "\n", "\n", "\n", "x_11->x_10\n", "\n", "\n", "\n", "\n", "\n", "x_12\n", "\n", "12\n", "\n", "\n", "\n", "x_12->x_11\n", "\n", "\n", "\n", "\n", "\n", "x_13\n", "\n", "13\n", "\n", "\n", "\n", "x_13->x_0\n", "\n", "\n", "\n", "\n", "\n", "x_14\n", "\n", "14\n", "\n", "\n", "\n", "x_14->x_13\n", "\n", "\n", "\n", "\n", "\n", "x_15\n", "\n", "15\n", "\n", "\n", "\n", "x_15->x_14\n", "\n", "\n", "\n", "\n", "\n" ], "text/plain": [ "" ] }, "execution_count": 21, "metadata": {}, "output_type": "execute_result" } ], "source": [ "bivariate_hgf.plot_network()" ] }, { "cell_type": "code", "execution_count": 22, "id": "0f53579b-e772-45d2-ad5f-27f5b93ecc49", "metadata": {}, "outputs": [], "source": [ "bivariate_hgf.input_data(input_data=spiral_data);" ] }, { "cell_type": "code", "execution_count": 23, "id": "c24aedfa-00f3-4f8a-b437-2d599f27406b", "metadata": {}, "outputs": [], "source": [ "# get the sufficient statistics\n", "xis = jnp.apply_along_axis(\n", " MultivariateNormal().sufficient_statistics_from_observations, 1, spiral_data,\n", ")" ] }, { "cell_type": "markdown", "id": "ef848ca4-3492-4b45-81d9-14e4133f23ae", "metadata": {}, "source": [ "# System configuration" ] }, { "cell_type": "code", "execution_count": 24, "id": "98fb7497-1284-42cf-930e-5c318cbacb6b", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Last updated: Wed Jan 15 2025\n", "\n", "Python implementation: CPython\n", "Python version : 3.12.3\n", "IPython version : 8.31.0\n", "\n", "pyhgf : 0.2.1.post4.dev0+d49aafe9\n", "jax : 0.4.31\n", "jaxlib: 0.4.31\n", "\n", "matplotlib: 3.10.0\n", "jax : 0.4.31\n", "seaborn : 0.13.2\n", "IPython : 8.31.0\n", "sys : 3.12.3 | packaged by conda-forge | (main, Apr 15 2024, 18:38:13) [GCC 12.3.0]\n", "pyhgf : 0.2.1.post4.dev0+d49aafe9\n", "numpy : 1.26.0\n", "\n", "Watermark: 2.5.0\n", "\n" ] } ], "source": [ "%load_ext watermark\n", "%watermark -n -u -v -iv -w -p pyhgf,jax,jaxlib" ] } ], "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 }