{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "(gp_latent)=\n", "# Gaussian Processes: Latent Variable Implementation\n", "\n", ":::{post} June 6, 2023\n", ":tags: gaussian processes, time series\n", ":category: reference, intermediate\n", ":author: Bill Engels\n", ":::" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The {class}gp.Latent  class is a direct implementation of a Gaussian process without approximation. Given a mean and covariance function, we can place a prior on the function $f(x)$,\n", "\n", "$$\n", "f(x) \\sim \\mathcal{GP}(m(x),\\, k(x, x')) \\,.\n", "$$\n", "\n", "It is called \"Latent\" because the GP itself is included in the model as a latent variable, it is not marginalized out as is the case with {class}gp.Marginal . Unlike gp.Latent, you won't find samples from the GP posterior in the trace with gp.Marginal. This is the most direct implementation of a GP because it doesn't assume a particular likelihood function or structure in the data or in the covariance matrix." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## The .prior method\n", "\n", "The prior method adds a multivariate normal prior distribution to the PyMC model over the vector of GP function values, $\\mathbf{f}$,\n", "\n", "$$\n", "\\mathbf{f} \\sim \\text{MvNormal}(\\mathbf{m}_{x},\\, \\mathbf{K}_{xx}) \\,,\n", "$$\n", "\n", "where the vector $\\mathbf{m}_x$ and the matrix $\\mathbf{K}_{xx}$ are the mean vector and covariance matrix evaluated over the inputs $x$. By default, PyMC reparameterizes the prior on f under the hood by rotating it with the Cholesky factor of its covariance matrix. This improves sampling by reducing covariances in the posterior of the transformed random variable, v. The reparameterized model is,\n", "\n", "\n", "\\begin{aligned}\n", " \\mathbf{v} \\sim \\text{N}(0, 1)& \\\\\n", " \\mathbf{L} = \\text{Cholesky}(\\mathbf{K}_{xx})& \\\\\n", " \\mathbf{f} = \\mathbf{m}_{x} + \\mathbf{Lv} \\\\\n", "\\end{aligned}\n", "\n", "\n", "For more information on this reparameterization, see the section on [drawing values from a multivariate distribution](https://en.wikipedia.org/wiki/Multivariate_normal_distribution#Drawing_values_from_the_distribution)." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## The .conditional method\n", "\n", "The conditional method implements the predictive distribution for function values that were not part of the original data set. This distribution is,\n", "\n", "$$\n", "\\mathbf{f}_* \\mid \\mathbf{f} \\sim \\text{MvNormal} \\left(\n", " \\mathbf{m}_* + \\mathbf{K}_{*x}\\mathbf{K}_{xx}^{-1} \\mathbf{f} ,\\,\n", " \\mathbf{K}_{**} - \\mathbf{K}_{*x}\\mathbf{K}_{xx}^{-1}\\mathbf{K}_{x*} \\right)\n", "$$\n", "\n", "Using the same gp object we defined above, we can construct a random variable with this\n", "distribution by,\n", "\n", "python\n", "# vector of new X points we want to predict the function at\n", "X_star = np.linspace(0, 2, 100)[:, None]\n", "\n", "with latent_gp_model:\n", " f_star = gp.conditional(\"f_star\", X_star)\n", "" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Example 1: Regression with Student-T distributed noise\n", "\n", "The following is an example showing how to specify a simple model with a GP prior using the {class}gp.Latent class. We use a GP to generate the data so we can verify that the inference we perform is correct. Note that the likelihood is not normal, but IID Student-T. For a more efficient implementation when the likelihood is Gaussian, use {class}gp.Marginal.\n", "\n", ":::{include} ../extra_installs.md\n", ":::" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "ExecuteTime": { "end_time": "2017-08-28T05:45:33.296658Z", "start_time": "2017-08-28T05:45:32.563463Z" } }, "outputs": [], "source": [ "import arviz as az\n", "import matplotlib.pyplot as plt\n", "import numpy as np\n", "import pymc as pm" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "%config InlineBackend.figure_format = 'retina'\n", "\n", "RANDOM_SEED = 8998\n", "rng = np.random.default_rng(RANDOM_SEED)\n", "\n", "az.style.use(\"arviz-darkgrid\")" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "ExecuteTime": { "end_time": "2017-08-28T05:45:35.398938Z", "start_time": "2017-08-28T05:45:33.438323Z" }, "jupyter": { "outputs_hidden": false } }, "outputs": [ { "data": { "image/png": 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