{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Integrating out the noise in Gaussian likelihood problems\n", "\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "A property of Gaussian likelihoods and certain priors is that the joint posterior distribution $p(\\theta,\\sigma)$ can be analytically integrated with respect to $\\sigma$ to yield the marginal distribution $p(\\theta|X)$ up to a proportion,\n", "\n", "$\\begin{align} p(\\theta|X) &= \\int_{0}^{\\infty} p(\\theta, \\sigma|X) \\mathrm{d}\\sigma\\\\ &\\propto \\int_{0}^{\\infty} p(X|\\theta, \\sigma) p(\\theta, \\sigma) \\mathrm{d}\\sigma,\\end{align}$\n", "\n", "\n", "For example, for Gaussian log-likelihood models where we assume a prior, $\\sigma\\sim U(a, b),$ then the marginal posterior is given by,\n", "\n", "$p(\\theta|X) \\propto \\frac{\\pi ^{-n/2} \\text{sse}(\\theta)^{\\frac{1}{2}-\\frac{n}{2}} \\left[\\Gamma\n", " \\left(\\frac{n-1}{2},\\frac{\\text{sse}(\\theta)}{2 b^2}\\right)-\\Gamma\n", " \\left(\\frac{n-1}{2},\\frac{\\text{sse}(\\theta)}{2 a^2}\\right)\\right]}{2 \\sqrt{2} (b - a)}$,\n", " \n", "where $\\text{sse}(\\theta) = \\sum_{i=1}^n(f_i(\\theta) - y_i)^2,$ is the sum of square errors and $\\Gamma(u,v)$ is the upper incomplete gamma function.\n", "\n", "In this notebook, we illustrate how using the posterior geometry where the noise parameter $\\sigma$ is integrated out can lead to faster convergence of the posterior distribution than the circumstance where $\\sigma$ is estimated.\n", "\n", "An issue with using the integrated log-likelihood is that the estimated model is no longer generative and so posterior predictive checking is harder. Whether this is more than compensated for by the speed up of sampling from a posterior of lower dimensionality is problem specific although unlikely to considerably speed up sampling." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Single output problem - logistic model\n", "Here we illustrate how a posterior distribution for the logistic model growth rate and carrying capacity parameters can be estimated using both full posterior and the marginal posterior geometries." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [ { "data": { "image/png": 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TlG6Na5RvcBERcYy+BhMRkSpn/MIdfLcpjTrRodwxeRVRoYGc0SLBtzF7H8x9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\nMcbEAPcDQ4DBwP0Hw5QnUDA6fYOBXGvtdmttPfA2MM7NNYm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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from __future__ import print_function\n", "import pints\n", "import pints.toy as toy\n", "import pints.plot\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "import scipy.stats\n", "\n", "# Load a forward model\n", "model = toy.LogisticModel()\n", "\n", "# Create some toy data\n", "real_parameters = [0.015, 500]\n", "times = np.linspace(0, 1000, 100)\n", "signal_values = model.simulate(real_parameters, times)\n", "\n", "# Add noise\n", "nu = 2\n", "sigma = 10\n", "observed_values_norm = signal_values + scipy.stats.norm.rvs(loc=0, scale=sigma, size=signal_values.shape)\n", "\n", "plt.figure(figsize=(14, 6))\n", "plt.xlabel('Time')\n", "plt.ylabel('Values')\n", "plt.plot(times, observed_values_norm)\n", "plt.plot(times, signal_values)\n", "plt.show()\n", "\n", "# Create an object with links to the model and time series\n", "problem = pints.SingleOutputProblem(model, times, observed_values_norm)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Fit the model using a Gaussian likelihood where we estimate the noise parameter $\\sigma$." ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Running...\n", "Done!\n", "R-hat:\n", "[1.0031570916908572, 1.0000710562065203, 1.003106241856806]\n" ] }, { "data": { "image/png": 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WioDS2C0m0uKt5DenUqecnFCtnccHNUFlITslgVjvfE559tIUV8B0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\nplI9p40E65qjHD6fJGRWk626C+n7VwA88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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Create a log-likelihood function (adds an extra parameter!)\n", "log_likelihood = pints.GaussianLogLikelihood(problem)\n", "\n", "# Create a uniform prior over both the parameters and the new noise variable\n", "log_prior = pints.UniformLogPrior(\n", " [0.01, 400, 1],\n", " [0.02, 600, 100]\n", ")\n", "\n", "# Create a posterior log-likelihood (log(likelihood * prior))\n", "log_posterior = pints.LogPosterior(log_likelihood, log_prior)\n", "\n", "# Choose starting points for 3 mcmc chains\n", "real_parameters1 = np.array(real_parameters + [sigma])\n", "xs = [\n", " real_parameters1 * 1.1,\n", " real_parameters1 * 0.9,\n", " real_parameters1 * 1.15,\n", "]\n", "\n", "\n", "# Create mcmc routine\n", "mcmc = pints.MCMCController(log_posterior, 3, xs, method=pints.AdaptiveCovarianceMCMC)\n", "\n", "# Add stopping criterion\n", "mcmc.set_max_iterations(4000)\n", "\n", "# Start adapting after 1000 iterations\n", "mcmc.set_initial_phase_iterations(1000)\n", "\n", "# Disable logging mode\n", "mcmc.set_log_to_screen(False)\n", "\n", "# Run!\n", "print('Running...')\n", "chains = mcmc.run()\n", "print('Done!')\n", "\n", "# Show traces and histograms\n", "pints.plot.trace(chains)\n", "\n", "# Discard warm up\n", "chains = chains[:, 2000:, :]\n", "chains_gaussian = chains\n", "\n", "# Check convergence using rhat criterion\n", "print('R-hat:')\n", "print(pints.rhat_all_params(chains))\n", "\n", "# Show graphs\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now fitting the same model using a log-likelihood where the noise parameter $\\sigma$ has been integrated out. Here the convergence to the stationary distribution is quicker." ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Running...\n", "Done!\n", "R-hat:\n", "[1.0028182166705306, 1.0014030445362068]\n" ] }, { "data": { "image/png": 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zLSsBSx8Xrm3eALFWMzUtXoormgEIqAY+Ov1XvjLpK2TGZfb/+o5sBHcDzPpa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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Create a log-likelihood function with lower and upper values on uniform prior for sigma\n", "lower = 1\n", "upper = 100\n", "log_likelihood = pints.GaussianIntegratedUniformLogLikelihood(problem, lower, upper)\n", "\n", "# Create a uniform prior over both the parameters and the new noise variable\n", "log_prior = pints.UniformLogPrior(\n", " [0.01, 400],\n", " [0.02, 600]\n", ")\n", "\n", "# Create a posterior log-likelihood (log(likelihood * prior))\n", "log_posterior = pints.LogPosterior(log_likelihood, log_prior)\n", "\n", "# Choose starting points for 3 mcmc chains\n", "real_parameters = np.array(real_parameters)\n", "xs = [\n", " real_parameters * 1.1,\n", " real_parameters * 0.9,\n", " real_parameters * 1.0,\n", "]\n", "\n", "# Create mcmc routine\n", "mcmc = pints.MCMCController(log_posterior, 3, xs, method=pints.AdaptiveCovarianceMCMC)\n", "\n", "# Add stopping criterion\n", "mcmc.set_max_iterations(4000)\n", "\n", "# Start adapting after 1000 iterations\n", "mcmc.set_initial_phase_iterations(250)\n", "\n", "# Disable logging mode\n", "mcmc.set_log_to_screen(False)\n", "\n", "# Run!\n", "print('Running...')\n", "chains = mcmc.run()\n", "print('Done!')\n", "\n", "# Show traces and histograms\n", "pints.plot.trace(chains)\n", "\n", "# Discard warm up\n", "chains = chains[:, 2000:, :]\n", "chains_integrated = chains\n", "\n", "# Check convergence using rhat criterion\n", "print('R-hat:')\n", "print(pints.rhat_all_params(chains))\n", "\n", "# Show graphs\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Comparing the marginal distributions for $r$ and $\\kappa$ for the two models, they look similar." ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "image/png": 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gucD2wH8keVZVPTLQwCVJneCZPEmSJtf+wC1VdfsYdRYAZ1bVQ1X1fWA5sM9A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\nubm5N98vjIyM7Dp58qTk0KFDsiVLlvS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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "chains_gaussian1 = np.vstack(chains_gaussian)\n", "chains_integrated1 = np.vstack(chains_integrated)\n", "\n", "# plot\n", "plt.figure(figsize=(15, 6)) \n", "plt.subplot(1, 2, 1)\n", "bins = np.linspace(0.0147, 0.0153, 20)\n", "plt.hist(chains_gaussian1[:, 0], bins, alpha=0.5, color=\"blue\", label='Estimate sigma')\n", "plt.hist(chains_integrated1[:, 0], bins, alpha=0.5, color=\"orange\", label='Integrate out sigma')\n", "plt.title(\"Growth rate\")\n", "\n", "plt.subplot(1, 2, 2)\n", "bins = np.linspace(490, 510, 20)\n", "plt.hist(chains_gaussian1[:, 1], bins, alpha=0.5, color=\"blue\", label='Estimate sigma')\n", "plt.hist(chains_integrated1[:, 1], bins, alpha=0.5, color=\"orange\", label='Integrate out sigma')\n", "plt.title(\"Carrying capacity\")\n", "\n", "plt.rc('font', size=14) \n", "plt.legend(loc=\"upper left\", bbox_to_anchor=(0.5, -0.1))\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Multiple output problem - Fitzhugh-Nagumo model\n", "\n", "Now we illustrate how to fit a Gaussian model to a problem with two outputs, where the noise has been integrated out of the likelihood." ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "image/png": 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lhCtM5YaC1Yr5s6+UGwgFfBhPhhEJ+oyUwl6wF0ykMBHEMFCaKioNxVj3UpaC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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Create a model\n", "model = pints.toy.FitzhughNagumoModel()\n", "\n", "# Run a simulation\n", "parameters = [0.1, 0.5, 3]\n", "times = np.linspace(0, 20, 200)\n", "values = model.simulate(parameters, times)\n", "\n", "# First add some noise\n", "sigma = 0.5\n", "noisy = values + np.random.normal(0, sigma, values.shape)\n", "\n", "# Plot the results\n", "plt.figure(figsize=(14, 6))\n", "plt.xlabel('Time')\n", "plt.ylabel('Noisy values')\n", "plt.plot(times, noisy)\n", "plt.show()\n", "\n", "# Define a multiple output problem\n", "problem = pints.MultiOutputProblem(model, times, noisy)" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Running...\n", "Done!\n", "R-hat:\n", "[1.0064661728563609, 1.0041313359207644, 1.0044965564990895, 0.99996311207891364, 1.0038921640560248]\n" ] }, { "data": { "image/png": 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N2zZCrHP09nEzsZanCtOZrL5xoJPMjIvY0xXj6rOns7p1NW2xNj5Zcyb1My/i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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Create a log-likelihood function (adds an extra parameter!)\n", "log_likelihood = pints.GaussianLogLikelihood(problem)\n", "\n", "# Create a uniform prior over both the parameters and the new noise variable\n", "log_prior = pints.UniformLogPrior(\n", " [0, 0, 0, 0, 0],\n", " [10, 10, 10, 20, 20]\n", ")\n", "\n", "# Create a posterior log-likelihood (log(likelihood * prior))\n", "log_posterior = pints.LogPosterior(log_likelihood, log_prior)\n", "\n", "# Choose starting points for 3 mcmc chains\n", "real_parameters1 = np.array(parameters + [sigma, sigma])\n", "xs = [\n", " real_parameters1 * 1.1,\n", " real_parameters1 * 0.9,\n", " real_parameters1 * 1.15,\n", "]\n", "\n", "# Create mcmc routine\n", "mcmc = pints.MCMCController(log_posterior, 3, xs, method=pints.AdaptiveCovarianceMCMC)\n", "\n", "# Add stopping criterion\n", "mcmc.set_max_iterations(4000)\n", "\n", "# Start adapting after 1000 iterations\n", "mcmc.set_initial_phase_iterations(1000)\n", "\n", "# Disable logging mode\n", "mcmc.set_log_to_screen(False)\n", "\n", "# Run!\n", "print('Running...')\n", "chains = mcmc.run()\n", "print('Done!')\n", "\n", "# Show traces and histograms\n", "pints.plot.trace(chains)\n", "\n", "# Discard warm up\n", "chains = chains[:, 2000:, :]\n", "chains_gaussian = chains\n", "\n", "# Check convergence using rhat criterion\n", "print('R-hat:')\n", "print(pints.rhat_all_params(chains))\n", "chains_full = chains\n", "\n", "# Show graphs\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now estimating the same model where the two noise parameters are integrated out of the posterior. Again, the convergence rate tends to be faster and we see better chain mixing although this varies from run to run." ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Running...\n", "Done!\n", "R-hat:\n", "[1.0023996153709664, 1.0004106547711924, 1.0001074863452903]\n" ] }, { "data": { "image/png": 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RsGF/F4e7wkOXoN+yDerfgtZt/dtu3a9g58vHR6aBYDBcCfGBLWBzwHcAAF3qqWVDpWzn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\nsO9O0ouvASBbDK1Eq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ls9M8tTPfp2PlJ3uxDQm/wZK8v9rrbCRRnwMvxw59e5evE5XEbp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\ni6aKOcQn28f0x5MMB3ntts2TVFBpeRpPQzzIdS/+g1JAq6ILKMu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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Create a log-likelihood function (assumed U(0, 20) priors on both sigmas)\n", "log_likelihood = pints.GaussianIntegratedUniformLogLikelihood(problem, 0, 20)\n", "\n", "# Create a uniform prior over both the parameters and the new noise variable\n", "log_prior = pints.UniformLogPrior(\n", " [0, 0, 0],\n", " [10, 10, 10]\n", ")\n", "\n", "# Create a posterior log-likelihood (log(likelihood * prior))\n", "log_posterior = pints.LogPosterior(log_likelihood, log_prior)\n", "\n", "# Choose starting points for 3 mcmc chains\n", "real_parameters1 = np.array(parameters)\n", "xs = [\n", " real_parameters1 * 1.1,\n", " real_parameters1 * 0.9,\n", " real_parameters1 * 1.15,\n", "]\n", "\n", "# Create mcmc routine\n", "mcmc = pints.MCMCController(log_posterior, 3, xs, method=pints.AdaptiveCovarianceMCMC)\n", "\n", "# Add stopping criterion\n", "mcmc.set_max_iterations(4000)\n", "\n", "# Start adapting after 1000 iterations\n", "mcmc.set_initial_phase_iterations(1000)\n", "\n", "# Disable logging mode\n", "mcmc.set_log_to_screen(False)\n", "\n", "# Run!\n", "print('Running...')\n", "chains = mcmc.run()\n", "print('Done!')\n", "\n", "# Show traces and histograms\n", "pints.plot.trace(chains)\n", "\n", "# Discard warm up\n", "chains = chains[:, 2000:, :]\n", "chains_gaussian = chains\n", "\n", "# Check convergence using rhat criterion\n", "print('R-hat:')\n", "print(pints.rhat_all_params(chains))\n", "chains_marginal=chains\n", "\n", "# Show graphs\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Comparing the effective sample size between the posterior geometry where we sample from the full posterior versus the marginal version we see that we have much larger effective sample sizes using the marginalised density." ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Effective sample size of model parameters for full posterior: [347.53874375248461, 247.12936497020999]\n", "Effective sample size of model parameters for marginal posterior: [488.53736925661275, 488.66809520505473]\n" ] } ], "source": [ "full = pints.effective_sample_size(np.vstack(chains_full))\n", "marginal = pints.effective_sample_size(np.vstack(chains_marginal))\n", "print('Effective sample size of model parameters for full posterior: ' + str(full[0:2]))\n", "print('Effective sample size of model parameters for marginal posterior: ' + str(marginal[0:2]))" ] } ], "metadata": { "kernelspec": { "display_name": "Python 2", "language": "python", "name": "python2" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 2 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython2", "version": "2.7.14" } }, "nbformat": 4, "nbformat_minor": 2 }