{ "cells": [ { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "import scipy.stats as sps\n", "import matplotlib.pyplot as plt\n", "%matplotlib inline\n", "plt.rcParams.update({'figure.figsize': (10.0, 6.0), 'font.size': 18})\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Bayesian inference for Gaussian distribution\n", "\n", "\n", "Gaussian distribution parametrized by mean $\\mu$ and precision $\\lambda = \\frac{1}{\\sigma^2}$ rather than variance $\\sigma^2$\n", "$$\n", "\\DeclareMathOperator{\\NormalGamma}{NormalGamma}\n", "\\DeclareMathOperator{\\Norm}{\\mathcal{N}}\n", "\\DeclareMathOperator{\\Gam}{Gam}\n", "\\DeclareMathOperator{\\e}{exp}\n", "\\large\n", "p(x | \\mu, \\lambda) = \\Norm(x \\mid \\mu, \\lambda^{-1}) = \\frac{\\sqrt{\\lambda}}{\\sqrt{2\\pi}} \\e\\{ \\frac{-\\lambda(x - \\mu)^2}{2}\\}\n", "$$\n", "\n", "NormalGamma distribution can be used as the conjugate prior over the mean $\\mu$ and precision $\\lambda$ parameters of Gaussian distribution.\n", "\n", "$$\n", "\\large\n", "\\NormalGamma(\\mu,\\lambda|m,\\kappa,a,b) = \\Norm(\\mu|m,(\\kappa\\lambda)^{-1}) \\Gam(\\lambda|a,b)\n", "$$\n", "\n", "where gamma distribution\n", "\n", "$$\n", "\\large\n", "\\Gam(\\lambda \\mid a, b) = \\frac{1}{\\Gamma(a)} b^a \\lambda^{a - 1} \\e \\{ -b \\lambda\\}\n", "$$\n", "\n" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "a=10\n", "b=5\n", "t = np.linspace(0, 10, 1000)\n", "plt.plot(t, sps.gamma.pdf(t, a, scale=1.0/b)) #scipy toolkit uses scale=1/b instead of shape b as parameter\n", "\n", "#If used as a prior for Gaussian precision parameter, \n", "# 2a can be seen as number of priors observations and \n", "# b/a as prior observation of variance (inverse precision)" ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "def NormalGamma_pdf(mu, lmbd, m, kappa, a, b):\n", " # sps.norm.pdf takes mean and std (not variance), therefore 1.0/\n", " # sps.gamma.pdf takes shape and scale (not rate), therefore 1.0/b\n", " return sps.norm.pdf(mu, m, 1.0/np.sqrt(lmbd*kappa))* sps.gamma.pdf(lmbd, a, scale=1.0/b)\n", "\n", "def NormalGamma_rvs(m, kappa, a, b, N):\n", " # Sample from NormalGamma distribution\n", " lmbd = sps.gamma.rvs(a, scale=1.0/b, size=N)\n", " mu = sps.norm.rvs(m, 1.0/np.sqrt(lmbd*kappa), N)\n", " return mu, lmbd\n", "\n", "def NormalGamma_plot(m0, kappa0, a0, b0, limits):\n", " mu_vals, lmbd_vals = np.meshgrid(np.linspace(limits[0], limits[1], 500), np.linspace(limits[2], limits[3], 500))\n", " pdf = NormalGamma_pdf(mu_vals, lmbd_vals, m0, kappa0, a0, b0)\n", " plt.imshow(pdf, origin='lower', cmap='Greys', extent=limits)\n", " plt.xlabel('$\\mu$'); plt.ylabel('$\\lambda$')\n", "\n", "\n", "#Plot some example NormalGamma distribution\n", "m0, kappa0, a0, b0 = 0.0, 0.1, 0.5, 0.5\n", "plot_limits=[-6, 6, 0.01, 5]\n", "NormalGamma_plot(m0, kappa0, a0, b0, limits=plot_limits)\n", "\n", "# Obtain few samples from the prior distribution.\n", "mu_sampled, lmbd_sampled = NormalGamma_rvs(m0, kappa0, a0, b0, 50)\n", "plt.plot(mu_sampled, lmbd_sampled, '+'); plt.axis(plot_limits)\n", "\n", "# Each of these sample represents mean and precision. Plot the corresponding Gaussian distributions\n", "t = np.linspace(-10,10,1000) # x-axis for our plots\n", "plt.figure()\n", "plt.plot(t, sps.norm.pdf(t[:,np.newaxis], mu_sampled, 1/np.sqrt(lmbd_sampled)));" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Given $N$ observations $\\mathbf{x}=[x_1, x_2, \\dots, x_N]$ from gaussian distribution $\\Norm(x \\mid \\mu, \\lambda^{-1})$ and given prior $p(\\mu, \\lambda^{-1}) = \\NormalGamma(\\mu,\\lambda|m_0,\\kappa_0,a_0,b_0)$ the poterior distribution over the Gaussian parameters is:\n", "\n", "$$\n", "\\large\n", "p(\\mu, \\lambda^{-1}|\\mathbf{x}) = \\NormalGamma(\\mu,\\lambda|m_N,\\kappa_N,a_N,b_N)\n", "$$, \n", "\n", "where\n", "\n", "\n", "$$\n", "\\large\n", "\\begin{align}\n", "m_N &= \\frac{\\kappa_0 m_0 + N \\bar{x}} {\\kappa_0 + N} \\\\\n", "\\kappa_N &= \\kappa_0 + N \\\\\n", "a_N &= a_0 + \\frac{N}{2} \\\\\n", "b_N &= b_0 + \\frac{N}{2} ( s + \\frac{\\kappa_0 (\\bar{x} - m_0)^2}{\\kappa_0 + N} ) \\\\\n", "\\bar{x} &= \\frac{1}{N} \\sum_i x_i \\\\\n", "s &= \\frac{1}{N} \\sum_i (x_i - \\bar{x})^2\n", "\\end{align}\n", "$$\n", "\n", "Note that the prior parameters can be interpreted as follows:\n", "* $2a_0$ - prior number of observation for precision (or variance)\n", "* $b_0/a_0$ - prior variance (around $m_0$)\n", "* $\\kappa_0$ - number of prior observations for mean\n", "* $m_0$ - prior mean" ] }, { "cell_type": "code", "execution_count": 33, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "def NormalGammaPosteriorParams(m0, kappa0, a0, b0, x):\n", " # given prior parameters m0, kappa0, a0, b0 and observations x\n", " # sufficient statistics N, mean, var calculate parameters of posterior\n", " N = len(x)\n", " mean = np.mean(x)\n", " var = np.var(x)\n", "\n", " kappaN = kappa0 + N\n", " mN = (kappa0*m0 + mean*N) / kappaN;\n", " aN = a0 + 0.5*N;\n", " bN = b0 + 0.5 * N * (var + kappa0*(mean-m0)**2/(kappa0 + N))\n", " return mN, kappaN, aN, bN\n", "\n", "def NormalGammaPosteriorParams2(m0, kappa0, a0, b0, x):\n", " # alternative more practical implementation, which does not crash for N=0\n", " N = len(x)\n", " f = np.sum(x)\n", " s = np.sum(x**2)\n", "\n", " kappaN = kappa0 + N\n", " mN = (kappa0*m0 + f) / kappaN;\n", " aN = a0 + 0.5*N;\n", " bN = b0 + 0.5 * (s + kappa0 * m0**2 - kappaN * mN**2);\n", " return mN, kappaN, aN, bN\n", "\n", "\n", "# Generate observation from agiven Gaussian distribution \n", "N = 10\n", "mu = 1.0 # mean\n", "sigma = 1 # standard deviation (std)\n", "x = sps.norm.rvs(mu, sigma, N)\n", "\n", "# Given NormalGamma prior and the observation, calculate and plot posterior distibution of the Gaussian parameters\n", "mN, kappaN, aN, bN = NormalGammaPosteriorParams2(m0, kappa0, a0, b0, x)\n", "NormalGamma_plot(mN, kappaN, aN, bN, limits=plot_limits)\n", "\n", "# Obtain few samples from the posterior distribution.\n", "mu_sampled, lmbd_sampled = NormalGamma_rvs(mN, kappaN, aN, bN, 50)\n", "plt.plot(mu_sampled, lmbd_sampled, '+'); plt.axis(plot_limits)\n", "\n", "# Each of these sample represents mean and precision. Plot the corresponding Gaussian distributions\n", "pdfs_sampled = sps.norm.pdf(t[:,np.newaxis], mu_sampled, 1/np.sqrt(lmbd_sampled))\n", "plt.figure()\n", "plt.plot(t, pdfs_sampled);\n", "plt.plot(x, np.zeros_like(x), '+'); " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Predictive probability\n", "\n", "For the Gaussian with NormalGamma prior, the posterior predictive distribution is the Student's t-distribution:\n", "\n", "$$\n", "\\large\n", "\\newcommand{\\diff}{\\mathop{}\\!d}\n", "\\DeclareMathOperator{\\St}{\\mathcal{St}}\n", "\\begin{align}\n", "p(x' \\mid \\mathbf{x}) \n", "&= \\int_{-\\infty}^{\\infty} p(x'|\\mu, \\lambda) p(\\mu, \\lambda \\mid \\mathbf{x}) \\diff \\mu \\diff \\lambda \\\\\n", "&= \\int_{-\\infty}^{\\infty} \\Norm(x'|\\mu, \\lambda) \\NormalGamma(\\mu,\\lambda|m_0,\\kappa_0,a_0,b_0) \\diff \\mu \\diff \\lambda \\\\ \n", "&= \\St(x' \\mid m_N, 2a_N, \\frac{a_N \\kappa_N}{b_N(\\kappa_N + 1)} )\n", "\\end{align}\n", "$$\n", "\n", "where:\n", "\n", "$$\n", "\\large\n", "\\St(x' \\mid \\mu, \\nu, \\gamma) = \\frac{\\Gamma(\\frac{\\nu}{2} + \\frac{1}{2})}{\\Gamma(\\frac{\\nu}{2})} \\Big( \\frac{\\gamma}{\\pi \\nu} \\Big)^{\\frac{1}{2}} \\Big[ 1 + \\frac{\\gamma (x - \\mu)^2}{\\nu} \\Big]^{-\\frac{\\nu}{2} - \\frac{1}{2}}\n", "$$\n" ] }, { "cell_type": "code", "execution_count": 34, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Plot the distribution from which the observations were generated\n", "plt.plot(t, sps.norm.pdf(t, mu, sigma), 'r',lw=3)\n", "\n", "# Plot predictive distribution, which depends on the prior and the observations \n", "# (i.e. depends on the posterior distribution over the parameters \\mu and \\lambda)\n", "plt.plot(t, sps.t.pdf(t, loc=mN, df=2*aN, scale=np.sqrt(bN*(kappaN+1)/aN/kappaN)), 'k',lw=1)\n", "plt.plot(x,np.zeros_like(x), 'r+');\n", "\n", "# Take all the sampled Gaussian distributions from the previous figure, average them and plot the resulting distribution\n", "# For large number of samples, this should be good approximation to the predictive distribution \n", "plt.plot(t, pdfs_sampled.mean(axis=1));" ] }, { "cell_type": "code", "execution_count": 35, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 35, "metadata": {}, "output_type": "execute_result" }, { "data": { 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Plot the distribution from which the observations were generated\n", "plt.plot(t, np.log(sps.norm.pdf(t, mu, sigma)), 'r',lw=3)\n", "\n", "# Plot predictive distribution, which depends on the prior and the observations \n", "# (i.e. depends on the posterior distribution over the parameters \\mu and \\lambda)\n", "plt.plot(t, np.log(sps.t.pdf(t, loc=mN, df=2*aN, scale=np.sqrt(bN*(kappaN+1)/aN/kappaN))), 'k',lw=1)\n", "\n", "# Take all the sampled Gaussian distributions from the previous figure, average them and plot the resulting distribution\n", "# For large number of samples, this should be good approximation to the predictive distribution \n", "plt.plot(t, np.log(pdfs_sampled.mean(axis=1)))" ] } ], "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": "3.9.13" } }, "nbformat": 4, "nbformat_minor": 2 }