{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Marginalized Gaussian Mixture Model\n", "\n", "Author: [Austin Rochford](http://austinrochford.com)" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "%matplotlib inline" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "from matplotlib import pyplot as plt\n", "import numpy as np\n", "import pymc3 as pm\n", "import seaborn as sns" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "SEED = 383561\n", "\n", "np.random.seed(SEED) # from random.org, for reproducibility" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Gaussian mixtures are a flexible class of models for data that exhibits subpopulation heterogeneity. A toy example of such a data set is shown below." ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "N = 1000\n", "\n", "W = np.array([0.35, 0.4, 0.25])\n", "\n", "MU = np.array([0., 2., 5.])\n", "SIGMA = np.array([0.5, 0.5, 1.])" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "component = np.random.choice(MU.size, size=N, p=W)\n", "x = np.random.normal(MU[component], SIGMA[component], size=N)" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/home/junpenglao/anaconda3/lib/python3.6/site-packages/matplotlib/axes/_axes.py:6521: MatplotlibDeprecationWarning: \n", "The 'normed' kwarg was deprecated in Matplotlib 2.1 and will be removed in 3.1. Use 'density' instead.\n", " alternative=\"'density'\", removal=\"3.1\")\n" ] }, { "data": { "image/png": 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X1c7ZhWypqpck2Zfk9OaMDgDbywWPtLv7XFXdluT+JDuS3N3dJ6vqjiQnuvtoko8m+dWqOpXk6ayEPUleneSOqjqX5NtJ3tndT1+KPwgAXO6mnB5Pdx9LcmzVstvnHv9Jkressd8nknziImcEAOKOaAAwDNEGgEFMOj2+HbkilpFt9N9fVxbD1uZIGwAGIdoAMAinx4Hv8WOhy58fnYzNkTYADEK0AWAQog0AgxBtABiEaAPAIEQbAAYh2gAwCNEGgEGINgAMQrQBYBCiDQCDEG0AGIRoA8AgRBsABiHaADAI0QaAQYg2AAxCtAFgEKINAIMQbQAYxBWLHgCArW/P4fvWvc8Td958CSbZ3hxpA8AgRBsABiHaADAI0QaAQYg2AAzC1eMAXBIbueI8cdX5c3GkDQCDEG0AGIRoA8AgRBsABiHaADAI0QaAQWyLX/na6K8dAMBW4kgbAAYxKdpVtb+qHquqU1V1eI31V1XVb87Wf7aq9syte+9s+WNV9YbNGx0AtpcLnh6vqh1J7kryuiTLSY5X1dHufmRus3ck+Vp3/1hVHUzywSRvrarrkxxM8rIkfz7J71XVj3f3tzf7DwIA6zXaXdumHGnfmORUd5/u7meT3JPkwKptDiT5ldnje5O8tqpqtvye7n6mu7+c5NTs9QCAdZoS7WuTPDX3fHm2bM1tuvtckq8n+dGJ+wIAE0y5erzWWNYTt5myb6rqUJJDs6fPVNUfTZiLC7smyR8veojLhPdyc3k/N89l917WBxf2rSe/l5dgxhdP2WhKtJeTXDf3fFeSM+fZZrmqrkjyQ0menrhvuvtIkiNJUlUnuntpyvA8N+/l5vFebi7v5+bxXm6eEd7LKafHjyfZV1V7q+rKrFxYdnTVNkeT3Dp7/OYkn+runi0/OLu6fG+SfUn+cHNGB4Dt5YJH2t19rqpuS3J/kh1J7u7uk1V1R5IT3X00yUeT/GpVncrKEfbB2b4nq+rjSR5Jci7Ju1w5DgAbM+mOaN19LMmxVctun3v8J0necp59P5DkA+uY6cg6tuW5eS83j/dyc3k/N4/3cvNs+feyVs5iAwBbnduYAsAgtmS0q+rDVfVfq+oLVfXvq+qHFz3TaC5061mmqarrqurTVfVoVZ2sqncveqbRVdWOqnq4qn5n0bOMrKp+uKrunf2/8tGq+quLnmlUVfWPZv99/1FV/UZVvWDRM53Plox2kgeS/GR3/1SS/5bkvQueZyhzt559Y5Lrk7xtdktZ1u9ckn/c3S9N8jNJ3uW9vGjvTvLoooe4DPyrJP+xu38iyV+K93RDquraJP8gyVJ3/2RWLrg+uNipzm9LRru7f3d2Z7UkeTArv9/NdFNuPcsE3f2V7v7c7PH/ycr/GN3Vb4OqaleSm5P80qJnGVlV/WCSV2flN3fS3c929/9e7FRDuyLJn5vdZ+QHssb9RLaKLRntVf5ukk8ueojBuH3sJTD79Lobknx2sZMM7V8m+adJvrPoQQb3kiRnk/zy7EcNv1RVL1z0UCPq7v+R5F8keTLJV5J8vbt/d7FTnd/Col1Vvzf7+cHqrwNz27wvK6cnP7aoOQc16faxTFdVL0ryiST/sLu/seh5RlRVP5vkq9390KJnuQxckeQvJ/m33X1Dkv+bxLUrG1BVV2flTOTerHwa5Qur6u2Lner8Jv2e9qXQ3Tc91/qqujXJzyZ5bfu9tPWadPtYpqmqP5uVYH+su3970fMM7FVJbqmqv5XkBUl+sKp+rbu37P8gt7DlJMvd/d2zPvdGtDfqpiRf7u6zSVJVv53kryX5tYVOdR5b8vR4Ve1P8vNJbunuby56ngFNufUsE8w+YvajSR7t7l9c9Dwj6+73dveu7t6TlX8nPyXYG9Pd/zPJU1X1F2eLXpuVO0+yfk8m+Zmq+oHZf++vzRa+qG9hR9oX8K+TXJXkgZX3MA929zsXO9I4znfr2QWPNapXJfnbSb5YVZ+fLftns7sEwiL9/SQfm/3F/HSSv7PgeYbU3Z+tqnuTfC4rP459OFv4zmjuiAYAg9iSp8cBgD9NtAFgEKINAIMQbQAYhGgDwCBEGwAGIdoAMAjRBoBB/H/rmbb/3wiXVQAAAABJRU5ErkJggg==\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(figsize=(8, 6))\n", "\n", "ax.hist(x, bins=30, normed=True, lw=0);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "A natural parameterization of the Gaussian mixture model is as the [latent variable model](https://en.wikipedia.org/wiki/Latent_variable_model)\n", "\n", "$$\n", "\\begin{align*}\n", "\\mu_1, \\ldots, \\mu_K\n", " & \\sim N(0, \\sigma^2) \\\\\n", "\\tau_1, \\ldots, \\tau_K\n", " & \\sim \\textrm{Gamma}(a, b) \\\\\n", "\\boldsymbol{w}\n", " & \\sim \\textrm{Dir}(\\boldsymbol{\\alpha}) \\\\\n", "z\\ |\\ \\boldsymbol{w}\n", " & \\sim \\textrm{Cat}(\\boldsymbol{w}) \\\\\n", "x\\ |\\ z\n", " & \\sim N(\\mu_z, \\tau^{-1}_i).\n", "\\end{align*}\n", "$$\n", "\n", "An implementation of this parameterization in PyMC3 is available [here](gaussian_mixture_model.ipynb). A drawback of this parameterization is that is posterior relies on sampling the discrete latent variable $z$. This reliance can cause slow mixing and ineffective exploration of the tails of the distribution.\n", "\n", "An alternative, equivalent parameterization that addresses these problems is to marginalize over $z$. The marginalized model is\n", "\n", "$$\n", "\\begin{align*}\n", "\\mu_1, \\ldots, \\mu_K\n", " & \\sim N(0, \\sigma^2) \\\\\n", "\\tau_1, \\ldots, \\tau_K\n", " & \\sim \\textrm{Gamma}(a, b) \\\\\n", "\\boldsymbol{w}\n", " & \\sim \\textrm{Dir}(\\boldsymbol{\\alpha}) \\\\\n", "f(x\\ |\\ \\boldsymbol{w})\n", " & = \\sum_{i = 1}^K w_i\\ N(x\\ |\\ \\mu_i, \\tau^{-1}_i),\n", "\\end{align*}\n", "$$\n", "\n", "where\n", "\n", "$$N(x\\ |\\ \\mu, \\sigma^2) = \\frac{1}{\\sqrt{2 \\pi} \\sigma} \\exp\\left(-\\frac{1}{2 \\sigma^2} (x - \\mu)^2\\right)$$\n", "\n", "is the probability density function of the normal distribution.\n", "\n", "Marginalizing $z$ out of the model generally leads to faster mixing and better exploration of the tails of the posterior distribution. Marginalization over discrete parameters is a common trick in the [Stan](http://mc-stan.org/) community, since Stan does not support sampling from discrete distributions. For further details on marginalization and several worked examples, see the [_Stan User's Guide and Reference Manual_](http://www.uvm.edu/~bbeckage/Teaching/DataAnalysis/Manuals/stan-reference-2.8.0.pdf).\n", "\n", "PyMC3 supports marginalized Gaussian mixture models through its `NormalMixture` class. (It also supports marginalized general mixture models through its `Mixture` class.) Below we specify and fit a marginalized Gaussian mixture model to this data in PyMC3." ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [], "source": [ "with pm.Model() as model:\n", " w = pm.Dirichlet('w', np.ones_like(W))\n", " \n", " mu = pm.Normal('mu', 0., 10., shape=W.size)\n", " tau = pm.Gamma('tau', 1., 1., shape=W.size)\n", " \n", " x_obs = pm.NormalMixture('x_obs', w, mu, tau=tau, observed=x)" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "Auto-assigning NUTS sampler...\n", "Initializing NUTS using jitter+adapt_diag...\n", "Multiprocess sampling (2 chains in 2 jobs)\n", "NUTS: [tau, mu, w]\n", "Sampling 2 chains: 100%|██████████| 12000/12000 [00:27<00:00, 432.06draws/s]\n", "The gelman-rubin statistic is larger than 1.4 for some parameters. The sampler did not converge.\n", "The estimated number of effective samples is smaller than 200 for some parameters.\n" ] } ], "source": [ "with model:\n", " trace = pm.sample(5000, n_init=10000, tune=1000, random_seed=SEED)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We see in the following plot that the posterior distribution on the weights and the component means has captured the true value quite well." ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "pm.traceplot(trace, var_names=['w', 'mu']);" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "pm.plot_posterior(trace, var_names=['w', 'mu']);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can also sample from the model's posterior predictive distribution, as follows." ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "100%|██████████| 5000/5000 [02:09<00:00, 38.54it/s]\n" ] } ], "source": [ "with model:\n", " ppc_trace = pm.sample_posterior_predictive(trace, 5000, random_seed=SEED)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We see that the posterior predictive samples have a distribution quite close to that of the observed data." ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(figsize=(8, 6))\n", "\n", "ax.hist(ppc_trace['x_obs'], bins=30, density=True,\n", " histtype='step', lw=2,\n", " color=['.5'] * ppc_trace['x_obs'].shape[1], \n", " alpha=.05,\n", " label='Posterior predictive distribution');\n", "\n", "ax.hist(x, bins=30, density=True,\n", " histtype='step', lw=2, \n", " label='Observed data');\n", "\n", "ax.legend(loc=1);" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "pymc3 3.8\n", "arviz 0.8.3\n", "numpy 1.17.5\n", "last updated: Thu Jun 11 2020 \n", "\n", "CPython 3.8.2\n", "IPython 7.11.0\n", "watermark 2.0.2\n" ] } ], "source": [ "%load_ext watermark\n", "%watermark -n -u -v -iv -w" ] } ], "metadata": { "anaconda-cloud": {}, "kernelspec": { "display_name": "Python 3", "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": "3.8.2" } }, "nbformat": 4, "nbformat_minor": 4 }