{ "cells": [ { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": true }, "outputs": [], "source": [ "import numpy as np\n", "import scipy.stats as sps\n", "import matplotlib.pyplot as plt\n", "from scipy.misc import logsumexp\n", "from scipy.special import digamma\n", "%matplotlib inline\n", "#%matplotlib qt5\n", "plt.rcParams.update({'figure.figsize': (10.0, 8.0), 'font.size': 18})" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "First, We just handcraft some GMM, generate data from it and ML train GMM using standard EM algorithm as a contrastive system" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "data": { "image/png": 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nNpsxPT0NILzahCiEEMjKysLk5KTz90G0WgxvREQU8sxmM7RaLYDwDG8AYDQa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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "#Handcraft some GMM parameter \n", "mus = [-4.0, 0.0, 4.0, 5]\n", "sigmas = [1.0, 1.4, 1.2, 1]\n", "pis = [0.1, 0.4, 0.2, 0.3]\n", "t = np.linspace(-10,10,1000)\n", "true_GMM_pdf = sps.norm.pdf(t[:,np.newaxis], mus, sigmas).dot(pis)\n", "\n", "# Generate N datapoints from this GMM\n", "N = 100\n", "Nc = sps.multinomial.rvs(N, pis) # Draw observation counts for each component from multinomial distribution\n", "x = sps.norm.rvs(np.repeat(mus, Nc), np.repeat(sigmas, Nc))\n", "np.random.shuffle(x)\n", "\n", "#Choose some initial parameters\n", "C = 6 # number of GMM components \n", "mus = x[:C] # we choose few first observations as the initial means\n", "sigmas = np.repeat(np.std(x), C) # sigma for all components is set to std of the the training data\n", "pis = np.ones(C)/C\n", "\n", "# Run several iteration of EM algorithm for ML GMM training\n", "for _ in range(1000):\n", " #E-step\n", " log_p_xz = sps.norm.logpdf(x[:,np.newaxis], mus, sigmas) + np.log(pis)\n", " gammas = np.exp(log_p_xz - logsumexp(log_p_xz, axis=1, keepdims=True))\n", "\n", " #M-step\n", " Nc = gammas.sum(axis=0)\n", " mus = x.dot(gammas) / Nc\n", " sigmas = np.sqrt((x**2).dot(gammas) / Nc - mus**2) # we use std, not variance!\n", " pis = Nc / Nc.sum()\n", " \n", "# Plot the true GMM distribution and ML estimated GMM distribution\n", "EM_GMM_pdf = sps.norm.pdf(t[:,np.newaxis], mus, sigmas).dot(pis)\n", "plt.plot(t, true_GMM_pdf, color='gray');\n", "plt.plot(t, EM_GMM_pdf, 'k');\n", "plt.plot(x, np.zeros_like(x), '+k');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Gibbs Sampling" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "# parameters of NormalGamma prior over means and precisiona\n", "m0, kappa0, a0, b0=[0.0, 0.05, 0.05, 0.05] \n", "alpha0=np.ones(C)\n", "\n", "# Lets initialize latent variable z using the responsibilities gammas from EM algorithm\n", "# Random initialization would be fine, but we would need some burn-in Gibbs Sampling itterations\n", "# For convenience, we use one-hot encoding for z\n", "z = np.zeros((len(x), C))\n", "z[np.arange(len(x)), np.argmax(gammas, axis=1)] = 1\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 GMMParamsPosteriorParams(alpha0, m0, kappa0, a0, b0, x, z):\n", " # Function estimates parameters of posterior distributions of GMM parameters given:\n", " # - priors distributions (Dirichlet, NormalGamma)\n", " # - observations 'x'\n", " # - assignments of frames to gaussians 'z'\n", " # Input:\n", " # alpha0 (C-dim. vector) - parameters of Dirichlet prior for GMM weights\n", " # m0, kappa0, a0, b0 (4 scalars) - parameters of NormalGamma prior for Gaussian component params\n", " # x (N-dim. vector) - vector of observations\n", " # z (NxC matrix) - one-hot encodings assigning observations to Gaussian components\n", " # Output\n", " # alphaN (C-dim. vector) - parameters of Dirichlet posterior for GMM weights\n", " # mN, kappaN, aN, bN (4 C-dim. vectors) - parameters of NormalGamma posteriors for all GMM components\n", " #\n", " # We use an alternative formulas for calculating the NormalGamma posteriors!!!\n", " # (see function NormalGammaPosteriorParams2 from bayesian_inference_for_gaussian.ipynb)\n", " N = z.sum(axis=0)\n", " f = x.dot(z)\n", " s = (x**2).dot(z)\n", " alphaN = alpha0 + 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 alphaN, mN, kappaN, aN, bN\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "To simulate burn-in, one can re-run the following cell to \"reset\" the expected_pdf" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "image/png": 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XnuPSpWncRpVkpgO/5THmzPI3gi0uRDXPvTjGh7s7CHc+xtTUa4v3BtiT3UOH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\ny/2Oj5VkmfETD/LYZ3+Py1uv8cL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QdJkRwwasjFNyNfLsVAy7dxVTSuNtosHhYB3Pryth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\nDRGKnhrIVcg+NsGudBc7LhfJAl95xZj5+ntfIiLrKbetx1mOoikJbDeFOG5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k7Meu0rI8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\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ktpYd5cnDdXxncRJy6bW/lk51nGJGyIxPfbxfBoLjEmivrrhqu3l4CK3vhNdy2tJoSt9v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\n/RX1KO6v0nbAc9uaNWt49NFHT0kvXbs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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "#Iterations of Gibbs sampling\n", "iters = 1000\n", "expected_pdf = 0\n", "for ii in range(iters):\n", " #Given z, calculate parameters of posterior distributions for all GMM parameters\n", " alphaN, mN, kappaN, aN, bN = GMMParamsPosteriorParams(alpha0, m0, kappa0, a0, b0, x, z)\n", "\n", " #Given z, sample GMM parameters from NormalGamma posteriors \n", " mus, lmbds = NormalGamma_rvs(mN, kappaN, aN, bN, C)\n", " \n", " #Given z, sample GMM weights from Dirichlet posteriors\n", " pis = sps.dirichlet.rvs(alphaN)\n", "\n", " #Given GMM parameters, sample z\n", " log_p_xz = sps.norm.logpdf(x[:,np.newaxis], mus, sigmas) + np.log(pis)\n", " gammas = np.exp(log_p_xz - logsumexp(log_p_xz, axis=1, keepdims=True))\n", " z = np.vstack([sps.multinomial.rvs(1, gamma_n) for gamma_n in gammas])\n", "\n", " #We need to average PDFs of the \"sampled GMMs\" in order to evaluate the empiricl posterior predictive distribution\n", " pdf = sps.norm.pdf(t[:,np.newaxis], mus, 1./np.sqrt(lmbds)).dot(pis.T)\n", " expected_pdf += pdf\n", " if ii % 10 == 0: # plot only every 10-th sampled GMM\n", " plt.plot(t, pdf, lw=0.5)\n", "\n", "#plot the true GMM, ML EM trained GMM and the empiricl posterior predictive distribution\n", "plt.plot(t, true_GMM_pdf, 'b', lw=2);\n", "plt.plot(t, EM_GMM_pdf, 'k', lw=2);\n", "plt.plot(t, expected_pdf/iters, 'r', lw=2);\n", "plt.plot(x, np.zeros_like(x), '+k');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Collapsed Gibbs Sampling" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "image/png": 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lBiNrqXef56F0E6sOfpM39KSoPbWZwlSR3ts24bou04NT9Lev5fa2DPVnQ8re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\nZ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rQTk1j1RTTVmtCr2vjYYgNmrQ917Ne0KGJUVqWYlT3Ll9e30Vg8TK4xzPJV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\n0u7outdauKBtjJuDOYhUF7G434crfRkrD2czx9zHud4ELvPP5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jmVOoPjt91ChqkI4oqR\nZ2exfr1AOCRQtq6LDd800N80Tu/xjcyVT/LzjGTk5hGyFUEszpnMrX8GgA9mzydGJMGV0Mx5dTL8\nFT4GxiJ1zDRJRvLyM2nrsZGXdfqZwl8HUqQiOsYj5VRmVEQKWo9aTLgDSsymJEThMCW9IvqaWz8l\n+1HSQrRcyJlHVHmLEuUMY9rlJEYd94mxoaEh9u7dy4IFC6ioqEAkEhGanmbooV9Tdtd9DI2+yvDw\ny2Rk3IBu/BwOPPsGBdPT2GvmIIwMMyY5iLUyF5N8C9s9F3JX0rW8nLyUN5IuY3/WPMZMBchku3ip\ncg2vBfuJnXgb7fd+jWQ6yJ7apWwvugKXXs/3w4O819xD3bZtANQuLqNSsxjNURWDgzq0MVPI5h5H\nIlGzIuxhvziHOcVqZJLIo+rUniGSR+toXphKkiqJEkPJF76+p4t24UoU/in6G0+AWIKo6jKyDQKn\nBgYJxcazp9fJ72fm83RyCQkuBcbs59GlREqTPDN0jLlOFXMWreSdTjX1ztkEZNlUzMzF7z0PjcvJ\nf964hKl4OakDFlY/cgRDYj3y0WEswSJ6pw6yMbsQGy30fVjA9dKSPq64/C+cu2QHgZCEi+8qY0vL\nW6hkp5hqzmPSN5/5jgsJKXU0SN+hMGLs4cWmARQ33Ix4ZwvDkng2XB7DlFNE/sJuci52sDQoY2TL\nj9B5EnlIJ6LSKYGgFhkh8tU2SptbCAoC9bPnMBYUmDE6hS7WiE+wMmiPZJoakzPIKjfQ7/GxUB/3\nmev5dWVFcSFbTjQBMLs20m/XPGDAMpTMSHYiANl9IwyOt39KtrS0FIDm5uYv6GyjfFFElbcoUc4g\nJs1DaJNTPjHW19dHZ2cnK1euRKGIVGYPh8OMPPIQg+uKGLA+TlxcOZlpN+PaOcaxHRvJ7WxBeVUN\nLxzZRl+eh+NVJcw1NdA2pGT5YAbzTmxi3bFDbLAmM4PXWOzrZzrLwhqDg+Vbd3D3nY+hmbDTl57N\nYFUleucwy0oy8HjiMBoTmWyJVPu/fGUuyX0SdrdmA3BxwTa2xE1RYbgAl0vApXQhD+azKD8Ba78D\n/4SNsMJKlzDGWZmfLCj8r4Y4Lg61LwnzwP7IgLGc8zUOYsVBsvRK3tdXMbr7FS4v1vK4ZRkrYwrQ\nVkWsj35rC3ErjEzXObGZjMitA4S7nbxhcRCS7kUymo5IWMVDt13CuEZOcts4y954Dc8pEbOc25in\nK2CRx8Kh4myGhgcAyJ+5jKzJYe7/cT+Lytrw+mP42WM/Y0frcrRhHWqnCW1sOoawnqXffJyY+ZH4\nKXfnbsbsJl4UL+Oa72oYGBKhLexn/Q8DLEsTM/HM5WzRjLM10UK8V4NHGWbRRAJKkQHJjk2IwmEa\niotBk0ZjbB3zjvvRpeqZVrvpGYlsQTNMubgmfbjjJeii8W6foDo9jXZXxEJZkJ+BweDF7ZTR2V+E\nKyuSoJA6NIBF3EfA98k2WampqahUKsbGxpiYmPjCzz3K/x1R5S1KlDOIzqOHyame/fHfo6Oj9PT0\nsHDhwk8E9NvfeIOW/ClKklzkZN9BrKQQ2zvduCWdxHU/z9arlvPwe+3ESvQkFFqYH1/PCbuPuX3f\n4IOBJnIUXRhrExgzvo4p0MOQN5Olhhk0n1Rx5RuHibEMY01Iou66G1i7fgUiqZSXw7m4E2L4ptTB\npN1GjEbB6tU/oflwO0eaIsrbgvS30cYnUDHyAU8zl0V5sTQM2ClOiKX1oJn41rfYXOHnmtJrvvC1\n/Z+gV80nHDpOMBApN5Jaey0hhZOYiRGGBTUL1H3MCrpYkCLwp8BiSjRrAehv6uHJiQfoLXKijKvk\nhrF3KQl0MFujZcKYiV+8ByFrmsRAFa9eeyd2TRwJ3R4ue+5dNPLtWLqfZpJmpCMDTLmd6NR68j2p\n9MjOpe/gHt5c/1Ouv6ifYFjCr15YzF0vpBG2CIw5ElkjzWPjoJ2atEjh3f4GM8/9zs2DT1Yz4VCT\nnd7Mlc94aG4/gHH/AzxUXkOjS0+NLY21OV4c7mEStFPkC4sp2PceAO8tWoIm4OS8E2P0J2USTOlB\nogrRPhwpE3LBWUvpODWGIidqdft7RIKAVBGDc3ICpTKdsrJhAHrNxUwXRBrWJ433MR0Ga9cn494E\nQaCgINKruK3tf16/MMq/HlHlLUqUMwivYwplXCRmyO12U19f/ynFzXPyJLbACcyGXmpKHwS7mKkt\nx1FInuKFlo28dM7VJNcdISXopHDudjSqMcbGJKSfWEyvYRuLSt/BmLAAz6CCsG8Up/0SckrENDbq\nueL3z6HoasKj0fH89ZczGz9vdHYT8sUiFGqoNmrY8+yfAaiZn41CkcSj+zMJBCSUZdcjy3EzM72a\n7LFBDifEcGV6NSqZmMMbeyjMcLJP3MVNtXcgEr4ajy7tOeuIdXnpOfGh9U0korZkMTWKdlIDU9w/\nUUxVzBB3rqjmMpGSpiINErUGl8vHeOtsnIYutJMdNAYq+HF2F0gTqFUXM6J2EwyZaNfXE1YU8eaK\ntQwZUzAMuFh5l5ULw3Us8LaQeTISByUvjOdVWZAk2WHMwRxeEZXw+OW/46+3P4la6qZxoJib/7CU\nX9wt45XHLdRvjsc8cgMALdYwLxyoIRAQM3vNLp68/Ecse/Z7yOhgf04Q2ckBlg+XIl+Sz3j3bJIm\nRMSk+Il56SkkgQBtOVnsLZKRPTCJSyom0xvGlzSK3a1m3OlFJFewaGkN7aNOFqXFf1m36l+agsxM\nDh7YjyCIKCsfAcAyloNFZ8AvERPvsKFxqek73PVp2Q+Vt9bWT8fERfnq8tV4AkaJEuVzsVlG0CQm\nAxG36N69e1myZAmiv2kzFJyaYvDAY0zNTERmWId/eALbxm/RI/kdNznTyPQlsOxIH96pIuKWpmDz\nhnE6EsiMacRQsAWTsolExxLsY0582k661atIDhuRt5tJ+vNTxHU24o+L5w83XIuxbB5/0FQRtk1S\nHB9HndPD97OS2fnuuwBcc8n36ex4ms17I4V1N2S+QdvMLKrbfbyfkk6mRs+O5lGMo35K5iVx9MVf\nsviGn6OUfnWyEcVqNUnuSgZ6nvt4bLkxmR2mc/hxfDPHY428tfMwQ52nOO/8efx2YJL8rEwAhH07\nCBzWsTO/muyAmtG+QW6XvkbjqARxbgHC8CEWL70ed+bzTCXV8tdv3cuo3oBy2E7ZvQPYO8KYzZHi\nvIrsWcgMbg4Ol+DNP05DqpnLeofRF25mx6+/wwVZWxELYZqHC3h6ywL2P1rBsy9dACQCNkyJu7lp\nw3XcpriVLXoJv9ctYG3rCMkfZBESywikzCHxuIFu/UFmu7PQWwPE794NwNtzizmvNwm7qB/BEYe2\nXIeUccZaIy6+pPQMgr4wVkKUxsZ8cTfnK8TilETqvQHC4TAV5ZGSMqNmE14fDGVG4iTTh0Zo7W38\nlGzU8nZmElXeokQ5Q+isO0jurFoAmpqayMvL+zjGDSIKXfdf70KxvIYjHgXzJ6xMbVrLrppv8bb0\nGla/cYwBfxpvuDLZrM9iX5uVDyzzaBpzMXb0TiZPmtD3FzDptxGfcojuBCkVHVKSvRMIf30EY2sz\n/tg4nr7lbl42FRBuM/OzZSAPqdmuU/DLPBPWkW56B/oRxCIqSsfY+moek85YEnWDXJJzEmcQYm0n\neUFXyffycti9f5BF89Ko++vdpF56Naa4tC9ref/HJJxzGXKbmYmRTiDiBptrNNGaeTZXKFv5Q+Y6\nwo2vcmj3m3TGSihNjFhOvbYeBlJAMSDwriEf9+BcnhgIcZ5+L2L7csZ8A3QIOgz6NQjZ+wjaLTx1\n7W8YSTOhmvBy1p82I5yMJCusM/VxIFgJpSoyTyzkR7ZGvi9IsDslaDz1rLrz5/zolnmcv/pdZi3e\nSkHZUTJqB9HpI4pB5ZL7cJdOsr+4lqxDY8zv2YdNkkJWXz8zRauJSRWRUOLHPzqAJN1M9tN1iINB\n6kvT8QdiSUJNwsgojlgNyvQeppDR3ho5tzmzyuluGieQHYvof7FW35lEoUrBuMGIta+H2tpITKC5\n38D4mIbhnMg9SuvrZcRrJhwKf0I2qrydmUQjQ6NEOUPwTNlRarS43W5GR0dZtmzZJ44PvfMQQnEC\nxsxLKXtlKZLpHP4w/6+MdUwSfHsTp+asINzVjzfdwQXFbzISNLBvdBqlZx7vSLoJThczV2SlSDLK\n7vBVzK2TEBdjR/eXW4gZsDMVp+GBa3+CZ24qN0gknO0S0XPyAHZbFqwuZKZGxe0PfI9QKEx2uYGQ\nvpz/fDIDgDXl2/GIskiMhS0BLyqJia6dg1QXJ3Cy4xU0kjjKZ5/7ZSzr/zfyrCxM9tk0Hv45i9Y9\nC8BKfRw/m0zgjoJKGlsa+Q/NxfwhrRtpvJ+B+hReAU6MubhXcgyfc5hEQw3HRZPMH87lOdsUDn8j\np8SrkGx+F+s5aykM7SYw3MvuWTWk9H2LhSdeIau1mac8HlzA/BgjWbEvY9b+mD8uELjseBHutDc5\nrpAT4wyRaZOyKEHAOvpnOmeXovBX85dZfQQfNrBtB8QHcimWVOLwh9g1cy2GwRNoJzYyrJfi6n2U\nOJuBvQYZifYwVvtx9Me7CIjFtBmyGSyez7K2AU6pK5hKFoG0H1swjROjkQzIxbULaOgcZ96qr55i\n/kUhEgS0Kal01u2h/OxZ5OU56OhQ09xTQUlWxI2aPtDOnuBiPAN2lH/TXqywMNK1JOo2PbOIWt6i\nRDkDmLKOojZEygYcPnyY2traTxy3de7D5j5KZs13GXpxEXiblSYAACAASURBVFO+pVyvug1X/xRJ\nO3+KuqiLmJZ6MubJWFeyBWfnDMSH17K6+Rusbi5mfd8odwptVKic7Heupq5HwZ6xT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1mN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\nuLGJh4TkPOb+3/NwAidLdMd5s0UQZw5gABv8A5VSThH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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "#Iterations of Collapsed Gibbs sampling\n", "plt.figure()\n", "iters = 100\n", "expected_pdf = 0\n", "for ii in range(iters):\n", " # Given z, posterior predictive distribution is mixture of Student's t-distribution\n", " alphaN, mN, kappaN, aN, bN = GMMParamsPosteriorParams(alpha0, m0, kappa0, a0, b0, x, z)\n", " weights = (alphaN)/alphaN.sum()\n", " pdf = sps.t.pdf(t[:,np.newaxis], loc=mN, df=2*aN, scale=np.sqrt(bN*(kappaN+1)/aN/kappaN)).dot(weights)\n", "\n", " # The PDF that we have evaluated here is the predictive distribution only for a given z. \n", " # To approximate \"full\" posterior predictive distribution, we need to average the PDFs\n", " # obtained for different samples of z\n", " expected_pdf += pdf\n", " if ii % 1 == 0:\n", " plt.plot(t, pdf, lw=0.5)\n", " \n", " # In the inner GS iterations, we ...\n", " for n in range(len(x)):\n", " # remove one observation x_i and corresponding z_i\n", " z[n] = 0\n", " \n", " # calculate P(z_i| x_i, x_\\i, z_\\i), given all remaining observation x_\\i and z_\\i\n", " alphaN, mN, kappaN, aN, bN = GMMParamsPosteriorParams(alpha0, m0, kappa0, a0, b0, x, z) #2)\n", " weights = (alphaN)/alphaN.sum()\n", " p_zi = sps.t.pdf(x[n], loc=mN, df=2*aN, scale=np.sqrt(bN*(kappaN+1)/aN/kappaN)) * weights\n", " \n", " # resample value of z_i using this probability\n", " z[n] = sps.multinomial.rvs(1, p_zi/p_zi.sum()) #3)\n", " \n", "#plot the true GMM, ML EM trained GMM and empiricl posterior predictive GMM from GS\n", "plt.plot(t, true_GMM_pdf, 'b', lw=2);\n", "plt.plot(t, EM_GMM_pdf, 'k', lw=2);\n", "plt.plot(t, expected_pdf/iters, 'r', lw=2);\n", "plt.plot(x, np.zeros_like(x), '+k');" ] } ], "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": "2.7.13" } }, "nbformat": 4, "nbformat_minor": 2 }