{ "metadata": { "name": "", "signature": "sha256:cb5fa83584008257b29f466c42986395ac8131a561fb262ea641a824cb862799" }, "nbformat": 3, "nbformat_minor": 0, "worksheets": [ { "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "Based upon section 3 of [arXiv:1008.4686](http://arxiv.org/abs/1008.4686)" ] }, { "cell_type": "code", "collapsed": false, "input": [ "%matplotlib inline\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "import emcee\n", "import triangle\n", "import random" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 2 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Suppose we have a simple regression model\n", "\n", "$$ y_i = \\beta x_i + \\epsilon_i $$\n", "\n", "with $\\epsilon_i$ iid $N(0,\\sigma^2)$. However, an unknown number of the $y_i$ are actually drawn from $N(0,\\sigma_0^2)$." ] }, { "cell_type": "code", "collapsed": false, "input": [ "def make_example(n, beta, sigma, sigma0):\n", " x = np.random.random(size = n) * 50\n", " y = beta * x + np.random.normal(scale = sigma, size = n)\n", " indices = random.sample(range(n), n//5)\n", " y[indices] = np.random.normal(scale = sigma0, size = n//5)\n", " return x, y\n", "\n", "x, y = make_example(50, 0.5, 1, 10)\n", "_ = plt.scatter(x,y)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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"text": [ "" ] } ], "prompt_number": 229 }, { "cell_type": "markdown", "metadata": {}, "source": [ "We have our unknown variables $\\beta, \\sigma, \\sigma_0$, and let us introduce binary variables $(o_i)_{i=1}^n \\subseteq \\{0,1\\}$ where $o_i = 1$ indicates that reading $i$ is an \"outlier\". So the likelihood is\n", "\n", "$$ p(y | \\beta, \\sigma, \\sigma_0, o) = \\prod_{i=1}^n f_i(y|\\beta,\\sigma)^{1-o_i} g_i(y|\\sigma_0)^{o_i} $$\n", "\n", "where $f_i(y) = (2\\pi\\sigma^2)^{-1/2} \\exp\\big( -\\frac{1}{2\\sigma^2} (y_i - \\beta x_i)^2 \\big)$ and $g_i(y) = (2\\pi\\sigma_0^2)^{-1/2} \\exp\\big( -\\frac{1}{2\\sigma_0^2} y_i^2 \\big)$.\n", "\n", "For priors, let's choose the Jeffreys prior on $\\sigma, \\sigma_0$, a flat prior on $\\beta$, and a flat prior on $o$, as we have no knowledge of which values are outliers." ] }, { "cell_type": "code", "collapsed": false, "input": [ "def log_likelihood(theta, x, y):\n", " beta, sigma, sigma0 = theta[:3]\n", " o = theta[3:]\n", " linear_part = - np.log(sigma * sigma) / 2 - (y - beta * x)**2 / (2 * sigma * sigma)\n", " outlier_part = - np.log(sigma0 * sigma0) / 2 - y**2 / (2 * sigma0 * sigma0)\n", " return np.sum( o * outlier_part + (1-o) * linear_part)\n", "\n", "def log_prior(theta):\n", " beta, sigma, sigma0 = theta[:3]\n", " return - np.log(abs(sigma)) - np.log(abs(sigma0))\n", "\n", "def log_posterior(theta, x, y):\n", " return log_likelihood(theta, x, y) + log_prior(theta)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 230 }, { "cell_type": "markdown", "metadata": {}, "source": [ "From a simulation point of view, this is a high-dimensional problem, and partly discrete, so I don't think we can just use `emcee` naively. Instead, let's roll our own MCMC method, using a combination of a Gibbs sampler and a Metropolis sampler.\n", "\n", " - At each step, we choose which variable to update (I think this definitely makes this a Gibbs method, though the terminology is confusing).\n", " - If it's $\\beta, \\sigma$ or $\\sigma_0$ then we apply a usual Metropolis method, say with jump probability $N(0,0.1)$\n", " - Otherwise we update one of the $o_i$, where we'll use a jump probability of 50%." ] }, { "cell_type": "code", "collapsed": false, "input": [ "def jump_index(index, theta, x, y, old_log_prob):\n", " theta_new = np.array(theta, dtype=np.float64)\n", " if index < 3:\n", " theta_new[index] += np.random.normal(0, 0.2)\n", " else:\n", " if np.random.random() >= 0.5:\n", " theta_new[index] = 1 - theta_new[index]\n", " log_prob = log_posterior(theta_new, x, y)\n", " alpha = log_prob - old_log_prob\n", " if alpha >= 0 or alpha >= np.log(np.random.random()):\n", " return theta_new, log_prob\n", " return theta, old_log_prob\n", "\n", "def jump(theta, x, y, old_log_prob):\n", " index = random.randrange(len(theta))\n", " return jump_index(index, theta, x, y, old_log_prob)\n", "\n", "def walk(theta, x, y, length = 1000):\n", " old_log_prob = log_posterior(theta,x,y)\n", " trace = []\n", " for _ in range(length):\n", " theta, old_log_prob = jump(theta, x, y, old_log_prob)\n", " trace.append(theta)\n", " return np.array(trace)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 231 }, { "cell_type": "code", "collapsed": false, "input": [ "theta = np.array([0,1,1] + [1]*len(x))\n", "trace = walk(theta, x, y, 1000000)\n", "trace" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 232, "text": [ "array([[ 0. , 1. , 1. , ..., 1. ,\n", " 1. , 1. ],\n", " [ 0. , 1. , 1. , ..., 1. ,\n", " 1. , 1. ],\n", " [ 0. , 1. , 1. , ..., 1. ,\n", " 1. , 1. ],\n", " ..., \n", " [ 0.50289543, 1.21465707, 8.5969908 , ..., 0. ,\n", " 0. , 0. ],\n", " [ 0.50289543, 1.21465707, 8.5969908 , ..., 0. ,\n", " 0. , 0. ],\n", " [ 0.50289543, 1.21465707, 8.5969908 , ..., 0. ,\n", " 0. , 0. ]])" ] } ], "prompt_number": 232 }, { "cell_type": "code", "collapsed": false, "input": [ "# Marginalise away the outliers and discard burnin and sample every 100 terms to try to reduce correlations\n", "param_trace = trace[10000::100, :3]" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 233 }, { "cell_type": "code", "collapsed": false, "input": [ "figure = triangle.corner(param_trace, labels = [\"$\\\\beta$\", \"$\\sigma$\", \"$\\sigma_0$\"], truths=[0.5, 1, 10])" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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MJsxmc70nvoZOalVVVfj6+mq362NZ62/dytd6yuHs2bMcOXIEqGkOdNtttxEf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5ffo0bdq0wcXFhY8++kh4C1yKUqlk1qxZaDQa1q9fz7p16ygoKLjmolVeXo4kSezZswc3NzfR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\n7Ux0ilbbnl7Sf6cSBuGnDdD1iu2TJe0H/M7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"text": [ "" ] } ], "prompt_number": 234 }, { "cell_type": "code", "collapsed": false, "input": [ "fig, axes = plt.subplots(figsize=(8,6))\n", "axes.plot(x,y, \"ok\")\n", "\n", "xfit = np.linspace(0, 50, num=50)\n", "beta = param_trace[:, 0]\n", "yfit = (xfit[:,None]*beta).mean(1)\n", "axes.plot(xfit, yfit)\n", "s = (xfit[:,None]*beta).std(1)\n", "axes.fill_between(xfit, yfit-s, yfit+s, color=\"lightgray\")" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 235, "text": [ "" ] }, { "metadata": {}, "output_type": "display_data", "png": 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"text": [ "" ] } ], "prompt_number": 235 }, { "cell_type": "code", "collapsed": false, "input": [ "outliers = [ (index, trace[:,index+3].mean()) for index in range(len(x)) ]\n", "outliers.sort(key = lambda pair : pair[1])\n", "outliers" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 236, "text": [ "[(27, 0.0094120000000000002),\n", " (49, 0.0098130000000000005),\n", " (44, 0.010803999999999999),\n", " (29, 0.011235999999999999),\n", " (22, 0.016619999999999999),\n", " (9, 0.018874999999999999),\n", " (40, 0.019254),\n", " (30, 0.022537000000000001),\n", " (1, 0.028646999999999999),\n", " (36, 0.033452000000000003),\n", " (45, 0.036044),\n", " (25, 0.036894999999999997),\n", " (23, 0.042146999999999997),\n", " (5, 0.042412999999999999),\n", " (14, 0.045911),\n", " (6, 0.047826),\n", " (7, 0.048520000000000001),\n", " (24, 0.051985000000000003),\n", " (47, 0.064698000000000006),\n", " (17, 0.072871000000000005),\n", " (12, 0.076995999999999995),\n", " (3, 0.077533000000000005),\n", " (19, 0.087968000000000005),\n", " (26, 0.089524000000000006),\n", " (35, 0.094821000000000003),\n", " (46, 0.095072000000000004),\n", " (8, 0.095722000000000002),\n", " (41, 0.096133999999999997),\n", " (20, 0.098364999999999994),\n", " (37, 0.099663000000000002),\n", " (0, 0.108279),\n", " (38, 0.141537),\n", " (34, 0.14313799999999999),\n", " (10, 0.16606799999999999),\n", " (48, 0.18185899999999999),\n", " (28, 0.192745),\n", " (16, 0.20547499999999999),\n", " (18, 0.23061400000000001),\n", " (31, 0.25907400000000003),\n", " (32, 0.39712700000000001),\n", " (15, 0.49575799999999998),\n", " (33, 0.65765799999999996),\n", " (13, 0.99680100000000005),\n", " (4, 0.99761),\n", " (39, 0.99973900000000004),\n", " (21, 0.99976100000000001),\n", " (11, 0.99986799999999998),\n", " (2, 1.0),\n", " (42, 1.0),\n", " (43, 1.0)]" ] } ], "prompt_number": 236 }, { "cell_type": "code", "collapsed": false, "input": [ "outlier_indices = [i for (i,t) in outliers if t > 0.9]\n", "\n", "fig, axes = plt.subplots(figsize=(8,6))\n", "axes.plot(x,y, \"ok\", color=\"grey\")\n", "axes.plot(x[outlier_indices],y[outlier_indices], \"ok\", color=\"red\")" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 238, "text": [ "[]" ] }, { "metadata": {}, "output_type": "display_data", "png": 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"text": [ "" ] } ], "prompt_number": 238 }, { "cell_type": "heading", "level": 1, "metadata": {}, "source": [ "Speeding it up" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The sampling is rather slow. Let's consider the task of updating one of the $o_i$. The posterior distribution is\n", "\n", "$$ p \\propto \\sigma^{-1} \\sigma_0^{-1} \\prod_{i=1}^n f_i(y|\\beta,\\sigma)^{1-o_i} g_i(y|\\sigma_0)^{o_i}. $$\n", "\n", "Fix $o_i$ and let $\\theta$ be all the other variables (including $y$). Then\n", "\n", "$$ p(o_i | \\theta ) = \\frac{p(o_i, \\theta)}{p(\\theta)} = \\frac{p(o_i, \\theta)}{p(0,\\theta) + p(1,\\theta)}. $$\n", "\n", "This simplifies a lot to give:\n", "\n", "$$ p(o_i|\\theta) = \\frac{f_i(y|\\beta,\\sigma)^{1-o_i} g_i(y|\\sigma_0)^{o_i}}{f_i(y|\\beta,\\sigma) + g_i(y|\\sigma_0)}. $$\n", "\n", "In fact, notice that this distribution _only_ depends on $\\beta, \\sigma, \\sigma_0$, and so by updating all the $o_i$ at the same time, we end up taking an exact sample from $p(o|\\beta,\\sigma\\,sigma_0)$. Thus this new algorithm is, essentially, a 4-dimensional Gibbs sampler. We can also exploit `numpy` magic to make the $(o_i)$ step pretty fast." ] }, { "cell_type": "code", "collapsed": false, "input": [ "def gibbs(theta, x, y):\n", " # Update beta etc.\n", " old_log_prob = log_posterior(theta, x, y)\n", " theta, old_log_prob = jump_index(0, theta, x, y, old_log_prob)\n", " theta, old_log_prob = jump_index(1, theta, x, y, old_log_prob)\n", " theta, old_log_prob = jump_index(2, theta, x, y, old_log_prob)\n", " # Update outliers\n", " beta, sigma, sigma0 = theta[:3]\n", " o = theta[3:]\n", " linear_part = - np.log(sigma * sigma) / 2 - (y - beta * x)**2 / (2 * sigma * sigma)\n", " outlier_part = - np.log(sigma0 * sigma0) / 2 - y**2 / (2 * sigma0 * sigma0)\n", " # prob = P(o_i = 1)\n", " #prob = np.exp(outlier_part) / (np.exp(linear_part) + np.exp(outlier_part))\n", " prob = 1.0 / (1.0 + np.exp(linear_part - outlier_part))\n", " o = np.array( np.random.random(size = len(prob)) <= prob, dtype = np.float64 )\n", " return np.hstack([np.array([beta, sigma, sigma0]), o])\n", "\n", "def walk(theta, length = 10000):\n", " trace = []\n", " for _ in range(length):\n", " theta = gibbs(theta, x, y)\n", " trace.append(theta)\n", " return np.array(trace)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 243 }, { "cell_type": "code", "collapsed": false, "input": [ "theta = np.array([0,1,1] + [1]*len(x))\n", "trace = walk(theta, 20000)\n", "param_trace = trace[2000::, :3]\n", "figure = triangle.corner(param_trace, labels = [\"$\\\\beta$\", \"$\\sigma$\", \"$\\sigma_0$\"], truths=[0.5, 1, 10])" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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DcPLkSeDH6QqDweCC6IQQQjQHSQbEdTlw4AAgaxeEEOJmIMlAO+Nc0W+32xvM4TfnfH79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\ndBcRl6mB5mGYub19mRcBESJy4kXCT1y2LgBKqY0YvsB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"text": [ "" ] } ], "prompt_number": 246 }, { "cell_type": "code", "collapsed": false, "input": [ "outliers = [ (index, trace[:,index+3].mean()) for index in range(len(x)) ]\n", "outliers.sort(key = lambda pair : pair[1])\n", "outlier_indices = [i for (i,t) in outliers if t > 0.9]\n", "\n", "fig, axes = plt.subplots(figsize=(8,6))\n", "axes.plot(x,y, \"ok\", color=\"grey\")\n", "axes.plot(x[outlier_indices],y[outlier_indices], \"ok\", color=\"red\")\n", "xfit = np.linspace(0, 50, 50)\n", "beta = trace[:,0]\n", "axes.plot(xfit, xfit*beta.mean())" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 247, "text": [ "[]" ] }, { "metadata": {}, "output_type": "display_data", "png": 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