{ "metadata": { "name": "" }, "nbformat": 3, "nbformat_minor": 0, "worksheets": [ { "cells": [ { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "# Bayesian data analysis with PyMC2 \n", "## Imri Sofer\n", "### Brown University\n", "
\n", "
\n", "
\n", "
\n", " \n", "### PyData Boston 2013" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "# Outline\n", "* Bayesian models creation using PyMC2\n", "* model interaction\n", "* Basic fitting\n", "* Intro to MCMC\n", "* Sampling methods\n", "* The future of Bayesian modeling in python" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "**How is he going to do it all?**" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "# What is PyMC?\n", "PyMC is a python module that implements Bayesian statistical models and fitting algorithms.\n", "\n", "PyMC(2) was Developed by Chris Fonnesbeck, David Huard, and Anand Patil." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "# Real world Example\n", "### Bioassay experiment (form Bayesian Data Analysis by Gelman et. al.)\n", "When testing a drug, we would like to assess the effect of different doses." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "```\n", "Dose Number of Number of\n", "(log g/ml) rats deaths\n", "---------------------------------------\n", " -0.896 5 0\n", " -0.296 5 1\n", " -0.053 5 3\n", " 0.727 5 5\n", "```" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "# A few Changes" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "## rats => horses" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "## drugs => pixie dust" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "## dying = > turn into unicorns" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "```\n", "Pixie dust Number of Number of\n", "(log g/ml) horses unicorn\n", "---------------------------------------\n", " -0.896 5 0\n", " -0.296 5 1\n", " -0.053 5 3\n", " 0.727 5 5\n", "```" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "# The Model\n", "\n", "$$\n", "unicorns_i \\sim Bin(n_i,\\theta_i)\\\\\n", "$$" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "$logit(\\theta) = \\alpha + \\beta x_i $\n", "\n", "*(which is the same as $~\\theta_i = \\frac{1}{1 + e^{-{\\alpha + \\beta x_i}}}$)*" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "$$\n", "\\alpha \\sim \\mathcal{N}(0,5)\\\\\n", "\\beta \\sim \\mathcal{U}(-\\infty,\\infty)\n", "$$" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "# The code" ] }, { "cell_type": "code", "collapsed": false, "input": [ "%pylab inline\n", "from IPython.display import Image\n" ], "language": "python", "metadata": { "slideshow": { "slide_type": "skip" } }, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Populating the interactive namespace from numpy and matplotlib\n" ] } ], "prompt_number": 1 }, { "cell_type": "code", "collapsed": false, "input": [ "from pymc import *\n", "from numpy import ones, array\n", "\n", "# alpha ~ Normal(mu=0, std=5)\n", "alpha = Normal('alpha', mu=0, tau=1./5**2, value=0.)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 3 }, { "cell_type": "code", "collapsed": false, "input": [ "# an alternative way is to define a function which returns the likelihood:\n", "@stochastic\n", "def alpha(value=0, mu=0, tau=1./5**2):\n", " return normal_like(value, mu=mu, tau=tau)" ], "language": "python", "metadata": { "slideshow": { "slide_type": "fragment" } }, "outputs": [], "prompt_number": 4 }, { "cell_type": "code", "collapsed": false, "input": [ "# beta ~ U(-inf, inf)\n", "@stochastic\n", "def beta(value=10.):\n", " return 0." ], "language": "python", "metadata": { "slideshow": { "slide_type": "slide" } }, "outputs": [], "prompt_number": 5 }, { "cell_type": "code", "collapsed": false, "input": [ "# logit(theta) = a + b*x\n", "# theta = invlogit(a + b*x)\n", "dust=array([-.86,-.3,-.05,.73])\n", "\n", "@deterministic\n", "def theta(a=alpha, b=beta, d=dust):\n", " \"\"\"theta = inv_logit(a+b)\"\"\"\n", " return invlogit(a+b*d)" ], "language": "python", "metadata": { "slideshow": { "slide_type": "fragment" } }, "outputs": [], "prompt_number": 6 }, { "cell_type": "code", "collapsed": false, "input": [ "n = 5*ones(4,dtype=int)\n", "data =array([0,1,3,5], dtype=float)\n", "\n", "# unicorns ~ Bin(N_i, theta_i)\n", "unicorns = Binomial('unicorns', n=n, p=theta, value=data, observed=True)" ], "language": "python", "metadata": { "slideshow": { "slide_type": "fragment" } }, "outputs": [], "prompt_number": 7 }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "# Putting it all together" ] }, { "cell_type": "code", "collapsed": false, "input": [ "from pymc import *\n", "from numpy import ones, array\n", "dust=array([-.86,-.3,-.05,.73])\n", "n = 5*ones(4,dtype=int)\n", "data =array([0,1,3,5], dtype=float)\n", "\n", "# alpha ~ Normal(mu=0, std=5)\n", "alpha = Normal('alpha', mu=0, tau=1./5**2, value=0.)\n", "\n", "# beta ~ U(-inf, inf)\n", "@stochastic\n", "def beta(value=10.):\n", " return 0.\n", "\n", "# theta_i = invlogit(a + b*x_i)\n", "@deterministic\n", "def theta(a=alpha, b=beta, d=dust):\n", " \"\"\"theta = inv_logit(a+b)\"\"\"\n", " return invlogit(a+b*d)\n", "\n", "# unicorns ~ binomial(n_i, theta_i)\n", "unicorns = Binomial('unicorns', n=n, p=theta, value=data, observed=True)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 8 }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "# A graphical representation" ] }, { "cell_type": "code", "collapsed": false, "input": [ "M = MCMC([alpha, beta, theta, unicorns])\n", "\n", "#create a graph for the model and save it to a file\n", "graph.graph(M,format='png',path='',name='unicorns_model')\n", "\n", "import scipy.misc\n", "plt.figure(figsize=(8, 8))\n", "plt.imshow(scipy.misc.imread('unicorns_model.png'))" ], "language": "python", "metadata": { "slideshow": { "slide_type": "fragment" } }, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 9, "text": [ "" ] }, { "metadata": {}, "output_type": "display_data", "png": 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MxGw286Mf/QiPx0MkEuE73/lOVNNRYuaJHTly5HO/fmFhgYsXL/KTn/wEi8XCM888w/e+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\nGF1dXfh8P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"text": [ "" ] } ], "prompt_number": 9 }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "# Parents and children" ] }, { "cell_type": "code", "collapsed": false, "input": [ "print \"alpha's parents: \", alpha.parents\n", "print \"alpha's children: \", alpha.children" ], "language": "python", "metadata": { "slideshow": { "slide_type": "fragment" } }, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "alpha's parents: {'mu': 0, 'tau': 0.04}\n", "alpha's children: set([])\n" ] } ], "prompt_number": 10 }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "# Values" ] }, { "cell_type": "code", "collapsed": false, "input": [ "print \"alpha's value:\", alpha.value\n", "print \"beta's value:\", beta.value\n", "print \"theta's value:\", theta.value\n", "print \"unicorns's value:\", unicorns.value" ], "language": "python", "metadata": { "slideshow": { "slide_type": "-" } }, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "alpha's value: 0.0\n", "beta's value: 10.0\n", "theta's value: [ 1.84071905e-04 4.74258732e-02 3.77540669e-01 9.99324917e-01]\n", "unicorns's value: [0 1 3 5]\n" ] } ], "prompt_number": 11 }, { "cell_type": "code", "collapsed": false, "input": [ "beta.value = 11\n", "print \"beta's value:\", beta.value\n", "print \"theta's value:\", theta.value\n" ], "language": "python", "metadata": { "slideshow": { "slide_type": "fragment" } }, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "beta's value: 11.0\n", "theta's value: [ 7.79005221e-05 3.55711893e-02 3.65864409e-01 9.99674558e-01]\n" ] } ], "prompt_number": 12 }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "# $log(P)$" ] }, { "cell_type": "code", "collapsed": false, "input": [ "print \"alpha's logp: \", alpha.logp\n", "print \"model's logp: \", M.logp" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "alpha's logp: -2.52837644564\n", "model's logp: -6.02692913581\n" ] } ], "prompt_number": 13 }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "# Finding the MAP (maximum a posteriori)\n" ] }, { "cell_type": "code", "collapsed": false, "input": [ "map = MAP([alpha, beta, theta, unicorns])\n", "map.fit()\n", "print \"alpha's value:\", alpha.value\n", "print \"beta's value:\", beta.value\n", "print \"theta's value:\", theta.value\n", "print \"unicorns's value:\", unicorns.value" ], "language": "python", "metadata": { "slideshow": { "slide_type": "fragment" } }, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "alpha's value: 0.813133194826\n", "beta's value: 7.63530029532\n", "theta's value: [ 0.0031625 0.18581185 0.60620033 0.99831937]\n", "unicorns's value: [0 1 3 5]\n" ] } ], "prompt_number": 14 }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "Common interest in bioassay studies is the LD50. \n", "LD50 - the dosage level in which the probability of death turning into a unicorn is 50%." ] }, { "cell_type": "code", "collapsed": false, "input": [ "LD50_using_MAP = -alpha.value / beta.value\n", "print \"LD50: \", LD50_using_MAP" ], "language": "python", "metadata": { "slideshow": { "slide_type": "fragment" } }, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "LD50: -0.106496557224\n" ] } ], "prompt_number": 15 }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "# Let's talk about MCMC" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "How do we answer questions about uncertainty (e.g, confience interval, Is probable that LD50 is larger than 0?) ?" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "We need to estimate the posterior in order to evaluate the model properly. \n", "$P(\\alpha, \\beta|X)=~?$" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "Since exact analytical solution is hard, we will approximate it. \n", "We will generate samples from the posterior using a magical routine called Markov chain Monte Carlo (MCMC)" ] }, { "cell_type": "code", "collapsed": false, "input": [ "Image(filename='what_we_would_get.png')" ], "language": "python", "metadata": { "slideshow": { "slide_type": "fragment" } }, "outputs": [ { "metadata": {}, "output_type": "pyout", "png": 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M7PPBu3HjRlitVvj7++MHP/iBY/2mTZvQ2NiI4OBgLF++3HM/AHm1nV+dwZ2T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\n/B/WIMl241baYgAAAABJRU5ErkJggg==\n", "prompt_number": 16, "text": [ "" ] } ], "prompt_number": 16 }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "# My unsatisfying MCMC description\n", "At each step of the algorithm we would generate a sample given the current status of our model.\n", "\n", "$X_t = S(X_{t-1})$" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "we would then have a long chain of samples. \n", "According to the MCMC theory, after $T$ steps our samples are drawn from the model's posterior (under some assumptions)." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "## Meta algorithm \n", "* draw n samples using your sampling method\n", "* discard the first T samples (burn-in period)\n", "* create a beautiful histogram from the rest of the samples" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "# A Metropolis sampler in action" ] }, { "cell_type": "code", "collapsed": false, "input": [ "from IPython.display import YouTubeVideo" ], "language": "python", "metadata": { "slideshow": { "slide_type": "-" } }, "outputs": [ { "html": [ "\n", " \n", " " ], "metadata": {}, "output_type": "pyout", "prompt_number": 17, "text": [ "" ] } ], "prompt_number": 17 }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "# It all comes down to the sampling method $(S)$\n", "* Metropolis-Hastings\n", "* Gibbs\n", "* Metropolis-within-Gibbs\n", "* Hamiltonain Monte Carlo\n", "* No-U-Turns Sampler (Adaptive Hamiltonian Monte Carlo)" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "# PyMC2 uses Metropolis-within-Gibbs on default\n", "## a non mathematical description:\n", "\n", "for node in nodes:
\n", "
    sample a suggestion $(X_{t+1})$ from a normal distribution around the current value ($X_{t})$. \n", "If the suggestion improves the model's logp: \n", "
      accept it
    \n", "else: \n", "
      maybe accept*


\n", "\n", "*acceptance is proportional to how bad is the new sample\n", " \n", " " ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "# MCMC in PyMC" ] }, { "cell_type": "code", "collapsed": false, "input": [ "M = MCMC([alpha, beta, theta, unicorns])\n", "M.sample(10000, burn=5000)" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ " \r", "[****************100%******************] 10000 of 10000 complete" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "\n" ] } ], "prompt_number": 18 }, { "cell_type": "code", "collapsed": false, "input": [ "fig = plt.figure(figsize=(16,8))\n", "Matplot.plot(alpha, new=False)" ], "language": "python", "metadata": { "slideshow": { "slide_type": "fragment" } }, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Plotting alpha\n" ] }, { "metadata": {}, "output_type": "display_data", "png": 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6Iyn3RRBhgOLpiLEOzfHxTcZjRm+++Wa8/PLLOP30033P5TX8qqoqz+2hoUHX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/XMM89o165deuaZZ/TMM8/kOiQAAHKOxigAABl2ww03aOrUqbrxxhs1depUTZ06NdchuYaJeVTk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\nH9O3V6xY4ah42A7dR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"text": [ "" ] } ], "prompt_number": 19 }, { "cell_type": "code", "collapsed": false, "input": [ "M.summary()" ], "language": "python", "metadata": { "slideshow": { "slide_type": "slide" } }, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "\n", "alpha:\n", " \n", "\tMean SD MC Error 95% HPD interval\n", "\t------------------------------------------------------------------\n", "\t1.211 1.049 0.049 [-0.736 3.376]\n", "\t\n", "\t\n", "\tPosterior quantiles:\n", "\t\n", "\t2.5 25 50 75 97.5\n", "\t |---------------|===============|===============|---------------|\n", "\t-0.694 0.497 1.153 1.83 3.474\n", "\t\n", "\n", "beta:\n", " \n", "\tMean SD MC Error 95% HPD interval\n", "\t------------------------------------------------------------------\n", "\t11.172 5.184 0.25 [ 3.074 21.702]\n", "\t\n", "\t\n", "\tPosterior quantiles:\n", "\t\n", "\t2.5 25 50 75 97.5\n", "\t |---------------|===============|===============|---------------|\n", "\t3.532 7.348 10.265 14.136 23.026\n", "\t\n", "\n", "theta:\n", " \n", "\tMean SD MC Error 95% HPD interval\n", "\t------------------------------------------------------------------\n", "\t0.007 0.022 0.001 [ 0. 0.039]\n", "\t0.151 0.122 0.003 [ 0. 0.397]\n", "\t0.634 0.179 0.007 [ 0.288 0.955]\n", "\t0.993 0.026 0.001 [ 0.961 1. ]\n", "\t\n", "\t\n", "\tPosterior quantiles:\n", "\t\n", "\t2.5 25 50 75 97.5\n", "\t |---------------|===============|===============|---------------|\n", "\t0.0 0.0 0.0 0.004 0.07\n", "\t0.007 0.056 0.122 0.219 0.464\n", "\t0.252 0.515 0.654 0.769 0.93\n", "\t0.93 0.998 1.0 1.0 1.0\n", "\t\n" ] } ], "prompt_number": 20 }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "# The chain" ] }, { "cell_type": "code", "collapsed": false, "input": [ "M.trace('alpha')[:]" ], "language": "python", "metadata": { "slideshow": { "slide_type": "-" } }, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 21, "text": [ "array([-0.10523308, -0.10523308, 1.04476538, ..., 1.09404241,\n", " 2.48917766, 2.48917766])" ] } ], "prompt_number": 21 }, { "cell_type": "code", "collapsed": false, "input": [ "alpha.trace()" ], "language": "python", "metadata": { "slideshow": { "slide_type": "fragment" } }, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 22, "text": [ "array([-0.10523308, -0.10523308, 1.04476538, ..., 1.09404241,\n", " 2.48917766, 2.48917766])" ] } ], "prompt_number": 22 }, { "cell_type": "code", "collapsed": false, "input": [ "fig = plt.figure(figsize=(8,8))\n", "scatter(alpha.trace(), beta.trace());\n", "xlabel('alpha');\n", "ylabel('beta');" ], "language": "python", "metadata": { "slideshow": { "slide_type": "slide" } }, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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waFEmf/+7JyJLnGLxPI5H8RRnSdRCFEOrViH+9jc3zZqFePxxLx07yprQeKOq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\nqjoVKhT//Tp0CHHvvX7WrTP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tqP9NiCjz+2H0aDsffpg9u+ezz5xcfXVkW2RgVDG76aZk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uR9Dh6PhKKYNG6sEhlpcs89Khs2iI3OnXeqxMbqvPGGl9RUiRIlDOrU0WnUKPfzmZkS69ZZMU0x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\npvDZZ9awmtgXX1gwDMFc371bpW3bILVqBdm3zwqYPPJIiMOH81japimU2HJ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"text": [ "" ] } ], "prompt_number": 23 }, { "cell_type": "code", "collapsed": false, "input": [ "plt.figure(figsize=(8,8))\n", "hist(-alpha.trace()/beta.trace(), 20);\n", "xlabel('LD50');" ], "language": "python", "metadata": { "slideshow": { "slide_type": "slide" } }, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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SopaWFvM6lm54mO9YAnHg3LMhp/C4EhsAAA5R4E7xzBaIB+eeDTmFR4EDAOAQ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\nAgcAwKH/AzM1wtnIobHAAAAAAElFTkSuQmCC\n", "text": [ "" ] } ], "prompt_number": 24 }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "Another way we can do it" ] }, { "cell_type": "code", "collapsed": false, "input": [ "@deterministic\n", "def ld50(a=alpha, b=beta):\n", " return -a/b\n", "\n", "M2 = MCMC([alpha, beta, theta, unicorns, ld50])\n", "M2.sample(10000, 5000)" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ " \r", "[****************100%******************] 10000 of 10000 complete" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "\n" ] } ], "prompt_number": 25 }, { "cell_type": "code", "collapsed": false, "input": [ "fig = plt.figure(figsize=(16,8))\n", "Matplot.plot(ld50, new=False)" ], "language": "python", "metadata": { "slideshow": { "slide_type": "slide" } }, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Plotting ld50\n" ] }, { "metadata": {}, "output_type": "display_data", "png": 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l5EN9REQapIFVoZ7Ui7IfVQ3+LVGS3P5ms6spCJf2SJ0POzqnYJLiWP07FJ2p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\nfF5aWpr69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"text": [ "" ] } ], "prompt_number": 26 }, { "cell_type": "code", "collapsed": false, "input": [ "print \"LD50 using MAP: \", LD50_using_MAP\n", "ld50.summary()" ], "language": "python", "metadata": { "slideshow": { "slide_type": "slide" } }, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "LD50 using MAP: -0.106496557224\n", "\n", "ld50:\n", " \n", "\tMean SD MC Error 95% HPD interval\n", "\t------------------------------------------------------------------\n", "\t-0.105 0.09 0.003 [-0.277 0.086]\n", "\t\n", "\t\n", "\tPosterior quantiles:\n", "\t\n", "\t2.5 25 50 75 97.5\n", "\t |---------------|===============|===============|---------------|\n", "\t-0.273 -0.161 -0.108 -0.056 0.097\n", "\t\n" ] } ], "prompt_number": 27 }, { "cell_type": "code", "collapsed": false, "input": [ "print \"P(LD50 > 0): \", np.sum(ld50.trace() > 0) / float(len(ld50.trace()))" ], "language": "python", "metadata": { "slideshow": { "slide_type": "fragment" } }, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "P(LD50 > 0): 0.097\n" ] } ], "prompt_number": 28 }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "# Other PyMC features\n", "* The Factor class - for modeling of arbitrary constraints (such as $\\alpha > 1$, or $p(\\alpha, \\beta) \\propto e^{-\\|\\alpha - \\beta\\|}$)" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "* modeling of Gaussian processes." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "* Sampling loops can be paused and tuned manually, or saved and restarted later." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "* Traces can be saved to the disk as plain text, Python pickles, SQLite or MySQL database, or hdf5 archives." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "* Several convergence diagnostics are available." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "# AutoCorrelation\n", "Let's go back to the alpha node:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "fig = plt.figure(figsize=(16,8))\n", "Matplot.plot(alpha, new=False)" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Plotting alpha\n" ] }, { "metadata": {}, "output_type": "display_data", "png": 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BALB3q2t5HUAgEMCsWUL/VWwyh+e8eXNx0sgCoGITDjd3o+yaMnxc1QJUxPad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\netE1Nhxpw9K/H5ROsMePHGbUI5z/09ZYNlQ3y2i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xchCaBpvqBkZ2nNGvZ8Ro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\nvmAwGEz04K5du7Ry5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"text": [ "" ] } ], "prompt_number": 29 }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "#High autocorrelations are a sign of a problem\n" ] }, { "cell_type": "code", "collapsed": false, "input": [ "Image(filename='ham-mcmc.png')" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "png": 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1mFJFF6dVq1aEkKtXr/bu3fvhw4cdO3bUuw3SvLtguN7Tq0DoRTqtVlv4LZaRNTlbbeox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smSJTqMuXLlCvxgYxj28uVLmuPkEQgEHh4eDDcTCoUgV83NzQ0+XCwWazsRz394APD8p0rDeOv/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\nzkaMNn379hWGRJqmxU5ZGRkZVatWFYs6CLhw4UJBQcGJEyd27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3jevHlwO2XCQQsKCvQN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Z2+2urq6HDh2SHdbIyEhRLXAPDw9FJp2MjAxWYz6fr0nuCoBUKtV8EMgviFQqNTIyYv5gKvyv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\n14uKigQCgSIf5qqDx+N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j6Azm5uYNLuUhERERnR9MlxAf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\nQRAxMTHbtm0bNmwYpjH+24ULF6ZMmYKy7oyMDFQYFxd38OBBR0fHOXPmXL9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vRs94sFis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aef+vr6TiqxkEikqVOnAhVXKBT29va2tbWtWLFicHDQysqqq6tLJBJFRUUNDQ3x+XwHB4f4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"prompt_number": 30, "text": [ "" ] } ], "prompt_number": 30 }, { "cell_type": "code", "collapsed": false, "input": [ "import pymc as pm\n", "import numpy as np\n", "from numpy.random import randn, rand\n", "\n", "class SliceStep(pm.Gibbs):\n", " \"\"\"\n", " simple slice sampler\n", " \"\"\"\n", " def __init__(self, stochastic, width = 2, maxiter = 1000,\n", " verbose = None, *args, **kwargs):\n", " \"\"\"\n", " Input:\n", " stochastic - stochastic node\n", " width - the initial width of the interval\n", " maxiter - maximum number of iteration allowed for stepping-out and shrinking\n", " \"\"\"\n", " pm.Gibbs.__init__(self, stochastic, verbose=verbose, *args, **kwargs)\n", " self.width = width\n", " self.neval = 0\n", " self.maxiter = maxiter\n", "\n", " def step(self):\n", " stoch = self.stochastic\n", " value = stoch.value\n", "\n", " #sample vertical level\n", " z = self.logp_plus_loglike - np.random.exponential()\n", "\n", " if self.verbose>2:\n", " print self._id + ' current value: %.3f' % value\n", " print self._id + ' sampled vertical level ' + `z`\n", "\n", "\n", " #position an interval at random starting position around the current value\n", " r = self.width * np.random.rand()\n", " xr = value + r\n", " xl = xr - self.width\n", "\n", " if self.verbose>2:\n", " print 'initial interval [%.3f, %.3f]' % (xl, xr)\n", "\n", " #step out to the left\n", " iter = 0\n", " stoch.value = xl\n", " while (self.get_logp() >= z) and (iter < self.maxiter):\n", " xl -= self.width\n", " stoch.value = xl\n", " iter += 1\n", "\n", " assert iter < self.maxiter, \"Step-out procedure failed\"\n", " self.neval += iter\n", "\n", " if self.verbose>2:\n", " print 'after %d iteration interval is [%.3f, %.3f]' % (iter, xl, xr)\n", "\n", " #step out to the right\n", " iter = 0\n", " stoch.value = xr\n", " while (self.get_logp() >= z) and (iter < self.maxiter):\n", " xr += self.width\n", " stoch.value = xr\n", " iter += 1\n", "\n", " assert iter < self.maxiter, \"Step-out procedure failed\"\n", " self.neval += iter\n", " if self.verbose>2:\n", " print 'after %d iteration interval is [%.3f, %.3f]' % (iter, xl, xr)\n", "\n", " #draw a new point from the interval [xl, xr].\n", " xp = rand()*(xr-xl) + xl\n", " stoch.value = xp\n", "\n", " #if the point is outside the interval than shrink it and draw again\n", " iter = 0\n", " while(self.get_logp() < z) and (iter < self.maxiter):\n", " if (xp > value):\n", " xr = xp\n", " else:\n", " xl = xp\n", " xp = rand() * (xr-xl) + xl #draw again\n", " stoch.value = xp\n", " iter += 1\n", "\n", " assert iter < self.maxiter, \"Shrink-in procedure failed.\"\n", " self.neval += iter\n", " if self.verbose>2:\n", " print 'after %d iteration found new value: %.3f' % (iter, xp)\n", "\n", "\n", " def get_logp(self):\n", " try:\n", " return self.logp_plus_loglike\n", " except pm.ZeroProbability:\n", " return -np.inf\n" ], "language": "python", "metadata": { "slideshow": { "slide_type": "slide" } }, "outputs": [], "prompt_number": 31 }, { "cell_type": "code", "collapsed": false, "input": [ "\n", "#Set up a new MCMC model\n", "M_slice = MCMC([alpha, beta, theta, ld50])\n", "\n", "#Set up the Slice Step Method (http://en.wikipedia.org/wiki/Slice_sampling)\n", "[M_slice.use_step_method(SliceStep, node) for node in M_slice.stochastics];\n", "\n", "#run MCMC\n", "M_slice.sample(2000)\n", "print\n", "fig = plt.figure(figsize=(16,8))\n", "Matplot.plot(alpha, new=False)" ], "language": "python", "metadata": { "slideshow": { "slide_type": "slide" } }, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ " \r", "[****************100%******************] 2000 of 2000 complete" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "\n", "Plotting alpha\n" ] }, { "metadata": {}, "output_type": "display_data", "png": 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CazcuyLYoBJEQHYMhfOUvO7DiitPwoYnlWZHhqie3o8cfdv0cLV5Zhxeum4eSooI0SZYe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WyMEhERERERke3YGCUiInJQU1MTDh486HQY0mLOKLkJc0btwZjFwZxRIiIiBy1cuBBvvfUWfve7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\n66+/jsLCQu0b1KqqK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"text": [ "" ] } ], "prompt_number": 32 }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "# The future is here - PyMC3\n", "## Being Developed by John Salvatier and Chris Fonnesbeck\n", "\n", "* Complete rewrite of the code base\n", "* change of syntax\n", "* relaying on Theano\n", "* Much better steping methods (e.g. NUTS)\n" ] }, { "cell_type": "code", "collapsed": false, "input": [ "Image(filename='comparison.png', width=800)" ], "language": "python", "metadata": { "slideshow": { "slide_type": "slide" } }, "outputs": [ { "metadata": { "png": { "width": 800 } }, "output_type": "pyout", "png": 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3STcqOYikCB/0WhU5JQ1sOFBGk9mKxWrjorExeBvUbMusoLLu5A1yPtVJAC2E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\nQV5eHhfOR3EhKoq6BWPs7jS97uvDtWtXWTD/T7re283isR4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TOnXqcvr0KeLjLrFo6So6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axcsYzkpCTq1qtP9x69bD5G37B+LX369ickNJSMjCv88vOPBAUH88KIlwH464/f2LRxPU8+9SzN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\n02dlvprCdOj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"prompt_number": 33, "text": [ "" ] } ], "prompt_number": 33 }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "# Some Refrences\n", "\n", "## This notebook:\n", "https://github.com/isofer/Bayesian-data-analysis-with-PyMC2.git\n", "\n", "## PyMC\n", "* A good place to start learning about Pymc is the user guide. \n", "http://pymc-devs.github.io/pymc/\n", "\n", "\n", "* a nice IPython notebook introductory can be found in the 2nd chapter of *Probabilistic Programming & Bayesian. Methods for Hackers*\n", "http://camdavidsonpilon.github.io/Probabilistic-Programming-and-Bayesian-Methods-for-Hackers/\n", "\n", "## MCMC\n", "* Check out the 3rd chapter of *Probabilistic Programming & Bayesian Methods for Hackers*\n", "\n", "## Others\n", "* Stan - http://mc-stan.org/\n", "* PyMC3 - https://github.com/pymc-devs/pymc/tree/pymc3\n", "* Another sampler which I heard gooed thing about - http://dan.iel.fm/emcee/" ] } ], "metadata": {} } ] }