{ "metadata": { "name": "", "signature": "sha256:b057b193a82e89f46a391e386319be7533f6fb9df601055c519414d5dd1bc89d" }, "nbformat": 3, "nbformat_minor": 0, "worksheets": [ { "cells": [ { "cell_type": "heading", "level": 1, "metadata": {}, "source": [ "Metropolis-Hastings sampler" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The MH code is basically directly copied from code made available by Chris Fonnesbeck. I'm just using it to learn. I adapated the example he used to work with my own model to infer the mean and precision of some data.\n", "\n", "Resources used:\n", "\n", "* Talk by Chris Fonnesbeck https://www.youtube.com/watch?v=vOBB_ycQ0RA (MCMC starts around 1hr 28m)\n", "* The corresponding IPython notebooks https://github.com/fonnesbeck/scipy2014_tutorial. In particular this one, http://nbviewer.ipython.org/github/fonnesbeck/scipy2014_tutorial/blob/master/2_Markov-Chain-Monte-Carlo.ipynb" ] }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Define a probabilistic model" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "I am going to do this first with a very simple situation, estimating the mean and variance of some data." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Priors\n", "\n", "$\\mu \\sim Normal(0,\\sigma=1000)$\n", "\n", "$\\tau \\sim Gamma(0.01, 0.01)$\n", "\n", "Likelihood\n", "\n", "$data \\sim Normal(\\mu, tau)$" ] }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Generate some data" ] }, { "cell_type": "code", "collapsed": false, "input": [ "import numpy as np\n", "\n", "true_mean = 2\n", "true_sigma = 1.5\n", "true_tau = 1 / true_sigma**2\n", "print(true_tau)\n", "N = 15\n", "\n", "data = np.random.normal(true_mean, true_sigma, N)" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "0.444444444444\n" ] } ], "prompt_number": 1 }, { "cell_type": "code", "collapsed": false, "input": [ "print(data)" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "[ 0.84416686 1.20806974 3.95816697 2.66058809 3.59166034 1.87905828\n", " 3.04081119 2.70481818 1.77847004 1.5228081 4.13710834 1.68940245\n", " -1.31600811 2.31972634 1.79109786]\n" ] } ], "prompt_number": 2 }, { "cell_type": "code", "collapsed": false, "input": [ "%matplotlib inline\n", "import matplotlib.pyplot as plt\n", "plt.rc('font', family='serif') \n", "plt.rc('font', serif='Times New Roman')\n", "\n", "plt.hist(data);" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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"text": [ "" ] } ], "prompt_number": 3 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Calculate the log posterior for a given set of parameters" ] }, { "cell_type": "code", "collapsed": false, "input": [ "import scipy.stats as sp\n", "\n", "def calc_posterior(mu, tau, x=data):\n", " '''\n", " This is basically the model. This function calculates the log \n", " posterior of a given set of parameters.\n", " '''\n", " # prior for mu\n", " logp = sp.distributions.norm.logpdf(mu, 0, 1000)\n", " # prior for tau\n", " logp += sp.distributions.gamma.logpdf(tau, 0.01, 0.01)\n", " # calculate sigma from tau, needed for likelihood\n", " sigma = (1.0/tau)**0.5\n", " # data likeligood\n", " logp += sum(sp.distributions.norm.logpdf(x, mu, sigma))\n", " return logp" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 4 }, { "cell_type": "markdown", "metadata": {}, "source": [ "For fun, to test this, calculate some log posteriors for some paramer combinations." ] }, { "cell_type": "code", "collapsed": false, "input": [ "print(calc_posterior(mu=-2, tau=1./1**2, x=data))\n", "print(calc_posterior(mu=-1, tau=1./0.5**2, x=data))\n", "print(calc_posterior(mu=1, tau=1./0.1**2)) # don't HAVE to supply data as it's a KWARG\n", "print(calc_posterior(mu=2, tau=1./2**2, x=data))" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "-167.652197482\n", "-365.780793581\n", "-2349.42645371\n", "-38.7401449306\n" ] } ], "prompt_number": 5 }, { "cell_type": "markdown", "metadata": {}, "source": [ "So now we have some working code that calculates the log posterior probability of some parameter combination with the data" ] }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Run the MH algorithm" ] }, { "cell_type": "code", "collapsed": false, "input": [ "rnorm = np.random.normal\n", "runif = np.random.rand" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 6 }, { "cell_type": "code", "collapsed": false, "input": [ "def metropolis(n_iterations, initial_values, prop_var=1):\n", "\n", " n_params = len(initial_values)\n", " \n", " # Initial proposal standard deviations\n", " prop_sd = [prop_var]*n_params\n", " \n", " # Initialize trace for parameters\n", " trace = np.empty((n_iterations+1, n_params))\n", " \n", " # Set initial values\n", " trace[0] = initial_values\n", " \n", " # Calculate joint posterior for initial values\n", " current_log_prob = calc_posterior(*trace[0], x=data)\n", " \n", " # Initialize acceptance counts\n", " accepted = [0]*n_params\n", " \n", " for i in range(n_iterations):\n", " \n", " if not i%1000: print 'Iteration', i\n", " \n", " # Grab current parameter values\n", " current_params = trace[i]\n", " \n", " for j in range(n_params):\n", " \n", " # Get current value for parameter j\n", " p = trace[i].copy()\n", " \n", " # Propose new value\n", " if j==2:\n", " # Ensure tau is positive\n", " theta = np.exp(rnorm(np.log(current_params[j]), prop_sd[j]))\n", " else:\n", " theta = rnorm(current_params[j], prop_sd[j])\n", " \n", " # Insert new value \n", " p[j] = theta\n", " \n", " # Calculate log posterior with proposed value\n", " proposed_log_prob = calc_posterior(*p, x=data)\n", " \n", " # Log-acceptance rate\n", " alpha = proposed_log_prob - current_log_prob\n", " \n", " # Sample a uniform random variate\n", " u = runif()\n", " \n", " # Test proposed value\n", " if np.log(u) < alpha:\n", " # Accept\n", " trace[i+1,j] = theta\n", " current_log_prob = proposed_log_prob\n", " accepted[j] += 1\n", " else:\n", " # Reject\n", " trace[i+1,j] = trace[i,j]\n", " \n", " return trace, accepted" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 7 }, { "cell_type": "code", "collapsed": false, "input": [ "n_iter = 5000\n", "initial_params = (-3,0.2)\n", "trace, acc = metropolis(n_iter, initial_params, prop_var=0.1)" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Iteration 0\n", "Iteration" ] }, { "output_type": "stream", "stream": "stdout", "text": [ " 1000\n", "Iteration" ] }, { "output_type": "stream", "stream": "stdout", "text": [ " 2000\n", "Iteration" ] }, { "output_type": "stream", "stream": "stdout", "text": [ " 3000\n", "Iteration" ] }, { "output_type": "stream", "stream": "stdout", "text": [ " 4000\n" ] } ], "prompt_number": 9 }, { "cell_type": "code", "collapsed": false, "input": [], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 9 }, { "cell_type": "code", "collapsed": false, "input": [ "plt.plot(trace)\n", "plt.axhline(y=true_tau)\n", "plt.axhline(y=true_mean)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 10, "text": [ "" ] }, { "metadata": {}, "output_type": "display_data", "png": 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SPPnYsaO6M6ROwCkqmIQu3VMydwTLCSUrT1ao/VonWula1nYHGN/pPssmVVXHWLu2UadD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\nWbgzDMOUBWVuosnN5Rw0DMMwbohHuuCISEsr6ysyDMNUTsp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"text": [ "" ] } ], "prompt_number": 10 }, { "cell_type": "code", "collapsed": false, "input": [ "plt.figure(figsize=(8,8))\n", "plt.plot(trace[:,0], trace[:,1])\n", "plt.xlabel('$\\mu$')\n", "plt.ylabel('tau')" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 11, "text": [ "" ] }, { "metadata": {}, "output_type": "display_data", "png": 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QTmeqm1rFirr0a82a9uLvKwxqCw60xAkhpAT48EMRydq19Vhiorl+elaWuLTv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\nt9yijxs0kLK7AwbIS9u8ecCUKcDjj4d2hDotcULCiF9/Bd5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AWgvkADjD4za9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"text": [ "" ] } ], "prompt_number": 11 }, { "cell_type": "code", "collapsed": false, "input": [ "plt.figure(1, figsize=(12,6))\n", "\n", "x=np.linspace(-15,15,500)\n", "for i in range(3000):\n", " mu, tau = trace[i,:]\n", " sigma = (1.0/tau)**0.5\n", " plt.plot(x, sp.norm.pdf(x,mu,sigma), alpha=0.01, color='r')\n", "\n", "plt.plot(data, np.zeros(data.shape)\n", " ,'+'\n", " , c='k'\n", " , markersize=20)\n", "#plt.savefig('MH_example.png', bbox_inches='tight')" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 12, "text": [ "[]" ] }, { "metadata": {}, "output_type": "display_data", "png": 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c5bw5Sa/sQy63jUZZ0UZ923AYt3Y7BDI55Mkk3GDq2viJC41LTTyDxXw4w8QyGDxC//Lm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\n9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1Y8V5BM3gLf75S8l+IDjgSQU6R4U5Ff2tcsc5apAcY81sp2JIDp0jc3OLNgJ3VJVBlo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\nehtoUrs8PU0Gpx9nUOcYeeb+xDzDyQ3vh38xPoReR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"text": [ "" ] } ], "prompt_number": 12 }, { "cell_type": "code", "collapsed": false, "input": [], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 11 }, { "cell_type": "code", "collapsed": false, "input": [ "trace.shape" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 13, "text": [ "(5001, 2)" ] } ], "prompt_number": 13 }, { "cell_type": "code", "collapsed": false, "input": [ "trace[:,0]" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 12, "text": [ "array([-3. , -3.02442006, -2.99259942, ..., 1.57084789,\n", " 1.57084789, 1.57084789])" ] } ], "prompt_number": 12 }, { "cell_type": "code", "collapsed": false, "input": [ "mu, tau = trace[1,:]" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 14 }, { "cell_type": "code", "collapsed": false, "input": [ "mu" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 15, "text": [ "-2.9287384801694802" ] } ], "prompt_number": 15 }, { "cell_type": "code", "collapsed": false, "input": [ "tau" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 16, "text": [ "0.20000000000000001" ] } ], "prompt_number": 16 }, { "cell_type": "code", "collapsed": false, "input": [], "language": "python", "metadata": {}, "outputs": [] }, { "cell_type": "code", "collapsed": false, "input": [], "language": "python", "metadata": {}, "outputs": [] }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Experiments running, and plotting multiple chains" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Create a range of initial starting values" ] }, { "cell_type": "code", "collapsed": false, "input": [ "muv, tauv = np.meshgrid(np.linspace(-20, 20, 4), np.linspace(-20, 20, 4))" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 76 }, { "cell_type": "code", "collapsed": false, "input": [], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 68 }, { "cell_type": "code", "collapsed": false, "input": [], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 68 }, { "cell_type": "code", "collapsed": false, "input": [ "def run_chains(muv, tauv, n_iter):\n", " # number of chains decided by number of initial parameters provided\n", " n_chains = muv.size\n", " fig = plt.figure(figsize=(8,8))\n", " for chain in range(n_chains):\n", " print 'chain: ' , chain\n", " intial_params=(muv.flat[chain], tauv.flat[chain])\n", " print intial_params\n", " trace, acc = metropolis(n_iter, initial_params)\n", " \n", " plt.plot(trace[:,0], trace[:,1], alpha=0.5)\n", " \n", " plt.xlabel('$\\mu$')\n", " plt.ylabel('tau')\n", " \n", " plt.axhline(y=true_tau, linewidth=3, c='r', ls='--')\n", " plt.axvline(x=true_mean, linewidth=3, c='r', ls='--')" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 86 }, { "cell_type": "code", "collapsed": false, "input": [ "run_chains(muv, tauv, n_iter=500)" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "chain: 0\n", "(-20.0, -20.0)\n", "Iteration 0\n", "chain: " ] }, { "output_type": "stream", "stream": "stdout", "text": [ " 1\n", "(-6.6666666666666661, -20.0)\n", "Iteration 0\n", "chain: " ] }, { "output_type": "stream", "stream": "stdout", "text": [ " 2\n", "(6.6666666666666679, -20.0)\n", "Iteration 0\n", "chain: " ] }, { "output_type": "stream", "stream": "stdout", "text": [ " 3\n", "(20.0, -20.0)\n", "Iteration 0\n", "chain: " ] }, { "output_type": "stream", "stream": "stdout", "text": [ " 4\n", "(-20.0, -6.6666666666666661)\n", "Iteration 0\n", "chain: " ] }, { "output_type": "stream", "stream": "stdout", "text": [ " 5\n", "(-6.6666666666666661, -6.6666666666666661)\n", "Iteration 0\n", "chain: " ] }, { "output_type": "stream", "stream": 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SLqvXipk0SUVSWN0Tg47X6yWRSBCLxbK617e//e0Lkt5SDQ3sCwR43uWi0pHZ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\nUyOp21RshbuWWrScx3P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