{ "cells": [ { "cell_type": "code", "execution_count": 20, "metadata": { "collapsed": false }, "outputs": [], "source": [ "import pymc as pm\n", "import matplotlib.pyplot as plt\n", "import matplotlib as mlp\n", "import numpy as np\n", "import pandas as pd\n", "\n", "%matplotlib inline" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This example is taken from https://en.wikipedia.org/wiki/Bayesian_network#Example and the code adapted from: http://bugra.github.io/work/notes/2014-05-23/simple-bayesian-network-via-monte-carlo-markov-chain-mcmc-pymc/" ] }, { "cell_type": "code", "execution_count": 21, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "" ], "text/plain": [ "" ] }, "execution_count": 21, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from IPython.display import Image\n", "Image(url='http://upload.wikimedia.org/wikipedia/commons/0/0e/SimpleBayesNet.svg')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "As anonymous functions (like #+1 & in Mathematica), lambda functions in Python provide useful, but limited functional programming. They are used below to define the deterministic relations within a pymc graph." ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": false }, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": 22, "metadata": { "collapsed": false }, "outputs": [], "source": [ "# Initialization\n", "observed_values = [1.]\n", "\n", "rain = pm.Bernoulli('rain', .2, value=np.ones(len(observed_values)))\n", "\n", "\n", "#Deterministic\n", "p_sprinkler = pm.Lambda('p_sprinkler', lambda rain=rain: np.where(rain, .01, .4))\n", "\n", "# \"Real\" sprinkler varible\n", "sprinkler = pm.Bernoulli('sprinkler', p_sprinkler, value=np.ones(len(observed_values)))\n", "\n", "p_grass_wet = \\\n", "pm.Lambda('p_grass_wet', lambda sprinkler=sprinkler, rain=rain: np.where(sprinkler, np.where(rain, .99, .9), \n", " np.where(rain, .8, 0.0)))\n", "grass_wet = pm.Bernoulli('grass_wet', p_grass_wet, value=observed_values, observed=True)\n", "\n", "model = pm.Model([grass_wet, p_grass_wet, sprinkler, p_sprinkler, rain])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "You can confirm that the lambda functions are current with:" ] }, { "cell_type": "code", "execution_count": 23, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "(array(0.0), array(0.8), array(0.9), array(0.99))\n" ] } ], "source": [ "g = lambda sprinkler=sprinkler, rain=rain: np.where(sprinkler, np.where(rain, .99, .9), np.where(rain, .8, 0.0))\n", "print(g(0,0),g(0,1),g(1,0),g(1,1))" ] }, { "cell_type": "code", "execution_count": 24, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " [-----------------100%-----------------] 10000 of 10000 complete in 1.8 sec" ] } ], "source": [ "mcmc = pm.MCMC(model)\n", "mcmc.sample(10000, 2000,2)" ] }, { "cell_type": "code", "execution_count": 25, "metadata": { "collapsed": false }, "outputs": [], "source": [ "trace_r = mcmc.trace('rain')[:]\n", "trace_p_sprinkler = mcmc.trace('p_sprinkler')[:]\n", "trace_sprinkler = mcmc.trace('sprinkler')[:]\n", "trace_p_grass_wet = mcmc.trace('p_grass_wet')[:]" ] }, { "cell_type": "code", "execution_count": 26, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "(4000, 1)" ] }, "execution_count": 26, "metadata": {}, "output_type": "execute_result" } ], "source": [ "np.shape(trace_sprinkler)" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": true }, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": 27, "metadata": { "collapsed": false }, "outputs": [], "source": [ "trace_p_grass_wet = mcmc.trace('p_grass_wet')[:]" ] }, { "cell_type": "code", "execution_count": 28, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Plotting p_sprinkler_0\n", "Plotting sprinkler_0\n", "Plotting rain_0\n", "Plotting p_grass_wet_0\n" ] }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAA08AAAH/CAYAAACPa+ZGAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\noJhAtKMAAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAA0EAAAH/CAYAAACRotb1AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAA0EAAAH/CAYAAACRotb1AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAz8AAAH/CAYAAAB5ImPeAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nrkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "pm.Matplot.plot(mcmc)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Define a dictionary, and use pands to set up a data structure where you can now query the model." ] }, { "cell_type": "code", "execution_count": 29, "metadata": { "collapsed": false }, "outputs": [], "source": [ "dictionary = {\n", " 'Rain': [1 if ii[0] else 0 for ii in trace_r.tolist() ],\n", " 'Sprinkler': [1 if ii[0] else 0 for ii in trace_sprinkler.tolist() ],\n", " 'Sprinkler Probability': [ii[0] for ii in trace_p_sprinkler.tolist()],\n", " 'Grass Wet': [ii[0] for ii in trace_p_grass_wet.tolist()],\n", " }\n", "df = pd.DataFrame(dictionary)\n", "df.head()" ] }, { "cell_type": "code", "execution_count": 30, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "0.38125\n" ] } ], "source": [ "#Given grass is wet, what is the probability that it rained?\n", "\n", "p_rain_wet = float(df[(df['Rain'] == 1) & (df['Grass Wet'] > 0.5)].shape[0]) / df[df['Grass Wet'] > 0.5].shape[0] \n", "print(p_rain_wet)" ] }, { "cell_type": "raw", "metadata": {}, "source": [] }, { "cell_type": "code", "execution_count": 17, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "0.623\n" ] } ], "source": [ "#Given grass is wet, what is the probability that sprinkler was opened?\n", "p_sprinkler_wet = float(df[df['Sprinkler'] == 1].shape[0]) / df[df['Grass Wet'] > 0.5].shape[0] \n", "print(p_sprinkler_wet)" ] }, { "cell_type": "code", "execution_count": 18, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "0.0\n" ] } ], "source": [ "#Is the grass wet if no rain and no sprinkler?\n", "\n", "p_not_sprinkler_rain_wet = float(df[(df['Sprinkler'] == 0) & (df['Rain'] == 0)].shape[0]) / df[df['Grass Wet'] > 0.5].shape[0] \n", "print(p_not_sprinkler_rain_wet)" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": true }, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": 19, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAbUAAAIrCAYAAABoLgdzAAAABmJLR0QA/wD/AP+gvaeTAAAgAElE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\nGGOK8P8AtsUFVAlGewoAAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "execution_count": 19, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from IPython.display import Image\n", "\n", "#The ellipses are random variables. The triangles represent deterministic functions.\n", "\n", "\n", "pm.graph.dag(pm.MCMC(model)).write_png('dag.png')\n", "Image('dag.png')" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": true }, "outputs": [], "source": [] } ], "metadata": { "anaconda-cloud": {}, "kernelspec": { "display_name": "Python [conda env:pymc2]", "language": "python", "name": "conda-env-pymc2-py" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 2 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython2", "version": "2.7.12" } }, "nbformat": 4, "nbformat_minor": 1 }