{ "metadata": { "celltoolbar": "Slideshow", "name": "", "signature": "sha256:9233b6176cd481fd5a5e38f1e3ff0cb8df0dfe2298d9d131fdc334289f847bcb" }, "nbformat": 3, "nbformat_minor": 0, "worksheets": [ { "cells": [ { "cell_type": "markdown", "metadata": { "internals": { "slide_type": "subslide" }, "slideshow": { "slide_type": "slide" } }, "source": [ "

Probabilistic Programming in Python


\n", "

Thomas Wiecki

\n", "

@twiecki

\n", "

Quantopian Inc.

\n", "
" ] }, { "cell_type": "code", "collapsed": false, "input": [ "from IPython.display import YouTubeVideo\n", "YouTubeVideo(\"WESld11iNcQ\")" ], "language": "python", "metadata": { "internals": {}, "slideshow": { "slide_type": "slide" } }, "outputs": [ { "html": [ "\n", " \n", " " ], "metadata": {}, "output_type": "pyout", "prompt_number": 65, "text": [ "" ] } ], "prompt_number": 65 }, { "cell_type": "code", "collapsed": false, "input": [ "from IPython.display import Image\n", "import prettyplotlib as ppl\n", "from prettyplotlib import plt\n", "import numpy as np\n", "import scipy as sp\n", "import seaborn as sns\n", "sns.set_context('talk')\n", "from matplotlib import rc\n", "rc('font',**{'family':'sans-serif','sans-serif':['Helvetica'], 'size': 22})\n", "rc('xtick', labelsize=12) \n", "rc('ytick', labelsize=12)\n", "## for Palatino and other serif fonts use:\n", "#rc('font',**{'family':'serif','serif':['Palatino']})\n", "rc('text', usetex=True)\n", "%matplotlib inline\n", "\n", "from IPython.html import widgets # Widget definitions\n", "from IPython.display import display # Used to display widgets in the notebook\n", "from IPython.html.widgets import interact, interactive\n", "from IPython.display import clear_output, display, HTML\n", "\n", "def gen_plot(success=(0, 100), failure=(0, 100)):\n", " alpha = 5 + success\n", " beta = 5 + failure\n", " fig = plt.figure(figsize=(8, 6))\n", " x = np.linspace(0, 1, 100)\n", " ax = fig.add_subplot(111, xlabel='Chance of success (beating the market)', \n", " ylabel='Probability of hypothesis', \n", " title=r'Posterior probability distribution of $\\theta$')\n", " ax.plot(x, sp.stats.beta(alpha, beta).pdf(x), linewidth=3.)\n", " ax.set_xticklabels(['0\\%', '20\\%', '40\\%', '60\\%', '80\\%', '100\\%']);" ], "language": "python", "metadata": { "internals": {}, "slideshow": { "slide_type": "skip" } }, "outputs": [], "prompt_number": 19 }, { "cell_type": "code", "collapsed": false, "input": [ "from IPython.display import Image\n", "import prettyplotlib as ppl\n", "from prettyplotlib import plt\n", "import numpy as np\n", "import scipy as sp\n", "import seaborn as sns\n", "sns.set_context('talk')\n", "from matplotlib import rc\n", "rc('font',**{'family':'sans-serif','sans-serif':['Helvetica'], 'size': 22})\n", "rc('xtick', labelsize=12) \n", "rc('ytick', labelsize=12)\n", "## for Palatino and other serif fonts use:\n", "#rc('font',**{'family':'serif','serif':['Palatino']})\n", "rc('text', usetex=True)\n", "%matplotlib inline\n", "\n", "from IPython.html import widgets # Widget definitions\n", "from IPython.display import display # Used to display widgets in the notebook\n", "from IPython.html.widgets import interact, interactive\n", "from IPython.display import clear_output, display, HTML" ], "language": "python", "metadata": { "internals": { "slide_helper": "subslide_end" }, "slide_helper": "slide_end", "slideshow": { "slide_type": "skip" } }, "outputs": [], "prompt_number": 5 }, { "cell_type": "markdown", "metadata": { "internals": { "slide_helper": "subslide_end", "slide_type": "subslide" }, "slide_helper": "slide_end", "slideshow": { "slide_type": "slide" } }, "source": [ "# About me \n", "\n", "* PhD candidate at Brown studying decision making using Bayesian modeling.\n", "* Quantitative Researcher at [Quantopian Inc](https://www.quantopian.com): Building the world's first algorithmic trading platform in the web browser.\n", "\n" ] }, { "cell_type": "markdown", "metadata": { "internals": { "slide_helper": "subslide_end", "slide_type": "subslide" }, "slide_helper": "slide_end", "slideshow": { "slide_type": "slide" } }, "source": [ "# Why should you care about Probabilistic Programming?" ] }, { "cell_type": "markdown", "metadata": { "internals": { "slide_helper": "subslide_end", "slide_type": "subslide" }, "slide_helper": "slide_end", "slideshow": { "slide_type": "slide" } }, "source": [ "\n", "Source: Olivier Grisel's talk on ML" ] }, { "cell_type": "markdown", "metadata": { "internals": { "slide_helper": "subslide_end", "slide_type": "subslide" }, "slide_helper": "slide_end", "slideshow": { "slide_type": "slide" } }, "source": [ "\n", "Source: Olivier Grisel's talk on ML" ] }, { "cell_type": "markdown", "metadata": { "internals": { "slide_helper": "subslide_end", "slide_type": "subslide" }, "slide_helper": "slide_end", "slideshow": { "slide_type": "slide" } }, "source": [ "# Motivating Example -- A/B testing\n", "\n", " * Split users into two groups that experience different versions of your website.\n", " * Measure conversion rate (e.g. click-through rate).\n", " * Simple question: Which one does better?\n", " \n", "# Same problem: two trading strategies -- which one has a higher chance of beating the market?" ] }, { "cell_type": "markdown", "metadata": { "internals": { "slide_type": "subslide" }, "slideshow": { "slide_type": "slide" } }, "source": [ "# Data might look like this" ] }, { "cell_type": "code", "collapsed": false, "input": [ "from IPython.display import Image\n", "import prettyplotlib as ppl\n", "from prettyplotlib import plt\n", "import numpy as np\n", "import scipy as sp\n", "import seaborn as sns\n", "sns.set_context('talk')\n", "from matplotlib import rc\n", "rc('font',**{'family':'sans-serif','sans-serif':['Helvetica'], 'size': 22})\n", "rc('xtick', labelsize=12) \n", "rc('ytick', labelsize=12)\n", "## for Palatino and other serif fonts use:\n", "#rc('font',**{'family':'serif','serif':['Palatino']})\n", "rc('text', usetex=True)\n", "%matplotlib inline\n", "\n", "from IPython.html import widgets # Widget definitions\n", "from IPython.display import display # Used to display widgets in the notebook\n", "from IPython.html.widgets import interact, interactive\n", "from IPython.display import clear_output, display, HTML" ], "language": "python", "metadata": { "internals": {}, "slideshow": { "slide_type": "skip" } }, "outputs": [], "prompt_number": 38 }, { "cell_type": "code", "collapsed": false, "input": [ "np.random.seed(9)\n", "algo_a = sp.stats.bernoulli(.5).rvs(10) # 10 samples from 50% chance of beating the market\n", "algo_b = sp.stats.bernoulli(.6).rvs(10) # 10 samples from 60% chance of beating the market\n", "\n", "print 'Beat the market algo A: ', algo_a\n", "print 'Beat the market algo B: ', algo_b" ], "language": "python", "metadata": { "internals": { "slide_helper": "subslide_end" }, "slide_helper": "slide_end", "slideshow": { "slide_type": "-" } }, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Beat the market algo A: [0 1 0 0 0 0 0 0 0 0]\n", "Beat the market algo B: [1 0 0 1 0 1 0 0 1 0]\n" ] } ], "prompt_number": 62 }, { "cell_type": "markdown", "metadata": { "internals": { "frag_helper": "fragment_end", "frag_number": 10, "slide_helper": "subslide_end", "slide_type": "subslide" }, "slide_helper": "slide_end", "slideshow": { "slide_type": "slide" } }, "source": [ "# The simplest answer\n", "\n", " * Take the mean.\n", " * This is equivalent to the maximum likelihood estimate, so statistically not a bad idea." ] }, { "cell_type": "code", "collapsed": false, "input": [ "print 'Probability algo A beating the market = %.0f%%' \n", "% (np.mean(algo_a) * 100)\n", "print 'Probability algo B beating the market = %.0f%%' \n", "% (np.mean(algo_b) * 100)" ], "language": "python", "metadata": { "internals": { "frag_helper": "fragment_end", "frag_number": 10, "slide_helper": "subslide_end", "slide_type": "subslide" }, "slide_helper": "slide_end", "slideshow": { "slide_type": "slide" } }, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Probability algo A beating the market = 10%\n", "Probability algo B beating the market = 40%\n" ] } ], "prompt_number": 212 }, { "cell_type": "markdown", "metadata": { "internals": { "frag_helper": "fragment_end", "frag_number": 10, "slide_helper": "subslide_end", "slide_type": "subslide" }, "slide_helper": "slide_end", "slideshow": { "slide_type": "slide" } }, "source": [ "### How to decide which one is better?\n", "\n", " * Run a frequentist statistical test!\n", " * Returns a p-value that indicates probability of observing this data by chance.\n", " \n", "### What if we get more data?\n", "\n", " * Run another statistical test!" ] }, { "cell_type": "code", "collapsed": false, "input": [ "def run_exp():\n", " # Generate 50 random binary variables with probability = 0.5\n", " test_a = sp.stats.bernoulli(.5).rvs(50)\n", " test_b = sp.stats.bernoulli(.5).rvs(50)\n", "\n", " for i in range(2, 50):\n", " # Run statistical t-test\n", " _, p = sp.stats.ttest_ind(test_a[:i], test_b[:i])\n", " if p < 0.05:\n", " return True\n", " \n", " return False\n", "\n", "p_sign_result = np.mean([run_exp() for i in range(1000)])\n", "\n", "print 'Probability of getting significant result even though no\\n difference exists = %.2f%%' % (p_sign_result * 100)" ], "language": "python", "metadata": { "internals": { "frag_helper": "fragment_end", "frag_number": 10, "slide_helper": "subslide_end", "slide_type": "subslide" }, "slide_helper": "slide_end", "slideshow": { "slide_type": "slide" } }, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Probability of getting significant result even though no\n", " difference exists = 36.60%\n" ] } ], "prompt_number": 63 }, { "cell_type": "markdown", "metadata": { "internals": { "frag_helper": "fragment_end", "frag_number": 10, "slide_helper": "subslide_end", "slide_type": "subslide" }, "slide_helper": "slide_end", "slideshow": { "slide_type": "slide" } }, "source": [ "## The problem with frequentist statistics:\n", "\n", "## Dependent on your intentions of collecting the data!" ] }, { "cell_type": "markdown", "metadata": { "internals": { "frag_helper": "fragment_end", "frag_number": 10, "slide_helper": "subslide_end", "slide_type": "subslide" }, "slide_helper": "slide_end", "slideshow": { "slide_type": "slide" } }, "source": [ "# What is Bayesian statistics?\n", "\n", " * At the core: formula to update our beliefs after having observed data (Bayes formula)\n", " * Implies that we have a *prior* belief about the world.\n", " * Updated beliefs after observing data is called *posterior*.\n", " * Beliefs are represented using *random variables*.\n", " \n", "" ] }, { "cell_type": "markdown", "metadata": { "internals": { "frag_helper": "fragment_end", "frag_number": 10, "slide_type": "subslide" }, "slideshow": { "slide_type": "slide" } }, "source": [ "# Let's define a prior for our random variable $\\theta$" ] }, { "cell_type": "code", "collapsed": false, "input": [ "def gen_plot(successes=(0, 100, 1), failures=(0, 100, 1)):\n", " alpha_prior=5\n", " beta_prior=5\n", " if successes == 0 and failures == 0:\n", " title = r'Prior probability distribution on $\\theta$'\n", " else:\n", " title = r'Posterior probability distribution of $\\theta$ after having seen data'\n", " \n", " alpha = alpha_prior + successes\n", " beta = beta_prior + failures\n", " x = np.linspace(0, 1, 201)\n", " fig = plt.figure(figsize=(8, 6))\n", " ax = fig.add_subplot(111, xlabel=r'Chance of success (profit or conversion)', \n", " ylabel=r'Probability',\n", " title=title)\n", " ax.plot(x, sp.stats.beta(alpha, beta).pdf(x), linewidth=3.)\n", " ax.set_xticklabels([r'0\\%', r'20\\%', r'40\\%', r'60\\%', r'80\\%', r'100\\%']);\n", " \n", " return" ], "language": "python", "metadata": { "internals": { "frag_helper": "fragment_end", "frag_number": 10 }, "slideshow": { "slide_type": "skip" } }, "outputs": [], "prompt_number": 183 }, { "cell_type": "code", "collapsed": false, "input": [ "def gen_plot(success=(0, 100), failure=(0, 100)):\n", " alpha = 5 + success\n", " beta = 5 + success\n", " fig = plt.figure(figsize=(8, 6))\n", " x = np.linspace(0, 1, 100)\n", " ax = fig.add_subplot(111, xlabel='Chance of success (beating the market)', \n", " ylabel='Probability of hypothesis', \n", " title=r'Posterior probability distribution of $\\theta$')\n", " ax.plot(x, sp.stats.beta(alpha, beta).pdf(x), linewidth=3.)\n", " ax.set_xticklabels(['0\\%', '20\\%', '40\\%', '60\\%', '80\\%', '100\\%']);" ], "language": "python", "metadata": { "internals": { "frag_helper": "fragment_end", "frag_number": 10 }, "slideshow": { "slide_type": "-" } }, "outputs": [], "prompt_number": 15 }, { "cell_type": "code", "collapsed": false, "input": [ "gen_plot(0, 0)" ], "language": "python", "metadata": { "internals": { "frag_helper": "fragment_end", "frag_number": 21, "slide_helper": "subslide_end" }, "slide_helper": "slide_end", "slideshow": { "slide_type": "fragment" } }, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": "iVBORw0KGgoAAAANSUhEUgAAAgYAAAGUCAYAAABOeep1AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nTkSuQmCC\n", "text": [ "" ] } ], "prompt_number": 16 }, { "cell_type": "code", "collapsed": false, "input": [ "interactive(gen_plot)" ], "language": "python", "metadata": { "internals": { "frag_helper": "fragment_end", "frag_number": 21, "slide_helper": "subslide_end", "slide_type": "subslide" }, "slide_helper": "slide_end", "slideshow": { "slide_type": "slide" } }, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": "iVBORw0KGgoAAAANSUhEUgAAAgMAAAGUCAYAAACoUCExAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nP79vAAAAAElFTkSuQmCC\n", "text": [ "" ] } ], "prompt_number": 64 }, { "cell_type": "markdown", "metadata": { "internals": { "frag_helper": "fragment_end", "frag_number": 21, "slide_helper": "subslide_end", "slide_type": "subslide" }, "slide_helper": "slide_end", "slideshow": { "slide_type": "slide" } }, "source": [ "# Where's the catch?\n", "" ] }, { "cell_type": "markdown", "metadata": { "internals": { "frag_helper": "fragment_end", "frag_number": 21, "slide_helper": "subslide_end", "slide_type": "subslide" }, "slide_helper": "slide_end", "slideshow": { "slide_type": "slide" } }, "source": [ "\n", "\n", "In most interesting cases, we can't solve what is inside the Bayesian box." ] }, { "cell_type": "markdown", "metadata": { "internals": { "frag_helper": "fragment_end", "frag_number": 21, "slide_type": "subslide" }, "slideshow": { "slide_type": "slide" } }, "source": [ "# Probabilistic Programming\n", "\n", "* If we can't solve something, **approximate** it.\n", "* Markov-Chain Monte Carlo (MCMC) instead draws **samples** from the posterior.\n", "* Fortunately, this algorithm can be applied to almost any model." ] }, { "cell_type": "code", "collapsed": false, "input": [ "def plot_approx():\n", " from scipy import stats\n", " fig = ppl.plt.figure(figsize=(14, 6))\n", " x_plot = np.linspace(0, 1, 200)\n", " ax1 = fig.add_subplot(121, title='What we want', ylim=(0, 2.5))# , xlabel=r'$\\theta$', ylabel=r'$P(\\theta)$')\n", " ppl.plot(ax1, x_plot, stats.beta(4, 4).pdf(x_plot), linewidth=4.)\n", " ax2 = fig.add_subplot(122, title='What we get', xlim=(0, 1), ylim=(0, 2300))#, xlabel=r'\\theta', ylabel='\\# of samples')\n", " ax2.hist(stats.beta(4, 4).rvs(20000), bins=20);" ], "language": "python", "metadata": { "internals": { "frag_helper": "fragment_end", "frag_number": 21, "slide_helper": "subslide_end" }, "slide_helper": "slide_end", "slideshow": { "slide_type": "skip" } }, "outputs": [], "prompt_number": 143 }, { "cell_type": "markdown", "metadata": { "internals": { "frag_helper": "fragment_end", "frag_number": 21, "slide_type": "subslide" }, "slideshow": { "slide_type": "slide" } }, "source": [ "## Approximating the posterior with MCMC sampling" ] }, { "cell_type": "code", "collapsed": false, "input": [ "plot_approx()" ], "language": "python", "metadata": { "internals": { "frag_helper": "fragment_end", "frag_number": 28, "slide_helper": "subslide_end" }, "slide_helper": "slide_end", "slideshow": { "slide_type": "fragment" } }, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": "iVBORw0KGgoAAAANSUhEUgAAAzsAAAGBCAYAAABB4a8VAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nAAAAAAAAAAAAAAAA1LT/AbNDlQ0pusvrAAAAAElFTkSuQmCC\n", "text": [ "" ] } ], "prompt_number": 144 }, { "cell_type": "markdown", "metadata": { "internals": { "frag_helper": "fragment_end", "frag_number": 28, "slide_helper": "subslide_end", "slide_type": "subslide" }, "slide_helper": "slide_end", "slideshow": { "slide_type": "slide" } }, "source": [ "PyMC3\n", "=====\n", "\n", "* Probabilistic Programming framework written in Python.\n", "* Allows for construction of probabilistic models using intuitive syntax.\n", "* Features advanced MCMC samplers.\n", "* Just-in-time compiled by Theano.\n", "* **Extensible**: easily incorporates custom MCMC algorithms and unusual probability distributions.\n", "* Written by: John Salvatier, Chris Fonnesbeck, Thomas Wiecki\n", "* Currently still in alpha (few bugs but mainly missing docs)." ] }, { "cell_type": "markdown", "metadata": { "internals": { "frag_helper": "fragment_end", "frag_number": 28, "slide_helper": "subslide_end", "slide_type": "subslide" }, "slide_helper": "slide_end", "slideshow": { "slide_type": "slide" } }, "source": [ "## Some necessary formalism:\n", "\n", "$\\theta_a \\sim Beta(5, 5)$\n", "\n", "$\\theta_b \\sim Beta(5, 5)$\n", "\n", "$data_a \\sim Bernoulli(\\theta_a)$\n", "\n", "$data_b \\sim Bernoulli(\\theta_b)$\n", "\n", "* $\\theta$ represents the unkown cause we want to infer, but can't observe directly.\n", "* We write a *generative* story of how this unknown cause relates to observable data.\n", "* Use Bayes to *invert* this generative story and infer *hidden causes* from *observations* -- updating our beliefs about $\\theta$." ] }, { "cell_type": "code", "collapsed": false, "input": [ "np.random.seed(9)\n", "algo_a = sp.stats.bernoulli(.5).rvs(300) # 50% profitable days\n", "algo_b = sp.stats.bernoulli(.6).rvs(300) # 60% profitable days" ], "language": "python", "metadata": { "internals": { "frag_helper": "fragment_end", "frag_number": 28, "slide_helper": "subslide_end", "slide_type": "subslide" }, "slide_helper": "slide_end", "slideshow": { "slide_type": "slide" } }, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Chance of beating the market algo A: 0.493333333333\n", "Chance of beating the market algo B: 0.6\n" ] } ], "prompt_number": 206 }, { "cell_type": "code", "collapsed": false, "input": [ "import pymc as pm\n", "model = pm.Model()\n", "with model: # model specifications in PyMC3 are wrapped in a with-statement\n", " # Define random variables\n", " theta_a = pm.Beta('theta_a', alpha=5, beta=5) # prior\n", " theta_b = pm.Beta('theta_b', alpha=5, beta=5) # prior\n", " \n", " # Define how data relates to unknown causes\n", " data_a = pm.Bernoulli('observed A',\n", " p=theta_a, \n", " observed=algo_a)\n", " \n", " data_b = pm.Bernoulli('observed B', \n", " p=theta_b, \n", " observed=algo_b)\n", " \n", " # Inference!\n", " start = pm.find_MAP() # Find good starting point\n", " step = pm.Slice() # Instantiate MCMC sampling algorithm\n", " trace = pm.sample(10000, step, start=start, progressbar=False) # draw posterior samples using slice sampling " ], "language": "python", "metadata": { "internals": { "frag_helper": "fragment_end", "frag_number": 28, "slide_helper": "subslide_end", "slide_type": "subslide" }, "slide_helper": "slide_end", "slideshow": { "slide_type": "slide" } }, "outputs": [], "prompt_number": 207 }, { "cell_type": "code", "collapsed": false, "input": [ "sns.distplot(trace['theta_a'], label=r'$\\theta_a$')\n", "sns.distplot(trace['theta_b'], label=r'$\\theta_b$')\n", "plt.title('Posteriors')\n", "plt.legend()" ], "language": "python", "metadata": { "internals": { "frag_helper": "fragment_end", "frag_number": 28, "slide_helper": "subslide_end", "slide_type": "subslide" }, "slide_helper": "slide_end", "slideshow": { "slide_type": "slide" } }, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 209, "text": [ "" ] }, { "metadata": {}, "output_type": "display_data", "png": "iVBORw0KGgoAAAANSUhEUgAAAXwAAAERCAYAAAB4jRxOAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n", "text": [ "" ] } ], "prompt_number": 209 }, { "cell_type": "markdown", "metadata": { "internals": { "frag_helper": "fragment_end", "frag_number": 28, "slide_type": "subslide" }, "slideshow": { "slide_type": "slide" } }, "source": [ "## Hypothesis testing is trivial" ] }, { "cell_type": "code", "collapsed": false, "input": [ "p_b_better_than_a = np.mean(trace['theta_a'] < trace['theta_b'])\n", "print 'Probability that algo B is better than A = %.2f%%' % (p_b_better_than_a * 100)" ], "language": "python", "metadata": { "internals": { "frag_helper": "fragment_end", "frag_number": 35, "slide_helper": "subslide_end" }, "slide_helper": "slide_end", "slideshow": { "slide_type": "fragment" } }, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Probability that algo B is better than A = 99.11%\n" ] } ], "prompt_number": 208 }, { "cell_type": "markdown", "metadata": { "internals": { "frag_helper": "fragment_end", "frag_number": 35, "slide_helper": "subslide_end", "slide_type": "subslide" }, "slide_helper": "slide_end", "slideshow": { "slide_type": "slide" } }, "source": [ "# Advanced example -- hierarchical models\n", "\n", " * Consider that instead of 2 algorithms, we have 20.\n", " * Before we considered that $\\theta_a$ and $\\theta_b$ are completely independent.\n", " * In reality, while they will probably be different, they will also have similarities.\n", " * We can use *hierarchical modeling* to infer individual algorithms, but also their group distribution." ] }, { "cell_type": "markdown", "metadata": { "internals": { "frag_helper": "fragment_end", "frag_number": 35, "slide_helper": "subslide_end", "slide_type": "subslide" }, "slide_helper": "slide_end", "slideshow": { "slide_type": "slide" } }, "source": [ "# Unpooled\n", "![unpooled](http://f.cl.ly/items/38020n2t2Y2b1p3t0B0e/Screen%20Shot%202013-10-10%20at%208.23.36%20AM.png)" ] }, { "cell_type": "markdown", "metadata": { "internals": { "frag_helper": "fragment_end", "frag_number": 35, "slide_helper": "subslide_end", "slide_type": "subslide" }, "slide_helper": "slide_end", "slideshow": { "slide_type": "slide" } }, "source": [ "# Pooled\n", "![pooled](http://f.cl.ly/items/0R1W063h1h0W2M2C0S3M/Screen%20Shot%202013-10-10%20at%208.22.21%20AM.png)\n" ] }, { "cell_type": "markdown", "metadata": { "internals": { "frag_helper": "fragment_end", "frag_number": 35, "slide_helper": "subslide_end", "slide_type": "subslide" }, "slide_helper": "slide_end", "slideshow": { "slide_type": "slide" } }, "source": [ "# Partially pooled -- hierarchical\n", "![hierarchical](http://f.cl.ly/items/1B3U223i002y3V2W3r0W/Screen%20Shot%202013-10-10%20at%208.25.05%20AM.png)" ] }, { "cell_type": "code", "collapsed": false, "input": [ "np.random.seed(9)\n", "algos = []\n", "algos_idx = []\n", "samples = 300\n", "for i, p_algo in enumerate(sp.stats.beta(10, 10).rvs(20)):\n", " algos.append(sp.stats.bernoulli(p_algo).rvs(samples))\n", " algos_idx.append(np.ones(samples) * i)\n", " \n", "algos = np.asarray(algos)\n", "algos_idx = np.asarray(algos_idx, dtype=np.int)\n", "print algos.shape\n", "print algos\n", "print algos_idx" ], "language": "python", "metadata": { "internals": { "frag_helper": "fragment_end", "frag_number": 35, "slide_helper": "subslide_end", "slide_type": "subslide" }, "slide_helper": "slide_end", "slideshow": { "slide_type": "slide" } }, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "(20, 300)\n", "[[0 1 1 ..., 1 0 0]\n", " [0 1 1 ..., 0 1 0]\n", " [1 1 1 ..., 1 1 1]\n", " ..., \n", " [1 0 0 ..., 1 0 1]\n", " [0 1 1 ..., 0 0 0]\n", " [1 1 0 ..., 0 1 0]]\n", "[[ 0 0 0 ..., 0 0 0]\n", " [ 1 1 1 ..., 1 1 1]\n", " [ 2 2 2 ..., 2 2 2]\n", " ..., \n", " [17 17 17 ..., 17 17 17]\n", " [18 18 18 ..., 18 18 18]\n", " [19 19 19 ..., 19 19 19]]\n" ] } ], "prompt_number": 247 }, { "cell_type": "code", "collapsed": false, "input": [ "with pm.Model() as model: # model specifications in PyMC3 are wrapped in a with-statement\n", " # Define random variables\n", " grp_mean = pm.Beta('grp mean', alpha=2, beta=2) # prior\n", " grp_scale = pm.Gamma('grp scale', alpha=1, beta=10./10**2) # prior\n", " \n", " # Transform\n", " alpha = grp_mean * grp_scale\n", " beta = (1 - grp_mean) * grp_scale\n", " \n", " # Individual random variables, vector of lenght 20\n", " theta = pm.Beta('theta', alpha=alpha, beta=beta, shape=20)\n", " \n", " # Define how data relates to unknown causes\n", " data = pm.Bernoulli('observed',\n", " p=theta[algos_idx],\n", " observed=algos)\n", " \n", " # Inference!\n", " start = pm.find_MAP() # Find good starting point\n", " step = pm.NUTS (scaling=start) # Instantiate MCMC sampling algorithm\n", " trace = pm.sample(10000, step, start=start, progressbar=False)[:2000] # draw posterior samples using slice sampling" ], "language": "python", "metadata": { "internals": { "frag_helper": "fragment_end", "frag_number": 35, "slide_helper": "subslide_end", "slide_type": "subslide" }, "slide_helper": "slide_end", "slideshow": { "slide_type": "slide" } }, "outputs": [], "prompt_number": 248 }, { "cell_type": "code", "collapsed": false, "input": [ "pm.traceplot(trace);" ], "language": "python", "metadata": { "internals": { "frag_helper": "fragment_end", "frag_number": 35, "slide_helper": "subslide_end", "slide_type": "subslide" }, "slide_helper": "slide_end", "slideshow": { "slide_type": "slide" } }, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": "iVBORw0KGgoAAAANSUhEUgAAA1gAAAGoCAYAAABbkkSYAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nxMTExMTExMTExMTExGSJ8P8DmmtJEfb4I08AAAAASUVORK5CYII=\n", "text": [ "" ] } ], "prompt_number": 249 }, { "cell_type": "markdown", "metadata": { "internals": { "frag_helper": "fragment_end", "frag_number": 35, "slide_helper": "subslide_end", "slide_type": "subslide" }, "slide_helper": "slide_end", "slideshow": { "slide_type": "slide" } }, "source": [ "Conclusions\n", "===========\n", "\n", "* **Probabilistic Programming** allows you to tell a **genarative story**.\n", "* **Blackbox inference algorithms** allow estimation of **complex models**.\n", "* **PyMC3** puts **advanced samplers** at your fingertips." ] }, { "cell_type": "markdown", "metadata": { "internals": { "frag_helper": "fragment_end", "frag_number": 35, "slide_helper": "subslide_end", "slide_type": "subslide" }, "slide_helper": "slide_end", "slideshow": { "slide_type": "slide" } }, "source": [ "# Outstanding Issues\n", "\n", "Scalability \n", "\n", " - Variational Inference\n", " - see also Max Welling's work for scaling MCMC\n", "\n", "Usability \n", "\n", " - still too difficult to use\n", " - wanted: library on top of PyMC3 with common models" ] }, { "cell_type": "markdown", "metadata": { "internals": { "frag_helper": "fragment_end", "frag_number": 35, "slide_helper": "subslide_end", "slide_type": "subslide" }, "slide_helper": "slide_end", "slideshow": { "slide_type": "slide" } }, "source": [ "# Further reading\n", "\n", "* [Quantopian](https://www.quantopian.com) -- Develop trading algorithms in Python in your browser.\n", "* [My blog on all things Bayesian](https://twiecki.github.io)\n", "* Twitter: [@twiecki](https://twitter.com/twiecki)\n", "* [Probilistic Programming for Hackers](http://camdavidsonpilon.github.io/Probabilistic-Programming-and-Bayesian-Methods-for-Hackers/) -- IPython Notebook book on Bayesian stats using PyMC2.\n", "* [Doing Bayesian Data Analysis](http://www.indiana.edu/~kruschke/DoingBayesianDataAnalysis/) -- Great book by Kruschke.\n", "* [Get PyMC3 alpha](https://github.com/pymc-devs/pymc/tree/pymc3)\n", "* [IPython Notebook underlying this talk](https://rawgithub.com/twiecki/pymc3_talk/master/bayesian_pymc3.ipynb)" ] } ], "metadata": {} } ] }