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The Hamiltonian Monte Carlo Revolution is Open Source: Probabilistic Programming with PyMC3
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{
"cells": [
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "skip"
}
},
"source": [
"A Dockerfile that will produce a container with all the dependencies necessary to run this notebook is available [here](https://github.com/AustinRochford/notebooks)."
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"slideshow": {
"slide_type": "skip"
}
},
"outputs": [],
"source": [
"%matplotlib inline"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"slideshow": {
"slide_type": "skip"
}
},
"outputs": [],
"source": [
"import datetime\n",
"import logging\n",
"from warnings import filterwarnings"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"slideshow": {
"slide_type": "skip"
}
},
"outputs": [],
"source": [
"from matplotlib import pyplot as plt\n",
"from matplotlib.ticker import StrMethodFormatter\n",
"import numpy as np\n",
"import pandas as pd\n",
"import scipy as sp\n",
"import seaborn as sns\n",
"from sklearn.preprocessing import LabelEncoder\n",
"from theano import pprint"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {
"slideshow": {
"slide_type": "skip"
}
},
"outputs": [],
"source": [
"sns.set(color_codes=True)\n",
"pct_formatter = StrMethodFormatter('{x:.1%}')"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {
"slideshow": {
"slide_type": "skip"
}
},
"outputs": [],
"source": [
"# configure pyplot for readability when rendered as a slideshow and projected\n",
"FIG_WIDTH, FIG_HEIGHT = 8, 6\n",
"plt.rc('figure', figsize=(FIG_WIDTH, FIG_HEIGHT))\n",
"\n",
"LABELSIZE = 14\n",
"plt.rc('axes', labelsize=LABELSIZE)\n",
"plt.rc('axes', titlesize=LABELSIZE)\n",
"plt.rc('figure', titlesize=LABELSIZE)\n",
"plt.rc('legend', fontsize=LABELSIZE)\n",
"plt.rc('xtick', labelsize=LABELSIZE)\n",
"plt.rc('ytick', labelsize=LABELSIZE)"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {
"slideshow": {
"slide_type": "skip"
}
},
"outputs": [],
"source": [
"filterwarnings('ignore', 'findfont')\n",
"filterwarnings('ignore', \"Conversion of the second argument of issubdtype\")\n",
"filterwarnings('ignore', \"Set changed size during iteration\")\n",
"\n",
"# keep theano from complaining about compile locks for small models\n",
"(logging.getLogger('theano.gof.compilelock')\n",
" .setLevel(logging.CRITICAL))"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {
"slideshow": {
"slide_type": "skip"
}
},
"outputs": [],
"source": [
"SEED = 54902 # from random.org, for reproducibility\n",
"\n",
"np.random.seed(SEED)"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"# The HMC Revolution is Open Source\n",
"## Probabilistic Programming with PyMC3\n",
"\n",
"<center><img src='https://raw.githubusercontent.com/pymc-devs/pymc3/master/docs/pymc3_logo.jpg'></center>\n",
"\n",
"## [@AustinRochford](https://twitter.com/AustinRochford) &#8226; [Tom Tom AMLC](https://tomtomfest.com/machine-learning/) &#8226; Charlottesville &#8226; 4/11/19"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"source": [
"## Who am I?\n",
"\n",
"<center><img src='http://austinrochford.com/resources/img/face_big.png' width=400></center>\n",
"\n",
"### PyMC3 developer &#8226; Chief Data Scientist @ [Monetate](http://www.monetate.com/)\n",
"\n",
"### [@AustinRochford](https://twitter.com/AustinRochford) &#8226; [Website](austinrochford.com) &#8226; [GitHub](https://github.com/AustinRochford/)\n",
"\n",
"### [arochford@monetate.com](mailto:arochford@monetate.com) &#8226; [austin.rochford@gmail.com](mailto:austin.rochford@gmail.com)"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"source": [
"## About This Talk\n",
"\n",
"<center>\n",
" <script src=\"https://gist.github.com/AustinRochford/0f5870fb17c3369e37d108ad6dbe5166.js\"></script>\n",
"</center>"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"source": [
"## About Monetate\n",
"\n",
"<center><img src='http://austinrochford.com/resources/talks/img/monetate_logos.png' width=700></center>\n",
"\n",
"* Founded 2008, web optimization and personalization SaaS\n",
"* Observed 5B impressions and $4.1B in revenue during Cyber Week 2017"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"source": [
"<center>\n",
" <img src='https://technical.ly/philly/wp-content/uploads/sites/2/2014/10/monetate-sign.jpg' width=700>\n",
" <a href=\"https://www.monetate.com/about/careers\">monetate.com/about/careers</a>\n",
"</center>"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"## Modern Bayesian Inference\n",
"\n",
"<center><img src=\"https://upload.wikimedia.org/wikipedia/commons/1/18/Bayes%27_Theorem_MMB_01.jpg\" width=800></center>"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"source": [
"<center>\n",
" <img src=\"https://austinrochford.com/resources/talks/mc-revolution-diaconis.png\" width=800>\n",
"</center>"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "skip"
}
},
"source": [
"[_The Markov Chain Monte Carlo Revolution_](https://math.uchicago.edu/~shmuel/Network-course-readings/MCMCRev.pdf) by famous probabilist [Persi Diaconis](https://en.wikipedia.org/wiki/Persi_Diaconis) gives an excellent overview of applications of simulation to many quantitative problems."
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"source": [
"### Motivating Examples\n",
"\n",
"#### 2017 UK General Election\n",
"\n",
"<center>\n",
"<table>\n",
" <tr>\n",
" <td><img src=\"https://upload.wikimedia.org/wikipedia/en/thumb/a/ae/Flag_of_the_United_Kingdom.svg/1280px-Flag_of_the_United_Kingdom.svg.png\" width=300></td>\n",
" <td><img src=\"https://upload.wikimedia.org/wikipedia/commons/d/d3/Official_portrait_of_Jeremy_Corbyn_crop_2.jpg\" width=200></td>\n",
" <td><img src=\"https://upload.wikimedia.org/wikipedia/commons/thumb/5/5c/Theresa_May.png/220px-Theresa_May.png\"></td>\n",
" </tr>\n",
"</table>\n",
"</center>"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "skip"
}
},
"source": [
"[YouGov](https://today.yougov.com/), a polling and opinion data company, correctly called a hung parilment as a result of the 2017 UK general elections in the UK using a Bayesian opinion modeling technique knowns as [multilevel regression with poststratification (MRP)](http://austinrochford.com/posts/2017-07-09-mrpymc3.html) to produce accurate estimates of voter preferences in the UK's 650 parliamentary constituences."
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"source": [
"<center>\n",
" <img src=\"http://austinrochford.com/resources/talks/img/times_yougov.png\" width=700>\n",
"</center>"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"source": [
"<center>\n",
" <img src=\"https://d18lkz4dllo6v2.cloudfront.net/cumulus_uploads/entry/18266/yougov-model-uk-2017-general-electio-banner.jpg?w=660\">\n",
" <a href=\"https://yougov.co.uk/news/2017/05/31/how-yougov-model-2017-general-election-works/\">Source</a>\n",
"</center>"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"source": [
"#### NBA Foul Calls\n",
"\n",
"<center>\n",
" <img src=\"https://upload.wikimedia.org/wikipedia/commons/7/76/Kyrie_Irving_Free_Throw.jpg\" width=700>\n",
" <a href=\"http://austinrochford.com/posts/2018-02-04-nba-irt-2.html\">Source</a>\n",
"</center>"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "skip"
}
},
"source": [
"I have done [some work](http://austinrochford.com/posts/2018-02-04-nba-irt-2.html) using Bayesian methods to study whether or not committing/drawing fouls is a measurable skill among NBA players."
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"source": [
"##### Player skills(?)\n",
"\n",
"<center>\n",
" <img src=\"http://austinrochford.com/resources/nba_irt2/An%20Improved%20Analysis%20of%20NBA%20Foul%20Calls%20with%20Python_157_0.png\">\n",
"</center>"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"source": [
"<center>\n",
"<table>\n",
" <tr>\n",
" <td><img src=\"http://austinrochford.com/resources/nba_irt2/An%20Improved%20Analysis%20of%20NBA%20Foul%20Calls%20with%20Python_161_0.png\"></td>\n",
" <td><img src=\"http://austinrochford.com/resources/nba_irt2/An%20Improved%20Analysis%20of%20NBA%20Foul%20Calls%20with%20Python_163_0.png\"></td>\n",
" </tr>\n",
"</table>\n",
"</center> "
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"## Probabilistic Programming\n",
"\n",
"### Data Science &mdash; inference enables storytelling\n",
"\n",
"<center><img src=\"https://www.edwardtufte.com/tufte/graphics/minard_lg.gif\" width=\"800\">"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"source": [
"### Probabilistic Programming &mdash; storytelling enables inference\n",
"\n",
"<center><img src=\"https://d3ucjech6zwjp8.cloudfront.net/720x480/probablistic-programming-lg-a4b8991929205945dbc850ce4dafc845.png\" width=800></center>"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"source": [
"### The Monty Hall Problem\n",
"\n",
"<center><img src='https://upload.wikimedia.org/wikipedia/commons/thumb/3/3f/Monty_open_door.svg/640px-Monty_open_door.svg.png'></center>"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"source": [
"Initially, we have no information about which door the prize is behind."
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [],
"source": [
"import pymc3 as pm\n",
"\n",
"with pm.Model() as monty_model:\n",
" prize = pm.DiscreteUniform('prize', 0, 2)"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"source": [
"If we choose door one:\n",
"\n",
"<table>\n",
" <tr>\n",
" <td></td>\n",
" <th colspan=\"3\"><center>Monty can open</center></th>\n",
" </tr>\n",
" <tr>\n",
" <th>Prize behind</th>\n",
" <td>Door 1</td>\n",
" <td>Door 2</td>\n",
" <td>Door 3</td>\n",
" </tr>\n",
" <tr>\n",
" <td>Door 1</td>\n",
" <td><font color=\"red\">No</font></td>\n",
" <td><font color=\"green\">Yes</font></td>\n",
" <td><font color=\"green\">Yes</font></td>\n",
" </tr>\n",
" <tr>\n",
" <td>Door 2</td>\n",
" <td><font color=\"red\">No</font></td>\n",
" <td><font color=\"red\">No</font></td>\n",
" <td><font color=\"green\">Yes</font></td>\n",
" </tr>\n",
" <tr>\n",
" <td>Door 3</td>\n",
" <td><font color=\"red\">No</font></td>\n",
" <td><font color=\"green\">Yes</font></td>\n",
" <td><font color=\"red\">No</font></td>\n",
" </tr>\n",
"</table>"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {
"slideshow": {
"slide_type": "fragment"
}
},
"outputs": [],
"source": [
"from theano import tensor as tt\n",
"\n",
"with monty_model:\n",
" p_open = pm.Deterministic(\n",
" 'p_open',\n",
" tt.switch(tt.eq(prize, 0),\n",
" np.array([0., 0.5, 0.5]), # it is behind the first door\n",
" tt.switch(tt.eq(prize, 1),\n",
" np.array([0., 0., 1.]), # it is behind the second door\n",
" np.array([0., 1., 0.]))) # it is behind the third door\n",
" )"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"source": [
"Monty opened the third door, revealing a goat.\n",
"\n",
"<center><img src='https://upload.wikimedia.org/wikipedia/commons/thumb/3/3f/Monty_open_door.svg/640px-Monty_open_door.svg.png' width='500'></center>"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {
"slideshow": {
"slide_type": "fragment"
}
},
"outputs": [],
"source": [
"with monty_model:\n",
" opened = pm.Categorical('opened', p_open, observed=2)"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"source": [
"Should we switch our choice of door?"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {
"slideshow": {
"slide_type": "skip"
}
},
"outputs": [],
"source": [
"CHAINS = 3\n",
"\n",
"SAMPLE_KWARGS = {\n",
" 'chains': CHAINS,\n",
" 'cores': CHAINS,\n",
" 'random_seed': list(SEED + np.arange(CHAINS))\n",
"}"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {
"slideshow": {
"slide_type": "skip"
}
},
"outputs": [],
"source": [
"MONTY_SAMPLE_KWARGS = {\n",
" 'init': None,\n",
" 'compute_convergence_checks': False,\n",
" **SAMPLE_KWARGS\n",
"}"
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {
"slideshow": {
"slide_type": "fragment"
}
},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"Multiprocess sampling (3 chains in 3 jobs)\n",
"Metropolis: [prize]\n",
"Sampling 3 chains: 100%|██████████| 4500/4500 [00:01<00:00, 4173.25draws/s]\n"
]
}
],
"source": [
"with monty_model:\n",
" monty_trace = pm.sample(1000, **MONTY_SAMPLE_KWARGS)\n",
" \n",
"monty_df = pm.trace_to_dataframe(monty_trace)"
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {
"slideshow": {
"slide_type": "fragment"
}
},
"outputs": [
{
"data": {
"text/plain": [
"0 0\n",
"1 0\n",
"2 0\n",
"3 0\n",
"4 1\n",
"Name: prize, dtype: int64"
]
},
"execution_count": 14,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"monty_df['prize'].head()"
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {
"scrolled": false,
"slideshow": {
"slide_type": "subslide"
}
},
"outputs": [
{
"data": {
"image/png": 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79+9vlOIAAIDjqDM0/PKXv7T9vGDBgiYpBgAAOK46Q8Po0aNtP1+8eFFPPfVUkxQEAAAc\nk6G7JzZv3qyvv/66sWsBAAAOzNBCyJkzZ+qpp55SdHS0OnfuLCcn+90GDx7cKMUBAADHYSg0pKam\nSpIOHz5ca5vJZNI//vGPhq0KAAA4HEOhIT8/v7HrAAAADs5QaJCk6upqffrppyosLJTJZFKnTp0U\nERFR61IFAABomQz9jf/pp5/qF7/4hSorK+Xt7S1Jslgs8vT01Guvvabw8PBGLRIAADQ/Q3dPPP/8\n85oyZYo+/fRT/eUvf9Ff/vIXHTx4UBMnTvyPn+GwbNkyhYSE2D4fPHhQEyZMUHh4uKKiorRp06Y6\n97VarcrIyNDw4cMVERGhadOm6dSpU7btGRkZGjBggEaMGKHPPvvMbt/t27drypQpvNIbAIBbZCg0\nFBYW6sknn5Sbm5utzd3dXb/4xS9UVFR0ywf9xz/+obffftv2uaioSLNmzVJMTIz279+vZcuWKT09\nXXv37r3p/hs3blR2drZWrlypvXv3Kjw8XPHx8aqqqtKZM2eUnZ2tnTt3at68eUpJSbHtV1ZWprS0\nNC1dupRXegMAcIsMhYZ77rnnpndInDp1Svfcc88tHbCmpkZJSUl67LHHbG05OTkKDAzUpEmT5Orq\nqvDwcI0ePVqZmZk3HWPTpk2aPn26QkJC5O7uroSEBJWVlWnfvn3Kz89XWFiYvL29NWTIEB0/fty2\nX3p6umJjY9W9e/dbqhkAABhc0/DAAw9o7ty5evDBB/WjH/1INTU1+uc//6m9e/cqNjZWGzZssPWd\nPHlyvWNlZmbK1dVVo0aN0vLlyyVJx44dU69evez6hYaGaufOnbX2v3r1qk6fPq3Q0FBbm7Ozs4KD\ng5WXl2d3yePGjRu2MwqHDx/WoUOH9PTTTysuLk5OTk5asGCB+vbta+SPAACAVs9QaPjDH/4gk8mk\nffv2ad++fXbbsrOzbT+bTKZ6Q0NxcbFWrlyp9evX27VbLBbddddddm3e3t4ym821xigpKZHVapWX\nl5ddu5eXl8xms3r16qXU1FRdvnxZ+/btU1hYmK5du6akpCQ9//zzSkxM1ObNm1VcXKxFixbZXSa5\nGR8fdzk5ta23Dxybv3/75i4BQAvTWn+vGAoNu3btapCDpaSkaPz48erWrZsuXLhgt+1WFybW1b9r\n166Ki4tTdHS0/Pz8lJ6errVr1yosLEy+vr4KCAhQly5d1KVLF126dEnl5eXy9PSs8zhmc8Ut1QXH\n4u/fXkVFZc1dBoAWpiX/XqkvEBla09AQPvnkE+Xl5enJJ5+stc3Hx0cWi8WuzWw2y8/Pr1Zfb29v\ntWnTplZ/i8UiX19fSVJCQoIOHDig999/Xx4eHtqyZYvmz5+v8vJyubu72/ZxdXVVeXl5Q0wPAIAW\nr8lCQ05OjgoKCvTggw9q4MCBio2NlSQNHDhQwcHBOnr0qF3/vLw8hYWF1RrHxcVFPXr0UF5enq2t\nurpa+fn56tevX63+SUlJSkxMVIcOHeTp6anS0lJJ35ypKCkpkYeHR0NOEwCAFqvJQsPChQv1v//7\nv3r77bf19ttva82aNZKkt99+W6NGjVJRUZE2bNigqqoqHThwQO+8846mTp0qScrNzVVUVJQqKysl\nfbPYcv369Tp58qQqKiq0fPlydezYUffff7/dMbdt2yZnZ2dFR0dLkrp166bCwkKdOnVKe/bsUWBg\noNq3b53XpQAAuFV1rmnIyspSXFycJGnDhg3feVfEd/Hy8rJbvHj9+nVJUqdOnSRJq1evVnJyslJT\nUxUQEKCkpCQNGDBAklRZWalz586ppqZGkhQXF6fi4mLNnDlTpaWlCg8P1+rVq+Xs7Gwb32w2KyMj\nw27RZbt27ZSUlKQZM2bIzc1NaWlp32tOAAC0JiZrHSsK+/fvr02bNunOO+/UvffeqwMHDtS5+PDf\nH/rU0rTkxS6tAQsh4ahmpjbMAnM0j3ULhzZ3CY2mvoWQdZ5pGDJkiGJiYmzPOejfv3+dg/BqbAAA\nWr46Q8Py5csVHx+v0tJSzZw5U+vWrWvKugAAgIOp9zkNPXv2lCStWbNGP/7xj5ukIAAA4JgMPdzp\nvvvuU3Z2tt5//31dvHhRJpNJd955p8aOHasRI0Y0do0AAMABGAoNr732mt566y1FR0dr0KBBkqSz\nZ89q4cKFunLlimJiYhq1SAAA0PwMhYYtW7Zo9erVtR6e9Mgjj2jp0qWEBgAAWgFDD3eyWCzq06dP\nrfb+/fvr4sWLDV4UAABwPIZCww9/+EN99NFHtdo//vhjdenSpcGLAgAAjsfQ5YnZs2dr9uzZGjhw\noLp37y7pmzUNBw4cUEpKSqMWCAAAHIOhMw1Dhw7Vn//8Z/Xo0UMXL17UuXPn1LVrV23cuFEPP/xw\nY9cIAAAcgKEzDZIUHBys5557rjFrAQAADqzJ3nIJAABub4QGAABgCKEBAAAYYig0vPDCC8rNzW3s\nWgAAgAMzFBr+9a9/aerUqRo5cqReffVVnT9/vrHrAgAADsbQ3ROvv/66KioqtHv3bn3wwQcaPXq0\ngoOD9cgjjyg6Olre3t6NXScAAGhmhtc0uLu7Kzo6Wr/97W/1ySefaPTo0Vq+fLkGDRqkuXPn6vjx\n441ZJwAAaGaGn9MgSeXl5dq+fbveeecdHT58WP369VNMTIwKCwv12GOPaf78+Ro7dmxj1YpGMDN1\nV3OXgP/QuoVDm7sEAK2ModDw4YcfKicnR3v27JG/v79iYmKUnJysoKAgW59BgwYpISGB0AAAQAtl\nKDQsWLBAUVFRevPNNxUREXHTPn379lVISEiDFgcAAByHoTUNcXFxSk5OrhUYrly5ot/85je2z2vX\nrm3Y6gAAgMOo90zD119/rcuXL+uPf/yjxo4dK6vVarf9iy++0NatW7V48eJGLRIAADS/ekPDnj17\nlJKSomvXrulnP/vZTfv85Cc/aZTCAACAY6k3NIwZM0aPPPKIIiIi9O6779ba7urqKj8/v0YrDgAA\nOI7vXAjZtm1bHTlypClqAQAADqzO0DBp0iRt3LhRkjRu3Lh6B9m6dWvDVgUAABxOnaHhgQcesP08\nePBgmUymJikIAAA4pjpDw5NPPmn7efbs2U1SDAAAcFx1hoY5c+YYHuSVV15pkGIAAIDjqjM0uLu7\nN2UdAADAwdUZGlJSUpqyDgAA4ODqDA1ZWVmKi4uTJG3YsKHOAUwmkyZNmtTwlQEAAIdSZ2j43e9+\nZwsNb775Zp0DEBoAAGgd6gwNO3bssP28a9euJikGAAA4LkOvxpakgwcPas+ePSooKJCLi4s6deqk\nESNGqGfPno1ZHwAAcBCGXo395ptvavr06fr73/8uk8mkqqoq/eUvf1FsbGy96x0AAEDLYSg0rF+/\nXq+//royMzOVlpam9PR0ZWVladWqVXrjjTcMH+yzzz7TlClTFB4ervvvv1/z5s1TUVGRpG/OZEyY\nMEHh4eGKiorSpk2b6hzHarUqIyNDw4cPV0REhKZNm6ZTp07ZtmdkZGjAgAEaMWKEPvvsM7t9t2/f\nrilTptR6zTcAAKifodBQUVGh+++/v1b7fffdpytXrhg6UElJiWbOnKkRI0bowIEDysnJUVFRkZKS\nklRUVKRZs2YpJiZG+/fv17Jly5Senq69e/fedKyNGzcqOztbK1eu1N69exUeHq74+HhVVVXpzJkz\nys7O1s6dOzVv3jy7W0fLysqUlpampUuX8lhsAABukaHQEBsbqy1bttRqz8nJ0ejRow0dqLq6Ws8/\n/7ymT58uZ2dn+fn5acSIEcrPz1dOTo4CAwM1adIkubq6Kjw8XKNHj1ZmZuZNx9q0aZOmT5+ukJAQ\nubu7KyEhQWVlZdq3b5/y8/MVFhYmb29vDRkyRMePH7ftl56ertjYWHXv3t1QzQAA4P8z9Bhpq9Wq\nrVu36q233lL37t3Vpk0bnTt3TpcuXdKwYcMMHcjf319jx461jXf27Fn9+c9/1s9+9jMdO3ZMvXr1\nsusfGhqqnTt31hrn6tWrOn36tEJDQ21tzs7OCg4OVl5enkJCQmztN27csJ1ROHz4sA4dOqSnn35a\ncXFxcnJy0oIFC9S3b19D9QMA0NoZfoz0iBEj7D737dv3P/oLNz8/X2PHjlVNTY3Gjx+vuXPn6okn\nntBdd91l18/b21tms7nW/iUlJbJarfLy8rJr9/LyktlsVq9evZSamqrLly9r3759CgsL07Vr15SU\nlKTnn39eiYmJ2rx5s4qLi7Vo0SK9/fbb9dbr4+MuJ6e2tzxPoLH5+7dv7hKAVqu1fv++92OkN2/e\nfEsH7Nmzp44ePaqzZ89qyZIlmjdvniTd8sLEuvp37dpVcXFxio6Olp+fn9LT07V27VqFhYXJ19dX\nAQEB6tKli7p06aJLly6pvLxcnp6edR7HbK64pbqAplJUVNbcJQCtVkv+/tUXiAw/p+GLL77Q8ePH\nVV1dbWsrKCjQ66+/rgkTJtxSQSaTSd27d9e8efM0ceJERUZGymKx2PUxm83y8/Orta+3t7fatGlT\nq7/FYlFwcLAkKSEhQQkJCZKkL7/8Ulu2bNG2bdt08uRJuzMorq6u3xkaAADANwyFhj/96U9atGiR\n3NzcVFFRofbt26u0tFSdOnXSf/3Xfxk60Pbt2/XGG28oOzvb1tamzTfrMAcPHlxroWVeXp7CwsJq\njePi4qIePXooLy9P9957r6RvFlnm5+fftJakpCQlJiaqQ4cO8vT0VGlpqaRvzlSUlJTIw8PDUP0A\nALR2hu6eWLNmjV577TX9/e9/l7Ozsw4ePKidO3eqd+/eGjRokKEDhYeH68svv9TKlSt19epVXb58\nWStWrFB4eLhiYmJUVFSkDRs2qKqqSgcOHNA777yjqVOnSpJyc3MVFRWlyspKSdLkyZO1fv16nTx5\nUhUVFVq+fLk6duxY67bQbdu2ydnZWdHR0ZKkbt26qbCwUKdOndKePXsUGBio9u1b53UpAABulaEz\nDYWFhRoyZIgk2e5GCAoK0jPPPKNnnnnG7uxBXQICArRu3TqlpKRo9erV8vT0VGRkpJKTk+Xr66vV\nq1crOTlZqampCggIUFJSkgYMGCBJqqys1Llz51RTUyNJiouLU3FxsWbOnKnS0lKFh4dr9erVcnZ2\nth3PbDYrIyND69evt7W1a9dOSUlJmjFjhtzc3JSWlmbsTwkAAMhkNbACceTIkXrllVfUs2dPPfTQ\nQ3r11VfVq1cvVVZW6r777tORI0eaotZm0ZIXu0jSzFReRna7WrdwaHOXgO+B797trSV//773QsjJ\nkydr3Lhx+tvf/qaRI0fqySef1EMPPaQTJ07o7rvvbrBCAQCA4zIUGqZNm6bQ0FB5enoqMTFRrq6u\nysvLU8+ePTVr1qzGrhEAADgAw7dcRkRE2H6eO3duoxQDAAAcl6HQUFpaqpSUFO3Zs0dms1lt27ZV\nx44dNWLECD399NPctggAQCtgKDQsWLBAFy9e1Jw5c3TnnXfKarXqyy+/VFZWln71q1/plVdeaew6\nAQBAMzMUGj799FPt2LFDd9xxh63tvvvu009+8hONHDmy0YoDAACOw9DDnfz8/OTkVDtftGvXTj4+\nPg1eFAAAcDx1hobKykrbP4mJifr1r3+tI0eOqLS0VOXl5crNzbW9ORIAALR8dV6e6N+/v+3pj9I3\n72r46KOP7PpYrVbt2LFDx48fb7wKAQCAQ6gzNPzhD39oyjoAAICDqzM0/PjHP67VVlxcrIsXL8pk\nMikoKIj1DAAAtCKG7p4oKChQYmKiDh06pG9fVdGmTRsNHjxYaWlp8vT0bNQiAQBA8zN098TSpUvl\n5uamrKwsHThwQAcOHNAf//hHXb16VS+++GJj1wgAAByAoTMNBw8e1K5du9ShQwdbW3h4uNLT0xUb\nG9toxQEAAMdh6EyDs7Oz2rZtW6vdzc1NVVVVDV4UAABwPIZCQ0REhBYvXqzCwkJbW2FhoRYvXqy+\nffs2WnEAAMBxGLo88etf/1oJCQkaPHiw7eVUV65cUY8ePbRy5cpGLRAAADgGQ6EhICBAW7duVX5+\nvi5cuKDq6moFBQWpT58+jV0fAABwEIZCw2OPPabf/e536tmzp3r27NnYNQEAAAdkaE2DxWJRbm5u\nY9cCAAAcmKEzDffee6+efvpp9enTRz/4wQ9q3Ukxf/78RikOAAA4DkOhIS8vT0FBQbJYLLJYLHbb\n/v2lVgAAoOUyFBrWr1/f2HXDg4rOAAATEUlEQVQAAAAH952h4cyZM9q9e7fatm2rESNGKDAwsCnq\nAgAADqbehZD79+9XTEyMtm3bpi1btmjUqFE6cuRIU9UGAAAcSL2hYcWKFVqwYIHeeecdvffee5o3\nb55efvnlpqoNAAA4kHpDw+nTpzVhwgTb53HjxunkyZONXhQAAHA89YaG6upqtWvXzvbZzc1NV69e\nbfSiAACA4zH0cCcAAIB67564ceOGNm7cKKvVWm/b5MmTG69CAADgEOoNDR07dtTatWvrbTOZTIQG\nAABagXpDw65du5qqDgAA4OBY0wAAAAwhNAAAAEMIDQAAwBBCAwAAMKRJQ8PFixc1e/ZsRUZGKjIy\nUnPmzFFBQYEk6cSJE5o2bZoiIiI0bNgwrVixwu62zv9rw4YN+ulPf6rw8HBNmDBBhw4dsm3LyspS\nZGSkHnjgAX300Ud2+33++eeKiopSVVVV40wSAIAWqklDw6xZs+Ti4qIPP/xQ7733niwWixYvXqyr\nV68qPj5e/fv31549e7Rq1Sr96U9/UmZm5k3H2b17t15++WW98MIL+uSTTxQbG6v4+HgVFxertLRU\nL7/8srZu3aqVK1dqyZIltvBx/fp1LV68WEuWLJGLi0tTTh0AgNtek4WG0tJS9e7dW88++6w8PT3l\n5+enCRMm6NNPP9Xu3btVWVmp2bNny8PDQz169NDUqVPrDA2bNm3SmDFjFBERIRcXF02cOFGdO3fW\nu+++q7NnzyooKEhdunRR3759df36dRUXF0uS1q1bp9DQUEVGRjbVtAEAaDGaLDR06NBBKSkpCggI\nsLV99dVXCggI0LFjxxQcHCwnp///2IjQ0FCdPHnyppcRjh07ptDQULu20NBQ5eXlyWQy2bXX1NTI\nZDLp/PnzyszM1MiRIzVp0iTFxcVp9+7dDTtJAABasHof7tSYzp49q9dff11LlizRwYMH1aFDB7vt\n3t7eqqmpUUlJiTp27Gi3zWKx1Orv5eWls2fPqnv37jp//ry+/PJLFRQUyMPDQ3fccYcef/xxzZkz\nR+np6VqyZIkCAwM1fvx4ffzxx3J2dm70+QIAcLtrltCQl5en+Ph4PfbYY3r44Yd18ODBehc93gpP\nT089++yzevTRR+Xq6qoXXnhBOTk5slqtGjp0qJKTkxURESFJ8vf319mzZxUSElLneD4+7nJyatsg\ntQENyd+/fXOXALRarfX71+ShYd++fZo7d66eeeYZTZo0SZLk6+urM2fO2PWzWCxq27atvL29a43h\n4+Mjs9lcq7+vr68kady4cRo3bpytPTY2Vm+99ZbKy8vl7u5u28fNzU1lZWX11ms2V9z6JIEmUFRU\n/3+7ABpPS/7+1ReImvTuic8//1y//OUv9T//8z+2wCBJvXv31okTJ1RdXW1ry83N1d1336127drV\nGqd37946evSoXVtubq769etXq++LL76oiRMnKigoSJ6eniotLbVts1gs8vT0bIipAQDQ4jVZaLh+\n/bp+9atfafbs2Ro+fLjdtsGDB8vb21srVqxQRUWF8vPztX79ek2dOlWSVFBQoKioKH3xxReSvnkV\nd05Ojg4dOqSqqir9/ve/V0lJiUaNGmU37sGDB3Xs2DHNnDlTktS+fXsFBARo7969OnHihC5fvqxu\n3bo1/uQBAGgBmuzyxGeffabTp08rPT1d6enpdtt27NihNWvWKCkpSZGRkfLy8tKMGTMUExMjSbp2\n7ZrOnTtnOxMxaNAgPffcc5o/f76KiorUs2dPrVmzRl5eXrYxq6urtXTpUi1btszuroylS5dqwYIF\nunbtmpKTk296JgMAANRmsjbUCsQWqiVft5Kkmam8/vx2tW7h0OYuAd8D373bW0v+/jnMmgYAAHD7\nIjQAAABDCA0AAMAQQgMAADCE0AAAAAwhNAAAAEMIDQAAwBBCAwAAMITQAAAADCE0AAAAQwgNAADA\nEEIDAAAwhNAAAAAMITQAAABDCA0AAMAQQgMAADCE0AAAAAwhNAAAAEMIDQAAwBBCAwAAMITQAAAA\nDCE0AAAAQwgNAADAEEIDAAAwhNAAAAAMITQAAABDCA0AAMAQQgMAADCE0AAAAAwhNAAAAEMIDQAA\nwBBCAwAAMITQAAAADCE0AAAAQwgNAADAEEIDAAAwhNAAAAAMadLQcOLECY0aNUpDhw61az948KAm\nTJig8PBwRUVFadOmTXWOYbValZGRoeHDhysiIkLTpk3TqVOnbNszMjI0YMAAjRgxQp999pndvtu3\nb9eUKVNktVobdmIAALQCTRYa3n//ff385z9X165d7dqLioo0a9YsxcTEaP/+/Vq2bJnS09O1d+/e\nm46zceNGZWdna+XKldq7d6/Cw8MVHx+vqqoqnTlzRtnZ2dq5c6fmzZunlJQU235lZWVKS0vT0qVL\nZTKZGnWuAAC0RE0WGioqKpSVlaV7773Xrj0nJ0eBgYGaNGmSXF1dFR4ertGjRyszM/Om42zatEnT\np09XSEiI3N3dlZCQoLKyMu3bt0/5+fkKCwuTt7e3hgwZouPHj9v2S09PV2xsrLp3796o8wQAoKVq\nstAwbtw4/eAHP6jVfuzYMfXq1cuuLTQ0VHl5ebX6Xr16VadPn1ZoaKitzdnZWcHBwcrLy7M7g3Dj\nxg3b58OHD+vQoUPq0aOH4uLiNHnyZOXm5jbU1AAAaBWcmrsAi8Wiu+66y67N29tbZrO5Vt+SkhJZ\nrVZ5eXnZtXt5eclsNqtXr15KTU3V5cuXtW/fPoWFhenatWtKSkrS888/r8TERG3evFnFxcVatGiR\n3n777e+sz8fHXU5Obb/fJIFG4O/fvrlLAFqt1vr9a/bQIOmWFybW1b9r166Ki4tTdHS0/Pz8lJ6e\nrrVr1yosLEy+vr4KCAhQly5d1KVLF126dEnl5eXy9PSs91hmc8Ut1QY0laKisuYuAWi1WvL3r75A\n1Oy3XPr4+Mhisdi1mc1m+fn51err7e2tNm3a1OpvsVjk6+srSUpISNCBAwf0/vvvy8PDQ1u2bNH8\n+fNVXl4ud3d32z6urq4qLy9vhBkBANAyNXto6NOnj44ePWrXlpeXp7CwsFp9XVxc1KNHD7v1DtXV\n1crPz1e/fv1q9U9KSlJiYqI6dOggT09PlZaWSvrmTEVJSYk8PDwaeDYAALRczR4aHnnkERUVFWnD\nhg2qqqrSgQMH9M4772jq1KmSpNzcXEVFRamyslKSNHnyZK1fv14nT55URUWFli9fro4dO+r++++3\nG3fbtm1ydnZWdHS0JKlbt24qLCzUqVOntGfPHgUGBqp9+9Z5TQoAgP9Ek61pGDlypP71r3+ppqZG\n169fV58+fSRJO3bs0OrVq5WcnKzU1FQFBAQoKSlJAwYMkCRVVlbq3LlzqqmpkSTFxcWpuLhYM2fO\nVGlpqcLDw7V69Wo5OzvbjmU2m5WRkaH169fb2tq1a6ekpCTNmDFDbm5uSktLa6qpAwDQIpisPB6x\nXi15sYskzUzd1dwl4D+0buHQ7+4Eh8V37/bWkr9/Dr0QEgAA3B4IDQAAwBBCAwAAMITQAAAADCE0\nAAAAQwgNAADAEEIDAAAwhNAAAAAMITQAAABDCA0AAMAQQgMAADCE0AAAAAwhNAAAAEMIDQAAwBBC\nAwAAMITQAAAADCE0AAAAQwgNAADAEEIDAAAwhNAAAAAMITQAAABDCA0AAMAQQgMAADCE0AAAAAwh\nNAAAAEMIDQAAwBBCAwAAMITQAAAADCE0AAAAQwgNAADAEEIDAAAwhNAAAAAMITQAAABDCA0AAMAQ\nQgMAADCE0AAAAAwhNAAAAEMcKjR89dVXmjVrlgYOHKjBgwfrN7/5jaqrq2/ad8eOHRo9erT69++v\nRx55RB988IFt20cffaQHH3xQAwcOVGZmpt1+Fy5c0JAhQ/T111836lwAAGhpHCo0PPXUU/Lx8dHO\nnTu1ceNGHTlyRBkZGbX65efn69lnn9Xs2bP1t7/9TXPmzFFiYqJOnjwpq9WqJUuWaMWKFcrOztby\n5ctVWlpq23fp0qWaPXu2fH19m3JqAADc9hwmNOTl5en48eN69tln1aFDBwUGBio+Pl6bN29WTU2N\nXd/Nmzfr/vvv1/Dhw+Xi4qJhw4bp3nvv1ZYtW1RcXKzr168rLCxMgYGBCgoK0tmzZyVJ77//vqqq\nqjR27NjmmCIAALc1hwkNx44dU+fOne3OAPTq1UslJSX65z//Watvr1697NpCQ0OVl5cnk8lk115T\nUyOTyaTS0lKlp6dr5syZmjFjhsaPH6+tW7c23oQAAGhhnJq7gG9ZLBZ16NDBrs3Ly0uSZDab9cMf\n/vA7+5rNZt1xxx1ydXXVoUOHdMcdd+jixYvq3r27XnzxRY0bN06bNm3SmDFjNGzYMEVHR+uhhx6S\nn59fnXX5+7dvuEk6oHdeGt3cJQCtEt893I4c5kyDJFmt1gbpu2TJEiUmJmry5Ml67rnnlJ+fryNH\njujnP/+5jhw5omHDhsnT01N9+/bV559/3hClAwDQ4jnMmQZfX19ZLBa7tm8//98zAT4+Pjft+22/\nwYMHa/fu3ZKk6upqxcbGaunSpWrXrp3Kysrk7u4uSXJzc1NZWVljTAcAgBbHYc409O7dWwUFBSoq\nKrK15ebmys/PT0FBQbX6Hj161K4tLy9PYWFhtcZ94403dM899+iee+6RJHl6eqqkpETSN0HDw8Oj\noacCAECL5DChITQ0VP369VNaWprKysp0/vx5vf7665o8ebJMJpOioqJ04MABSdLEiRN14MAB7dy5\nU9XV1dq+fbsOHTqkiRMn2o157tw5ZWdnKzEx0dYWFhamHTt2qKCgQLm5uerbt2+TzhMAgNuVyXor\nCwkaWUFBgZKSkvS3v/1Nrq6uGjNmjBITE9W2bVuFhIRo1apVeuihhyRJH374oV566SWdP39eP/zh\nDzV//nw9+OCDduNNmzZNkyZNUlRUlK3t1KlTmjt3roqLizV37lw9+uijTTpHAABuVw4VGgAAgONy\nmMsTAADAsTnM3RNAQ/jnP/8ps9ks6Zs7cv7vIloAwH+O0IDb3vXr15WRkaGsrCyVlpbanuFhMpnk\n5+enKVOmKD4+vtbTQgE0ja+++kqdO3du7jLQAAgNuO2lpKToyJEj+s1vfqPQ0FB5e3tL+uaW2s8/\n/1yrVq1SeXm53V00AJpOVFQUD9JrIVgIidveQw89pI0bN9b5fzLnz59XXFyc9u/f38SVAZCkvn37\nKjc3t7nLQAPgTANue5WVlWrfvu53hPj4+KiysrIJKwJaj2HDhn1nn2vXrjVBJWgKhAbc9vr166eU\nlBTNnz/f9pKzb12+fFlpaWkaOHBgM1UHtGxubm760Y9+pMjIyJtut1qtSk1NbeKq0Fi4PIHb3qVL\nl5SQkKD8/Hx16tRJXl5eslqtslgsKigoUFhYmDIyMuTv79/cpQItzokTJ/TEE09o8+bN6tSp0037\nhIWFsaahhSA0oMXIy8vT8ePHbS8z8/X1Ve/evXX33Xc3c2VAy7Z9+3ZVVlYqNjb2ptujoqK0Y8eO\nJq4KjYHQAAAADOGJkAAAwBBCAwAAMITQAAAADOGWSwCNaujQoSooKFCbNt/8P4qfn59+/OMf6/HH\nH1dISEgzVwfgVnCmAUCje+6555SXl6fDhw/rzTffVMeOHTV+/Hjt3bu3uUsDcAsIDQCajLOzs7p3\n767ExEQ98cQTWrRoka5du6bS0lI999xzeuCBB9SvXz9Nnz5dp06dsu1XUFCgp556SpGRkQoPD9eT\nTz6pS5cuSZIuXLigkJAQbdiwQQMHDlR2dnZzTQ9o8QgNAJrFtGnTVFhYqMOHD+vXv/61Lly4oOzs\nbO3fv1+BgYGaNWuWbty4IUlKSEiQs7Ozdu7cqV27dun69et65pln7Mb75JNP9OGHH2rMmDHNMR2g\nVWBNA4Bm4eXlJT8/Px07dkwffPCB/vjHP9qe2vnMM8/ovvvuU25urtzc3JSXl6dXX33V9o6R2bNn\na/z48SosLLSNFxMTU+87SAB8f4QGAM3m+vXrqqiokNVq1V133WVr9/Pzk4eHhy5evCgXFxd5eHjY\nPaL4zjvvlCRdvHjRFjQCAwObtnigFeLyBIBm8dVXX8lsNtf7MjGTyaTq6up6t3+rbdu2DVofgNoI\nDQCaxauvvqof/ehH6tatmyTpzJkztm0FBQW6cuWK7rzzTgUFBenKlSsqKCiwbT979qxMJpPtjAOA\npkFoANCkCgsL9eKLL+q9997Tf//3f8vPz0+DBw/WK6+8oq+//lrl5eVKS0tTcHCwevfurT59+ig4\nOFgvvviirly5osuXLysjI0ODBw+Wr69vc08HaFUIDQAaXUpKivr06aPevXvr4Ycf1oULF5SZmamI\niAhJUmpqqnx8fPTwww9rxIgRqq6u1tq1a2UymWQymbRy5UqVlJRo6NChiomJUWBgoNLT05t5VkDr\nw1suAQCAIZxpAAAAhhAaAACAIYQGAABgCKEBAAAYQmgAAACGEBoAAIAhhAYAAGAIoQEAABhCaAAA\nAIb8P5TZf4226VjjAAAAAElFTkSuQmCC\n",
"text/plain": [
"<Figure size 576x432 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"ax = (monty_df['prize']\n",
" .value_counts(normalize=True, ascending=True)\n",
" .plot(kind='bar', color='C0'))\n",
"\n",
"ax.set_xlabel(\"Door\");\n",
"ax.yaxis.set_major_formatter(pct_formatter);\n",
"ax.set_ylabel(\"Probability of prize\");"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"source": [
"<center><img src='https://raw.githubusercontent.com/pymc-devs/pymc3/master/docs/pymc3_logo.jpg'></center>\n",
"\n",
"From the [PyMC3 documentation](http://pymc-devs.github.io/pymc3/):\n",
"\n",
"> PyMC3 is a Python package for Bayesian statistical modeling and Probabilistic Machine Learning which focuses on **advanced Markov chain Monte Carlo** and variational fitting algorithms. Its flexibility and extensibility make it applicable to a large suite of problems.\n",
"\n",
"[![License](https://img.shields.io/badge/License-Apache%202.0-blue.svg)](https://opensource.org/licenses/Apache-2.0)"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"## Case Study: NBA Foul Calls\n",
"\n",
"<center><img src=\"https://upload.wikimedia.org/wikipedia/commons/7/76/Kyrie_Irving_Free_Throw.jpg\" width=700></center>\n",
"\n",
"**Question:** Is (not) committing and/or drawing fouls a measurable player skill?"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "skip"
}
},
"source": [
"See this [talk](http://austinrochford.com/resources/talks/nba-fouls-pydata-nyc-2017.slides.html) or this [post](http://austinrochford.com/posts/2018-02-04-nba-irt-2.html) for more information on the data, expanded models, and conclusions from this case study."
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {
"slideshow": {
"slide_type": "skip"
}
},
"outputs": [],
"source": [
"%%bash\n",
"DATA_URI=https://raw.githubusercontent.com/polygraph-cool/last-two-minute-report/32f1c43dfa06c2e7652cc51ea65758007f2a1a01/output/all_games.csv\n",
"DATA_DEST=/tmp/all_games.csv\n",
"\n",
"if [[ ! -e $DATA_DEST ]];\n",
"then\n",
" wget -q -O $DATA_DEST $DATA_URI\n",
"fi"
]
},
{
"cell_type": "code",
"execution_count": 17,
"metadata": {
"slideshow": {
"slide_type": "skip"
}
},
"outputs": [],
"source": [
"USECOLS = [\n",
" 'period',\n",
" 'seconds_left',\n",
" 'call_type',\n",
" 'committing_player',\n",
" 'disadvantaged_player',\n",
" 'review_decision',\n",
" 'play_id',\n",
" 'away',\n",
" 'home',\n",
" 'date',\n",
" 'score_away',\n",
" 'score_home',\n",
" 'disadvantaged_team',\n",
" 'committing_team'\n",
"]"
]
},
{
"cell_type": "code",
"execution_count": 18,
"metadata": {
"slideshow": {
"slide_type": "skip"
}
},
"outputs": [],
"source": [
"orig_df = pd.read_csv(\n",
" '/tmp/all_games.csv',\n",
" usecols=USECOLS,\n",
" index_col='play_id',\n",
" parse_dates=['date']\n",
")"
]
},
{
"cell_type": "code",
"execution_count": 19,
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"outputs": [
{
"data": {
"text/html": [
"<div>\n",
"<style scoped>\n",
" .dataframe tbody tr th:only-of-type {\n",
" vertical-align: middle;\n",
" }\n",
"\n",
" .dataframe tbody tr th {\n",
" vertical-align: top;\n",
" }\n",
"\n",
" .dataframe thead th {\n",
" text-align: right;\n",
" }\n",
"</style>\n",
"<table border=\"1\" class=\"dataframe\">\n",
" <thead>\n",
" <tr style=\"text-align: right;\">\n",
" <th>play_id</th>\n",
" <th>20150301CLEHOU-0</th>\n",
" <th>20150301CLEHOU-1</th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>period</th>\n",
" <td>Q4</td>\n",
" <td>Q4</td>\n",
" </tr>\n",
" <tr>\n",
" <th>seconds_left</th>\n",
" <td>112</td>\n",
" <td>103</td>\n",
" </tr>\n",
" <tr>\n",
" <th>call_type</th>\n",
" <td>Foul: Shooting</td>\n",
" <td>Foul: Shooting</td>\n",
" </tr>\n",
" <tr>\n",
" <th>committing_player</th>\n",
" <td>Josh Smith</td>\n",
" <td>J.R. Smith</td>\n",
" </tr>\n",
" <tr>\n",
" <th>disadvantaged_player</th>\n",
" <td>Kevin Love</td>\n",
" <td>James Harden</td>\n",
" </tr>\n",
" <tr>\n",
" <th>review_decision</th>\n",
" <td>CNC</td>\n",
" <td>CC</td>\n",
" </tr>\n",
" <tr>\n",
" <th>away</th>\n",
" <td>CLE</td>\n",
" <td>CLE</td>\n",
" </tr>\n",
" <tr>\n",
" <th>home</th>\n",
" <td>HOU</td>\n",
" <td>HOU</td>\n",
" </tr>\n",
" <tr>\n",
" <th>date</th>\n",
" <td>2015-03-01 00:00:00</td>\n",
" <td>2015-03-01 00:00:00</td>\n",
" </tr>\n",
" <tr>\n",
" <th>score_away</th>\n",
" <td>103</td>\n",
" <td>103</td>\n",
" </tr>\n",
" <tr>\n",
" <th>score_home</th>\n",
" <td>105</td>\n",
" <td>105</td>\n",
" </tr>\n",
" <tr>\n",
" <th>disadvantaged_team</th>\n",
" <td>CLE</td>\n",
" <td>HOU</td>\n",
" </tr>\n",
" <tr>\n",
" <th>committing_team</th>\n",
" <td>HOU</td>\n",
" <td>CLE</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"text/plain": [
"play_id 20150301CLEHOU-0 20150301CLEHOU-1\n",
"period Q4 Q4\n",
"seconds_left 112 103\n",
"call_type Foul: Shooting Foul: Shooting\n",
"committing_player Josh Smith J.R. Smith\n",
"disadvantaged_player Kevin Love James Harden\n",
"review_decision CNC CC\n",
"away CLE CLE\n",
"home HOU HOU\n",
"date 2015-03-01 00:00:00 2015-03-01 00:00:00\n",
"score_away 103 103\n",
"score_home 105 105\n",
"disadvantaged_team CLE HOU\n",
"committing_team HOU CLE"
]
},
"execution_count": 19,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"orig_df.head(n=2).T"
]
},
{
"cell_type": "code",
"execution_count": 20,
"metadata": {
"slideshow": {
"slide_type": "skip"
}
},
"outputs": [],
"source": [
"foul_df = orig_df[\n",
" orig_df.call_type\n",
" .fillna(\"UNKNOWN\")\n",
" .str.startswith(\"Foul\")\n",
"]"
]
},
{
"cell_type": "code",
"execution_count": 21,
"metadata": {
"slideshow": {
"slide_type": "skip"
}
},
"outputs": [],
"source": [
"FOULS = [\n",
" f\"Foul: {foul_type}\"\n",
" for foul_type in [\n",
" \"Personal\",\n",
" \"Shooting\",\n",
" \"Offensive\",\n",
" \"Loose Ball\",\n",
" \"Away from Play\"\n",
" ]\n",
"]"
]
},
{
"cell_type": "code",
"execution_count": 22,
"metadata": {
"slideshow": {
"slide_type": "skip"
}
},
"outputs": [],
"source": [
"TEAM_MAP = {\n",
" \"NKY\": \"NYK\",\n",
" \"COS\": \"BOS\",\n",
" \"SAT\": \"SAS\",\n",
" \"CHi\": \"CHI\",\n",
" \"LA)\": \"LAC\",\n",
" \"AT)\": \"ATL\",\n",
" \"ARL\": \"ATL\"\n",
"}\n",
"\n",
"def correct_team_name(col):\n",
" def _correct_team_name(df):\n",
" return df[col].apply(lambda team_name: TEAM_MAP.get(team_name, team_name))\n",
" \n",
" return _correct_team_name"
]
},
{
"cell_type": "code",
"execution_count": 23,
"metadata": {
"slideshow": {
"slide_type": "skip"
}
},
"outputs": [],
"source": [
"def date_to_season(date):\n",
" if date >= datetime.datetime(2017, 10, 17):\n",
" return '2017-2018'\n",
" elif date >= datetime.datetime(2016, 10, 25):\n",
" return '2016-2017'\n",
" elif date >= datetime.datetime(2015, 10, 27):\n",
" return '2015-2016'\n",
" else:\n",
" return '2014-2015'"
]
},
{
"cell_type": "code",
"execution_count": 24,
"metadata": {
"slideshow": {
"slide_type": "skip"
}
},
"outputs": [],
"source": [
"clean_df = (foul_df.where(lambda df: df.period == \"Q4\")\n",
" .where(lambda df: (df.date.between(datetime.datetime(2016, 10, 25),\n",
" datetime.datetime(2017, 4, 12))\n",
" | df.date.between(datetime.datetime(2015, 10, 27),\n",
" datetime.datetime(2016, 5, 30)))\n",
" )\n",
" .assign(\n",
" review_decision=lambda df: df.review_decision.fillna(\"INC\"),\n",
" committing_team=correct_team_name('committing_team'),\n",
" disadvantged_team=correct_team_name('disadvantaged_team'),\n",
" away=correct_team_name('away'),\n",
" home=correct_team_name('home'),\n",
" season=lambda df: df.date.apply(date_to_season)\n",
" )\n",
" .where(lambda df: df.call_type.isin(FOULS))\n",
" .dropna()\n",
" .drop('period', axis=1)\n",
" .assign(call_type=lambda df: (df.call_type\n",
" .str.split(': ', expand=True) \n",
" .iloc[:, 1])))"
]
},
{
"cell_type": "code",
"execution_count": 25,
"metadata": {
"slideshow": {
"slide_type": "skip"
}
},
"outputs": [],
"source": [
"player_enc = LabelEncoder().fit(\n",
" np.concatenate((\n",
" clean_df.committing_player,\n",
" clean_df.disadvantaged_player\n",
" ))\n",
")\n",
"n_player = player_enc.classes_.size\n",
"\n",
"season_enc = LabelEncoder().fit(\n",
" clean_df.season\n",
")\n",
"n_season = season_enc.classes_.size"
]
},
{
"cell_type": "code",
"execution_count": 26,
"metadata": {
"slideshow": {
"slide_type": "skip"
}
},
"outputs": [],
"source": [
"df = (clean_df[['seconds_left']]\n",
" .round(0)\n",
" .assign(\n",
" foul_called=1. * clean_df.review_decision.isin(['CC', 'INC']),\n",
" player_committing=player_enc.transform(clean_df.committing_player),\n",
" player_disadvantaged=player_enc.transform(clean_df.disadvantaged_player),\n",
" score_committing=clean_df.score_home.where(\n",
" clean_df.committing_team == clean_df.home,\n",
" clean_df.score_away\n",
" ),\n",
" score_disadvantaged=clean_df.score_home.where(\n",
" clean_df.disadvantaged_team == clean_df.home,\n",
" clean_df.score_away\n",
" ),\n",
" season=season_enc.transform(clean_df.season)\n",
" ))"
]
},
{
"cell_type": "code",
"execution_count": 27,
"metadata": {
"slideshow": {
"slide_type": "skip"
}
},
"outputs": [],
"source": [
"player_committing = df.player_committing.values\n",
"player_disadvantaged = df.player_disadvantaged.values\n",
"\n",
"season = df.season.values"
]
},
{
"cell_type": "code",
"execution_count": 28,
"metadata": {
"slideshow": {
"slide_type": "skip"
}
},
"outputs": [],
"source": [
"def hierarchical_normal(name, shape):\n",
" Δ = pm.Normal(f'Δ_{name}', 0., 1., shape=shape)\n",
" σ = pm.HalfNormal(f'σ_{name}', 5.)\n",
" \n",
" return pm.Deterministic(name, Δ * σ)"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"source": [
"### Model outline\n",
"\n",
"$$\n",
"\\operatorname{log-odds}(\\textrm{Foul}) \\\n",
" \\sim \\textrm{Season factor} + \\left(\\textrm{Disadvantaged skill} - \\textrm{Committing skill}\\right)\n",
"$$"
]
},
{
"cell_type": "code",
"execution_count": 29,
"metadata": {
"slideshow": {
"slide_type": "fragment"
}
},
"outputs": [],
"source": [
"with pm.Model() as irt_model:\n",
" β_season = pm.Normal('β_season', 0., 2.5, shape=n_season)\n",
" \n",
" θ = hierarchical_normal('θ', n_player) # disadvantaged skill\n",
" b = hierarchical_normal('b', n_player) # committing skill\n",
"\n",
" p = pm.math.sigmoid(\n",
" β_season[season] + θ[player_disadvantaged] - b[player_committing]\n",
" )\n",
" \n",
" obs = pm.Bernoulli(\n",
" 'obs', p,\n",
" observed=df['foul_called'].values\n",
" )"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"source": [
"#### Metropolis-Hastings Inference"
]
},
{
"cell_type": "code",
"execution_count": 30,
"metadata": {
"slideshow": {
"slide_type": "-"
}
},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"Multiprocess sampling (3 chains in 3 jobs)\n",
"CompoundStep\n",
">Metropolis: [σ_b]\n",
">Metropolis: [Δ_b]\n",
">Metropolis: [σ_θ]\n",
">Metropolis: [Δ_θ]\n",
">Metropolis: [β_season]\n",
"Sampling 3 chains: 100%|██████████| 16500/16500 [01:48<00:00, 152.44draws/s]\n",
"The gelman-rubin statistic is larger than 1.4 for some parameters. The sampler did not converge.\n",
"The estimated number of effective samples is smaller than 200 for some parameters.\n"
]
}
],
"source": [
"with irt_model: \n",
" step = pm.Metropolis()\n",
" met_trace = pm.sample(5000, step=step, **SAMPLE_KWARGS)"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"source": [
"<center><img src=\"http://wutqfm.com/wp-content/uploads/2019/02/warning-stamp-1-1024x650.png\" width=800></center>"
]
},
{
"cell_type": "code",
"execution_count": 31,
"metadata": {
"slideshow": {
"slide_type": "skip"
}
},
"outputs": [],
"source": [
"met_gr_stats = pm.gelman_rubin(met_trace)\n",
"met_θ_worst_ix = met_gr_stats['θ'].argmax()\n",
"met_θ_worst = np.concatenate([\n",
" chain_values[np.newaxis, :, met_θ_worst_ix]\n",
" for chain_values in met_trace.get_values('θ', combine=False)\n",
"])"
]
},
{
"cell_type": "code",
"execution_count": 32,
"metadata": {
"scrolled": false,
"slideshow": {
"slide_type": "skip"
}
},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"/opt/conda/lib/python3.6/site-packages/matplotlib/axes/_axes.py:6521: MatplotlibDeprecationWarning: \n",
"The 'normed' kwarg was deprecated in Matplotlib 2.1 and will be removed in 3.1. Use 'density' instead.\n",
" alternative=\"'density'\", removal=\"3.1\")\n"
]
},
{
"data": {
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45WzwnCqbzYaioiLVtuLiYnR0dKCzsxOyLKO4uFhzPxEREREREVEqBsU6z7Is92p/PKWl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Yr6JfCGR/Jy0gmCIIh0LBYLdu7cic2bN4NhGLS0tODyyy8vtlkEQRAEkRFynicIjy8sPY4JArgS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\nHo1f/OIXaGxsDPcuETJgUPBMCCGEEEJIP/Dcc8/htddew+9+9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"text/plain": [
"<Figure size 1152x432 with 2 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"trace_fig, (trace_ax, hist_ax) = plt.subplots(ncols=2, figsize=(16, 6))\n",
"\n",
"trace_ax.plot(met_θ_worst.T, alpha=0.5);\n",
"\n",
"trace_ax.set_xticklabels([]);\n",
"trace_ax.set_xlabel(\"Sample index\");\n",
"\n",
"worst_param_label = r\"$\\theta_{\" + str(met_θ_worst_ix) + \"}$\"\n",
"\n",
"trace_ax.set_ylabel(worst_param_label);\n",
"\n",
"sns.distplot(\n",
" met_trace['θ'][:, met_θ_worst_ix],\n",
" kde=False, norm_hist=True, ax=hist_ax\n",
");\n",
"\n",
"hist_ax.set_xlabel(worst_param_label);\n",
"\n",
"hist_ax.set_yticks([]);\n",
"hist_ax.set_ylabel(\"Posterior density\");\n",
"\n",
"trace_fig.suptitle(\"Metropolis-Hastings\");"
]
},
{
"cell_type": "code",
"execution_count": 33,
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"outputs": [
{
"data": {
"image/png": 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IiChzuM4zDUn+jkCvv9/WkbBcTJAsh3ckPYd99y5IXi901vz0G5jqnGfNY4P/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Yr6JfCGR/Jy0gmCIIh0LBYLdu7cic2bN4NhGLS0tODyyy8vtlkEQRAEkRFynicIjy8sPY4JArgS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\n8QwAAAAVxDMAAABU+Aa7lI6mMfem5wAAAABJRU5ErkJggg==\n",
"text/plain": [
"<Figure size 1152x432 with 2 Axes>"
]
},
"execution_count": 33,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"trace_fig"
]
},
{
"cell_type": "code",
"execution_count": 34,
"metadata": {
"slideshow": {
"slide_type": "fragment"
}
},
"outputs": [
{
"data": {
"text/plain": [
"3.1038666861280597"
]
},
"execution_count": 34,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"max(np.max(var_stats) for var_stats in pm.gelman_rubin(met_trace).values())"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"source": [
"### The Curse of Dimensionality\n",
"\n",
"This model has"
]
},
{
"cell_type": "code",
"execution_count": 35,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"948"
]
},
"execution_count": 35,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"n_param = n_season + 2 * n_player\n",
"n_param"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "-"
}
},
"source": [
"parameters"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "skip"
}
},
"source": [
"The [curse of dimensionality](https://en.wikipedia.org/wiki/Curse_of_dimensionality) is a well-known concept in machine learning. It refers to the fact that as the number of dimensions in the sample space increases, samples become (on average) far apart quite quickly. It is related to the more complicated phenomenon of [concentration of measure](https://en.wikipedia.org/wiki/Concentration_of_measure), which is the actual motivation for Hamiltonian Monte Carlo (HMC) algorithms.\n",
"\n",
"The following plot illustrates one of the one aspect of the curse of dimensionality, that the volume of the unit ball tends to zero as the dimensionality of the space becomes large. That is, if\n",
"\n",
"$$\n",
"\\begin{align*}\n",
"S_d\n",
" & = \\left\\{\\left.\\vec{x} \\in \\mathbb{R}^d\\ \\right|\\ x_1^2 + \\cdots + x_d^2 \\leq 1\\right\\}, \\\\\n",
"\\operatorname{Vol}(S_d)\n",
" & = \\frac{2 \\pi^{\\frac{d}{2}}}{d\\ \\Gamma\\left(\\frac{d}{2}\\right)}.\n",
"\\end{align*}$$\n",
"\n",
"And we get that $\\operatorname{Vol}(S_d) \\to 0$ as $d \\to \\infty$."
]
},
{
"cell_type": "code",
"execution_count": 36,
"metadata": {
"slideshow": {
"slide_type": "skip"
}
},
"outputs": [],
"source": [
"def sphere_volume(d):\n",
" return 2. * np.power(np.pi, d / 2.) / d / sp.special.gamma(d / 2)"
]
},
{
"cell_type": "code",
"execution_count": 37,
"metadata": {
"slideshow": {
"slide_type": "skip"
}
},
"outputs": [
{
"data": {
"image/png": 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sCFyd7HCoqAad/PudfkRUacjMzMQbb7wBALh8+TJ+/vOf48yZM9iwYQNWrlxp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\n",
"text/plain": [
"<Figure size 576x432 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig, ax = plt.subplots()\n",
"\n",
"d_plot = np.linspace(1, n_param)\n",
"\n",
"ax.plot(d_plot, sphere_volume(d_plot));\n",
"\n",
"ax.set_xscale('log');\n",
"ax.set_xlabel(\"Dimensions\");\n",
"\n",
"ax.set_yscale('log');\n",
"ax.set_ylabel(\"Volume of the unit sphere\");"
]
},
{
"cell_type": "code",
"execution_count": 38,
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"outputs": [
{
"data": {
"image/png": 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sCFyd7HCoqAad/PudfkRUacjMzMQbb7wBALh8+TJ+/vOf48yZM9iwYQNWrlxp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\n",
"text/plain": [
"<Figure size 576x432 with 1 Axes>"
]
},
"execution_count": 38,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"fig"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"## Hamiltonian Monte Carlo Inference\n",
"\n",
"### Bayesian inference ⇔ Differential geometry\n",
"\n",
"<center>\n",
"<table>\n",
" <tr>\n",
" <td>\n",
" <img src=\"https://upload.wikimedia.org/wikipedia/commons/6/61/Gaussian_curvature.svg\" width=\"400\">\n",
" </td>\n",
" <td>\n",
" <img src=\"http://www.deeplearning.net/software/theano/_static/theano_logo.png\">\n",
" </td>\n",
" </tr>\n",
"</table>\n",
"</center>"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"source": [
"### Case Study Continued: NBA Foul Calls"
]
},
{
"cell_type": "code",
"execution_count": 39,
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"Auto-assigning NUTS sampler...\n",
"Initializing NUTS using jitter+adapt_diag...\n",
"Multiprocess sampling (3 chains in 3 jobs)\n",
"NUTS: [σ_b, Δ_b, σ_θ, Δ_θ, β_season]\n",
"Sampling 3 chains: 100%|██████████| 3000/3000 [02:14<00:00, 22.23draws/s]\n"
]
}
],
"source": [
"with irt_model:\n",
" nuts_trace = pm.sample(500, **SAMPLE_KWARGS)"
]
},
{
"cell_type": "code",
"execution_count": 40,
"metadata": {
"slideshow": {
"slide_type": "fragment"
}
},
"outputs": [
{
"data": {
"text/plain": [
"1.0069298341016355"
]
},
"execution_count": 40,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"nuts_gr_stats = pm.gelman_rubin(nuts_trace)\n",
"max(np.max(var_stats) for var_stats in nuts_gr_stats.values())"
]
},
{
"cell_type": "code",
"execution_count": 41,
"metadata": {
"slideshow": {
"slide_type": "skip"
}
},
"outputs": [],
"source": [
"nuts_θ_worst = np.concatenate([\n",
" chain_values[np.newaxis, :, met_gr_stats['θ'].argmax()]\n",
" for chain_values in nuts_trace.get_values('θ', combine=False)\n",
"])"
]
},
{
"cell_type": "code",
"execution_count": 42,
"metadata": {
"scrolled": false,
"slideshow": {
"slide_type": "skip"
}
},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"/opt/conda/lib/python3.6/site-packages/matplotlib/axes/_axes.py:6521: MatplotlibDeprecationWarning: \n",
"The 'normed' kwarg was deprecated in Matplotlib 2.1 and will be removed in 3.1. Use 'density' instead.\n",
" alternative=\"'density'\", removal=\"3.1\")\n"
]
},
{
"data": {
"image/png": 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qPoM7WookQbCnAyXOri60XH4FACAV8Of3KfLeLDaVJ+X3mz5mJCElcDYyiFgq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2HI93UYiIiIjIBAzokGY2JtEhIrIMAS8AwCtEnEtCRERERGZgQIeIiCipMaBDRERElIwY0CEi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PRA5s6VDayevhuzTFbwml22nEXKleubNhHQkWeJs10tvc+hC/nKu7dEuwUUUhPviVGWfkYh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\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aRAzZufMcOrUStpcWY+06fSetUlsp6KhCrmRi5qY00e44U3WXPEEnzRrNSYIsew15s+Cl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\n",
"text/plain": [
"<Figure size 1152x864 with 4 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig, (met_axs, nuts_axs) = plt.subplots(nrows=2, ncols=2, figsize=(16, 12))\n",
"\n",
"(met_trace_ax, met_hist_ax) = met_axs\n",
"\n",
"met_trace_ax.plot(met_θ_worst.T, alpha=0.5);\n",
"\n",
"worst_param_label = r\"$\\theta_{\" + str(met_θ_worst_ix) + \"}$\"\n",
"\n",
"met_trace_ax.set_ylabel(\"Metropolis-Hastings\\n\" + worst_param_label);\n",
"\n",
"sns.distplot(\n",
" met_trace['θ'][:, met_θ_worst_ix],\n",
" kde=False, norm_hist=True, ax=met_hist_ax\n",
");\n",
"\n",
"XMIN = min(met_trace['θ'][:, met_θ_worst_ix].min(),\n",
" nuts_trace['θ'][:, met_θ_worst_ix].min())\n",
"XMAX = min(met_trace['θ'][:, met_θ_worst_ix].max(),\n",
" nuts_trace['θ'][:, met_θ_worst_ix].max())\n",
"\n",
"met_hist_ax.set_xlim(XMIN, XMAX);\n",
"\n",
"met_hist_ax.set_yticks([]);\n",
"met_hist_ax.set_ylabel(\"Posterior density\");\n",
"\n",
"(nuts_trace_ax, nuts_hist_ax) = nuts_axs\n",
"\n",
"nuts_trace_ax.plot(nuts_θ_worst.T, alpha=0.5);\n",
"\n",
"nuts_trace_ax.set_xlabel(\"Sample index\");\n",
"\n",
"nuts_trace_ax.set_ylabel(\"HMC\\n\" + worst_param_label);\n",
"\n",
"sns.distplot(\n",
" nuts_trace['θ'][:, met_θ_worst_ix],\n",
" kde=False, norm_hist=True, ax=nuts_hist_ax\n",
");\n",
"\n",
"nuts_hist_ax.set_xlim(XMIN, XMAX);\n",
"nuts_hist_ax.set_xlabel(worst_param_label);\n",
"\n",
"nuts_hist_ax.set_yticks([]);\n",
"nuts_hist_ax.set_ylabel(\"Posterior density\");\n",
"\n",
"fig.tight_layout();"
]
},
{
"cell_type": "code",
"execution_count": 43,
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"outputs": [
{
"data": {
"image/png": 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qPoM7WookQbCnAyXOri60XH4FACAV8Of3KfLeLDaVJ+X3mz5mJCElcDYyiFgq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2HI93UYiIiIjIBAzokGY2JtEhIrIMAS8AwCtEnEtCRERERGZgQIeIiCipMaBDRERElIwY0CEi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PRA5s6VDayevhuzTFbwml22nEXKleubNhHQkWeJs10tvc+hC/nKu7dEuwUUUhPviVGWfkYh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\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aRAzZufMcOrUStpcWY+06fSetUlsp6KhCrmRi5qY00e44U3WXPEEnzRrNSYIsew15s+Cl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\n",
"text/plain": [
"<Figure size 1152x864 with 4 Axes>"
]
},
"execution_count": 43,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"fig"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"source": [
"#### Basketball strategy leads to more complexity\n",
"\n",
"<center>\n",
" <img src=\"https://cdn10.phillymag.com/wp-content/uploads/2016/12/joel-embiid-2016123101.jpg\" width=800>\n",
"</center>"
]
},
{
"cell_type": "code",
"execution_count": 44,
"metadata": {
"slideshow": {
"slide_type": "skip"
}
},
"outputs": [],
"source": [
"df['trailing_committing'] = (df.score_committing\n",
" .lt(df.score_disadvantaged)\n",
" .mul(1.)\n",
" .astype(np.int64))"
]
},
{
"cell_type": "code",
"execution_count": 45,
"metadata": {
"slideshow": {
"slide_type": "skip"
}
},
"outputs": [],
"source": [
"def make_foul_rate_yaxis(ax, label=\"Observed foul call rate\"):\n",
" ax.yaxis.set_major_formatter(pct_formatter)\n",
" ax.set_ylabel(label)\n",
" \n",
" return ax"
]
},
{
"cell_type": "code",
"execution_count": 46,
"metadata": {
"slideshow": {
"slide_type": "skip"
}
},
"outputs": [],
"source": [
"def make_time_axes(ax,\n",
" xlabel=\"Seconds remaining in game\",\n",
" ylabel=\"Observed foul call rate\"):\n",
" ax.invert_xaxis()\n",
" ax.set_xlabel(xlabel)\n",
" \n",
" return make_foul_rate_yaxis(ax, label=ylabel)"
]
},
{
"cell_type": "code",
"execution_count": 47,
"metadata": {
"slideshow": {
"slide_type": "skip"
}
},
"outputs": [
{
"data": {
"image/png": 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Gob7fjEIBUOWTTWQSVeVJH1aO9F/lSP9VXnX0YUp+Gu/9uZg2tq2Y0vHVKj13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\n9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"text/plain": [
"<Figure size 576x432 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig = make_time_axes(\n",
" df.pivot_table('foul_called', 'seconds_left', 'trailing_committing')\n",
" .rolling(20).mean()\n",
" .rename(columns={0: \"No\", 1: \"Yes\"})\n",
" .rename_axis(\"Committing team is trailing\", axis=1)\n",
" .plot()\n",
").figure"
]
},
{
"cell_type": "code",
"execution_count": 48,
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"outputs": [
{
"data": {
"image/png": 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Gob7fjEIBUOWTTWQSVeVJH1aO9F/lSP9VXnX0YUp+Gu/9uZg2tq2Y0vHVKj13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\nokEIIYQQBvk/y6+p9d1nIi8AAAAASUVORK5CYII=\n",
"text/plain": [
"<Figure size 576x432 with 1 Axes>"
]
},
"execution_count": 48,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"fig"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"## Next Steps with Probabilistic Programming"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "skip"
}
},
"source": [
"The following books/GitHub repositories provide good introductions to PyMC3 and Bayesian statistics."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### PyMC3\n",
"\n",
"<table>\n",
" <tr>\n",
" <td>\n",
" <a href=\"https://github.com/CamDavidsonPilon/Probabilistic-Programming-and-Bayesian-Methods-for-Hackers#pymc3\"><img src=\"https://camo.githubusercontent.com/4a0aca82ca82efab71747d00db30f3a68de98e82/687474703a2f2f692e696d6775722e636f6d2f36444b596250622e706e673f31\" width=\"300\"></a>\n",
" <br>\n",
" </td>\n",
" <td>\n",
" <a href=\"https://github.com/aloctavodia/Statistical-Rethinking-with-Python-and-PyMC3\"><img src=\"http://xcelab.net/rm/wp-content/uploads/2012/01/9781482253443.jpg\" width=\"250\"></a>\n",
" </td>\n",
" <td>\n",
" <a href=\"https://www.amazon.com/Bayesian-Analysis-Python-Osvaldo-Martin-ebook/dp/B07CKQZ7V3\"><img src=\"https://images-na.ssl-images-amazon.com/images/I/51ns1HxOPnL._SY346_.jpg\" width=275></a>\n",
" </td>\n",
" </tr>\n",
"</table>"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"source": [
"### Probabilistic Programming Ecosystem\n",
"\n",
"<center>\n",
" <img src=\"http://austinrochford.com/resources/talks/img/numfocus_pp.png\" width=700>\n",
"</center>"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"source": [
"### PyMC4?\n",
"\n",
"<center>\n",
" <table>\n",
" <tr>\n",
" <td>\n",
" <img src=\"https://upload.wikimedia.org/wikipedia/commons/thumb/1/11/TensorFlowLogo.svg/500px-TensorFlowLogo.svg.png\" width=400>\n",
" </td>\n",
" <td>\n",
" <img src=\"https://cdn-images-1.medium.com/max/1600/0*19BJhsJ-2DzQ7fFH.\" width=500>\n",
" <center><a href=\"https://www.tensorflow.org/probability/\">TensorFlow Probability</a></center>\n",
" </td>\n",
" </tr>\n",
" </table>\n",
" <a href=\"https://github.com/pymc-devs/pymc4\">Prototype repository</a>\n",
"</center>"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"source": [
"### Hamiltonian Monte Carlo\n",
"\n",
"<center>\n",
" <img src=\"https://austinrochford.com/resources/talks/img/conceptual_hmc.png\" width=700>\n",
" <a href=\"https://arxiv.org/abs/1701.02434\">A Conceptual Introduction to Hamiltonian Monte Carlo</a>\n",
"</center>"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"## Thank you!\n",
"\n",
"<center>\n",
" <img src='https://technical.ly/philly/wp-content/uploads/sites/2/2014/10/monetate-sign.jpg' width=400>\n",
" <a href=\"https://www.monetate.com/about/careers\">monetate.com/about/careers</a>\n",
"</center>\n",
"\n",
"### [@AustinRochford](https://twitter.com/AustinRochford) &#8226; [arochford@monetate.com](mailto:arochford@monetate.com) &#8226; [austin.rochford@gmail.com](mailto:austin.rochford@gmail.com)"
]
},
{
"cell_type": "code",
"execution_count": 49,
"metadata": {
"scrolled": true,
"slideshow": {
"slide_type": "skip"
}
},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"[NbConvertApp] Converting notebook ./hmc-oss-pymc3-amlc-2019.ipynb to slides\n",
"[NbConvertApp] Writing 709260 bytes to ./hmc-oss-amlc-2019.slides.html\n"
]
}
],
"source": [
"%%bash\n",
"jupyter nbconvert \\\n",
" --to=slides \\\n",
" --reveal-prefix=https://cdnjs.cloudflare.com/ajax/libs/reveal.js/3.2.0/ \\\n",
" --output=hmc-oss-amlc-2019 \\\n",
" ./hmc-oss-pymc3-amlc-2019.ipynb"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
}
],
"metadata": {
"celltoolbar": "Slideshow",
"kernelspec": {
"display_name": "Python 3",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.6.3"
},
"widgets": {
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"version": "1.1.2"
}
},
"nbformat": 4,
"nbformat_minor": 1
}
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