IMDB.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Movie Revenue Prediction with PyStan"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Introduction\n",
    "\n",
    "In this notebook, we use hierarchical and pooled bayesian linear regression models to predict how much money a movie will gross based on other attributes that are available before a movie is released."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "# Load required libraries\n",
    "import pandas as pd\n",
    "import pystan\n",
    "from psis import psisloo\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "%matplotlib notebook\n",
    "%load_ext autoreload\n",
    "%autoreload 2"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Data"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The notebook is based on the IMDB 5000 Movie Dataset from Kaggle. The dataset was created with information about 5000+ movies scraped from IMDB. The dataset consists of 28 different attributes about 5043 movies from 66 countries released in the past century. \n",
    "\n",
    "#### Load Data\n",
    "Let's load the data into a pandas DataFrame."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "data = pd.read_csv('movie_metadata.csv')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Preprocessing\n",
    "\n",
    "Since enough amount of data is available, the rows with missing values are ignored."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "# Drop rows with missing values\n",
    "data = data.dropna()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let's take a look at the data,"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>color</th>\n",
       "      <th>director_name</th>\n",
       "      <th>num_critic_for_reviews</th>\n",
       "      <th>duration</th>\n",
       "      <th>director_facebook_likes</th>\n",
       "      <th>actor_3_facebook_likes</th>\n",
       "      <th>actor_2_name</th>\n",
       "      <th>actor_1_facebook_likes</th>\n",
       "      <th>gross</th>\n",
       "      <th>genres</th>\n",
       "      <th>...</th>\n",
       "      <th>num_user_for_reviews</th>\n",
       "      <th>language</th>\n",
       "      <th>country</th>\n",
       "      <th>content_rating</th>\n",
       "      <th>budget</th>\n",
       "      <th>title_year</th>\n",
       "      <th>actor_2_facebook_likes</th>\n",
       "      <th>imdb_score</th>\n",
       "      <th>aspect_ratio</th>\n",
       "      <th>movie_facebook_likes</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>Color</td>\n",
       "      <td>James Cameron</td>\n",
       "      <td>723.0</td>\n",
       "      <td>178.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>855.0</td>\n",
       "      <td>Joel David Moore</td>\n",
       "      <td>1000.0</td>\n",
       "      <td>760505847.0</td>\n",
       "      <td>Action|Adventure|Fantasy|Sci-Fi</td>\n",
       "      <td>...</td>\n",
       "      <td>3054.0</td>\n",
       "      <td>English</td>\n",
       "      <td>USA</td>\n",
       "      <td>PG-13</td>\n",
       "      <td>237000000.0</td>\n",
       "      <td>2009.0</td>\n",
       "      <td>936.0</td>\n",
       "      <td>7.9</td>\n",
       "      <td>1.78</td>\n",
       "      <td>33000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>Color</td>\n",
       "      <td>Gore Verbinski</td>\n",
       "      <td>302.0</td>\n",
       "      <td>169.0</td>\n",
       "      <td>563.0</td>\n",
       "      <td>1000.0</td>\n",
       "      <td>Orlando Bloom</td>\n",
       "      <td>40000.0</td>\n",
       "      <td>309404152.0</td>\n",
       "      <td>Action|Adventure|Fantasy</td>\n",
       "      <td>...</td>\n",
       "      <td>1238.0</td>\n",
       "      <td>English</td>\n",
       "      <td>USA</td>\n",
       "      <td>PG-13</td>\n",
       "      <td>300000000.0</td>\n",
       "      <td>2007.0</td>\n",
       "      <td>5000.0</td>\n",
       "      <td>7.1</td>\n",
       "      <td>2.35</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>Color</td>\n",
       "      <td>Sam Mendes</td>\n",
       "      <td>602.0</td>\n",
       "      <td>148.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>161.0</td>\n",
       "      <td>Rory Kinnear</td>\n",
       "      <td>11000.0</td>\n",
       "      <td>200074175.0</td>\n",
       "      <td>Action|Adventure|Thriller</td>\n",
       "      <td>...</td>\n",
       "      <td>994.0</td>\n",
       "      <td>English</td>\n",
       "      <td>UK</td>\n",
       "      <td>PG-13</td>\n",
       "      <td>245000000.0</td>\n",
       "      <td>2015.0</td>\n",
       "      <td>393.0</td>\n",
       "      <td>6.8</td>\n",
       "      <td>2.35</td>\n",
       "      <td>85000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>Color</td>\n",
       "      <td>Christopher Nolan</td>\n",
       "      <td>813.0</td>\n",
       "      <td>164.0</td>\n",
       "      <td>22000.0</td>\n",
       "      <td>23000.0</td>\n",
       "      <td>Christian Bale</td>\n",
       "      <td>27000.0</td>\n",
       "      <td>448130642.0</td>\n",
       "      <td>Action|Thriller</td>\n",
       "      <td>...</td>\n",
       "      <td>2701.0</td>\n",
       "      <td>English</td>\n",
       "      <td>USA</td>\n",
       "      <td>PG-13</td>\n",
       "      <td>250000000.0</td>\n",
       "      <td>2012.0</td>\n",
       "      <td>23000.0</td>\n",
       "      <td>8.5</td>\n",
       "      <td>2.35</td>\n",
       "      <td>164000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>Color</td>\n",
       "      <td>Andrew Stanton</td>\n",
       "      <td>462.0</td>\n",
       "      <td>132.0</td>\n",
       "      <td>475.0</td>\n",
       "      <td>530.0</td>\n",
       "      <td>Samantha Morton</td>\n",
       "      <td>640.0</td>\n",
       "      <td>73058679.0</td>\n",
       "      <td>Action|Adventure|Sci-Fi</td>\n",
       "      <td>...</td>\n",
       "      <td>738.0</td>\n",
       "      <td>English</td>\n",
       "      <td>USA</td>\n",
       "      <td>PG-13</td>\n",
       "      <td>263700000.0</td>\n",
       "      <td>2012.0</td>\n",
       "      <td>632.0</td>\n",
       "      <td>6.6</td>\n",
       "      <td>2.35</td>\n",
       "      <td>24000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6</th>\n",
       "      <td>Color</td>\n",
       "      <td>Sam Raimi</td>\n",
       "      <td>392.0</td>\n",
       "      <td>156.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>4000.0</td>\n",
       "      <td>James Franco</td>\n",
       "      <td>24000.0</td>\n",
       "      <td>336530303.0</td>\n",
       "      <td>Action|Adventure|Romance</td>\n",
       "      <td>...</td>\n",
       "      <td>1902.0</td>\n",
       "      <td>English</td>\n",
       "      <td>USA</td>\n",
       "      <td>PG-13</td>\n",
       "      <td>258000000.0</td>\n",
       "      <td>2007.0</td>\n",
       "      <td>11000.0</td>\n",
       "      <td>6.2</td>\n",
       "      <td>2.35</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7</th>\n",
       "      <td>Color</td>\n",
       "      <td>Nathan Greno</td>\n",
       "      <td>324.0</td>\n",
       "      <td>100.0</td>\n",
       "      <td>15.0</td>\n",
       "      <td>284.0</td>\n",
       "      <td>Donna Murphy</td>\n",
       "      <td>799.0</td>\n",
       "      <td>200807262.0</td>\n",
       "      <td>Adventure|Animation|Comedy|Family|Fantasy|Musi...</td>\n",
       "      <td>...</td>\n",
       "      <td>387.0</td>\n",
       "      <td>English</td>\n",
       "      <td>USA</td>\n",
       "      <td>PG</td>\n",
       "      <td>260000000.0</td>\n",
       "      <td>2010.0</td>\n",
       "      <td>553.0</td>\n",
       "      <td>7.8</td>\n",
       "      <td>1.85</td>\n",
       "      <td>29000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>8</th>\n",
       "      <td>Color</td>\n",
       "      <td>Joss Whedon</td>\n",
       "      <td>635.0</td>\n",
       "      <td>141.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>19000.0</td>\n",
       "      <td>Robert Downey Jr.</td>\n",
       "      <td>26000.0</td>\n",
       "      <td>458991599.0</td>\n",
       "      <td>Action|Adventure|Sci-Fi</td>\n",
       "      <td>...</td>\n",
       "      <td>1117.0</td>\n",
       "      <td>English</td>\n",
       "      <td>USA</td>\n",
       "      <td>PG-13</td>\n",
       "      <td>250000000.0</td>\n",
       "      <td>2015.0</td>\n",
       "      <td>21000.0</td>\n",
       "      <td>7.5</td>\n",
       "      <td>2.35</td>\n",
       "      <td>118000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>9</th>\n",
       "      <td>Color</td>\n",
       "      <td>David Yates</td>\n",
       "      <td>375.0</td>\n",
       "      <td>153.0</td>\n",
       "      <td>282.0</td>\n",
       "      <td>10000.0</td>\n",
       "      <td>Daniel Radcliffe</td>\n",
       "      <td>25000.0</td>\n",
       "      <td>301956980.0</td>\n",
       "      <td>Adventure|Family|Fantasy|Mystery</td>\n",
       "      <td>...</td>\n",
       "      <td>973.0</td>\n",
       "      <td>English</td>\n",
       "      <td>UK</td>\n",
       "      <td>PG</td>\n",
       "      <td>250000000.0</td>\n",
       "      <td>2009.0</td>\n",
       "      <td>11000.0</td>\n",
       "      <td>7.5</td>\n",
       "      <td>2.35</td>\n",
       "      <td>10000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>10</th>\n",
       "      <td>Color</td>\n",
       "      <td>Zack Snyder</td>\n",
       "      <td>673.0</td>\n",
       "      <td>183.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>2000.0</td>\n",
       "      <td>Lauren Cohan</td>\n",
       "      <td>15000.0</td>\n",
       "      <td>330249062.0</td>\n",
       "      <td>Action|Adventure|Sci-Fi</td>\n",
       "      <td>...</td>\n",
       "      <td>3018.0</td>\n",
       "      <td>English</td>\n",
       "      <td>USA</td>\n",
       "      <td>PG-13</td>\n",
       "      <td>250000000.0</td>\n",
       "      <td>2016.0</td>\n",
       "      <td>4000.0</td>\n",
       "      <td>6.9</td>\n",
       "      <td>2.35</td>\n",
       "      <td>197000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>11</th>\n",
       "      <td>Color</td>\n",
       "      <td>Bryan Singer</td>\n",
       "      <td>434.0</td>\n",
       "      <td>169.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>903.0</td>\n",
       "      <td>Marlon Brando</td>\n",
       "      <td>18000.0</td>\n",
       "      <td>200069408.0</td>\n",
       "      <td>Action|Adventure|Sci-Fi</td>\n",
       "      <td>...</td>\n",
       "      <td>2367.0</td>\n",
       "      <td>English</td>\n",
       "      <td>USA</td>\n",
       "      <td>PG-13</td>\n",
       "      <td>209000000.0</td>\n",
       "      <td>2006.0</td>\n",
       "      <td>10000.0</td>\n",
       "      <td>6.1</td>\n",
       "      <td>2.35</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>12</th>\n",
       "      <td>Color</td>\n",
       "      <td>Marc Forster</td>\n",
       "      <td>403.0</td>\n",
       "      <td>106.0</td>\n",
       "      <td>395.0</td>\n",
       "      <td>393.0</td>\n",
       "      <td>Mathieu Amalric</td>\n",
       "      <td>451.0</td>\n",
       "      <td>168368427.0</td>\n",
       "      <td>Action|Adventure</td>\n",
       "      <td>...</td>\n",
       "      <td>1243.0</td>\n",
       "      <td>English</td>\n",
       "      <td>UK</td>\n",
       "      <td>PG-13</td>\n",
       "      <td>200000000.0</td>\n",
       "      <td>2008.0</td>\n",
       "      <td>412.0</td>\n",
       "      <td>6.7</td>\n",
       "      <td>2.35</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>13</th>\n",
       "      <td>Color</td>\n",
       "      <td>Gore Verbinski</td>\n",
       "      <td>313.0</td>\n",
       "      <td>151.0</td>\n",
       "      <td>563.0</td>\n",
       "      <td>1000.0</td>\n",
       "      <td>Orlando Bloom</td>\n",
       "      <td>40000.0</td>\n",
       "      <td>423032628.0</td>\n",
       "      <td>Action|Adventure|Fantasy</td>\n",
       "      <td>...</td>\n",
       "      <td>1832.0</td>\n",
       "      <td>English</td>\n",
       "      <td>USA</td>\n",
       "      <td>PG-13</td>\n",
       "      <td>225000000.0</td>\n",
       "      <td>2006.0</td>\n",
       "      <td>5000.0</td>\n",
       "      <td>7.3</td>\n",
       "      <td>2.35</td>\n",
       "      <td>5000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>14</th>\n",
       "      <td>Color</td>\n",
       "      <td>Gore Verbinski</td>\n",
       "      <td>450.0</td>\n",
       "      <td>150.0</td>\n",
       "      <td>563.0</td>\n",
       "      <td>1000.0</td>\n",
       "      <td>Ruth Wilson</td>\n",
       "      <td>40000.0</td>\n",
       "      <td>89289910.0</td>\n",
       "      <td>Action|Adventure|Western</td>\n",
       "      <td>...</td>\n",
       "      <td>711.0</td>\n",
       "      <td>English</td>\n",
       "      <td>USA</td>\n",
       "      <td>PG-13</td>\n",
       "      <td>215000000.0</td>\n",
       "      <td>2013.0</td>\n",
       "      <td>2000.0</td>\n",
       "      <td>6.5</td>\n",
       "      <td>2.35</td>\n",
       "      <td>48000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>15</th>\n",
       "      <td>Color</td>\n",
       "      <td>Zack Snyder</td>\n",
       "      <td>733.0</td>\n",
       "      <td>143.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>748.0</td>\n",
       "      <td>Christopher Meloni</td>\n",
       "      <td>15000.0</td>\n",
       "      <td>291021565.0</td>\n",
       "      <td>Action|Adventure|Fantasy|Sci-Fi</td>\n",
       "      <td>...</td>\n",
       "      <td>2536.0</td>\n",
       "      <td>English</td>\n",
       "      <td>USA</td>\n",
       "      <td>PG-13</td>\n",
       "      <td>225000000.0</td>\n",
       "      <td>2013.0</td>\n",
       "      <td>3000.0</td>\n",
       "      <td>7.2</td>\n",
       "      <td>2.35</td>\n",
       "      <td>118000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>16</th>\n",
       "      <td>Color</td>\n",
       "      <td>Andrew Adamson</td>\n",
       "      <td>258.0</td>\n",
       "      <td>150.0</td>\n",
       "      <td>80.0</td>\n",
       "      <td>201.0</td>\n",
       "      <td>Pierfrancesco Favino</td>\n",
       "      <td>22000.0</td>\n",
       "      <td>141614023.0</td>\n",
       "      <td>Action|Adventure|Family|Fantasy</td>\n",
       "      <td>...</td>\n",
       "      <td>438.0</td>\n",
       "      <td>English</td>\n",
       "      <td>USA</td>\n",
       "      <td>PG</td>\n",
       "      <td>225000000.0</td>\n",
       "      <td>2008.0</td>\n",
       "      <td>216.0</td>\n",
       "      <td>6.6</td>\n",
       "      <td>2.35</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>17</th>\n",
       "      <td>Color</td>\n",
       "      <td>Joss Whedon</td>\n",
       "      <td>703.0</td>\n",
       "      <td>173.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>19000.0</td>\n",
       "      <td>Robert Downey Jr.</td>\n",
       "      <td>26000.0</td>\n",
       "      <td>623279547.0</td>\n",
       "      <td>Action|Adventure|Sci-Fi</td>\n",
       "      <td>...</td>\n",
       "      <td>1722.0</td>\n",
       "      <td>English</td>\n",
       "      <td>USA</td>\n",
       "      <td>PG-13</td>\n",
       "      <td>220000000.0</td>\n",
       "      <td>2012.0</td>\n",
       "      <td>21000.0</td>\n",
       "      <td>8.1</td>\n",
       "      <td>1.85</td>\n",
       "      <td>123000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>18</th>\n",
       "      <td>Color</td>\n",
       "      <td>Rob Marshall</td>\n",
       "      <td>448.0</td>\n",
       "      <td>136.0</td>\n",
       "      <td>252.0</td>\n",
       "      <td>1000.0</td>\n",
       "      <td>Sam Claflin</td>\n",
       "      <td>40000.0</td>\n",
       "      <td>241063875.0</td>\n",
       "      <td>Action|Adventure|Fantasy</td>\n",
       "      <td>...</td>\n",
       "      <td>484.0</td>\n",
       "      <td>English</td>\n",
       "      <td>USA</td>\n",
       "      <td>PG-13</td>\n",
       "      <td>250000000.0</td>\n",
       "      <td>2011.0</td>\n",
       "      <td>11000.0</td>\n",
       "      <td>6.7</td>\n",
       "      <td>2.35</td>\n",
       "      <td>58000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>19</th>\n",
       "      <td>Color</td>\n",
       "      <td>Barry Sonnenfeld</td>\n",
       "      <td>451.0</td>\n",
       "      <td>106.0</td>\n",
       "      <td>188.0</td>\n",
       "      <td>718.0</td>\n",
       "      <td>Michael Stuhlbarg</td>\n",
       "      <td>10000.0</td>\n",
       "      <td>179020854.0</td>\n",
       "      <td>Action|Adventure|Comedy|Family|Fantasy|Sci-Fi</td>\n",
       "      <td>...</td>\n",
       "      <td>341.0</td>\n",
       "      <td>English</td>\n",
       "      <td>USA</td>\n",
       "      <td>PG-13</td>\n",
       "      <td>225000000.0</td>\n",
       "      <td>2012.0</td>\n",
       "      <td>816.0</td>\n",
       "      <td>6.8</td>\n",
       "      <td>1.85</td>\n",
       "      <td>40000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>20</th>\n",
       "      <td>Color</td>\n",
       "      <td>Peter Jackson</td>\n",
       "      <td>422.0</td>\n",
       "      <td>164.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>773.0</td>\n",
       "      <td>Adam Brown</td>\n",
       "      <td>5000.0</td>\n",
       "      <td>255108370.0</td>\n",
       "      <td>Adventure|Fantasy</td>\n",
       "      <td>...</td>\n",
       "      <td>802.0</td>\n",
       "      <td>English</td>\n",
       "      <td>New Zealand</td>\n",
       "      <td>PG-13</td>\n",
       "      <td>250000000.0</td>\n",
       "      <td>2014.0</td>\n",
       "      <td>972.0</td>\n",
       "      <td>7.5</td>\n",
       "      <td>2.35</td>\n",
       "      <td>65000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>21</th>\n",
       "      <td>Color</td>\n",
       "      <td>Marc Webb</td>\n",
       "      <td>599.0</td>\n",
       "      <td>153.0</td>\n",
       "      <td>464.0</td>\n",
       "      <td>963.0</td>\n",
       "      <td>Andrew Garfield</td>\n",
       "      <td>15000.0</td>\n",
       "      <td>262030663.0</td>\n",
       "      <td>Action|Adventure|Fantasy</td>\n",
       "      <td>...</td>\n",
       "      <td>1225.0</td>\n",
       "      <td>English</td>\n",
       "      <td>USA</td>\n",
       "      <td>PG-13</td>\n",
       "      <td>230000000.0</td>\n",
       "      <td>2012.0</td>\n",
       "      <td>10000.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>2.35</td>\n",
       "      <td>56000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>22</th>\n",
       "      <td>Color</td>\n",
       "      <td>Ridley Scott</td>\n",
       "      <td>343.0</td>\n",
       "      <td>156.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>738.0</td>\n",
       "      <td>William Hurt</td>\n",
       "      <td>891.0</td>\n",
       "      <td>105219735.0</td>\n",
       "      <td>Action|Adventure|Drama|History</td>\n",
       "      <td>...</td>\n",
       "      <td>546.0</td>\n",
       "      <td>English</td>\n",
       "      <td>USA</td>\n",
       "      <td>PG-13</td>\n",
       "      <td>200000000.0</td>\n",
       "      <td>2010.0</td>\n",
       "      <td>882.0</td>\n",
       "      <td>6.7</td>\n",
       "      <td>2.35</td>\n",
       "      <td>17000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>23</th>\n",
       "      <td>Color</td>\n",
       "      <td>Peter Jackson</td>\n",
       "      <td>509.0</td>\n",
       "      <td>186.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>773.0</td>\n",
       "      <td>Adam Brown</td>\n",
       "      <td>5000.0</td>\n",
       "      <td>258355354.0</td>\n",
       "      <td>Adventure|Fantasy</td>\n",
       "      <td>...</td>\n",
       "      <td>951.0</td>\n",
       "      <td>English</td>\n",
       "      <td>USA</td>\n",
       "      <td>PG-13</td>\n",
       "      <td>225000000.0</td>\n",
       "      <td>2013.0</td>\n",
       "      <td>972.0</td>\n",
       "      <td>7.9</td>\n",
       "      <td>2.35</td>\n",
       "      <td>83000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>24</th>\n",
       "      <td>Color</td>\n",
       "      <td>Chris Weitz</td>\n",
       "      <td>251.0</td>\n",
       "      <td>113.0</td>\n",
       "      <td>129.0</td>\n",
       "      <td>1000.0</td>\n",
       "      <td>Eva Green</td>\n",
       "      <td>16000.0</td>\n",
       "      <td>70083519.0</td>\n",
       "      <td>Adventure|Family|Fantasy</td>\n",
       "      <td>...</td>\n",
       "      <td>666.0</td>\n",
       "      <td>English</td>\n",
       "      <td>USA</td>\n",
       "      <td>PG-13</td>\n",
       "      <td>180000000.0</td>\n",
       "      <td>2007.0</td>\n",
       "      <td>6000.0</td>\n",
       "      <td>6.1</td>\n",
       "      <td>2.35</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>25</th>\n",
       "      <td>Color</td>\n",
       "      <td>Peter Jackson</td>\n",
       "      <td>446.0</td>\n",
       "      <td>201.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>84.0</td>\n",
       "      <td>Thomas Kretschmann</td>\n",
       "      <td>6000.0</td>\n",
       "      <td>218051260.0</td>\n",
       "      <td>Action|Adventure|Drama|Romance</td>\n",
       "      <td>...</td>\n",
       "      <td>2618.0</td>\n",
       "      <td>English</td>\n",
       "      <td>New Zealand</td>\n",
       "      <td>PG-13</td>\n",
       "      <td>207000000.0</td>\n",
       "      <td>2005.0</td>\n",
       "      <td>919.0</td>\n",
       "      <td>7.2</td>\n",
       "      <td>2.35</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>26</th>\n",
       "      <td>Color</td>\n",
       "      <td>James Cameron</td>\n",
       "      <td>315.0</td>\n",
       "      <td>194.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>794.0</td>\n",
       "      <td>Kate Winslet</td>\n",
       "      <td>29000.0</td>\n",
       "      <td>658672302.0</td>\n",
       "      <td>Drama|Romance</td>\n",
       "      <td>...</td>\n",
       "      <td>2528.0</td>\n",
       "      <td>English</td>\n",
       "      <td>USA</td>\n",
       "      <td>PG-13</td>\n",
       "      <td>200000000.0</td>\n",
       "      <td>1997.0</td>\n",
       "      <td>14000.0</td>\n",
       "      <td>7.7</td>\n",
       "      <td>2.35</td>\n",
       "      <td>26000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>27</th>\n",
       "      <td>Color</td>\n",
       "      <td>Anthony Russo</td>\n",
       "      <td>516.0</td>\n",
       "      <td>147.0</td>\n",
       "      <td>94.0</td>\n",
       "      <td>11000.0</td>\n",
       "      <td>Scarlett Johansson</td>\n",
       "      <td>21000.0</td>\n",
       "      <td>407197282.0</td>\n",
       "      <td>Action|Adventure|Sci-Fi</td>\n",
       "      <td>...</td>\n",
       "      <td>1022.0</td>\n",
       "      <td>English</td>\n",
       "      <td>USA</td>\n",
       "      <td>PG-13</td>\n",
       "      <td>250000000.0</td>\n",
       "      <td>2016.0</td>\n",
       "      <td>19000.0</td>\n",
       "      <td>8.2</td>\n",
       "      <td>2.35</td>\n",
       "      <td>72000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>28</th>\n",
       "      <td>Color</td>\n",
       "      <td>Peter Berg</td>\n",
       "      <td>377.0</td>\n",
       "      <td>131.0</td>\n",
       "      <td>532.0</td>\n",
       "      <td>627.0</td>\n",
       "      <td>Alexander Skarsgård</td>\n",
       "      <td>14000.0</td>\n",
       "      <td>65173160.0</td>\n",
       "      <td>Action|Adventure|Sci-Fi|Thriller</td>\n",
       "      <td>...</td>\n",
       "      <td>751.0</td>\n",
       "      <td>English</td>\n",
       "      <td>USA</td>\n",
       "      <td>PG-13</td>\n",
       "      <td>209000000.0</td>\n",
       "      <td>2012.0</td>\n",
       "      <td>10000.0</td>\n",
       "      <td>5.9</td>\n",
       "      <td>2.35</td>\n",
       "      <td>44000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>29</th>\n",
       "      <td>Color</td>\n",
       "      <td>Colin Trevorrow</td>\n",
       "      <td>644.0</td>\n",
       "      <td>124.0</td>\n",
       "      <td>365.0</td>\n",
       "      <td>1000.0</td>\n",
       "      <td>Judy Greer</td>\n",
       "      <td>3000.0</td>\n",
       "      <td>652177271.0</td>\n",
       "      <td>Action|Adventure|Sci-Fi|Thriller</td>\n",
       "      <td>...</td>\n",
       "      <td>1290.0</td>\n",
       "      <td>English</td>\n",
       "      <td>USA</td>\n",
       "      <td>PG-13</td>\n",
       "      <td>150000000.0</td>\n",
       "      <td>2015.0</td>\n",
       "      <td>2000.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>2.00</td>\n",
       "      <td>150000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>30</th>\n",
       "      <td>Color</td>\n",
       "      <td>Sam Mendes</td>\n",
       "      <td>750.0</td>\n",
       "      <td>143.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>393.0</td>\n",
       "      <td>Helen McCrory</td>\n",
       "      <td>883.0</td>\n",
       "      <td>304360277.0</td>\n",
       "      <td>Action|Adventure|Thriller</td>\n",
       "      <td>...</td>\n",
       "      <td>1498.0</td>\n",
       "      <td>English</td>\n",
       "      <td>UK</td>\n",
       "      <td>PG-13</td>\n",
       "      <td>200000000.0</td>\n",
       "      <td>2012.0</td>\n",
       "      <td>563.0</td>\n",
       "      <td>7.8</td>\n",
       "      <td>2.35</td>\n",
       "      <td>80000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>...</th>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4930</th>\n",
       "      <td>Color</td>\n",
       "      <td>Gary Winick</td>\n",
       "      <td>91.0</td>\n",
       "      <td>78.0</td>\n",
       "      <td>56.0</td>\n",
       "      <td>184.0</td>\n",
       "      <td>Aaron Stanford</td>\n",
       "      <td>376.0</td>\n",
       "      <td>2882062.0</td>\n",
       "      <td>Comedy|Drama|Romance</td>\n",
       "      <td>...</td>\n",
       "      <td>101.0</td>\n",
       "      <td>English</td>\n",
       "      <td>USA</td>\n",
       "      <td>PG-13</td>\n",
       "      <td>150000.0</td>\n",
       "      <td>2000.0</td>\n",
       "      <td>346.0</td>\n",
       "      <td>6.3</td>\n",
       "      <td>1.85</td>\n",
       "      <td>132</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4931</th>\n",
       "      <td>Color</td>\n",
       "      <td>John Carney</td>\n",
       "      <td>232.0</td>\n",
       "      <td>85.0</td>\n",
       "      <td>109.0</td>\n",
       "      <td>18.0</td>\n",
       "      <td>Markéta Irglová</td>\n",
       "      <td>200.0</td>\n",
       "      <td>9437933.0</td>\n",
       "      <td>Drama|Music|Romance</td>\n",
       "      <td>...</td>\n",
       "      <td>329.0</td>\n",
       "      <td>English</td>\n",
       "      <td>Ireland</td>\n",
       "      <td>R</td>\n",
       "      <td>180000.0</td>\n",
       "      <td>2007.0</td>\n",
       "      <td>96.0</td>\n",
       "      <td>7.9</td>\n",
       "      <td>1.85</td>\n",
       "      <td>26000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4933</th>\n",
       "      <td>Color</td>\n",
       "      <td>Michel Orion Scott</td>\n",
       "      <td>29.0</td>\n",
       "      <td>93.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>2.0</td>\n",
       "      <td>Rowan Isaacson</td>\n",
       "      <td>58.0</td>\n",
       "      <td>155984.0</td>\n",
       "      <td>Documentary</td>\n",
       "      <td>...</td>\n",
       "      <td>9.0</td>\n",
       "      <td>English</td>\n",
       "      <td>USA</td>\n",
       "      <td>Unrated</td>\n",
       "      <td>160000.0</td>\n",
       "      <td>2009.0</td>\n",
       "      <td>2.0</td>\n",
       "      <td>7.4</td>\n",
       "      <td>1.85</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4936</th>\n",
       "      <td>Color</td>\n",
       "      <td>Tobe Hooper</td>\n",
       "      <td>277.0</td>\n",
       "      <td>88.0</td>\n",
       "      <td>365.0</td>\n",
       "      <td>177.0</td>\n",
       "      <td>Edwin Neal</td>\n",
       "      <td>383.0</td>\n",
       "      <td>30859000.0</td>\n",
       "      <td>Horror|Thriller</td>\n",
       "      <td>...</td>\n",
       "      <td>826.0</td>\n",
       "      <td>English</td>\n",
       "      <td>USA</td>\n",
       "      <td>R</td>\n",
       "      <td>83532.0</td>\n",
       "      <td>1974.0</td>\n",
       "      <td>371.0</td>\n",
       "      <td>7.5</td>\n",
       "      <td>1.85</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4941</th>\n",
       "      <td>Color</td>\n",
       "      <td>Michael Moore</td>\n",
       "      <td>40.0</td>\n",
       "      <td>91.0</td>\n",
       "      <td>909.0</td>\n",
       "      <td>42.0</td>\n",
       "      <td>Pat Boone</td>\n",
       "      <td>909.0</td>\n",
       "      <td>6706368.0</td>\n",
       "      <td>Documentary</td>\n",
       "      <td>...</td>\n",
       "      <td>133.0</td>\n",
       "      <td>English</td>\n",
       "      <td>USA</td>\n",
       "      <td>R</td>\n",
       "      <td>160000.0</td>\n",
       "      <td>1989.0</td>\n",
       "      <td>91.0</td>\n",
       "      <td>7.5</td>\n",
       "      <td>1.66</td>\n",
       "      <td>667</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4955</th>\n",
       "      <td>Color</td>\n",
       "      <td>Alex Kendrick</td>\n",
       "      <td>31.0</td>\n",
       "      <td>111.0</td>\n",
       "      <td>589.0</td>\n",
       "      <td>51.0</td>\n",
       "      <td>Erin Bethea</td>\n",
       "      <td>589.0</td>\n",
       "      <td>10174663.0</td>\n",
       "      <td>Drama|Sport</td>\n",
       "      <td>...</td>\n",
       "      <td>382.0</td>\n",
       "      <td>English</td>\n",
       "      <td>USA</td>\n",
       "      <td>PG</td>\n",
       "      <td>100000.0</td>\n",
       "      <td>2006.0</td>\n",
       "      <td>150.0</td>\n",
       "      <td>6.7</td>\n",
       "      <td>1.85</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4956</th>\n",
       "      <td>Color</td>\n",
       "      <td>Travis Cluff</td>\n",
       "      <td>159.0</td>\n",
       "      <td>81.0</td>\n",
       "      <td>3.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>Cassidy Gifford</td>\n",
       "      <td>220.0</td>\n",
       "      <td>22757819.0</td>\n",
       "      <td>Horror|Thriller</td>\n",
       "      <td>...</td>\n",
       "      <td>150.0</td>\n",
       "      <td>English</td>\n",
       "      <td>USA</td>\n",
       "      <td>R</td>\n",
       "      <td>100000.0</td>\n",
       "      <td>2015.0</td>\n",
       "      <td>40.0</td>\n",
       "      <td>4.2</td>\n",
       "      <td>1.85</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4959</th>\n",
       "      <td>Color</td>\n",
       "      <td>Robert Townsend</td>\n",
       "      <td>21.0</td>\n",
       "      <td>81.0</td>\n",
       "      <td>467.0</td>\n",
       "      <td>287.0</td>\n",
       "      <td>Keenen Ivory Wayans</td>\n",
       "      <td>467.0</td>\n",
       "      <td>5228617.0</td>\n",
       "      <td>Comedy</td>\n",
       "      <td>...</td>\n",
       "      <td>32.0</td>\n",
       "      <td>English</td>\n",
       "      <td>USA</td>\n",
       "      <td>R</td>\n",
       "      <td>100000.0</td>\n",
       "      <td>1987.0</td>\n",
       "      <td>322.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>1.85</td>\n",
       "      <td>471</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4962</th>\n",
       "      <td>Black and White</td>\n",
       "      <td>Larry Blamire</td>\n",
       "      <td>88.0</td>\n",
       "      <td>90.0</td>\n",
       "      <td>56.0</td>\n",
       "      <td>56.0</td>\n",
       "      <td>Brian Howe</td>\n",
       "      <td>126.0</td>\n",
       "      <td>110536.0</td>\n",
       "      <td>Comedy|Horror|Sci-Fi</td>\n",
       "      <td>...</td>\n",
       "      <td>118.0</td>\n",
       "      <td>English</td>\n",
       "      <td>USA</td>\n",
       "      <td>PG</td>\n",
       "      <td>40000.0</td>\n",
       "      <td>2001.0</td>\n",
       "      <td>76.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>1.85</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4964</th>\n",
       "      <td>Color</td>\n",
       "      <td>E.L. Katz</td>\n",
       "      <td>193.0</td>\n",
       "      <td>88.0</td>\n",
       "      <td>3.0</td>\n",
       "      <td>307.0</td>\n",
       "      <td>Ethan Embry</td>\n",
       "      <td>3000.0</td>\n",
       "      <td>59379.0</td>\n",
       "      <td>Comedy|Crime|Drama|Horror|Thriller</td>\n",
       "      <td>...</td>\n",
       "      <td>52.0</td>\n",
       "      <td>English</td>\n",
       "      <td>USA</td>\n",
       "      <td>Not Rated</td>\n",
       "      <td>200000.0</td>\n",
       "      <td>2013.0</td>\n",
       "      <td>982.0</td>\n",
       "      <td>6.8</td>\n",
       "      <td>2.35</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4971</th>\n",
       "      <td>Color</td>\n",
       "      <td>Dennis Iliadis</td>\n",
       "      <td>241.0</td>\n",
       "      <td>114.0</td>\n",
       "      <td>29.0</td>\n",
       "      <td>616.0</td>\n",
       "      <td>Monica Potter</td>\n",
       "      <td>956.0</td>\n",
       "      <td>32721635.0</td>\n",
       "      <td>Crime|Horror|Thriller</td>\n",
       "      <td>...</td>\n",
       "      <td>279.0</td>\n",
       "      <td>English</td>\n",
       "      <td>USA</td>\n",
       "      <td>R</td>\n",
       "      <td>15000000.0</td>\n",
       "      <td>2009.0</td>\n",
       "      <td>878.0</td>\n",
       "      <td>6.6</td>\n",
       "      <td>1.85</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4973</th>\n",
       "      <td>Black and White</td>\n",
       "      <td>Darren Aronofsky</td>\n",
       "      <td>138.0</td>\n",
       "      <td>84.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>194.0</td>\n",
       "      <td>Clint Mansell</td>\n",
       "      <td>1000.0</td>\n",
       "      <td>3216970.0</td>\n",
       "      <td>Drama|Mystery|Thriller</td>\n",
       "      <td>...</td>\n",
       "      <td>586.0</td>\n",
       "      <td>English</td>\n",
       "      <td>USA</td>\n",
       "      <td>R</td>\n",
       "      <td>60000.0</td>\n",
       "      <td>1998.0</td>\n",
       "      <td>512.0</td>\n",
       "      <td>7.5</td>\n",
       "      <td>1.66</td>\n",
       "      <td>24000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4975</th>\n",
       "      <td>Color</td>\n",
       "      <td>Myles Berkowitz</td>\n",
       "      <td>32.0</td>\n",
       "      <td>87.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>153.0</td>\n",
       "      <td>Tom Ardavany</td>\n",
       "      <td>1000.0</td>\n",
       "      <td>536767.0</td>\n",
       "      <td>Biography|Comedy|Romance</td>\n",
       "      <td>...</td>\n",
       "      <td>83.0</td>\n",
       "      <td>English</td>\n",
       "      <td>USA</td>\n",
       "      <td>R</td>\n",
       "      <td>60000.0</td>\n",
       "      <td>1998.0</td>\n",
       "      <td>184.0</td>\n",
       "      <td>5.3</td>\n",
       "      <td>1.85</td>\n",
       "      <td>30</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4977</th>\n",
       "      <td>Color</td>\n",
       "      <td>Morgan Spurlock</td>\n",
       "      <td>193.0</td>\n",
       "      <td>100.0</td>\n",
       "      <td>293.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>Amanda Kearsan</td>\n",
       "      <td>0.0</td>\n",
       "      <td>11529368.0</td>\n",
       "      <td>Comedy|Documentary|Drama</td>\n",
       "      <td>...</td>\n",
       "      <td>404.0</td>\n",
       "      <td>English</td>\n",
       "      <td>USA</td>\n",
       "      <td>PG</td>\n",
       "      <td>65000.0</td>\n",
       "      <td>2004.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>7.3</td>\n",
       "      <td>1.78</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4978</th>\n",
       "      <td>Color</td>\n",
       "      <td>Brandon Trost</td>\n",
       "      <td>66.0</td>\n",
       "      <td>82.0</td>\n",
       "      <td>32.0</td>\n",
       "      <td>128.0</td>\n",
       "      <td>Sean Whalen</td>\n",
       "      <td>968.0</td>\n",
       "      <td>40557.0</td>\n",
       "      <td>Comedy</td>\n",
       "      <td>...</td>\n",
       "      <td>22.0</td>\n",
       "      <td>English</td>\n",
       "      <td>USA</td>\n",
       "      <td>R</td>\n",
       "      <td>60000.0</td>\n",
       "      <td>2011.0</td>\n",
       "      <td>407.0</td>\n",
       "      <td>5.6</td>\n",
       "      <td>2.35</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4979</th>\n",
       "      <td>Color</td>\n",
       "      <td>Joe Swanberg</td>\n",
       "      <td>65.0</td>\n",
       "      <td>82.0</td>\n",
       "      <td>217.0</td>\n",
       "      <td>442.0</td>\n",
       "      <td>Lena Dunham</td>\n",
       "      <td>10000.0</td>\n",
       "      <td>30084.0</td>\n",
       "      <td>Comedy|Drama</td>\n",
       "      <td>...</td>\n",
       "      <td>23.0</td>\n",
       "      <td>English</td>\n",
       "      <td>USA</td>\n",
       "      <td>R</td>\n",
       "      <td>70000.0</td>\n",
       "      <td>2014.0</td>\n",
       "      <td>969.0</td>\n",
       "      <td>5.6</td>\n",
       "      <td>1.85</td>\n",
       "      <td>812</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4984</th>\n",
       "      <td>Color</td>\n",
       "      <td>Edward Burns</td>\n",
       "      <td>36.0</td>\n",
       "      <td>98.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>73.0</td>\n",
       "      <td>Michael McGlone</td>\n",
       "      <td>138.0</td>\n",
       "      <td>10246600.0</td>\n",
       "      <td>Comedy|Drama|Romance</td>\n",
       "      <td>...</td>\n",
       "      <td>36.0</td>\n",
       "      <td>English</td>\n",
       "      <td>USA</td>\n",
       "      <td>R</td>\n",
       "      <td>25000.0</td>\n",
       "      <td>1995.0</td>\n",
       "      <td>111.0</td>\n",
       "      <td>6.6</td>\n",
       "      <td>1.85</td>\n",
       "      <td>265</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4987</th>\n",
       "      <td>Color</td>\n",
       "      <td>Lena Dunham</td>\n",
       "      <td>113.0</td>\n",
       "      <td>98.0</td>\n",
       "      <td>969.0</td>\n",
       "      <td>433.0</td>\n",
       "      <td>Merritt Wever</td>\n",
       "      <td>969.0</td>\n",
       "      <td>389804.0</td>\n",
       "      <td>Comedy|Drama|Romance</td>\n",
       "      <td>...</td>\n",
       "      <td>35.0</td>\n",
       "      <td>English</td>\n",
       "      <td>USA</td>\n",
       "      <td>Not Rated</td>\n",
       "      <td>65000.0</td>\n",
       "      <td>2010.0</td>\n",
       "      <td>529.0</td>\n",
       "      <td>6.3</td>\n",
       "      <td>2.35</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4997</th>\n",
       "      <td>Color</td>\n",
       "      <td>David Gordon Green</td>\n",
       "      <td>75.0</td>\n",
       "      <td>90.0</td>\n",
       "      <td>234.0</td>\n",
       "      <td>15.0</td>\n",
       "      <td>Eddie Rouse</td>\n",
       "      <td>552.0</td>\n",
       "      <td>241816.0</td>\n",
       "      <td>Drama</td>\n",
       "      <td>...</td>\n",
       "      <td>76.0</td>\n",
       "      <td>English</td>\n",
       "      <td>USA</td>\n",
       "      <td>Unrated</td>\n",
       "      <td>42000.0</td>\n",
       "      <td>2000.0</td>\n",
       "      <td>61.0</td>\n",
       "      <td>7.5</td>\n",
       "      <td>2.35</td>\n",
       "      <td>451</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4998</th>\n",
       "      <td>Color</td>\n",
       "      <td>Kevin Jordan</td>\n",
       "      <td>21.0</td>\n",
       "      <td>90.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>113.0</td>\n",
       "      <td>Christa Miller</td>\n",
       "      <td>20000.0</td>\n",
       "      <td>277233.0</td>\n",
       "      <td>Comedy|Romance</td>\n",
       "      <td>...</td>\n",
       "      <td>26.0</td>\n",
       "      <td>English</td>\n",
       "      <td>USA</td>\n",
       "      <td>R</td>\n",
       "      <td>40000.0</td>\n",
       "      <td>1999.0</td>\n",
       "      <td>467.0</td>\n",
       "      <td>7.6</td>\n",
       "      <td>1.85</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5008</th>\n",
       "      <td>Black and White</td>\n",
       "      <td>Kevin Smith</td>\n",
       "      <td>136.0</td>\n",
       "      <td>102.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>216.0</td>\n",
       "      <td>Brian O'Halloran</td>\n",
       "      <td>898.0</td>\n",
       "      <td>3151130.0</td>\n",
       "      <td>Comedy</td>\n",
       "      <td>...</td>\n",
       "      <td>615.0</td>\n",
       "      <td>English</td>\n",
       "      <td>USA</td>\n",
       "      <td>R</td>\n",
       "      <td>230000.0</td>\n",
       "      <td>1994.0</td>\n",
       "      <td>657.0</td>\n",
       "      <td>7.8</td>\n",
       "      <td>1.37</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5011</th>\n",
       "      <td>Color</td>\n",
       "      <td>Neil LaBute</td>\n",
       "      <td>80.0</td>\n",
       "      <td>97.0</td>\n",
       "      <td>119.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>Matt Malloy</td>\n",
       "      <td>136.0</td>\n",
       "      <td>2856622.0</td>\n",
       "      <td>Comedy|Drama</td>\n",
       "      <td>...</td>\n",
       "      <td>197.0</td>\n",
       "      <td>English</td>\n",
       "      <td>Canada</td>\n",
       "      <td>R</td>\n",
       "      <td>25000.0</td>\n",
       "      <td>1997.0</td>\n",
       "      <td>108.0</td>\n",
       "      <td>7.3</td>\n",
       "      <td>1.85</td>\n",
       "      <td>489</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5012</th>\n",
       "      <td>Color</td>\n",
       "      <td>David Ayer</td>\n",
       "      <td>233.0</td>\n",
       "      <td>109.0</td>\n",
       "      <td>453.0</td>\n",
       "      <td>120.0</td>\n",
       "      <td>Martin Donovan</td>\n",
       "      <td>1000.0</td>\n",
       "      <td>10499968.0</td>\n",
       "      <td>Action|Crime|Drama|Thriller</td>\n",
       "      <td>...</td>\n",
       "      <td>212.0</td>\n",
       "      <td>English</td>\n",
       "      <td>USA</td>\n",
       "      <td>R</td>\n",
       "      <td>35000000.0</td>\n",
       "      <td>2014.0</td>\n",
       "      <td>206.0</td>\n",
       "      <td>5.7</td>\n",
       "      <td>1.85</td>\n",
       "      <td>10000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5015</th>\n",
       "      <td>Black and White</td>\n",
       "      <td>Richard Linklater</td>\n",
       "      <td>61.0</td>\n",
       "      <td>100.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>Richard Linklater</td>\n",
       "      <td>5.0</td>\n",
       "      <td>1227508.0</td>\n",
       "      <td>Comedy|Drama</td>\n",
       "      <td>...</td>\n",
       "      <td>80.0</td>\n",
       "      <td>English</td>\n",
       "      <td>USA</td>\n",
       "      <td>R</td>\n",
       "      <td>23000.0</td>\n",
       "      <td>1991.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>7.1</td>\n",
       "      <td>1.37</td>\n",
       "      <td>2000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5025</th>\n",
       "      <td>Color</td>\n",
       "      <td>John Waters</td>\n",
       "      <td>73.0</td>\n",
       "      <td>108.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>105.0</td>\n",
       "      <td>Mink Stole</td>\n",
       "      <td>462.0</td>\n",
       "      <td>180483.0</td>\n",
       "      <td>Comedy|Crime|Horror</td>\n",
       "      <td>...</td>\n",
       "      <td>183.0</td>\n",
       "      <td>English</td>\n",
       "      <td>USA</td>\n",
       "      <td>NC-17</td>\n",
       "      <td>10000.0</td>\n",
       "      <td>1972.0</td>\n",
       "      <td>143.0</td>\n",
       "      <td>6.1</td>\n",
       "      <td>1.37</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5026</th>\n",
       "      <td>Color</td>\n",
       "      <td>Olivier Assayas</td>\n",
       "      <td>81.0</td>\n",
       "      <td>110.0</td>\n",
       "      <td>107.0</td>\n",
       "      <td>45.0</td>\n",
       "      <td>Béatrice Dalle</td>\n",
       "      <td>576.0</td>\n",
       "      <td>136007.0</td>\n",
       "      <td>Drama|Music|Romance</td>\n",
       "      <td>...</td>\n",
       "      <td>39.0</td>\n",
       "      <td>French</td>\n",
       "      <td>France</td>\n",
       "      <td>R</td>\n",
       "      <td>4500.0</td>\n",
       "      <td>2004.0</td>\n",
       "      <td>133.0</td>\n",
       "      <td>6.9</td>\n",
       "      <td>2.35</td>\n",
       "      <td>171</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5027</th>\n",
       "      <td>Color</td>\n",
       "      <td>Jafar Panahi</td>\n",
       "      <td>64.0</td>\n",
       "      <td>90.0</td>\n",
       "      <td>397.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>Nargess Mamizadeh</td>\n",
       "      <td>5.0</td>\n",
       "      <td>673780.0</td>\n",
       "      <td>Drama</td>\n",
       "      <td>...</td>\n",
       "      <td>26.0</td>\n",
       "      <td>Persian</td>\n",
       "      <td>Iran</td>\n",
       "      <td>Not Rated</td>\n",
       "      <td>10000.0</td>\n",
       "      <td>2000.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>7.5</td>\n",
       "      <td>1.85</td>\n",
       "      <td>697</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5033</th>\n",
       "      <td>Color</td>\n",
       "      <td>Shane Carruth</td>\n",
       "      <td>143.0</td>\n",
       "      <td>77.0</td>\n",
       "      <td>291.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>David Sullivan</td>\n",
       "      <td>291.0</td>\n",
       "      <td>424760.0</td>\n",
       "      <td>Drama|Sci-Fi|Thriller</td>\n",
       "      <td>...</td>\n",
       "      <td>371.0</td>\n",
       "      <td>English</td>\n",
       "      <td>USA</td>\n",
       "      <td>PG-13</td>\n",
       "      <td>7000.0</td>\n",
       "      <td>2004.0</td>\n",
       "      <td>45.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>1.85</td>\n",
       "      <td>19000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5035</th>\n",
       "      <td>Color</td>\n",
       "      <td>Robert Rodriguez</td>\n",
       "      <td>56.0</td>\n",
       "      <td>81.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>Peter Marquardt</td>\n",
       "      <td>121.0</td>\n",
       "      <td>2040920.0</td>\n",
       "      <td>Action|Crime|Drama|Romance|Thriller</td>\n",
       "      <td>...</td>\n",
       "      <td>130.0</td>\n",
       "      <td>Spanish</td>\n",
       "      <td>USA</td>\n",
       "      <td>R</td>\n",
       "      <td>7000.0</td>\n",
       "      <td>1992.0</td>\n",
       "      <td>20.0</td>\n",
       "      <td>6.9</td>\n",
       "      <td>1.37</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5042</th>\n",
       "      <td>Color</td>\n",
       "      <td>Jon Gunn</td>\n",
       "      <td>43.0</td>\n",
       "      <td>90.0</td>\n",
       "      <td>16.0</td>\n",
       "      <td>16.0</td>\n",
       "      <td>Brian Herzlinger</td>\n",
       "      <td>86.0</td>\n",
       "      <td>85222.0</td>\n",
       "      <td>Documentary</td>\n",
       "      <td>...</td>\n",
       "      <td>84.0</td>\n",
       "      <td>English</td>\n",
       "      <td>USA</td>\n",
       "      <td>PG</td>\n",
       "      <td>1100.0</td>\n",
       "      <td>2004.0</td>\n",
       "      <td>23.0</td>\n",
       "      <td>6.6</td>\n",
       "      <td>1.85</td>\n",
       "      <td>456</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>3756 rows × 28 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "                 color       director_name  num_critic_for_reviews  duration  \\\n",
       "0                Color       James Cameron                   723.0     178.0   \n",
       "1                Color      Gore Verbinski                   302.0     169.0   \n",
       "2                Color          Sam Mendes                   602.0     148.0   \n",
       "3                Color   Christopher Nolan                   813.0     164.0   \n",
       "5                Color      Andrew Stanton                   462.0     132.0   \n",
       "6                Color           Sam Raimi                   392.0     156.0   \n",
       "7                Color        Nathan Greno                   324.0     100.0   \n",
       "8                Color         Joss Whedon                   635.0     141.0   \n",
       "9                Color         David Yates                   375.0     153.0   \n",
       "10               Color         Zack Snyder                   673.0     183.0   \n",
       "11               Color        Bryan Singer                   434.0     169.0   \n",
       "12               Color        Marc Forster                   403.0     106.0   \n",
       "13               Color      Gore Verbinski                   313.0     151.0   \n",
       "14               Color      Gore Verbinski                   450.0     150.0   \n",
       "15               Color         Zack Snyder                   733.0     143.0   \n",
       "16               Color      Andrew Adamson                   258.0     150.0   \n",
       "17               Color         Joss Whedon                   703.0     173.0   \n",
       "18               Color        Rob Marshall                   448.0     136.0   \n",
       "19               Color    Barry Sonnenfeld                   451.0     106.0   \n",
       "20               Color       Peter Jackson                   422.0     164.0   \n",
       "21               Color           Marc Webb                   599.0     153.0   \n",
       "22               Color        Ridley Scott                   343.0     156.0   \n",
       "23               Color       Peter Jackson                   509.0     186.0   \n",
       "24               Color         Chris Weitz                   251.0     113.0   \n",
       "25               Color       Peter Jackson                   446.0     201.0   \n",
       "26               Color       James Cameron                   315.0     194.0   \n",
       "27               Color       Anthony Russo                   516.0     147.0   \n",
       "28               Color          Peter Berg                   377.0     131.0   \n",
       "29               Color     Colin Trevorrow                   644.0     124.0   \n",
       "30               Color          Sam Mendes                   750.0     143.0   \n",
       "...                ...                 ...                     ...       ...   \n",
       "4930             Color         Gary Winick                    91.0      78.0   \n",
       "4931             Color         John Carney                   232.0      85.0   \n",
       "4933             Color  Michel Orion Scott                    29.0      93.0   \n",
       "4936             Color         Tobe Hooper                   277.0      88.0   \n",
       "4941             Color       Michael Moore                    40.0      91.0   \n",
       "4955             Color       Alex Kendrick                    31.0     111.0   \n",
       "4956             Color        Travis Cluff                   159.0      81.0   \n",
       "4959             Color     Robert Townsend                    21.0      81.0   \n",
       "4962   Black and White       Larry Blamire                    88.0      90.0   \n",
       "4964             Color           E.L. Katz                   193.0      88.0   \n",
       "4971             Color      Dennis Iliadis                   241.0     114.0   \n",
       "4973   Black and White    Darren Aronofsky                   138.0      84.0   \n",
       "4975             Color     Myles Berkowitz                    32.0      87.0   \n",
       "4977             Color     Morgan Spurlock                   193.0     100.0   \n",
       "4978             Color       Brandon Trost                    66.0      82.0   \n",
       "4979             Color        Joe Swanberg                    65.0      82.0   \n",
       "4984             Color        Edward Burns                    36.0      98.0   \n",
       "4987             Color         Lena Dunham                   113.0      98.0   \n",
       "4997             Color  David Gordon Green                    75.0      90.0   \n",
       "4998             Color        Kevin Jordan                    21.0      90.0   \n",
       "5008   Black and White         Kevin Smith                   136.0     102.0   \n",
       "5011             Color         Neil LaBute                    80.0      97.0   \n",
       "5012             Color          David Ayer                   233.0     109.0   \n",
       "5015   Black and White   Richard Linklater                    61.0     100.0   \n",
       "5025             Color         John Waters                    73.0     108.0   \n",
       "5026             Color     Olivier Assayas                    81.0     110.0   \n",
       "5027             Color        Jafar Panahi                    64.0      90.0   \n",
       "5033             Color       Shane Carruth                   143.0      77.0   \n",
       "5035             Color    Robert Rodriguez                    56.0      81.0   \n",
       "5042             Color            Jon Gunn                    43.0      90.0   \n",
       "\n",
       "      director_facebook_likes  actor_3_facebook_likes          actor_2_name  \\\n",
       "0                         0.0                   855.0      Joel David Moore   \n",
       "1                       563.0                  1000.0         Orlando Bloom   \n",
       "2                         0.0                   161.0          Rory Kinnear   \n",
       "3                     22000.0                 23000.0        Christian Bale   \n",
       "5                       475.0                   530.0       Samantha Morton   \n",
       "6                         0.0                  4000.0          James Franco   \n",
       "7                        15.0                   284.0          Donna Murphy   \n",
       "8                         0.0                 19000.0     Robert Downey Jr.   \n",
       "9                       282.0                 10000.0      Daniel Radcliffe   \n",
       "10                        0.0                  2000.0          Lauren Cohan   \n",
       "11                        0.0                   903.0         Marlon Brando   \n",
       "12                      395.0                   393.0       Mathieu Amalric   \n",
       "13                      563.0                  1000.0         Orlando Bloom   \n",
       "14                      563.0                  1000.0           Ruth Wilson   \n",
       "15                        0.0                   748.0    Christopher Meloni   \n",
       "16                       80.0                   201.0  Pierfrancesco Favino   \n",
       "17                        0.0                 19000.0     Robert Downey Jr.   \n",
       "18                      252.0                  1000.0           Sam Claflin   \n",
       "19                      188.0                   718.0     Michael Stuhlbarg   \n",
       "20                        0.0                   773.0            Adam Brown   \n",
       "21                      464.0                   963.0       Andrew Garfield   \n",
       "22                        0.0                   738.0          William Hurt   \n",
       "23                        0.0                   773.0            Adam Brown   \n",
       "24                      129.0                  1000.0             Eva Green   \n",
       "25                        0.0                    84.0    Thomas Kretschmann   \n",
       "26                        0.0                   794.0          Kate Winslet   \n",
       "27                       94.0                 11000.0    Scarlett Johansson   \n",
       "28                      532.0                   627.0   Alexander Skarsgård   \n",
       "29                      365.0                  1000.0            Judy Greer   \n",
       "30                        0.0                   393.0         Helen McCrory   \n",
       "...                       ...                     ...                   ...   \n",
       "4930                     56.0                   184.0        Aaron Stanford   \n",
       "4931                    109.0                    18.0       Markéta Irglová   \n",
       "4933                      0.0                     2.0        Rowan Isaacson   \n",
       "4936                    365.0                   177.0            Edwin Neal   \n",
       "4941                    909.0                    42.0             Pat Boone   \n",
       "4955                    589.0                    51.0           Erin Bethea   \n",
       "4956                      3.0                     7.0       Cassidy Gifford   \n",
       "4959                    467.0                   287.0   Keenen Ivory Wayans   \n",
       "4962                     56.0                    56.0            Brian Howe   \n",
       "4964                      3.0                   307.0           Ethan Embry   \n",
       "4971                     29.0                   616.0         Monica Potter   \n",
       "4973                      0.0                   194.0         Clint Mansell   \n",
       "4975                      0.0                   153.0          Tom Ardavany   \n",
       "4977                    293.0                     0.0        Amanda Kearsan   \n",
       "4978                     32.0                   128.0           Sean Whalen   \n",
       "4979                    217.0                   442.0           Lena Dunham   \n",
       "4984                      0.0                    73.0       Michael McGlone   \n",
       "4987                    969.0                   433.0         Merritt Wever   \n",
       "4997                    234.0                    15.0           Eddie Rouse   \n",
       "4998                      4.0                   113.0        Christa Miller   \n",
       "5008                      0.0                   216.0      Brian O'Halloran   \n",
       "5011                    119.0                     7.0           Matt Malloy   \n",
       "5012                    453.0                   120.0        Martin Donovan   \n",
       "5015                      0.0                     0.0     Richard Linklater   \n",
       "5025                      0.0                   105.0            Mink Stole   \n",
       "5026                    107.0                    45.0        Béatrice Dalle   \n",
       "5027                    397.0                     0.0     Nargess Mamizadeh   \n",
       "5033                    291.0                     8.0        David Sullivan   \n",
       "5035                      0.0                     6.0       Peter Marquardt   \n",
       "5042                     16.0                    16.0      Brian Herzlinger   \n",
       "\n",
       "      actor_1_facebook_likes        gross  \\\n",
       "0                     1000.0  760505847.0   \n",
       "1                    40000.0  309404152.0   \n",
       "2                    11000.0  200074175.0   \n",
       "3                    27000.0  448130642.0   \n",
       "5                      640.0   73058679.0   \n",
       "6                    24000.0  336530303.0   \n",
       "7                      799.0  200807262.0   \n",
       "8                    26000.0  458991599.0   \n",
       "9                    25000.0  301956980.0   \n",
       "10                   15000.0  330249062.0   \n",
       "11                   18000.0  200069408.0   \n",
       "12                     451.0  168368427.0   \n",
       "13                   40000.0  423032628.0   \n",
       "14                   40000.0   89289910.0   \n",
       "15                   15000.0  291021565.0   \n",
       "16                   22000.0  141614023.0   \n",
       "17                   26000.0  623279547.0   \n",
       "18                   40000.0  241063875.0   \n",
       "19                   10000.0  179020854.0   \n",
       "20                    5000.0  255108370.0   \n",
       "21                   15000.0  262030663.0   \n",
       "22                     891.0  105219735.0   \n",
       "23                    5000.0  258355354.0   \n",
       "24                   16000.0   70083519.0   \n",
       "25                    6000.0  218051260.0   \n",
       "26                   29000.0  658672302.0   \n",
       "27                   21000.0  407197282.0   \n",
       "28                   14000.0   65173160.0   \n",
       "29                    3000.0  652177271.0   \n",
       "30                     883.0  304360277.0   \n",
       "...                      ...          ...   \n",
       "4930                   376.0    2882062.0   \n",
       "4931                   200.0    9437933.0   \n",
       "4933                    58.0     155984.0   \n",
       "4936                   383.0   30859000.0   \n",
       "4941                   909.0    6706368.0   \n",
       "4955                   589.0   10174663.0   \n",
       "4956                   220.0   22757819.0   \n",
       "4959                   467.0    5228617.0   \n",
       "4962                   126.0     110536.0   \n",
       "4964                  3000.0      59379.0   \n",
       "4971                   956.0   32721635.0   \n",
       "4973                  1000.0    3216970.0   \n",
       "4975                  1000.0     536767.0   \n",
       "4977                     0.0   11529368.0   \n",
       "4978                   968.0      40557.0   \n",
       "4979                 10000.0      30084.0   \n",
       "4984                   138.0   10246600.0   \n",
       "4987                   969.0     389804.0   \n",
       "4997                   552.0     241816.0   \n",
       "4998                 20000.0     277233.0   \n",
       "5008                   898.0    3151130.0   \n",
       "5011                   136.0    2856622.0   \n",
       "5012                  1000.0   10499968.0   \n",
       "5015                     5.0    1227508.0   \n",
       "5025                   462.0     180483.0   \n",
       "5026                   576.0     136007.0   \n",
       "5027                     5.0     673780.0   \n",
       "5033                   291.0     424760.0   \n",
       "5035                   121.0    2040920.0   \n",
       "5042                    86.0      85222.0   \n",
       "\n",
       "                                                 genres         ...           \\\n",
       "0                       Action|Adventure|Fantasy|Sci-Fi         ...            \n",
       "1                              Action|Adventure|Fantasy         ...            \n",
       "2                             Action|Adventure|Thriller         ...            \n",
       "3                                       Action|Thriller         ...            \n",
       "5                               Action|Adventure|Sci-Fi         ...            \n",
       "6                              Action|Adventure|Romance         ...            \n",
       "7     Adventure|Animation|Comedy|Family|Fantasy|Musi...         ...            \n",
       "8                               Action|Adventure|Sci-Fi         ...            \n",
       "9                      Adventure|Family|Fantasy|Mystery         ...            \n",
       "10                              Action|Adventure|Sci-Fi         ...            \n",
       "11                              Action|Adventure|Sci-Fi         ...            \n",
       "12                                     Action|Adventure         ...            \n",
       "13                             Action|Adventure|Fantasy         ...            \n",
       "14                             Action|Adventure|Western         ...            \n",
       "15                      Action|Adventure|Fantasy|Sci-Fi         ...            \n",
       "16                      Action|Adventure|Family|Fantasy         ...            \n",
       "17                              Action|Adventure|Sci-Fi         ...            \n",
       "18                             Action|Adventure|Fantasy         ...            \n",
       "19        Action|Adventure|Comedy|Family|Fantasy|Sci-Fi         ...            \n",
       "20                                    Adventure|Fantasy         ...            \n",
       "21                             Action|Adventure|Fantasy         ...            \n",
       "22                       Action|Adventure|Drama|History         ...            \n",
       "23                                    Adventure|Fantasy         ...            \n",
       "24                             Adventure|Family|Fantasy         ...            \n",
       "25                       Action|Adventure|Drama|Romance         ...            \n",
       "26                                        Drama|Romance         ...            \n",
       "27                              Action|Adventure|Sci-Fi         ...            \n",
       "28                     Action|Adventure|Sci-Fi|Thriller         ...            \n",
       "29                     Action|Adventure|Sci-Fi|Thriller         ...            \n",
       "30                            Action|Adventure|Thriller         ...            \n",
       "...                                                 ...         ...            \n",
       "4930                               Comedy|Drama|Romance         ...            \n",
       "4931                                Drama|Music|Romance         ...            \n",
       "4933                                        Documentary         ...            \n",
       "4936                                    Horror|Thriller         ...            \n",
       "4941                                        Documentary         ...            \n",
       "4955                                        Drama|Sport         ...            \n",
       "4956                                    Horror|Thriller         ...            \n",
       "4959                                             Comedy         ...            \n",
       "4962                               Comedy|Horror|Sci-Fi         ...            \n",
       "4964                 Comedy|Crime|Drama|Horror|Thriller         ...            \n",
       "4971                              Crime|Horror|Thriller         ...            \n",
       "4973                             Drama|Mystery|Thriller         ...            \n",
       "4975                           Biography|Comedy|Romance         ...            \n",
       "4977                           Comedy|Documentary|Drama         ...            \n",
       "4978                                             Comedy         ...            \n",
       "4979                                       Comedy|Drama         ...            \n",
       "4984                               Comedy|Drama|Romance         ...            \n",
       "4987                               Comedy|Drama|Romance         ...            \n",
       "4997                                              Drama         ...            \n",
       "4998                                     Comedy|Romance         ...            \n",
       "5008                                             Comedy         ...            \n",
       "5011                                       Comedy|Drama         ...            \n",
       "5012                        Action|Crime|Drama|Thriller         ...            \n",
       "5015                                       Comedy|Drama         ...            \n",
       "5025                                Comedy|Crime|Horror         ...            \n",
       "5026                                Drama|Music|Romance         ...            \n",
       "5027                                              Drama         ...            \n",
       "5033                              Drama|Sci-Fi|Thriller         ...            \n",
       "5035                Action|Crime|Drama|Romance|Thriller         ...            \n",
       "5042                                        Documentary         ...            \n",
       "\n",
       "     num_user_for_reviews language      country  content_rating       budget  \\\n",
       "0                  3054.0  English          USA           PG-13  237000000.0   \n",
       "1                  1238.0  English          USA           PG-13  300000000.0   \n",
       "2                   994.0  English           UK           PG-13  245000000.0   \n",
       "3                  2701.0  English          USA           PG-13  250000000.0   \n",
       "5                   738.0  English          USA           PG-13  263700000.0   \n",
       "6                  1902.0  English          USA           PG-13  258000000.0   \n",
       "7                   387.0  English          USA              PG  260000000.0   \n",
       "8                  1117.0  English          USA           PG-13  250000000.0   \n",
       "9                   973.0  English           UK              PG  250000000.0   \n",
       "10                 3018.0  English          USA           PG-13  250000000.0   \n",
       "11                 2367.0  English          USA           PG-13  209000000.0   \n",
       "12                 1243.0  English           UK           PG-13  200000000.0   \n",
       "13                 1832.0  English          USA           PG-13  225000000.0   \n",
       "14                  711.0  English          USA           PG-13  215000000.0   \n",
       "15                 2536.0  English          USA           PG-13  225000000.0   \n",
       "16                  438.0  English          USA              PG  225000000.0   \n",
       "17                 1722.0  English          USA           PG-13  220000000.0   \n",
       "18                  484.0  English          USA           PG-13  250000000.0   \n",
       "19                  341.0  English          USA           PG-13  225000000.0   \n",
       "20                  802.0  English  New Zealand           PG-13  250000000.0   \n",
       "21                 1225.0  English          USA           PG-13  230000000.0   \n",
       "22                  546.0  English          USA           PG-13  200000000.0   \n",
       "23                  951.0  English          USA           PG-13  225000000.0   \n",
       "24                  666.0  English          USA           PG-13  180000000.0   \n",
       "25                 2618.0  English  New Zealand           PG-13  207000000.0   \n",
       "26                 2528.0  English          USA           PG-13  200000000.0   \n",
       "27                 1022.0  English          USA           PG-13  250000000.0   \n",
       "28                  751.0  English          USA           PG-13  209000000.0   \n",
       "29                 1290.0  English          USA           PG-13  150000000.0   \n",
       "30                 1498.0  English           UK           PG-13  200000000.0   \n",
       "...                   ...      ...          ...             ...          ...   \n",
       "4930                101.0  English          USA           PG-13     150000.0   \n",
       "4931                329.0  English      Ireland               R     180000.0   \n",
       "4933                  9.0  English          USA         Unrated     160000.0   \n",
       "4936                826.0  English          USA               R      83532.0   \n",
       "4941                133.0  English          USA               R     160000.0   \n",
       "4955                382.0  English          USA              PG     100000.0   \n",
       "4956                150.0  English          USA               R     100000.0   \n",
       "4959                 32.0  English          USA               R     100000.0   \n",
       "4962                118.0  English          USA              PG      40000.0   \n",
       "4964                 52.0  English          USA       Not Rated     200000.0   \n",
       "4971                279.0  English          USA               R   15000000.0   \n",
       "4973                586.0  English          USA               R      60000.0   \n",
       "4975                 83.0  English          USA               R      60000.0   \n",
       "4977                404.0  English          USA              PG      65000.0   \n",
       "4978                 22.0  English          USA               R      60000.0   \n",
       "4979                 23.0  English          USA               R      70000.0   \n",
       "4984                 36.0  English          USA               R      25000.0   \n",
       "4987                 35.0  English          USA       Not Rated      65000.0   \n",
       "4997                 76.0  English          USA         Unrated      42000.0   \n",
       "4998                 26.0  English          USA               R      40000.0   \n",
       "5008                615.0  English          USA               R     230000.0   \n",
       "5011                197.0  English       Canada               R      25000.0   \n",
       "5012                212.0  English          USA               R   35000000.0   \n",
       "5015                 80.0  English          USA               R      23000.0   \n",
       "5025                183.0  English          USA           NC-17      10000.0   \n",
       "5026                 39.0   French       France               R       4500.0   \n",
       "5027                 26.0  Persian         Iran       Not Rated      10000.0   \n",
       "5033                371.0  English          USA           PG-13       7000.0   \n",
       "5035                130.0  Spanish          USA               R       7000.0   \n",
       "5042                 84.0  English          USA              PG       1100.0   \n",
       "\n",
       "      title_year actor_2_facebook_likes imdb_score  aspect_ratio  \\\n",
       "0         2009.0                  936.0        7.9          1.78   \n",
       "1         2007.0                 5000.0        7.1          2.35   \n",
       "2         2015.0                  393.0        6.8          2.35   \n",
       "3         2012.0                23000.0        8.5          2.35   \n",
       "5         2012.0                  632.0        6.6          2.35   \n",
       "6         2007.0                11000.0        6.2          2.35   \n",
       "7         2010.0                  553.0        7.8          1.85   \n",
       "8         2015.0                21000.0        7.5          2.35   \n",
       "9         2009.0                11000.0        7.5          2.35   \n",
       "10        2016.0                 4000.0        6.9          2.35   \n",
       "11        2006.0                10000.0        6.1          2.35   \n",
       "12        2008.0                  412.0        6.7          2.35   \n",
       "13        2006.0                 5000.0        7.3          2.35   \n",
       "14        2013.0                 2000.0        6.5          2.35   \n",
       "15        2013.0                 3000.0        7.2          2.35   \n",
       "16        2008.0                  216.0        6.6          2.35   \n",
       "17        2012.0                21000.0        8.1          1.85   \n",
       "18        2011.0                11000.0        6.7          2.35   \n",
       "19        2012.0                  816.0        6.8          1.85   \n",
       "20        2014.0                  972.0        7.5          2.35   \n",
       "21        2012.0                10000.0        7.0          2.35   \n",
       "22        2010.0                  882.0        6.7          2.35   \n",
       "23        2013.0                  972.0        7.9          2.35   \n",
       "24        2007.0                 6000.0        6.1          2.35   \n",
       "25        2005.0                  919.0        7.2          2.35   \n",
       "26        1997.0                14000.0        7.7          2.35   \n",
       "27        2016.0                19000.0        8.2          2.35   \n",
       "28        2012.0                10000.0        5.9          2.35   \n",
       "29        2015.0                 2000.0        7.0          2.00   \n",
       "30        2012.0                  563.0        7.8          2.35   \n",
       "...          ...                    ...        ...           ...   \n",
       "4930      2000.0                  346.0        6.3          1.85   \n",
       "4931      2007.0                   96.0        7.9          1.85   \n",
       "4933      2009.0                    2.0        7.4          1.85   \n",
       "4936      1974.0                  371.0        7.5          1.85   \n",
       "4941      1989.0                   91.0        7.5          1.66   \n",
       "4955      2006.0                  150.0        6.7          1.85   \n",
       "4956      2015.0                   40.0        4.2          1.85   \n",
       "4959      1987.0                  322.0        7.0          1.85   \n",
       "4962      2001.0                   76.0        7.0          1.85   \n",
       "4964      2013.0                  982.0        6.8          2.35   \n",
       "4971      2009.0                  878.0        6.6          1.85   \n",
       "4973      1998.0                  512.0        7.5          1.66   \n",
       "4975      1998.0                  184.0        5.3          1.85   \n",
       "4977      2004.0                    0.0        7.3          1.78   \n",
       "4978      2011.0                  407.0        5.6          2.35   \n",
       "4979      2014.0                  969.0        5.6          1.85   \n",
       "4984      1995.0                  111.0        6.6          1.85   \n",
       "4987      2010.0                  529.0        6.3          2.35   \n",
       "4997      2000.0                   61.0        7.5          2.35   \n",
       "4998      1999.0                  467.0        7.6          1.85   \n",
       "5008      1994.0                  657.0        7.8          1.37   \n",
       "5011      1997.0                  108.0        7.3          1.85   \n",
       "5012      2014.0                  206.0        5.7          1.85   \n",
       "5015      1991.0                    0.0        7.1          1.37   \n",
       "5025      1972.0                  143.0        6.1          1.37   \n",
       "5026      2004.0                  133.0        6.9          2.35   \n",
       "5027      2000.0                    0.0        7.5          1.85   \n",
       "5033      2004.0                   45.0        7.0          1.85   \n",
       "5035      1992.0                   20.0        6.9          1.37   \n",
       "5042      2004.0                   23.0        6.6          1.85   \n",
       "\n",
       "     movie_facebook_likes  \n",
       "0                   33000  \n",
       "1                       0  \n",
       "2                   85000  \n",
       "3                  164000  \n",
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       "15                 118000  \n",
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       "18                  58000  \n",
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       "24                      0  \n",
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       "28                  44000  \n",
       "29                 150000  \n",
       "30                  80000  \n",
       "...                   ...  \n",
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       "5035                    0  \n",
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       "\n",
       "[3756 rows x 28 columns]"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Display data\n",
    "data"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "For simplicity, only numerical features are considered. Among the numerical features, these particular features were selected by looking at the weights of all numerical features in a trained pooled model and selecting the most important ones."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "# Features to consider\n",
    "features = ['num_critic_for_reviews', 'num_user_for_reviews', 'director_facebook_likes', 'num_voted_users',\n",
    "            'cast_total_facebook_likes', 'imdb_score', 'actor_3_facebook_likes', 'actor_2_facebook_likes',\n",
    "            'actor_1_facebook_likes']\n",
    "\n",
    "# Feature to predict\n",
    "predict_feature = 'gross'"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The data is normalized by subtracting the mean and dividing by the standard deviation."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "# Normalize the data\n",
    "for f in features:\n",
    "    data[f] -= data[f].mean()\n",
    "    data[f] /= data[f].std()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let us put the selected features into a `dict` so that it can be passed to the stan model."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "# Extract specified features\n",
    "train_data = dict(N=len(data), P=len(features)+1)\n",
    "for feature in features:\n",
    "    train_data[feature] = data[feature].values\n",
    "train_data[predict_feature] = data[predict_feature].values"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Pooled Model\n",
    "\n",
    "In a pooled model, we do not hierarchically split the data but consider that all the samples are generated from the same distribution. It is a standard bayesian linear regression model. Here, we automatically generate the code for the stan model according to the features selected."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "data {\n",
      "  int<lower=0> N;\n",
      "  int<lower=0> P;\n",
      "  real num_critic_for_reviews[N];\n",
      "  real num_user_for_reviews[N];\n",
      "  real director_facebook_likes[N];\n",
      "  real num_voted_users[N];\n",
      "  real cast_total_facebook_likes[N];\n",
      "  real imdb_score[N];\n",
      "  real actor_3_facebook_likes[N];\n",
      "  real actor_2_facebook_likes[N];\n",
      "  real actor_1_facebook_likes[N];\n",
      "  real gross[N];\n",
      "}\n",
      "parameters {\n",
      "  real beta[P];\n",
      "  real<lower=0> sigma;\n",
      "}\n",
      "transformed parameters {\n",
      "  real mu[N];\n",
      "  for (i in 1:N) {\n",
      "    mu[i] <- beta[1] + beta[2]*num_critic_for_reviews[i] + beta[3]*num_user_for_reviews[i] + beta[4]*director_facebook_likes[i] + beta[5]*num_voted_users[i] + beta[6]*cast_total_facebook_likes[i] + beta[7]*imdb_score[i] + beta[8]*actor_3_facebook_likes[i] + beta[9]*actor_2_facebook_likes[i] + beta[10]*actor_1_facebook_likes[i];\n",
      "  }\n",
      "}\n",
      "model {\n",
      "  gross ~ normal(mu, sigma);\n",
      "}\n",
      "generated quantities {\n",
      "  vector[N] log_lik;\n",
      "  for (n in 1:N)\n",
      "    log_lik[n] = normal_lpdf(gross[n]|mu[n], sigma);\n",
      "}\n",
      "\n"
     ]
    }
   ],
   "source": [
    "# Generate code for pooled model\n",
    "pooled_model_code = \"\"\"\n",
    "data {\n",
    "  int<lower=0> N;\n",
    "  int<lower=0> P;\\n  \"\"\" +\\\n",
    "  \";\\n  \".join([\"real {}[N]\".format(f) for f in features+[predict_feature]])\\\n",
    "+\"\"\";\\n}\n",
    "parameters {\n",
    "  real beta[P];\n",
    "  real<lower=0> sigma;\n",
    "}\n",
    "transformed parameters {\n",
    "  real mu[N];\n",
    "  for (i in 1:N) {\n",
    "    mu[i] <- beta[1] + \"\"\" +\\\n",
    "    \" + \".join([\"beta[{}]*{}[i]\".format(i+2, features[i]) for i in range(len(features))])\\\n",
    "+ \"\"\";\n",
    "  }\n",
    "}\n",
    "model {\n",
    "  gross ~ normal(mu, sigma);\n",
    "}\n",
    "generated quantities {\n",
    "  vector[N] log_lik;\n",
    "  for (n in 1:N)\n",
    "    log_lik[n] = normal_lpdf(gross[n]|mu[n], sigma);\n",
    "}\n",
    "\"\"\"\n",
    "print(pooled_model_code)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let us now fit the pooled model to the data,"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "INFO:pystan:COMPILING THE C++ CODE FOR MODEL anon_model_f30f01085bf7a526b1a87cb29b258ce5 NOW.\n"
     ]
    }
   ],
   "source": [
    "pooled_model_fit = pystan.stan(model_code=pooled_model_code, data=train_data, iter=2000, chains=2)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Extracting samples from the learned model and printing the model fit,"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "# Extract samples\n",
    "pooled_model_trace = pooled_model_fit.extract(permuted=True)\n",
    "# print(pooled_model_fit)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "All the Rhat values are 1.0 which means that the sampling has completely converged.\n",
    "\n",
    "Let us now plot the learned weights of each feature to see how each attribute of a movie affects it's revenue."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
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       "    this.message = status_bar[0];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.request_resize = function(x_pixels, y_pixels) {\n",
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       "}\n",
       "\n",
       "mpl.figure.prototype.send_message = function(type, properties) {\n",
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       "}\n",
       "\n",
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       "    if (!this.waiting) {\n",
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       "        this.ws.send(JSON.stringify({type: \"draw\", figure_id: this.id}));\n",
       "    }\n",
       "}\n",
       "\n",
       "\n",
       "mpl.figure.prototype.handle_save = function(fig, msg) {\n",
       "    var format_dropdown = fig.format_dropdown;\n",
       "    var format = format_dropdown.options[format_dropdown.selectedIndex].value;\n",
       "    fig.ondownload(fig, format);\n",
       "}\n",
       "\n",
       "\n",
       "mpl.figure.prototype.handle_resize = function(fig, msg) {\n",
       "    var size = msg['size'];\n",
       "    if (size[0] != fig.canvas.width || size[1] != fig.canvas.height) {\n",
       "        fig._resize_canvas(size[0], size[1]);\n",
       "        fig.send_message(\"refresh\", {});\n",
       "    };\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_rubberband = function(fig, msg) {\n",
       "    var x0 = msg['x0'] / mpl.ratio;\n",
       "    var y0 = (fig.canvas.height - msg['y0']) / mpl.ratio;\n",
       "    var x1 = msg['x1'] / mpl.ratio;\n",
       "    var y1 = (fig.canvas.height - msg['y1']) / mpl.ratio;\n",
       "    x0 = Math.floor(x0) + 0.5;\n",
       "    y0 = Math.floor(y0) + 0.5;\n",
       "    x1 = Math.floor(x1) + 0.5;\n",
       "    y1 = Math.floor(y1) + 0.5;\n",
       "    var min_x = Math.min(x0, x1);\n",
       "    var min_y = Math.min(y0, y1);\n",
       "    var width = Math.abs(x1 - x0);\n",
       "    var height = Math.abs(y1 - y0);\n",
       "\n",
       "    fig.rubberband_context.clearRect(\n",
       "        0, 0, fig.canvas.width, fig.canvas.height);\n",
       "\n",
       "    fig.rubberband_context.strokeRect(min_x, min_y, width, height);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_figure_label = function(fig, msg) {\n",
       "    // Updates the figure title.\n",
       "    fig.header.textContent = msg['label'];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_cursor = function(fig, msg) {\n",
       "    var cursor = msg['cursor'];\n",
       "    switch(cursor)\n",
       "    {\n",
       "    case 0:\n",
       "        cursor = 'pointer';\n",
       "        break;\n",
       "    case 1:\n",
       "        cursor = 'default';\n",
       "        break;\n",
       "    case 2:\n",
       "        cursor = 'crosshair';\n",
       "        break;\n",
       "    case 3:\n",
       "        cursor = 'move';\n",
       "        break;\n",
       "    }\n",
       "    fig.rubberband_canvas.style.cursor = cursor;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_message = function(fig, msg) {\n",
       "    fig.message.textContent = msg['message'];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_draw = function(fig, msg) {\n",
       "    // Request the server to send over a new figure.\n",
       "    fig.send_draw_message();\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_image_mode = function(fig, msg) {\n",
       "    fig.image_mode = msg['mode'];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function() {\n",
       "    // Called whenever the canvas gets updated.\n",
       "    this.send_message(\"ack\", {});\n",
       "}\n",
       "\n",
       "// A function to construct a web socket function for onmessage handling.\n",
       "// Called in the figure constructor.\n",
       "mpl.figure.prototype._make_on_message_function = function(fig) {\n",
       "    return function socket_on_message(evt) {\n",
       "        if (evt.data instanceof Blob) {\n",
       "            /* FIXME: We get \"Resource interpreted as Image but\n",
       "             * transferred with MIME type text/plain:\" errors on\n",
       "             * Chrome.  But how to set the MIME type?  It doesn't seem\n",
       "             * to be part of the websocket stream */\n",
       "            evt.data.type = \"image/png\";\n",
       "\n",
       "            /* Free the memory for the previous frames */\n",
       "            if (fig.imageObj.src) {\n",
       "                (window.URL || window.webkitURL).revokeObjectURL(\n",
       "                    fig.imageObj.src);\n",
       "            }\n",
       "\n",
       "            fig.imageObj.src = (window.URL || window.webkitURL).createObjectURL(\n",
       "                evt.data);\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        }\n",
       "        else if (typeof evt.data === 'string' && evt.data.slice(0, 21) == \"data:image/png;base64\") {\n",
       "            fig.imageObj.src = evt.data;\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        var msg = JSON.parse(evt.data);\n",
       "        var msg_type = msg['type'];\n",
       "\n",
       "        // Call the  \"handle_{type}\" callback, which takes\n",
       "        // the figure and JSON message as its only arguments.\n",
       "        try {\n",
       "            var callback = fig[\"handle_\" + msg_type];\n",
       "        } catch (e) {\n",
       "            console.log(\"No handler for the '\" + msg_type + \"' message type: \", msg);\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        if (callback) {\n",
       "            try {\n",
       "                // console.log(\"Handling '\" + msg_type + \"' message: \", msg);\n",
       "                callback(fig, msg);\n",
       "            } catch (e) {\n",
       "                console.log(\"Exception inside the 'handler_\" + msg_type + \"' callback:\", e, e.stack, msg);\n",
       "            }\n",
       "        }\n",
       "    };\n",
       "}\n",
       "\n",
       "// from http://stackoverflow.com/questions/1114465/getting-mouse-location-in-canvas\n",
       "mpl.findpos = function(e) {\n",
       "    //this section is from http://www.quirksmode.org/js/events_properties.html\n",
       "    var targ;\n",
       "    if (!e)\n",
       "        e = window.event;\n",
       "    if (e.target)\n",
       "        targ = e.target;\n",
       "    else if (e.srcElement)\n",
       "        targ = e.srcElement;\n",
       "    if (targ.nodeType == 3) // defeat Safari bug\n",
       "        targ = targ.parentNode;\n",
       "\n",
       "    // jQuery normalizes the pageX and pageY\n",
       "    // pageX,Y are the mouse positions relative to the document\n",
       "    // offset() returns the position of the element relative to the document\n",
       "    var x = e.pageX - $(targ).offset().left;\n",
       "    var y = e.pageY - $(targ).offset().top;\n",
       "\n",
       "    return {\"x\": x, \"y\": y};\n",
       "};\n",
       "\n",
       "/*\n",
       " * return a copy of an object with only non-object keys\n",
       " * we need this to avoid circular references\n",
       " * http://stackoverflow.com/a/24161582/3208463\n",
       " */\n",
       "function simpleKeys (original) {\n",
       "  return Object.keys(original).reduce(function (obj, key) {\n",
       "    if (typeof original[key] !== 'object')\n",
       "        obj[key] = original[key]\n",
       "    return obj;\n",
       "  }, {});\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.mouse_event = function(event, name) {\n",
       "    var canvas_pos = mpl.findpos(event)\n",
       "\n",
       "    if (name === 'button_press')\n",
       "    {\n",
       "        this.canvas.focus();\n",
       "        this.canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    var x = canvas_pos.x * mpl.ratio;\n",
       "    var y = canvas_pos.y * mpl.ratio;\n",
       "\n",
       "    this.send_message(name, {x: x, y: y, button: event.button,\n",
       "                             step: event.step,\n",
       "                             guiEvent: simpleKeys(event)});\n",
       "\n",
       "    /* This prevents the web browser from automatically changing to\n",
       "     * the text insertion cursor when the button is pressed.  We want\n",
       "     * to control all of the cursor setting manually through the\n",
       "     * 'cursor' event from matplotlib */\n",
       "    event.preventDefault();\n",
       "    return false;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function(event, name) {\n",
       "    // Handle any extra behaviour associated with a key event\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.key_event = function(event, name) {\n",
       "\n",
       "    // Prevent repeat events\n",
       "    if (name == 'key_press')\n",
       "    {\n",
       "        if (event.which === this._key)\n",
       "            return;\n",
       "        else\n",
       "            this._key = event.which;\n",
       "    }\n",
       "    if (name == 'key_release')\n",
       "        this._key = null;\n",
       "\n",
       "    var value = '';\n",
       "    if (event.ctrlKey && event.which != 17)\n",
       "        value += \"ctrl+\";\n",
       "    if (event.altKey && event.which != 18)\n",
       "        value += \"alt+\";\n",
       "    if (event.shiftKey && event.which != 16)\n",
       "        value += \"shift+\";\n",
       "\n",
       "    value += 'k';\n",
       "    value += event.which.toString();\n",
       "\n",
       "    this._key_event_extra(event, name);\n",
       "\n",
       "    this.send_message(name, {key: value,\n",
       "                             guiEvent: simpleKeys(event)});\n",
       "    return false;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onclick = function(name) {\n",
       "    if (name == 'download') {\n",
       "        this.handle_save(this, null);\n",
       "    } else {\n",
       "        this.send_message(\"toolbar_button\", {name: name});\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onmouseover = function(tooltip) {\n",
       "    this.message.textContent = tooltip;\n",
       "};\n",
       "mpl.toolbar_items = [[\"Home\", \"Reset original view\", \"fa fa-home icon-home\", \"home\"], [\"Back\", \"Back to  previous view\", \"fa fa-arrow-left icon-arrow-left\", \"back\"], [\"Forward\", \"Forward to next view\", \"fa fa-arrow-right icon-arrow-right\", \"forward\"], [\"\", \"\", \"\", \"\"], [\"Pan\", \"Pan axes with left mouse, zoom with right\", \"fa fa-arrows icon-move\", \"pan\"], [\"Zoom\", \"Zoom to rectangle\", \"fa fa-square-o icon-check-empty\", \"zoom\"], [\"\", \"\", \"\", \"\"], [\"Download\", \"Download plot\", \"fa fa-floppy-o icon-save\", \"download\"]];\n",
       "\n",
       "mpl.extensions = [\"eps\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\"];\n",
       "\n",
       "mpl.default_extension = \"png\";var comm_websocket_adapter = function(comm) {\n",
       "    // Create a \"websocket\"-like object which calls the given IPython comm\n",
       "    // object with the appropriate methods. Currently this is a non binary\n",
       "    // socket, so there is still some room for performance tuning.\n",
       "    var ws = {};\n",
       "\n",
       "    ws.close = function() {\n",
       "        comm.close()\n",
       "    };\n",
       "    ws.send = function(m) {\n",
       "        //console.log('sending', m);\n",
       "        comm.send(m);\n",
       "    };\n",
       "    // Register the callback with on_msg.\n",
       "    comm.on_msg(function(msg) {\n",
       "        //console.log('receiving', msg['content']['data'], msg);\n",
       "        // Pass the mpl event to the overriden (by mpl) onmessage function.\n",
       "        ws.onmessage(msg['content']['data'])\n",
       "    });\n",
       "    return ws;\n",
       "}\n",
       "\n",
       "mpl.mpl_figure_comm = function(comm, msg) {\n",
       "    // This is the function which gets called when the mpl process\n",
       "    // starts-up an IPython Comm through the \"matplotlib\" channel.\n",
       "\n",
       "    var id = msg.content.data.id;\n",
       "    // Get hold of the div created by the display call when the Comm\n",
       "    // socket was opened in Python.\n",
       "    var element = $(\"#\" + id);\n",
       "    var ws_proxy = comm_websocket_adapter(comm)\n",
       "\n",
       "    function ondownload(figure, format) {\n",
       "        window.open(figure.imageObj.src);\n",
       "    }\n",
       "\n",
       "    var fig = new mpl.figure(id, ws_proxy,\n",
       "                           ondownload,\n",
       "                           element.get(0));\n",
       "\n",
       "    // Call onopen now - mpl needs it, as it is assuming we've passed it a real\n",
       "    // web socket which is closed, not our websocket->open comm proxy.\n",
       "    ws_proxy.onopen();\n",
       "\n",
       "    fig.parent_element = element.get(0);\n",
       "    fig.cell_info = mpl.find_output_cell(\"<div id='\" + id + \"'></div>\");\n",
       "    if (!fig.cell_info) {\n",
       "        console.error(\"Failed to find cell for figure\", id, fig);\n",
       "        return;\n",
       "    }\n",
       "\n",
       "    var output_index = fig.cell_info[2]\n",
       "    var cell = fig.cell_info[0];\n",
       "\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_close = function(fig, msg) {\n",
       "    var width = fig.canvas.width/mpl.ratio\n",
       "    fig.root.unbind('remove')\n",
       "\n",
       "    // Update the output cell to use the data from the current canvas.\n",
       "    fig.push_to_output();\n",
       "    var dataURL = fig.canvas.toDataURL();\n",
       "    // Re-enable the keyboard manager in IPython - without this line, in FF,\n",
       "    // the notebook keyboard shortcuts fail.\n",
       "    IPython.keyboard_manager.enable()\n",
       "    $(fig.parent_element).html('<img src=\"' + dataURL + '\" width=\"' + width + '\">');\n",
       "    fig.close_ws(fig, msg);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.close_ws = function(fig, msg){\n",
       "    fig.send_message('closing', msg);\n",
       "    // fig.ws.close()\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.push_to_output = function(remove_interactive) {\n",
       "    // Turn the data on the canvas into data in the output cell.\n",
       "    var width = this.canvas.width/mpl.ratio\n",
       "    var dataURL = this.canvas.toDataURL();\n",
       "    this.cell_info[1]['text/html'] = '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function() {\n",
       "    // Tell IPython that the notebook contents must change.\n",
       "    IPython.notebook.set_dirty(true);\n",
       "    this.send_message(\"ack\", {});\n",
       "    var fig = this;\n",
       "    // Wait a second, then push the new image to the DOM so\n",
       "    // that it is saved nicely (might be nice to debounce this).\n",
       "    setTimeout(function () { fig.push_to_output() }, 1000);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function() {\n",
       "    var fig = this;\n",
       "\n",
       "    var nav_element = $('<div/>')\n",
       "    nav_element.attr('style', 'width: 100%');\n",
       "    this.root.append(nav_element);\n",
       "\n",
       "    // Define a callback function for later on.\n",
       "    function toolbar_event(event) {\n",
       "        return fig.toolbar_button_onclick(event['data']);\n",
       "    }\n",
       "    function toolbar_mouse_event(event) {\n",
       "        return fig.toolbar_button_onmouseover(event['data']);\n",
       "    }\n",
       "\n",
       "    for(var toolbar_ind in mpl.toolbar_items){\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) { continue; };\n",
       "\n",
       "        var button = $('<button class=\"btn btn-default\" href=\"#\" title=\"' + name + '\"><i class=\"fa ' + image + ' fa-lg\"></i></button>');\n",
       "        button.click(method_name, toolbar_event);\n",
       "        button.mouseover(tooltip, toolbar_mouse_event);\n",
       "        nav_element.append(button);\n",
       "    }\n",
       "\n",
       "    // Add the status bar.\n",
       "    var status_bar = $('<span class=\"mpl-message\" style=\"text-align:right; float: right;\"/>');\n",
       "    nav_element.append(status_bar);\n",
       "    this.message = status_bar[0];\n",
       "\n",
       "    // Add the close button to the window.\n",
       "    var buttongrp = $('<div class=\"btn-group inline pull-right\"></div>');\n",
       "    var button = $('<button class=\"btn btn-mini btn-primary\" href=\"#\" title=\"Stop Interaction\"><i class=\"fa fa-power-off icon-remove icon-large\"></i></button>');\n",
       "    button.click(function (evt) { fig.handle_close(fig, {}); } );\n",
       "    button.mouseover('Stop Interaction', toolbar_mouse_event);\n",
       "    buttongrp.append(button);\n",
       "    var titlebar = this.root.find($('.ui-dialog-titlebar'));\n",
       "    titlebar.prepend(buttongrp);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function(el){\n",
       "    var fig = this\n",
       "    el.on(\"remove\", function(){\n",
       "\tfig.close_ws(fig, {});\n",
       "    });\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function(el){\n",
       "    // this is important to make the div 'focusable\n",
       "    el.attr('tabindex', 0)\n",
       "    // reach out to IPython and tell the keyboard manager to turn it's self\n",
       "    // off when our div gets focus\n",
       "\n",
       "    // location in version 3\n",
       "    if (IPython.notebook.keyboard_manager) {\n",
       "        IPython.notebook.keyboard_manager.register_events(el);\n",
       "    }\n",
       "    else {\n",
       "        // location in version 2\n",
       "        IPython.keyboard_manager.register_events(el);\n",
       "    }\n",
       "\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function(event, name) {\n",
       "    var manager = IPython.notebook.keyboard_manager;\n",
       "    if (!manager)\n",
       "        manager = IPython.keyboard_manager;\n",
       "\n",
       "    // Check for shift+enter\n",
       "    if (event.shiftKey && event.which == 13) {\n",
       "        this.canvas_div.blur();\n",
       "        // select the cell after this one\n",
       "        var index = IPython.notebook.find_cell_index(this.cell_info[0]);\n",
       "        IPython.notebook.select(index + 1);\n",
       "    }\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_save = function(fig, msg) {\n",
       "    fig.ondownload(fig, null);\n",
       "}\n",
       "\n",
       "\n",
       "mpl.find_output_cell = function(html_output) {\n",
       "    // Return the cell and output element which can be found *uniquely* in the notebook.\n",
       "    // Note - this is a bit hacky, but it is done because the \"notebook_saving.Notebook\"\n",
       "    // IPython event is triggered only after the cells have been serialised, which for\n",
       "    // our purposes (turning an active figure into a static one), is too late.\n",
       "    var cells = IPython.notebook.get_cells();\n",
       "    var ncells = cells.length;\n",
       "    for (var i=0; i<ncells; i++) {\n",
       "        var cell = cells[i];\n",
       "        if (cell.cell_type === 'code'){\n",
       "            for (var j=0; j<cell.output_area.outputs.length; j++) {\n",
       "                var data = cell.output_area.outputs[j];\n",
       "                if (data.data) {\n",
       "                    // IPython >= 3 moved mimebundle to data attribute of output\n",
       "                    data = data.data;\n",
       "                }\n",
       "                if (data['text/html'] == html_output) {\n",
       "                    return [cell, data, j];\n",
       "                }\n",
       "            }\n",
       "        }\n",
       "    }\n",
       "}\n",
       "\n",
       "// Register the function which deals with the matplotlib target/channel.\n",
       "// The kernel may be null if the page has been refreshed.\n",
       "if (IPython.notebook.kernel != null) {\n",
       "    IPython.notebook.kernel.comm_manager.register_target('matplotlib', mpl.mpl_figure_comm);\n",
       "}\n"
      ],
      "text/plain": [
       "<IPython.core.display.Javascript object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
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width=\"2400\">"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Plot weights of features\n",
    "betas_fig = plt.figure(figsize=(24, 5))\n",
    "ax = betas_fig.add_subplot(111)\n",
    "ax.boxplot(pooled_model_trace['beta'])\n",
    "plt.xticks(range(1, len(features)+2), ['bias']+features)\n",
    "ax.set_xlabel('Features')\n",
    "ax.spines['right'].set_visible(False)\n",
    "ax.spines['top'].set_visible(False)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Sorting the weights to order the features according to their importance,"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "['director_facebook_likes' 'imdb_score' 'num_user_for_reviews'\n",
      " 'num_critic_for_reviews' 'actor_3_facebook_likes' 'num_voted_users'\n",
      " 'actor_2_facebook_likes' 'bias' 'actor_1_facebook_likes'\n",
      " 'cast_total_facebook_likes']\n"
     ]
    }
   ],
   "source": [
    "print(np.array(['bias']+features)[np.abs(pooled_model_trace['beta'].mean(axis=0)).argsort()])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "It can be seen that the most important features are 'cast_total_facebook_likes' and 'actor_1_facebook_likes'."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Here, we use PSIS-LOO to evaluate the model.\n",
    "\n",
    "### PSIS-LOO \n",
    "\n",
    "[Pareto Smoothed Importance Sampling Leave One Out (PSIS-LOO)](https://arxiv.org/abs/1507.04544) is a recent and robust method for efficient computation of LOO using Pareto Smoothed Importance Sampling (PSIS) which is a new procedure for regularizing importance weights."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Sum of LOO-LPD: -72047.17439292461\n"
     ]
    }
   ],
   "source": [
    "# Pareto Smoothed Importance Sampling Leave One Out (PSIS-LOO) Cross Validation\n",
    "loo, loos, ks = psisloo(pooled_model_trace['log_lik'])\n",
    "print(\"Sum of LOO-LPD: {}\".format(loo))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "application/javascript": [
       "/* Put everything inside the global mpl namespace */\n",
       "window.mpl = {};\n",
       "\n",
       "\n",
       "mpl.get_websocket_type = function() {\n",
       "    if (typeof(WebSocket) !== 'undefined') {\n",
       "        return WebSocket;\n",
       "    } else if (typeof(MozWebSocket) !== 'undefined') {\n",
       "        return MozWebSocket;\n",
       "    } else {\n",
       "        alert('Your browser does not have WebSocket support.' +\n",
       "              'Please try Chrome, Safari or Firefox ≥ 6. ' +\n",
       "              'Firefox 4 and 5 are also supported but you ' +\n",
       "              'have to enable WebSockets in about:config.');\n",
       "    };\n",
       "}\n",
       "\n",
       "mpl.figure = function(figure_id, websocket, ondownload, parent_element) {\n",
       "    this.id = figure_id;\n",
       "\n",
       "    this.ws = websocket;\n",
       "\n",
       "    this.supports_binary = (this.ws.binaryType != undefined);\n",
       "\n",
       "    if (!this.supports_binary) {\n",
       "        var warnings = document.getElementById(\"mpl-warnings\");\n",
       "        if (warnings) {\n",
       "            warnings.style.display = 'block';\n",
       "            warnings.textContent = (\n",
       "                \"This browser does not support binary websocket messages. \" +\n",
       "                    \"Performance may be slow.\");\n",
       "        }\n",
       "    }\n",
       "\n",
       "    this.imageObj = new Image();\n",
       "\n",
       "    this.context = undefined;\n",
       "    this.message = undefined;\n",
       "    this.canvas = undefined;\n",
       "    this.rubberband_canvas = undefined;\n",
       "    this.rubberband_context = undefined;\n",
       "    this.format_dropdown = undefined;\n",
       "\n",
       "    this.image_mode = 'full';\n",
       "\n",
       "    this.root = $('<div/>');\n",
       "    this._root_extra_style(this.root)\n",
       "    this.root.attr('style', 'display: inline-block');\n",
       "\n",
       "    $(parent_element).append(this.root);\n",
       "\n",
       "    this._init_header(this);\n",
       "    this._init_canvas(this);\n",
       "    this._init_toolbar(this);\n",
       "\n",
       "    var fig = this;\n",
       "\n",
       "    this.waiting = false;\n",
       "\n",
       "    this.ws.onopen =  function () {\n",
       "            fig.send_message(\"supports_binary\", {value: fig.supports_binary});\n",
       "            fig.send_message(\"send_image_mode\", {});\n",
       "            if (mpl.ratio != 1) {\n",
       "                fig.send_message(\"set_dpi_ratio\", {'dpi_ratio': mpl.ratio});\n",
       "            }\n",
       "            fig.send_message(\"refresh\", {});\n",
       "        }\n",
       "\n",
       "    this.imageObj.onload = function() {\n",
       "            if (fig.image_mode == 'full') {\n",
       "                // Full images could contain transparency (where diff images\n",
       "                // almost always do), so we need to clear the canvas so that\n",
       "                // there is no ghosting.\n",
       "                fig.context.clearRect(0, 0, fig.canvas.width, fig.canvas.height);\n",
       "            }\n",
       "            fig.context.drawImage(fig.imageObj, 0, 0);\n",
       "        };\n",
       "\n",
       "    this.imageObj.onunload = function() {\n",
       "        this.ws.close();\n",
       "    }\n",
       "\n",
       "    this.ws.onmessage = this._make_on_message_function(this);\n",
       "\n",
       "    this.ondownload = ondownload;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_header = function() {\n",
       "    var titlebar = $(\n",
       "        '<div class=\"ui-dialog-titlebar ui-widget-header ui-corner-all ' +\n",
       "        'ui-helper-clearfix\"/>');\n",
       "    var titletext = $(\n",
       "        '<div class=\"ui-dialog-title\" style=\"width: 100%; ' +\n",
       "        'text-align: center; padding: 3px;\"/>');\n",
       "    titlebar.append(titletext)\n",
       "    this.root.append(titlebar);\n",
       "    this.header = titletext[0];\n",
       "}\n",
       "\n",
       "\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function(canvas_div) {\n",
       "\n",
       "}\n",
       "\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function(canvas_div) {\n",
       "\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_canvas = function() {\n",
       "    var fig = this;\n",
       "\n",
       "    var canvas_div = $('<div/>');\n",
       "\n",
       "    canvas_div.attr('style', 'position: relative; clear: both; outline: 0');\n",
       "\n",
       "    function canvas_keyboard_event(event) {\n",
       "        return fig.key_event(event, event['data']);\n",
       "    }\n",
       "\n",
       "    canvas_div.keydown('key_press', canvas_keyboard_event);\n",
       "    canvas_div.keyup('key_release', canvas_keyboard_event);\n",
       "    this.canvas_div = canvas_div\n",
       "    this._canvas_extra_style(canvas_div)\n",
       "    this.root.append(canvas_div);\n",
       "\n",
       "    var canvas = $('<canvas/>');\n",
       "    canvas.addClass('mpl-canvas');\n",
       "    canvas.attr('style', \"left: 0; top: 0; z-index: 0; outline: 0\")\n",
       "\n",
       "    this.canvas = canvas[0];\n",
       "    this.context = canvas[0].getContext(\"2d\");\n",
       "\n",
       "    var backingStore = this.context.backingStorePixelRatio ||\n",
       "\tthis.context.webkitBackingStorePixelRatio ||\n",
       "\tthis.context.mozBackingStorePixelRatio ||\n",
       "\tthis.context.msBackingStorePixelRatio ||\n",
       "\tthis.context.oBackingStorePixelRatio ||\n",
       "\tthis.context.backingStorePixelRatio || 1;\n",
       "\n",
       "    mpl.ratio = (window.devicePixelRatio || 1) / backingStore;\n",
       "\n",
       "    var rubberband = $('<canvas/>');\n",
       "    rubberband.attr('style', \"position: absolute; left: 0; top: 0; z-index: 1;\")\n",
       "\n",
       "    var pass_mouse_events = true;\n",
       "\n",
       "    canvas_div.resizable({\n",
       "        start: function(event, ui) {\n",
       "            pass_mouse_events = false;\n",
       "        },\n",
       "        resize: function(event, ui) {\n",
       "            fig.request_resize(ui.size.width, ui.size.height);\n",
       "        },\n",
       "        stop: function(event, ui) {\n",
       "            pass_mouse_events = true;\n",
       "            fig.request_resize(ui.size.width, ui.size.height);\n",
       "        },\n",
       "    });\n",
       "\n",
       "    function mouse_event_fn(event) {\n",
       "        if (pass_mouse_events)\n",
       "            return fig.mouse_event(event, event['data']);\n",
       "    }\n",
       "\n",
       "    rubberband.mousedown('button_press', mouse_event_fn);\n",
       "    rubberband.mouseup('button_release', mouse_event_fn);\n",
       "    // Throttle sequential mouse events to 1 every 20ms.\n",
       "    rubberband.mousemove('motion_notify', mouse_event_fn);\n",
       "\n",
       "    rubberband.mouseenter('figure_enter', mouse_event_fn);\n",
       "    rubberband.mouseleave('figure_leave', mouse_event_fn);\n",
       "\n",
       "    canvas_div.on(\"wheel\", function (event) {\n",
       "        event = event.originalEvent;\n",
       "        event['data'] = 'scroll'\n",
       "        if (event.deltaY < 0) {\n",
       "            event.step = 1;\n",
       "        } else {\n",
       "            event.step = -1;\n",
       "        }\n",
       "        mouse_event_fn(event);\n",
       "    });\n",
       "\n",
       "    canvas_div.append(canvas);\n",
       "    canvas_div.append(rubberband);\n",
       "\n",
       "    this.rubberband = rubberband;\n",
       "    this.rubberband_canvas = rubberband[0];\n",
       "    this.rubberband_context = rubberband[0].getContext(\"2d\");\n",
       "    this.rubberband_context.strokeStyle = \"#000000\";\n",
       "\n",
       "    this._resize_canvas = function(width, height) {\n",
       "        // Keep the size of the canvas, canvas container, and rubber band\n",
       "        // canvas in synch.\n",
       "        canvas_div.css('width', width)\n",
       "        canvas_div.css('height', height)\n",
       "\n",
       "        canvas.attr('width', width * mpl.ratio);\n",
       "        canvas.attr('height', height * mpl.ratio);\n",
       "        canvas.attr('style', 'width: ' + width + 'px; height: ' + height + 'px;');\n",
       "\n",
       "        rubberband.attr('width', width);\n",
       "        rubberband.attr('height', height);\n",
       "    }\n",
       "\n",
       "    // Set the figure to an initial 600x600px, this will subsequently be updated\n",
       "    // upon first draw.\n",
       "    this._resize_canvas(600, 600);\n",
       "\n",
       "    // Disable right mouse context menu.\n",
       "    $(this.rubberband_canvas).bind(\"contextmenu\",function(e){\n",
       "        return false;\n",
       "    });\n",
       "\n",
       "    function set_focus () {\n",
       "        canvas.focus();\n",
       "        canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    window.setTimeout(set_focus, 100);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function() {\n",
       "    var fig = this;\n",
       "\n",
       "    var nav_element = $('<div/>')\n",
       "    nav_element.attr('style', 'width: 100%');\n",
       "    this.root.append(nav_element);\n",
       "\n",
       "    // Define a callback function for later on.\n",
       "    function toolbar_event(event) {\n",
       "        return fig.toolbar_button_onclick(event['data']);\n",
       "    }\n",
       "    function toolbar_mouse_event(event) {\n",
       "        return fig.toolbar_button_onmouseover(event['data']);\n",
       "    }\n",
       "\n",
       "    for(var toolbar_ind in mpl.toolbar_items) {\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) {\n",
       "            // put a spacer in here.\n",
       "            continue;\n",
       "        }\n",
       "        var button = $('<button/>');\n",
       "        button.addClass('ui-button ui-widget ui-state-default ui-corner-all ' +\n",
       "                        'ui-button-icon-only');\n",
       "        button.attr('role', 'button');\n",
       "        button.attr('aria-disabled', 'false');\n",
       "        button.click(method_name, toolbar_event);\n",
       "        button.mouseover(tooltip, toolbar_mouse_event);\n",
       "\n",
       "        var icon_img = $('<span/>');\n",
       "        icon_img.addClass('ui-button-icon-primary ui-icon');\n",
       "        icon_img.addClass(image);\n",
       "        icon_img.addClass('ui-corner-all');\n",
       "\n",
       "        var tooltip_span = $('<span/>');\n",
       "        tooltip_span.addClass('ui-button-text');\n",
       "        tooltip_span.html(tooltip);\n",
       "\n",
       "        button.append(icon_img);\n",
       "        button.append(tooltip_span);\n",
       "\n",
       "        nav_element.append(button);\n",
       "    }\n",
       "\n",
       "    var fmt_picker_span = $('<span/>');\n",
       "\n",
       "    var fmt_picker = $('<select/>');\n",
       "    fmt_picker.addClass('mpl-toolbar-option ui-widget ui-widget-content');\n",
       "    fmt_picker_span.append(fmt_picker);\n",
       "    nav_element.append(fmt_picker_span);\n",
       "    this.format_dropdown = fmt_picker[0];\n",
       "\n",
       "    for (var ind in mpl.extensions) {\n",
       "        var fmt = mpl.extensions[ind];\n",
       "        var option = $(\n",
       "            '<option/>', {selected: fmt === mpl.default_extension}).html(fmt);\n",
       "        fmt_picker.append(option)\n",
       "    }\n",
       "\n",
       "    // Add hover states to the ui-buttons\n",
       "    $( \".ui-button\" ).hover(\n",
       "        function() { $(this).addClass(\"ui-state-hover\");},\n",
       "        function() { $(this).removeClass(\"ui-state-hover\");}\n",
       "    );\n",
       "\n",
       "    var status_bar = $('<span class=\"mpl-message\"/>');\n",
       "    nav_element.append(status_bar);\n",
       "    this.message = status_bar[0];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.request_resize = function(x_pixels, y_pixels) {\n",
       "    // Request matplotlib to resize the figure. Matplotlib will then trigger a resize in the client,\n",
       "    // which will in turn request a refresh of the image.\n",
       "    this.send_message('resize', {'width': x_pixels, 'height': y_pixels});\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.send_message = function(type, properties) {\n",
       "    properties['type'] = type;\n",
       "    properties['figure_id'] = this.id;\n",
       "    this.ws.send(JSON.stringify(properties));\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.send_draw_message = function() {\n",
       "    if (!this.waiting) {\n",
       "        this.waiting = true;\n",
       "        this.ws.send(JSON.stringify({type: \"draw\", figure_id: this.id}));\n",
       "    }\n",
       "}\n",
       "\n",
       "\n",
       "mpl.figure.prototype.handle_save = function(fig, msg) {\n",
       "    var format_dropdown = fig.format_dropdown;\n",
       "    var format = format_dropdown.options[format_dropdown.selectedIndex].value;\n",
       "    fig.ondownload(fig, format);\n",
       "}\n",
       "\n",
       "\n",
       "mpl.figure.prototype.handle_resize = function(fig, msg) {\n",
       "    var size = msg['size'];\n",
       "    if (size[0] != fig.canvas.width || size[1] != fig.canvas.height) {\n",
       "        fig._resize_canvas(size[0], size[1]);\n",
       "        fig.send_message(\"refresh\", {});\n",
       "    };\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_rubberband = function(fig, msg) {\n",
       "    var x0 = msg['x0'] / mpl.ratio;\n",
       "    var y0 = (fig.canvas.height - msg['y0']) / mpl.ratio;\n",
       "    var x1 = msg['x1'] / mpl.ratio;\n",
       "    var y1 = (fig.canvas.height - msg['y1']) / mpl.ratio;\n",
       "    x0 = Math.floor(x0) + 0.5;\n",
       "    y0 = Math.floor(y0) + 0.5;\n",
       "    x1 = Math.floor(x1) + 0.5;\n",
       "    y1 = Math.floor(y1) + 0.5;\n",
       "    var min_x = Math.min(x0, x1);\n",
       "    var min_y = Math.min(y0, y1);\n",
       "    var width = Math.abs(x1 - x0);\n",
       "    var height = Math.abs(y1 - y0);\n",
       "\n",
       "    fig.rubberband_context.clearRect(\n",
       "        0, 0, fig.canvas.width, fig.canvas.height);\n",
       "\n",
       "    fig.rubberband_context.strokeRect(min_x, min_y, width, height);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_figure_label = function(fig, msg) {\n",
       "    // Updates the figure title.\n",
       "    fig.header.textContent = msg['label'];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_cursor = function(fig, msg) {\n",
       "    var cursor = msg['cursor'];\n",
       "    switch(cursor)\n",
       "    {\n",
       "    case 0:\n",
       "        cursor = 'pointer';\n",
       "        break;\n",
       "    case 1:\n",
       "        cursor = 'default';\n",
       "        break;\n",
       "    case 2:\n",
       "        cursor = 'crosshair';\n",
       "        break;\n",
       "    case 3:\n",
       "        cursor = 'move';\n",
       "        break;\n",
       "    }\n",
       "    fig.rubberband_canvas.style.cursor = cursor;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_message = function(fig, msg) {\n",
       "    fig.message.textContent = msg['message'];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_draw = function(fig, msg) {\n",
       "    // Request the server to send over a new figure.\n",
       "    fig.send_draw_message();\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_image_mode = function(fig, msg) {\n",
       "    fig.image_mode = msg['mode'];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function() {\n",
       "    // Called whenever the canvas gets updated.\n",
       "    this.send_message(\"ack\", {});\n",
       "}\n",
       "\n",
       "// A function to construct a web socket function for onmessage handling.\n",
       "// Called in the figure constructor.\n",
       "mpl.figure.prototype._make_on_message_function = function(fig) {\n",
       "    return function socket_on_message(evt) {\n",
       "        if (evt.data instanceof Blob) {\n",
       "            /* FIXME: We get \"Resource interpreted as Image but\n",
       "             * transferred with MIME type text/plain:\" errors on\n",
       "             * Chrome.  But how to set the MIME type?  It doesn't seem\n",
       "             * to be part of the websocket stream */\n",
       "            evt.data.type = \"image/png\";\n",
       "\n",
       "            /* Free the memory for the previous frames */\n",
       "            if (fig.imageObj.src) {\n",
       "                (window.URL || window.webkitURL).revokeObjectURL(\n",
       "                    fig.imageObj.src);\n",
       "            }\n",
       "\n",
       "            fig.imageObj.src = (window.URL || window.webkitURL).createObjectURL(\n",
       "                evt.data);\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        }\n",
       "        else if (typeof evt.data === 'string' && evt.data.slice(0, 21) == \"data:image/png;base64\") {\n",
       "            fig.imageObj.src = evt.data;\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        var msg = JSON.parse(evt.data);\n",
       "        var msg_type = msg['type'];\n",
       "\n",
       "        // Call the  \"handle_{type}\" callback, which takes\n",
       "        // the figure and JSON message as its only arguments.\n",
       "        try {\n",
       "            var callback = fig[\"handle_\" + msg_type];\n",
       "        } catch (e) {\n",
       "            console.log(\"No handler for the '\" + msg_type + \"' message type: \", msg);\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        if (callback) {\n",
       "            try {\n",
       "                // console.log(\"Handling '\" + msg_type + \"' message: \", msg);\n",
       "                callback(fig, msg);\n",
       "            } catch (e) {\n",
       "                console.log(\"Exception inside the 'handler_\" + msg_type + \"' callback:\", e, e.stack, msg);\n",
       "            }\n",
       "        }\n",
       "    };\n",
       "}\n",
       "\n",
       "// from http://stackoverflow.com/questions/1114465/getting-mouse-location-in-canvas\n",
       "mpl.findpos = function(e) {\n",
       "    //this section is from http://www.quirksmode.org/js/events_properties.html\n",
       "    var targ;\n",
       "    if (!e)\n",
       "        e = window.event;\n",
       "    if (e.target)\n",
       "        targ = e.target;\n",
       "    else if (e.srcElement)\n",
       "        targ = e.srcElement;\n",
       "    if (targ.nodeType == 3) // defeat Safari bug\n",
       "        targ = targ.parentNode;\n",
       "\n",
       "    // jQuery normalizes the pageX and pageY\n",
       "    // pageX,Y are the mouse positions relative to the document\n",
       "    // offset() returns the position of the element relative to the document\n",
       "    var x = e.pageX - $(targ).offset().left;\n",
       "    var y = e.pageY - $(targ).offset().top;\n",
       "\n",
       "    return {\"x\": x, \"y\": y};\n",
       "};\n",
       "\n",
       "/*\n",
       " * return a copy of an object with only non-object keys\n",
       " * we need this to avoid circular references\n",
       " * http://stackoverflow.com/a/24161582/3208463\n",
       " */\n",
       "function simpleKeys (original) {\n",
       "  return Object.keys(original).reduce(function (obj, key) {\n",
       "    if (typeof original[key] !== 'object')\n",
       "        obj[key] = original[key]\n",
       "    return obj;\n",
       "  }, {});\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.mouse_event = function(event, name) {\n",
       "    var canvas_pos = mpl.findpos(event)\n",
       "\n",
       "    if (name === 'button_press')\n",
       "    {\n",
       "        this.canvas.focus();\n",
       "        this.canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    var x = canvas_pos.x * mpl.ratio;\n",
       "    var y = canvas_pos.y * mpl.ratio;\n",
       "\n",
       "    this.send_message(name, {x: x, y: y, button: event.button,\n",
       "                             step: event.step,\n",
       "                             guiEvent: simpleKeys(event)});\n",
       "\n",
       "    /* This prevents the web browser from automatically changing to\n",
       "     * the text insertion cursor when the button is pressed.  We want\n",
       "     * to control all of the cursor setting manually through the\n",
       "     * 'cursor' event from matplotlib */\n",
       "    event.preventDefault();\n",
       "    return false;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function(event, name) {\n",
       "    // Handle any extra behaviour associated with a key event\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.key_event = function(event, name) {\n",
       "\n",
       "    // Prevent repeat events\n",
       "    if (name == 'key_press')\n",
       "    {\n",
       "        if (event.which === this._key)\n",
       "            return;\n",
       "        else\n",
       "            this._key = event.which;\n",
       "    }\n",
       "    if (name == 'key_release')\n",
       "        this._key = null;\n",
       "\n",
       "    var value = '';\n",
       "    if (event.ctrlKey && event.which != 17)\n",
       "        value += \"ctrl+\";\n",
       "    if (event.altKey && event.which != 18)\n",
       "        value += \"alt+\";\n",
       "    if (event.shiftKey && event.which != 16)\n",
       "        value += \"shift+\";\n",
       "\n",
       "    value += 'k';\n",
       "    value += event.which.toString();\n",
       "\n",
       "    this._key_event_extra(event, name);\n",
       "\n",
       "    this.send_message(name, {key: value,\n",
       "                             guiEvent: simpleKeys(event)});\n",
       "    return false;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onclick = function(name) {\n",
       "    if (name == 'download') {\n",
       "        this.handle_save(this, null);\n",
       "    } else {\n",
       "        this.send_message(\"toolbar_button\", {name: name});\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onmouseover = function(tooltip) {\n",
       "    this.message.textContent = tooltip;\n",
       "};\n",
       "mpl.toolbar_items = [[\"Home\", \"Reset original view\", \"fa fa-home icon-home\", \"home\"], [\"Back\", \"Back to  previous view\", \"fa fa-arrow-left icon-arrow-left\", \"back\"], [\"Forward\", \"Forward to next view\", \"fa fa-arrow-right icon-arrow-right\", \"forward\"], [\"\", \"\", \"\", \"\"], [\"Pan\", \"Pan axes with left mouse, zoom with right\", \"fa fa-arrows icon-move\", \"pan\"], [\"Zoom\", \"Zoom to rectangle\", \"fa fa-square-o icon-check-empty\", \"zoom\"], [\"\", \"\", \"\", \"\"], [\"Download\", \"Download plot\", \"fa fa-floppy-o icon-save\", \"download\"]];\n",
       "\n",
       "mpl.extensions = [\"eps\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\"];\n",
       "\n",
       "mpl.default_extension = \"png\";var comm_websocket_adapter = function(comm) {\n",
       "    // Create a \"websocket\"-like object which calls the given IPython comm\n",
       "    // object with the appropriate methods. Currently this is a non binary\n",
       "    // socket, so there is still some room for performance tuning.\n",
       "    var ws = {};\n",
       "\n",
       "    ws.close = function() {\n",
       "        comm.close()\n",
       "    };\n",
       "    ws.send = function(m) {\n",
       "        //console.log('sending', m);\n",
       "        comm.send(m);\n",
       "    };\n",
       "    // Register the callback with on_msg.\n",
       "    comm.on_msg(function(msg) {\n",
       "        //console.log('receiving', msg['content']['data'], msg);\n",
       "        // Pass the mpl event to the overriden (by mpl) onmessage function.\n",
       "        ws.onmessage(msg['content']['data'])\n",
       "    });\n",
       "    return ws;\n",
       "}\n",
       "\n",
       "mpl.mpl_figure_comm = function(comm, msg) {\n",
       "    // This is the function which gets called when the mpl process\n",
       "    // starts-up an IPython Comm through the \"matplotlib\" channel.\n",
       "\n",
       "    var id = msg.content.data.id;\n",
       "    // Get hold of the div created by the display call when the Comm\n",
       "    // socket was opened in Python.\n",
       "    var element = $(\"#\" + id);\n",
       "    var ws_proxy = comm_websocket_adapter(comm)\n",
       "\n",
       "    function ondownload(figure, format) {\n",
       "        window.open(figure.imageObj.src);\n",
       "    }\n",
       "\n",
       "    var fig = new mpl.figure(id, ws_proxy,\n",
       "                           ondownload,\n",
       "                           element.get(0));\n",
       "\n",
       "    // Call onopen now - mpl needs it, as it is assuming we've passed it a real\n",
       "    // web socket which is closed, not our websocket->open comm proxy.\n",
       "    ws_proxy.onopen();\n",
       "\n",
       "    fig.parent_element = element.get(0);\n",
       "    fig.cell_info = mpl.find_output_cell(\"<div id='\" + id + \"'></div>\");\n",
       "    if (!fig.cell_info) {\n",
       "        console.error(\"Failed to find cell for figure\", id, fig);\n",
       "        return;\n",
       "    }\n",
       "\n",
       "    var output_index = fig.cell_info[2]\n",
       "    var cell = fig.cell_info[0];\n",
       "\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_close = function(fig, msg) {\n",
       "    var width = fig.canvas.width/mpl.ratio\n",
       "    fig.root.unbind('remove')\n",
       "\n",
       "    // Update the output cell to use the data from the current canvas.\n",
       "    fig.push_to_output();\n",
       "    var dataURL = fig.canvas.toDataURL();\n",
       "    // Re-enable the keyboard manager in IPython - without this line, in FF,\n",
       "    // the notebook keyboard shortcuts fail.\n",
       "    IPython.keyboard_manager.enable()\n",
       "    $(fig.parent_element).html('<img src=\"' + dataURL + '\" width=\"' + width + '\">');\n",
       "    fig.close_ws(fig, msg);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.close_ws = function(fig, msg){\n",
       "    fig.send_message('closing', msg);\n",
       "    // fig.ws.close()\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.push_to_output = function(remove_interactive) {\n",
       "    // Turn the data on the canvas into data in the output cell.\n",
       "    var width = this.canvas.width/mpl.ratio\n",
       "    var dataURL = this.canvas.toDataURL();\n",
       "    this.cell_info[1]['text/html'] = '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function() {\n",
       "    // Tell IPython that the notebook contents must change.\n",
       "    IPython.notebook.set_dirty(true);\n",
       "    this.send_message(\"ack\", {});\n",
       "    var fig = this;\n",
       "    // Wait a second, then push the new image to the DOM so\n",
       "    // that it is saved nicely (might be nice to debounce this).\n",
       "    setTimeout(function () { fig.push_to_output() }, 1000);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function() {\n",
       "    var fig = this;\n",
       "\n",
       "    var nav_element = $('<div/>')\n",
       "    nav_element.attr('style', 'width: 100%');\n",
       "    this.root.append(nav_element);\n",
       "\n",
       "    // Define a callback function for later on.\n",
       "    function toolbar_event(event) {\n",
       "        return fig.toolbar_button_onclick(event['data']);\n",
       "    }\n",
       "    function toolbar_mouse_event(event) {\n",
       "        return fig.toolbar_button_onmouseover(event['data']);\n",
       "    }\n",
       "\n",
       "    for(var toolbar_ind in mpl.toolbar_items){\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) { continue; };\n",
       "\n",
       "        var button = $('<button class=\"btn btn-default\" href=\"#\" title=\"' + name + '\"><i class=\"fa ' + image + ' fa-lg\"></i></button>');\n",
       "        button.click(method_name, toolbar_event);\n",
       "        button.mouseover(tooltip, toolbar_mouse_event);\n",
       "        nav_element.append(button);\n",
       "    }\n",
       "\n",
       "    // Add the status bar.\n",
       "    var status_bar = $('<span class=\"mpl-message\" style=\"text-align:right; float: right;\"/>');\n",
       "    nav_element.append(status_bar);\n",
       "    this.message = status_bar[0];\n",
       "\n",
       "    // Add the close button to the window.\n",
       "    var buttongrp = $('<div class=\"btn-group inline pull-right\"></div>');\n",
       "    var button = $('<button class=\"btn btn-mini btn-primary\" href=\"#\" title=\"Stop Interaction\"><i class=\"fa fa-power-off icon-remove icon-large\"></i></button>');\n",
       "    button.click(function (evt) { fig.handle_close(fig, {}); } );\n",
       "    button.mouseover('Stop Interaction', toolbar_mouse_event);\n",
       "    buttongrp.append(button);\n",
       "    var titlebar = this.root.find($('.ui-dialog-titlebar'));\n",
       "    titlebar.prepend(buttongrp);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function(el){\n",
       "    var fig = this\n",
       "    el.on(\"remove\", function(){\n",
       "\tfig.close_ws(fig, {});\n",
       "    });\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function(el){\n",
       "    // this is important to make the div 'focusable\n",
       "    el.attr('tabindex', 0)\n",
       "    // reach out to IPython and tell the keyboard manager to turn it's self\n",
       "    // off when our div gets focus\n",
       "\n",
       "    // location in version 3\n",
       "    if (IPython.notebook.keyboard_manager) {\n",
       "        IPython.notebook.keyboard_manager.register_events(el);\n",
       "    }\n",
       "    else {\n",
       "        // location in version 2\n",
       "        IPython.keyboard_manager.register_events(el);\n",
       "    }\n",
       "\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function(event, name) {\n",
       "    var manager = IPython.notebook.keyboard_manager;\n",
       "    if (!manager)\n",
       "        manager = IPython.keyboard_manager;\n",
       "\n",
       "    // Check for shift+enter\n",
       "    if (event.shiftKey && event.which == 13) {\n",
       "        this.canvas_div.blur();\n",
       "        // select the cell after this one\n",
       "        var index = IPython.notebook.find_cell_index(this.cell_info[0]);\n",
       "        IPython.notebook.select(index + 1);\n",
       "    }\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_save = function(fig, msg) {\n",
       "    fig.ondownload(fig, null);\n",
       "}\n",
       "\n",
       "\n",
       "mpl.find_output_cell = function(html_output) {\n",
       "    // Return the cell and output element which can be found *uniquely* in the notebook.\n",
       "    // Note - this is a bit hacky, but it is done because the \"notebook_saving.Notebook\"\n",
       "    // IPython event is triggered only after the cells have been serialised, which for\n",
       "    // our purposes (turning an active figure into a static one), is too late.\n",
       "    var cells = IPython.notebook.get_cells();\n",
       "    var ncells = cells.length;\n",
       "    for (var i=0; i<ncells; i++) {\n",
       "        var cell = cells[i];\n",
       "        if (cell.cell_type === 'code'){\n",
       "            for (var j=0; j<cell.output_area.outputs.length; j++) {\n",
       "                var data = cell.output_area.outputs[j];\n",
       "                if (data.data) {\n",
       "                    // IPython >= 3 moved mimebundle to data attribute of output\n",
       "                    data = data.data;\n",
       "                }\n",
       "                if (data['text/html'] == html_output) {\n",
       "                    return [cell, data, j];\n",
       "                }\n",
       "            }\n",
       "        }\n",
       "    }\n",
       "}\n",
       "\n",
       "// Register the function which deals with the matplotlib target/channel.\n",
       "// The kernel may be null if the page has been refreshed.\n",
       "if (IPython.notebook.kernel != null) {\n",
       "    IPython.notebook.kernel.comm_manager.register_target('matplotlib', mpl.mpl_figure_comm);\n",
       "}\n"
      ],
      "text/plain": [
       "<IPython.core.display.Javascript object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
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\" width=\"800\">"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Plot k-values\n",
    "k_val_fig = plt.figure(figsize=(8, 4))\n",
    "ax = k_val_fig.add_subplot(111)\n",
    "ax.hist(ks)\n",
    "ax.set_title('k-values')\n",
    "ax.spines['right'].set_visible(False)\n",
    "ax.spines['top'].set_visible(False)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "collapsed": true
   },
   "source": [
    "All the k-values are below 0.5. So, the model has converged and the PSIS-LOO estimates are reliable."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "collapsed": true
   },
   "source": [
    "# Hierarchical Model\n",
    "\n",
    "In the hierarchical model, the samples are split according to some attribute and samples of each attribute are conditioned on different probability distributions, the parameters of which are conditioned from a common probability distribution. First, we choose language as the attribute to split the data."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "# Set hierarchical feature\n",
    "hier_feature = 'language'\n",
    "\n",
    "# Convert hierarchical feature to numbers and add to training data \n",
    "data[hier_feature] = pd.Categorical(data[hier_feature])\n",
    "train_data[hier_feature] = data[hier_feature].cat.codes.values + 1\n",
    "train_data['K'] = train_data[hier_feature].max()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let us take a look at the distribution of the data when we split it based on language:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "language\n",
       "Aboriginal       2\n",
       "Arabic           1\n",
       "Aramaic          1\n",
       "Bosnian          1\n",
       "Cantonese        7\n",
       "Czech            1\n",
       "Danish           3\n",
       "Dari             2\n",
       "Dutch            3\n",
       "English       3598\n",
       "Filipino         1\n",
       "French          34\n",
       "German          10\n",
       "Hebrew           1\n",
       "Hindi            5\n",
       "Hungarian        1\n",
       "Indonesian       2\n",
       "Italian          7\n",
       "Japanese        10\n",
       "Kazakh           1\n",
       "Korean           5\n",
       "Mandarin        15\n",
       "Maya             1\n",
       "Mongolian        1\n",
       "None             1\n",
       "Norwegian        4\n",
       "Persian          3\n",
       "Portuguese       5\n",
       "Romanian         1\n",
       "Russian          1\n",
       "Spanish         23\n",
       "Thai             3\n",
       "Vietnamese       1\n",
       "Zulu             1\n",
       "dtype: int64"
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data.groupby('language')['gross'].size()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "It can be seen that the distribution of the data is very skewed and non-centered parametrization is used to avoid the funnel effect. Similar to the pooled model, we generate the code for the stan model according to the choosen features."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "data {\n",
      "  int<lower=0> N;\n",
      "  int<lower=0> K;\n",
      "  int<lower=0> P;\n",
      "  vector[N] num_critic_for_reviews;\n",
      "  vector[N] num_user_for_reviews;\n",
      "  vector[N] director_facebook_likes;\n",
      "  vector[N] num_voted_users;\n",
      "  vector[N] cast_total_facebook_likes;\n",
      "  vector[N] imdb_score;\n",
      "  vector[N] actor_3_facebook_likes;\n",
      "  vector[N] actor_2_facebook_likes;\n",
      "  vector[N] actor_1_facebook_likes;\n",
      "  vector[N] gross;\n",
      "  int language[N];\n",
      "}\n",
      "parameters {\n",
      "  real<lower=0> sigma;\n",
      "  matrix[P, K] beta_raw;\n",
      "  real<lower=0> beta_mu[P];\n",
      "  real<lower=0> beta_sigma[P];\n",
      "}\n",
      "transformed parameters {\n",
      "  matrix[P, K] beta;\n",
      "  vector[N] mu;\n",
      "  for (p in 1:P)\n",
      "    beta[p] = beta_mu[p] + beta_raw[p] * beta_sigma[p];\n",
      "  for (n in 1:N)\n",
      "    mu[n] = beta[1, language[n]] + beta[2, language[n]]*num_critic_for_reviews[n] + beta[3, language[n]]*num_user_for_reviews[n] + beta[4, language[n]]*director_facebook_likes[n] + beta[5, language[n]]*num_voted_users[n] + beta[6, language[n]]*cast_total_facebook_likes[n] + beta[7, language[n]]*imdb_score[n] + beta[8, language[n]]*actor_3_facebook_likes[n] + beta[9, language[n]]*actor_2_facebook_likes[n] + beta[10, language[n]]*actor_1_facebook_likes[n];\n",
      "}\n",
      "model {\n",
      "  for (p in 1:P)\n",
      "      beta_raw[p] ~ normal(0, 1);\n",
      "  gross ~ normal(mu, sigma);\n",
      "}\n",
      "generated quantities {\n",
      "  vector[N] log_lik;\n",
      "  for (n in 1:N)\n",
      "    log_lik[n] = normal_lpdf(gross[n]|mu[n], sigma);\n",
      "}\n",
      "\n"
     ]
    }
   ],
   "source": [
    "# Generate code for hierarchical model\n",
    "hier_model_code = \"\"\"\n",
    "data {\n",
    "  int<lower=0> N;\n",
    "  int<lower=0> K;\n",
    "  int<lower=0> P;\\n  \"\"\" +\\\n",
    "  \";\\n  \".join([\"vector[N] {}\".format(f) for f in features+[predict_feature]])\\\n",
    "+\"\"\";\n",
    "  int language[N];\\n}\n",
    "parameters {\n",
    "  real<lower=0> sigma;\n",
    "  matrix[P, K] beta_raw;\n",
    "  real<lower=0> beta_mu[P];\n",
    "  real<lower=0> beta_sigma[P];\n",
    "}\n",
    "transformed parameters {\n",
    "  matrix[P, K] beta;\n",
    "  vector[N] mu;\n",
    "  for (p in 1:P)\n",
    "    beta[p] = beta_mu[p] + beta_raw[p] * beta_sigma[p];\n",
    "  for (n in 1:N)\n",
    "    mu[n] = beta[1, language[n]] + \"\"\" +\\\n",
    "    \" + \".join([\"beta[{}, {}[n]]*{}[n]\".format(i+2, hier_feature, features[i]) for i in range(len(features))])\\\n",
    "+ \"\"\";\n",
    "}\n",
    "model {\n",
    "  for (p in 1:P)\n",
    "      beta_raw[p] ~ normal(0, 1);\n",
    "  gross ~ normal(mu, sigma);\n",
    "}\n",
    "generated quantities {\n",
    "  vector[N] log_lik;\n",
    "  for (n in 1:N)\n",
    "    log_lik[n] = normal_lpdf(gross[n]|mu[n], sigma);\n",
    "}\n",
    "\"\"\"\n",
    "print(hier_model_code)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let us now fit the hierarchical model to the data,"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "INFO:pystan:COMPILING THE C++ CODE FOR MODEL anon_model_a85432f1cf5c32c136f89c227b198ace NOW.\n"
     ]
    }
   ],
   "source": [
    "hier_model_fit = pystan.stan(model_code=hier_model_code, data=train_data, iter=4000, chains=4)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Extracting samples from the learned model and printing the model fit,"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "# Extract samples\n",
    "hier_model_trace = hier_model_fit.extract()\n",
    "# print(hier_model_fit)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "All the Rhat values are 1.0 which means that the sampling has completely converged.\n",
    "\n",
    "Let us now plot the learned bias of each feature in the hierarchical model to see how each attribute of a movie affects it's revenue."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "application/javascript": [
       "/* Put everything inside the global mpl namespace */\n",
       "window.mpl = {};\n",
       "\n",
       "\n",
       "mpl.get_websocket_type = function() {\n",
       "    if (typeof(WebSocket) !== 'undefined') {\n",
       "        return WebSocket;\n",
       "    } else if (typeof(MozWebSocket) !== 'undefined') {\n",
       "        return MozWebSocket;\n",
       "    } else {\n",
       "        alert('Your browser does not have WebSocket support.' +\n",
       "              'Please try Chrome, Safari or Firefox ≥ 6. ' +\n",
       "              'Firefox 4 and 5 are also supported but you ' +\n",
       "              'have to enable WebSockets in about:config.');\n",
       "    };\n",
       "}\n",
       "\n",
       "mpl.figure = function(figure_id, websocket, ondownload, parent_element) {\n",
       "    this.id = figure_id;\n",
       "\n",
       "    this.ws = websocket;\n",
       "\n",
       "    this.supports_binary = (this.ws.binaryType != undefined);\n",
       "\n",
       "    if (!this.supports_binary) {\n",
       "        var warnings = document.getElementById(\"mpl-warnings\");\n",
       "        if (warnings) {\n",
       "            warnings.style.display = 'block';\n",
       "            warnings.textContent = (\n",
       "                \"This browser does not support binary websocket messages. \" +\n",
       "                    \"Performance may be slow.\");\n",
       "        }\n",
       "    }\n",
       "\n",
       "    this.imageObj = new Image();\n",
       "\n",
       "    this.context = undefined;\n",
       "    this.message = undefined;\n",
       "    this.canvas = undefined;\n",
       "    this.rubberband_canvas = undefined;\n",
       "    this.rubberband_context = undefined;\n",
       "    this.format_dropdown = undefined;\n",
       "\n",
       "    this.image_mode = 'full';\n",
       "\n",
       "    this.root = $('<div/>');\n",
       "    this._root_extra_style(this.root)\n",
       "    this.root.attr('style', 'display: inline-block');\n",
       "\n",
       "    $(parent_element).append(this.root);\n",
       "\n",
       "    this._init_header(this);\n",
       "    this._init_canvas(this);\n",
       "    this._init_toolbar(this);\n",
       "\n",
       "    var fig = this;\n",
       "\n",
       "    this.waiting = false;\n",
       "\n",
       "    this.ws.onopen =  function () {\n",
       "            fig.send_message(\"supports_binary\", {value: fig.supports_binary});\n",
       "            fig.send_message(\"send_image_mode\", {});\n",
       "            if (mpl.ratio != 1) {\n",
       "                fig.send_message(\"set_dpi_ratio\", {'dpi_ratio': mpl.ratio});\n",
       "            }\n",
       "            fig.send_message(\"refresh\", {});\n",
       "        }\n",
       "\n",
       "    this.imageObj.onload = function() {\n",
       "            if (fig.image_mode == 'full') {\n",
       "                // Full images could contain transparency (where diff images\n",
       "                // almost always do), so we need to clear the canvas so that\n",
       "                // there is no ghosting.\n",
       "                fig.context.clearRect(0, 0, fig.canvas.width, fig.canvas.height);\n",
       "            }\n",
       "            fig.context.drawImage(fig.imageObj, 0, 0);\n",
       "        };\n",
       "\n",
       "    this.imageObj.onunload = function() {\n",
       "        this.ws.close();\n",
       "    }\n",
       "\n",
       "    this.ws.onmessage = this._make_on_message_function(this);\n",
       "\n",
       "    this.ondownload = ondownload;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_header = function() {\n",
       "    var titlebar = $(\n",
       "        '<div class=\"ui-dialog-titlebar ui-widget-header ui-corner-all ' +\n",
       "        'ui-helper-clearfix\"/>');\n",
       "    var titletext = $(\n",
       "        '<div class=\"ui-dialog-title\" style=\"width: 100%; ' +\n",
       "        'text-align: center; padding: 3px;\"/>');\n",
       "    titlebar.append(titletext)\n",
       "    this.root.append(titlebar);\n",
       "    this.header = titletext[0];\n",
       "}\n",
       "\n",
       "\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function(canvas_div) {\n",
       "\n",
       "}\n",
       "\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function(canvas_div) {\n",
       "\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_canvas = function() {\n",
       "    var fig = this;\n",
       "\n",
       "    var canvas_div = $('<div/>');\n",
       "\n",
       "    canvas_div.attr('style', 'position: relative; clear: both; outline: 0');\n",
       "\n",
       "    function canvas_keyboard_event(event) {\n",
       "        return fig.key_event(event, event['data']);\n",
       "    }\n",
       "\n",
       "    canvas_div.keydown('key_press', canvas_keyboard_event);\n",
       "    canvas_div.keyup('key_release', canvas_keyboard_event);\n",
       "    this.canvas_div = canvas_div\n",
       "    this._canvas_extra_style(canvas_div)\n",
       "    this.root.append(canvas_div);\n",
       "\n",
       "    var canvas = $('<canvas/>');\n",
       "    canvas.addClass('mpl-canvas');\n",
       "    canvas.attr('style', \"left: 0; top: 0; z-index: 0; outline: 0\")\n",
       "\n",
       "    this.canvas = canvas[0];\n",
       "    this.context = canvas[0].getContext(\"2d\");\n",
       "\n",
       "    var backingStore = this.context.backingStorePixelRatio ||\n",
       "\tthis.context.webkitBackingStorePixelRatio ||\n",
       "\tthis.context.mozBackingStorePixelRatio ||\n",
       "\tthis.context.msBackingStorePixelRatio ||\n",
       "\tthis.context.oBackingStorePixelRatio ||\n",
       "\tthis.context.backingStorePixelRatio || 1;\n",
       "\n",
       "    mpl.ratio = (window.devicePixelRatio || 1) / backingStore;\n",
       "\n",
       "    var rubberband = $('<canvas/>');\n",
       "    rubberband.attr('style', \"position: absolute; left: 0; top: 0; z-index: 1;\")\n",
       "\n",
       "    var pass_mouse_events = true;\n",
       "\n",
       "    canvas_div.resizable({\n",
       "        start: function(event, ui) {\n",
       "            pass_mouse_events = false;\n",
       "        },\n",
       "        resize: function(event, ui) {\n",
       "            fig.request_resize(ui.size.width, ui.size.height);\n",
       "        },\n",
       "        stop: function(event, ui) {\n",
       "            pass_mouse_events = true;\n",
       "            fig.request_resize(ui.size.width, ui.size.height);\n",
       "        },\n",
       "    });\n",
       "\n",
       "    function mouse_event_fn(event) {\n",
       "        if (pass_mouse_events)\n",
       "            return fig.mouse_event(event, event['data']);\n",
       "    }\n",
       "\n",
       "    rubberband.mousedown('button_press', mouse_event_fn);\n",
       "    rubberband.mouseup('button_release', mouse_event_fn);\n",
       "    // Throttle sequential mouse events to 1 every 20ms.\n",
       "    rubberband.mousemove('motion_notify', mouse_event_fn);\n",
       "\n",
       "    rubberband.mouseenter('figure_enter', mouse_event_fn);\n",
       "    rubberband.mouseleave('figure_leave', mouse_event_fn);\n",
       "\n",
       "    canvas_div.on(\"wheel\", function (event) {\n",
       "        event = event.originalEvent;\n",
       "        event['data'] = 'scroll'\n",
       "        if (event.deltaY < 0) {\n",
       "            event.step = 1;\n",
       "        } else {\n",
       "            event.step = -1;\n",
       "        }\n",
       "        mouse_event_fn(event);\n",
       "    });\n",
       "\n",
       "    canvas_div.append(canvas);\n",
       "    canvas_div.append(rubberband);\n",
       "\n",
       "    this.rubberband = rubberband;\n",
       "    this.rubberband_canvas = rubberband[0];\n",
       "    this.rubberband_context = rubberband[0].getContext(\"2d\");\n",
       "    this.rubberband_context.strokeStyle = \"#000000\";\n",
       "\n",
       "    this._resize_canvas = function(width, height) {\n",
       "        // Keep the size of the canvas, canvas container, and rubber band\n",
       "        // canvas in synch.\n",
       "        canvas_div.css('width', width)\n",
       "        canvas_div.css('height', height)\n",
       "\n",
       "        canvas.attr('width', width * mpl.ratio);\n",
       "        canvas.attr('height', height * mpl.ratio);\n",
       "        canvas.attr('style', 'width: ' + width + 'px; height: ' + height + 'px;');\n",
       "\n",
       "        rubberband.attr('width', width);\n",
       "        rubberband.attr('height', height);\n",
       "    }\n",
       "\n",
       "    // Set the figure to an initial 600x600px, this will subsequently be updated\n",
       "    // upon first draw.\n",
       "    this._resize_canvas(600, 600);\n",
       "\n",
       "    // Disable right mouse context menu.\n",
       "    $(this.rubberband_canvas).bind(\"contextmenu\",function(e){\n",
       "        return false;\n",
       "    });\n",
       "\n",
       "    function set_focus () {\n",
       "        canvas.focus();\n",
       "        canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    window.setTimeout(set_focus, 100);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function() {\n",
       "    var fig = this;\n",
       "\n",
       "    var nav_element = $('<div/>')\n",
       "    nav_element.attr('style', 'width: 100%');\n",
       "    this.root.append(nav_element);\n",
       "\n",
       "    // Define a callback function for later on.\n",
       "    function toolbar_event(event) {\n",
       "        return fig.toolbar_button_onclick(event['data']);\n",
       "    }\n",
       "    function toolbar_mouse_event(event) {\n",
       "        return fig.toolbar_button_onmouseover(event['data']);\n",
       "    }\n",
       "\n",
       "    for(var toolbar_ind in mpl.toolbar_items) {\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) {\n",
       "            // put a spacer in here.\n",
       "            continue;\n",
       "        }\n",
       "        var button = $('<button/>');\n",
       "        button.addClass('ui-button ui-widget ui-state-default ui-corner-all ' +\n",
       "                        'ui-button-icon-only');\n",
       "        button.attr('role', 'button');\n",
       "        button.attr('aria-disabled', 'false');\n",
       "        button.click(method_name, toolbar_event);\n",
       "        button.mouseover(tooltip, toolbar_mouse_event);\n",
       "\n",
       "        var icon_img = $('<span/>');\n",
       "        icon_img.addClass('ui-button-icon-primary ui-icon');\n",
       "        icon_img.addClass(image);\n",
       "        icon_img.addClass('ui-corner-all');\n",
       "\n",
       "        var tooltip_span = $('<span/>');\n",
       "        tooltip_span.addClass('ui-button-text');\n",
       "        tooltip_span.html(tooltip);\n",
       "\n",
       "        button.append(icon_img);\n",
       "        button.append(tooltip_span);\n",
       "\n",
       "        nav_element.append(button);\n",
       "    }\n",
       "\n",
       "    var fmt_picker_span = $('<span/>');\n",
       "\n",
       "    var fmt_picker = $('<select/>');\n",
       "    fmt_picker.addClass('mpl-toolbar-option ui-widget ui-widget-content');\n",
       "    fmt_picker_span.append(fmt_picker);\n",
       "    nav_element.append(fmt_picker_span);\n",
       "    this.format_dropdown = fmt_picker[0];\n",
       "\n",
       "    for (var ind in mpl.extensions) {\n",
       "        var fmt = mpl.extensions[ind];\n",
       "        var option = $(\n",
       "            '<option/>', {selected: fmt === mpl.default_extension}).html(fmt);\n",
       "        fmt_picker.append(option)\n",
       "    }\n",
       "\n",
       "    // Add hover states to the ui-buttons\n",
       "    $( \".ui-button\" ).hover(\n",
       "        function() { $(this).addClass(\"ui-state-hover\");},\n",
       "        function() { $(this).removeClass(\"ui-state-hover\");}\n",
       "    );\n",
       "\n",
       "    var status_bar = $('<span class=\"mpl-message\"/>');\n",
       "    nav_element.append(status_bar);\n",
       "    this.message = status_bar[0];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.request_resize = function(x_pixels, y_pixels) {\n",
       "    // Request matplotlib to resize the figure. Matplotlib will then trigger a resize in the client,\n",
       "    // which will in turn request a refresh of the image.\n",
       "    this.send_message('resize', {'width': x_pixels, 'height': y_pixels});\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.send_message = function(type, properties) {\n",
       "    properties['type'] = type;\n",
       "    properties['figure_id'] = this.id;\n",
       "    this.ws.send(JSON.stringify(properties));\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.send_draw_message = function() {\n",
       "    if (!this.waiting) {\n",
       "        this.waiting = true;\n",
       "        this.ws.send(JSON.stringify({type: \"draw\", figure_id: this.id}));\n",
       "    }\n",
       "}\n",
       "\n",
       "\n",
       "mpl.figure.prototype.handle_save = function(fig, msg) {\n",
       "    var format_dropdown = fig.format_dropdown;\n",
       "    var format = format_dropdown.options[format_dropdown.selectedIndex].value;\n",
       "    fig.ondownload(fig, format);\n",
       "}\n",
       "\n",
       "\n",
       "mpl.figure.prototype.handle_resize = function(fig, msg) {\n",
       "    var size = msg['size'];\n",
       "    if (size[0] != fig.canvas.width || size[1] != fig.canvas.height) {\n",
       "        fig._resize_canvas(size[0], size[1]);\n",
       "        fig.send_message(\"refresh\", {});\n",
       "    };\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_rubberband = function(fig, msg) {\n",
       "    var x0 = msg['x0'] / mpl.ratio;\n",
       "    var y0 = (fig.canvas.height - msg['y0']) / mpl.ratio;\n",
       "    var x1 = msg['x1'] / mpl.ratio;\n",
       "    var y1 = (fig.canvas.height - msg['y1']) / mpl.ratio;\n",
       "    x0 = Math.floor(x0) + 0.5;\n",
       "    y0 = Math.floor(y0) + 0.5;\n",
       "    x1 = Math.floor(x1) + 0.5;\n",
       "    y1 = Math.floor(y1) + 0.5;\n",
       "    var min_x = Math.min(x0, x1);\n",
       "    var min_y = Math.min(y0, y1);\n",
       "    var width = Math.abs(x1 - x0);\n",
       "    var height = Math.abs(y1 - y0);\n",
       "\n",
       "    fig.rubberband_context.clearRect(\n",
       "        0, 0, fig.canvas.width, fig.canvas.height);\n",
       "\n",
       "    fig.rubberband_context.strokeRect(min_x, min_y, width, height);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_figure_label = function(fig, msg) {\n",
       "    // Updates the figure title.\n",
       "    fig.header.textContent = msg['label'];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_cursor = function(fig, msg) {\n",
       "    var cursor = msg['cursor'];\n",
       "    switch(cursor)\n",
       "    {\n",
       "    case 0:\n",
       "        cursor = 'pointer';\n",
       "        break;\n",
       "    case 1:\n",
       "        cursor = 'default';\n",
       "        break;\n",
       "    case 2:\n",
       "        cursor = 'crosshair';\n",
       "        break;\n",
       "    case 3:\n",
       "        cursor = 'move';\n",
       "        break;\n",
       "    }\n",
       "    fig.rubberband_canvas.style.cursor = cursor;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_message = function(fig, msg) {\n",
       "    fig.message.textContent = msg['message'];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_draw = function(fig, msg) {\n",
       "    // Request the server to send over a new figure.\n",
       "    fig.send_draw_message();\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_image_mode = function(fig, msg) {\n",
       "    fig.image_mode = msg['mode'];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function() {\n",
       "    // Called whenever the canvas gets updated.\n",
       "    this.send_message(\"ack\", {});\n",
       "}\n",
       "\n",
       "// A function to construct a web socket function for onmessage handling.\n",
       "// Called in the figure constructor.\n",
       "mpl.figure.prototype._make_on_message_function = function(fig) {\n",
       "    return function socket_on_message(evt) {\n",
       "        if (evt.data instanceof Blob) {\n",
       "            /* FIXME: We get \"Resource interpreted as Image but\n",
       "             * transferred with MIME type text/plain:\" errors on\n",
       "             * Chrome.  But how to set the MIME type?  It doesn't seem\n",
       "             * to be part of the websocket stream */\n",
       "            evt.data.type = \"image/png\";\n",
       "\n",
       "            /* Free the memory for the previous frames */\n",
       "            if (fig.imageObj.src) {\n",
       "                (window.URL || window.webkitURL).revokeObjectURL(\n",
       "                    fig.imageObj.src);\n",
       "            }\n",
       "\n",
       "            fig.imageObj.src = (window.URL || window.webkitURL).createObjectURL(\n",
       "                evt.data);\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        }\n",
       "        else if (typeof evt.data === 'string' && evt.data.slice(0, 21) == \"data:image/png;base64\") {\n",
       "            fig.imageObj.src = evt.data;\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        var msg = JSON.parse(evt.data);\n",
       "        var msg_type = msg['type'];\n",
       "\n",
       "        // Call the  \"handle_{type}\" callback, which takes\n",
       "        // the figure and JSON message as its only arguments.\n",
       "        try {\n",
       "            var callback = fig[\"handle_\" + msg_type];\n",
       "        } catch (e) {\n",
       "            console.log(\"No handler for the '\" + msg_type + \"' message type: \", msg);\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        if (callback) {\n",
       "            try {\n",
       "                // console.log(\"Handling '\" + msg_type + \"' message: \", msg);\n",
       "                callback(fig, msg);\n",
       "            } catch (e) {\n",
       "                console.log(\"Exception inside the 'handler_\" + msg_type + \"' callback:\", e, e.stack, msg);\n",
       "            }\n",
       "        }\n",
       "    };\n",
       "}\n",
       "\n",
       "// from http://stackoverflow.com/questions/1114465/getting-mouse-location-in-canvas\n",
       "mpl.findpos = function(e) {\n",
       "    //this section is from http://www.quirksmode.org/js/events_properties.html\n",
       "    var targ;\n",
       "    if (!e)\n",
       "        e = window.event;\n",
       "    if (e.target)\n",
       "        targ = e.target;\n",
       "    else if (e.srcElement)\n",
       "        targ = e.srcElement;\n",
       "    if (targ.nodeType == 3) // defeat Safari bug\n",
       "        targ = targ.parentNode;\n",
       "\n",
       "    // jQuery normalizes the pageX and pageY\n",
       "    // pageX,Y are the mouse positions relative to the document\n",
       "    // offset() returns the position of the element relative to the document\n",
       "    var x = e.pageX - $(targ).offset().left;\n",
       "    var y = e.pageY - $(targ).offset().top;\n",
       "\n",
       "    return {\"x\": x, \"y\": y};\n",
       "};\n",
       "\n",
       "/*\n",
       " * return a copy of an object with only non-object keys\n",
       " * we need this to avoid circular references\n",
       " * http://stackoverflow.com/a/24161582/3208463\n",
       " */\n",
       "function simpleKeys (original) {\n",
       "  return Object.keys(original).reduce(function (obj, key) {\n",
       "    if (typeof original[key] !== 'object')\n",
       "        obj[key] = original[key]\n",
       "    return obj;\n",
       "  }, {});\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.mouse_event = function(event, name) {\n",
       "    var canvas_pos = mpl.findpos(event)\n",
       "\n",
       "    if (name === 'button_press')\n",
       "    {\n",
       "        this.canvas.focus();\n",
       "        this.canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    var x = canvas_pos.x * mpl.ratio;\n",
       "    var y = canvas_pos.y * mpl.ratio;\n",
       "\n",
       "    this.send_message(name, {x: x, y: y, button: event.button,\n",
       "                             step: event.step,\n",
       "                             guiEvent: simpleKeys(event)});\n",
       "\n",
       "    /* This prevents the web browser from automatically changing to\n",
       "     * the text insertion cursor when the button is pressed.  We want\n",
       "     * to control all of the cursor setting manually through the\n",
       "     * 'cursor' event from matplotlib */\n",
       "    event.preventDefault();\n",
       "    return false;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function(event, name) {\n",
       "    // Handle any extra behaviour associated with a key event\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.key_event = function(event, name) {\n",
       "\n",
       "    // Prevent repeat events\n",
       "    if (name == 'key_press')\n",
       "    {\n",
       "        if (event.which === this._key)\n",
       "            return;\n",
       "        else\n",
       "            this._key = event.which;\n",
       "    }\n",
       "    if (name == 'key_release')\n",
       "        this._key = null;\n",
       "\n",
       "    var value = '';\n",
       "    if (event.ctrlKey && event.which != 17)\n",
       "        value += \"ctrl+\";\n",
       "    if (event.altKey && event.which != 18)\n",
       "        value += \"alt+\";\n",
       "    if (event.shiftKey && event.which != 16)\n",
       "        value += \"shift+\";\n",
       "\n",
       "    value += 'k';\n",
       "    value += event.which.toString();\n",
       "\n",
       "    this._key_event_extra(event, name);\n",
       "\n",
       "    this.send_message(name, {key: value,\n",
       "                             guiEvent: simpleKeys(event)});\n",
       "    return false;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onclick = function(name) {\n",
       "    if (name == 'download') {\n",
       "        this.handle_save(this, null);\n",
       "    } else {\n",
       "        this.send_message(\"toolbar_button\", {name: name});\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onmouseover = function(tooltip) {\n",
       "    this.message.textContent = tooltip;\n",
       "};\n",
       "mpl.toolbar_items = [[\"Home\", \"Reset original view\", \"fa fa-home icon-home\", \"home\"], [\"Back\", \"Back to  previous view\", \"fa fa-arrow-left icon-arrow-left\", \"back\"], [\"Forward\", \"Forward to next view\", \"fa fa-arrow-right icon-arrow-right\", \"forward\"], [\"\", \"\", \"\", \"\"], [\"Pan\", \"Pan axes with left mouse, zoom with right\", \"fa fa-arrows icon-move\", \"pan\"], [\"Zoom\", \"Zoom to rectangle\", \"fa fa-square-o icon-check-empty\", \"zoom\"], [\"\", \"\", \"\", \"\"], [\"Download\", \"Download plot\", \"fa fa-floppy-o icon-save\", \"download\"]];\n",
       "\n",
       "mpl.extensions = [\"eps\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\"];\n",
       "\n",
       "mpl.default_extension = \"png\";var comm_websocket_adapter = function(comm) {\n",
       "    // Create a \"websocket\"-like object which calls the given IPython comm\n",
       "    // object with the appropriate methods. Currently this is a non binary\n",
       "    // socket, so there is still some room for performance tuning.\n",
       "    var ws = {};\n",
       "\n",
       "    ws.close = function() {\n",
       "        comm.close()\n",
       "    };\n",
       "    ws.send = function(m) {\n",
       "        //console.log('sending', m);\n",
       "        comm.send(m);\n",
       "    };\n",
       "    // Register the callback with on_msg.\n",
       "    comm.on_msg(function(msg) {\n",
       "        //console.log('receiving', msg['content']['data'], msg);\n",
       "        // Pass the mpl event to the overriden (by mpl) onmessage function.\n",
       "        ws.onmessage(msg['content']['data'])\n",
       "    });\n",
       "    return ws;\n",
       "}\n",
       "\n",
       "mpl.mpl_figure_comm = function(comm, msg) {\n",
       "    // This is the function which gets called when the mpl process\n",
       "    // starts-up an IPython Comm through the \"matplotlib\" channel.\n",
       "\n",
       "    var id = msg.content.data.id;\n",
       "    // Get hold of the div created by the display call when the Comm\n",
       "    // socket was opened in Python.\n",
       "    var element = $(\"#\" + id);\n",
       "    var ws_proxy = comm_websocket_adapter(comm)\n",
       "\n",
       "    function ondownload(figure, format) {\n",
       "        window.open(figure.imageObj.src);\n",
       "    }\n",
       "\n",
       "    var fig = new mpl.figure(id, ws_proxy,\n",
       "                           ondownload,\n",
       "                           element.get(0));\n",
       "\n",
       "    // Call onopen now - mpl needs it, as it is assuming we've passed it a real\n",
       "    // web socket which is closed, not our websocket->open comm proxy.\n",
       "    ws_proxy.onopen();\n",
       "\n",
       "    fig.parent_element = element.get(0);\n",
       "    fig.cell_info = mpl.find_output_cell(\"<div id='\" + id + \"'></div>\");\n",
       "    if (!fig.cell_info) {\n",
       "        console.error(\"Failed to find cell for figure\", id, fig);\n",
       "        return;\n",
       "    }\n",
       "\n",
       "    var output_index = fig.cell_info[2]\n",
       "    var cell = fig.cell_info[0];\n",
       "\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_close = function(fig, msg) {\n",
       "    var width = fig.canvas.width/mpl.ratio\n",
       "    fig.root.unbind('remove')\n",
       "\n",
       "    // Update the output cell to use the data from the current canvas.\n",
       "    fig.push_to_output();\n",
       "    var dataURL = fig.canvas.toDataURL();\n",
       "    // Re-enable the keyboard manager in IPython - without this line, in FF,\n",
       "    // the notebook keyboard shortcuts fail.\n",
       "    IPython.keyboard_manager.enable()\n",
       "    $(fig.parent_element).html('<img src=\"' + dataURL + '\" width=\"' + width + '\">');\n",
       "    fig.close_ws(fig, msg);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.close_ws = function(fig, msg){\n",
       "    fig.send_message('closing', msg);\n",
       "    // fig.ws.close()\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.push_to_output = function(remove_interactive) {\n",
       "    // Turn the data on the canvas into data in the output cell.\n",
       "    var width = this.canvas.width/mpl.ratio\n",
       "    var dataURL = this.canvas.toDataURL();\n",
       "    this.cell_info[1]['text/html'] = '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function() {\n",
       "    // Tell IPython that the notebook contents must change.\n",
       "    IPython.notebook.set_dirty(true);\n",
       "    this.send_message(\"ack\", {});\n",
       "    var fig = this;\n",
       "    // Wait a second, then push the new image to the DOM so\n",
       "    // that it is saved nicely (might be nice to debounce this).\n",
       "    setTimeout(function () { fig.push_to_output() }, 1000);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function() {\n",
       "    var fig = this;\n",
       "\n",
       "    var nav_element = $('<div/>')\n",
       "    nav_element.attr('style', 'width: 100%');\n",
       "    this.root.append(nav_element);\n",
       "\n",
       "    // Define a callback function for later on.\n",
       "    function toolbar_event(event) {\n",
       "        return fig.toolbar_button_onclick(event['data']);\n",
       "    }\n",
       "    function toolbar_mouse_event(event) {\n",
       "        return fig.toolbar_button_onmouseover(event['data']);\n",
       "    }\n",
       "\n",
       "    for(var toolbar_ind in mpl.toolbar_items){\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) { continue; };\n",
       "\n",
       "        var button = $('<button class=\"btn btn-default\" href=\"#\" title=\"' + name + '\"><i class=\"fa ' + image + ' fa-lg\"></i></button>');\n",
       "        button.click(method_name, toolbar_event);\n",
       "        button.mouseover(tooltip, toolbar_mouse_event);\n",
       "        nav_element.append(button);\n",
       "    }\n",
       "\n",
       "    // Add the status bar.\n",
       "    var status_bar = $('<span class=\"mpl-message\" style=\"text-align:right; float: right;\"/>');\n",
       "    nav_element.append(status_bar);\n",
       "    this.message = status_bar[0];\n",
       "\n",
       "    // Add the close button to the window.\n",
       "    var buttongrp = $('<div class=\"btn-group inline pull-right\"></div>');\n",
       "    var button = $('<button class=\"btn btn-mini btn-primary\" href=\"#\" title=\"Stop Interaction\"><i class=\"fa fa-power-off icon-remove icon-large\"></i></button>');\n",
       "    button.click(function (evt) { fig.handle_close(fig, {}); } );\n",
       "    button.mouseover('Stop Interaction', toolbar_mouse_event);\n",
       "    buttongrp.append(button);\n",
       "    var titlebar = this.root.find($('.ui-dialog-titlebar'));\n",
       "    titlebar.prepend(buttongrp);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function(el){\n",
       "    var fig = this\n",
       "    el.on(\"remove\", function(){\n",
       "\tfig.close_ws(fig, {});\n",
       "    });\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function(el){\n",
       "    // this is important to make the div 'focusable\n",
       "    el.attr('tabindex', 0)\n",
       "    // reach out to IPython and tell the keyboard manager to turn it's self\n",
       "    // off when our div gets focus\n",
       "\n",
       "    // location in version 3\n",
       "    if (IPython.notebook.keyboard_manager) {\n",
       "        IPython.notebook.keyboard_manager.register_events(el);\n",
       "    }\n",
       "    else {\n",
       "        // location in version 2\n",
       "        IPython.keyboard_manager.register_events(el);\n",
       "    }\n",
       "\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function(event, name) {\n",
       "    var manager = IPython.notebook.keyboard_manager;\n",
       "    if (!manager)\n",
       "        manager = IPython.keyboard_manager;\n",
       "\n",
       "    // Check for shift+enter\n",
       "    if (event.shiftKey && event.which == 13) {\n",
       "        this.canvas_div.blur();\n",
       "        // select the cell after this one\n",
       "        var index = IPython.notebook.find_cell_index(this.cell_info[0]);\n",
       "        IPython.notebook.select(index + 1);\n",
       "    }\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_save = function(fig, msg) {\n",
       "    fig.ondownload(fig, null);\n",
       "}\n",
       "\n",
       "\n",
       "mpl.find_output_cell = function(html_output) {\n",
       "    // Return the cell and output element which can be found *uniquely* in the notebook.\n",
       "    // Note - this is a bit hacky, but it is done because the \"notebook_saving.Notebook\"\n",
       "    // IPython event is triggered only after the cells have been serialised, which for\n",
       "    // our purposes (turning an active figure into a static one), is too late.\n",
       "    var cells = IPython.notebook.get_cells();\n",
       "    var ncells = cells.length;\n",
       "    for (var i=0; i<ncells; i++) {\n",
       "        var cell = cells[i];\n",
       "        if (cell.cell_type === 'code'){\n",
       "            for (var j=0; j<cell.output_area.outputs.length; j++) {\n",
       "                var data = cell.output_area.outputs[j];\n",
       "                if (data.data) {\n",
       "                    // IPython >= 3 moved mimebundle to data attribute of output\n",
       "                    data = data.data;\n",
       "                }\n",
       "                if (data['text/html'] == html_output) {\n",
       "                    return [cell, data, j];\n",
       "                }\n",
       "            }\n",
       "        }\n",
       "    }\n",
       "}\n",
       "\n",
       "// Register the function which deals with the matplotlib target/channel.\n",
       "// The kernel may be null if the page has been refreshed.\n",
       "if (IPython.notebook.kernel != null) {\n",
       "    IPython.notebook.kernel.comm_manager.register_target('matplotlib', mpl.mpl_figure_comm);\n",
       "}\n"
      ],
      "text/plain": [
       "<IPython.core.display.Javascript object>"
      ]
     },
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     "output_type": "display_data"
    },
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\" width=\"3000\">"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Plot bias of features\n",
    "order = hier_model_trace['beta'][:, 0, :].mean(axis=0).argsort()[::-1]\n",
    "betas_fig = plt.figure(figsize=(30, 5))\n",
    "ax = betas_fig.add_subplot(111)\n",
    "ax.boxplot(hier_model_trace['beta'][:, 0, order], 0, '')\n",
    "plt.xticks(range(1, len(data[hier_feature].cat.categories)+1), data[hier_feature].cat.categories[order])\n",
    "ax.set_xlabel('Features')\n",
    "ax.set_ylabel('Bias')\n",
    "#ax.set_yscale('log')\n",
    "ax.spines['right'].set_visible(False)\n",
    "ax.spines['top'].set_visible(False)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "To compare with the pooled model, we perform PSIS-LOO cross validation on the hierarchical model."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/home/rinu/Documents/aalto/BDA/psis.py:265: RuntimeWarning: overflow encountered in exp\n",
      "  np.exp(temp, out=temp)\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Sum of LOO-LPD: -72040.81687873724\n"
     ]
    }
   ],
   "source": [
    "# Pareto Smoothed Importance Sampling Leave One Out (PSIS-LOO) Cross Validation\n",
    "loo, loos, ks = psisloo(hier_model_trace['log_lik'])\n",
    "print(\"Sum of LOO-LPD: {}\".format(loo))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "application/javascript": [
       "/* Put everything inside the global mpl namespace */\n",
       "window.mpl = {};\n",
       "\n",
       "\n",
       "mpl.get_websocket_type = function() {\n",
       "    if (typeof(WebSocket) !== 'undefined') {\n",
       "        return WebSocket;\n",
       "    } else if (typeof(MozWebSocket) !== 'undefined') {\n",
       "        return MozWebSocket;\n",
       "    } else {\n",
       "        alert('Your browser does not have WebSocket support.' +\n",
       "              'Please try Chrome, Safari or Firefox ≥ 6. ' +\n",
       "              'Firefox 4 and 5 are also supported but you ' +\n",
       "              'have to enable WebSockets in about:config.');\n",
       "    };\n",
       "}\n",
       "\n",
       "mpl.figure = function(figure_id, websocket, ondownload, parent_element) {\n",
       "    this.id = figure_id;\n",
       "\n",
       "    this.ws = websocket;\n",
       "\n",
       "    this.supports_binary = (this.ws.binaryType != undefined);\n",
       "\n",
       "    if (!this.supports_binary) {\n",
       "        var warnings = document.getElementById(\"mpl-warnings\");\n",
       "        if (warnings) {\n",
       "            warnings.style.display = 'block';\n",
       "            warnings.textContent = (\n",
       "                \"This browser does not support binary websocket messages. \" +\n",
       "                    \"Performance may be slow.\");\n",
       "        }\n",
       "    }\n",
       "\n",
       "    this.imageObj = new Image();\n",
       "\n",
       "    this.context = undefined;\n",
       "    this.message = undefined;\n",
       "    this.canvas = undefined;\n",
       "    this.rubberband_canvas = undefined;\n",
       "    this.rubberband_context = undefined;\n",
       "    this.format_dropdown = undefined;\n",
       "\n",
       "    this.image_mode = 'full';\n",
       "\n",
       "    this.root = $('<div/>');\n",
       "    this._root_extra_style(this.root)\n",
       "    this.root.attr('style', 'display: inline-block');\n",
       "\n",
       "    $(parent_element).append(this.root);\n",
       "\n",
       "    this._init_header(this);\n",
       "    this._init_canvas(this);\n",
       "    this._init_toolbar(this);\n",
       "\n",
       "    var fig = this;\n",
       "\n",
       "    this.waiting = false;\n",
       "\n",
       "    this.ws.onopen =  function () {\n",
       "            fig.send_message(\"supports_binary\", {value: fig.supports_binary});\n",
       "            fig.send_message(\"send_image_mode\", {});\n",
       "            if (mpl.ratio != 1) {\n",
       "                fig.send_message(\"set_dpi_ratio\", {'dpi_ratio': mpl.ratio});\n",
       "            }\n",
       "            fig.send_message(\"refresh\", {});\n",
       "        }\n",
       "\n",
       "    this.imageObj.onload = function() {\n",
       "            if (fig.image_mode == 'full') {\n",
       "                // Full images could contain transparency (where diff images\n",
       "                // almost always do), so we need to clear the canvas so that\n",
       "                // there is no ghosting.\n",
       "                fig.context.clearRect(0, 0, fig.canvas.width, fig.canvas.height);\n",
       "            }\n",
       "            fig.context.drawImage(fig.imageObj, 0, 0);\n",
       "        };\n",
       "\n",
       "    this.imageObj.onunload = function() {\n",
       "        this.ws.close();\n",
       "    }\n",
       "\n",
       "    this.ws.onmessage = this._make_on_message_function(this);\n",
       "\n",
       "    this.ondownload = ondownload;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_header = function() {\n",
       "    var titlebar = $(\n",
       "        '<div class=\"ui-dialog-titlebar ui-widget-header ui-corner-all ' +\n",
       "        'ui-helper-clearfix\"/>');\n",
       "    var titletext = $(\n",
       "        '<div class=\"ui-dialog-title\" style=\"width: 100%; ' +\n",
       "        'text-align: center; padding: 3px;\"/>');\n",
       "    titlebar.append(titletext)\n",
       "    this.root.append(titlebar);\n",
       "    this.header = titletext[0];\n",
       "}\n",
       "\n",
       "\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function(canvas_div) {\n",
       "\n",
       "}\n",
       "\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function(canvas_div) {\n",
       "\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_canvas = function() {\n",
       "    var fig = this;\n",
       "\n",
       "    var canvas_div = $('<div/>');\n",
       "\n",
       "    canvas_div.attr('style', 'position: relative; clear: both; outline: 0');\n",
       "\n",
       "    function canvas_keyboard_event(event) {\n",
       "        return fig.key_event(event, event['data']);\n",
       "    }\n",
       "\n",
       "    canvas_div.keydown('key_press', canvas_keyboard_event);\n",
       "    canvas_div.keyup('key_release', canvas_keyboard_event);\n",
       "    this.canvas_div = canvas_div\n",
       "    this._canvas_extra_style(canvas_div)\n",
       "    this.root.append(canvas_div);\n",
       "\n",
       "    var canvas = $('<canvas/>');\n",
       "    canvas.addClass('mpl-canvas');\n",
       "    canvas.attr('style', \"left: 0; top: 0; z-index: 0; outline: 0\")\n",
       "\n",
       "    this.canvas = canvas[0];\n",
       "    this.context = canvas[0].getContext(\"2d\");\n",
       "\n",
       "    var backingStore = this.context.backingStorePixelRatio ||\n",
       "\tthis.context.webkitBackingStorePixelRatio ||\n",
       "\tthis.context.mozBackingStorePixelRatio ||\n",
       "\tthis.context.msBackingStorePixelRatio ||\n",
       "\tthis.context.oBackingStorePixelRatio ||\n",
       "\tthis.context.backingStorePixelRatio || 1;\n",
       "\n",
       "    mpl.ratio = (window.devicePixelRatio || 1) / backingStore;\n",
       "\n",
       "    var rubberband = $('<canvas/>');\n",
       "    rubberband.attr('style', \"position: absolute; left: 0; top: 0; z-index: 1;\")\n",
       "\n",
       "    var pass_mouse_events = true;\n",
       "\n",
       "    canvas_div.resizable({\n",
       "        start: function(event, ui) {\n",
       "            pass_mouse_events = false;\n",
       "        },\n",
       "        resize: function(event, ui) {\n",
       "            fig.request_resize(ui.size.width, ui.size.height);\n",
       "        },\n",
       "        stop: function(event, ui) {\n",
       "            pass_mouse_events = true;\n",
       "            fig.request_resize(ui.size.width, ui.size.height);\n",
       "        },\n",
       "    });\n",
       "\n",
       "    function mouse_event_fn(event) {\n",
       "        if (pass_mouse_events)\n",
       "            return fig.mouse_event(event, event['data']);\n",
       "    }\n",
       "\n",
       "    rubberband.mousedown('button_press', mouse_event_fn);\n",
       "    rubberband.mouseup('button_release', mouse_event_fn);\n",
       "    // Throttle sequential mouse events to 1 every 20ms.\n",
       "    rubberband.mousemove('motion_notify', mouse_event_fn);\n",
       "\n",
       "    rubberband.mouseenter('figure_enter', mouse_event_fn);\n",
       "    rubberband.mouseleave('figure_leave', mouse_event_fn);\n",
       "\n",
       "    canvas_div.on(\"wheel\", function (event) {\n",
       "        event = event.originalEvent;\n",
       "        event['data'] = 'scroll'\n",
       "        if (event.deltaY < 0) {\n",
       "            event.step = 1;\n",
       "        } else {\n",
       "            event.step = -1;\n",
       "        }\n",
       "        mouse_event_fn(event);\n",
       "    });\n",
       "\n",
       "    canvas_div.append(canvas);\n",
       "    canvas_div.append(rubberband);\n",
       "\n",
       "    this.rubberband = rubberband;\n",
       "    this.rubberband_canvas = rubberband[0];\n",
       "    this.rubberband_context = rubberband[0].getContext(\"2d\");\n",
       "    this.rubberband_context.strokeStyle = \"#000000\";\n",
       "\n",
       "    this._resize_canvas = function(width, height) {\n",
       "        // Keep the size of the canvas, canvas container, and rubber band\n",
       "        // canvas in synch.\n",
       "        canvas_div.css('width', width)\n",
       "        canvas_div.css('height', height)\n",
       "\n",
       "        canvas.attr('width', width * mpl.ratio);\n",
       "        canvas.attr('height', height * mpl.ratio);\n",
       "        canvas.attr('style', 'width: ' + width + 'px; height: ' + height + 'px;');\n",
       "\n",
       "        rubberband.attr('width', width);\n",
       "        rubberband.attr('height', height);\n",
       "    }\n",
       "\n",
       "    // Set the figure to an initial 600x600px, this will subsequently be updated\n",
       "    // upon first draw.\n",
       "    this._resize_canvas(600, 600);\n",
       "\n",
       "    // Disable right mouse context menu.\n",
       "    $(this.rubberband_canvas).bind(\"contextmenu\",function(e){\n",
       "        return false;\n",
       "    });\n",
       "\n",
       "    function set_focus () {\n",
       "        canvas.focus();\n",
       "        canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    window.setTimeout(set_focus, 100);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function() {\n",
       "    var fig = this;\n",
       "\n",
       "    var nav_element = $('<div/>')\n",
       "    nav_element.attr('style', 'width: 100%');\n",
       "    this.root.append(nav_element);\n",
       "\n",
       "    // Define a callback function for later on.\n",
       "    function toolbar_event(event) {\n",
       "        return fig.toolbar_button_onclick(event['data']);\n",
       "    }\n",
       "    function toolbar_mouse_event(event) {\n",
       "        return fig.toolbar_button_onmouseover(event['data']);\n",
       "    }\n",
       "\n",
       "    for(var toolbar_ind in mpl.toolbar_items) {\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) {\n",
       "            // put a spacer in here.\n",
       "            continue;\n",
       "        }\n",
       "        var button = $('<button/>');\n",
       "        button.addClass('ui-button ui-widget ui-state-default ui-corner-all ' +\n",
       "                        'ui-button-icon-only');\n",
       "        button.attr('role', 'button');\n",
       "        button.attr('aria-disabled', 'false');\n",
       "        button.click(method_name, toolbar_event);\n",
       "        button.mouseover(tooltip, toolbar_mouse_event);\n",
       "\n",
       "        var icon_img = $('<span/>');\n",
       "        icon_img.addClass('ui-button-icon-primary ui-icon');\n",
       "        icon_img.addClass(image);\n",
       "        icon_img.addClass('ui-corner-all');\n",
       "\n",
       "        var tooltip_span = $('<span/>');\n",
       "        tooltip_span.addClass('ui-button-text');\n",
       "        tooltip_span.html(tooltip);\n",
       "\n",
       "        button.append(icon_img);\n",
       "        button.append(tooltip_span);\n",
       "\n",
       "        nav_element.append(button);\n",
       "    }\n",
       "\n",
       "    var fmt_picker_span = $('<span/>');\n",
       "\n",
       "    var fmt_picker = $('<select/>');\n",
       "    fmt_picker.addClass('mpl-toolbar-option ui-widget ui-widget-content');\n",
       "    fmt_picker_span.append(fmt_picker);\n",
       "    nav_element.append(fmt_picker_span);\n",
       "    this.format_dropdown = fmt_picker[0];\n",
       "\n",
       "    for (var ind in mpl.extensions) {\n",
       "        var fmt = mpl.extensions[ind];\n",
       "        var option = $(\n",
       "            '<option/>', {selected: fmt === mpl.default_extension}).html(fmt);\n",
       "        fmt_picker.append(option)\n",
       "    }\n",
       "\n",
       "    // Add hover states to the ui-buttons\n",
       "    $( \".ui-button\" ).hover(\n",
       "        function() { $(this).addClass(\"ui-state-hover\");},\n",
       "        function() { $(this).removeClass(\"ui-state-hover\");}\n",
       "    );\n",
       "\n",
       "    var status_bar = $('<span class=\"mpl-message\"/>');\n",
       "    nav_element.append(status_bar);\n",
       "    this.message = status_bar[0];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.request_resize = function(x_pixels, y_pixels) {\n",
       "    // Request matplotlib to resize the figure. Matplotlib will then trigger a resize in the client,\n",
       "    // which will in turn request a refresh of the image.\n",
       "    this.send_message('resize', {'width': x_pixels, 'height': y_pixels});\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.send_message = function(type, properties) {\n",
       "    properties['type'] = type;\n",
       "    properties['figure_id'] = this.id;\n",
       "    this.ws.send(JSON.stringify(properties));\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.send_draw_message = function() {\n",
       "    if (!this.waiting) {\n",
       "        this.waiting = true;\n",
       "        this.ws.send(JSON.stringify({type: \"draw\", figure_id: this.id}));\n",
       "    }\n",
       "}\n",
       "\n",
       "\n",
       "mpl.figure.prototype.handle_save = function(fig, msg) {\n",
       "    var format_dropdown = fig.format_dropdown;\n",
       "    var format = format_dropdown.options[format_dropdown.selectedIndex].value;\n",
       "    fig.ondownload(fig, format);\n",
       "}\n",
       "\n",
       "\n",
       "mpl.figure.prototype.handle_resize = function(fig, msg) {\n",
       "    var size = msg['size'];\n",
       "    if (size[0] != fig.canvas.width || size[1] != fig.canvas.height) {\n",
       "        fig._resize_canvas(size[0], size[1]);\n",
       "        fig.send_message(\"refresh\", {});\n",
       "    };\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_rubberband = function(fig, msg) {\n",
       "    var x0 = msg['x0'] / mpl.ratio;\n",
       "    var y0 = (fig.canvas.height - msg['y0']) / mpl.ratio;\n",
       "    var x1 = msg['x1'] / mpl.ratio;\n",
       "    var y1 = (fig.canvas.height - msg['y1']) / mpl.ratio;\n",
       "    x0 = Math.floor(x0) + 0.5;\n",
       "    y0 = Math.floor(y0) + 0.5;\n",
       "    x1 = Math.floor(x1) + 0.5;\n",
       "    y1 = Math.floor(y1) + 0.5;\n",
       "    var min_x = Math.min(x0, x1);\n",
       "    var min_y = Math.min(y0, y1);\n",
       "    var width = Math.abs(x1 - x0);\n",
       "    var height = Math.abs(y1 - y0);\n",
       "\n",
       "    fig.rubberband_context.clearRect(\n",
       "        0, 0, fig.canvas.width, fig.canvas.height);\n",
       "\n",
       "    fig.rubberband_context.strokeRect(min_x, min_y, width, height);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_figure_label = function(fig, msg) {\n",
       "    // Updates the figure title.\n",
       "    fig.header.textContent = msg['label'];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_cursor = function(fig, msg) {\n",
       "    var cursor = msg['cursor'];\n",
       "    switch(cursor)\n",
       "    {\n",
       "    case 0:\n",
       "        cursor = 'pointer';\n",
       "        break;\n",
       "    case 1:\n",
       "        cursor = 'default';\n",
       "        break;\n",
       "    case 2:\n",
       "        cursor = 'crosshair';\n",
       "        break;\n",
       "    case 3:\n",
       "        cursor = 'move';\n",
       "        break;\n",
       "    }\n",
       "    fig.rubberband_canvas.style.cursor = cursor;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_message = function(fig, msg) {\n",
       "    fig.message.textContent = msg['message'];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_draw = function(fig, msg) {\n",
       "    // Request the server to send over a new figure.\n",
       "    fig.send_draw_message();\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_image_mode = function(fig, msg) {\n",
       "    fig.image_mode = msg['mode'];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function() {\n",
       "    // Called whenever the canvas gets updated.\n",
       "    this.send_message(\"ack\", {});\n",
       "}\n",
       "\n",
       "// A function to construct a web socket function for onmessage handling.\n",
       "// Called in the figure constructor.\n",
       "mpl.figure.prototype._make_on_message_function = function(fig) {\n",
       "    return function socket_on_message(evt) {\n",
       "        if (evt.data instanceof Blob) {\n",
       "            /* FIXME: We get \"Resource interpreted as Image but\n",
       "             * transferred with MIME type text/plain:\" errors on\n",
       "             * Chrome.  But how to set the MIME type?  It doesn't seem\n",
       "             * to be part of the websocket stream */\n",
       "            evt.data.type = \"image/png\";\n",
       "\n",
       "            /* Free the memory for the previous frames */\n",
       "            if (fig.imageObj.src) {\n",
       "                (window.URL || window.webkitURL).revokeObjectURL(\n",
       "                    fig.imageObj.src);\n",
       "            }\n",
       "\n",
       "            fig.imageObj.src = (window.URL || window.webkitURL).createObjectURL(\n",
       "                evt.data);\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        }\n",
       "        else if (typeof evt.data === 'string' && evt.data.slice(0, 21) == \"data:image/png;base64\") {\n",
       "            fig.imageObj.src = evt.data;\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        var msg = JSON.parse(evt.data);\n",
       "        var msg_type = msg['type'];\n",
       "\n",
       "        // Call the  \"handle_{type}\" callback, which takes\n",
       "        // the figure and JSON message as its only arguments.\n",
       "        try {\n",
       "            var callback = fig[\"handle_\" + msg_type];\n",
       "        } catch (e) {\n",
       "            console.log(\"No handler for the '\" + msg_type + \"' message type: \", msg);\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        if (callback) {\n",
       "            try {\n",
       "                // console.log(\"Handling '\" + msg_type + \"' message: \", msg);\n",
       "                callback(fig, msg);\n",
       "            } catch (e) {\n",
       "                console.log(\"Exception inside the 'handler_\" + msg_type + \"' callback:\", e, e.stack, msg);\n",
       "            }\n",
       "        }\n",
       "    };\n",
       "}\n",
       "\n",
       "// from http://stackoverflow.com/questions/1114465/getting-mouse-location-in-canvas\n",
       "mpl.findpos = function(e) {\n",
       "    //this section is from http://www.quirksmode.org/js/events_properties.html\n",
       "    var targ;\n",
       "    if (!e)\n",
       "        e = window.event;\n",
       "    if (e.target)\n",
       "        targ = e.target;\n",
       "    else if (e.srcElement)\n",
       "        targ = e.srcElement;\n",
       "    if (targ.nodeType == 3) // defeat Safari bug\n",
       "        targ = targ.parentNode;\n",
       "\n",
       "    // jQuery normalizes the pageX and pageY\n",
       "    // pageX,Y are the mouse positions relative to the document\n",
       "    // offset() returns the position of the element relative to the document\n",
       "    var x = e.pageX - $(targ).offset().left;\n",
       "    var y = e.pageY - $(targ).offset().top;\n",
       "\n",
       "    return {\"x\": x, \"y\": y};\n",
       "};\n",
       "\n",
       "/*\n",
       " * return a copy of an object with only non-object keys\n",
       " * we need this to avoid circular references\n",
       " * http://stackoverflow.com/a/24161582/3208463\n",
       " */\n",
       "function simpleKeys (original) {\n",
       "  return Object.keys(original).reduce(function (obj, key) {\n",
       "    if (typeof original[key] !== 'object')\n",
       "        obj[key] = original[key]\n",
       "    return obj;\n",
       "  }, {});\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.mouse_event = function(event, name) {\n",
       "    var canvas_pos = mpl.findpos(event)\n",
       "\n",
       "    if (name === 'button_press')\n",
       "    {\n",
       "        this.canvas.focus();\n",
       "        this.canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    var x = canvas_pos.x * mpl.ratio;\n",
       "    var y = canvas_pos.y * mpl.ratio;\n",
       "\n",
       "    this.send_message(name, {x: x, y: y, button: event.button,\n",
       "                             step: event.step,\n",
       "                             guiEvent: simpleKeys(event)});\n",
       "\n",
       "    /* This prevents the web browser from automatically changing to\n",
       "     * the text insertion cursor when the button is pressed.  We want\n",
       "     * to control all of the cursor setting manually through the\n",
       "     * 'cursor' event from matplotlib */\n",
       "    event.preventDefault();\n",
       "    return false;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function(event, name) {\n",
       "    // Handle any extra behaviour associated with a key event\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.key_event = function(event, name) {\n",
       "\n",
       "    // Prevent repeat events\n",
       "    if (name == 'key_press')\n",
       "    {\n",
       "        if (event.which === this._key)\n",
       "            return;\n",
       "        else\n",
       "            this._key = event.which;\n",
       "    }\n",
       "    if (name == 'key_release')\n",
       "        this._key = null;\n",
       "\n",
       "    var value = '';\n",
       "    if (event.ctrlKey && event.which != 17)\n",
       "        value += \"ctrl+\";\n",
       "    if (event.altKey && event.which != 18)\n",
       "        value += \"alt+\";\n",
       "    if (event.shiftKey && event.which != 16)\n",
       "        value += \"shift+\";\n",
       "\n",
       "    value += 'k';\n",
       "    value += event.which.toString();\n",
       "\n",
       "    this._key_event_extra(event, name);\n",
       "\n",
       "    this.send_message(name, {key: value,\n",
       "                             guiEvent: simpleKeys(event)});\n",
       "    return false;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onclick = function(name) {\n",
       "    if (name == 'download') {\n",
       "        this.handle_save(this, null);\n",
       "    } else {\n",
       "        this.send_message(\"toolbar_button\", {name: name});\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onmouseover = function(tooltip) {\n",
       "    this.message.textContent = tooltip;\n",
       "};\n",
       "mpl.toolbar_items = [[\"Home\", \"Reset original view\", \"fa fa-home icon-home\", \"home\"], [\"Back\", \"Back to  previous view\", \"fa fa-arrow-left icon-arrow-left\", \"back\"], [\"Forward\", \"Forward to next view\", \"fa fa-arrow-right icon-arrow-right\", \"forward\"], [\"\", \"\", \"\", \"\"], [\"Pan\", \"Pan axes with left mouse, zoom with right\", \"fa fa-arrows icon-move\", \"pan\"], [\"Zoom\", \"Zoom to rectangle\", \"fa fa-square-o icon-check-empty\", \"zoom\"], [\"\", \"\", \"\", \"\"], [\"Download\", \"Download plot\", \"fa fa-floppy-o icon-save\", \"download\"]];\n",
       "\n",
       "mpl.extensions = [\"eps\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\"];\n",
       "\n",
       "mpl.default_extension = \"png\";var comm_websocket_adapter = function(comm) {\n",
       "    // Create a \"websocket\"-like object which calls the given IPython comm\n",
       "    // object with the appropriate methods. Currently this is a non binary\n",
       "    // socket, so there is still some room for performance tuning.\n",
       "    var ws = {};\n",
       "\n",
       "    ws.close = function() {\n",
       "        comm.close()\n",
       "    };\n",
       "    ws.send = function(m) {\n",
       "        //console.log('sending', m);\n",
       "        comm.send(m);\n",
       "    };\n",
       "    // Register the callback with on_msg.\n",
       "    comm.on_msg(function(msg) {\n",
       "        //console.log('receiving', msg['content']['data'], msg);\n",
       "        // Pass the mpl event to the overriden (by mpl) onmessage function.\n",
       "        ws.onmessage(msg['content']['data'])\n",
       "    });\n",
       "    return ws;\n",
       "}\n",
       "\n",
       "mpl.mpl_figure_comm = function(comm, msg) {\n",
       "    // This is the function which gets called when the mpl process\n",
       "    // starts-up an IPython Comm through the \"matplotlib\" channel.\n",
       "\n",
       "    var id = msg.content.data.id;\n",
       "    // Get hold of the div created by the display call when the Comm\n",
       "    // socket was opened in Python.\n",
       "    var element = $(\"#\" + id);\n",
       "    var ws_proxy = comm_websocket_adapter(comm)\n",
       "\n",
       "    function ondownload(figure, format) {\n",
       "        window.open(figure.imageObj.src);\n",
       "    }\n",
       "\n",
       "    var fig = new mpl.figure(id, ws_proxy,\n",
       "                           ondownload,\n",
       "                           element.get(0));\n",
       "\n",
       "    // Call onopen now - mpl needs it, as it is assuming we've passed it a real\n",
       "    // web socket which is closed, not our websocket->open comm proxy.\n",
       "    ws_proxy.onopen();\n",
       "\n",
       "    fig.parent_element = element.get(0);\n",
       "    fig.cell_info = mpl.find_output_cell(\"<div id='\" + id + \"'></div>\");\n",
       "    if (!fig.cell_info) {\n",
       "        console.error(\"Failed to find cell for figure\", id, fig);\n",
       "        return;\n",
       "    }\n",
       "\n",
       "    var output_index = fig.cell_info[2]\n",
       "    var cell = fig.cell_info[0];\n",
       "\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_close = function(fig, msg) {\n",
       "    var width = fig.canvas.width/mpl.ratio\n",
       "    fig.root.unbind('remove')\n",
       "\n",
       "    // Update the output cell to use the data from the current canvas.\n",
       "    fig.push_to_output();\n",
       "    var dataURL = fig.canvas.toDataURL();\n",
       "    // Re-enable the keyboard manager in IPython - without this line, in FF,\n",
       "    // the notebook keyboard shortcuts fail.\n",
       "    IPython.keyboard_manager.enable()\n",
       "    $(fig.parent_element).html('<img src=\"' + dataURL + '\" width=\"' + width + '\">');\n",
       "    fig.close_ws(fig, msg);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.close_ws = function(fig, msg){\n",
       "    fig.send_message('closing', msg);\n",
       "    // fig.ws.close()\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.push_to_output = function(remove_interactive) {\n",
       "    // Turn the data on the canvas into data in the output cell.\n",
       "    var width = this.canvas.width/mpl.ratio\n",
       "    var dataURL = this.canvas.toDataURL();\n",
       "    this.cell_info[1]['text/html'] = '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function() {\n",
       "    // Tell IPython that the notebook contents must change.\n",
       "    IPython.notebook.set_dirty(true);\n",
       "    this.send_message(\"ack\", {});\n",
       "    var fig = this;\n",
       "    // Wait a second, then push the new image to the DOM so\n",
       "    // that it is saved nicely (might be nice to debounce this).\n",
       "    setTimeout(function () { fig.push_to_output() }, 1000);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function() {\n",
       "    var fig = this;\n",
       "\n",
       "    var nav_element = $('<div/>')\n",
       "    nav_element.attr('style', 'width: 100%');\n",
       "    this.root.append(nav_element);\n",
       "\n",
       "    // Define a callback function for later on.\n",
       "    function toolbar_event(event) {\n",
       "        return fig.toolbar_button_onclick(event['data']);\n",
       "    }\n",
       "    function toolbar_mouse_event(event) {\n",
       "        return fig.toolbar_button_onmouseover(event['data']);\n",
       "    }\n",
       "\n",
       "    for(var toolbar_ind in mpl.toolbar_items){\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) { continue; };\n",
       "\n",
       "        var button = $('<button class=\"btn btn-default\" href=\"#\" title=\"' + name + '\"><i class=\"fa ' + image + ' fa-lg\"></i></button>');\n",
       "        button.click(method_name, toolbar_event);\n",
       "        button.mouseover(tooltip, toolbar_mouse_event);\n",
       "        nav_element.append(button);\n",
       "    }\n",
       "\n",
       "    // Add the status bar.\n",
       "    var status_bar = $('<span class=\"mpl-message\" style=\"text-align:right; float: right;\"/>');\n",
       "    nav_element.append(status_bar);\n",
       "    this.message = status_bar[0];\n",
       "\n",
       "    // Add the close button to the window.\n",
       "    var buttongrp = $('<div class=\"btn-group inline pull-right\"></div>');\n",
       "    var button = $('<button class=\"btn btn-mini btn-primary\" href=\"#\" title=\"Stop Interaction\"><i class=\"fa fa-power-off icon-remove icon-large\"></i></button>');\n",
       "    button.click(function (evt) { fig.handle_close(fig, {}); } );\n",
       "    button.mouseover('Stop Interaction', toolbar_mouse_event);\n",
       "    buttongrp.append(button);\n",
       "    var titlebar = this.root.find($('.ui-dialog-titlebar'));\n",
       "    titlebar.prepend(buttongrp);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function(el){\n",
       "    var fig = this\n",
       "    el.on(\"remove\", function(){\n",
       "\tfig.close_ws(fig, {});\n",
       "    });\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function(el){\n",
       "    // this is important to make the div 'focusable\n",
       "    el.attr('tabindex', 0)\n",
       "    // reach out to IPython and tell the keyboard manager to turn it's self\n",
       "    // off when our div gets focus\n",
       "\n",
       "    // location in version 3\n",
       "    if (IPython.notebook.keyboard_manager) {\n",
       "        IPython.notebook.keyboard_manager.register_events(el);\n",
       "    }\n",
       "    else {\n",
       "        // location in version 2\n",
       "        IPython.keyboard_manager.register_events(el);\n",
       "    }\n",
       "\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function(event, name) {\n",
       "    var manager = IPython.notebook.keyboard_manager;\n",
       "    if (!manager)\n",
       "        manager = IPython.keyboard_manager;\n",
       "\n",
       "    // Check for shift+enter\n",
       "    if (event.shiftKey && event.which == 13) {\n",
       "        this.canvas_div.blur();\n",
       "        // select the cell after this one\n",
       "        var index = IPython.notebook.find_cell_index(this.cell_info[0]);\n",
       "        IPython.notebook.select(index + 1);\n",
       "    }\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_save = function(fig, msg) {\n",
       "    fig.ondownload(fig, null);\n",
       "}\n",
       "\n",
       "\n",
       "mpl.find_output_cell = function(html_output) {\n",
       "    // Return the cell and output element which can be found *uniquely* in the notebook.\n",
       "    // Note - this is a bit hacky, but it is done because the \"notebook_saving.Notebook\"\n",
       "    // IPython event is triggered only after the cells have been serialised, which for\n",
       "    // our purposes (turning an active figure into a static one), is too late.\n",
       "    var cells = IPython.notebook.get_cells();\n",
       "    var ncells = cells.length;\n",
       "    for (var i=0; i<ncells; i++) {\n",
       "        var cell = cells[i];\n",
       "        if (cell.cell_type === 'code'){\n",
       "            for (var j=0; j<cell.output_area.outputs.length; j++) {\n",
       "                var data = cell.output_area.outputs[j];\n",
       "                if (data.data) {\n",
       "                    // IPython >= 3 moved mimebundle to data attribute of output\n",
       "                    data = data.data;\n",
       "                }\n",
       "                if (data['text/html'] == html_output) {\n",
       "                    return [cell, data, j];\n",
       "                }\n",
       "            }\n",
       "        }\n",
       "    }\n",
       "}\n",
       "\n",
       "// Register the function which deals with the matplotlib target/channel.\n",
       "// The kernel may be null if the page has been refreshed.\n",
       "if (IPython.notebook.kernel != null) {\n",
       "    IPython.notebook.kernel.comm_manager.register_target('matplotlib', mpl.mpl_figure_comm);\n",
       "}\n"
      ],
      "text/plain": [
       "<IPython.core.display.Javascript object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
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\" width=\"800\">"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Plot k-values\n",
    "k_val_fig = plt.figure(figsize=(8, 4))\n",
    "ax = k_val_fig.add_subplot(111)\n",
    "ax.hist(ks)\n",
    "ax.set_title('k-values')\n",
    "ax.spines['right'].set_visible(False)\n",
    "ax.spines['top'].set_visible(False)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "collapsed": true
   },
   "source": [
    "Almost all of the k-values are below 0.5. So, the model has converged and the PSIS-LOO estimates are reliable. Since the LOO-LPD value of the hierarchical model is higher than that of the pooled model, the hierarchical model is a better fit for the data. The difference is very small probably because the distribution of the data is skewed when split hierarchically based on language.\n",
    "\n",
    "Now we fit a similar hierarchical model by splitting the data hierarchically based on country. We follow the exact same steps as described for the above hierarchical model."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "country\n",
       "Afghanistan          1\n",
       "Argentina            3\n",
       "Aruba                1\n",
       "Australia           39\n",
       "Belgium              1\n",
       "Brazil               5\n",
       "Canada              59\n",
       "Chile                1\n",
       "China               13\n",
       "Colombia             1\n",
       "Czech Republic       3\n",
       "Denmark              8\n",
       "Finland              1\n",
       "France             101\n",
       "Georgia              1\n",
       "Germany             80\n",
       "Greece               1\n",
       "Hong Kong           13\n",
       "Hungary              2\n",
       "Iceland              1\n",
       "India                5\n",
       "Indonesia            1\n",
       "Iran                 4\n",
       "Ireland              7\n",
       "Israel               1\n",
       "Italy               11\n",
       "Japan               15\n",
       "Mexico               6\n",
       "Netherlands          3\n",
       "New Line             1\n",
       "New Zealand         11\n",
       "Norway               4\n",
       "Official site        1\n",
       "Peru                 1\n",
       "Poland               1\n",
       "Romania              2\n",
       "Russia               3\n",
       "South Africa         3\n",
       "South Korea          8\n",
       "Spain               21\n",
       "Taiwan               2\n",
       "Thailand             4\n",
       "UK                 318\n",
       "USA               2987\n",
       "West Germany         1\n",
       "dtype: int64"
      ]
     },
     "execution_count": 23,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Set hierarchical feature\n",
    "hier_feature_2 = 'country'\n",
    "\n",
    "# Convert hierarchical feature to numbers and add to training data \n",
    "data[hier_feature_2] = pd.Categorical(data[hier_feature_2])\n",
    "train_data[hier_feature_2] = data[hier_feature_2].cat.codes.values + 1\n",
    "train_data['K'] = train_data[hier_feature_2].max()\n",
    "\n",
    "# Distribution of data based on the hierarchical model\n",
    "data.groupby(hier_feature_2)['gross'].size()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "data {\n",
      "  int<lower=0> N;\n",
      "  int<lower=0> K;\n",
      "  int<lower=0> P;\n",
      "  vector[N] num_critic_for_reviews;\n",
      "  vector[N] num_user_for_reviews;\n",
      "  vector[N] director_facebook_likes;\n",
      "  vector[N] num_voted_users;\n",
      "  vector[N] cast_total_facebook_likes;\n",
      "  vector[N] imdb_score;\n",
      "  vector[N] actor_3_facebook_likes;\n",
      "  vector[N] actor_2_facebook_likes;\n",
      "  vector[N] actor_1_facebook_likes;\n",
      "  vector[N] gross;\n",
      "  int country[N];\n",
      "}\n",
      "parameters {\n",
      "  real<lower=0> sigma;\n",
      "  matrix[P, K] beta_raw;\n",
      "  real<lower=0> beta_mu[P];\n",
      "  real<lower=0> beta_sigma[P];\n",
      "}\n",
      "transformed parameters {\n",
      "  matrix[P, K] beta;\n",
      "  vector[N] mu;\n",
      "  for (p in 1:P)\n",
      "    beta[p] = beta_mu[p] + beta_raw[p] * beta_sigma[p];\n",
      "  for (n in 1:N)\n",
      "    mu[n] = beta[1, country[n]] + beta[2, country[n]]*num_critic_for_reviews[n] + beta[3, country[n]]*num_user_for_reviews[n] + beta[4, country[n]]*director_facebook_likes[n] + beta[5, country[n]]*num_voted_users[n] + beta[6, country[n]]*cast_total_facebook_likes[n] + beta[7, country[n]]*imdb_score[n] + beta[8, country[n]]*actor_3_facebook_likes[n] + beta[9, country[n]]*actor_2_facebook_likes[n] + beta[10, country[n]]*actor_1_facebook_likes[n];\n",
      "}\n",
      "model {\n",
      "  for (p in 1:P)\n",
      "      beta_raw[p] ~ normal(0, 1);\n",
      "  gross ~ normal(mu, sigma);\n",
      "}\n",
      "generated quantities {\n",
      "  vector[N] log_lik;\n",
      "  for (n in 1:N)\n",
      "    log_lik[n] = normal_lpdf(gross[n]|mu[n], sigma);\n",
      "}\n",
      "\n"
     ]
    }
   ],
   "source": [
    "# Generate code for hierarchical model\n",
    "hier_model_code_2 = \"\"\"\n",
    "data {\n",
    "  int<lower=0> N;\n",
    "  int<lower=0> K;\n",
    "  int<lower=0> P;\\n  \"\"\" +\\\n",
    "  \";\\n  \".join([\"vector[N] {}\".format(f) for f in features+[predict_feature]])\\\n",
    "+\"\"\";\n",
    "  int country[N];\\n}\n",
    "parameters {\n",
    "  real<lower=0> sigma;\n",
    "  matrix[P, K] beta_raw;\n",
    "  real<lower=0> beta_mu[P];\n",
    "  real<lower=0> beta_sigma[P];\n",
    "}\n",
    "transformed parameters {\n",
    "  matrix[P, K] beta;\n",
    "  vector[N] mu;\n",
    "  for (p in 1:P)\n",
    "    beta[p] = beta_mu[p] + beta_raw[p] * beta_sigma[p];\n",
    "  for (n in 1:N)\n",
    "    mu[n] = beta[1, country[n]] + \"\"\" +\\\n",
    "    \" + \".join([\"beta[{}, {}[n]]*{}[n]\".format(i+2, hier_feature_2, features[i]) for i in range(len(features))])\\\n",
    "+ \"\"\";\n",
    "}\n",
    "model {\n",
    "  for (p in 1:P)\n",
    "      beta_raw[p] ~ normal(0, 1);\n",
    "  gross ~ normal(mu, sigma);\n",
    "}\n",
    "generated quantities {\n",
    "  vector[N] log_lik;\n",
    "  for (n in 1:N)\n",
    "    log_lik[n] = normal_lpdf(gross[n]|mu[n], sigma);\n",
    "}\n",
    "\"\"\"\n",
    "print(hier_model_code_2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "INFO:pystan:COMPILING THE C++ CODE FOR MODEL anon_model_438593b000b9cd4786cedd06d43f84a6 NOW.\n"
     ]
    }
   ],
   "source": [
    "# Fit the model to data\n",
    "hier_model_fit_2 = pystan.stan(model_code=hier_model_code_2, data=train_data, iter=4000, chains=4)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "# Extract samples\n",
    "hier_model_trace_2 = hier_model_fit_2.extract()\n",
    "# print(hier_model_fit_2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "application/javascript": [
       "/* Put everything inside the global mpl namespace */\n",
       "window.mpl = {};\n",
       "\n",
       "\n",
       "mpl.get_websocket_type = function() {\n",
       "    if (typeof(WebSocket) !== 'undefined') {\n",
       "        return WebSocket;\n",
       "    } else if (typeof(MozWebSocket) !== 'undefined') {\n",
       "        return MozWebSocket;\n",
       "    } else {\n",
       "        alert('Your browser does not have WebSocket support.' +\n",
       "              'Please try Chrome, Safari or Firefox ≥ 6. ' +\n",
       "              'Firefox 4 and 5 are also supported but you ' +\n",
       "              'have to enable WebSockets in about:config.');\n",
       "    };\n",
       "}\n",
       "\n",
       "mpl.figure = function(figure_id, websocket, ondownload, parent_element) {\n",
       "    this.id = figure_id;\n",
       "\n",
       "    this.ws = websocket;\n",
       "\n",
       "    this.supports_binary = (this.ws.binaryType != undefined);\n",
       "\n",
       "    if (!this.supports_binary) {\n",
       "        var warnings = document.getElementById(\"mpl-warnings\");\n",
       "        if (warnings) {\n",
       "            warnings.style.display = 'block';\n",
       "            warnings.textContent = (\n",
       "                \"This browser does not support binary websocket messages. \" +\n",
       "                    \"Performance may be slow.\");\n",
       "        }\n",
       "    }\n",
       "\n",
       "    this.imageObj = new Image();\n",
       "\n",
       "    this.context = undefined;\n",
       "    this.message = undefined;\n",
       "    this.canvas = undefined;\n",
       "    this.rubberband_canvas = undefined;\n",
       "    this.rubberband_context = undefined;\n",
       "    this.format_dropdown = undefined;\n",
       "\n",
       "    this.image_mode = 'full';\n",
       "\n",
       "    this.root = $('<div/>');\n",
       "    this._root_extra_style(this.root)\n",
       "    this.root.attr('style', 'display: inline-block');\n",
       "\n",
       "    $(parent_element).append(this.root);\n",
       "\n",
       "    this._init_header(this);\n",
       "    this._init_canvas(this);\n",
       "    this._init_toolbar(this);\n",
       "\n",
       "    var fig = this;\n",
       "\n",
       "    this.waiting = false;\n",
       "\n",
       "    this.ws.onopen =  function () {\n",
       "            fig.send_message(\"supports_binary\", {value: fig.supports_binary});\n",
       "            fig.send_message(\"send_image_mode\", {});\n",
       "            if (mpl.ratio != 1) {\n",
       "                fig.send_message(\"set_dpi_ratio\", {'dpi_ratio': mpl.ratio});\n",
       "            }\n",
       "            fig.send_message(\"refresh\", {});\n",
       "        }\n",
       "\n",
       "    this.imageObj.onload = function() {\n",
       "            if (fig.image_mode == 'full') {\n",
       "                // Full images could contain transparency (where diff images\n",
       "                // almost always do), so we need to clear the canvas so that\n",
       "                // there is no ghosting.\n",
       "                fig.context.clearRect(0, 0, fig.canvas.width, fig.canvas.height);\n",
       "            }\n",
       "            fig.context.drawImage(fig.imageObj, 0, 0);\n",
       "        };\n",
       "\n",
       "    this.imageObj.onunload = function() {\n",
       "        this.ws.close();\n",
       "    }\n",
       "\n",
       "    this.ws.onmessage = this._make_on_message_function(this);\n",
       "\n",
       "    this.ondownload = ondownload;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_header = function() {\n",
       "    var titlebar = $(\n",
       "        '<div class=\"ui-dialog-titlebar ui-widget-header ui-corner-all ' +\n",
       "        'ui-helper-clearfix\"/>');\n",
       "    var titletext = $(\n",
       "        '<div class=\"ui-dialog-title\" style=\"width: 100%; ' +\n",
       "        'text-align: center; padding: 3px;\"/>');\n",
       "    titlebar.append(titletext)\n",
       "    this.root.append(titlebar);\n",
       "    this.header = titletext[0];\n",
       "}\n",
       "\n",
       "\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function(canvas_div) {\n",
       "\n",
       "}\n",
       "\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function(canvas_div) {\n",
       "\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_canvas = function() {\n",
       "    var fig = this;\n",
       "\n",
       "    var canvas_div = $('<div/>');\n",
       "\n",
       "    canvas_div.attr('style', 'position: relative; clear: both; outline: 0');\n",
       "\n",
       "    function canvas_keyboard_event(event) {\n",
       "        return fig.key_event(event, event['data']);\n",
       "    }\n",
       "\n",
       "    canvas_div.keydown('key_press', canvas_keyboard_event);\n",
       "    canvas_div.keyup('key_release', canvas_keyboard_event);\n",
       "    this.canvas_div = canvas_div\n",
       "    this._canvas_extra_style(canvas_div)\n",
       "    this.root.append(canvas_div);\n",
       "\n",
       "    var canvas = $('<canvas/>');\n",
       "    canvas.addClass('mpl-canvas');\n",
       "    canvas.attr('style', \"left: 0; top: 0; z-index: 0; outline: 0\")\n",
       "\n",
       "    this.canvas = canvas[0];\n",
       "    this.context = canvas[0].getContext(\"2d\");\n",
       "\n",
       "    var backingStore = this.context.backingStorePixelRatio ||\n",
       "\tthis.context.webkitBackingStorePixelRatio ||\n",
       "\tthis.context.mozBackingStorePixelRatio ||\n",
       "\tthis.context.msBackingStorePixelRatio ||\n",
       "\tthis.context.oBackingStorePixelRatio ||\n",
       "\tthis.context.backingStorePixelRatio || 1;\n",
       "\n",
       "    mpl.ratio = (window.devicePixelRatio || 1) / backingStore;\n",
       "\n",
       "    var rubberband = $('<canvas/>');\n",
       "    rubberband.attr('style', \"position: absolute; left: 0; top: 0; z-index: 1;\")\n",
       "\n",
       "    var pass_mouse_events = true;\n",
       "\n",
       "    canvas_div.resizable({\n",
       "        start: function(event, ui) {\n",
       "            pass_mouse_events = false;\n",
       "        },\n",
       "        resize: function(event, ui) {\n",
       "            fig.request_resize(ui.size.width, ui.size.height);\n",
       "        },\n",
       "        stop: function(event, ui) {\n",
       "            pass_mouse_events = true;\n",
       "            fig.request_resize(ui.size.width, ui.size.height);\n",
       "        },\n",
       "    });\n",
       "\n",
       "    function mouse_event_fn(event) {\n",
       "        if (pass_mouse_events)\n",
       "            return fig.mouse_event(event, event['data']);\n",
       "    }\n",
       "\n",
       "    rubberband.mousedown('button_press', mouse_event_fn);\n",
       "    rubberband.mouseup('button_release', mouse_event_fn);\n",
       "    // Throttle sequential mouse events to 1 every 20ms.\n",
       "    rubberband.mousemove('motion_notify', mouse_event_fn);\n",
       "\n",
       "    rubberband.mouseenter('figure_enter', mouse_event_fn);\n",
       "    rubberband.mouseleave('figure_leave', mouse_event_fn);\n",
       "\n",
       "    canvas_div.on(\"wheel\", function (event) {\n",
       "        event = event.originalEvent;\n",
       "        event['data'] = 'scroll'\n",
       "        if (event.deltaY < 0) {\n",
       "            event.step = 1;\n",
       "        } else {\n",
       "            event.step = -1;\n",
       "        }\n",
       "        mouse_event_fn(event);\n",
       "    });\n",
       "\n",
       "    canvas_div.append(canvas);\n",
       "    canvas_div.append(rubberband);\n",
       "\n",
       "    this.rubberband = rubberband;\n",
       "    this.rubberband_canvas = rubberband[0];\n",
       "    this.rubberband_context = rubberband[0].getContext(\"2d\");\n",
       "    this.rubberband_context.strokeStyle = \"#000000\";\n",
       "\n",
       "    this._resize_canvas = function(width, height) {\n",
       "        // Keep the size of the canvas, canvas container, and rubber band\n",
       "        // canvas in synch.\n",
       "        canvas_div.css('width', width)\n",
       "        canvas_div.css('height', height)\n",
       "\n",
       "        canvas.attr('width', width * mpl.ratio);\n",
       "        canvas.attr('height', height * mpl.ratio);\n",
       "        canvas.attr('style', 'width: ' + width + 'px; height: ' + height + 'px;');\n",
       "\n",
       "        rubberband.attr('width', width);\n",
       "        rubberband.attr('height', height);\n",
       "    }\n",
       "\n",
       "    // Set the figure to an initial 600x600px, this will subsequently be updated\n",
       "    // upon first draw.\n",
       "    this._resize_canvas(600, 600);\n",
       "\n",
       "    // Disable right mouse context menu.\n",
       "    $(this.rubberband_canvas).bind(\"contextmenu\",function(e){\n",
       "        return false;\n",
       "    });\n",
       "\n",
       "    function set_focus () {\n",
       "        canvas.focus();\n",
       "        canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    window.setTimeout(set_focus, 100);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function() {\n",
       "    var fig = this;\n",
       "\n",
       "    var nav_element = $('<div/>')\n",
       "    nav_element.attr('style', 'width: 100%');\n",
       "    this.root.append(nav_element);\n",
       "\n",
       "    // Define a callback function for later on.\n",
       "    function toolbar_event(event) {\n",
       "        return fig.toolbar_button_onclick(event['data']);\n",
       "    }\n",
       "    function toolbar_mouse_event(event) {\n",
       "        return fig.toolbar_button_onmouseover(event['data']);\n",
       "    }\n",
       "\n",
       "    for(var toolbar_ind in mpl.toolbar_items) {\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) {\n",
       "            // put a spacer in here.\n",
       "            continue;\n",
       "        }\n",
       "        var button = $('<button/>');\n",
       "        button.addClass('ui-button ui-widget ui-state-default ui-corner-all ' +\n",
       "                        'ui-button-icon-only');\n",
       "        button.attr('role', 'button');\n",
       "        button.attr('aria-disabled', 'false');\n",
       "        button.click(method_name, toolbar_event);\n",
       "        button.mouseover(tooltip, toolbar_mouse_event);\n",
       "\n",
       "        var icon_img = $('<span/>');\n",
       "        icon_img.addClass('ui-button-icon-primary ui-icon');\n",
       "        icon_img.addClass(image);\n",
       "        icon_img.addClass('ui-corner-all');\n",
       "\n",
       "        var tooltip_span = $('<span/>');\n",
       "        tooltip_span.addClass('ui-button-text');\n",
       "        tooltip_span.html(tooltip);\n",
       "\n",
       "        button.append(icon_img);\n",
       "        button.append(tooltip_span);\n",
       "\n",
       "        nav_element.append(button);\n",
       "    }\n",
       "\n",
       "    var fmt_picker_span = $('<span/>');\n",
       "\n",
       "    var fmt_picker = $('<select/>');\n",
       "    fmt_picker.addClass('mpl-toolbar-option ui-widget ui-widget-content');\n",
       "    fmt_picker_span.append(fmt_picker);\n",
       "    nav_element.append(fmt_picker_span);\n",
       "    this.format_dropdown = fmt_picker[0];\n",
       "\n",
       "    for (var ind in mpl.extensions) {\n",
       "        var fmt = mpl.extensions[ind];\n",
       "        var option = $(\n",
       "            '<option/>', {selected: fmt === mpl.default_extension}).html(fmt);\n",
       "        fmt_picker.append(option)\n",
       "    }\n",
       "\n",
       "    // Add hover states to the ui-buttons\n",
       "    $( \".ui-button\" ).hover(\n",
       "        function() { $(this).addClass(\"ui-state-hover\");},\n",
       "        function() { $(this).removeClass(\"ui-state-hover\");}\n",
       "    );\n",
       "\n",
       "    var status_bar = $('<span class=\"mpl-message\"/>');\n",
       "    nav_element.append(status_bar);\n",
       "    this.message = status_bar[0];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.request_resize = function(x_pixels, y_pixels) {\n",
       "    // Request matplotlib to resize the figure. Matplotlib will then trigger a resize in the client,\n",
       "    // which will in turn request a refresh of the image.\n",
       "    this.send_message('resize', {'width': x_pixels, 'height': y_pixels});\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.send_message = function(type, properties) {\n",
       "    properties['type'] = type;\n",
       "    properties['figure_id'] = this.id;\n",
       "    this.ws.send(JSON.stringify(properties));\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.send_draw_message = function() {\n",
       "    if (!this.waiting) {\n",
       "        this.waiting = true;\n",
       "        this.ws.send(JSON.stringify({type: \"draw\", figure_id: this.id}));\n",
       "    }\n",
       "}\n",
       "\n",
       "\n",
       "mpl.figure.prototype.handle_save = function(fig, msg) {\n",
       "    var format_dropdown = fig.format_dropdown;\n",
       "    var format = format_dropdown.options[format_dropdown.selectedIndex].value;\n",
       "    fig.ondownload(fig, format);\n",
       "}\n",
       "\n",
       "\n",
       "mpl.figure.prototype.handle_resize = function(fig, msg) {\n",
       "    var size = msg['size'];\n",
       "    if (size[0] != fig.canvas.width || size[1] != fig.canvas.height) {\n",
       "        fig._resize_canvas(size[0], size[1]);\n",
       "        fig.send_message(\"refresh\", {});\n",
       "    };\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_rubberband = function(fig, msg) {\n",
       "    var x0 = msg['x0'] / mpl.ratio;\n",
       "    var y0 = (fig.canvas.height - msg['y0']) / mpl.ratio;\n",
       "    var x1 = msg['x1'] / mpl.ratio;\n",
       "    var y1 = (fig.canvas.height - msg['y1']) / mpl.ratio;\n",
       "    x0 = Math.floor(x0) + 0.5;\n",
       "    y0 = Math.floor(y0) + 0.5;\n",
       "    x1 = Math.floor(x1) + 0.5;\n",
       "    y1 = Math.floor(y1) + 0.5;\n",
       "    var min_x = Math.min(x0, x1);\n",
       "    var min_y = Math.min(y0, y1);\n",
       "    var width = Math.abs(x1 - x0);\n",
       "    var height = Math.abs(y1 - y0);\n",
       "\n",
       "    fig.rubberband_context.clearRect(\n",
       "        0, 0, fig.canvas.width, fig.canvas.height);\n",
       "\n",
       "    fig.rubberband_context.strokeRect(min_x, min_y, width, height);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_figure_label = function(fig, msg) {\n",
       "    // Updates the figure title.\n",
       "    fig.header.textContent = msg['label'];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_cursor = function(fig, msg) {\n",
       "    var cursor = msg['cursor'];\n",
       "    switch(cursor)\n",
       "    {\n",
       "    case 0:\n",
       "        cursor = 'pointer';\n",
       "        break;\n",
       "    case 1:\n",
       "        cursor = 'default';\n",
       "        break;\n",
       "    case 2:\n",
       "        cursor = 'crosshair';\n",
       "        break;\n",
       "    case 3:\n",
       "        cursor = 'move';\n",
       "        break;\n",
       "    }\n",
       "    fig.rubberband_canvas.style.cursor = cursor;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_message = function(fig, msg) {\n",
       "    fig.message.textContent = msg['message'];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_draw = function(fig, msg) {\n",
       "    // Request the server to send over a new figure.\n",
       "    fig.send_draw_message();\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_image_mode = function(fig, msg) {\n",
       "    fig.image_mode = msg['mode'];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function() {\n",
       "    // Called whenever the canvas gets updated.\n",
       "    this.send_message(\"ack\", {});\n",
       "}\n",
       "\n",
       "// A function to construct a web socket function for onmessage handling.\n",
       "// Called in the figure constructor.\n",
       "mpl.figure.prototype._make_on_message_function = function(fig) {\n",
       "    return function socket_on_message(evt) {\n",
       "        if (evt.data instanceof Blob) {\n",
       "            /* FIXME: We get \"Resource interpreted as Image but\n",
       "             * transferred with MIME type text/plain:\" errors on\n",
       "             * Chrome.  But how to set the MIME type?  It doesn't seem\n",
       "             * to be part of the websocket stream */\n",
       "            evt.data.type = \"image/png\";\n",
       "\n",
       "            /* Free the memory for the previous frames */\n",
       "            if (fig.imageObj.src) {\n",
       "                (window.URL || window.webkitURL).revokeObjectURL(\n",
       "                    fig.imageObj.src);\n",
       "            }\n",
       "\n",
       "            fig.imageObj.src = (window.URL || window.webkitURL).createObjectURL(\n",
       "                evt.data);\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        }\n",
       "        else if (typeof evt.data === 'string' && evt.data.slice(0, 21) == \"data:image/png;base64\") {\n",
       "            fig.imageObj.src = evt.data;\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        var msg = JSON.parse(evt.data);\n",
       "        var msg_type = msg['type'];\n",
       "\n",
       "        // Call the  \"handle_{type}\" callback, which takes\n",
       "        // the figure and JSON message as its only arguments.\n",
       "        try {\n",
       "            var callback = fig[\"handle_\" + msg_type];\n",
       "        } catch (e) {\n",
       "            console.log(\"No handler for the '\" + msg_type + \"' message type: \", msg);\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        if (callback) {\n",
       "            try {\n",
       "                // console.log(\"Handling '\" + msg_type + \"' message: \", msg);\n",
       "                callback(fig, msg);\n",
       "            } catch (e) {\n",
       "                console.log(\"Exception inside the 'handler_\" + msg_type + \"' callback:\", e, e.stack, msg);\n",
       "            }\n",
       "        }\n",
       "    };\n",
       "}\n",
       "\n",
       "// from http://stackoverflow.com/questions/1114465/getting-mouse-location-in-canvas\n",
       "mpl.findpos = function(e) {\n",
       "    //this section is from http://www.quirksmode.org/js/events_properties.html\n",
       "    var targ;\n",
       "    if (!e)\n",
       "        e = window.event;\n",
       "    if (e.target)\n",
       "        targ = e.target;\n",
       "    else if (e.srcElement)\n",
       "        targ = e.srcElement;\n",
       "    if (targ.nodeType == 3) // defeat Safari bug\n",
       "        targ = targ.parentNode;\n",
       "\n",
       "    // jQuery normalizes the pageX and pageY\n",
       "    // pageX,Y are the mouse positions relative to the document\n",
       "    // offset() returns the position of the element relative to the document\n",
       "    var x = e.pageX - $(targ).offset().left;\n",
       "    var y = e.pageY - $(targ).offset().top;\n",
       "\n",
       "    return {\"x\": x, \"y\": y};\n",
       "};\n",
       "\n",
       "/*\n",
       " * return a copy of an object with only non-object keys\n",
       " * we need this to avoid circular references\n",
       " * http://stackoverflow.com/a/24161582/3208463\n",
       " */\n",
       "function simpleKeys (original) {\n",
       "  return Object.keys(original).reduce(function (obj, key) {\n",
       "    if (typeof original[key] !== 'object')\n",
       "        obj[key] = original[key]\n",
       "    return obj;\n",
       "  }, {});\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.mouse_event = function(event, name) {\n",
       "    var canvas_pos = mpl.findpos(event)\n",
       "\n",
       "    if (name === 'button_press')\n",
       "    {\n",
       "        this.canvas.focus();\n",
       "        this.canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    var x = canvas_pos.x * mpl.ratio;\n",
       "    var y = canvas_pos.y * mpl.ratio;\n",
       "\n",
       "    this.send_message(name, {x: x, y: y, button: event.button,\n",
       "                             step: event.step,\n",
       "                             guiEvent: simpleKeys(event)});\n",
       "\n",
       "    /* This prevents the web browser from automatically changing to\n",
       "     * the text insertion cursor when the button is pressed.  We want\n",
       "     * to control all of the cursor setting manually through the\n",
       "     * 'cursor' event from matplotlib */\n",
       "    event.preventDefault();\n",
       "    return false;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function(event, name) {\n",
       "    // Handle any extra behaviour associated with a key event\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.key_event = function(event, name) {\n",
       "\n",
       "    // Prevent repeat events\n",
       "    if (name == 'key_press')\n",
       "    {\n",
       "        if (event.which === this._key)\n",
       "            return;\n",
       "        else\n",
       "            this._key = event.which;\n",
       "    }\n",
       "    if (name == 'key_release')\n",
       "        this._key = null;\n",
       "\n",
       "    var value = '';\n",
       "    if (event.ctrlKey && event.which != 17)\n",
       "        value += \"ctrl+\";\n",
       "    if (event.altKey && event.which != 18)\n",
       "        value += \"alt+\";\n",
       "    if (event.shiftKey && event.which != 16)\n",
       "        value += \"shift+\";\n",
       "\n",
       "    value += 'k';\n",
       "    value += event.which.toString();\n",
       "\n",
       "    this._key_event_extra(event, name);\n",
       "\n",
       "    this.send_message(name, {key: value,\n",
       "                             guiEvent: simpleKeys(event)});\n",
       "    return false;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onclick = function(name) {\n",
       "    if (name == 'download') {\n",
       "        this.handle_save(this, null);\n",
       "    } else {\n",
       "        this.send_message(\"toolbar_button\", {name: name});\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onmouseover = function(tooltip) {\n",
       "    this.message.textContent = tooltip;\n",
       "};\n",
       "mpl.toolbar_items = [[\"Home\", \"Reset original view\", \"fa fa-home icon-home\", \"home\"], [\"Back\", \"Back to  previous view\", \"fa fa-arrow-left icon-arrow-left\", \"back\"], [\"Forward\", \"Forward to next view\", \"fa fa-arrow-right icon-arrow-right\", \"forward\"], [\"\", \"\", \"\", \"\"], [\"Pan\", \"Pan axes with left mouse, zoom with right\", \"fa fa-arrows icon-move\", \"pan\"], [\"Zoom\", \"Zoom to rectangle\", \"fa fa-square-o icon-check-empty\", \"zoom\"], [\"\", \"\", \"\", \"\"], [\"Download\", \"Download plot\", \"fa fa-floppy-o icon-save\", \"download\"]];\n",
       "\n",
       "mpl.extensions = [\"eps\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\"];\n",
       "\n",
       "mpl.default_extension = \"png\";var comm_websocket_adapter = function(comm) {\n",
       "    // Create a \"websocket\"-like object which calls the given IPython comm\n",
       "    // object with the appropriate methods. Currently this is a non binary\n",
       "    // socket, so there is still some room for performance tuning.\n",
       "    var ws = {};\n",
       "\n",
       "    ws.close = function() {\n",
       "        comm.close()\n",
       "    };\n",
       "    ws.send = function(m) {\n",
       "        //console.log('sending', m);\n",
       "        comm.send(m);\n",
       "    };\n",
       "    // Register the callback with on_msg.\n",
       "    comm.on_msg(function(msg) {\n",
       "        //console.log('receiving', msg['content']['data'], msg);\n",
       "        // Pass the mpl event to the overriden (by mpl) onmessage function.\n",
       "        ws.onmessage(msg['content']['data'])\n",
       "    });\n",
       "    return ws;\n",
       "}\n",
       "\n",
       "mpl.mpl_figure_comm = function(comm, msg) {\n",
       "    // This is the function which gets called when the mpl process\n",
       "    // starts-up an IPython Comm through the \"matplotlib\" channel.\n",
       "\n",
       "    var id = msg.content.data.id;\n",
       "    // Get hold of the div created by the display call when the Comm\n",
       "    // socket was opened in Python.\n",
       "    var element = $(\"#\" + id);\n",
       "    var ws_proxy = comm_websocket_adapter(comm)\n",
       "\n",
       "    function ondownload(figure, format) {\n",
       "        window.open(figure.imageObj.src);\n",
       "    }\n",
       "\n",
       "    var fig = new mpl.figure(id, ws_proxy,\n",
       "                           ondownload,\n",
       "                           element.get(0));\n",
       "\n",
       "    // Call onopen now - mpl needs it, as it is assuming we've passed it a real\n",
       "    // web socket which is closed, not our websocket->open comm proxy.\n",
       "    ws_proxy.onopen();\n",
       "\n",
       "    fig.parent_element = element.get(0);\n",
       "    fig.cell_info = mpl.find_output_cell(\"<div id='\" + id + \"'></div>\");\n",
       "    if (!fig.cell_info) {\n",
       "        console.error(\"Failed to find cell for figure\", id, fig);\n",
       "        return;\n",
       "    }\n",
       "\n",
       "    var output_index = fig.cell_info[2]\n",
       "    var cell = fig.cell_info[0];\n",
       "\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_close = function(fig, msg) {\n",
       "    var width = fig.canvas.width/mpl.ratio\n",
       "    fig.root.unbind('remove')\n",
       "\n",
       "    // Update the output cell to use the data from the current canvas.\n",
       "    fig.push_to_output();\n",
       "    var dataURL = fig.canvas.toDataURL();\n",
       "    // Re-enable the keyboard manager in IPython - without this line, in FF,\n",
       "    // the notebook keyboard shortcuts fail.\n",
       "    IPython.keyboard_manager.enable()\n",
       "    $(fig.parent_element).html('<img src=\"' + dataURL + '\" width=\"' + width + '\">');\n",
       "    fig.close_ws(fig, msg);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.close_ws = function(fig, msg){\n",
       "    fig.send_message('closing', msg);\n",
       "    // fig.ws.close()\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.push_to_output = function(remove_interactive) {\n",
       "    // Turn the data on the canvas into data in the output cell.\n",
       "    var width = this.canvas.width/mpl.ratio\n",
       "    var dataURL = this.canvas.toDataURL();\n",
       "    this.cell_info[1]['text/html'] = '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function() {\n",
       "    // Tell IPython that the notebook contents must change.\n",
       "    IPython.notebook.set_dirty(true);\n",
       "    this.send_message(\"ack\", {});\n",
       "    var fig = this;\n",
       "    // Wait a second, then push the new image to the DOM so\n",
       "    // that it is saved nicely (might be nice to debounce this).\n",
       "    setTimeout(function () { fig.push_to_output() }, 1000);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function() {\n",
       "    var fig = this;\n",
       "\n",
       "    var nav_element = $('<div/>')\n",
       "    nav_element.attr('style', 'width: 100%');\n",
       "    this.root.append(nav_element);\n",
       "\n",
       "    // Define a callback function for later on.\n",
       "    function toolbar_event(event) {\n",
       "        return fig.toolbar_button_onclick(event['data']);\n",
       "    }\n",
       "    function toolbar_mouse_event(event) {\n",
       "        return fig.toolbar_button_onmouseover(event['data']);\n",
       "    }\n",
       "\n",
       "    for(var toolbar_ind in mpl.toolbar_items){\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) { continue; };\n",
       "\n",
       "        var button = $('<button class=\"btn btn-default\" href=\"#\" title=\"' + name + '\"><i class=\"fa ' + image + ' fa-lg\"></i></button>');\n",
       "        button.click(method_name, toolbar_event);\n",
       "        button.mouseover(tooltip, toolbar_mouse_event);\n",
       "        nav_element.append(button);\n",
       "    }\n",
       "\n",
       "    // Add the status bar.\n",
       "    var status_bar = $('<span class=\"mpl-message\" style=\"text-align:right; float: right;\"/>');\n",
       "    nav_element.append(status_bar);\n",
       "    this.message = status_bar[0];\n",
       "\n",
       "    // Add the close button to the window.\n",
       "    var buttongrp = $('<div class=\"btn-group inline pull-right\"></div>');\n",
       "    var button = $('<button class=\"btn btn-mini btn-primary\" href=\"#\" title=\"Stop Interaction\"><i class=\"fa fa-power-off icon-remove icon-large\"></i></button>');\n",
       "    button.click(function (evt) { fig.handle_close(fig, {}); } );\n",
       "    button.mouseover('Stop Interaction', toolbar_mouse_event);\n",
       "    buttongrp.append(button);\n",
       "    var titlebar = this.root.find($('.ui-dialog-titlebar'));\n",
       "    titlebar.prepend(buttongrp);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function(el){\n",
       "    var fig = this\n",
       "    el.on(\"remove\", function(){\n",
       "\tfig.close_ws(fig, {});\n",
       "    });\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function(el){\n",
       "    // this is important to make the div 'focusable\n",
       "    el.attr('tabindex', 0)\n",
       "    // reach out to IPython and tell the keyboard manager to turn it's self\n",
       "    // off when our div gets focus\n",
       "\n",
       "    // location in version 3\n",
       "    if (IPython.notebook.keyboard_manager) {\n",
       "        IPython.notebook.keyboard_manager.register_events(el);\n",
       "    }\n",
       "    else {\n",
       "        // location in version 2\n",
       "        IPython.keyboard_manager.register_events(el);\n",
       "    }\n",
       "\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function(event, name) {\n",
       "    var manager = IPython.notebook.keyboard_manager;\n",
       "    if (!manager)\n",
       "        manager = IPython.keyboard_manager;\n",
       "\n",
       "    // Check for shift+enter\n",
       "    if (event.shiftKey && event.which == 13) {\n",
       "        this.canvas_div.blur();\n",
       "        // select the cell after this one\n",
       "        var index = IPython.notebook.find_cell_index(this.cell_info[0]);\n",
       "        IPython.notebook.select(index + 1);\n",
       "    }\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_save = function(fig, msg) {\n",
       "    fig.ondownload(fig, null);\n",
       "}\n",
       "\n",
       "\n",
       "mpl.find_output_cell = function(html_output) {\n",
       "    // Return the cell and output element which can be found *uniquely* in the notebook.\n",
       "    // Note - this is a bit hacky, but it is done because the \"notebook_saving.Notebook\"\n",
       "    // IPython event is triggered only after the cells have been serialised, which for\n",
       "    // our purposes (turning an active figure into a static one), is too late.\n",
       "    var cells = IPython.notebook.get_cells();\n",
       "    var ncells = cells.length;\n",
       "    for (var i=0; i<ncells; i++) {\n",
       "        var cell = cells[i];\n",
       "        if (cell.cell_type === 'code'){\n",
       "            for (var j=0; j<cell.output_area.outputs.length; j++) {\n",
       "                var data = cell.output_area.outputs[j];\n",
       "                if (data.data) {\n",
       "                    // IPython >= 3 moved mimebundle to data attribute of output\n",
       "                    data = data.data;\n",
       "                }\n",
       "                if (data['text/html'] == html_output) {\n",
       "                    return [cell, data, j];\n",
       "                }\n",
       "            }\n",
       "        }\n",
       "    }\n",
       "}\n",
       "\n",
       "// Register the function which deals with the matplotlib target/channel.\n",
       "// The kernel may be null if the page has been refreshed.\n",
       "if (IPython.notebook.kernel != null) {\n",
       "    IPython.notebook.kernel.comm_manager.register_target('matplotlib', mpl.mpl_figure_comm);\n",
       "}\n"
      ],
      "text/plain": [
       "<IPython.core.display.Javascript object>"
      ]
     },
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     "output_type": "display_data"
    },
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\" width=\"4000\">"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Plot bias of features\n",
    "order = hier_model_trace_2['beta'][:, 0, :].mean(axis=0).argsort()[::-1]\n",
    "betas_fig = plt.figure(figsize=(40, 5))\n",
    "ax = betas_fig.add_subplot(111)\n",
    "ax.boxplot(hier_model_trace_2['beta'][:, 0, order], 0, '')\n",
    "plt.xticks(range(1, len(data[hier_feature_2].cat.categories)+1), data[hier_feature_2].cat.categories[order])\n",
    "ax.set_xlabel('Features')\n",
    "ax.set_ylabel('Bias')\n",
    "ax.spines['right'].set_visible(False)\n",
    "ax.spines['top'].set_visible(False)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/home/rinu/Documents/aalto/BDA/psis.py:265: RuntimeWarning: overflow encountered in exp\n",
      "  np.exp(temp, out=temp)\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Sum of LOO-LPD: -72020.44581173305\n"
     ]
    }
   ],
   "source": [
    "# Pareto Smoothed Importance Sampling Leave One Out (PSIS-LOO) Cross Validation\n",
    "loo, loos, ks = psisloo(hier_model_trace_2['log_lik'])\n",
    "print(\"Sum of LOO-LPD: {}\".format(loo))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "application/javascript": [
       "/* Put everything inside the global mpl namespace */\n",
       "window.mpl = {};\n",
       "\n",
       "\n",
       "mpl.get_websocket_type = function() {\n",
       "    if (typeof(WebSocket) !== 'undefined') {\n",
       "        return WebSocket;\n",
       "    } else if (typeof(MozWebSocket) !== 'undefined') {\n",
       "        return MozWebSocket;\n",
       "    } else {\n",
       "        alert('Your browser does not have WebSocket support.' +\n",
       "              'Please try Chrome, Safari or Firefox ≥ 6. ' +\n",
       "              'Firefox 4 and 5 are also supported but you ' +\n",
       "              'have to enable WebSockets in about:config.');\n",
       "    };\n",
       "}\n",
       "\n",
       "mpl.figure = function(figure_id, websocket, ondownload, parent_element) {\n",
       "    this.id = figure_id;\n",
       "\n",
       "    this.ws = websocket;\n",
       "\n",
       "    this.supports_binary = (this.ws.binaryType != undefined);\n",
       "\n",
       "    if (!this.supports_binary) {\n",
       "        var warnings = document.getElementById(\"mpl-warnings\");\n",
       "        if (warnings) {\n",
       "            warnings.style.display = 'block';\n",
       "            warnings.textContent = (\n",
       "                \"This browser does not support binary websocket messages. \" +\n",
       "                    \"Performance may be slow.\");\n",
       "        }\n",
       "    }\n",
       "\n",
       "    this.imageObj = new Image();\n",
       "\n",
       "    this.context = undefined;\n",
       "    this.message = undefined;\n",
       "    this.canvas = undefined;\n",
       "    this.rubberband_canvas = undefined;\n",
       "    this.rubberband_context = undefined;\n",
       "    this.format_dropdown = undefined;\n",
       "\n",
       "    this.image_mode = 'full';\n",
       "\n",
       "    this.root = $('<div/>');\n",
       "    this._root_extra_style(this.root)\n",
       "    this.root.attr('style', 'display: inline-block');\n",
       "\n",
       "    $(parent_element).append(this.root);\n",
       "\n",
       "    this._init_header(this);\n",
       "    this._init_canvas(this);\n",
       "    this._init_toolbar(this);\n",
       "\n",
       "    var fig = this;\n",
       "\n",
       "    this.waiting = false;\n",
       "\n",
       "    this.ws.onopen =  function () {\n",
       "            fig.send_message(\"supports_binary\", {value: fig.supports_binary});\n",
       "            fig.send_message(\"send_image_mode\", {});\n",
       "            if (mpl.ratio != 1) {\n",
       "                fig.send_message(\"set_dpi_ratio\", {'dpi_ratio': mpl.ratio});\n",
       "            }\n",
       "            fig.send_message(\"refresh\", {});\n",
       "        }\n",
       "\n",
       "    this.imageObj.onload = function() {\n",
       "            if (fig.image_mode == 'full') {\n",
       "                // Full images could contain transparency (where diff images\n",
       "                // almost always do), so we need to clear the canvas so that\n",
       "                // there is no ghosting.\n",
       "                fig.context.clearRect(0, 0, fig.canvas.width, fig.canvas.height);\n",
       "            }\n",
       "            fig.context.drawImage(fig.imageObj, 0, 0);\n",
       "        };\n",
       "\n",
       "    this.imageObj.onunload = function() {\n",
       "        this.ws.close();\n",
       "    }\n",
       "\n",
       "    this.ws.onmessage = this._make_on_message_function(this);\n",
       "\n",
       "    this.ondownload = ondownload;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_header = function() {\n",
       "    var titlebar = $(\n",
       "        '<div class=\"ui-dialog-titlebar ui-widget-header ui-corner-all ' +\n",
       "        'ui-helper-clearfix\"/>');\n",
       "    var titletext = $(\n",
       "        '<div class=\"ui-dialog-title\" style=\"width: 100%; ' +\n",
       "        'text-align: center; padding: 3px;\"/>');\n",
       "    titlebar.append(titletext)\n",
       "    this.root.append(titlebar);\n",
       "    this.header = titletext[0];\n",
       "}\n",
       "\n",
       "\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function(canvas_div) {\n",
       "\n",
       "}\n",
       "\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function(canvas_div) {\n",
       "\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_canvas = function() {\n",
       "    var fig = this;\n",
       "\n",
       "    var canvas_div = $('<div/>');\n",
       "\n",
       "    canvas_div.attr('style', 'position: relative; clear: both; outline: 0');\n",
       "\n",
       "    function canvas_keyboard_event(event) {\n",
       "        return fig.key_event(event, event['data']);\n",
       "    }\n",
       "\n",
       "    canvas_div.keydown('key_press', canvas_keyboard_event);\n",
       "    canvas_div.keyup('key_release', canvas_keyboard_event);\n",
       "    this.canvas_div = canvas_div\n",
       "    this._canvas_extra_style(canvas_div)\n",
       "    this.root.append(canvas_div);\n",
       "\n",
       "    var canvas = $('<canvas/>');\n",
       "    canvas.addClass('mpl-canvas');\n",
       "    canvas.attr('style', \"left: 0; top: 0; z-index: 0; outline: 0\")\n",
       "\n",
       "    this.canvas = canvas[0];\n",
       "    this.context = canvas[0].getContext(\"2d\");\n",
       "\n",
       "    var backingStore = this.context.backingStorePixelRatio ||\n",
       "\tthis.context.webkitBackingStorePixelRatio ||\n",
       "\tthis.context.mozBackingStorePixelRatio ||\n",
       "\tthis.context.msBackingStorePixelRatio ||\n",
       "\tthis.context.oBackingStorePixelRatio ||\n",
       "\tthis.context.backingStorePixelRatio || 1;\n",
       "\n",
       "    mpl.ratio = (window.devicePixelRatio || 1) / backingStore;\n",
       "\n",
       "    var rubberband = $('<canvas/>');\n",
       "    rubberband.attr('style', \"position: absolute; left: 0; top: 0; z-index: 1;\")\n",
       "\n",
       "    var pass_mouse_events = true;\n",
       "\n",
       "    canvas_div.resizable({\n",
       "        start: function(event, ui) {\n",
       "            pass_mouse_events = false;\n",
       "        },\n",
       "        resize: function(event, ui) {\n",
       "            fig.request_resize(ui.size.width, ui.size.height);\n",
       "        },\n",
       "        stop: function(event, ui) {\n",
       "            pass_mouse_events = true;\n",
       "            fig.request_resize(ui.size.width, ui.size.height);\n",
       "        },\n",
       "    });\n",
       "\n",
       "    function mouse_event_fn(event) {\n",
       "        if (pass_mouse_events)\n",
       "            return fig.mouse_event(event, event['data']);\n",
       "    }\n",
       "\n",
       "    rubberband.mousedown('button_press', mouse_event_fn);\n",
       "    rubberband.mouseup('button_release', mouse_event_fn);\n",
       "    // Throttle sequential mouse events to 1 every 20ms.\n",
       "    rubberband.mousemove('motion_notify', mouse_event_fn);\n",
       "\n",
       "    rubberband.mouseenter('figure_enter', mouse_event_fn);\n",
       "    rubberband.mouseleave('figure_leave', mouse_event_fn);\n",
       "\n",
       "    canvas_div.on(\"wheel\", function (event) {\n",
       "        event = event.originalEvent;\n",
       "        event['data'] = 'scroll'\n",
       "        if (event.deltaY < 0) {\n",
       "            event.step = 1;\n",
       "        } else {\n",
       "            event.step = -1;\n",
       "        }\n",
       "        mouse_event_fn(event);\n",
       "    });\n",
       "\n",
       "    canvas_div.append(canvas);\n",
       "    canvas_div.append(rubberband);\n",
       "\n",
       "    this.rubberband = rubberband;\n",
       "    this.rubberband_canvas = rubberband[0];\n",
       "    this.rubberband_context = rubberband[0].getContext(\"2d\");\n",
       "    this.rubberband_context.strokeStyle = \"#000000\";\n",
       "\n",
       "    this._resize_canvas = function(width, height) {\n",
       "        // Keep the size of the canvas, canvas container, and rubber band\n",
       "        // canvas in synch.\n",
       "        canvas_div.css('width', width)\n",
       "        canvas_div.css('height', height)\n",
       "\n",
       "        canvas.attr('width', width * mpl.ratio);\n",
       "        canvas.attr('height', height * mpl.ratio);\n",
       "        canvas.attr('style', 'width: ' + width + 'px; height: ' + height + 'px;');\n",
       "\n",
       "        rubberband.attr('width', width);\n",
       "        rubberband.attr('height', height);\n",
       "    }\n",
       "\n",
       "    // Set the figure to an initial 600x600px, this will subsequently be updated\n",
       "    // upon first draw.\n",
       "    this._resize_canvas(600, 600);\n",
       "\n",
       "    // Disable right mouse context menu.\n",
       "    $(this.rubberband_canvas).bind(\"contextmenu\",function(e){\n",
       "        return false;\n",
       "    });\n",
       "\n",
       "    function set_focus () {\n",
       "        canvas.focus();\n",
       "        canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    window.setTimeout(set_focus, 100);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function() {\n",
       "    var fig = this;\n",
       "\n",
       "    var nav_element = $('<div/>')\n",
       "    nav_element.attr('style', 'width: 100%');\n",
       "    this.root.append(nav_element);\n",
       "\n",
       "    // Define a callback function for later on.\n",
       "    function toolbar_event(event) {\n",
       "        return fig.toolbar_button_onclick(event['data']);\n",
       "    }\n",
       "    function toolbar_mouse_event(event) {\n",
       "        return fig.toolbar_button_onmouseover(event['data']);\n",
       "    }\n",
       "\n",
       "    for(var toolbar_ind in mpl.toolbar_items) {\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) {\n",
       "            // put a spacer in here.\n",
       "            continue;\n",
       "        }\n",
       "        var button = $('<button/>');\n",
       "        button.addClass('ui-button ui-widget ui-state-default ui-corner-all ' +\n",
       "                        'ui-button-icon-only');\n",
       "        button.attr('role', 'button');\n",
       "        button.attr('aria-disabled', 'false');\n",
       "        button.click(method_name, toolbar_event);\n",
       "        button.mouseover(tooltip, toolbar_mouse_event);\n",
       "\n",
       "        var icon_img = $('<span/>');\n",
       "        icon_img.addClass('ui-button-icon-primary ui-icon');\n",
       "        icon_img.addClass(image);\n",
       "        icon_img.addClass('ui-corner-all');\n",
       "\n",
       "        var tooltip_span = $('<span/>');\n",
       "        tooltip_span.addClass('ui-button-text');\n",
       "        tooltip_span.html(tooltip);\n",
       "\n",
       "        button.append(icon_img);\n",
       "        button.append(tooltip_span);\n",
       "\n",
       "        nav_element.append(button);\n",
       "    }\n",
       "\n",
       "    var fmt_picker_span = $('<span/>');\n",
       "\n",
       "    var fmt_picker = $('<select/>');\n",
       "    fmt_picker.addClass('mpl-toolbar-option ui-widget ui-widget-content');\n",
       "    fmt_picker_span.append(fmt_picker);\n",
       "    nav_element.append(fmt_picker_span);\n",
       "    this.format_dropdown = fmt_picker[0];\n",
       "\n",
       "    for (var ind in mpl.extensions) {\n",
       "        var fmt = mpl.extensions[ind];\n",
       "        var option = $(\n",
       "            '<option/>', {selected: fmt === mpl.default_extension}).html(fmt);\n",
       "        fmt_picker.append(option)\n",
       "    }\n",
       "\n",
       "    // Add hover states to the ui-buttons\n",
       "    $( \".ui-button\" ).hover(\n",
       "        function() { $(this).addClass(\"ui-state-hover\");},\n",
       "        function() { $(this).removeClass(\"ui-state-hover\");}\n",
       "    );\n",
       "\n",
       "    var status_bar = $('<span class=\"mpl-message\"/>');\n",
       "    nav_element.append(status_bar);\n",
       "    this.message = status_bar[0];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.request_resize = function(x_pixels, y_pixels) {\n",
       "    // Request matplotlib to resize the figure. Matplotlib will then trigger a resize in the client,\n",
       "    // which will in turn request a refresh of the image.\n",
       "    this.send_message('resize', {'width': x_pixels, 'height': y_pixels});\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.send_message = function(type, properties) {\n",
       "    properties['type'] = type;\n",
       "    properties['figure_id'] = this.id;\n",
       "    this.ws.send(JSON.stringify(properties));\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.send_draw_message = function() {\n",
       "    if (!this.waiting) {\n",
       "        this.waiting = true;\n",
       "        this.ws.send(JSON.stringify({type: \"draw\", figure_id: this.id}));\n",
       "    }\n",
       "}\n",
       "\n",
       "\n",
       "mpl.figure.prototype.handle_save = function(fig, msg) {\n",
       "    var format_dropdown = fig.format_dropdown;\n",
       "    var format = format_dropdown.options[format_dropdown.selectedIndex].value;\n",
       "    fig.ondownload(fig, format);\n",
       "}\n",
       "\n",
       "\n",
       "mpl.figure.prototype.handle_resize = function(fig, msg) {\n",
       "    var size = msg['size'];\n",
       "    if (size[0] != fig.canvas.width || size[1] != fig.canvas.height) {\n",
       "        fig._resize_canvas(size[0], size[1]);\n",
       "        fig.send_message(\"refresh\", {});\n",
       "    };\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_rubberband = function(fig, msg) {\n",
       "    var x0 = msg['x0'] / mpl.ratio;\n",
       "    var y0 = (fig.canvas.height - msg['y0']) / mpl.ratio;\n",
       "    var x1 = msg['x1'] / mpl.ratio;\n",
       "    var y1 = (fig.canvas.height - msg['y1']) / mpl.ratio;\n",
       "    x0 = Math.floor(x0) + 0.5;\n",
       "    y0 = Math.floor(y0) + 0.5;\n",
       "    x1 = Math.floor(x1) + 0.5;\n",
       "    y1 = Math.floor(y1) + 0.5;\n",
       "    var min_x = Math.min(x0, x1);\n",
       "    var min_y = Math.min(y0, y1);\n",
       "    var width = Math.abs(x1 - x0);\n",
       "    var height = Math.abs(y1 - y0);\n",
       "\n",
       "    fig.rubberband_context.clearRect(\n",
       "        0, 0, fig.canvas.width, fig.canvas.height);\n",
       "\n",
       "    fig.rubberband_context.strokeRect(min_x, min_y, width, height);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_figure_label = function(fig, msg) {\n",
       "    // Updates the figure title.\n",
       "    fig.header.textContent = msg['label'];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_cursor = function(fig, msg) {\n",
       "    var cursor = msg['cursor'];\n",
       "    switch(cursor)\n",
       "    {\n",
       "    case 0:\n",
       "        cursor = 'pointer';\n",
       "        break;\n",
       "    case 1:\n",
       "        cursor = 'default';\n",
       "        break;\n",
       "    case 2:\n",
       "        cursor = 'crosshair';\n",
       "        break;\n",
       "    case 3:\n",
       "        cursor = 'move';\n",
       "        break;\n",
       "    }\n",
       "    fig.rubberband_canvas.style.cursor = cursor;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_message = function(fig, msg) {\n",
       "    fig.message.textContent = msg['message'];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_draw = function(fig, msg) {\n",
       "    // Request the server to send over a new figure.\n",
       "    fig.send_draw_message();\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_image_mode = function(fig, msg) {\n",
       "    fig.image_mode = msg['mode'];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function() {\n",
       "    // Called whenever the canvas gets updated.\n",
       "    this.send_message(\"ack\", {});\n",
       "}\n",
       "\n",
       "// A function to construct a web socket function for onmessage handling.\n",
       "// Called in the figure constructor.\n",
       "mpl.figure.prototype._make_on_message_function = function(fig) {\n",
       "    return function socket_on_message(evt) {\n",
       "        if (evt.data instanceof Blob) {\n",
       "            /* FIXME: We get \"Resource interpreted as Image but\n",
       "             * transferred with MIME type text/plain:\" errors on\n",
       "             * Chrome.  But how to set the MIME type?  It doesn't seem\n",
       "             * to be part of the websocket stream */\n",
       "            evt.data.type = \"image/png\";\n",
       "\n",
       "            /* Free the memory for the previous frames */\n",
       "            if (fig.imageObj.src) {\n",
       "                (window.URL || window.webkitURL).revokeObjectURL(\n",
       "                    fig.imageObj.src);\n",
       "            }\n",
       "\n",
       "            fig.imageObj.src = (window.URL || window.webkitURL).createObjectURL(\n",
       "                evt.data);\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        }\n",
       "        else if (typeof evt.data === 'string' && evt.data.slice(0, 21) == \"data:image/png;base64\") {\n",
       "            fig.imageObj.src = evt.data;\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        var msg = JSON.parse(evt.data);\n",
       "        var msg_type = msg['type'];\n",
       "\n",
       "        // Call the  \"handle_{type}\" callback, which takes\n",
       "        // the figure and JSON message as its only arguments.\n",
       "        try {\n",
       "            var callback = fig[\"handle_\" + msg_type];\n",
       "        } catch (e) {\n",
       "            console.log(\"No handler for the '\" + msg_type + \"' message type: \", msg);\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        if (callback) {\n",
       "            try {\n",
       "                // console.log(\"Handling '\" + msg_type + \"' message: \", msg);\n",
       "                callback(fig, msg);\n",
       "            } catch (e) {\n",
       "                console.log(\"Exception inside the 'handler_\" + msg_type + \"' callback:\", e, e.stack, msg);\n",
       "            }\n",
       "        }\n",
       "    };\n",
       "}\n",
       "\n",
       "// from http://stackoverflow.com/questions/1114465/getting-mouse-location-in-canvas\n",
       "mpl.findpos = function(e) {\n",
       "    //this section is from http://www.quirksmode.org/js/events_properties.html\n",
       "    var targ;\n",
       "    if (!e)\n",
       "        e = window.event;\n",
       "    if (e.target)\n",
       "        targ = e.target;\n",
       "    else if (e.srcElement)\n",
       "        targ = e.srcElement;\n",
       "    if (targ.nodeType == 3) // defeat Safari bug\n",
       "        targ = targ.parentNode;\n",
       "\n",
       "    // jQuery normalizes the pageX and pageY\n",
       "    // pageX,Y are the mouse positions relative to the document\n",
       "    // offset() returns the position of the element relative to the document\n",
       "    var x = e.pageX - $(targ).offset().left;\n",
       "    var y = e.pageY - $(targ).offset().top;\n",
       "\n",
       "    return {\"x\": x, \"y\": y};\n",
       "};\n",
       "\n",
       "/*\n",
       " * return a copy of an object with only non-object keys\n",
       " * we need this to avoid circular references\n",
       " * http://stackoverflow.com/a/24161582/3208463\n",
       " */\n",
       "function simpleKeys (original) {\n",
       "  return Object.keys(original).reduce(function (obj, key) {\n",
       "    if (typeof original[key] !== 'object')\n",
       "        obj[key] = original[key]\n",
       "    return obj;\n",
       "  }, {});\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.mouse_event = function(event, name) {\n",
       "    var canvas_pos = mpl.findpos(event)\n",
       "\n",
       "    if (name === 'button_press')\n",
       "    {\n",
       "        this.canvas.focus();\n",
       "        this.canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    var x = canvas_pos.x * mpl.ratio;\n",
       "    var y = canvas_pos.y * mpl.ratio;\n",
       "\n",
       "    this.send_message(name, {x: x, y: y, button: event.button,\n",
       "                             step: event.step,\n",
       "                             guiEvent: simpleKeys(event)});\n",
       "\n",
       "    /* This prevents the web browser from automatically changing to\n",
       "     * the text insertion cursor when the button is pressed.  We want\n",
       "     * to control all of the cursor setting manually through the\n",
       "     * 'cursor' event from matplotlib */\n",
       "    event.preventDefault();\n",
       "    return false;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function(event, name) {\n",
       "    // Handle any extra behaviour associated with a key event\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.key_event = function(event, name) {\n",
       "\n",
       "    // Prevent repeat events\n",
       "    if (name == 'key_press')\n",
       "    {\n",
       "        if (event.which === this._key)\n",
       "            return;\n",
       "        else\n",
       "            this._key = event.which;\n",
       "    }\n",
       "    if (name == 'key_release')\n",
       "        this._key = null;\n",
       "\n",
       "    var value = '';\n",
       "    if (event.ctrlKey && event.which != 17)\n",
       "        value += \"ctrl+\";\n",
       "    if (event.altKey && event.which != 18)\n",
       "        value += \"alt+\";\n",
       "    if (event.shiftKey && event.which != 16)\n",
       "        value += \"shift+\";\n",
       "\n",
       "    value += 'k';\n",
       "    value += event.which.toString();\n",
       "\n",
       "    this._key_event_extra(event, name);\n",
       "\n",
       "    this.send_message(name, {key: value,\n",
       "                             guiEvent: simpleKeys(event)});\n",
       "    return false;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onclick = function(name) {\n",
       "    if (name == 'download') {\n",
       "        this.handle_save(this, null);\n",
       "    } else {\n",
       "        this.send_message(\"toolbar_button\", {name: name});\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onmouseover = function(tooltip) {\n",
       "    this.message.textContent = tooltip;\n",
       "};\n",
       "mpl.toolbar_items = [[\"Home\", \"Reset original view\", \"fa fa-home icon-home\", \"home\"], [\"Back\", \"Back to  previous view\", \"fa fa-arrow-left icon-arrow-left\", \"back\"], [\"Forward\", \"Forward to next view\", \"fa fa-arrow-right icon-arrow-right\", \"forward\"], [\"\", \"\", \"\", \"\"], [\"Pan\", \"Pan axes with left mouse, zoom with right\", \"fa fa-arrows icon-move\", \"pan\"], [\"Zoom\", \"Zoom to rectangle\", \"fa fa-square-o icon-check-empty\", \"zoom\"], [\"\", \"\", \"\", \"\"], [\"Download\", \"Download plot\", \"fa fa-floppy-o icon-save\", \"download\"]];\n",
       "\n",
       "mpl.extensions = [\"eps\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\"];\n",
       "\n",
       "mpl.default_extension = \"png\";var comm_websocket_adapter = function(comm) {\n",
       "    // Create a \"websocket\"-like object which calls the given IPython comm\n",
       "    // object with the appropriate methods. Currently this is a non binary\n",
       "    // socket, so there is still some room for performance tuning.\n",
       "    var ws = {};\n",
       "\n",
       "    ws.close = function() {\n",
       "        comm.close()\n",
       "    };\n",
       "    ws.send = function(m) {\n",
       "        //console.log('sending', m);\n",
       "        comm.send(m);\n",
       "    };\n",
       "    // Register the callback with on_msg.\n",
       "    comm.on_msg(function(msg) {\n",
       "        //console.log('receiving', msg['content']['data'], msg);\n",
       "        // Pass the mpl event to the overriden (by mpl) onmessage function.\n",
       "        ws.onmessage(msg['content']['data'])\n",
       "    });\n",
       "    return ws;\n",
       "}\n",
       "\n",
       "mpl.mpl_figure_comm = function(comm, msg) {\n",
       "    // This is the function which gets called when the mpl process\n",
       "    // starts-up an IPython Comm through the \"matplotlib\" channel.\n",
       "\n",
       "    var id = msg.content.data.id;\n",
       "    // Get hold of the div created by the display call when the Comm\n",
       "    // socket was opened in Python.\n",
       "    var element = $(\"#\" + id);\n",
       "    var ws_proxy = comm_websocket_adapter(comm)\n",
       "\n",
       "    function ondownload(figure, format) {\n",
       "        window.open(figure.imageObj.src);\n",
       "    }\n",
       "\n",
       "    var fig = new mpl.figure(id, ws_proxy,\n",
       "                           ondownload,\n",
       "                           element.get(0));\n",
       "\n",
       "    // Call onopen now - mpl needs it, as it is assuming we've passed it a real\n",
       "    // web socket which is closed, not our websocket->open comm proxy.\n",
       "    ws_proxy.onopen();\n",
       "\n",
       "    fig.parent_element = element.get(0);\n",
       "    fig.cell_info = mpl.find_output_cell(\"<div id='\" + id + \"'></div>\");\n",
       "    if (!fig.cell_info) {\n",
       "        console.error(\"Failed to find cell for figure\", id, fig);\n",
       "        return;\n",
       "    }\n",
       "\n",
       "    var output_index = fig.cell_info[2]\n",
       "    var cell = fig.cell_info[0];\n",
       "\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_close = function(fig, msg) {\n",
       "    var width = fig.canvas.width/mpl.ratio\n",
       "    fig.root.unbind('remove')\n",
       "\n",
       "    // Update the output cell to use the data from the current canvas.\n",
       "    fig.push_to_output();\n",
       "    var dataURL = fig.canvas.toDataURL();\n",
       "    // Re-enable the keyboard manager in IPython - without this line, in FF,\n",
       "    // the notebook keyboard shortcuts fail.\n",
       "    IPython.keyboard_manager.enable()\n",
       "    $(fig.parent_element).html('<img src=\"' + dataURL + '\" width=\"' + width + '\">');\n",
       "    fig.close_ws(fig, msg);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.close_ws = function(fig, msg){\n",
       "    fig.send_message('closing', msg);\n",
       "    // fig.ws.close()\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.push_to_output = function(remove_interactive) {\n",
       "    // Turn the data on the canvas into data in the output cell.\n",
       "    var width = this.canvas.width/mpl.ratio\n",
       "    var dataURL = this.canvas.toDataURL();\n",
       "    this.cell_info[1]['text/html'] = '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function() {\n",
       "    // Tell IPython that the notebook contents must change.\n",
       "    IPython.notebook.set_dirty(true);\n",
       "    this.send_message(\"ack\", {});\n",
       "    var fig = this;\n",
       "    // Wait a second, then push the new image to the DOM so\n",
       "    // that it is saved nicely (might be nice to debounce this).\n",
       "    setTimeout(function () { fig.push_to_output() }, 1000);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function() {\n",
       "    var fig = this;\n",
       "\n",
       "    var nav_element = $('<div/>')\n",
       "    nav_element.attr('style', 'width: 100%');\n",
       "    this.root.append(nav_element);\n",
       "\n",
       "    // Define a callback function for later on.\n",
       "    function toolbar_event(event) {\n",
       "        return fig.toolbar_button_onclick(event['data']);\n",
       "    }\n",
       "    function toolbar_mouse_event(event) {\n",
       "        return fig.toolbar_button_onmouseover(event['data']);\n",
       "    }\n",
       "\n",
       "    for(var toolbar_ind in mpl.toolbar_items){\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) { continue; };\n",
       "\n",
       "        var button = $('<button class=\"btn btn-default\" href=\"#\" title=\"' + name + '\"><i class=\"fa ' + image + ' fa-lg\"></i></button>');\n",
       "        button.click(method_name, toolbar_event);\n",
       "        button.mouseover(tooltip, toolbar_mouse_event);\n",
       "        nav_element.append(button);\n",
       "    }\n",
       "\n",
       "    // Add the status bar.\n",
       "    var status_bar = $('<span class=\"mpl-message\" style=\"text-align:right; float: right;\"/>');\n",
       "    nav_element.append(status_bar);\n",
       "    this.message = status_bar[0];\n",
       "\n",
       "    // Add the close button to the window.\n",
       "    var buttongrp = $('<div class=\"btn-group inline pull-right\"></div>');\n",
       "    var button = $('<button class=\"btn btn-mini btn-primary\" href=\"#\" title=\"Stop Interaction\"><i class=\"fa fa-power-off icon-remove icon-large\"></i></button>');\n",
       "    button.click(function (evt) { fig.handle_close(fig, {}); } );\n",
       "    button.mouseover('Stop Interaction', toolbar_mouse_event);\n",
       "    buttongrp.append(button);\n",
       "    var titlebar = this.root.find($('.ui-dialog-titlebar'));\n",
       "    titlebar.prepend(buttongrp);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function(el){\n",
       "    var fig = this\n",
       "    el.on(\"remove\", function(){\n",
       "\tfig.close_ws(fig, {});\n",
       "    });\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function(el){\n",
       "    // this is important to make the div 'focusable\n",
       "    el.attr('tabindex', 0)\n",
       "    // reach out to IPython and tell the keyboard manager to turn it's self\n",
       "    // off when our div gets focus\n",
       "\n",
       "    // location in version 3\n",
       "    if (IPython.notebook.keyboard_manager) {\n",
       "        IPython.notebook.keyboard_manager.register_events(el);\n",
       "    }\n",
       "    else {\n",
       "        // location in version 2\n",
       "        IPython.keyboard_manager.register_events(el);\n",
       "    }\n",
       "\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function(event, name) {\n",
       "    var manager = IPython.notebook.keyboard_manager;\n",
       "    if (!manager)\n",
       "        manager = IPython.keyboard_manager;\n",
       "\n",
       "    // Check for shift+enter\n",
       "    if (event.shiftKey && event.which == 13) {\n",
       "        this.canvas_div.blur();\n",
       "        // select the cell after this one\n",
       "        var index = IPython.notebook.find_cell_index(this.cell_info[0]);\n",
       "        IPython.notebook.select(index + 1);\n",
       "    }\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_save = function(fig, msg) {\n",
       "    fig.ondownload(fig, null);\n",
       "}\n",
       "\n",
       "\n",
       "mpl.find_output_cell = function(html_output) {\n",
       "    // Return the cell and output element which can be found *uniquely* in the notebook.\n",
       "    // Note - this is a bit hacky, but it is done because the \"notebook_saving.Notebook\"\n",
       "    // IPython event is triggered only after the cells have been serialised, which for\n",
       "    // our purposes (turning an active figure into a static one), is too late.\n",
       "    var cells = IPython.notebook.get_cells();\n",
       "    var ncells = cells.length;\n",
       "    for (var i=0; i<ncells; i++) {\n",
       "        var cell = cells[i];\n",
       "        if (cell.cell_type === 'code'){\n",
       "            for (var j=0; j<cell.output_area.outputs.length; j++) {\n",
       "                var data = cell.output_area.outputs[j];\n",
       "                if (data.data) {\n",
       "                    // IPython >= 3 moved mimebundle to data attribute of output\n",
       "                    data = data.data;\n",
       "                }\n",
       "                if (data['text/html'] == html_output) {\n",
       "                    return [cell, data, j];\n",
       "                }\n",
       "            }\n",
       "        }\n",
       "    }\n",
       "}\n",
       "\n",
       "// Register the function which deals with the matplotlib target/channel.\n",
       "// The kernel may be null if the page has been refreshed.\n",
       "if (IPython.notebook.kernel != null) {\n",
       "    IPython.notebook.kernel.comm_manager.register_target('matplotlib', mpl.mpl_figure_comm);\n",
       "}\n"
      ],
      "text/plain": [
       "<IPython.core.display.Javascript object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
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\" width=\"800\">"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Plot k-values\n",
    "k_val_fig = plt.figure(figsize=(8, 4))\n",
    "ax = k_val_fig.add_subplot(111)\n",
    "ax.hist(ks)\n",
    "ax.set_title('k-values')\n",
    "ax.spines['right'].set_visible(False)\n",
    "ax.spines['top'].set_visible(False)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "collapsed": true
   },
   "source": [
    "Almost all the k-values are below 0.5. So, the model has converged and the PSIS-LOO estimates are reliable. Since the LOO-LPD value of the hierarchical model based on country is higher than that of the hierarchical model based on language, the hierarchical model based on country is a better fit for the data."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "collapsed": false
   },
   "source": [
    "# Conclusion\n",
    "\n",
    "In this notebook, we used the PyStan library to fit pooled and hierarchical bayesian linear regression models to the IMDB 5000 movie dataset to predict the gross of a movie based on it's other attributes. Using PSIS-LOO cross validation we found that a hierarchical model based on country is the best fit for the data."
   ]
  }
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