2016-11-04-notes.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Nonparametric models\n",
    "* Kernel density estimation\n",
    " * Input data is discrete (e.g. sightings of a particular species in space)\n",
    " * Estimate probability distribution from sample\n",
    " * Can also be used as a generative model (draw samples from approximate probability distribution)\n",
    "* Gaussian processes\n",
    " * Input data is continuous (e.g. rainfall recordings taken at random intervals)\n",
    " * Uses correlations between training data points to predict test data points in interval\n",
    " * Also can be used as a generative model (whole lines can be drawn from a fitted model)\n",
    " * Can be generalised to higher dimensions (Gaussian random field)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "import pandas as pd\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "%matplotlib inline\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "data = pd.read_csv(\"http://projects.fivethirtyeight.com/general-model/president_general_polls_2016.csv\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "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>cycle</th>\n",
       "      <th>branch</th>\n",
       "      <th>type</th>\n",
       "      <th>matchup</th>\n",
       "      <th>forecastdate</th>\n",
       "      <th>state</th>\n",
       "      <th>startdate</th>\n",
       "      <th>enddate</th>\n",
       "      <th>pollster</th>\n",
       "      <th>grade</th>\n",
       "      <th>...</th>\n",
       "      <th>adjpoll_clinton</th>\n",
       "      <th>adjpoll_trump</th>\n",
       "      <th>adjpoll_johnson</th>\n",
       "      <th>adjpoll_mcmullin</th>\n",
       "      <th>multiversions</th>\n",
       "      <th>url</th>\n",
       "      <th>poll_id</th>\n",
       "      <th>question_id</th>\n",
       "      <th>createddate</th>\n",
       "      <th>timestamp</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>2016</td>\n",
       "      <td>President</td>\n",
       "      <td>polls-plus</td>\n",
       "      <td>Clinton vs. Trump vs. Johnson</td>\n",
       "      <td>11/6/16</td>\n",
       "      <td>U.S.</td>\n",
       "      <td>11/1/2016</td>\n",
       "      <td>11/4/2016</td>\n",
       "      <td>ABC News/Washington Post</td>\n",
       "      <td>A+</td>\n",
       "      <td>...</td>\n",
       "      <td>46.10899</td>\n",
       "      <td>41.63457</td>\n",
       "      <td>4.555536</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>http://abcnews.go.com/Politics/qualifications-...</td>\n",
       "      <td>48472</td>\n",
       "      <td>75960</td>\n",
       "      <td>11/6/16</td>\n",
       "      <td>23:31:10  6 Nov 2016</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>2016</td>\n",
       "      <td>President</td>\n",
       "      <td>polls-plus</td>\n",
       "      <td>Clinton vs. Trump vs. Johnson</td>\n",
       "      <td>11/6/16</td>\n",
       "      <td>U.S.</td>\n",
       "      <td>10/31/2016</td>\n",
       "      <td>11/4/2016</td>\n",
       "      <td>Ipsos</td>\n",
       "      <td>A-</td>\n",
       "      <td>...</td>\n",
       "      <td>42.71292</td>\n",
       "      <td>38.80288</td>\n",
       "      <td>6.624687</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>http://www.realclearpolitics.com/docs/2016/201...</td>\n",
       "      <td>48484</td>\n",
       "      <td>75984</td>\n",
       "      <td>11/6/16</td>\n",
       "      <td>23:31:10  6 Nov 2016</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>2016</td>\n",
       "      <td>President</td>\n",
       "      <td>polls-plus</td>\n",
       "      <td>Clinton vs. Trump vs. Johnson</td>\n",
       "      <td>11/6/16</td>\n",
       "      <td>U.S.</td>\n",
       "      <td>11/3/2016</td>\n",
       "      <td>11/5/2016</td>\n",
       "      <td>NBC News/Wall Street Journal</td>\n",
       "      <td>A-</td>\n",
       "      <td>...</td>\n",
       "      <td>43.54423</td>\n",
       "      <td>40.91608</td>\n",
       "      <td>5.148813</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>http://www.nbcnews.com/storyline/2016-election...</td>\n",
       "      <td>48480</td>\n",
       "      <td>75974</td>\n",
       "      <td>11/6/16</td>\n",
       "      <td>23:31:10  6 Nov 2016</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>2016</td>\n",
       "      <td>President</td>\n",
       "      <td>polls-plus</td>\n",
       "      <td>Clinton vs. Trump vs. Johnson</td>\n",
       "      <td>11/6/16</td>\n",
       "      <td>U.S.</td>\n",
       "      <td>11/1/2016</td>\n",
       "      <td>11/3/2016</td>\n",
       "      <td>Fox News/Anderson Robbins Research/Shaw &amp; Comp...</td>\n",
       "      <td>A</td>\n",
       "      <td>...</td>\n",
       "      <td>46.33723</td>\n",
       "      <td>44.03186</td>\n",
       "      <td>4.789080</td>\n",
       "      <td>NaN</td>\n",
       "      <td>*</td>\n",
       "      <td>http://www.foxnews.com/politics/interactive/20...</td>\n",
       "      <td>48361</td>\n",
       "      <td>75811</td>\n",
       "      <td>11/4/16</td>\n",
       "      <td>23:31:10  6 Nov 2016</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>2016</td>\n",
       "      <td>President</td>\n",
       "      <td>polls-plus</td>\n",
       "      <td>Clinton vs. Trump vs. Johnson</td>\n",
       "      <td>11/6/16</td>\n",
       "      <td>Wisconsin</td>\n",
       "      <td>10/26/2016</td>\n",
       "      <td>10/31/2016</td>\n",
       "      <td>Marquette University</td>\n",
       "      <td>A</td>\n",
       "      <td>...</td>\n",
       "      <td>45.46722</td>\n",
       "      <td>40.99278</td>\n",
       "      <td>2.582904</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>https://twitter.com/MULawPoll</td>\n",
       "      <td>48095</td>\n",
       "      <td>75264</td>\n",
       "      <td>11/2/16</td>\n",
       "      <td>23:31:10  6 Nov 2016</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>5 rows × 27 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "   cycle     branch        type                        matchup forecastdate  \\\n",
       "0   2016  President  polls-plus  Clinton vs. Trump vs. Johnson      11/6/16   \n",
       "1   2016  President  polls-plus  Clinton vs. Trump vs. Johnson      11/6/16   \n",
       "2   2016  President  polls-plus  Clinton vs. Trump vs. Johnson      11/6/16   \n",
       "3   2016  President  polls-plus  Clinton vs. Trump vs. Johnson      11/6/16   \n",
       "4   2016  President  polls-plus  Clinton vs. Trump vs. Johnson      11/6/16   \n",
       "\n",
       "       state   startdate     enddate  \\\n",
       "0       U.S.   11/1/2016   11/4/2016   \n",
       "1       U.S.  10/31/2016   11/4/2016   \n",
       "2       U.S.   11/3/2016   11/5/2016   \n",
       "3       U.S.   11/1/2016   11/3/2016   \n",
       "4  Wisconsin  10/26/2016  10/31/2016   \n",
       "\n",
       "                                            pollster grade  \\\n",
       "0                           ABC News/Washington Post    A+   \n",
       "1                                              Ipsos    A-   \n",
       "2                       NBC News/Wall Street Journal    A-   \n",
       "3  Fox News/Anderson Robbins Research/Shaw & Comp...     A   \n",
       "4                               Marquette University     A   \n",
       "\n",
       "           ...           adjpoll_clinton adjpoll_trump  adjpoll_johnson  \\\n",
       "0          ...                  46.10899      41.63457         4.555536   \n",
       "1          ...                  42.71292      38.80288         6.624687   \n",
       "2          ...                  43.54423      40.91608         5.148813   \n",
       "3          ...                  46.33723      44.03186         4.789080   \n",
       "4          ...                  45.46722      40.99278         2.582904   \n",
       "\n",
       "   adjpoll_mcmullin  multiversions  \\\n",
       "0               NaN            NaN   \n",
       "1               NaN            NaN   \n",
       "2               NaN            NaN   \n",
       "3               NaN              *   \n",
       "4               NaN            NaN   \n",
       "\n",
       "                                                 url  poll_id  question_id  \\\n",
       "0  http://abcnews.go.com/Politics/qualifications-...    48472        75960   \n",
       "1  http://www.realclearpolitics.com/docs/2016/201...    48484        75984   \n",
       "2  http://www.nbcnews.com/storyline/2016-election...    48480        75974   \n",
       "3  http://www.foxnews.com/politics/interactive/20...    48361        75811   \n",
       "4                      https://twitter.com/MULawPoll    48095        75264   \n",
       "\n",
       "   createddate             timestamp  \n",
       "0      11/6/16  23:31:10  6 Nov 2016  \n",
       "1      11/6/16  23:31:10  6 Nov 2016  \n",
       "2      11/6/16  23:31:10  6 Nov 2016  \n",
       "3      11/4/16  23:31:10  6 Nov 2016  \n",
       "4      11/2/16  23:31:10  6 Nov 2016  \n",
       "\n",
       "[5 rows x 27 columns]"
      ]
     },
     "execution_count": 40,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 41,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array(['cycle', 'branch', 'type', 'matchup', 'forecastdate', 'state',\n",
       "       'startdate', 'enddate', 'pollster', 'grade', 'samplesize',\n",
       "       'population', 'poll_wt', 'rawpoll_clinton', 'rawpoll_trump',\n",
       "       'rawpoll_johnson', 'rawpoll_mcmullin', 'adjpoll_clinton',\n",
       "       'adjpoll_trump', 'adjpoll_johnson', 'adjpoll_mcmullin',\n",
       "       'multiversions', 'url', 'poll_id', 'question_id', 'createddate',\n",
       "       'timestamp'], dtype=object)"
      ]
     },
     "execution_count": 41,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data.columns.values"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 42,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Ipsos                                                         2670\n",
       "Google Consumer Surveys                                       2073\n",
       "SurveyMonkey                                                  1671\n",
       "USC Dornsife/LA Times                                          357\n",
       "Rasmussen Reports/Pulse Opinion Research                       354\n",
       "CVOTER International                                           342\n",
       "The Times-Picayune/Lucid                                       312\n",
       "Public Policy Polling                                          264\n",
       "YouGov                                                         222\n",
       "Emerson College                                                204\n",
       "Quinnipiac University                                          174\n",
       "Morning Consult                                                171\n",
       "Gravis Marketing                                               171\n",
       "Marist College                                                 141\n",
       "SurveyUSA                                                      117\n",
       "Monmouth University                                            114\n",
       "Remington                                                       99\n",
       "CNN/Opinion Research Corp.                                      84\n",
       "Fox News/Anderson Robbins Research/Shaw & Company Research      81\n",
       "ABC News/Washington Post                                        78\n",
       "IBD/TIPP                                                        75\n",
       "Suffolk University                                              66\n",
       "Greenberg Quinlan Rosner (Democracy Corps)                      57\n",
       "University of New Hampshire                                     48\n",
       "Dan Jones & Associates                                          45\n",
       "Maine People's Resource Center                                  45\n",
       "NBC News/Wall Street Journal                                    45\n",
       "Siena College                                                   42\n",
       "Mason-Dixon Polling & Research, Inc.                            39\n",
       "Mitchell Research & Communications                              39\n",
       "                                                              ... \n",
       "Political Marketing International, Inc./Red Racing Horses        3\n",
       "Basswood Research                                                3\n",
       "University of Akron                                              3\n",
       "Feldman Group                                                    3\n",
       "Cygnal Political                                                 3\n",
       "Middle Tennessee State University                                3\n",
       "Braun Research                                                   3\n",
       "Cole Hargrave Snodgrass & Associates                             3\n",
       "Dartmouth College                                                3\n",
       "Target Insyght                                                   3\n",
       "Expedition Strategies                                            3\n",
       "Centre College                                                   3\n",
       "Hoffman Research Group                                           3\n",
       "National Journal                                                 3\n",
       "Utah Valley University                                           3\n",
       "R.L. Repass & Partners                                           3\n",
       "Behavior Research Center (Rocky Mountain)                        3\n",
       "OnMessage Inc.                                                   3\n",
       "Riley Research Associates                                        3\n",
       "Southern Illinois University                                     3\n",
       "University of Houston                                            3\n",
       "Florida Southern College                                         3\n",
       "Baruch College                                                   3\n",
       "First Tuesday Strategies                                         3\n",
       "University of Wyoming                                            3\n",
       "Meredith College                                                 3\n",
       "BK Strategies                                                    3\n",
       "University of Mary Washington                                    3\n",
       "Merrill Poll                                                     3\n",
       "University of Arkansas                                           3\n",
       "Name: pollster, dtype: int64"
      ]
     },
     "execution_count": 42,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data.pollster.value_counts()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 43,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "president rows 11676 out of total rows 11676\n"
     ]
    }
   ],
   "source": [
    "print('president rows {} out of total rows {}'.format(np.sum(data.branch == 'President'),\n",
    "len(data.index)))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 44,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAZMAAAERCAYAAAC+ZEqyAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nE0lSbSYTSVJtJhNJUm0mE0lSbf8fvQK6L5z5GlQAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x11dc35f10>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.hist(data.samplesize.dropna().values,bins=40);\n",
    "plt.yscale('log');\n",
    "plt.ylabel('frequency'); plt.xlabel('poll sample size');"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Clean data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 45,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "data.forecastdate = pd.to_datetime(data.forecastdate)\n",
    "data.createddate = pd.to_datetime(data.createddate)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 48,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "data['time2election'] = pd.to_datetime(data.createddate) - pd.datetime(2016,11,8)\n",
    "data['time2election'] = data['time2election']/ np.timedelta64(1, 'D')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 49,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "national_data = data[data.state=='U.S.']"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 50,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "3243"
      ]
     },
     "execution_count": 50,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "len(national_data.index)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Remove NAs from poll date or sample size"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 51,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "national_data = national_data[np.isfinite(national_data.samplesize)]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 52,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(3243,)"
      ]
     },
     "execution_count": 52,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "national_data.samplesize.values.shape"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Kernel density estimation of pollster times"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 53,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "from sklearn.neighbors import KernelDensity\n",
    "from scipy.stats import norm"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 54,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAABDYAAAHuCAYAAABkhoypAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x11a076850>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Plot a 1D density example\n",
    "N = 100\n",
    "np.random.seed(1)\n",
    "X = np.atleast_2d(data.time2election).T\n",
    "\n",
    "X_plot = np.atleast_2d(np.linspace(X.min(), 0, 1000)).T\n",
    "plt.figure(figsize=(18,8))\n",
    "\n",
    "\n",
    "\n",
    "kde = KernelDensity(kernel='gaussian', bandwidth=5.0).fit(X)\n",
    "log_dens = kde.score_samples(X_plot)\n",
    "plt.plot(X_plot[:, 0], np.exp(log_dens), '-',\n",
    "        label=\"kde estimate\")\n",
    "\n",
    "\n",
    "plt.legend(loc='upper left')\n",
    "plt.plot(X[:, 0], -0.005 - 0.01 * np.random.random(X.shape[0]), '+k')\n",
    "\n",
    "plt.xlim(X.min(), 0)\n",
    "plt.ylim(-0.015, 0.02)\n",
    "plt.grid()\n",
    "plt.xlabel('time to election (days)')\n",
    "plt.ylabel('density')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Predict popular vote using data from one pollster"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Only look at one pollster to reduce data size"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 55,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "national_data = national_data[national_data.pollster == 'YouGov']"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 56,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "78"
      ]
     },
     "execution_count": 56,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "len(national_data.index)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Gaussian Process Regressor"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 57,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "from sklearn.gaussian_process import GaussianProcessRegressor\n",
    "from sklearn.gaussian_process.kernels import RBF, ConstantKernel as C"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 58,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "mpoll = np.mean(national_data.rawpoll_clinton)\n",
    "sigpoll = 100.\n",
    "p_clinton = np.array(national_data.rawpoll_clinton/sigpoll)\n",
    "X = (np.atleast_2d(national_data.time2election).T).astype(float)\n",
    "y = p_clinton - (mpoll)/sigpoll\n",
    "#dy = 0.1*np.ones(len(y))/sigpoll#one point error\n",
    "dy = p_clinton*(1-p_clinton)/national_data.samplesize.values"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 59,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "#kernel = C(1.0, (1e-3, 1e3)) * RBF(7., (1e-2, 30.))\n",
    "#kernel = 1.0 * RBF(length_scale=7.0, length_scale_bounds=(1e-2, 30.0))\n",
    "kernel = C(1.0, (1e-3, 1e3)) * RBF(10, (1e-2, 1e2))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 60,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "gp = GaussianProcessRegressor(kernel=kernel, alpha=(dy / y) ** 2,\n",
    "                              n_restarts_optimizer=10)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 61,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "GaussianProcessRegressor(alpha=array([  2.91595e-05,   3.03287e-05, ...,   3.15727e-05,   4.14705e-04]),\n",
       "             copy_X_train=True, kernel=1**2 * RBF(length_scale=10),\n",
       "             n_restarts_optimizer=10, normalize_y=False,\n",
       "             optimizer='fmin_l_bfgs_b', random_state=None)"
      ]
     },
     "execution_count": 61,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "gp.fit(X, y)  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 62,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "# Make the prediction on the meshed x-axis (ask for MSE as well)\n",
    "x = np.atleast_2d(np.linspace(-250., 0, 1000)).T\n",
    "y_pred, sigma = gp.predict(x, return_std=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 63,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAYAAAAEPCAYAAABLIROyAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x123997f50>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Plot the function, the prediction and the 95% confidence interval based on\n",
    "# the MSE\n",
    "fig = plt.figure()\n",
    "py = sigpoll*y+mpoll\n",
    "pdy = sigpoll*dy\n",
    "py_pred = sigpoll*y_pred+mpoll\n",
    "psigma = sigpoll*sigma \n",
    "plt.errorbar(X.ravel(), py, pdy, fmt='r.', markersize=10, label=u'Observations')\n",
    "plt.plot(x, py_pred, 'b-', label=u'Prediction')\n",
    "plt.fill(np.concatenate([x, x[::-1]]),\n",
    "         np.concatenate([py_pred - 1.9600 * psigma,\n",
    "                        (py_pred + 1.9600 * psigma)[::-1]]),\n",
    "         alpha=.5, fc='b', ec='None', label='95% confidence interval')\n",
    "plt.xlabel('days until election')\n",
    "plt.ylabel('Clinton (%)')\n",
    "plt.ylim(30., 60.)\n",
    "plt.xlim(-200.,0.)\n",
    "plt.legend(loc='upper left')\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Next Steps\n",
    "* Use more realistic noise model using sample errors\n",
    "* Fit to other polling companies\n",
    "* Predict Trump percentage and use to predict who will win popular vote\n",
    "* Extend model to include biases for polling companies"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 64,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "mpoll = np.mean(national_data.rawpoll_trump)\n",
    "sigpoll = 100.\n",
    "p_trump = np.array(national_data.rawpoll_trump/sigpoll)\n",
    "Ty = p_trump - (mpoll)/sigpoll\n",
    "#dy = 0.1*np.ones(len(y))/sigpoll#one point error\n",
    "Tdy = (p_trump*(1-p_trump)/national_data.samplesize.values)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 65,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "GaussianProcessRegressor(alpha=array([  2.16801e-05,   7.77431e-05, ...,   4.36763e-05,   2.04680e-05]),\n",
       "             copy_X_train=True, kernel=1**2 * RBF(length_scale=10),\n",
       "             n_restarts_optimizer=10, normalize_y=False,\n",
       "             optimizer='fmin_l_bfgs_b', random_state=None)"
      ]
     },
     "execution_count": 65,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "Tgp = GaussianProcessRegressor(kernel=kernel, alpha=(Tdy / Ty) ** 2,\n",
    "                              n_restarts_optimizer=10)\n",
    "Tgp.fit(X, Ty)  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 66,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "#Predict for Trump\n",
    "Ty_pred, Tsigma = Tgp.predict(x, return_std=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 67,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAABB0AAAHuCAYAAADTO3SOAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nQ9qRwfAAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x11dc2d7d0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Plot the function, the prediction and the 95% confidence interval based on\n",
    "# the MSE\n",
    "fig = plt.figure(figsize=(18,8))\n",
    "Tpy = sigpoll*Ty+mpoll\n",
    "Tpdy = sigpoll*Tdy\n",
    "Tpy_pred = sigpoll*Ty_pred+mpoll\n",
    "Tpsigma = sigpoll*Tsigma \n",
    "plt.errorbar(X.ravel(), py, pdy, fmt='r.', markersize=10, label=u'Clinton Observations')\n",
    "plt.plot(x, py_pred, 'b-', label=u'Clinton Prediction')\n",
    "plt.fill(np.concatenate([x, x[::-1]]),\n",
    "         np.concatenate([py_pred - 1.9600 * psigma,\n",
    "                        (py_pred + 1.9600 * psigma)[::-1]]),\n",
    "         alpha=.5, fc='b', ec='None', label=None)\n",
    "plt.errorbar(X.ravel(), Tpy, Tpdy, fmt='k.', markersize=10, label=u'Trump Observations')\n",
    "plt.plot(x, Tpy_pred, 'r-', label=u'Trump Prediction')\n",
    "plt.fill(np.concatenate([x, x[::-1]]),\n",
    "         np.concatenate([Tpy_pred - 1.9600 * Tpsigma,\n",
    "                        (Tpy_pred + 1.9600 * Tpsigma)[::-1]]),\n",
    "         alpha=.5, fc='r', ec='None', label=None)\n",
    "plt.xlabel('days until election')\n",
    "plt.ylabel('Popular Vote (%)')\n",
    "plt.ylim(30., 50.)\n",
    "plt.xlim(-200.,0.)\n",
    "plt.legend(loc='upper left');\n",
    "\n",
    "#plt.savefig('pres_pred.png',bbox_inches='tight')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 2",
   "language": "python",
   "name": "python2"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 2
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython2",
   "version": "2.7.11"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 0
}