{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "import pickle\n",
    "import pandas as pd\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import matplotlib\n",
    "%matplotlib inline\n",
    "matplotlib.style.use('ggplot')\n",
    "from collections import Counter"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": false,
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
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       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>uid</th>\n",
       "      <th>iid</th>\n",
       "      <th>rui</th>\n",
       "      <th>est</th>\n",
       "      <th>wasImpossible</th>\n",
       "      <th>err</th>\n",
       "      <th>I_u</th>\n",
       "      <th>U_i</th>\n",
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       "      <th>2</th>\n",
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       "      <td>4.0</td>\n",
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       "      <td>{'was_impossible': False}</td>\n",
       "      <td>0.674980</td>\n",
       "      <td>81</td>\n",
       "      <td>128</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "   uid  iid  rui       est              wasImpossible       err  I_u  U_i\n",
       "0   64   26  3.0  3.649495  {'was_impossible': False}  0.649495  233  168\n",
       "1  177  831  3.0  3.175855  {'was_impossible': False}  0.175855  125   99\n",
       "2   76    4  4.0  3.325020  {'was_impossible': False}  0.674980   81  128"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "dump_file = '/home/nico/.pyrec_data/dumps/161017-15h46m41-KNNBasic'  # launch \n",
    "dump = pickle.load(open(dump_file, 'rb'))['fold_0']\n",
    "\n",
    "df = pd.DataFrame(dump['predictions'], columns=['uid', 'iid', 'rui', 'est', 'wasImpossible'])\n",
    "# add the error column\n",
    "df['err'] = abs(df.est - df.rui)\n",
    "# add the |I_u| and |U_i| columns\n",
    "df['I_u'] = df.uid.apply(lambda uid: len(dump['trainset'].ur[uid]))\n",
    "df['U_i'] = df.iid.apply(lambda iid: len(dump['trainset'].ir[iid]))\n",
    "df[:3]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": false,
    "scrolled": false
   },
   "outputs": [
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       "      <td>{'was_impossible': False}</td>\n",
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      ],
      "text/plain": [
       "       uid   iid  rui  est              wasImpossible  err  I_u  U_i\n",
       "7022   744  1420  4.0  4.0  {'was_impossible': False}  0.0   27    3\n",
       "2399    28  1186  1.0  1.0  {'was_impossible': False}  0.0  583    2\n",
       "11879  145  1474  1.0  1.0  {'was_impossible': False}  0.0  140    3\n",
       "16688  505  1474  1.0  1.0  {'was_impossible': False}  0.0  140    3\n",
       "6717    28   889  1.0  1.0  {'was_impossible': False}  0.0  583    2\n",
       "1292   244  1551  3.0  3.0  {'was_impossible': False}  0.0  144    1\n",
       "6046   303  1262  1.0  1.0  {'was_impossible': False}  0.0  532    4\n",
       "12445  411  1618  4.0  4.0  {'was_impossible': False}  0.0   87    1\n",
       "3748   303  1379  1.0  1.0  {'was_impossible': False}  0.0  532    3\n",
       "16882  453  1467  2.0  2.0  {'was_impossible': False}  0.0  179    1"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# let's take a look at predictions where error is very low\n",
    "best_preds = df.sort_values(by='err')[:10]\n",
    "best_preds"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "collapsed": false
   },
   "source": [
    "These are actually lucky shots: $|U_i|$ is always very low, meaning that very few users have rated the target item. This implies that the set of elligible neighbors is very small... And, it just happens that all the ratings from the neighbors are the same (and mostly, are equal to that of the target user). Not convinced ? try that:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "7022     0.0\n",
       "2399     0.0\n",
       "11879    0.0\n",
       "16688    0.0\n",
       "6717     0.0\n",
       "1292     0.0\n",
       "6046     0.0\n",
       "12445    0.0\n",
       "3748     0.0\n",
       "16882    0.0\n",
       "Name: iid, dtype: float64"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "def std_dev(ratings):\n",
    "    \"\"\"Return standard deviation of ratings contained in a list of (id, rating) tuples.\"\"\"\n",
    "    return np.std([r for (_, r) in ratings])\n",
    "    \n",
    "best_preds.iid.apply(lambda x:std_dev(dump['trainset'].ir[x]))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
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       "      <th>uid</th>\n",
       "      <th>iid</th>\n",
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       "      <td>4.609239</td>\n",
       "      <td>{'was_impossible': False}</td>\n",
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       "      <td>{'was_impossible': False}</td>\n",
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       "      <td>71</td>\n",
       "      <td>215</td>\n",
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       "      <td>{'was_impossible': False}</td>\n",
       "      <td>4.000000</td>\n",
       "      <td>286</td>\n",
       "      <td>1</td>\n",
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       "      <td>1526</td>\n",
       "      <td>1.0</td>\n",
       "      <td>5.000000</td>\n",
       "      <td>{'was_impossible': False}</td>\n",
       "      <td>4.000000</td>\n",
       "      <td>68</td>\n",
       "      <td>1</td>\n",
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       "      <th>18434</th>\n",
       "      <td>267</td>\n",
       "      <td>1069</td>\n",
       "      <td>5.0</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>{'was_impossible': False}</td>\n",
       "      <td>4.000000</td>\n",
       "      <td>368</td>\n",
       "      <td>1</td>\n",
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       "  </tbody>\n",
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      ],
      "text/plain": [
       "       uid   iid  rui       est              wasImpossible       err  I_u  U_i\n",
       "10701   24  1339  1.0  4.507309  {'was_impossible': False}  3.507309  244    4\n",
       "4534    28  1177  1.0  4.518146  {'was_impossible': False}  3.518146  583    2\n",
       "17116  386   325  1.0  4.526533  {'was_impossible': False}  3.526533  121  229\n",
       "12016   28  1395  1.0  4.568176  {'was_impossible': False}  3.568176  583    5\n",
       "17502  548   402  1.0  4.599840  {'was_impossible': False}  3.599840  396  215\n",
       "2661   465  1395  1.0  4.609239  {'was_impossible': False}  3.609239   56    5\n",
       "15129  184   402  1.0  4.645398  {'was_impossible': False}  3.645398   71  215\n",
       "6414    62  1621  5.0  1.000000  {'was_impossible': False}  4.000000  286    1\n",
       "2199    17  1526  1.0  5.000000  {'was_impossible': False}  4.000000   68    1\n",
       "18434  267  1069  5.0  1.000000  {'was_impossible': False}  4.000000  368    1"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Now, let's take a look at predictions where error is very high\n",
    "worst_preds = df.sort_values(by='err')[-10:]\n",
    "worst_preds"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
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      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f15dbc69668>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "def plot_ratings(ratings, ax):\n",
    "    counter = Counter([r for (_, r) in ratings])\n",
    "    pd.DataFrame.from_dict(counter, orient='index').plot(kind='bar', ax=ax)\n",
    "\n",
    "fig = plt.figure(figsize=(20, 13))\n",
    "for i, iid in enumerate(worst_preds.uid):\n",
    "    ax = plt.subplot2grid((2,5),(i//5,i%5))\n",
    "    plot_ratings(dump['trainset'].ir[iid], ax)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Conclusion? Well, when $\\hat{r}_{ui} = 1$ and very few users have rated $i$ to $1$, it's difficult for an algorithm to predict it..."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.5.1"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 0
}