GeneralML/RecommendationModel/Recommendation System - Matrix Factoization (Collaboratvie Filtering) in FastAI.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Recommendation System - Matrix Factoization (Collaboratvie Filtering) in FastAI"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Data is [MovieLens](https://grouplens.org/datasets/movielens/) data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 53,
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.decomposition import TruncatedSVD\n",
    "from scipy.sparse.linalg import svds\n",
    "\n",
    "import matplotlib.pyplot as plt\n",
    "import seaborn as sns\n",
    "import pandas as pd\n",
    "import numpy as np\n",
    "import warnings\n",
    "import os\n",
    "\n",
    "from fastai import *\n",
    "from fastai.collab import *\n",
    "from fastai.tabular import *\n",
    "warnings.filterwarnings(\"ignore\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 1. Load Data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [],
   "source": [
    "pth = os.getcwd()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 65,
   "metadata": {},
   "outputs": [],
   "source": [
    "rating_data  = pd.read_csv(os.path.join(pth,'ratings.csv'))\n",
    "movie_data  = pd.read_csv(os.path.join(pth,'movies.csv'))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 66,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
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       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>userId</th>\n",
       "      <th>movieId</th>\n",
       "      <th>rating</th>\n",
       "      <th>timestamp</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>4.0</td>\n",
       "      <td>964982703</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>1</td>\n",
       "      <td>3</td>\n",
       "      <td>4.0</td>\n",
       "      <td>964981247</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>1</td>\n",
       "      <td>6</td>\n",
       "      <td>4.0</td>\n",
       "      <td>964982224</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>1</td>\n",
       "      <td>47</td>\n",
       "      <td>5.0</td>\n",
       "      <td>964983815</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>1</td>\n",
       "      <td>50</td>\n",
       "      <td>5.0</td>\n",
       "      <td>964982931</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "   userId  movieId  rating  timestamp\n",
       "0       1        1     4.0  964982703\n",
       "1       1        3     4.0  964981247\n",
       "2       1        6     4.0  964982224\n",
       "3       1       47     5.0  964983815\n",
       "4       1       50     5.0  964982931"
      ]
     },
     "execution_count": 66,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "rating_data.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 67,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
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       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>movieId</th>\n",
       "      <th>title</th>\n",
       "      <th>genres</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>1</td>\n",
       "      <td>Toy Story (1995)</td>\n",
       "      <td>Adventure|Animation|Children|Comedy|Fantasy</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>2</td>\n",
       "      <td>Jumanji (1995)</td>\n",
       "      <td>Adventure|Children|Fantasy</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>3</td>\n",
       "      <td>Grumpier Old Men (1995)</td>\n",
       "      <td>Comedy|Romance</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>4</td>\n",
       "      <td>Waiting to Exhale (1995)</td>\n",
       "      <td>Comedy|Drama|Romance</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>5</td>\n",
       "      <td>Father of the Bride Part II (1995)</td>\n",
       "      <td>Comedy</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "   movieId                               title  \\\n",
       "0        1                    Toy Story (1995)   \n",
       "1        2                      Jumanji (1995)   \n",
       "2        3             Grumpier Old Men (1995)   \n",
       "3        4            Waiting to Exhale (1995)   \n",
       "4        5  Father of the Bride Part II (1995)   \n",
       "\n",
       "                                        genres  \n",
       "0  Adventure|Animation|Children|Comedy|Fantasy  \n",
       "1                   Adventure|Children|Fantasy  \n",
       "2                               Comedy|Romance  \n",
       "3                         Comedy|Drama|Romance  \n",
       "4                                       Comedy  "
      ]
     },
     "execution_count": 67,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "movie_data.head()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 2. PreProcessing"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 68,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Drop unused column\n",
    "rating_data.drop('timestamp', axis = 1, inplace = True)\n",
    "#movie_data.drop('genres', axis = 1, inplace = True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 69,
   "metadata": {},
   "outputs": [
    {
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       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>userId</th>\n",
       "      <th>rating</th>\n",
       "      <th>title</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>1</td>\n",
       "      <td>4.0</td>\n",
       "      <td>Toy Story (1995)</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>5</td>\n",
       "      <td>4.0</td>\n",
       "      <td>Toy Story (1995)</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>7</td>\n",
       "      <td>4.5</td>\n",
       "      <td>Toy Story (1995)</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>15</td>\n",
       "      <td>2.5</td>\n",
       "      <td>Toy Story (1995)</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>17</td>\n",
       "      <td>4.5</td>\n",
       "      <td>Toy Story (1995)</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "   userId  rating             title\n",
       "0       1     4.0  Toy Story (1995)\n",
       "1       5     4.0  Toy Story (1995)\n",
       "2       7     4.5  Toy Story (1995)\n",
       "3      15     2.5  Toy Story (1995)\n",
       "4      17     4.5  Toy Story (1995)"
      ]
     },
     "execution_count": 69,
     "metadata": {},
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    }
   ],
   "source": [
    "# Merge two DF with movieID\n",
    "user_movie_data = pd.merge(rating_data, movie_data, on = 'movieId')\n",
    "\n",
    "user_movie_data.drop(['movieId','genres'], axis = 1, inplace = True)\n",
    "\n",
    "user_movie_data.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 71,
   "metadata": {},
   "outputs": [],
   "source": [
    "# 1. Create databunch\n",
    "data = CollabDataBunch.from_df(user_movie_data, seed=623, valid_pct=0.2, bs = 64, num_workers = 0, \n",
    "                               user_name = 'userId' , item_name = 'title', rating_name = 'rating')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 72,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th>userId</th>\n",
       "      <th>title</th>\n",
       "      <th>target</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <td>425</td>\n",
       "      <td>Mask, The (1994)</td>\n",
       "      <td>2.5</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <td>376</td>\n",
       "      <td>Sixth Sense, The (1999)</td>\n",
       "      <td>4.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <td>361</td>\n",
       "      <td>Be Cool (2005)</td>\n",
       "      <td>4.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <td>129</td>\n",
       "      <td>Star Wars: Episode III - Revenge of the Sith (2005)</td>\n",
       "      <td>3.5</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <td>596</td>\n",
       "      <td>Amelie (Fabuleux destin d'Amélie Poulain, Le) (2001)</td>\n",
       "      <td>4.0</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>"
      ],
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       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "data.show_batch()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 73,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(0.5, 5.0)"
      ]
     },
     "execution_count": 73,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# y-range was the thing that made the final activation function a sigmoid\n",
    "# Sigmoid has an asymptote at 5, so, it's impossible to predict 5. But In real, many movies has 5 ratings\n",
    "# That's why we give a slightly higher end\n",
    "rating_data.rating.min(), rating_data.rating.max()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 74,
   "metadata": {},
   "outputs": [],
   "source": [
    "y_range = [0,5.5]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 75,
   "metadata": {},
   "outputs": [],
   "source": [
    "# 2. Create Learner\n",
    "# Add Weight Decay as wd (generally, it should be 0.1 (the default is 0.01))\n",
    "learn = collab_learner(data, n_factors=40, y_range=y_range, wd = 0.1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 76,
   "metadata": {},
   "outputs": [
    {
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       "                border: none;\n",
       "                /* Needs to be in here for Safari polyfill so background images work as expected. */\n",
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       "            }\n",
       "            .progress-bar-interrupted, .progress-bar-interrupted::-webkit-progress-bar {\n",
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       "      0.00% [0/1 00:00<00:00]\n",
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       "    \n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: left;\">\n",
       "      <th>epoch</th>\n",
       "      <th>train_loss</th>\n",
       "      <th>valid_loss</th>\n",
       "      <th>time</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "  </tbody>\n",
       "</table><p>\n",
       "\n",
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       "        <style>\n",
       "            /* Turns off some styling */\n",
       "            progress {\n",
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       "                border: none;\n",
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       "      7.54% [95/1260 00:00<00:10 2.1598]\n",
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     "metadata": {},
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "LR Finder is complete, type {learner_name}.recorder.plot() to see the graph.\n"
     ]
    }
   ],
   "source": [
    "learn.lr_find()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 77,
   "metadata": {},
   "outputs": [
    {
     "data": {
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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "learn.recorder.plot(skip_end=15)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 78,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: left;\">\n",
       "      <th>epoch</th>\n",
       "      <th>train_loss</th>\n",
       "      <th>valid_loss</th>\n",
       "      <th>time</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <td>0</td>\n",
       "      <td>0.815257</td>\n",
       "      <td>0.822239</td>\n",
       "      <td>00:12</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <td>1</td>\n",
       "      <td>0.747531</td>\n",
       "      <td>0.753922</td>\n",
       "      <td>00:12</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <td>2</td>\n",
       "      <td>0.602425</td>\n",
       "      <td>0.723193</td>\n",
       "      <td>00:28</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <td>3</td>\n",
       "      <td>0.469220</td>\n",
       "      <td>0.708107</td>\n",
       "      <td>00:34</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <td>4</td>\n",
       "      <td>0.346074</td>\n",
       "      <td>0.709231</td>\n",
       "      <td>00:32</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "learn.fit_one_cycle(5, 5e-3) "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 79,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "learn.recorder.plot_losses()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 81,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "title\n",
      "'71 (2014)                                    1\n",
      "'Hellboy': The Seeds of Creation (2004)       1\n",
      "'Round Midnight (1986)                        2\n",
      "'Salem's Lot (2004)                           1\n",
      "'Til There Was You (1997)                     2\n",
      "                                             ..\n",
      "eXistenZ (1999)                              22\n",
      "xXx (2002)                                   24\n",
      "xXx: State of the Union (2005)                5\n",
      "¡Three Amigos! (1986)                        26\n",
      "À nous la liberté (Freedom for Us) (1931)     1\n",
      "Name: rating, Length: 9719, dtype: int64\n"
     ]
    }
   ],
   "source": [
    "g = user_movie_data.groupby('title')['rating'].count()\n",
    "print(g)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 83,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array(['Forrest Gump (1994)', 'Shawshank Redemption, The (1994)', 'Pulp Fiction (1994)',\n",
       "       'Silence of the Lambs, The (1991)', 'Matrix, The (1999)', 'Star Wars: Episode IV - A New Hope (1977)',\n",
       "       'Jurassic Park (1993)', 'Braveheart (1995)', 'Terminator 2: Judgment Day (1991)', \"Schindler's List (1993)\"],\n",
       "      dtype=object)"
      ]
     },
     "execution_count": 83,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# See Top movies that's rated the most time (not good movies)\n",
    "top_movies = g.sort_values(ascending=False).index.values[:100]\n",
    "top_movies[:10]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Interpreting Movie bias"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 82,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Movie Bias\n",
    "# We take the learner and look at the bias of the items(movies) in the data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 84,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "torch.Size([100])"
      ]
     },
     "execution_count": 84,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "movie_bias = learn.bias(top_movies, is_item=True) # is_item=False would show the user bias\n",
    "movie_bias.shape # it should be 1000, as we try to see the bias for 1000 movies"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 87,
   "metadata": {},
   "outputs": [],
   "source": [
    "mean_ratings = user_movie_data.groupby('title')['rating'].mean()\n",
    "movie_ratings = [(b, i, mean_ratings.loc[i]) for i,b in zip(top_movies,movie_bias)]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 88,
   "metadata": {},
   "outputs": [],
   "source": [
    "item0 = lambda o:o[0]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 89,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[(tensor(-0.0955),\n",
       "  'Dumb & Dumber (Dumb and Dumber) (1994)',\n",
       "  3.0601503759398496),\n",
       " (tensor(-0.0336), 'Net, The (1995)', 3.0401785714285716),\n",
       " (tensor(-0.0280),\n",
       "  'Austin Powers: The Spy Who Shagged Me (1999)',\n",
       "  3.1983471074380163),\n",
       " (tensor(-0.0194), 'Batman Forever (1995)', 2.9160583941605838),\n",
       " (tensor(0.0065), 'Ace Ventura: Pet Detective (1994)', 3.040372670807453),\n",
       " (tensor(0.0107), 'Waterworld (1995)', 2.9130434782608696),\n",
       " (tensor(0.0242), 'True Lies (1994)', 3.497191011235955),\n",
       " (tensor(0.0376), 'Aladdin (1992)', 3.7923497267759565),\n",
       " (tensor(0.0446),\n",
       "  'Star Wars: Episode I - The Phantom Menace (1999)',\n",
       "  3.107142857142857),\n",
       " (tensor(0.0495), 'Home Alone (1990)', 2.9956896551724137),\n",
       " (tensor(0.0551), 'Mask, The (1994)', 3.1847133757961785),\n",
       " (tensor(0.0677), 'Batman (1989)', 3.4285714285714284),\n",
       " (tensor(0.0742), 'Men in Black (a.k.a. MIB) (1997)', 3.487878787878788),\n",
       " (tensor(0.0777), 'Twister (1996)', 3.321138211382114),\n",
       " (tensor(0.0780), 'Aliens (1986)', 3.9642857142857144)]"
      ]
     },
     "execution_count": 89,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# sort by the bias\n",
    "# this givs lowest numbers --> not a great movie\n",
    "lowest_bias= sorted(movie_ratings, key=item0)[:15]\n",
    "lowest_bias"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 90,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[(tensor(0.5151), 'Shawshank Redemption, The (1994)', 4.429022082018927),\n",
       " (tensor(0.5006), 'Forrest Gump (1994)', 4.164133738601824),\n",
       " (tensor(0.3963),\n",
       "  'Raiders of the Lost Ark (Indiana Jones and the Raiders of the Lost Ark) (1981)',\n",
       "  4.2075),\n",
       " (tensor(0.3892),\n",
       "  'Star Wars: Episode IV - A New Hope (1977)',\n",
       "  4.231075697211155),\n",
       " (tensor(0.3383), 'Good Will Hunting (1997)', 4.078014184397163),\n",
       " (tensor(0.3207), 'Fight Club (1999)', 4.272935779816514),\n",
       " (tensor(0.3147),\n",
       "  'Twelve Monkeys (a.k.a. 12 Monkeys) (1995)',\n",
       "  3.983050847457627),\n",
       " (tensor(0.3132), 'Goodfellas (1990)', 4.25),\n",
       " (tensor(0.3100), \"One Flew Over the Cuckoo's Nest (1975)\", 4.203007518796992),\n",
       " (tensor(0.3076), 'Dark Knight, The (2008)', 4.238255033557047),\n",
       " (tensor(0.2979), 'Monsters, Inc. (2001)', 3.871212121212121),\n",
       " (tensor(0.2972), 'Silence of the Lambs, The (1991)', 4.161290322580645),\n",
       " (tensor(0.2944), 'Princess Bride, The (1987)', 4.232394366197183),\n",
       " (tensor(0.2848), \"Schindler's List (1993)\", 4.225),\n",
       " (tensor(0.2845), 'Shrek (2001)', 3.8676470588235294)]"
      ]
     },
     "execution_count": 90,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# This gives the highest numbers --> great movie\n",
    "top_bias = sorted(movie_ratings, key= item0, reverse=True)[:15]\n",
    "top_bias"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Interpreting Movie weights"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 91,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "torch.Size([100, 40])"
      ]
     },
     "execution_count": 91,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "movie_w = learn.weight(top_movies, is_item=True)\n",
    "movie_w.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 92,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "torch.Size([100, 3])"
      ]
     },
     "execution_count": 92,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "movie_pca = movie_w.pca(3) # we want to see the 3 highest PCA\n",
    "movie_pca.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 93,
   "metadata": {},
   "outputs": [],
   "source": [
    "fac0,fac1,fac2 = movie_pca.t()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 94,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Let look at the features in PCA 1\n",
    "movie_comp = [(f, i) for f,i in zip(fac0, top_movies)] "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 95,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[(tensor(0.9110), 'Twister (1996)'),\n",
       " (tensor(0.8243), 'Independence Day (a.k.a. ID4) (1996)'),\n",
       " (tensor(0.7599), 'Batman Forever (1995)'),\n",
       " (tensor(0.6896), 'Ghost (1990)'),\n",
       " (tensor(0.6741), 'Net, The (1995)'),\n",
       " (tensor(0.6435), 'Home Alone (1990)'),\n",
       " (tensor(0.6094), 'Speed (1994)'),\n",
       " (tensor(0.5780), 'Mrs. Doubtfire (1993)'),\n",
       " (tensor(0.5624), 'Pretty Woman (1990)'),\n",
       " (tensor(0.5561), 'Waterworld (1995)')]"
      ]
     },
     "execution_count": 95,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# We are not sure what this means\n",
    "sorted(movie_comp, key=itemgetter(0), reverse=True)[:10]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 96,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Features in PCA 2\n",
    "movie_comp = [(f, i) for f,i in zip(fac1, top_movies)]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 97,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[(tensor(0.9714), 'Ace Ventura: Pet Detective (1994)'),\n",
       " (tensor(0.5980), 'Dumb & Dumber (Dumb and Dumber) (1994)'),\n",
       " (tensor(0.4894), \"Ocean's Eleven (2001)\"),\n",
       " (tensor(0.4712), 'GoldenEye (1995)'),\n",
       " (tensor(0.4561), 'Waterworld (1995)'),\n",
       " (tensor(0.4026), 'Fifth Element, The (1997)'),\n",
       " (tensor(0.3766), 'Eternal Sunshine of the Spotless Mind (2004)'),\n",
       " (tensor(0.3509), 'Stargate (1994)'),\n",
       " (tensor(0.3501), 'Inception (2010)'),\n",
       " (tensor(0.3370), 'Clockwork Orange, A (1971)')]"
      ]
     },
     "execution_count": 97,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "sorted(movie_comp, key=itemgetter(0), reverse=True)[:10]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 98,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1080x1080 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Graph Top 50 most popular movie by rating by the frequnecy\n",
    "idxs = np.random.choice(len(top_movies), 50, replace=False)\n",
    "idxs = list(range(50))\n",
    "X = fac0[idxs]\n",
    "Y = fac2[idxs]\n",
    "plt.figure(figsize=(15,15))\n",
    "plt.scatter(X, Y)\n",
    "for i, x, y in zip(top_movies[idxs], X, Y):\n",
    "    plt.text(x,y,i, color=np.random.rand(3)*0.7, fontsize=11)\n",
    "plt.show()"
   ]
  }
 ],
 "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": "3.8.5"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}