P4 - SVD.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "7fd57d13",
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import pandas as pd\n",
    "from sklearn.metrics import mean_squared_error"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "48da7957",
   "metadata": {},
   "outputs": [
    {
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       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>userID</th>\n",
       "      <th>movieID</th>\n",
       "      <th>rating</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
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       "      <th>0</th>\n",
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       "      <td>4</td>\n",
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       "      <td>5839</td>\n",
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       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>5382</td>\n",
       "      <td>150</td>\n",
       "      <td>3</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>1262</td>\n",
       "      <td>1237</td>\n",
       "      <td>5</td>\n",
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       "      <th>4</th>\n",
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      ],
      "text/plain": [
       "   userID  movieID  rating\n",
       "0    4490     2109       4\n",
       "1    5839     3471       4\n",
       "2    5382      150       3\n",
       "3    1262     1237       5\n",
       "4    6005     2273       4"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "raw_data = pd.read_csv(\"train.csv\")\n",
    "raw_data.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "c87b424a",
   "metadata": {
    "scrolled": false
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   "outputs": [
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       "      <th>userID</th>\n",
       "      <th>1</th>\n",
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       "      <th>movieID</th>\n",
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       "      <td>NaN</td>\n",
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       "      <td>NaN</td>\n",
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      ],
      "text/plain": [
       "userID   1     2     3     4     5     6     7     8     9     10    ...   \n",
       "movieID                                                              ...   \n",
       "1         3.0   NaN   NaN   NaN   NaN   4.0   NaN   NaN   4.0   NaN  ...  \\\n",
       "2         NaN   NaN   NaN   NaN   NaN   NaN   NaN   NaN   NaN   NaN  ...   \n",
       "3         NaN   NaN   NaN   NaN   NaN   1.0   NaN   NaN   NaN   NaN  ...   \n",
       "4         NaN   NaN   NaN   NaN   NaN   2.0   NaN   NaN   NaN   NaN  ...   \n",
       "5         NaN   NaN   NaN   NaN   NaN   1.0   NaN   NaN   NaN   NaN  ...   \n",
       "\n",
       "userID   6031  6032  6033  6034  6035  6036  6037  6038  6039  6040  \n",
       "movieID                                                              \n",
       "1         5.0   5.0   4.0   NaN   4.0   NaN   NaN   NaN   NaN   5.0  \n",
       "2         5.0   NaN   NaN   NaN   NaN   NaN   NaN   NaN   NaN   NaN  \n",
       "3         NaN   NaN   NaN   NaN   NaN   NaN   NaN   NaN   NaN   NaN  \n",
       "4         NaN   NaN   3.0   NaN   NaN   NaN   NaN   NaN   NaN   NaN  \n",
       "5         NaN   NaN   NaN   NaN   NaN   NaN   NaN   NaN   NaN   NaN  \n",
       "\n",
       "[5 rows x 6040 columns]"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "pivot_ii= raw_data.pivot(index=\"movieID\", columns= \"userID\", values=\"rating\")\n",
    "pivot_ii.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "0a0222aa",
   "metadata": {},
   "outputs": [],
   "source": [
    "all_mean = pivot_ii.mean().mean()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "e5cac9d0",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(3705, 6040)"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "pivot_ii.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "b1299dbd",
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
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       "      <td>1.800000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
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       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>-2.021142</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
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       "      <td>0.000000</td>\n",
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       "      <td>0.0</td>\n",
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       "      <td>0.0</td>\n",
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       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>-0.733728</td>\n",
       "      <td>0.0</td>\n",
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       "      <td>0.000000</td>\n",
       "      <td>0.266272</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
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       "      <td>0.0</td>\n",
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       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
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      ],
      "text/plain": [
       "userID       1     2     3     4     5         6     7     8         9      \n",
       "movieID                                                                     \n",
       "1       -1.145287   0.0   0.0   0.0   0.0 -0.145287   0.0   0.0 -0.145287  \\\n",
       "2        0.000000   0.0   0.0   0.0   0.0  0.000000   0.0   0.0  0.000000   \n",
       "3        0.000000   0.0   0.0   0.0   0.0 -2.021142   0.0   0.0  0.000000   \n",
       "4        0.000000   0.0   0.0   0.0   0.0 -0.733728   0.0   0.0  0.000000   \n",
       "5        0.000000   0.0   0.0   0.0   0.0 -2.017007   0.0   0.0  0.000000   \n",
       "\n",
       "userID   10    ...      6031      6032      6033  6034      6035  6036  6037   \n",
       "movieID        ...                                                             \n",
       "1         0.0  ...  0.854713  0.854713 -0.145287   0.0 -0.145287   0.0   0.0  \\\n",
       "2         0.0  ...  1.800000  0.000000  0.000000   0.0  0.000000   0.0   0.0   \n",
       "3         0.0  ...  0.000000  0.000000  0.000000   0.0  0.000000   0.0   0.0   \n",
       "4         0.0  ...  0.000000  0.000000  0.266272   0.0  0.000000   0.0   0.0   \n",
       "5         0.0  ...  0.000000  0.000000  0.000000   0.0  0.000000   0.0   0.0   \n",
       "\n",
       "userID   6038  6039      6040  \n",
       "movieID                        \n",
       "1         0.0   0.0  0.854713  \n",
       "2         0.0   0.0  0.000000  \n",
       "3         0.0   0.0  0.000000  \n",
       "4         0.0   0.0  0.000000  \n",
       "5         0.0   0.0  0.000000  \n",
       "\n",
       "[5 rows x 6040 columns]"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "scaled_df = pivot_ii - pivot_ii.mean(axis=1).values.reshape(-1, 1)\n",
    "scaled_df.fillna(0, inplace=True)\n",
    "scaled_df.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "id": "1676617f",
   "metadata": {},
   "outputs": [],
   "source": [
    "test = scaled_df[:500]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "id": "79042e7b",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "U shape: (500, 500)\n",
      "S shape: (500,)\n",
      "VT shape: (6040, 6040)\n"
     ]
    }
   ],
   "source": [
    "U, S, VT = np.linalg.svd(test, full_matrices=True)\n",
    "print(\"U shape:\", U.shape) # movies to concepts matrix\n",
    "print(\"S shape:\", S.shape) # strength vector\n",
    "print(\"VT shape:\", VT.shape) # concepts to users matrix"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "id": "def6b4a2",
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
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      "487 0.9999944752505363\n",
      "488 0.9999975629351399\n",
      "489 1.0\n",
      "490 1.0\n",
      "491 1.0\n",
      "492 1.0\n",
      "493 1.0\n",
      "494 1.0\n",
      "495 1.0\n",
      "496 1.0\n",
      "497 1.0\n",
      "498 1.0\n",
      "499 1.0\n"
     ]
    }
   ],
   "source": [
    "S_square = S * S\n",
    "S_square_sum = S_square.sum()\n",
    "for i in range(1, len(S)):\n",
    "    res = S_square[:i].sum()/S_square_sum\n",
    "    if res > 0.90:\n",
    "        print(i, res)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "id": "431a5787",
   "metadata": {},
   "outputs": [],
   "source": [
    "k = 220\n",
    "U = U[:, :k]\n",
    "S = S[:k]\n",
    "VT = VT[:k, :]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "id": "cc90943e",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "U shape: (500, 220)\n",
      "S shape: (220,)\n",
      "VT shape: (220, 6040)\n"
     ]
    }
   ],
   "source": [
    "print(\"U shape:\", U.shape) # movies to concepts matrix\n",
    "print(\"S shape:\", S.shape) # strength vector\n",
    "print(\"VT shape:\", VT.shape) # concepts to users matrix"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "id": "0dee5a65",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[-1.14746109e+00,  1.08176288e-03, -2.17504464e-05, ...,\n",
       "        -1.45791764e-06,  5.44433642e-03,  8.51034496e-01],\n",
       "       [ 9.20042935e-03,  8.18483078e-03, -5.90306647e-05, ...,\n",
       "         1.08580695e-03,  1.32155848e-02, -2.54280496e-03],\n",
       "       [-1.23091231e-03,  7.75112212e-03, -1.59551784e-04, ...,\n",
       "         1.36328265e-04, -1.96375368e-03, -5.76041950e-03],\n",
       "       ...,\n",
       "       [ 9.07043213e-02,  4.66885120e-04,  1.07385136e-03, ...,\n",
       "         1.57091108e-02, -1.70998037e-02, -8.46646382e-04],\n",
       "       [-1.77946909e-02,  2.54037108e-02,  1.50548509e-03, ...,\n",
       "         1.87412816e-03, -1.99023536e-02, -2.41248303e-02],\n",
       "       [-9.77923105e-03, -1.62201622e-02, -5.04434263e-04, ...,\n",
       "        -2.47618778e-03, -1.03391075e-02,  1.52016648e-02]])"
      ]
     },
     "execution_count": 28,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "U.dot(np.diag(S).dot(VT))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "id": "58678bbd",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "500"
      ]
     },
     "execution_count": 29,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "len(U.dot(np.diag(S).dot(VT)))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "id": "d90d0ef4",
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
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       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th>userID</th>\n",
       "      <th>1</th>\n",
       "      <th>2</th>\n",
       "      <th>3</th>\n",
       "      <th>4</th>\n",
       "      <th>5</th>\n",
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       "      <th>6038</th>\n",
       "      <th>6039</th>\n",
       "      <th>6040</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>movieID</th>\n",
       "      <th></th>\n",
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       "      <th>1</th>\n",
       "      <td>-1.147461</td>\n",
       "      <td>0.001082</td>\n",
       "      <td>-0.000022</td>\n",
       "      <td>-0.005649</td>\n",
       "      <td>-0.015438</td>\n",
       "      <td>-0.136678</td>\n",
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       "      <td>-0.143243</td>\n",
       "      <td>-0.013513</td>\n",
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       "      <td>0.847955</td>\n",
       "      <td>-0.149367</td>\n",
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       "      <td>-0.139241</td>\n",
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       "      <td>0.005444</td>\n",
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       "      <td>0.009200</td>\n",
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       "      <td>0.009318</td>\n",
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       "      <td>-0.021433</td>\n",
       "      <td>...</td>\n",
       "      <td>1.789565</td>\n",
       "      <td>-0.000607</td>\n",
       "      <td>-0.010304</td>\n",
       "      <td>0.004894</td>\n",
       "      <td>0.022706</td>\n",
       "      <td>-0.004189</td>\n",
       "      <td>0.000167</td>\n",
       "      <td>0.001086</td>\n",
       "      <td>0.013216</td>\n",
       "      <td>-0.002543</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>-0.001231</td>\n",
       "      <td>0.007751</td>\n",
       "      <td>-0.000160</td>\n",
       "      <td>-0.001386</td>\n",
       "      <td>-0.021362</td>\n",
       "      <td>-2.101973</td>\n",
       "      <td>-0.000587</td>\n",
       "      <td>-0.007017</td>\n",
       "      <td>0.000258</td>\n",
       "      <td>0.004042</td>\n",
       "      <td>...</td>\n",
       "      <td>0.024169</td>\n",
       "      <td>-0.001655</td>\n",
       "      <td>0.047594</td>\n",
       "      <td>-0.007052</td>\n",
       "      <td>0.000511</td>\n",
       "      <td>0.032105</td>\n",
       "      <td>-0.000179</td>\n",
       "      <td>0.000136</td>\n",
       "      <td>-0.001964</td>\n",
       "      <td>-0.005760</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>0.004275</td>\n",
       "      <td>0.007276</td>\n",
       "      <td>-0.000294</td>\n",
       "      <td>-0.016289</td>\n",
       "      <td>-0.105477</td>\n",
       "      <td>-0.652583</td>\n",
       "      <td>0.003159</td>\n",
       "      <td>-0.002565</td>\n",
       "      <td>0.000085</td>\n",
       "      <td>0.030919</td>\n",
       "      <td>...</td>\n",
       "      <td>-0.143286</td>\n",
       "      <td>0.048478</td>\n",
       "      <td>0.185029</td>\n",
       "      <td>0.017944</td>\n",
       "      <td>-0.035467</td>\n",
       "      <td>-0.037549</td>\n",
       "      <td>-0.000141</td>\n",
       "      <td>-0.007160</td>\n",
       "      <td>-0.010493</td>\n",
       "      <td>0.010609</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>0.082144</td>\n",
       "      <td>-0.025533</td>\n",
       "      <td>-0.001203</td>\n",
       "      <td>0.032689</td>\n",
       "      <td>0.103802</td>\n",
       "      <td>-2.059197</td>\n",
       "      <td>-0.000483</td>\n",
       "      <td>0.004624</td>\n",
       "      <td>-0.004061</td>\n",
       "      <td>-0.056690</td>\n",
       "      <td>...</td>\n",
       "      <td>-0.061860</td>\n",
       "      <td>0.024494</td>\n",
       "      <td>0.089906</td>\n",
       "      <td>0.001002</td>\n",
       "      <td>0.013165</td>\n",
       "      <td>0.066408</td>\n",
       "      <td>-0.000276</td>\n",
       "      <td>0.000370</td>\n",
       "      <td>0.005479</td>\n",
       "      <td>0.005138</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>509</th>\n",
       "      <td>0.002847</td>\n",
       "      <td>0.012034</td>\n",
       "      <td>-0.000073</td>\n",
       "      <td>0.001155</td>\n",
       "      <td>-1.660069</td>\n",
       "      <td>1.369435</td>\n",
       "      <td>0.002424</td>\n",
       "      <td>-0.001646</td>\n",
       "      <td>0.000699</td>\n",
       "      <td>-0.002636</td>\n",
       "      <td>...</td>\n",
       "      <td>0.007351</td>\n",
       "      <td>-0.004968</td>\n",
       "      <td>-0.003969</td>\n",
       "      <td>-0.004054</td>\n",
       "      <td>0.009584</td>\n",
       "      <td>0.301210</td>\n",
       "      <td>0.000161</td>\n",
       "      <td>0.000687</td>\n",
       "      <td>0.002927</td>\n",
       "      <td>-0.003789</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>510</th>\n",
       "      <td>-0.099886</td>\n",
       "      <td>0.017155</td>\n",
       "      <td>-0.000477</td>\n",
       "      <td>-0.008021</td>\n",
       "      <td>-0.014572</td>\n",
       "      <td>-0.040080</td>\n",
       "      <td>0.002314</td>\n",
       "      <td>0.006061</td>\n",
       "      <td>-0.021143</td>\n",
       "      <td>0.031803</td>\n",
       "      <td>...</td>\n",
       "      <td>0.027474</td>\n",
       "      <td>0.000277</td>\n",
       "      <td>0.054970</td>\n",
       "      <td>-0.013045</td>\n",
       "      <td>0.007254</td>\n",
       "      <td>0.020149</td>\n",
       "      <td>-0.000944</td>\n",
       "      <td>-0.004532</td>\n",
       "      <td>0.001371</td>\n",
       "      <td>-0.009947</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>511</th>\n",
       "      <td>0.090704</td>\n",
       "      <td>0.000467</td>\n",
       "      <td>0.001074</td>\n",
       "      <td>-0.001363</td>\n",
       "      <td>0.113557</td>\n",
       "      <td>-0.126850</td>\n",
       "      <td>0.007131</td>\n",
       "      <td>0.021752</td>\n",
       "      <td>-0.003925</td>\n",
       "      <td>-0.073603</td>\n",
       "      <td>...</td>\n",
       "      <td>-0.011418</td>\n",
       "      <td>0.114422</td>\n",
       "      <td>0.044823</td>\n",
       "      <td>0.011273</td>\n",
       "      <td>-0.013190</td>\n",
       "      <td>-0.018013</td>\n",
       "      <td>0.001790</td>\n",
       "      <td>0.015709</td>\n",
       "      <td>-0.017100</td>\n",
       "      <td>-0.000847</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>512</th>\n",
       "      <td>-0.017795</td>\n",
       "      <td>0.025404</td>\n",
       "      <td>0.001505</td>\n",
       "      <td>0.019230</td>\n",
       "      <td>0.041577</td>\n",
       "      <td>-1.961157</td>\n",
       "      <td>0.002286</td>\n",
       "      <td>0.009031</td>\n",
       "      <td>-0.005401</td>\n",
       "      <td>0.002274</td>\n",
       "      <td>...</td>\n",
       "      <td>0.028012</td>\n",
       "      <td>0.029690</td>\n",
       "      <td>0.013600</td>\n",
       "      <td>0.016452</td>\n",
       "      <td>0.031337</td>\n",
       "      <td>0.025440</td>\n",
       "      <td>0.000697</td>\n",
       "      <td>0.001874</td>\n",
       "      <td>-0.019902</td>\n",
       "      <td>-0.024125</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>513</th>\n",
       "      <td>-0.009779</td>\n",
       "      <td>-0.016220</td>\n",
       "      <td>-0.000504</td>\n",
       "      <td>0.000488</td>\n",
       "      <td>-0.113159</td>\n",
       "      <td>-0.196016</td>\n",
       "      <td>-0.000620</td>\n",
       "      <td>-0.006878</td>\n",
       "      <td>-0.001641</td>\n",
       "      <td>0.015162</td>\n",
       "      <td>...</td>\n",
       "      <td>-0.065967</td>\n",
       "      <td>-0.009458</td>\n",
       "      <td>0.002407</td>\n",
       "      <td>-0.009524</td>\n",
       "      <td>0.046776</td>\n",
       "      <td>0.074991</td>\n",
       "      <td>-0.003453</td>\n",
       "      <td>-0.002476</td>\n",
       "      <td>-0.010339</td>\n",
       "      <td>0.015202</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>500 rows × 6040 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "userID       1         2         3         4         5         6         7      \n",
       "movieID                                                                         \n",
       "1       -1.147461  0.001082 -0.000022 -0.005649 -0.015438 -0.136678 -0.003308  \\\n",
       "2        0.009200  0.008185 -0.000059  0.009318 -0.019143 -0.035488 -0.000272   \n",
       "3       -0.001231  0.007751 -0.000160 -0.001386 -0.021362 -2.101973 -0.000587   \n",
       "4        0.004275  0.007276 -0.000294 -0.016289 -0.105477 -0.652583  0.003159   \n",
       "5        0.082144 -0.025533 -0.001203  0.032689  0.103802 -2.059197 -0.000483   \n",
       "...           ...       ...       ...       ...       ...       ...       ...   \n",
       "509      0.002847  0.012034 -0.000073  0.001155 -1.660069  1.369435  0.002424   \n",
       "510     -0.099886  0.017155 -0.000477 -0.008021 -0.014572 -0.040080  0.002314   \n",
       "511      0.090704  0.000467  0.001074 -0.001363  0.113557 -0.126850  0.007131   \n",
       "512     -0.017795  0.025404  0.001505  0.019230  0.041577 -1.961157  0.002286   \n",
       "513     -0.009779 -0.016220 -0.000504  0.000488 -0.113159 -0.196016 -0.000620   \n",
       "\n",
       "userID       8         9         10    ...      6031      6032      6033   \n",
       "movieID                                ...                                 \n",
       "1        0.000709 -0.143243 -0.013513  ...  0.813500  0.847955 -0.149367  \\\n",
       "2        0.003026 -0.000277 -0.021433  ...  1.789565 -0.000607 -0.010304   \n",
       "3       -0.007017  0.000258  0.004042  ...  0.024169 -0.001655  0.047594   \n",
       "4       -0.002565  0.000085  0.030919  ... -0.143286  0.048478  0.185029   \n",
       "5        0.004624 -0.004061 -0.056690  ... -0.061860  0.024494  0.089906   \n",
       "...           ...       ...       ...  ...       ...       ...       ...   \n",
       "509     -0.001646  0.000699 -0.002636  ...  0.007351 -0.004968 -0.003969   \n",
       "510      0.006061 -0.021143  0.031803  ...  0.027474  0.000277  0.054970   \n",
       "511      0.021752 -0.003925 -0.073603  ... -0.011418  0.114422  0.044823   \n",
       "512      0.009031 -0.005401  0.002274  ...  0.028012  0.029690  0.013600   \n",
       "513     -0.006878 -0.001641  0.015162  ... -0.065967 -0.009458  0.002407   \n",
       "\n",
       "userID       6034      6035      6036      6037      6038      6039      6040  \n",
       "movieID                                                                        \n",
       "1        0.000431 -0.139241  0.001149  0.000149 -0.000001  0.005444  0.851034  \n",
       "2        0.004894  0.022706 -0.004189  0.000167  0.001086  0.013216 -0.002543  \n",
       "3       -0.007052  0.000511  0.032105 -0.000179  0.000136 -0.001964 -0.005760  \n",
       "4        0.017944 -0.035467 -0.037549 -0.000141 -0.007160 -0.010493  0.010609  \n",
       "5        0.001002  0.013165  0.066408 -0.000276  0.000370  0.005479  0.005138  \n",
       "...           ...       ...       ...       ...       ...       ...       ...  \n",
       "509     -0.004054  0.009584  0.301210  0.000161  0.000687  0.002927 -0.003789  \n",
       "510     -0.013045  0.007254  0.020149 -0.000944 -0.004532  0.001371 -0.009947  \n",
       "511      0.011273 -0.013190 -0.018013  0.001790  0.015709 -0.017100 -0.000847  \n",
       "512      0.016452  0.031337  0.025440  0.000697  0.001874 -0.019902 -0.024125  \n",
       "513     -0.009524  0.046776  0.074991 -0.003453 -0.002476 -0.010339  0.015202  \n",
       "\n",
       "[500 rows x 6040 columns]"
      ]
     },
     "execution_count": 30,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "results = U.dot(np.diag(S).dot(VT))\n",
    "results = pd.DataFrame(results,columns=test.columns,index = test.index)\n",
    "results"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "id": "2833b07d",
   "metadata": {},
   "outputs": [],
   "source": [
    "test_raw = pivot_ii[:500]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "id": "a29c3a98",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th>userID</th>\n",
       "      <th>1</th>\n",
       "      <th>2</th>\n",
       "      <th>3</th>\n",
       "      <th>4</th>\n",
       "      <th>5</th>\n",
       "      <th>6</th>\n",
       "      <th>7</th>\n",
       "      <th>8</th>\n",
       "      <th>9</th>\n",
       "      <th>10</th>\n",
       "      <th>...</th>\n",
       "      <th>6031</th>\n",
       "      <th>6032</th>\n",
       "      <th>6033</th>\n",
       "      <th>6034</th>\n",
       "      <th>6035</th>\n",
       "      <th>6036</th>\n",
       "      <th>6037</th>\n",
       "      <th>6038</th>\n",
       "      <th>6039</th>\n",
       "      <th>6040</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>movieID</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>2.997826</td>\n",
       "      <td>4.146368</td>\n",
       "      <td>4.145265</td>\n",
       "      <td>4.139638</td>\n",
       "      <td>4.129848</td>\n",
       "      <td>4.008609</td>\n",
       "      <td>4.141978</td>\n",
       "      <td>4.145996</td>\n",
       "      <td>4.002044</td>\n",
       "      <td>4.131774</td>\n",
       "      <td>...</td>\n",
       "      <td>4.958787</td>\n",
       "      <td>4.993242</td>\n",
       "      <td>3.995920</td>\n",
       "      <td>4.145718</td>\n",
       "      <td>4.006045</td>\n",
       "      <td>4.146436</td>\n",
       "      <td>4.145435</td>\n",
       "      <td>4.145285</td>\n",
       "      <td>4.150731</td>\n",
       "      <td>4.996321</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>3.209200</td>\n",
       "      <td>3.208185</td>\n",
       "      <td>3.199941</td>\n",
       "      <td>3.209318</td>\n",
       "      <td>3.180857</td>\n",
       "      <td>3.164512</td>\n",
       "      <td>3.199728</td>\n",
       "      <td>3.203026</td>\n",
       "      <td>3.199723</td>\n",
       "      <td>3.178567</td>\n",
       "      <td>...</td>\n",
       "      <td>4.989565</td>\n",
       "      <td>3.199393</td>\n",
       "      <td>3.189696</td>\n",
       "      <td>3.204894</td>\n",
       "      <td>3.222706</td>\n",
       "      <td>3.195811</td>\n",
       "      <td>3.200167</td>\n",
       "      <td>3.201086</td>\n",
       "      <td>3.213216</td>\n",
       "      <td>3.197457</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>3.019911</td>\n",
       "      <td>3.028893</td>\n",
       "      <td>3.020982</td>\n",
       "      <td>3.019756</td>\n",
       "      <td>2.999780</td>\n",
       "      <td>0.919168</td>\n",
       "      <td>3.020555</td>\n",
       "      <td>3.014124</td>\n",
       "      <td>3.021400</td>\n",
       "      <td>3.025184</td>\n",
       "      <td>...</td>\n",
       "      <td>3.045311</td>\n",
       "      <td>3.019486</td>\n",
       "      <td>3.068736</td>\n",
       "      <td>3.014090</td>\n",
       "      <td>3.021652</td>\n",
       "      <td>3.053247</td>\n",
       "      <td>3.020962</td>\n",
       "      <td>3.021278</td>\n",
       "      <td>3.019178</td>\n",
       "      <td>3.015381</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>2.738003</td>\n",
       "      <td>2.741004</td>\n",
       "      <td>2.733434</td>\n",
       "      <td>2.717438</td>\n",
       "      <td>2.628251</td>\n",
       "      <td>2.081144</td>\n",
       "      <td>2.736887</td>\n",
       "      <td>2.731162</td>\n",
       "      <td>2.733813</td>\n",
       "      <td>2.764647</td>\n",
       "      <td>...</td>\n",
       "      <td>2.590442</td>\n",
       "      <td>2.782206</td>\n",
       "      <td>2.918756</td>\n",
       "      <td>2.751672</td>\n",
       "      <td>2.698261</td>\n",
       "      <td>2.696179</td>\n",
       "      <td>2.733587</td>\n",
       "      <td>2.726568</td>\n",
       "      <td>2.723234</td>\n",
       "      <td>2.744337</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>3.099151</td>\n",
       "      <td>2.991474</td>\n",
       "      <td>3.015804</td>\n",
       "      <td>3.049696</td>\n",
       "      <td>3.120809</td>\n",
       "      <td>0.957810</td>\n",
       "      <td>3.016524</td>\n",
       "      <td>3.021630</td>\n",
       "      <td>3.012946</td>\n",
       "      <td>2.960317</td>\n",
       "      <td>...</td>\n",
       "      <td>2.955147</td>\n",
       "      <td>3.041501</td>\n",
       "      <td>3.106913</td>\n",
       "      <td>3.018009</td>\n",
       "      <td>3.030171</td>\n",
       "      <td>3.083415</td>\n",
       "      <td>3.016730</td>\n",
       "      <td>3.017377</td>\n",
       "      <td>3.022486</td>\n",
       "      <td>3.022144</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>509</th>\n",
       "      <td>3.672296</td>\n",
       "      <td>3.681483</td>\n",
       "      <td>3.669376</td>\n",
       "      <td>3.670604</td>\n",
       "      <td>2.009380</td>\n",
       "      <td>5.038884</td>\n",
       "      <td>3.671873</td>\n",
       "      <td>3.667803</td>\n",
       "      <td>3.670148</td>\n",
       "      <td>3.666813</td>\n",
       "      <td>...</td>\n",
       "      <td>3.676800</td>\n",
       "      <td>3.664481</td>\n",
       "      <td>3.665480</td>\n",
       "      <td>3.665395</td>\n",
       "      <td>3.679033</td>\n",
       "      <td>3.970659</td>\n",
       "      <td>3.669610</td>\n",
       "      <td>3.670136</td>\n",
       "      <td>3.672376</td>\n",
       "      <td>3.665660</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>510</th>\n",
       "      <td>2.304876</td>\n",
       "      <td>2.421916</td>\n",
       "      <td>2.404285</td>\n",
       "      <td>2.396741</td>\n",
       "      <td>2.390190</td>\n",
       "      <td>2.364682</td>\n",
       "      <td>2.407076</td>\n",
       "      <td>2.410823</td>\n",
       "      <td>2.383619</td>\n",
       "      <td>2.436565</td>\n",
       "      <td>...</td>\n",
       "      <td>2.432236</td>\n",
       "      <td>2.405039</td>\n",
       "      <td>2.459732</td>\n",
       "      <td>2.391717</td>\n",
       "      <td>2.412016</td>\n",
       "      <td>2.424911</td>\n",
       "      <td>2.403818</td>\n",
       "      <td>2.400230</td>\n",
       "      <td>2.406133</td>\n",
       "      <td>2.394815</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>511</th>\n",
       "      <td>3.178542</td>\n",
       "      <td>3.088305</td>\n",
       "      <td>3.088912</td>\n",
       "      <td>3.086475</td>\n",
       "      <td>3.201395</td>\n",
       "      <td>2.960987</td>\n",
       "      <td>3.094968</td>\n",
       "      <td>3.109589</td>\n",
       "      <td>3.083913</td>\n",
       "      <td>3.014235</td>\n",
       "      <td>...</td>\n",
       "      <td>3.076420</td>\n",
       "      <td>3.202260</td>\n",
       "      <td>3.132661</td>\n",
       "      <td>3.099111</td>\n",
       "      <td>3.074648</td>\n",
       "      <td>3.069824</td>\n",
       "      <td>3.089628</td>\n",
       "      <td>3.103547</td>\n",
       "      <td>3.070738</td>\n",
       "      <td>3.086991</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>512</th>\n",
       "      <td>2.853714</td>\n",
       "      <td>2.896912</td>\n",
       "      <td>2.873014</td>\n",
       "      <td>2.890739</td>\n",
       "      <td>2.913086</td>\n",
       "      <td>0.910351</td>\n",
       "      <td>2.873794</td>\n",
       "      <td>2.880539</td>\n",
       "      <td>2.866107</td>\n",
       "      <td>2.873782</td>\n",
       "      <td>...</td>\n",
       "      <td>2.899520</td>\n",
       "      <td>2.901198</td>\n",
       "      <td>2.885108</td>\n",
       "      <td>2.887960</td>\n",
       "      <td>2.902845</td>\n",
       "      <td>2.896948</td>\n",
       "      <td>2.872205</td>\n",
       "      <td>2.873383</td>\n",
       "      <td>2.851606</td>\n",
       "      <td>2.847384</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>513</th>\n",
       "      <td>3.109624</td>\n",
       "      <td>3.103183</td>\n",
       "      <td>3.118899</td>\n",
       "      <td>3.119891</td>\n",
       "      <td>3.006244</td>\n",
       "      <td>2.923387</td>\n",
       "      <td>3.118783</td>\n",
       "      <td>3.112525</td>\n",
       "      <td>3.117762</td>\n",
       "      <td>3.134565</td>\n",
       "      <td>...</td>\n",
       "      <td>3.053436</td>\n",
       "      <td>3.109945</td>\n",
       "      <td>3.121810</td>\n",
       "      <td>3.109879</td>\n",
       "      <td>3.166179</td>\n",
       "      <td>3.194394</td>\n",
       "      <td>3.115950</td>\n",
       "      <td>3.116927</td>\n",
       "      <td>3.109064</td>\n",
       "      <td>3.134605</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>500 rows × 6040 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "userID       1         2         3         4         5         6         7      \n",
       "movieID                                                                         \n",
       "1        2.997826  4.146368  4.145265  4.139638  4.129848  4.008609  4.141978  \\\n",
       "2        3.209200  3.208185  3.199941  3.209318  3.180857  3.164512  3.199728   \n",
       "3        3.019911  3.028893  3.020982  3.019756  2.999780  0.919168  3.020555   \n",
       "4        2.738003  2.741004  2.733434  2.717438  2.628251  2.081144  2.736887   \n",
       "5        3.099151  2.991474  3.015804  3.049696  3.120809  0.957810  3.016524   \n",
       "...           ...       ...       ...       ...       ...       ...       ...   \n",
       "509      3.672296  3.681483  3.669376  3.670604  2.009380  5.038884  3.671873   \n",
       "510      2.304876  2.421916  2.404285  2.396741  2.390190  2.364682  2.407076   \n",
       "511      3.178542  3.088305  3.088912  3.086475  3.201395  2.960987  3.094968   \n",
       "512      2.853714  2.896912  2.873014  2.890739  2.913086  0.910351  2.873794   \n",
       "513      3.109624  3.103183  3.118899  3.119891  3.006244  2.923387  3.118783   \n",
       "\n",
       "userID       8         9         10    ...      6031      6032      6033   \n",
       "movieID                                ...                                 \n",
       "1        4.145996  4.002044  4.131774  ...  4.958787  4.993242  3.995920  \\\n",
       "2        3.203026  3.199723  3.178567  ...  4.989565  3.199393  3.189696   \n",
       "3        3.014124  3.021400  3.025184  ...  3.045311  3.019486  3.068736   \n",
       "4        2.731162  2.733813  2.764647  ...  2.590442  2.782206  2.918756   \n",
       "5        3.021630  3.012946  2.960317  ...  2.955147  3.041501  3.106913   \n",
       "...           ...       ...       ...  ...       ...       ...       ...   \n",
       "509      3.667803  3.670148  3.666813  ...  3.676800  3.664481  3.665480   \n",
       "510      2.410823  2.383619  2.436565  ...  2.432236  2.405039  2.459732   \n",
       "511      3.109589  3.083913  3.014235  ...  3.076420  3.202260  3.132661   \n",
       "512      2.880539  2.866107  2.873782  ...  2.899520  2.901198  2.885108   \n",
       "513      3.112525  3.117762  3.134565  ...  3.053436  3.109945  3.121810   \n",
       "\n",
       "userID       6034      6035      6036      6037      6038      6039      6040  \n",
       "movieID                                                                        \n",
       "1        4.145718  4.006045  4.146436  4.145435  4.145285  4.150731  4.996321  \n",
       "2        3.204894  3.222706  3.195811  3.200167  3.201086  3.213216  3.197457  \n",
       "3        3.014090  3.021652  3.053247  3.020962  3.021278  3.019178  3.015381  \n",
       "4        2.751672  2.698261  2.696179  2.733587  2.726568  2.723234  2.744337  \n",
       "5        3.018009  3.030171  3.083415  3.016730  3.017377  3.022486  3.022144  \n",
       "...           ...       ...       ...       ...       ...       ...       ...  \n",
       "509      3.665395  3.679033  3.970659  3.669610  3.670136  3.672376  3.665660  \n",
       "510      2.391717  2.412016  2.424911  2.403818  2.400230  2.406133  2.394815  \n",
       "511      3.099111  3.074648  3.069824  3.089628  3.103547  3.070738  3.086991  \n",
       "512      2.887960  2.902845  2.896948  2.872205  2.873383  2.851606  2.847384  \n",
       "513      3.109879  3.166179  3.194394  3.115950  3.116927  3.109064  3.134605  \n",
       "\n",
       "[500 rows x 6040 columns]"
      ]
     },
     "execution_count": 34,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "results2 = results + test_raw.mean(axis=1).values.reshape(-1, 1)\n",
    "results2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "id": "de83a4a7",
   "metadata": {},
   "outputs": [],
   "source": [
    "for i in results2.columns:\n",
    "    results2[i] = np.where(results2[i] < 1, 1, results2[i])\n",
    "    results2[i] = np.where(results2[i] > 5, 5, results2[i])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 56,
   "id": "f23b960e",
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0"
      ]
     },
     "execution_count": 56,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "results2.isnull().sum().sum()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 57,
   "id": "70ba93fb",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
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       "\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>userID</th>\n",
       "      <th>1</th>\n",
       "      <th>2</th>\n",
       "      <th>3</th>\n",
       "      <th>4</th>\n",
       "      <th>5</th>\n",
       "      <th>6</th>\n",
       "      <th>7</th>\n",
       "      <th>8</th>\n",
       "      <th>9</th>\n",
       "      <th>10</th>\n",
       "      <th>...</th>\n",
       "      <th>6031</th>\n",
       "      <th>6032</th>\n",
       "      <th>6033</th>\n",
       "      <th>6034</th>\n",
       "      <th>6035</th>\n",
       "      <th>6036</th>\n",
       "      <th>6037</th>\n",
       "      <th>6038</th>\n",
       "      <th>6039</th>\n",
       "      <th>6040</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>movieID</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>2.997826</td>\n",
       "      <td>4.146368</td>\n",
       "      <td>4.145265</td>\n",
       "      <td>4.139638</td>\n",
       "      <td>4.129848</td>\n",
       "      <td>4.008609</td>\n",
       "      <td>4.141978</td>\n",
       "      <td>4.145996</td>\n",
       "      <td>4.002044</td>\n",
       "      <td>4.131774</td>\n",
       "      <td>...</td>\n",
       "      <td>4.958787</td>\n",
       "      <td>4.993242</td>\n",
       "      <td>3.995920</td>\n",
       "      <td>4.145718</td>\n",
       "      <td>4.006045</td>\n",
       "      <td>4.146436</td>\n",
       "      <td>4.145435</td>\n",
       "      <td>4.145285</td>\n",
       "      <td>4.150731</td>\n",
       "      <td>4.996321</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>3.209200</td>\n",
       "      <td>3.208185</td>\n",
       "      <td>3.199941</td>\n",
       "      <td>3.209318</td>\n",
       "      <td>3.180857</td>\n",
       "      <td>3.164512</td>\n",
       "      <td>3.199728</td>\n",
       "      <td>3.203026</td>\n",
       "      <td>3.199723</td>\n",
       "      <td>3.178567</td>\n",
       "      <td>...</td>\n",
       "      <td>4.989565</td>\n",
       "      <td>3.199393</td>\n",
       "      <td>3.189696</td>\n",
       "      <td>3.204894</td>\n",
       "      <td>3.222706</td>\n",
       "      <td>3.195811</td>\n",
       "      <td>3.200167</td>\n",
       "      <td>3.201086</td>\n",
       "      <td>3.213216</td>\n",
       "      <td>3.197457</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>3.019911</td>\n",
       "      <td>3.028893</td>\n",
       "      <td>3.020982</td>\n",
       "      <td>3.019756</td>\n",
       "      <td>2.999780</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>3.020555</td>\n",
       "      <td>3.014124</td>\n",
       "      <td>3.021400</td>\n",
       "      <td>3.025184</td>\n",
       "      <td>...</td>\n",
       "      <td>3.045311</td>\n",
       "      <td>3.019486</td>\n",
       "      <td>3.068736</td>\n",
       "      <td>3.014090</td>\n",
       "      <td>3.021652</td>\n",
       "      <td>3.053247</td>\n",
       "      <td>3.020962</td>\n",
       "      <td>3.021278</td>\n",
       "      <td>3.019178</td>\n",
       "      <td>3.015381</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>2.738003</td>\n",
       "      <td>2.741004</td>\n",
       "      <td>2.733434</td>\n",
       "      <td>2.717438</td>\n",
       "      <td>2.628251</td>\n",
       "      <td>2.081144</td>\n",
       "      <td>2.736887</td>\n",
       "      <td>2.731162</td>\n",
       "      <td>2.733813</td>\n",
       "      <td>2.764647</td>\n",
       "      <td>...</td>\n",
       "      <td>2.590442</td>\n",
       "      <td>2.782206</td>\n",
       "      <td>2.918756</td>\n",
       "      <td>2.751672</td>\n",
       "      <td>2.698261</td>\n",
       "      <td>2.696179</td>\n",
       "      <td>2.733587</td>\n",
       "      <td>2.726568</td>\n",
       "      <td>2.723234</td>\n",
       "      <td>2.744337</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>3.099151</td>\n",
       "      <td>2.991474</td>\n",
       "      <td>3.015804</td>\n",
       "      <td>3.049696</td>\n",
       "      <td>3.120809</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>3.016524</td>\n",
       "      <td>3.021630</td>\n",
       "      <td>3.012946</td>\n",
       "      <td>2.960317</td>\n",
       "      <td>...</td>\n",
       "      <td>2.955147</td>\n",
       "      <td>3.041501</td>\n",
       "      <td>3.106913</td>\n",
       "      <td>3.018009</td>\n",
       "      <td>3.030171</td>\n",
       "      <td>3.083415</td>\n",
       "      <td>3.016730</td>\n",
       "      <td>3.017377</td>\n",
       "      <td>3.022486</td>\n",
       "      <td>3.022144</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>509</th>\n",
       "      <td>3.672296</td>\n",
       "      <td>3.681483</td>\n",
       "      <td>3.669376</td>\n",
       "      <td>3.670604</td>\n",
       "      <td>2.009380</td>\n",
       "      <td>5.000000</td>\n",
       "      <td>3.671873</td>\n",
       "      <td>3.667803</td>\n",
       "      <td>3.670148</td>\n",
       "      <td>3.666813</td>\n",
       "      <td>...</td>\n",
       "      <td>3.676800</td>\n",
       "      <td>3.664481</td>\n",
       "      <td>3.665480</td>\n",
       "      <td>3.665395</td>\n",
       "      <td>3.679033</td>\n",
       "      <td>3.970659</td>\n",
       "      <td>3.669610</td>\n",
       "      <td>3.670136</td>\n",
       "      <td>3.672376</td>\n",
       "      <td>3.665660</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>510</th>\n",
       "      <td>2.304876</td>\n",
       "      <td>2.421916</td>\n",
       "      <td>2.404285</td>\n",
       "      <td>2.396741</td>\n",
       "      <td>2.390190</td>\n",
       "      <td>2.364682</td>\n",
       "      <td>2.407076</td>\n",
       "      <td>2.410823</td>\n",
       "      <td>2.383619</td>\n",
       "      <td>2.436565</td>\n",
       "      <td>...</td>\n",
       "      <td>2.432236</td>\n",
       "      <td>2.405039</td>\n",
       "      <td>2.459732</td>\n",
       "      <td>2.391717</td>\n",
       "      <td>2.412016</td>\n",
       "      <td>2.424911</td>\n",
       "      <td>2.403818</td>\n",
       "      <td>2.400230</td>\n",
       "      <td>2.406133</td>\n",
       "      <td>2.394815</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>511</th>\n",
       "      <td>3.178542</td>\n",
       "      <td>3.088305</td>\n",
       "      <td>3.088912</td>\n",
       "      <td>3.086475</td>\n",
       "      <td>3.201395</td>\n",
       "      <td>2.960987</td>\n",
       "      <td>3.094968</td>\n",
       "      <td>3.109589</td>\n",
       "      <td>3.083913</td>\n",
       "      <td>3.014235</td>\n",
       "      <td>...</td>\n",
       "      <td>3.076420</td>\n",
       "      <td>3.202260</td>\n",
       "      <td>3.132661</td>\n",
       "      <td>3.099111</td>\n",
       "      <td>3.074648</td>\n",
       "      <td>3.069824</td>\n",
       "      <td>3.089628</td>\n",
       "      <td>3.103547</td>\n",
       "      <td>3.070738</td>\n",
       "      <td>3.086991</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>512</th>\n",
       "      <td>2.853714</td>\n",
       "      <td>2.896912</td>\n",
       "      <td>2.873014</td>\n",
       "      <td>2.890739</td>\n",
       "      <td>2.913086</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>2.873794</td>\n",
       "      <td>2.880539</td>\n",
       "      <td>2.866107</td>\n",
       "      <td>2.873782</td>\n",
       "      <td>...</td>\n",
       "      <td>2.899520</td>\n",
       "      <td>2.901198</td>\n",
       "      <td>2.885108</td>\n",
       "      <td>2.887960</td>\n",
       "      <td>2.902845</td>\n",
       "      <td>2.896948</td>\n",
       "      <td>2.872205</td>\n",
       "      <td>2.873383</td>\n",
       "      <td>2.851606</td>\n",
       "      <td>2.847384</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>513</th>\n",
       "      <td>3.109624</td>\n",
       "      <td>3.103183</td>\n",
       "      <td>3.118899</td>\n",
       "      <td>3.119891</td>\n",
       "      <td>3.006244</td>\n",
       "      <td>2.923387</td>\n",
       "      <td>3.118783</td>\n",
       "      <td>3.112525</td>\n",
       "      <td>3.117762</td>\n",
       "      <td>3.134565</td>\n",
       "      <td>...</td>\n",
       "      <td>3.053436</td>\n",
       "      <td>3.109945</td>\n",
       "      <td>3.121810</td>\n",
       "      <td>3.109879</td>\n",
       "      <td>3.166179</td>\n",
       "      <td>3.194394</td>\n",
       "      <td>3.115950</td>\n",
       "      <td>3.116927</td>\n",
       "      <td>3.109064</td>\n",
       "      <td>3.134605</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>500 rows × 6040 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "userID       1         2         3         4         5         6         7      \n",
       "movieID                                                                         \n",
       "1        2.997826  4.146368  4.145265  4.139638  4.129848  4.008609  4.141978  \\\n",
       "2        3.209200  3.208185  3.199941  3.209318  3.180857  3.164512  3.199728   \n",
       "3        3.019911  3.028893  3.020982  3.019756  2.999780  1.000000  3.020555   \n",
       "4        2.738003  2.741004  2.733434  2.717438  2.628251  2.081144  2.736887   \n",
       "5        3.099151  2.991474  3.015804  3.049696  3.120809  1.000000  3.016524   \n",
       "...           ...       ...       ...       ...       ...       ...       ...   \n",
       "509      3.672296  3.681483  3.669376  3.670604  2.009380  5.000000  3.671873   \n",
       "510      2.304876  2.421916  2.404285  2.396741  2.390190  2.364682  2.407076   \n",
       "511      3.178542  3.088305  3.088912  3.086475  3.201395  2.960987  3.094968   \n",
       "512      2.853714  2.896912  2.873014  2.890739  2.913086  1.000000  2.873794   \n",
       "513      3.109624  3.103183  3.118899  3.119891  3.006244  2.923387  3.118783   \n",
       "\n",
       "userID       8         9         10    ...      6031      6032      6033   \n",
       "movieID                                ...                                 \n",
       "1        4.145996  4.002044  4.131774  ...  4.958787  4.993242  3.995920  \\\n",
       "2        3.203026  3.199723  3.178567  ...  4.989565  3.199393  3.189696   \n",
       "3        3.014124  3.021400  3.025184  ...  3.045311  3.019486  3.068736   \n",
       "4        2.731162  2.733813  2.764647  ...  2.590442  2.782206  2.918756   \n",
       "5        3.021630  3.012946  2.960317  ...  2.955147  3.041501  3.106913   \n",
       "...           ...       ...       ...  ...       ...       ...       ...   \n",
       "509      3.667803  3.670148  3.666813  ...  3.676800  3.664481  3.665480   \n",
       "510      2.410823  2.383619  2.436565  ...  2.432236  2.405039  2.459732   \n",
       "511      3.109589  3.083913  3.014235  ...  3.076420  3.202260  3.132661   \n",
       "512      2.880539  2.866107  2.873782  ...  2.899520  2.901198  2.885108   \n",
       "513      3.112525  3.117762  3.134565  ...  3.053436  3.109945  3.121810   \n",
       "\n",
       "userID       6034      6035      6036      6037      6038      6039      6040  \n",
       "movieID                                                                        \n",
       "1        4.145718  4.006045  4.146436  4.145435  4.145285  4.150731  4.996321  \n",
       "2        3.204894  3.222706  3.195811  3.200167  3.201086  3.213216  3.197457  \n",
       "3        3.014090  3.021652  3.053247  3.020962  3.021278  3.019178  3.015381  \n",
       "4        2.751672  2.698261  2.696179  2.733587  2.726568  2.723234  2.744337  \n",
       "5        3.018009  3.030171  3.083415  3.016730  3.017377  3.022486  3.022144  \n",
       "...           ...       ...       ...       ...       ...       ...       ...  \n",
       "509      3.665395  3.679033  3.970659  3.669610  3.670136  3.672376  3.665660  \n",
       "510      2.391717  2.412016  2.424911  2.403818  2.400230  2.406133  2.394815  \n",
       "511      3.099111  3.074648  3.069824  3.089628  3.103547  3.070738  3.086991  \n",
       "512      2.887960  2.902845  2.896948  2.872205  2.873383  2.851606  2.847384  \n",
       "513      3.109879  3.166179  3.194394  3.115950  3.116927  3.109064  3.134605  \n",
       "\n",
       "[500 rows x 6040 columns]"
      ]
     },
     "execution_count": 57,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "results2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 78,
   "id": "d3c55c09",
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
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       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
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       "\n",
       "    .dataframe tbody tr th {\n",
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       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th>userID</th>\n",
       "      <th>1</th>\n",
       "      <th>2</th>\n",
       "      <th>3</th>\n",
       "      <th>4</th>\n",
       "      <th>5</th>\n",
       "      <th>6</th>\n",
       "      <th>7</th>\n",
       "      <th>8</th>\n",
       "      <th>9</th>\n",
       "      <th>10</th>\n",
       "      <th>...</th>\n",
       "      <th>6031</th>\n",
       "      <th>6032</th>\n",
       "      <th>6033</th>\n",
       "      <th>6034</th>\n",
       "      <th>6035</th>\n",
       "      <th>6036</th>\n",
       "      <th>6037</th>\n",
       "      <th>6038</th>\n",
       "      <th>6039</th>\n",
       "      <th>6040</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>movieID</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
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       "      <th></th>\n",
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       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
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       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>3.0</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>4.0</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>4.0</td>\n",
       "      <td>NaN</td>\n",
       "      <td>...</td>\n",
       "      <td>5.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>NaN</td>\n",
       "      <td>4.0</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>5.0</td>\n",
       "    </tr>\n",
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       "      <th>2</th>\n",
       "      <td>NaN</td>\n",
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       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
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       "      <td>5.0</td>\n",
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       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1.0</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>...</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>2.0</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>...</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>3.0</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
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       "      <td>NaN</td>\n",
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       "      <td>NaN</td>\n",
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       "      <td>...</td>\n",
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       "    <tr>\n",
       "      <th>509</th>\n",
       "      <td>NaN</td>\n",
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       "      <td>NaN</td>\n",
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       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>4.0</td>\n",
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       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>510</th>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>...</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>3.0</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>511</th>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>...</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>512</th>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1.0</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>...</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>513</th>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>...</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>500 rows × 6040 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "userID   1     2     3     4     5     6     7     8     9     10    ...   \n",
       "movieID                                                              ...   \n",
       "1         3.0   NaN   NaN   NaN   NaN   4.0   NaN   NaN   4.0   NaN  ...  \\\n",
       "2         NaN   NaN   NaN   NaN   NaN   NaN   NaN   NaN   NaN   NaN  ...   \n",
       "3         NaN   NaN   NaN   NaN   NaN   1.0   NaN   NaN   NaN   NaN  ...   \n",
       "4         NaN   NaN   NaN   NaN   NaN   2.0   NaN   NaN   NaN   NaN  ...   \n",
       "5         NaN   NaN   NaN   NaN   NaN   1.0   NaN   NaN   NaN   NaN  ...   \n",
       "...       ...   ...   ...   ...   ...   ...   ...   ...   ...   ...  ...   \n",
       "509       NaN   NaN   NaN   NaN   2.0   5.0   NaN   NaN   NaN   NaN  ...   \n",
       "510       NaN   NaN   NaN   NaN   NaN   NaN   NaN   NaN   NaN   NaN  ...   \n",
       "511       NaN   NaN   NaN   NaN   NaN   NaN   NaN   NaN   NaN   NaN  ...   \n",
       "512       NaN   NaN   NaN   NaN   NaN   1.0   NaN   NaN   NaN   NaN  ...   \n",
       "513       NaN   NaN   NaN   NaN   NaN   NaN   NaN   NaN   NaN   NaN  ...   \n",
       "\n",
       "userID   6031  6032  6033  6034  6035  6036  6037  6038  6039  6040  \n",
       "movieID                                                              \n",
       "1         5.0   5.0   4.0   NaN   4.0   NaN   NaN   NaN   NaN   5.0  \n",
       "2         5.0   NaN   NaN   NaN   NaN   NaN   NaN   NaN   NaN   NaN  \n",
       "3         NaN   NaN   NaN   NaN   NaN   NaN   NaN   NaN   NaN   NaN  \n",
       "4         NaN   NaN   3.0   NaN   NaN   NaN   NaN   NaN   NaN   NaN  \n",
       "5         NaN   NaN   NaN   NaN   NaN   NaN   NaN   NaN   NaN   NaN  \n",
       "...       ...   ...   ...   ...   ...   ...   ...   ...   ...   ...  \n",
       "509       NaN   NaN   NaN   NaN   NaN   4.0   NaN   NaN   NaN   NaN  \n",
       "510       NaN   NaN   3.0   NaN   NaN   NaN   NaN   NaN   NaN   NaN  \n",
       "511       NaN   NaN   NaN   NaN   NaN   NaN   NaN   NaN   NaN   NaN  \n",
       "512       NaN   NaN   NaN   NaN   NaN   NaN   NaN   NaN   NaN   NaN  \n",
       "513       NaN   NaN   NaN   NaN   NaN   NaN   NaN   NaN   NaN   NaN  \n",
       "\n",
       "[500 rows x 6040 columns]"
      ]
     },
     "execution_count": 78,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "test_raw"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 79,
   "id": "ca44a906",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "4.0"
      ]
     },
     "execution_count": 79,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "test_raw.loc[1,6]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 80,
   "id": "2efb11b6",
   "metadata": {},
   "outputs": [],
   "source": [
    "idx = []\n",
    "users = []\n",
    "for user in test_raw.columns:\n",
    "    for movie in test_raw.index:\n",
    "        if np.isnan(test_raw.loc[movie,user]) == False:\n",
    "            idx.append(movie)\n",
    "            users.append(user)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 81,
   "id": "8243f74b",
   "metadata": {},
   "outputs": [],
   "source": [
    "real_ratings = []\n",
    "for user in test_raw.columns:\n",
    "    for movie in test_raw.index:\n",
    "        if np.isnan(test_raw.loc[movie,user]) == False:\n",
    "            real_ratings.append(test_raw.loc[movie,user])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 83,
   "id": "df4fcacd",
   "metadata": {},
   "outputs": [],
   "source": [
    "pred_ratings = []\n",
    "for i in range(len(idx)):\n",
    "    pred_ratings.append(results2.loc[idx[i],users[i]])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 85,
   "id": "2fd4de2c",
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "137272"
      ]
     },
     "execution_count": 85,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "len(real_ratings)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 86,
   "id": "7d800f4f",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "137272"
      ]
     },
     "execution_count": 86,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "len(pred_ratings)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 84,
   "id": "3b255c0f",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.0574635172627423"
      ]
     },
     "execution_count": 84,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "mean_squared_error(real_ratings,pred_ratings)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 87,
   "id": "9cef30e2",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "U shape: (3705, 3705)\n",
      "S shape: (3705,)\n",
      "VT shape: (6040, 6040)\n"
     ]
    }
   ],
   "source": [
    "U, S, VT = np.linalg.svd(scaled_df, full_matrices=True)\n",
    "print(\"U shape:\", U.shape) # movies to concepts matrix\n",
    "print(\"S shape:\", S.shape) # strength vector\n",
    "print(\"VT shape:\", VT.shape) # concepts to users matrix"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 88,
   "id": "ee1cf022",
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
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    }
   ],
   "source": [
    "S_square = S * S\n",
    "S_square_sum = S_square.sum()\n",
    "for i in range(1, len(S)):\n",
    "    res = S_square[:i].sum()/S_square_sum\n",
    "    if res >= 0.90:\n",
    "        print(i, res)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 89,
   "id": "26fa5cb4",
   "metadata": {},
   "outputs": [],
   "source": [
    "k = 1075\n",
    "U = U[:, :k]\n",
    "S = S[:k]\n",
    "VT = VT[:k, :]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 90,
   "id": "55cf8e24",
   "metadata": {
    "scrolled": true
   },
   "outputs": [
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       "      <th>6032</th>\n",
       "      <th>6033</th>\n",
       "      <th>6034</th>\n",
       "      <th>6035</th>\n",
       "      <th>6036</th>\n",
       "      <th>6037</th>\n",
       "      <th>6038</th>\n",
       "      <th>6039</th>\n",
       "      <th>6040</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>movieID</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>-1.160564</td>\n",
       "      <td>0.022083</td>\n",
       "      <td>0.028364</td>\n",
       "      <td>-0.036670</td>\n",
       "      <td>0.010661</td>\n",
       "      <td>-0.119183</td>\n",
       "      <td>0.004345</td>\n",
       "      <td>0.009302</td>\n",
       "      <td>-0.101873</td>\n",
       "      <td>-0.021064</td>\n",
       "      <td>...</td>\n",
       "      <td>0.837225</td>\n",
       "      <td>0.838601</td>\n",
       "      <td>-0.142644</td>\n",
       "      <td>0.001959</td>\n",
       "      <td>-0.108506</td>\n",
       "      <td>-0.009929</td>\n",
       "      <td>-0.000647</td>\n",
       "      <td>-0.009027</td>\n",
       "      <td>0.007581</td>\n",
       "      <td>0.834295</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>-0.001246</td>\n",
       "      <td>-0.028122</td>\n",
       "      <td>0.033334</td>\n",
       "      <td>0.026273</td>\n",
       "      <td>0.053652</td>\n",
       "      <td>0.131032</td>\n",
       "      <td>0.016461</td>\n",
       "      <td>0.000925</td>\n",
       "      <td>0.034966</td>\n",
       "      <td>-0.065426</td>\n",
       "      <td>...</td>\n",
       "      <td>1.829543</td>\n",
       "      <td>-0.040538</td>\n",
       "      <td>0.045047</td>\n",
       "      <td>-0.004666</td>\n",
       "      <td>0.009122</td>\n",
       "      <td>-0.023605</td>\n",
       "      <td>-0.010271</td>\n",
       "      <td>0.008641</td>\n",
       "      <td>-0.013910</td>\n",
       "      <td>-0.042067</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>-0.097136</td>\n",
       "      <td>-0.017016</td>\n",
       "      <td>0.042552</td>\n",
       "      <td>-0.106648</td>\n",
       "      <td>-0.043715</td>\n",
       "      <td>-2.071649</td>\n",
       "      <td>0.015574</td>\n",
       "      <td>0.028431</td>\n",
       "      <td>0.024898</td>\n",
       "      <td>-0.022109</td>\n",
       "      <td>...</td>\n",
       "      <td>-0.058777</td>\n",
       "      <td>-0.000700</td>\n",
       "      <td>0.122375</td>\n",
       "      <td>0.008281</td>\n",
       "      <td>0.008703</td>\n",
       "      <td>0.011075</td>\n",
       "      <td>0.046345</td>\n",
       "      <td>0.043320</td>\n",
       "      <td>0.038037</td>\n",
       "      <td>-0.046186</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>-0.009243</td>\n",
       "      <td>-0.051772</td>\n",
       "      <td>0.031584</td>\n",
       "      <td>0.033073</td>\n",
       "      <td>-0.105070</td>\n",
       "      <td>-0.704654</td>\n",
       "      <td>-0.021808</td>\n",
       "      <td>-0.035704</td>\n",
       "      <td>0.019134</td>\n",
       "      <td>0.048052</td>\n",
       "      <td>...</td>\n",
       "      <td>-0.130900</td>\n",
       "      <td>-0.014292</td>\n",
       "      <td>0.229761</td>\n",
       "      <td>-0.000473</td>\n",
       "      <td>-0.022622</td>\n",
       "      <td>-0.066460</td>\n",
       "      <td>-0.005177</td>\n",
       "      <td>-0.010767</td>\n",
       "      <td>0.008695</td>\n",
       "      <td>-0.010556</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>0.156289</td>\n",
       "      <td>-0.066731</td>\n",
       "      <td>0.009037</td>\n",
       "      <td>0.029768</td>\n",
       "      <td>-0.128125</td>\n",
       "      <td>-2.016073</td>\n",
       "      <td>0.021476</td>\n",
       "      <td>-0.001536</td>\n",
       "      <td>-0.130271</td>\n",
       "      <td>0.034735</td>\n",
       "      <td>...</td>\n",
       "      <td>0.158475</td>\n",
       "      <td>-0.051905</td>\n",
       "      <td>-0.031180</td>\n",
       "      <td>-0.030975</td>\n",
       "      <td>0.056620</td>\n",
       "      <td>-0.008660</td>\n",
       "      <td>-0.019941</td>\n",
       "      <td>-0.031178</td>\n",
       "      <td>-0.017010</td>\n",
       "      <td>0.000851</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>3948</th>\n",
       "      <td>0.017408</td>\n",
       "      <td>0.002842</td>\n",
       "      <td>-0.000593</td>\n",
       "      <td>-0.061003</td>\n",
       "      <td>0.001710</td>\n",
       "      <td>0.032908</td>\n",
       "      <td>0.021210</td>\n",
       "      <td>0.009632</td>\n",
       "      <td>0.029960</td>\n",
       "      <td>-0.045687</td>\n",
       "      <td>...</td>\n",
       "      <td>0.340045</td>\n",
       "      <td>-0.639987</td>\n",
       "      <td>0.011169</td>\n",
       "      <td>-0.011790</td>\n",
       "      <td>-0.024239</td>\n",
       "      <td>0.007488</td>\n",
       "      <td>0.005234</td>\n",
       "      <td>0.025857</td>\n",
       "      <td>-0.041536</td>\n",
       "      <td>0.030911</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3949</th>\n",
       "      <td>0.039854</td>\n",
       "      <td>0.121307</td>\n",
       "      <td>0.023109</td>\n",
       "      <td>-0.010929</td>\n",
       "      <td>0.059853</td>\n",
       "      <td>-0.061907</td>\n",
       "      <td>0.017327</td>\n",
       "      <td>-0.012032</td>\n",
       "      <td>0.014521</td>\n",
       "      <td>-0.060520</td>\n",
       "      <td>...</td>\n",
       "      <td>-0.021182</td>\n",
       "      <td>-0.014288</td>\n",
       "      <td>-0.087556</td>\n",
       "      <td>-0.038569</td>\n",
       "      <td>0.057708</td>\n",
       "      <td>0.052754</td>\n",
       "      <td>-0.024596</td>\n",
       "      <td>-0.058582</td>\n",
       "      <td>-0.034821</td>\n",
       "      <td>0.009079</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3950</th>\n",
       "      <td>0.012849</td>\n",
       "      <td>0.038176</td>\n",
       "      <td>0.003944</td>\n",
       "      <td>0.024134</td>\n",
       "      <td>-0.027273</td>\n",
       "      <td>-0.077644</td>\n",
       "      <td>-0.003430</td>\n",
       "      <td>0.015284</td>\n",
       "      <td>0.019950</td>\n",
       "      <td>-0.014450</td>\n",
       "      <td>...</td>\n",
       "      <td>-0.060290</td>\n",
       "      <td>0.032047</td>\n",
       "      <td>0.027282</td>\n",
       "      <td>0.011425</td>\n",
       "      <td>-0.073363</td>\n",
       "      <td>-0.009639</td>\n",
       "      <td>-0.012333</td>\n",
       "      <td>0.052711</td>\n",
       "      <td>0.057892</td>\n",
       "      <td>0.014110</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3951</th>\n",
       "      <td>0.017720</td>\n",
       "      <td>0.007328</td>\n",
       "      <td>-0.008199</td>\n",
       "      <td>-0.045781</td>\n",
       "      <td>0.044235</td>\n",
       "      <td>-0.034684</td>\n",
       "      <td>0.000676</td>\n",
       "      <td>-0.009372</td>\n",
       "      <td>-0.021974</td>\n",
       "      <td>-0.031844</td>\n",
       "      <td>...</td>\n",
       "      <td>-0.042928</td>\n",
       "      <td>-0.023951</td>\n",
       "      <td>-0.059406</td>\n",
       "      <td>0.028328</td>\n",
       "      <td>-0.004122</td>\n",
       "      <td>-0.016045</td>\n",
       "      <td>-0.000160</td>\n",
       "      <td>0.001901</td>\n",
       "      <td>-0.028764</td>\n",
       "      <td>-0.006173</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3952</th>\n",
       "      <td>-0.002800</td>\n",
       "      <td>0.039720</td>\n",
       "      <td>0.031722</td>\n",
       "      <td>0.070141</td>\n",
       "      <td>-0.029960</td>\n",
       "      <td>-0.007125</td>\n",
       "      <td>0.033815</td>\n",
       "      <td>-0.065097</td>\n",
       "      <td>0.042281</td>\n",
       "      <td>-0.038918</td>\n",
       "      <td>...</td>\n",
       "      <td>0.062355</td>\n",
       "      <td>0.024635</td>\n",
       "      <td>-0.121426</td>\n",
       "      <td>0.022750</td>\n",
       "      <td>0.075873</td>\n",
       "      <td>0.012525</td>\n",
       "      <td>0.038652</td>\n",
       "      <td>-0.024195</td>\n",
       "      <td>-0.032985</td>\n",
       "      <td>-0.009313</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>3705 rows × 6040 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "userID       1         2         3         4         5         6         7      \n",
       "movieID                                                                         \n",
       "1       -1.160564  0.022083  0.028364 -0.036670  0.010661 -0.119183  0.004345  \\\n",
       "2       -0.001246 -0.028122  0.033334  0.026273  0.053652  0.131032  0.016461   \n",
       "3       -0.097136 -0.017016  0.042552 -0.106648 -0.043715 -2.071649  0.015574   \n",
       "4       -0.009243 -0.051772  0.031584  0.033073 -0.105070 -0.704654 -0.021808   \n",
       "5        0.156289 -0.066731  0.009037  0.029768 -0.128125 -2.016073  0.021476   \n",
       "...           ...       ...       ...       ...       ...       ...       ...   \n",
       "3948     0.017408  0.002842 -0.000593 -0.061003  0.001710  0.032908  0.021210   \n",
       "3949     0.039854  0.121307  0.023109 -0.010929  0.059853 -0.061907  0.017327   \n",
       "3950     0.012849  0.038176  0.003944  0.024134 -0.027273 -0.077644 -0.003430   \n",
       "3951     0.017720  0.007328 -0.008199 -0.045781  0.044235 -0.034684  0.000676   \n",
       "3952    -0.002800  0.039720  0.031722  0.070141 -0.029960 -0.007125  0.033815   \n",
       "\n",
       "userID       8         9         10    ...      6031      6032      6033   \n",
       "movieID                                ...                                 \n",
       "1        0.009302 -0.101873 -0.021064  ...  0.837225  0.838601 -0.142644  \\\n",
       "2        0.000925  0.034966 -0.065426  ...  1.829543 -0.040538  0.045047   \n",
       "3        0.028431  0.024898 -0.022109  ... -0.058777 -0.000700  0.122375   \n",
       "4       -0.035704  0.019134  0.048052  ... -0.130900 -0.014292  0.229761   \n",
       "5       -0.001536 -0.130271  0.034735  ...  0.158475 -0.051905 -0.031180   \n",
       "...           ...       ...       ...  ...       ...       ...       ...   \n",
       "3948     0.009632  0.029960 -0.045687  ...  0.340045 -0.639987  0.011169   \n",
       "3949    -0.012032  0.014521 -0.060520  ... -0.021182 -0.014288 -0.087556   \n",
       "3950     0.015284  0.019950 -0.014450  ... -0.060290  0.032047  0.027282   \n",
       "3951    -0.009372 -0.021974 -0.031844  ... -0.042928 -0.023951 -0.059406   \n",
       "3952    -0.065097  0.042281 -0.038918  ...  0.062355  0.024635 -0.121426   \n",
       "\n",
       "userID       6034      6035      6036      6037      6038      6039      6040  \n",
       "movieID                                                                        \n",
       "1        0.001959 -0.108506 -0.009929 -0.000647 -0.009027  0.007581  0.834295  \n",
       "2       -0.004666  0.009122 -0.023605 -0.010271  0.008641 -0.013910 -0.042067  \n",
       "3        0.008281  0.008703  0.011075  0.046345  0.043320  0.038037 -0.046186  \n",
       "4       -0.000473 -0.022622 -0.066460 -0.005177 -0.010767  0.008695 -0.010556  \n",
       "5       -0.030975  0.056620 -0.008660 -0.019941 -0.031178 -0.017010  0.000851  \n",
       "...           ...       ...       ...       ...       ...       ...       ...  \n",
       "3948    -0.011790 -0.024239  0.007488  0.005234  0.025857 -0.041536  0.030911  \n",
       "3949    -0.038569  0.057708  0.052754 -0.024596 -0.058582 -0.034821  0.009079  \n",
       "3950     0.011425 -0.073363 -0.009639 -0.012333  0.052711  0.057892  0.014110  \n",
       "3951     0.028328 -0.004122 -0.016045 -0.000160  0.001901 -0.028764 -0.006173  \n",
       "3952     0.022750  0.075873  0.012525  0.038652 -0.024195 -0.032985 -0.009313  \n",
       "\n",
       "[3705 rows x 6040 columns]"
      ]
     },
     "execution_count": 90,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "results = U.dot(np.diag(S).dot(VT))\n",
    "results = pd.DataFrame(results,columns=scaled_df.columns,index = scaled_df.index)\n",
    "results"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 91,
   "id": "0057b7be",
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
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       "\n",
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       "\n",
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       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th>userID</th>\n",
       "      <th>1</th>\n",
       "      <th>2</th>\n",
       "      <th>3</th>\n",
       "      <th>4</th>\n",
       "      <th>5</th>\n",
       "      <th>6</th>\n",
       "      <th>7</th>\n",
       "      <th>8</th>\n",
       "      <th>9</th>\n",
       "      <th>10</th>\n",
       "      <th>...</th>\n",
       "      <th>6031</th>\n",
       "      <th>6032</th>\n",
       "      <th>6033</th>\n",
       "      <th>6034</th>\n",
       "      <th>6035</th>\n",
       "      <th>6036</th>\n",
       "      <th>6037</th>\n",
       "      <th>6038</th>\n",
       "      <th>6039</th>\n",
       "      <th>6040</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>movieID</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>2.984722</td>\n",
       "      <td>4.167369</td>\n",
       "      <td>4.173651</td>\n",
       "      <td>4.108617</td>\n",
       "      <td>4.155948</td>\n",
       "      <td>4.026104</td>\n",
       "      <td>4.149632</td>\n",
       "      <td>4.154589</td>\n",
       "      <td>4.043414</td>\n",
       "      <td>4.124222</td>\n",
       "      <td>...</td>\n",
       "      <td>4.982511</td>\n",
       "      <td>4.983888</td>\n",
       "      <td>4.002643</td>\n",
       "      <td>4.147245</td>\n",
       "      <td>4.036781</td>\n",
       "      <td>4.135358</td>\n",
       "      <td>4.144639</td>\n",
       "      <td>4.136260</td>\n",
       "      <td>4.152868</td>\n",
       "      <td>4.979582</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>3.198754</td>\n",
       "      <td>3.171878</td>\n",
       "      <td>3.233334</td>\n",
       "      <td>3.226273</td>\n",
       "      <td>3.253652</td>\n",
       "      <td>3.331032</td>\n",
       "      <td>3.216461</td>\n",
       "      <td>3.200925</td>\n",
       "      <td>3.234966</td>\n",
       "      <td>3.134574</td>\n",
       "      <td>...</td>\n",
       "      <td>5.029543</td>\n",
       "      <td>3.159462</td>\n",
       "      <td>3.245047</td>\n",
       "      <td>3.195334</td>\n",
       "      <td>3.209122</td>\n",
       "      <td>3.176395</td>\n",
       "      <td>3.189729</td>\n",
       "      <td>3.208641</td>\n",
       "      <td>3.186090</td>\n",
       "      <td>3.157933</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>2.924005</td>\n",
       "      <td>3.004126</td>\n",
       "      <td>3.063694</td>\n",
       "      <td>2.914493</td>\n",
       "      <td>2.977427</td>\n",
       "      <td>0.949493</td>\n",
       "      <td>3.036716</td>\n",
       "      <td>3.049573</td>\n",
       "      <td>3.046040</td>\n",
       "      <td>2.999032</td>\n",
       "      <td>...</td>\n",
       "      <td>2.962364</td>\n",
       "      <td>3.020441</td>\n",
       "      <td>3.143517</td>\n",
       "      <td>3.029423</td>\n",
       "      <td>3.029844</td>\n",
       "      <td>3.032216</td>\n",
       "      <td>3.067486</td>\n",
       "      <td>3.064462</td>\n",
       "      <td>3.059179</td>\n",
       "      <td>2.974956</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>2.724485</td>\n",
       "      <td>2.681956</td>\n",
       "      <td>2.765312</td>\n",
       "      <td>2.766801</td>\n",
       "      <td>2.628658</td>\n",
       "      <td>2.029073</td>\n",
       "      <td>2.711920</td>\n",
       "      <td>2.698024</td>\n",
       "      <td>2.752862</td>\n",
       "      <td>2.781780</td>\n",
       "      <td>...</td>\n",
       "      <td>2.602828</td>\n",
       "      <td>2.719436</td>\n",
       "      <td>2.963489</td>\n",
       "      <td>2.733255</td>\n",
       "      <td>2.711106</td>\n",
       "      <td>2.667268</td>\n",
       "      <td>2.728551</td>\n",
       "      <td>2.722961</td>\n",
       "      <td>2.742423</td>\n",
       "      <td>2.723172</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>3.173295</td>\n",
       "      <td>2.950275</td>\n",
       "      <td>3.026044</td>\n",
       "      <td>3.046775</td>\n",
       "      <td>2.888882</td>\n",
       "      <td>1.000934</td>\n",
       "      <td>3.038483</td>\n",
       "      <td>3.015471</td>\n",
       "      <td>2.886736</td>\n",
       "      <td>3.051742</td>\n",
       "      <td>...</td>\n",
       "      <td>3.175482</td>\n",
       "      <td>2.965102</td>\n",
       "      <td>2.985827</td>\n",
       "      <td>2.986032</td>\n",
       "      <td>3.073627</td>\n",
       "      <td>3.008347</td>\n",
       "      <td>2.997066</td>\n",
       "      <td>2.985829</td>\n",
       "      <td>2.999997</td>\n",
       "      <td>3.017857</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>3948</th>\n",
       "      <td>3.648430</td>\n",
       "      <td>3.633864</td>\n",
       "      <td>3.630430</td>\n",
       "      <td>3.570020</td>\n",
       "      <td>3.632733</td>\n",
       "      <td>3.663930</td>\n",
       "      <td>3.652232</td>\n",
       "      <td>3.640655</td>\n",
       "      <td>3.660982</td>\n",
       "      <td>3.585336</td>\n",
       "      <td>...</td>\n",
       "      <td>3.971067</td>\n",
       "      <td>2.991035</td>\n",
       "      <td>3.642191</td>\n",
       "      <td>3.619233</td>\n",
       "      <td>3.606784</td>\n",
       "      <td>3.638510</td>\n",
       "      <td>3.636256</td>\n",
       "      <td>3.656879</td>\n",
       "      <td>3.589486</td>\n",
       "      <td>3.661933</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3949</th>\n",
       "      <td>4.169422</td>\n",
       "      <td>4.250875</td>\n",
       "      <td>4.152677</td>\n",
       "      <td>4.118639</td>\n",
       "      <td>4.189421</td>\n",
       "      <td>4.067661</td>\n",
       "      <td>4.146895</td>\n",
       "      <td>4.117536</td>\n",
       "      <td>4.144089</td>\n",
       "      <td>4.069048</td>\n",
       "      <td>...</td>\n",
       "      <td>4.108386</td>\n",
       "      <td>4.115280</td>\n",
       "      <td>4.042012</td>\n",
       "      <td>4.090999</td>\n",
       "      <td>4.187276</td>\n",
       "      <td>4.182322</td>\n",
       "      <td>4.104972</td>\n",
       "      <td>4.070986</td>\n",
       "      <td>4.094748</td>\n",
       "      <td>4.138647</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3950</th>\n",
       "      <td>3.679516</td>\n",
       "      <td>3.704843</td>\n",
       "      <td>3.670611</td>\n",
       "      <td>3.690801</td>\n",
       "      <td>3.639393</td>\n",
       "      <td>3.589023</td>\n",
       "      <td>3.663237</td>\n",
       "      <td>3.681950</td>\n",
       "      <td>3.686617</td>\n",
       "      <td>3.652217</td>\n",
       "      <td>...</td>\n",
       "      <td>3.606377</td>\n",
       "      <td>3.698714</td>\n",
       "      <td>3.693948</td>\n",
       "      <td>3.678091</td>\n",
       "      <td>3.593304</td>\n",
       "      <td>3.657028</td>\n",
       "      <td>3.654333</td>\n",
       "      <td>3.719377</td>\n",
       "      <td>3.724558</td>\n",
       "      <td>3.680776</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3951</th>\n",
       "      <td>3.917720</td>\n",
       "      <td>3.907328</td>\n",
       "      <td>3.891801</td>\n",
       "      <td>3.854219</td>\n",
       "      <td>3.944235</td>\n",
       "      <td>3.865316</td>\n",
       "      <td>3.900676</td>\n",
       "      <td>3.890628</td>\n",
       "      <td>3.878026</td>\n",
       "      <td>3.868156</td>\n",
       "      <td>...</td>\n",
       "      <td>3.857072</td>\n",
       "      <td>3.876049</td>\n",
       "      <td>3.840594</td>\n",
       "      <td>3.928328</td>\n",
       "      <td>3.895878</td>\n",
       "      <td>3.883955</td>\n",
       "      <td>3.899840</td>\n",
       "      <td>3.901901</td>\n",
       "      <td>3.871236</td>\n",
       "      <td>3.893827</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3952</th>\n",
       "      <td>3.779018</td>\n",
       "      <td>3.821538</td>\n",
       "      <td>3.813541</td>\n",
       "      <td>3.851960</td>\n",
       "      <td>3.751858</td>\n",
       "      <td>3.774693</td>\n",
       "      <td>3.815633</td>\n",
       "      <td>3.716721</td>\n",
       "      <td>3.824099</td>\n",
       "      <td>3.742900</td>\n",
       "      <td>...</td>\n",
       "      <td>3.844173</td>\n",
       "      <td>3.806453</td>\n",
       "      <td>3.660392</td>\n",
       "      <td>3.804568</td>\n",
       "      <td>3.857692</td>\n",
       "      <td>3.794343</td>\n",
       "      <td>3.820470</td>\n",
       "      <td>3.757623</td>\n",
       "      <td>3.748834</td>\n",
       "      <td>3.772505</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>3705 rows × 6040 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "userID       1         2         3         4         5         6         7      \n",
       "movieID                                                                         \n",
       "1        2.984722  4.167369  4.173651  4.108617  4.155948  4.026104  4.149632  \\\n",
       "2        3.198754  3.171878  3.233334  3.226273  3.253652  3.331032  3.216461   \n",
       "3        2.924005  3.004126  3.063694  2.914493  2.977427  0.949493  3.036716   \n",
       "4        2.724485  2.681956  2.765312  2.766801  2.628658  2.029073  2.711920   \n",
       "5        3.173295  2.950275  3.026044  3.046775  2.888882  1.000934  3.038483   \n",
       "...           ...       ...       ...       ...       ...       ...       ...   \n",
       "3948     3.648430  3.633864  3.630430  3.570020  3.632733  3.663930  3.652232   \n",
       "3949     4.169422  4.250875  4.152677  4.118639  4.189421  4.067661  4.146895   \n",
       "3950     3.679516  3.704843  3.670611  3.690801  3.639393  3.589023  3.663237   \n",
       "3951     3.917720  3.907328  3.891801  3.854219  3.944235  3.865316  3.900676   \n",
       "3952     3.779018  3.821538  3.813541  3.851960  3.751858  3.774693  3.815633   \n",
       "\n",
       "userID       8         9         10    ...      6031      6032      6033   \n",
       "movieID                                ...                                 \n",
       "1        4.154589  4.043414  4.124222  ...  4.982511  4.983888  4.002643  \\\n",
       "2        3.200925  3.234966  3.134574  ...  5.029543  3.159462  3.245047   \n",
       "3        3.049573  3.046040  2.999032  ...  2.962364  3.020441  3.143517   \n",
       "4        2.698024  2.752862  2.781780  ...  2.602828  2.719436  2.963489   \n",
       "5        3.015471  2.886736  3.051742  ...  3.175482  2.965102  2.985827   \n",
       "...           ...       ...       ...  ...       ...       ...       ...   \n",
       "3948     3.640655  3.660982  3.585336  ...  3.971067  2.991035  3.642191   \n",
       "3949     4.117536  4.144089  4.069048  ...  4.108386  4.115280  4.042012   \n",
       "3950     3.681950  3.686617  3.652217  ...  3.606377  3.698714  3.693948   \n",
       "3951     3.890628  3.878026  3.868156  ...  3.857072  3.876049  3.840594   \n",
       "3952     3.716721  3.824099  3.742900  ...  3.844173  3.806453  3.660392   \n",
       "\n",
       "userID       6034      6035      6036      6037      6038      6039      6040  \n",
       "movieID                                                                        \n",
       "1        4.147245  4.036781  4.135358  4.144639  4.136260  4.152868  4.979582  \n",
       "2        3.195334  3.209122  3.176395  3.189729  3.208641  3.186090  3.157933  \n",
       "3        3.029423  3.029844  3.032216  3.067486  3.064462  3.059179  2.974956  \n",
       "4        2.733255  2.711106  2.667268  2.728551  2.722961  2.742423  2.723172  \n",
       "5        2.986032  3.073627  3.008347  2.997066  2.985829  2.999997  3.017857  \n",
       "...           ...       ...       ...       ...       ...       ...       ...  \n",
       "3948     3.619233  3.606784  3.638510  3.636256  3.656879  3.589486  3.661933  \n",
       "3949     4.090999  4.187276  4.182322  4.104972  4.070986  4.094748  4.138647  \n",
       "3950     3.678091  3.593304  3.657028  3.654333  3.719377  3.724558  3.680776  \n",
       "3951     3.928328  3.895878  3.883955  3.899840  3.901901  3.871236  3.893827  \n",
       "3952     3.804568  3.857692  3.794343  3.820470  3.757623  3.748834  3.772505  \n",
       "\n",
       "[3705 rows x 6040 columns]"
      ]
     },
     "execution_count": 91,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "results2 = results + pivot_ii.mean(axis=1).values.reshape(-1, 1)\n",
    "results2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 92,
   "id": "34312846",
   "metadata": {},
   "outputs": [],
   "source": [
    "for i in results2.columns:\n",
    "    results2[i] = np.where(results2[i] < 1, 1, results2[i])\n",
    "    results2[i] = np.where(results2[i] > 5, 5, results2[i])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 93,
   "id": "7c17ba52",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
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       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th>userID</th>\n",
       "      <th>1</th>\n",
       "      <th>2</th>\n",
       "      <th>3</th>\n",
       "      <th>4</th>\n",
       "      <th>5</th>\n",
       "      <th>6</th>\n",
       "      <th>7</th>\n",
       "      <th>8</th>\n",
       "      <th>9</th>\n",
       "      <th>10</th>\n",
       "      <th>...</th>\n",
       "      <th>6031</th>\n",
       "      <th>6032</th>\n",
       "      <th>6033</th>\n",
       "      <th>6034</th>\n",
       "      <th>6035</th>\n",
       "      <th>6036</th>\n",
       "      <th>6037</th>\n",
       "      <th>6038</th>\n",
       "      <th>6039</th>\n",
       "      <th>6040</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>movieID</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>2.984722</td>\n",
       "      <td>4.167369</td>\n",
       "      <td>4.173651</td>\n",
       "      <td>4.108617</td>\n",
       "      <td>4.155948</td>\n",
       "      <td>4.026104</td>\n",
       "      <td>4.149632</td>\n",
       "      <td>4.154589</td>\n",
       "      <td>4.043414</td>\n",
       "      <td>4.124222</td>\n",
       "      <td>...</td>\n",
       "      <td>4.982511</td>\n",
       "      <td>4.983888</td>\n",
       "      <td>4.002643</td>\n",
       "      <td>4.147245</td>\n",
       "      <td>4.036781</td>\n",
       "      <td>4.135358</td>\n",
       "      <td>4.144639</td>\n",
       "      <td>4.136260</td>\n",
       "      <td>4.152868</td>\n",
       "      <td>4.979582</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>3.198754</td>\n",
       "      <td>3.171878</td>\n",
       "      <td>3.233334</td>\n",
       "      <td>3.226273</td>\n",
       "      <td>3.253652</td>\n",
       "      <td>3.331032</td>\n",
       "      <td>3.216461</td>\n",
       "      <td>3.200925</td>\n",
       "      <td>3.234966</td>\n",
       "      <td>3.134574</td>\n",
       "      <td>...</td>\n",
       "      <td>5.000000</td>\n",
       "      <td>3.159462</td>\n",
       "      <td>3.245047</td>\n",
       "      <td>3.195334</td>\n",
       "      <td>3.209122</td>\n",
       "      <td>3.176395</td>\n",
       "      <td>3.189729</td>\n",
       "      <td>3.208641</td>\n",
       "      <td>3.186090</td>\n",
       "      <td>3.157933</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>2.924005</td>\n",
       "      <td>3.004126</td>\n",
       "      <td>3.063694</td>\n",
       "      <td>2.914493</td>\n",
       "      <td>2.977427</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>3.036716</td>\n",
       "      <td>3.049573</td>\n",
       "      <td>3.046040</td>\n",
       "      <td>2.999032</td>\n",
       "      <td>...</td>\n",
       "      <td>2.962364</td>\n",
       "      <td>3.020441</td>\n",
       "      <td>3.143517</td>\n",
       "      <td>3.029423</td>\n",
       "      <td>3.029844</td>\n",
       "      <td>3.032216</td>\n",
       "      <td>3.067486</td>\n",
       "      <td>3.064462</td>\n",
       "      <td>3.059179</td>\n",
       "      <td>2.974956</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>2.724485</td>\n",
       "      <td>2.681956</td>\n",
       "      <td>2.765312</td>\n",
       "      <td>2.766801</td>\n",
       "      <td>2.628658</td>\n",
       "      <td>2.029073</td>\n",
       "      <td>2.711920</td>\n",
       "      <td>2.698024</td>\n",
       "      <td>2.752862</td>\n",
       "      <td>2.781780</td>\n",
       "      <td>...</td>\n",
       "      <td>2.602828</td>\n",
       "      <td>2.719436</td>\n",
       "      <td>2.963489</td>\n",
       "      <td>2.733255</td>\n",
       "      <td>2.711106</td>\n",
       "      <td>2.667268</td>\n",
       "      <td>2.728551</td>\n",
       "      <td>2.722961</td>\n",
       "      <td>2.742423</td>\n",
       "      <td>2.723172</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>3.173295</td>\n",
       "      <td>2.950275</td>\n",
       "      <td>3.026044</td>\n",
       "      <td>3.046775</td>\n",
       "      <td>2.888882</td>\n",
       "      <td>1.000934</td>\n",
       "      <td>3.038483</td>\n",
       "      <td>3.015471</td>\n",
       "      <td>2.886736</td>\n",
       "      <td>3.051742</td>\n",
       "      <td>...</td>\n",
       "      <td>3.175482</td>\n",
       "      <td>2.965102</td>\n",
       "      <td>2.985827</td>\n",
       "      <td>2.986032</td>\n",
       "      <td>3.073627</td>\n",
       "      <td>3.008347</td>\n",
       "      <td>2.997066</td>\n",
       "      <td>2.985829</td>\n",
       "      <td>2.999997</td>\n",
       "      <td>3.017857</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>3948</th>\n",
       "      <td>3.648430</td>\n",
       "      <td>3.633864</td>\n",
       "      <td>3.630430</td>\n",
       "      <td>3.570020</td>\n",
       "      <td>3.632733</td>\n",
       "      <td>3.663930</td>\n",
       "      <td>3.652232</td>\n",
       "      <td>3.640655</td>\n",
       "      <td>3.660982</td>\n",
       "      <td>3.585336</td>\n",
       "      <td>...</td>\n",
       "      <td>3.971067</td>\n",
       "      <td>2.991035</td>\n",
       "      <td>3.642191</td>\n",
       "      <td>3.619233</td>\n",
       "      <td>3.606784</td>\n",
       "      <td>3.638510</td>\n",
       "      <td>3.636256</td>\n",
       "      <td>3.656879</td>\n",
       "      <td>3.589486</td>\n",
       "      <td>3.661933</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3949</th>\n",
       "      <td>4.169422</td>\n",
       "      <td>4.250875</td>\n",
       "      <td>4.152677</td>\n",
       "      <td>4.118639</td>\n",
       "      <td>4.189421</td>\n",
       "      <td>4.067661</td>\n",
       "      <td>4.146895</td>\n",
       "      <td>4.117536</td>\n",
       "      <td>4.144089</td>\n",
       "      <td>4.069048</td>\n",
       "      <td>...</td>\n",
       "      <td>4.108386</td>\n",
       "      <td>4.115280</td>\n",
       "      <td>4.042012</td>\n",
       "      <td>4.090999</td>\n",
       "      <td>4.187276</td>\n",
       "      <td>4.182322</td>\n",
       "      <td>4.104972</td>\n",
       "      <td>4.070986</td>\n",
       "      <td>4.094748</td>\n",
       "      <td>4.138647</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3950</th>\n",
       "      <td>3.679516</td>\n",
       "      <td>3.704843</td>\n",
       "      <td>3.670611</td>\n",
       "      <td>3.690801</td>\n",
       "      <td>3.639393</td>\n",
       "      <td>3.589023</td>\n",
       "      <td>3.663237</td>\n",
       "      <td>3.681950</td>\n",
       "      <td>3.686617</td>\n",
       "      <td>3.652217</td>\n",
       "      <td>...</td>\n",
       "      <td>3.606377</td>\n",
       "      <td>3.698714</td>\n",
       "      <td>3.693948</td>\n",
       "      <td>3.678091</td>\n",
       "      <td>3.593304</td>\n",
       "      <td>3.657028</td>\n",
       "      <td>3.654333</td>\n",
       "      <td>3.719377</td>\n",
       "      <td>3.724558</td>\n",
       "      <td>3.680776</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3951</th>\n",
       "      <td>3.917720</td>\n",
       "      <td>3.907328</td>\n",
       "      <td>3.891801</td>\n",
       "      <td>3.854219</td>\n",
       "      <td>3.944235</td>\n",
       "      <td>3.865316</td>\n",
       "      <td>3.900676</td>\n",
       "      <td>3.890628</td>\n",
       "      <td>3.878026</td>\n",
       "      <td>3.868156</td>\n",
       "      <td>...</td>\n",
       "      <td>3.857072</td>\n",
       "      <td>3.876049</td>\n",
       "      <td>3.840594</td>\n",
       "      <td>3.928328</td>\n",
       "      <td>3.895878</td>\n",
       "      <td>3.883955</td>\n",
       "      <td>3.899840</td>\n",
       "      <td>3.901901</td>\n",
       "      <td>3.871236</td>\n",
       "      <td>3.893827</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3952</th>\n",
       "      <td>3.779018</td>\n",
       "      <td>3.821538</td>\n",
       "      <td>3.813541</td>\n",
       "      <td>3.851960</td>\n",
       "      <td>3.751858</td>\n",
       "      <td>3.774693</td>\n",
       "      <td>3.815633</td>\n",
       "      <td>3.716721</td>\n",
       "      <td>3.824099</td>\n",
       "      <td>3.742900</td>\n",
       "      <td>...</td>\n",
       "      <td>3.844173</td>\n",
       "      <td>3.806453</td>\n",
       "      <td>3.660392</td>\n",
       "      <td>3.804568</td>\n",
       "      <td>3.857692</td>\n",
       "      <td>3.794343</td>\n",
       "      <td>3.820470</td>\n",
       "      <td>3.757623</td>\n",
       "      <td>3.748834</td>\n",
       "      <td>3.772505</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>3705 rows × 6040 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "userID       1         2         3         4         5         6         7      \n",
       "movieID                                                                         \n",
       "1        2.984722  4.167369  4.173651  4.108617  4.155948  4.026104  4.149632  \\\n",
       "2        3.198754  3.171878  3.233334  3.226273  3.253652  3.331032  3.216461   \n",
       "3        2.924005  3.004126  3.063694  2.914493  2.977427  1.000000  3.036716   \n",
       "4        2.724485  2.681956  2.765312  2.766801  2.628658  2.029073  2.711920   \n",
       "5        3.173295  2.950275  3.026044  3.046775  2.888882  1.000934  3.038483   \n",
       "...           ...       ...       ...       ...       ...       ...       ...   \n",
       "3948     3.648430  3.633864  3.630430  3.570020  3.632733  3.663930  3.652232   \n",
       "3949     4.169422  4.250875  4.152677  4.118639  4.189421  4.067661  4.146895   \n",
       "3950     3.679516  3.704843  3.670611  3.690801  3.639393  3.589023  3.663237   \n",
       "3951     3.917720  3.907328  3.891801  3.854219  3.944235  3.865316  3.900676   \n",
       "3952     3.779018  3.821538  3.813541  3.851960  3.751858  3.774693  3.815633   \n",
       "\n",
       "userID       8         9         10    ...      6031      6032      6033   \n",
       "movieID                                ...                                 \n",
       "1        4.154589  4.043414  4.124222  ...  4.982511  4.983888  4.002643  \\\n",
       "2        3.200925  3.234966  3.134574  ...  5.000000  3.159462  3.245047   \n",
       "3        3.049573  3.046040  2.999032  ...  2.962364  3.020441  3.143517   \n",
       "4        2.698024  2.752862  2.781780  ...  2.602828  2.719436  2.963489   \n",
       "5        3.015471  2.886736  3.051742  ...  3.175482  2.965102  2.985827   \n",
       "...           ...       ...       ...  ...       ...       ...       ...   \n",
       "3948     3.640655  3.660982  3.585336  ...  3.971067  2.991035  3.642191   \n",
       "3949     4.117536  4.144089  4.069048  ...  4.108386  4.115280  4.042012   \n",
       "3950     3.681950  3.686617  3.652217  ...  3.606377  3.698714  3.693948   \n",
       "3951     3.890628  3.878026  3.868156  ...  3.857072  3.876049  3.840594   \n",
       "3952     3.716721  3.824099  3.742900  ...  3.844173  3.806453  3.660392   \n",
       "\n",
       "userID       6034      6035      6036      6037      6038      6039      6040  \n",
       "movieID                                                                        \n",
       "1        4.147245  4.036781  4.135358  4.144639  4.136260  4.152868  4.979582  \n",
       "2        3.195334  3.209122  3.176395  3.189729  3.208641  3.186090  3.157933  \n",
       "3        3.029423  3.029844  3.032216  3.067486  3.064462  3.059179  2.974956  \n",
       "4        2.733255  2.711106  2.667268  2.728551  2.722961  2.742423  2.723172  \n",
       "5        2.986032  3.073627  3.008347  2.997066  2.985829  2.999997  3.017857  \n",
       "...           ...       ...       ...       ...       ...       ...       ...  \n",
       "3948     3.619233  3.606784  3.638510  3.636256  3.656879  3.589486  3.661933  \n",
       "3949     4.090999  4.187276  4.182322  4.104972  4.070986  4.094748  4.138647  \n",
       "3950     3.678091  3.593304  3.657028  3.654333  3.719377  3.724558  3.680776  \n",
       "3951     3.928328  3.895878  3.883955  3.899840  3.901901  3.871236  3.893827  \n",
       "3952     3.804568  3.857692  3.794343  3.820470  3.757623  3.748834  3.772505  \n",
       "\n",
       "[3705 rows x 6040 columns]"
      ]
     },
     "execution_count": 93,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "results2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 94,
   "id": "225b701e",
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
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       "      <th></th>\n",
       "      <th>IDs</th>\n",
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       "    <tr>\n",
       "      <th>...</th>\n",
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       "      <th>9994</th>\n",
       "      <td>4198_3671</td>\n",
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       "      <td>566_3148</td>\n",
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       "      <th>9996</th>\n",
       "      <td>5531_2105</td>\n",
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       "      <th>9997</th>\n",
       "      <td>4650_377</td>\n",
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       "      <th>9998</th>\n",
       "      <td>4919_2094</td>\n",
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       "</table>\n",
       "<p>9999 rows × 1 columns</p>\n",
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      ],
      "text/plain": [
       "            IDs\n",
       "0      629_2683\n",
       "1       601_904\n",
       "2     5673_3717\n",
       "3     5616_1721\n",
       "4     1099_3697\n",
       "...         ...\n",
       "9994  4198_3671\n",
       "9995   566_3148\n",
       "9996  5531_2105\n",
       "9997   4650_377\n",
       "9998  4919_2094\n",
       "\n",
       "[9999 rows x 1 columns]"
      ]
     },
     "execution_count": 94,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "test_no_label_svd = pd.read_csv(\"test_without_labels.csv\")\n",
    "test_no_label_svd"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 95,
   "id": "37eb7bbb",
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/html": [
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       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>IDs</th>\n",
       "      <th>userID</th>\n",
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       "      <th>0</th>\n",
       "      <td>629_2683</td>\n",
       "      <td>629</td>\n",
       "      <td>2683</td>\n",
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       "      <th>1</th>\n",
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      ],
      "text/plain": [
       "         IDs  userID  movieID\n",
       "0   629_2683     629     2683\n",
       "1    601_904     601      904\n",
       "2  5673_3717    5673     3717\n",
       "3  5616_1721    5616     1721\n",
       "4  1099_3697    1099     3697"
      ]
     },
     "execution_count": 95,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "test_no_label_svd[\"userID\"] = test_no_label_svd.IDs.str.split('_').str[0].astype(int)\n",
    "test_no_label_svd[\"movieID\"] = test_no_label_svd.IDs.str.split('_').str[1].astype(int)\n",
    "test_no_label_svd.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 96,
   "id": "b8e9ba49",
   "metadata": {},
   "outputs": [],
   "source": [
    "test_no_label_svd2 = test_no_label_svd.drop(\"IDs\",axis=1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 97,
   "id": "28a8e06e",
   "metadata": {},
   "outputs": [],
   "source": [
    "pred_ratings = []\n",
    "for userId,movie in test_no_label_svd2.itertuples(index=False):\n",
    "    pred = results2.loc[movie,userId]\n",
    "    pred_ratings.append(pred)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 98,
   "id": "97ac5a5d",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "9999"
      ]
     },
     "execution_count": 98,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "len(pred_ratings)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 99,
   "id": "99fb2163",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "3.584499680650508"
      ]
     },
     "execution_count": 99,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "sum(pred_ratings) / len(pred_ratings)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 101,
   "id": "89a30629",
   "metadata": {},
   "outputs": [],
   "source": [
    "test_no_label_svd[\"rating\"] = pred_ratings\n",
    "test_no_label_svd.drop(columns=[\"userID\",\"movieID\"],axis=1,inplace=True)\n",
    "test_no_label_svd.to_csv(\"result_svd_2804.csv\", index=False)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "89c32948",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
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