E14_Scaling technique for kpca model.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "430256cd",
   "metadata": {},
   "outputs": [],
   "source": [
    "import pandas as pd"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "d13aa740",
   "metadata": {},
   "outputs": [],
   "source": [
    "train_normal = pd.read_csv('./data/normal_training.csv')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "483c95f9",
   "metadata": {},
   "outputs": [],
   "source": [
    "df_train = train_normal[(train_normal.simulationRun>=1)].iloc[:500,3:]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "336ff912",
   "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></th>\n",
       "      <th>xmeas_1</th>\n",
       "      <th>xmeas_2</th>\n",
       "      <th>xmeas_3</th>\n",
       "      <th>xmeas_4</th>\n",
       "      <th>xmeas_5</th>\n",
       "      <th>xmeas_6</th>\n",
       "      <th>xmeas_7</th>\n",
       "      <th>xmeas_8</th>\n",
       "      <th>xmeas_9</th>\n",
       "      <th>xmeas_10</th>\n",
       "      <th>...</th>\n",
       "      <th>xmv_2</th>\n",
       "      <th>xmv_3</th>\n",
       "      <th>xmv_4</th>\n",
       "      <th>xmv_5</th>\n",
       "      <th>xmv_6</th>\n",
       "      <th>xmv_7</th>\n",
       "      <th>xmv_8</th>\n",
       "      <th>xmv_9</th>\n",
       "      <th>xmv_10</th>\n",
       "      <th>xmv_11</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>0.25038</td>\n",
       "      <td>3674.0</td>\n",
       "      <td>4529.0</td>\n",
       "      <td>9.2320</td>\n",
       "      <td>26.889</td>\n",
       "      <td>42.402</td>\n",
       "      <td>2704.3</td>\n",
       "      <td>74.863</td>\n",
       "      <td>120.41</td>\n",
       "      <td>0.33818</td>\n",
       "      <td>...</td>\n",
       "      <td>53.744</td>\n",
       "      <td>24.657</td>\n",
       "      <td>62.544</td>\n",
       "      <td>22.137</td>\n",
       "      <td>39.935</td>\n",
       "      <td>42.323</td>\n",
       "      <td>47.757</td>\n",
       "      <td>47.510</td>\n",
       "      <td>41.258</td>\n",
       "      <td>18.447</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>0.25109</td>\n",
       "      <td>3659.4</td>\n",
       "      <td>4556.6</td>\n",
       "      <td>9.4264</td>\n",
       "      <td>26.721</td>\n",
       "      <td>42.576</td>\n",
       "      <td>2705.0</td>\n",
       "      <td>75.000</td>\n",
       "      <td>120.41</td>\n",
       "      <td>0.33620</td>\n",
       "      <td>...</td>\n",
       "      <td>53.414</td>\n",
       "      <td>24.588</td>\n",
       "      <td>59.259</td>\n",
       "      <td>22.084</td>\n",
       "      <td>40.176</td>\n",
       "      <td>38.554</td>\n",
       "      <td>43.692</td>\n",
       "      <td>47.427</td>\n",
       "      <td>41.359</td>\n",
       "      <td>17.194</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>0.25038</td>\n",
       "      <td>3660.3</td>\n",
       "      <td>4477.8</td>\n",
       "      <td>9.4426</td>\n",
       "      <td>26.875</td>\n",
       "      <td>42.070</td>\n",
       "      <td>2706.2</td>\n",
       "      <td>74.771</td>\n",
       "      <td>120.42</td>\n",
       "      <td>0.33563</td>\n",
       "      <td>...</td>\n",
       "      <td>54.357</td>\n",
       "      <td>24.666</td>\n",
       "      <td>61.275</td>\n",
       "      <td>22.380</td>\n",
       "      <td>40.244</td>\n",
       "      <td>38.990</td>\n",
       "      <td>46.699</td>\n",
       "      <td>47.468</td>\n",
       "      <td>41.199</td>\n",
       "      <td>20.530</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>0.24977</td>\n",
       "      <td>3661.3</td>\n",
       "      <td>4512.1</td>\n",
       "      <td>9.4776</td>\n",
       "      <td>26.758</td>\n",
       "      <td>42.063</td>\n",
       "      <td>2707.2</td>\n",
       "      <td>75.224</td>\n",
       "      <td>120.39</td>\n",
       "      <td>0.33553</td>\n",
       "      <td>...</td>\n",
       "      <td>53.946</td>\n",
       "      <td>24.725</td>\n",
       "      <td>59.856</td>\n",
       "      <td>22.277</td>\n",
       "      <td>40.257</td>\n",
       "      <td>38.072</td>\n",
       "      <td>47.541</td>\n",
       "      <td>47.658</td>\n",
       "      <td>41.643</td>\n",
       "      <td>18.089</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>0.29405</td>\n",
       "      <td>3679.0</td>\n",
       "      <td>4497.0</td>\n",
       "      <td>9.3381</td>\n",
       "      <td>26.889</td>\n",
       "      <td>42.650</td>\n",
       "      <td>2705.1</td>\n",
       "      <td>75.388</td>\n",
       "      <td>120.39</td>\n",
       "      <td>0.32632</td>\n",
       "      <td>...</td>\n",
       "      <td>53.658</td>\n",
       "      <td>28.797</td>\n",
       "      <td>60.717</td>\n",
       "      <td>21.947</td>\n",
       "      <td>39.144</td>\n",
       "      <td>41.955</td>\n",
       "      <td>47.645</td>\n",
       "      <td>47.346</td>\n",
       "      <td>41.507</td>\n",
       "      <td>18.461</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>495</th>\n",
       "      <td>0.24602</td>\n",
       "      <td>3651.9</td>\n",
       "      <td>4504.4</td>\n",
       "      <td>9.4721</td>\n",
       "      <td>26.600</td>\n",
       "      <td>42.312</td>\n",
       "      <td>2707.2</td>\n",
       "      <td>74.623</td>\n",
       "      <td>120.40</td>\n",
       "      <td>0.32381</td>\n",
       "      <td>...</td>\n",
       "      <td>54.132</td>\n",
       "      <td>23.663</td>\n",
       "      <td>59.588</td>\n",
       "      <td>22.481</td>\n",
       "      <td>38.952</td>\n",
       "      <td>33.489</td>\n",
       "      <td>45.203</td>\n",
       "      <td>49.900</td>\n",
       "      <td>41.057</td>\n",
       "      <td>16.448</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>496</th>\n",
       "      <td>0.23457</td>\n",
       "      <td>3663.0</td>\n",
       "      <td>4529.5</td>\n",
       "      <td>9.3440</td>\n",
       "      <td>26.872</td>\n",
       "      <td>42.434</td>\n",
       "      <td>2704.1</td>\n",
       "      <td>75.123</td>\n",
       "      <td>120.40</td>\n",
       "      <td>0.35454</td>\n",
       "      <td>...</td>\n",
       "      <td>54.028</td>\n",
       "      <td>22.776</td>\n",
       "      <td>60.566</td>\n",
       "      <td>22.237</td>\n",
       "      <td>42.978</td>\n",
       "      <td>38.017</td>\n",
       "      <td>42.637</td>\n",
       "      <td>50.075</td>\n",
       "      <td>41.339</td>\n",
       "      <td>17.435</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>497</th>\n",
       "      <td>0.23068</td>\n",
       "      <td>3656.4</td>\n",
       "      <td>4493.0</td>\n",
       "      <td>9.2978</td>\n",
       "      <td>26.920</td>\n",
       "      <td>42.536</td>\n",
       "      <td>2700.3</td>\n",
       "      <td>74.942</td>\n",
       "      <td>120.39</td>\n",
       "      <td>0.35859</td>\n",
       "      <td>...</td>\n",
       "      <td>54.465</td>\n",
       "      <td>23.158</td>\n",
       "      <td>62.102</td>\n",
       "      <td>21.639</td>\n",
       "      <td>42.483</td>\n",
       "      <td>41.016</td>\n",
       "      <td>46.782</td>\n",
       "      <td>50.098</td>\n",
       "      <td>41.277</td>\n",
       "      <td>18.315</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>498</th>\n",
       "      <td>0.24263</td>\n",
       "      <td>3632.5</td>\n",
       "      <td>4521.5</td>\n",
       "      <td>9.3915</td>\n",
       "      <td>26.956</td>\n",
       "      <td>42.317</td>\n",
       "      <td>2701.9</td>\n",
       "      <td>74.900</td>\n",
       "      <td>120.37</td>\n",
       "      <td>0.34057</td>\n",
       "      <td>...</td>\n",
       "      <td>54.532</td>\n",
       "      <td>23.386</td>\n",
       "      <td>63.164</td>\n",
       "      <td>22.661</td>\n",
       "      <td>39.558</td>\n",
       "      <td>37.892</td>\n",
       "      <td>47.468</td>\n",
       "      <td>50.312</td>\n",
       "      <td>40.557</td>\n",
       "      <td>19.198</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>499</th>\n",
       "      <td>0.23958</td>\n",
       "      <td>3629.7</td>\n",
       "      <td>4566.3</td>\n",
       "      <td>9.5071</td>\n",
       "      <td>27.219</td>\n",
       "      <td>42.757</td>\n",
       "      <td>2703.8</td>\n",
       "      <td>75.726</td>\n",
       "      <td>120.39</td>\n",
       "      <td>0.33665</td>\n",
       "      <td>...</td>\n",
       "      <td>53.996</td>\n",
       "      <td>23.686</td>\n",
       "      <td>59.553</td>\n",
       "      <td>22.749</td>\n",
       "      <td>40.036</td>\n",
       "      <td>37.977</td>\n",
       "      <td>52.375</td>\n",
       "      <td>50.728</td>\n",
       "      <td>41.145</td>\n",
       "      <td>19.029</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>500 rows × 52 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "     xmeas_1  xmeas_2  xmeas_3  xmeas_4  xmeas_5  xmeas_6  xmeas_7  xmeas_8  \\\n",
       "0    0.25038   3674.0   4529.0   9.2320   26.889   42.402   2704.3   74.863   \n",
       "1    0.25109   3659.4   4556.6   9.4264   26.721   42.576   2705.0   75.000   \n",
       "2    0.25038   3660.3   4477.8   9.4426   26.875   42.070   2706.2   74.771   \n",
       "3    0.24977   3661.3   4512.1   9.4776   26.758   42.063   2707.2   75.224   \n",
       "4    0.29405   3679.0   4497.0   9.3381   26.889   42.650   2705.1   75.388   \n",
       "..       ...      ...      ...      ...      ...      ...      ...      ...   \n",
       "495  0.24602   3651.9   4504.4   9.4721   26.600   42.312   2707.2   74.623   \n",
       "496  0.23457   3663.0   4529.5   9.3440   26.872   42.434   2704.1   75.123   \n",
       "497  0.23068   3656.4   4493.0   9.2978   26.920   42.536   2700.3   74.942   \n",
       "498  0.24263   3632.5   4521.5   9.3915   26.956   42.317   2701.9   74.900   \n",
       "499  0.23958   3629.7   4566.3   9.5071   27.219   42.757   2703.8   75.726   \n",
       "\n",
       "     xmeas_9  xmeas_10  ...   xmv_2   xmv_3   xmv_4   xmv_5   xmv_6   xmv_7  \\\n",
       "0     120.41   0.33818  ...  53.744  24.657  62.544  22.137  39.935  42.323   \n",
       "1     120.41   0.33620  ...  53.414  24.588  59.259  22.084  40.176  38.554   \n",
       "2     120.42   0.33563  ...  54.357  24.666  61.275  22.380  40.244  38.990   \n",
       "3     120.39   0.33553  ...  53.946  24.725  59.856  22.277  40.257  38.072   \n",
       "4     120.39   0.32632  ...  53.658  28.797  60.717  21.947  39.144  41.955   \n",
       "..       ...       ...  ...     ...     ...     ...     ...     ...     ...   \n",
       "495   120.40   0.32381  ...  54.132  23.663  59.588  22.481  38.952  33.489   \n",
       "496   120.40   0.35454  ...  54.028  22.776  60.566  22.237  42.978  38.017   \n",
       "497   120.39   0.35859  ...  54.465  23.158  62.102  21.639  42.483  41.016   \n",
       "498   120.37   0.34057  ...  54.532  23.386  63.164  22.661  39.558  37.892   \n",
       "499   120.39   0.33665  ...  53.996  23.686  59.553  22.749  40.036  37.977   \n",
       "\n",
       "      xmv_8   xmv_9  xmv_10  xmv_11  \n",
       "0    47.757  47.510  41.258  18.447  \n",
       "1    43.692  47.427  41.359  17.194  \n",
       "2    46.699  47.468  41.199  20.530  \n",
       "3    47.541  47.658  41.643  18.089  \n",
       "4    47.645  47.346  41.507  18.461  \n",
       "..      ...     ...     ...     ...  \n",
       "495  45.203  49.900  41.057  16.448  \n",
       "496  42.637  50.075  41.339  17.435  \n",
       "497  46.782  50.098  41.277  18.315  \n",
       "498  47.468  50.312  40.557  19.198  \n",
       "499  52.375  50.728  41.145  19.029  \n",
       "\n",
       "[500 rows x 52 columns]"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df_train"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "fe29da51",
   "metadata": {},
   "source": [
    "## Normalizer"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "70cb311c",
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.preprocessing import Normalizer"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "b567df96",
   "metadata": {},
   "outputs": [],
   "source": [
    "df_norm = Normalizer().fit(df_train)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "6b16e6e0",
   "metadata": {},
   "outputs": [],
   "source": [
    "df_norm = df_norm.transform(df_train)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "07eb5045",
   "metadata": {},
   "outputs": [],
   "source": [
    "df_norm = pd.DataFrame(df_norm)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "642872b4",
   "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></th>\n",
       "      <th>0</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>...</th>\n",
       "      <th>42</th>\n",
       "      <th>43</th>\n",
       "      <th>44</th>\n",
       "      <th>45</th>\n",
       "      <th>46</th>\n",
       "      <th>47</th>\n",
       "      <th>48</th>\n",
       "      <th>49</th>\n",
       "      <th>50</th>\n",
       "      <th>51</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>0.000033</td>\n",
       "      <td>0.481892</td>\n",
       "      <td>0.594036</td>\n",
       "      <td>0.001211</td>\n",
       "      <td>0.003527</td>\n",
       "      <td>0.005562</td>\n",
       "      <td>0.354703</td>\n",
       "      <td>0.009819</td>\n",
       "      <td>0.015793</td>\n",
       "      <td>0.000044</td>\n",
       "      <td>...</td>\n",
       "      <td>0.007049</td>\n",
       "      <td>0.003234</td>\n",
       "      <td>0.008203</td>\n",
       "      <td>0.002904</td>\n",
       "      <td>0.005238</td>\n",
       "      <td>0.005551</td>\n",
       "      <td>0.006264</td>\n",
       "      <td>0.006232</td>\n",
       "      <td>0.005412</td>\n",
       "      <td>0.002420</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>0.000033</td>\n",
       "      <td>0.479330</td>\n",
       "      <td>0.596850</td>\n",
       "      <td>0.001235</td>\n",
       "      <td>0.003500</td>\n",
       "      <td>0.005577</td>\n",
       "      <td>0.354317</td>\n",
       "      <td>0.009824</td>\n",
       "      <td>0.015772</td>\n",
       "      <td>0.000044</td>\n",
       "      <td>...</td>\n",
       "      <td>0.006996</td>\n",
       "      <td>0.003221</td>\n",
       "      <td>0.007762</td>\n",
       "      <td>0.002893</td>\n",
       "      <td>0.005262</td>\n",
       "      <td>0.005050</td>\n",
       "      <td>0.005723</td>\n",
       "      <td>0.006212</td>\n",
       "      <td>0.005417</td>\n",
       "      <td>0.002252</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>0.000033</td>\n",
       "      <td>0.482269</td>\n",
       "      <td>0.589980</td>\n",
       "      <td>0.001244</td>\n",
       "      <td>0.003541</td>\n",
       "      <td>0.005543</td>\n",
       "      <td>0.356560</td>\n",
       "      <td>0.009852</td>\n",
       "      <td>0.015866</td>\n",
       "      <td>0.000044</td>\n",
       "      <td>...</td>\n",
       "      <td>0.007162</td>\n",
       "      <td>0.003250</td>\n",
       "      <td>0.008073</td>\n",
       "      <td>0.002949</td>\n",
       "      <td>0.005302</td>\n",
       "      <td>0.005137</td>\n",
       "      <td>0.006153</td>\n",
       "      <td>0.006254</td>\n",
       "      <td>0.005428</td>\n",
       "      <td>0.002705</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>0.000033</td>\n",
       "      <td>0.481082</td>\n",
       "      <td>0.592874</td>\n",
       "      <td>0.001245</td>\n",
       "      <td>0.003516</td>\n",
       "      <td>0.005527</td>\n",
       "      <td>0.355716</td>\n",
       "      <td>0.009884</td>\n",
       "      <td>0.015819</td>\n",
       "      <td>0.000044</td>\n",
       "      <td>...</td>\n",
       "      <td>0.007088</td>\n",
       "      <td>0.003249</td>\n",
       "      <td>0.007865</td>\n",
       "      <td>0.002927</td>\n",
       "      <td>0.005290</td>\n",
       "      <td>0.005003</td>\n",
       "      <td>0.006247</td>\n",
       "      <td>0.006262</td>\n",
       "      <td>0.005472</td>\n",
       "      <td>0.002377</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>0.000039</td>\n",
       "      <td>0.483524</td>\n",
       "      <td>0.591032</td>\n",
       "      <td>0.001227</td>\n",
       "      <td>0.003534</td>\n",
       "      <td>0.005605</td>\n",
       "      <td>0.355526</td>\n",
       "      <td>0.009908</td>\n",
       "      <td>0.015823</td>\n",
       "      <td>0.000043</td>\n",
       "      <td>...</td>\n",
       "      <td>0.007052</td>\n",
       "      <td>0.003785</td>\n",
       "      <td>0.007980</td>\n",
       "      <td>0.002884</td>\n",
       "      <td>0.005145</td>\n",
       "      <td>0.005514</td>\n",
       "      <td>0.006262</td>\n",
       "      <td>0.006223</td>\n",
       "      <td>0.005455</td>\n",
       "      <td>0.002426</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>495</th>\n",
       "      <td>0.000032</td>\n",
       "      <td>0.480390</td>\n",
       "      <td>0.592533</td>\n",
       "      <td>0.001246</td>\n",
       "      <td>0.003499</td>\n",
       "      <td>0.005566</td>\n",
       "      <td>0.356120</td>\n",
       "      <td>0.009816</td>\n",
       "      <td>0.015838</td>\n",
       "      <td>0.000043</td>\n",
       "      <td>...</td>\n",
       "      <td>0.007121</td>\n",
       "      <td>0.003113</td>\n",
       "      <td>0.007839</td>\n",
       "      <td>0.002957</td>\n",
       "      <td>0.005124</td>\n",
       "      <td>0.004405</td>\n",
       "      <td>0.005946</td>\n",
       "      <td>0.006564</td>\n",
       "      <td>0.005401</td>\n",
       "      <td>0.002164</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>496</th>\n",
       "      <td>0.000031</td>\n",
       "      <td>0.480704</td>\n",
       "      <td>0.594417</td>\n",
       "      <td>0.001226</td>\n",
       "      <td>0.003526</td>\n",
       "      <td>0.005569</td>\n",
       "      <td>0.354866</td>\n",
       "      <td>0.009859</td>\n",
       "      <td>0.015800</td>\n",
       "      <td>0.000047</td>\n",
       "      <td>...</td>\n",
       "      <td>0.007090</td>\n",
       "      <td>0.002989</td>\n",
       "      <td>0.007948</td>\n",
       "      <td>0.002918</td>\n",
       "      <td>0.005640</td>\n",
       "      <td>0.004989</td>\n",
       "      <td>0.005595</td>\n",
       "      <td>0.006571</td>\n",
       "      <td>0.005425</td>\n",
       "      <td>0.002288</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>497</th>\n",
       "      <td>0.000030</td>\n",
       "      <td>0.481680</td>\n",
       "      <td>0.591890</td>\n",
       "      <td>0.001225</td>\n",
       "      <td>0.003546</td>\n",
       "      <td>0.005604</td>\n",
       "      <td>0.355727</td>\n",
       "      <td>0.009873</td>\n",
       "      <td>0.015860</td>\n",
       "      <td>0.000047</td>\n",
       "      <td>...</td>\n",
       "      <td>0.007175</td>\n",
       "      <td>0.003051</td>\n",
       "      <td>0.008181</td>\n",
       "      <td>0.002851</td>\n",
       "      <td>0.005597</td>\n",
       "      <td>0.005403</td>\n",
       "      <td>0.006163</td>\n",
       "      <td>0.006600</td>\n",
       "      <td>0.005438</td>\n",
       "      <td>0.002413</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>498</th>\n",
       "      <td>0.000032</td>\n",
       "      <td>0.478146</td>\n",
       "      <td>0.595166</td>\n",
       "      <td>0.001236</td>\n",
       "      <td>0.003548</td>\n",
       "      <td>0.005570</td>\n",
       "      <td>0.355651</td>\n",
       "      <td>0.009859</td>\n",
       "      <td>0.015844</td>\n",
       "      <td>0.000045</td>\n",
       "      <td>...</td>\n",
       "      <td>0.007178</td>\n",
       "      <td>0.003078</td>\n",
       "      <td>0.008314</td>\n",
       "      <td>0.002983</td>\n",
       "      <td>0.005207</td>\n",
       "      <td>0.004988</td>\n",
       "      <td>0.006248</td>\n",
       "      <td>0.006623</td>\n",
       "      <td>0.005339</td>\n",
       "      <td>0.002527</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>499</th>\n",
       "      <td>0.000031</td>\n",
       "      <td>0.476035</td>\n",
       "      <td>0.598870</td>\n",
       "      <td>0.001247</td>\n",
       "      <td>0.003570</td>\n",
       "      <td>0.005608</td>\n",
       "      <td>0.354603</td>\n",
       "      <td>0.009931</td>\n",
       "      <td>0.015789</td>\n",
       "      <td>0.000044</td>\n",
       "      <td>...</td>\n",
       "      <td>0.007082</td>\n",
       "      <td>0.003106</td>\n",
       "      <td>0.007810</td>\n",
       "      <td>0.002984</td>\n",
       "      <td>0.005251</td>\n",
       "      <td>0.004981</td>\n",
       "      <td>0.006869</td>\n",
       "      <td>0.006653</td>\n",
       "      <td>0.005396</td>\n",
       "      <td>0.002496</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>500 rows × 52 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "           0         1         2         3         4         5         6   \\\n",
       "0    0.000033  0.481892  0.594036  0.001211  0.003527  0.005562  0.354703   \n",
       "1    0.000033  0.479330  0.596850  0.001235  0.003500  0.005577  0.354317   \n",
       "2    0.000033  0.482269  0.589980  0.001244  0.003541  0.005543  0.356560   \n",
       "3    0.000033  0.481082  0.592874  0.001245  0.003516  0.005527  0.355716   \n",
       "4    0.000039  0.483524  0.591032  0.001227  0.003534  0.005605  0.355526   \n",
       "..        ...       ...       ...       ...       ...       ...       ...   \n",
       "495  0.000032  0.480390  0.592533  0.001246  0.003499  0.005566  0.356120   \n",
       "496  0.000031  0.480704  0.594417  0.001226  0.003526  0.005569  0.354866   \n",
       "497  0.000030  0.481680  0.591890  0.001225  0.003546  0.005604  0.355727   \n",
       "498  0.000032  0.478146  0.595166  0.001236  0.003548  0.005570  0.355651   \n",
       "499  0.000031  0.476035  0.598870  0.001247  0.003570  0.005608  0.354603   \n",
       "\n",
       "           7         8         9   ...        42        43        44  \\\n",
       "0    0.009819  0.015793  0.000044  ...  0.007049  0.003234  0.008203   \n",
       "1    0.009824  0.015772  0.000044  ...  0.006996  0.003221  0.007762   \n",
       "2    0.009852  0.015866  0.000044  ...  0.007162  0.003250  0.008073   \n",
       "3    0.009884  0.015819  0.000044  ...  0.007088  0.003249  0.007865   \n",
       "4    0.009908  0.015823  0.000043  ...  0.007052  0.003785  0.007980   \n",
       "..        ...       ...       ...  ...       ...       ...       ...   \n",
       "495  0.009816  0.015838  0.000043  ...  0.007121  0.003113  0.007839   \n",
       "496  0.009859  0.015800  0.000047  ...  0.007090  0.002989  0.007948   \n",
       "497  0.009873  0.015860  0.000047  ...  0.007175  0.003051  0.008181   \n",
       "498  0.009859  0.015844  0.000045  ...  0.007178  0.003078  0.008314   \n",
       "499  0.009931  0.015789  0.000044  ...  0.007082  0.003106  0.007810   \n",
       "\n",
       "           45        46        47        48        49        50        51  \n",
       "0    0.002904  0.005238  0.005551  0.006264  0.006232  0.005412  0.002420  \n",
       "1    0.002893  0.005262  0.005050  0.005723  0.006212  0.005417  0.002252  \n",
       "2    0.002949  0.005302  0.005137  0.006153  0.006254  0.005428  0.002705  \n",
       "3    0.002927  0.005290  0.005003  0.006247  0.006262  0.005472  0.002377  \n",
       "4    0.002884  0.005145  0.005514  0.006262  0.006223  0.005455  0.002426  \n",
       "..        ...       ...       ...       ...       ...       ...       ...  \n",
       "495  0.002957  0.005124  0.004405  0.005946  0.006564  0.005401  0.002164  \n",
       "496  0.002918  0.005640  0.004989  0.005595  0.006571  0.005425  0.002288  \n",
       "497  0.002851  0.005597  0.005403  0.006163  0.006600  0.005438  0.002413  \n",
       "498  0.002983  0.005207  0.004988  0.006248  0.006623  0.005339  0.002527  \n",
       "499  0.002984  0.005251  0.004981  0.006869  0.006653  0.005396  0.002496  \n",
       "\n",
       "[500 rows x 52 columns]"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df_norm"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "6c4cf1a6",
   "metadata": {},
   "source": [
    "## MinMax"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "7e138a09",
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.preprocessing import MinMaxScaler"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "744f8944",
   "metadata": {},
   "outputs": [],
   "source": [
    "MM_scl = MinMaxScaler()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "f295c46e",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "MinMaxScaler()"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "MM_scl.fit(df_train)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "79993e33",
   "metadata": {},
   "outputs": [],
   "source": [
    "df_mm = MM_scl.transform(df_train)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "3cb3a4be",
   "metadata": {},
   "outputs": [],
   "source": [
    "df_mm = pd.DataFrame(df_train)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "id": "a456f712",
   "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></th>\n",
       "      <th>xmeas_1</th>\n",
       "      <th>xmeas_2</th>\n",
       "      <th>xmeas_3</th>\n",
       "      <th>xmeas_4</th>\n",
       "      <th>xmeas_5</th>\n",
       "      <th>xmeas_6</th>\n",
       "      <th>xmeas_7</th>\n",
       "      <th>xmeas_8</th>\n",
       "      <th>xmeas_9</th>\n",
       "      <th>xmeas_10</th>\n",
       "      <th>...</th>\n",
       "      <th>xmv_2</th>\n",
       "      <th>xmv_3</th>\n",
       "      <th>xmv_4</th>\n",
       "      <th>xmv_5</th>\n",
       "      <th>xmv_6</th>\n",
       "      <th>xmv_7</th>\n",
       "      <th>xmv_8</th>\n",
       "      <th>xmv_9</th>\n",
       "      <th>xmv_10</th>\n",
       "      <th>xmv_11</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>0.25038</td>\n",
       "      <td>3674.0</td>\n",
       "      <td>4529.0</td>\n",
       "      <td>9.2320</td>\n",
       "      <td>26.889</td>\n",
       "      <td>42.402</td>\n",
       "      <td>2704.3</td>\n",
       "      <td>74.863</td>\n",
       "      <td>120.41</td>\n",
       "      <td>0.33818</td>\n",
       "      <td>...</td>\n",
       "      <td>53.744</td>\n",
       "      <td>24.657</td>\n",
       "      <td>62.544</td>\n",
       "      <td>22.137</td>\n",
       "      <td>39.935</td>\n",
       "      <td>42.323</td>\n",
       "      <td>47.757</td>\n",
       "      <td>47.510</td>\n",
       "      <td>41.258</td>\n",
       "      <td>18.447</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>0.25109</td>\n",
       "      <td>3659.4</td>\n",
       "      <td>4556.6</td>\n",
       "      <td>9.4264</td>\n",
       "      <td>26.721</td>\n",
       "      <td>42.576</td>\n",
       "      <td>2705.0</td>\n",
       "      <td>75.000</td>\n",
       "      <td>120.41</td>\n",
       "      <td>0.33620</td>\n",
       "      <td>...</td>\n",
       "      <td>53.414</td>\n",
       "      <td>24.588</td>\n",
       "      <td>59.259</td>\n",
       "      <td>22.084</td>\n",
       "      <td>40.176</td>\n",
       "      <td>38.554</td>\n",
       "      <td>43.692</td>\n",
       "      <td>47.427</td>\n",
       "      <td>41.359</td>\n",
       "      <td>17.194</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>0.25038</td>\n",
       "      <td>3660.3</td>\n",
       "      <td>4477.8</td>\n",
       "      <td>9.4426</td>\n",
       "      <td>26.875</td>\n",
       "      <td>42.070</td>\n",
       "      <td>2706.2</td>\n",
       "      <td>74.771</td>\n",
       "      <td>120.42</td>\n",
       "      <td>0.33563</td>\n",
       "      <td>...</td>\n",
       "      <td>54.357</td>\n",
       "      <td>24.666</td>\n",
       "      <td>61.275</td>\n",
       "      <td>22.380</td>\n",
       "      <td>40.244</td>\n",
       "      <td>38.990</td>\n",
       "      <td>46.699</td>\n",
       "      <td>47.468</td>\n",
       "      <td>41.199</td>\n",
       "      <td>20.530</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>0.24977</td>\n",
       "      <td>3661.3</td>\n",
       "      <td>4512.1</td>\n",
       "      <td>9.4776</td>\n",
       "      <td>26.758</td>\n",
       "      <td>42.063</td>\n",
       "      <td>2707.2</td>\n",
       "      <td>75.224</td>\n",
       "      <td>120.39</td>\n",
       "      <td>0.33553</td>\n",
       "      <td>...</td>\n",
       "      <td>53.946</td>\n",
       "      <td>24.725</td>\n",
       "      <td>59.856</td>\n",
       "      <td>22.277</td>\n",
       "      <td>40.257</td>\n",
       "      <td>38.072</td>\n",
       "      <td>47.541</td>\n",
       "      <td>47.658</td>\n",
       "      <td>41.643</td>\n",
       "      <td>18.089</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>0.29405</td>\n",
       "      <td>3679.0</td>\n",
       "      <td>4497.0</td>\n",
       "      <td>9.3381</td>\n",
       "      <td>26.889</td>\n",
       "      <td>42.650</td>\n",
       "      <td>2705.1</td>\n",
       "      <td>75.388</td>\n",
       "      <td>120.39</td>\n",
       "      <td>0.32632</td>\n",
       "      <td>...</td>\n",
       "      <td>53.658</td>\n",
       "      <td>28.797</td>\n",
       "      <td>60.717</td>\n",
       "      <td>21.947</td>\n",
       "      <td>39.144</td>\n",
       "      <td>41.955</td>\n",
       "      <td>47.645</td>\n",
       "      <td>47.346</td>\n",
       "      <td>41.507</td>\n",
       "      <td>18.461</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>495</th>\n",
       "      <td>0.24602</td>\n",
       "      <td>3651.9</td>\n",
       "      <td>4504.4</td>\n",
       "      <td>9.4721</td>\n",
       "      <td>26.600</td>\n",
       "      <td>42.312</td>\n",
       "      <td>2707.2</td>\n",
       "      <td>74.623</td>\n",
       "      <td>120.40</td>\n",
       "      <td>0.32381</td>\n",
       "      <td>...</td>\n",
       "      <td>54.132</td>\n",
       "      <td>23.663</td>\n",
       "      <td>59.588</td>\n",
       "      <td>22.481</td>\n",
       "      <td>38.952</td>\n",
       "      <td>33.489</td>\n",
       "      <td>45.203</td>\n",
       "      <td>49.900</td>\n",
       "      <td>41.057</td>\n",
       "      <td>16.448</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>496</th>\n",
       "      <td>0.23457</td>\n",
       "      <td>3663.0</td>\n",
       "      <td>4529.5</td>\n",
       "      <td>9.3440</td>\n",
       "      <td>26.872</td>\n",
       "      <td>42.434</td>\n",
       "      <td>2704.1</td>\n",
       "      <td>75.123</td>\n",
       "      <td>120.40</td>\n",
       "      <td>0.35454</td>\n",
       "      <td>...</td>\n",
       "      <td>54.028</td>\n",
       "      <td>22.776</td>\n",
       "      <td>60.566</td>\n",
       "      <td>22.237</td>\n",
       "      <td>42.978</td>\n",
       "      <td>38.017</td>\n",
       "      <td>42.637</td>\n",
       "      <td>50.075</td>\n",
       "      <td>41.339</td>\n",
       "      <td>17.435</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>497</th>\n",
       "      <td>0.23068</td>\n",
       "      <td>3656.4</td>\n",
       "      <td>4493.0</td>\n",
       "      <td>9.2978</td>\n",
       "      <td>26.920</td>\n",
       "      <td>42.536</td>\n",
       "      <td>2700.3</td>\n",
       "      <td>74.942</td>\n",
       "      <td>120.39</td>\n",
       "      <td>0.35859</td>\n",
       "      <td>...</td>\n",
       "      <td>54.465</td>\n",
       "      <td>23.158</td>\n",
       "      <td>62.102</td>\n",
       "      <td>21.639</td>\n",
       "      <td>42.483</td>\n",
       "      <td>41.016</td>\n",
       "      <td>46.782</td>\n",
       "      <td>50.098</td>\n",
       "      <td>41.277</td>\n",
       "      <td>18.315</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>498</th>\n",
       "      <td>0.24263</td>\n",
       "      <td>3632.5</td>\n",
       "      <td>4521.5</td>\n",
       "      <td>9.3915</td>\n",
       "      <td>26.956</td>\n",
       "      <td>42.317</td>\n",
       "      <td>2701.9</td>\n",
       "      <td>74.900</td>\n",
       "      <td>120.37</td>\n",
       "      <td>0.34057</td>\n",
       "      <td>...</td>\n",
       "      <td>54.532</td>\n",
       "      <td>23.386</td>\n",
       "      <td>63.164</td>\n",
       "      <td>22.661</td>\n",
       "      <td>39.558</td>\n",
       "      <td>37.892</td>\n",
       "      <td>47.468</td>\n",
       "      <td>50.312</td>\n",
       "      <td>40.557</td>\n",
       "      <td>19.198</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>499</th>\n",
       "      <td>0.23958</td>\n",
       "      <td>3629.7</td>\n",
       "      <td>4566.3</td>\n",
       "      <td>9.5071</td>\n",
       "      <td>27.219</td>\n",
       "      <td>42.757</td>\n",
       "      <td>2703.8</td>\n",
       "      <td>75.726</td>\n",
       "      <td>120.39</td>\n",
       "      <td>0.33665</td>\n",
       "      <td>...</td>\n",
       "      <td>53.996</td>\n",
       "      <td>23.686</td>\n",
       "      <td>59.553</td>\n",
       "      <td>22.749</td>\n",
       "      <td>40.036</td>\n",
       "      <td>37.977</td>\n",
       "      <td>52.375</td>\n",
       "      <td>50.728</td>\n",
       "      <td>41.145</td>\n",
       "      <td>19.029</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>500 rows × 52 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "     xmeas_1  xmeas_2  xmeas_3  xmeas_4  xmeas_5  xmeas_6  xmeas_7  xmeas_8  \\\n",
       "0    0.25038   3674.0   4529.0   9.2320   26.889   42.402   2704.3   74.863   \n",
       "1    0.25109   3659.4   4556.6   9.4264   26.721   42.576   2705.0   75.000   \n",
       "2    0.25038   3660.3   4477.8   9.4426   26.875   42.070   2706.2   74.771   \n",
       "3    0.24977   3661.3   4512.1   9.4776   26.758   42.063   2707.2   75.224   \n",
       "4    0.29405   3679.0   4497.0   9.3381   26.889   42.650   2705.1   75.388   \n",
       "..       ...      ...      ...      ...      ...      ...      ...      ...   \n",
       "495  0.24602   3651.9   4504.4   9.4721   26.600   42.312   2707.2   74.623   \n",
       "496  0.23457   3663.0   4529.5   9.3440   26.872   42.434   2704.1   75.123   \n",
       "497  0.23068   3656.4   4493.0   9.2978   26.920   42.536   2700.3   74.942   \n",
       "498  0.24263   3632.5   4521.5   9.3915   26.956   42.317   2701.9   74.900   \n",
       "499  0.23958   3629.7   4566.3   9.5071   27.219   42.757   2703.8   75.726   \n",
       "\n",
       "     xmeas_9  xmeas_10  ...   xmv_2   xmv_3   xmv_4   xmv_5   xmv_6   xmv_7  \\\n",
       "0     120.41   0.33818  ...  53.744  24.657  62.544  22.137  39.935  42.323   \n",
       "1     120.41   0.33620  ...  53.414  24.588  59.259  22.084  40.176  38.554   \n",
       "2     120.42   0.33563  ...  54.357  24.666  61.275  22.380  40.244  38.990   \n",
       "3     120.39   0.33553  ...  53.946  24.725  59.856  22.277  40.257  38.072   \n",
       "4     120.39   0.32632  ...  53.658  28.797  60.717  21.947  39.144  41.955   \n",
       "..       ...       ...  ...     ...     ...     ...     ...     ...     ...   \n",
       "495   120.40   0.32381  ...  54.132  23.663  59.588  22.481  38.952  33.489   \n",
       "496   120.40   0.35454  ...  54.028  22.776  60.566  22.237  42.978  38.017   \n",
       "497   120.39   0.35859  ...  54.465  23.158  62.102  21.639  42.483  41.016   \n",
       "498   120.37   0.34057  ...  54.532  23.386  63.164  22.661  39.558  37.892   \n",
       "499   120.39   0.33665  ...  53.996  23.686  59.553  22.749  40.036  37.977   \n",
       "\n",
       "      xmv_8   xmv_9  xmv_10  xmv_11  \n",
       "0    47.757  47.510  41.258  18.447  \n",
       "1    43.692  47.427  41.359  17.194  \n",
       "2    46.699  47.468  41.199  20.530  \n",
       "3    47.541  47.658  41.643  18.089  \n",
       "4    47.645  47.346  41.507  18.461  \n",
       "..      ...     ...     ...     ...  \n",
       "495  45.203  49.900  41.057  16.448  \n",
       "496  42.637  50.075  41.339  17.435  \n",
       "497  46.782  50.098  41.277  18.315  \n",
       "498  47.468  50.312  40.557  19.198  \n",
       "499  52.375  50.728  41.145  19.029  \n",
       "\n",
       "[500 rows x 52 columns]"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df_mm"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "bc38113f",
   "metadata": {},
   "source": [
    "## Robust"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "id": "0adfdfe9",
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.preprocessing import RobustScaler"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "id": "9bdc67df",
   "metadata": {},
   "outputs": [],
   "source": [
    "rb_scl = RobustScaler().fit(df_train)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "id": "0571585a",
   "metadata": {},
   "outputs": [],
   "source": [
    "df_rb = rb_scl.transform(df_train)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "id": "c5702ff2",
   "metadata": {},
   "outputs": [],
   "source": [
    "df_rb = pd.DataFrame(df_rb)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "id": "550ef4e4",
   "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></th>\n",
       "      <th>0</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>...</th>\n",
       "      <th>42</th>\n",
       "      <th>43</th>\n",
       "      <th>44</th>\n",
       "      <th>45</th>\n",
       "      <th>46</th>\n",
       "      <th>47</th>\n",
       "      <th>48</th>\n",
       "      <th>49</th>\n",
       "      <th>50</th>\n",
       "      <th>51</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>0.016111</td>\n",
       "      <td>0.309539</td>\n",
       "      <td>0.438672</td>\n",
       "      <td>-1.014699</td>\n",
       "      <td>-0.064352</td>\n",
       "      <td>0.236301</td>\n",
       "      <td>0.050420</td>\n",
       "      <td>-0.209052</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.085503</td>\n",
       "      <td>...</td>\n",
       "      <td>-0.394854</td>\n",
       "      <td>0.022109</td>\n",
       "      <td>0.717537</td>\n",
       "      <td>-0.000925</td>\n",
       "      <td>-0.093438</td>\n",
       "      <td>0.959647</td>\n",
       "      <td>0.337889</td>\n",
       "      <td>-0.329245</td>\n",
       "      <td>0.210526</td>\n",
       "      <td>0.186321</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>0.035665</td>\n",
       "      <td>-0.059381</td>\n",
       "      <td>0.969697</td>\n",
       "      <td>0.717149</td>\n",
       "      <td>-0.633362</td>\n",
       "      <td>0.832192</td>\n",
       "      <td>0.128852</td>\n",
       "      <td>-0.012213</td>\n",
       "      <td>0.5</td>\n",
       "      <td>-0.064982</td>\n",
       "      <td>...</td>\n",
       "      <td>-0.980479</td>\n",
       "      <td>0.002551</td>\n",
       "      <td>-1.199591</td>\n",
       "      <td>-0.098937</td>\n",
       "      <td>0.057187</td>\n",
       "      <td>0.096732</td>\n",
       "      <td>-0.883015</td>\n",
       "      <td>-0.360566</td>\n",
       "      <td>0.349501</td>\n",
       "      <td>-0.456820</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>0.016111</td>\n",
       "      <td>-0.036639</td>\n",
       "      <td>-0.546417</td>\n",
       "      <td>0.861470</td>\n",
       "      <td>-0.111770</td>\n",
       "      <td>-0.900685</td>\n",
       "      <td>0.263305</td>\n",
       "      <td>-0.341236</td>\n",
       "      <td>1.0</td>\n",
       "      <td>-0.108303</td>\n",
       "      <td>...</td>\n",
       "      <td>0.692990</td>\n",
       "      <td>0.024660</td>\n",
       "      <td>-0.023052</td>\n",
       "      <td>0.448451</td>\n",
       "      <td>0.099687</td>\n",
       "      <td>0.196554</td>\n",
       "      <td>0.020123</td>\n",
       "      <td>-0.345094</td>\n",
       "      <td>0.129343</td>\n",
       "      <td>1.255486</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>-0.000689</td>\n",
       "      <td>-0.011371</td>\n",
       "      <td>0.113516</td>\n",
       "      <td>1.173274</td>\n",
       "      <td>-0.508044</td>\n",
       "      <td>-0.924658</td>\n",
       "      <td>0.375350</td>\n",
       "      <td>0.309626</td>\n",
       "      <td>-0.5</td>\n",
       "      <td>-0.115903</td>\n",
       "      <td>...</td>\n",
       "      <td>-0.036380</td>\n",
       "      <td>0.041383</td>\n",
       "      <td>-0.851182</td>\n",
       "      <td>0.257975</td>\n",
       "      <td>0.107812</td>\n",
       "      <td>-0.013623</td>\n",
       "      <td>0.273014</td>\n",
       "      <td>-0.273396</td>\n",
       "      <td>0.740282</td>\n",
       "      <td>0.002566</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>1.218810</td>\n",
       "      <td>0.435881</td>\n",
       "      <td>-0.177008</td>\n",
       "      <td>-0.069488</td>\n",
       "      <td>-0.064352</td>\n",
       "      <td>1.085616</td>\n",
       "      <td>0.140056</td>\n",
       "      <td>0.545259</td>\n",
       "      <td>-0.5</td>\n",
       "      <td>-0.815884</td>\n",
       "      <td>...</td>\n",
       "      <td>-0.547471</td>\n",
       "      <td>1.195578</td>\n",
       "      <td>-0.348701</td>\n",
       "      <td>-0.352288</td>\n",
       "      <td>-0.587813</td>\n",
       "      <td>0.875394</td>\n",
       "      <td>0.304250</td>\n",
       "      <td>-0.391132</td>\n",
       "      <td>0.553148</td>\n",
       "      <td>0.193507</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>495</th>\n",
       "      <td>-0.103966</td>\n",
       "      <td>-0.248895</td>\n",
       "      <td>-0.034632</td>\n",
       "      <td>1.124276</td>\n",
       "      <td>-1.043184</td>\n",
       "      <td>-0.071918</td>\n",
       "      <td>0.375350</td>\n",
       "      <td>-0.553879</td>\n",
       "      <td>0.0</td>\n",
       "      <td>-1.006650</td>\n",
       "      <td>...</td>\n",
       "      <td>0.293700</td>\n",
       "      <td>-0.259637</td>\n",
       "      <td>-1.007587</td>\n",
       "      <td>0.635229</td>\n",
       "      <td>-0.707813</td>\n",
       "      <td>-1.062904</td>\n",
       "      <td>-0.429194</td>\n",
       "      <td>0.572642</td>\n",
       "      <td>-0.066047</td>\n",
       "      <td>-0.839728</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>496</th>\n",
       "      <td>-0.419306</td>\n",
       "      <td>0.031586</td>\n",
       "      <td>0.448292</td>\n",
       "      <td>-0.016927</td>\n",
       "      <td>-0.121931</td>\n",
       "      <td>0.345890</td>\n",
       "      <td>0.028011</td>\n",
       "      <td>0.164511</td>\n",
       "      <td>0.0</td>\n",
       "      <td>1.328900</td>\n",
       "      <td>...</td>\n",
       "      <td>0.109139</td>\n",
       "      <td>-0.511054</td>\n",
       "      <td>-0.436825</td>\n",
       "      <td>0.184004</td>\n",
       "      <td>1.808437</td>\n",
       "      <td>-0.026215</td>\n",
       "      <td>-1.199880</td>\n",
       "      <td>0.638679</td>\n",
       "      <td>0.321981</td>\n",
       "      <td>-0.333119</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>497</th>\n",
       "      <td>-0.526439</td>\n",
       "      <td>-0.135186</td>\n",
       "      <td>-0.253968</td>\n",
       "      <td>-0.428508</td>\n",
       "      <td>0.040644</td>\n",
       "      <td>0.695205</td>\n",
       "      <td>-0.397759</td>\n",
       "      <td>-0.095546</td>\n",
       "      <td>-0.5</td>\n",
       "      <td>1.636709</td>\n",
       "      <td>...</td>\n",
       "      <td>0.884650</td>\n",
       "      <td>-0.402778</td>\n",
       "      <td>0.459586</td>\n",
       "      <td>-0.921868</td>\n",
       "      <td>1.499062</td>\n",
       "      <td>0.660409</td>\n",
       "      <td>0.045052</td>\n",
       "      <td>0.647358</td>\n",
       "      <td>0.236670</td>\n",
       "      <td>0.118568</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>498</th>\n",
       "      <td>-0.197329</td>\n",
       "      <td>-0.739103</td>\n",
       "      <td>0.294372</td>\n",
       "      <td>0.406236</td>\n",
       "      <td>0.162574</td>\n",
       "      <td>-0.054795</td>\n",
       "      <td>-0.218487</td>\n",
       "      <td>-0.155891</td>\n",
       "      <td>-1.5</td>\n",
       "      <td>0.267148</td>\n",
       "      <td>...</td>\n",
       "      <td>1.003549</td>\n",
       "      <td>-0.338152</td>\n",
       "      <td>1.079370</td>\n",
       "      <td>0.968100</td>\n",
       "      <td>-0.329063</td>\n",
       "      <td>-0.054834</td>\n",
       "      <td>0.251089</td>\n",
       "      <td>0.728113</td>\n",
       "      <td>-0.754042</td>\n",
       "      <td>0.571795</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>499</th>\n",
       "      <td>-0.281327</td>\n",
       "      <td>-0.809855</td>\n",
       "      <td>1.156325</td>\n",
       "      <td>1.436080</td>\n",
       "      <td>1.053345</td>\n",
       "      <td>1.452055</td>\n",
       "      <td>-0.005602</td>\n",
       "      <td>1.030891</td>\n",
       "      <td>-0.5</td>\n",
       "      <td>-0.030781</td>\n",
       "      <td>...</td>\n",
       "      <td>0.052351</td>\n",
       "      <td>-0.253118</td>\n",
       "      <td>-1.028013</td>\n",
       "      <td>1.130837</td>\n",
       "      <td>-0.030313</td>\n",
       "      <td>-0.035373</td>\n",
       "      <td>1.724884</td>\n",
       "      <td>0.885094</td>\n",
       "      <td>0.055040</td>\n",
       "      <td>0.485051</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>500 rows × 52 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "           0         1         2         3         4         5         6   \\\n",
       "0    0.016111  0.309539  0.438672 -1.014699 -0.064352  0.236301  0.050420   \n",
       "1    0.035665 -0.059381  0.969697  0.717149 -0.633362  0.832192  0.128852   \n",
       "2    0.016111 -0.036639 -0.546417  0.861470 -0.111770 -0.900685  0.263305   \n",
       "3   -0.000689 -0.011371  0.113516  1.173274 -0.508044 -0.924658  0.375350   \n",
       "4    1.218810  0.435881 -0.177008 -0.069488 -0.064352  1.085616  0.140056   \n",
       "..        ...       ...       ...       ...       ...       ...       ...   \n",
       "495 -0.103966 -0.248895 -0.034632  1.124276 -1.043184 -0.071918  0.375350   \n",
       "496 -0.419306  0.031586  0.448292 -0.016927 -0.121931  0.345890  0.028011   \n",
       "497 -0.526439 -0.135186 -0.253968 -0.428508  0.040644  0.695205 -0.397759   \n",
       "498 -0.197329 -0.739103  0.294372  0.406236  0.162574 -0.054795 -0.218487   \n",
       "499 -0.281327 -0.809855  1.156325  1.436080  1.053345  1.452055 -0.005602   \n",
       "\n",
       "           7    8         9   ...        42        43        44        45  \\\n",
       "0   -0.209052  0.5  0.085503  ... -0.394854  0.022109  0.717537 -0.000925   \n",
       "1   -0.012213  0.5 -0.064982  ... -0.980479  0.002551 -1.199591 -0.098937   \n",
       "2   -0.341236  1.0 -0.108303  ...  0.692990  0.024660 -0.023052  0.448451   \n",
       "3    0.309626 -0.5 -0.115903  ... -0.036380  0.041383 -0.851182  0.257975   \n",
       "4    0.545259 -0.5 -0.815884  ... -0.547471  1.195578 -0.348701 -0.352288   \n",
       "..        ...  ...       ...  ...       ...       ...       ...       ...   \n",
       "495 -0.553879  0.0 -1.006650  ...  0.293700 -0.259637 -1.007587  0.635229   \n",
       "496  0.164511  0.0  1.328900  ...  0.109139 -0.511054 -0.436825  0.184004   \n",
       "497 -0.095546 -0.5  1.636709  ...  0.884650 -0.402778  0.459586 -0.921868   \n",
       "498 -0.155891 -1.5  0.267148  ...  1.003549 -0.338152  1.079370  0.968100   \n",
       "499  1.030891 -0.5 -0.030781  ...  0.052351 -0.253118 -1.028013  1.130837   \n",
       "\n",
       "           46        47        48        49        50        51  \n",
       "0   -0.093438  0.959647  0.337889 -0.329245  0.210526  0.186321  \n",
       "1    0.057187  0.096732 -0.883015 -0.360566  0.349501 -0.456820  \n",
       "2    0.099687  0.196554  0.020123 -0.345094  0.129343  1.255486  \n",
       "3    0.107812 -0.013623  0.273014 -0.273396  0.740282  0.002566  \n",
       "4   -0.587813  0.875394  0.304250 -0.391132  0.553148  0.193507  \n",
       "..        ...       ...       ...       ...       ...       ...  \n",
       "495 -0.707813 -1.062904 -0.429194  0.572642 -0.066047 -0.839728  \n",
       "496  1.808437 -0.026215 -1.199880  0.638679  0.321981 -0.333119  \n",
       "497  1.499062  0.660409  0.045052  0.647358  0.236670  0.118568  \n",
       "498 -0.329063 -0.054834  0.251089  0.728113 -0.754042  0.571795  \n",
       "499 -0.030313 -0.035373  1.724884  0.885094  0.055040  0.485051  \n",
       "\n",
       "[500 rows x 52 columns]"
      ]
     },
     "execution_count": 20,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df_rb"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "1ecfc950",
   "metadata": {},
   "source": [
    "## Standardize"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "id": "48f11e01",
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.preprocessing import StandardScaler"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "id": "83e14d46",
   "metadata": {},
   "outputs": [],
   "source": [
    "std_scl = StandardScaler().fit(df_train)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "id": "ae4fca4a",
   "metadata": {},
   "outputs": [],
   "source": [
    "df_std = std_scl.transform(df_train)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "id": "4df7e5f7",
   "metadata": {},
   "outputs": [],
   "source": [
    "df_std = pd.DataFrame(df_std)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "id": "2f083937",
   "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></th>\n",
       "      <th>0</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>...</th>\n",
       "      <th>42</th>\n",
       "      <th>43</th>\n",
       "      <th>44</th>\n",
       "      <th>45</th>\n",
       "      <th>46</th>\n",
       "      <th>47</th>\n",
       "      <th>48</th>\n",
       "      <th>49</th>\n",
       "      <th>50</th>\n",
       "      <th>51</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>-0.007459</td>\n",
       "      <td>0.343859</td>\n",
       "      <td>0.502126</td>\n",
       "      <td>-1.431359</td>\n",
       "      <td>-0.084087</td>\n",
       "      <td>0.278542</td>\n",
       "      <td>-0.009557</td>\n",
       "      <td>-0.292773</td>\n",
       "      <td>0.510938</td>\n",
       "      <td>0.098431</td>\n",
       "      <td>...</td>\n",
       "      <td>-0.488936</td>\n",
       "      <td>0.000962</td>\n",
       "      <td>1.050090</td>\n",
       "      <td>-0.051818</td>\n",
       "      <td>-0.122736</td>\n",
       "      <td>1.319983</td>\n",
       "      <td>0.471559</td>\n",
       "      <td>-0.720571</td>\n",
       "      <td>0.279630</td>\n",
       "      <td>0.250397</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>0.017875</td>\n",
       "      <td>-0.103316</td>\n",
       "      <td>1.215653</td>\n",
       "      <td>1.035368</td>\n",
       "      <td>-0.866377</td>\n",
       "      <td>1.068875</td>\n",
       "      <td>0.107804</td>\n",
       "      <td>-0.032734</td>\n",
       "      <td>0.510938</td>\n",
       "      <td>-0.071378</td>\n",
       "      <td>...</td>\n",
       "      <td>-1.237481</td>\n",
       "      <td>-0.024152</td>\n",
       "      <td>-1.590601</td>\n",
       "      <td>-0.185906</td>\n",
       "      <td>0.049624</td>\n",
       "      <td>0.089123</td>\n",
       "      <td>-1.227605</td>\n",
       "      <td>-0.760505</td>\n",
       "      <td>0.460598</td>\n",
       "      <td>-0.634866</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>-0.007459</td>\n",
       "      <td>-0.075750</td>\n",
       "      <td>-0.821517</td>\n",
       "      <td>1.240929</td>\n",
       "      <td>-0.149278</td>\n",
       "      <td>-1.229449</td>\n",
       "      <td>0.308995</td>\n",
       "      <td>-0.467397</td>\n",
       "      <td>1.023929</td>\n",
       "      <td>-0.120262</td>\n",
       "      <td>...</td>\n",
       "      <td>0.901543</td>\n",
       "      <td>0.004238</td>\n",
       "      <td>0.029987</td>\n",
       "      <td>0.562959</td>\n",
       "      <td>0.098256</td>\n",
       "      <td>0.231510</td>\n",
       "      <td>0.029317</td>\n",
       "      <td>-0.740779</td>\n",
       "      <td>0.173916</td>\n",
       "      <td>1.722067</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>-0.029225</td>\n",
       "      <td>-0.045122</td>\n",
       "      <td>0.065220</td>\n",
       "      <td>1.685042</td>\n",
       "      <td>-0.694087</td>\n",
       "      <td>-1.261244</td>\n",
       "      <td>0.476653</td>\n",
       "      <td>0.392438</td>\n",
       "      <td>-0.515042</td>\n",
       "      <td>-0.128838</td>\n",
       "      <td>...</td>\n",
       "      <td>-0.030736</td>\n",
       "      <td>0.025713</td>\n",
       "      <td>-1.110695</td>\n",
       "      <td>0.302375</td>\n",
       "      <td>0.107554</td>\n",
       "      <td>-0.068286</td>\n",
       "      <td>0.381272</td>\n",
       "      <td>-0.649365</td>\n",
       "      <td>0.969458</td>\n",
       "      <td>-0.002535</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>1.550795</td>\n",
       "      <td>0.497001</td>\n",
       "      <td>-0.325151</td>\n",
       "      <td>-0.085064</td>\n",
       "      <td>-0.084087</td>\n",
       "      <td>1.404994</td>\n",
       "      <td>0.124570</td>\n",
       "      <td>0.703725</td>\n",
       "      <td>-0.515042</td>\n",
       "      <td>-0.918704</td>\n",
       "      <td>...</td>\n",
       "      <td>-0.684011</td>\n",
       "      <td>1.507821</td>\n",
       "      <td>-0.418568</td>\n",
       "      <td>-0.532509</td>\n",
       "      <td>-0.688446</td>\n",
       "      <td>1.199804</td>\n",
       "      <td>0.424744</td>\n",
       "      <td>-0.799476</td>\n",
       "      <td>0.725778</td>\n",
       "      <td>0.260288</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>495</th>\n",
       "      <td>-0.163035</td>\n",
       "      <td>-0.333028</td>\n",
       "      <td>-0.133843</td>\n",
       "      <td>1.615252</td>\n",
       "      <td>-1.429812</td>\n",
       "      <td>-0.130251</td>\n",
       "      <td>0.476653</td>\n",
       "      <td>-0.748315</td>\n",
       "      <td>-0.002052</td>\n",
       "      <td>-1.133966</td>\n",
       "      <td>...</td>\n",
       "      <td>0.391172</td>\n",
       "      <td>-0.360829</td>\n",
       "      <td>-1.326130</td>\n",
       "      <td>0.818484</td>\n",
       "      <td>-0.825761</td>\n",
       "      <td>-1.564979</td>\n",
       "      <td>-0.596009</td>\n",
       "      <td>0.429321</td>\n",
       "      <td>-0.080515</td>\n",
       "      <td>-1.161925</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>496</th>\n",
       "      <td>-0.571599</td>\n",
       "      <td>0.006947</td>\n",
       "      <td>0.515052</td>\n",
       "      <td>-0.010199</td>\n",
       "      <td>-0.163247</td>\n",
       "      <td>0.423891</td>\n",
       "      <td>-0.043088</td>\n",
       "      <td>0.200731</td>\n",
       "      <td>-0.002052</td>\n",
       "      <td>1.501493</td>\n",
       "      <td>...</td>\n",
       "      <td>0.155266</td>\n",
       "      <td>-0.683676</td>\n",
       "      <td>-0.539952</td>\n",
       "      <td>0.201177</td>\n",
       "      <td>2.053568</td>\n",
       "      <td>-0.086248</td>\n",
       "      <td>-1.668594</td>\n",
       "      <td>0.513518</td>\n",
       "      <td>0.424762</td>\n",
       "      <td>-0.464596</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>497</th>\n",
       "      <td>-0.710404</td>\n",
       "      <td>-0.195201</td>\n",
       "      <td>-0.428561</td>\n",
       "      <td>-0.596428</td>\n",
       "      <td>0.060264</td>\n",
       "      <td>0.887190</td>\n",
       "      <td>-0.680190</td>\n",
       "      <td>-0.142824</td>\n",
       "      <td>-0.515042</td>\n",
       "      <td>1.848829</td>\n",
       "      <td>...</td>\n",
       "      <td>1.146522</td>\n",
       "      <td>-0.544637</td>\n",
       "      <td>0.694782</td>\n",
       "      <td>-1.311733</td>\n",
       "      <td>1.699552</td>\n",
       "      <td>0.893150</td>\n",
       "      <td>0.064011</td>\n",
       "      <td>0.524584</td>\n",
       "      <td>0.313673</td>\n",
       "      <td>0.157137</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>498</th>\n",
       "      <td>-0.283998</td>\n",
       "      <td>-0.927219</td>\n",
       "      <td>0.308233</td>\n",
       "      <td>0.592525</td>\n",
       "      <td>0.227898</td>\n",
       "      <td>-0.107540</td>\n",
       "      <td>-0.411937</td>\n",
       "      <td>-0.222544</td>\n",
       "      <td>-1.541023</td>\n",
       "      <td>0.303401</td>\n",
       "      <td>...</td>\n",
       "      <td>1.298499</td>\n",
       "      <td>-0.461651</td>\n",
       "      <td>1.548485</td>\n",
       "      <td>1.273875</td>\n",
       "      <td>-0.392360</td>\n",
       "      <td>-0.127070</td>\n",
       "      <td>0.350758</td>\n",
       "      <td>0.627545</td>\n",
       "      <td>-0.976396</td>\n",
       "      <td>0.780990</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>499</th>\n",
       "      <td>-0.392830</td>\n",
       "      <td>-1.012978</td>\n",
       "      <td>1.466421</td>\n",
       "      <td>2.059365</td>\n",
       "      <td>1.452554</td>\n",
       "      <td>1.891003</td>\n",
       "      <td>-0.093386</td>\n",
       "      <td>1.345279</td>\n",
       "      <td>-0.515042</td>\n",
       "      <td>-0.032785</td>\n",
       "      <td>...</td>\n",
       "      <td>0.082680</td>\n",
       "      <td>-0.352458</td>\n",
       "      <td>-1.354265</td>\n",
       "      <td>1.496511</td>\n",
       "      <td>-0.050502</td>\n",
       "      <td>-0.099311</td>\n",
       "      <td>2.401877</td>\n",
       "      <td>0.827693</td>\n",
       "      <td>0.077160</td>\n",
       "      <td>0.661589</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>500 rows × 52 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "           0         1         2         3         4         5         6   \\\n",
       "0   -0.007459  0.343859  0.502126 -1.431359 -0.084087  0.278542 -0.009557   \n",
       "1    0.017875 -0.103316  1.215653  1.035368 -0.866377  1.068875  0.107804   \n",
       "2   -0.007459 -0.075750 -0.821517  1.240929 -0.149278 -1.229449  0.308995   \n",
       "3   -0.029225 -0.045122  0.065220  1.685042 -0.694087 -1.261244  0.476653   \n",
       "4    1.550795  0.497001 -0.325151 -0.085064 -0.084087  1.404994  0.124570   \n",
       "..        ...       ...       ...       ...       ...       ...       ...   \n",
       "495 -0.163035 -0.333028 -0.133843  1.615252 -1.429812 -0.130251  0.476653   \n",
       "496 -0.571599  0.006947  0.515052 -0.010199 -0.163247  0.423891 -0.043088   \n",
       "497 -0.710404 -0.195201 -0.428561 -0.596428  0.060264  0.887190 -0.680190   \n",
       "498 -0.283998 -0.927219  0.308233  0.592525  0.227898 -0.107540 -0.411937   \n",
       "499 -0.392830 -1.012978  1.466421  2.059365  1.452554  1.891003 -0.093386   \n",
       "\n",
       "           7         8         9   ...        42        43        44  \\\n",
       "0   -0.292773  0.510938  0.098431  ... -0.488936  0.000962  1.050090   \n",
       "1   -0.032734  0.510938 -0.071378  ... -1.237481 -0.024152 -1.590601   \n",
       "2   -0.467397  1.023929 -0.120262  ...  0.901543  0.004238  0.029987   \n",
       "3    0.392438 -0.515042 -0.128838  ... -0.030736  0.025713 -1.110695   \n",
       "4    0.703725 -0.515042 -0.918704  ... -0.684011  1.507821 -0.418568   \n",
       "..        ...       ...       ...  ...       ...       ...       ...   \n",
       "495 -0.748315 -0.002052 -1.133966  ...  0.391172 -0.360829 -1.326130   \n",
       "496  0.200731 -0.002052  1.501493  ...  0.155266 -0.683676 -0.539952   \n",
       "497 -0.142824 -0.515042  1.848829  ...  1.146522 -0.544637  0.694782   \n",
       "498 -0.222544 -1.541023  0.303401  ...  1.298499 -0.461651  1.548485   \n",
       "499  1.345279 -0.515042 -0.032785  ...  0.082680 -0.352458 -1.354265   \n",
       "\n",
       "           45        46        47        48        49        50        51  \n",
       "0   -0.051818 -0.122736  1.319983  0.471559 -0.720571  0.279630  0.250397  \n",
       "1   -0.185906  0.049624  0.089123 -1.227605 -0.760505  0.460598 -0.634866  \n",
       "2    0.562959  0.098256  0.231510  0.029317 -0.740779  0.173916  1.722067  \n",
       "3    0.302375  0.107554 -0.068286  0.381272 -0.649365  0.969458 -0.002535  \n",
       "4   -0.532509 -0.688446  1.199804  0.424744 -0.799476  0.725778  0.260288  \n",
       "..        ...       ...       ...       ...       ...       ...       ...  \n",
       "495  0.818484 -0.825761 -1.564979 -0.596009  0.429321 -0.080515 -1.161925  \n",
       "496  0.201177  2.053568 -0.086248 -1.668594  0.513518  0.424762 -0.464596  \n",
       "497 -1.311733  1.699552  0.893150  0.064011  0.524584  0.313673  0.157137  \n",
       "498  1.273875 -0.392360 -0.127070  0.350758  0.627545 -0.976396  0.780990  \n",
       "499  1.496511 -0.050502 -0.099311  2.401877  0.827693  0.077160  0.661589  \n",
       "\n",
       "[500 rows x 52 columns]"
      ]
     },
     "execution_count": 25,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df_std"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "d3659b19",
   "metadata": {},
   "source": [
    "## Power Transformer Scaler"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "id": "78f9589b",
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.preprocessing import PowerTransformer"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "id": "2bc56f8c",
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "c:\\users\\m477a\\appdata\\local\\programs\\python\\python39\\lib\\site-packages\\sklearn\\preprocessing\\_data.py:3253: RuntimeWarning: divide by zero encountered in log\n",
      "  loglike = -n_samples / 2 * np.log(x_trans.var())\n",
      "c:\\users\\m477a\\appdata\\local\\programs\\python\\python39\\lib\\site-packages\\sklearn\\preprocessing\\_data.py:3218: RuntimeWarning: overflow encountered in power\n",
      "  out[pos] = (np.power(x[pos] + 1, lmbda) - 1) / lmbda\n",
      "c:\\users\\m477a\\appdata\\local\\programs\\python\\python39\\lib\\site-packages\\numpy\\core\\_methods.py:205: RuntimeWarning: overflow encountered in multiply\n",
      "  x = um.multiply(x, x, out=x)\n",
      "c:\\users\\m477a\\appdata\\local\\programs\\python\\python39\\lib\\site-packages\\numpy\\core\\_methods.py:216: RuntimeWarning: overflow encountered in reduce\n",
      "  ret = umr_sum(x, axis, dtype, out, keepdims)\n"
     ]
    }
   ],
   "source": [
    "pt_scl = PowerTransformer().fit(df_train)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "id": "6844fad6",
   "metadata": {},
   "outputs": [],
   "source": [
    "df_pt = pt_scl.transform(df_train)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "id": "efcf5f50",
   "metadata": {},
   "outputs": [],
   "source": [
    "df_pt = pd.DataFrame(df_pt)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "id": "bdef4f01",
   "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></th>\n",
       "      <th>0</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>...</th>\n",
       "      <th>42</th>\n",
       "      <th>43</th>\n",
       "      <th>44</th>\n",
       "      <th>45</th>\n",
       "      <th>46</th>\n",
       "      <th>47</th>\n",
       "      <th>48</th>\n",
       "      <th>49</th>\n",
       "      <th>50</th>\n",
       "      <th>51</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>0.007502</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>-1.459550</td>\n",
       "      <td>-0.104563</td>\n",
       "      <td>4.163336e-17</td>\n",
       "      <td>-5.551115e-17</td>\n",
       "      <td>-0.289912</td>\n",
       "      <td>0.506824</td>\n",
       "      <td>0.094621</td>\n",
       "      <td>...</td>\n",
       "      <td>-0.488981</td>\n",
       "      <td>0.015026</td>\n",
       "      <td>1.050753</td>\n",
       "      <td>-0.020310</td>\n",
       "      <td>-0.135322</td>\n",
       "      <td>1.329509</td>\n",
       "      <td>0.480938</td>\n",
       "      <td>-6.106227e-16</td>\n",
       "      <td>0.278929</td>\n",
       "      <td>0.256864</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>0.032842</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>1.035510</td>\n",
       "      <td>-0.872874</td>\n",
       "      <td>1.942890e-16</td>\n",
       "      <td>3.885781e-16</td>\n",
       "      <td>-0.029606</td>\n",
       "      <td>0.506824</td>\n",
       "      <td>-0.075220</td>\n",
       "      <td>...</td>\n",
       "      <td>-1.237450</td>\n",
       "      <td>-0.010074</td>\n",
       "      <td>-1.583232</td>\n",
       "      <td>-0.155690</td>\n",
       "      <td>0.037057</td>\n",
       "      <td>0.077985</td>\n",
       "      <td>-1.234113</td>\n",
       "      <td>-6.661338e-16</td>\n",
       "      <td>0.460001</td>\n",
       "      <td>-0.630485</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>0.007502</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>1.230585</td>\n",
       "      <td>-0.169537</td>\n",
       "      <td>-2.498002e-16</td>\n",
       "      <td>1.054712e-15</td>\n",
       "      <td>-0.464955</td>\n",
       "      <td>1.024807</td>\n",
       "      <td>-0.124073</td>\n",
       "      <td>...</td>\n",
       "      <td>0.901532</td>\n",
       "      <td>0.018298</td>\n",
       "      <td>0.025050</td>\n",
       "      <td>0.585889</td>\n",
       "      <td>0.085831</td>\n",
       "      <td>0.221061</td>\n",
       "      <td>0.041422</td>\n",
       "      <td>-6.383782e-16</td>\n",
       "      <td>0.173177</td>\n",
       "      <td>1.708662</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>-0.014284</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>1.645672</td>\n",
       "      <td>-0.705780</td>\n",
       "      <td>-2.498002e-16</td>\n",
       "      <td>1.609823e-15</td>\n",
       "      <td>0.395092</td>\n",
       "      <td>-0.519701</td>\n",
       "      <td>-0.132641</td>\n",
       "      <td>...</td>\n",
       "      <td>-0.030795</td>\n",
       "      <td>0.039745</td>\n",
       "      <td>-1.109702</td>\n",
       "      <td>0.331811</td>\n",
       "      <td>0.095162</td>\n",
       "      <td>-0.079655</td>\n",
       "      <td>0.391583</td>\n",
       "      <td>-5.273559e-16</td>\n",
       "      <td>0.969421</td>\n",
       "      <td>0.004466</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>1.531242</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>-0.061653</td>\n",
       "      <td>-0.104563</td>\n",
       "      <td>2.636780e-16</td>\n",
       "      <td>4.440892e-16</td>\n",
       "      <td>0.705316</td>\n",
       "      <td>-0.519701</td>\n",
       "      <td>-0.919385</td>\n",
       "      <td>...</td>\n",
       "      <td>-0.684043</td>\n",
       "      <td>1.490677</td>\n",
       "      <td>-0.422717</td>\n",
       "      <td>-0.511042</td>\n",
       "      <td>-0.695804</td>\n",
       "      <td>1.205871</td>\n",
       "      <td>0.434630</td>\n",
       "      <td>-7.077672e-16</td>\n",
       "      <td>0.725424</td>\n",
       "      <td>0.266717</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>495</th>\n",
       "      <td>-0.148527</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>1.581015</td>\n",
       "      <td>-1.411084</td>\n",
       "      <td>-2.775558e-17</td>\n",
       "      <td>1.609823e-15</td>\n",
       "      <td>-0.746948</td>\n",
       "      <td>-0.008005</td>\n",
       "      <td>-1.132961</td>\n",
       "      <td>...</td>\n",
       "      <td>0.391122</td>\n",
       "      <td>-0.348294</td>\n",
       "      <td>-1.322561</td>\n",
       "      <td>0.831026</td>\n",
       "      <td>-0.830624</td>\n",
       "      <td>-1.549714</td>\n",
       "      <td>-0.588156</td>\n",
       "      <td>5.134781e-16</td>\n",
       "      <td>-0.081275</td>\n",
       "      <td>-1.164236</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>496</th>\n",
       "      <td>-0.561778</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.013483</td>\n",
       "      <td>-0.183437</td>\n",
       "      <td>6.938894e-17</td>\n",
       "      <td>-1.110223e-16</td>\n",
       "      <td>0.203738</td>\n",
       "      <td>-0.008005</td>\n",
       "      <td>1.506457</td>\n",
       "      <td>...</td>\n",
       "      <td>0.155209</td>\n",
       "      <td>-0.675751</td>\n",
       "      <td>-0.543544</td>\n",
       "      <td>0.232009</td>\n",
       "      <td>2.096061</td>\n",
       "      <td>-0.097607</td>\n",
       "      <td>-1.691395</td>\n",
       "      <td>5.828671e-16</td>\n",
       "      <td>0.424141</td>\n",
       "      <td>-0.458942</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>497</th>\n",
       "      <td>-0.703342</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>-0.582079</td>\n",
       "      <td>0.039927</td>\n",
       "      <td>1.665335e-16</td>\n",
       "      <td>-2.275957e-15</td>\n",
       "      <td>-0.139757</td>\n",
       "      <td>-0.519701</td>\n",
       "      <td>1.858305</td>\n",
       "      <td>...</td>\n",
       "      <td>1.146540</td>\n",
       "      <td>-0.534341</td>\n",
       "      <td>0.692333</td>\n",
       "      <td>-1.339392</td>\n",
       "      <td>1.725012</td>\n",
       "      <td>0.891786</td>\n",
       "      <td>0.076071</td>\n",
       "      <td>5.828671e-16</td>\n",
       "      <td>0.312988</td>\n",
       "      <td>0.163904</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>498</th>\n",
       "      <td>-0.270347</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.608788</td>\n",
       "      <td>0.208797</td>\n",
       "      <td>-1.387779e-17</td>\n",
       "      <td>-1.387779e-15</td>\n",
       "      <td>-0.219569</td>\n",
       "      <td>-1.533766</td>\n",
       "      <td>0.299927</td>\n",
       "      <td>...</td>\n",
       "      <td>1.298540</td>\n",
       "      <td>-0.450219</td>\n",
       "      <td>1.555594</td>\n",
       "      <td>1.258317</td>\n",
       "      <td>-0.403467</td>\n",
       "      <td>-0.138381</td>\n",
       "      <td>0.361342</td>\n",
       "      <td>6.661338e-16</td>\n",
       "      <td>-0.976440</td>\n",
       "      <td>0.783518</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>499</th>\n",
       "      <td>-0.380330</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>1.988890</td>\n",
       "      <td>1.478167</td>\n",
       "      <td>3.469447e-16</td>\n",
       "      <td>-2.775558e-16</td>\n",
       "      <td>1.342787</td>\n",
       "      <td>-0.519701</td>\n",
       "      <td>-0.036640</td>\n",
       "      <td>...</td>\n",
       "      <td>0.082622</td>\n",
       "      <td>-0.339844</td>\n",
       "      <td>-1.350325</td>\n",
       "      <td>1.462853</td>\n",
       "      <td>-0.063171</td>\n",
       "      <td>-0.110659</td>\n",
       "      <td>2.347584</td>\n",
       "      <td>8.049117e-16</td>\n",
       "      <td>0.076402</td>\n",
       "      <td>0.665330</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>500 rows × 52 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "           0    1    2         3         4             5             6   \\\n",
       "0    0.007502  0.0  0.0 -1.459550 -0.104563  4.163336e-17 -5.551115e-17   \n",
       "1    0.032842  0.0  0.0  1.035510 -0.872874  1.942890e-16  3.885781e-16   \n",
       "2    0.007502  0.0  0.0  1.230585 -0.169537 -2.498002e-16  1.054712e-15   \n",
       "3   -0.014284  0.0  0.0  1.645672 -0.705780 -2.498002e-16  1.609823e-15   \n",
       "4    1.531242  0.0  0.0 -0.061653 -0.104563  2.636780e-16  4.440892e-16   \n",
       "..        ...  ...  ...       ...       ...           ...           ...   \n",
       "495 -0.148527  0.0  0.0  1.581015 -1.411084 -2.775558e-17  1.609823e-15   \n",
       "496 -0.561778  0.0  0.0  0.013483 -0.183437  6.938894e-17 -1.110223e-16   \n",
       "497 -0.703342  0.0  0.0 -0.582079  0.039927  1.665335e-16 -2.275957e-15   \n",
       "498 -0.270347  0.0  0.0  0.608788  0.208797 -1.387779e-17 -1.387779e-15   \n",
       "499 -0.380330  0.0  0.0  1.988890  1.478167  3.469447e-16 -2.775558e-16   \n",
       "\n",
       "           7         8         9   ...        42        43        44  \\\n",
       "0   -0.289912  0.506824  0.094621  ... -0.488981  0.015026  1.050753   \n",
       "1   -0.029606  0.506824 -0.075220  ... -1.237450 -0.010074 -1.583232   \n",
       "2   -0.464955  1.024807 -0.124073  ...  0.901532  0.018298  0.025050   \n",
       "3    0.395092 -0.519701 -0.132641  ... -0.030795  0.039745 -1.109702   \n",
       "4    0.705316 -0.519701 -0.919385  ... -0.684043  1.490677 -0.422717   \n",
       "..        ...       ...       ...  ...       ...       ...       ...   \n",
       "495 -0.746948 -0.008005 -1.132961  ...  0.391122 -0.348294 -1.322561   \n",
       "496  0.203738 -0.008005  1.506457  ...  0.155209 -0.675751 -0.543544   \n",
       "497 -0.139757 -0.519701  1.858305  ...  1.146540 -0.534341  0.692333   \n",
       "498 -0.219569 -1.533766  0.299927  ...  1.298540 -0.450219  1.555594   \n",
       "499  1.342787 -0.519701 -0.036640  ...  0.082622 -0.339844 -1.350325   \n",
       "\n",
       "           45        46        47        48            49        50        51  \n",
       "0   -0.020310 -0.135322  1.329509  0.480938 -6.106227e-16  0.278929  0.256864  \n",
       "1   -0.155690  0.037057  0.077985 -1.234113 -6.661338e-16  0.460001 -0.630485  \n",
       "2    0.585889  0.085831  0.221061  0.041422 -6.383782e-16  0.173177  1.708662  \n",
       "3    0.331811  0.095162 -0.079655  0.391583 -5.273559e-16  0.969421  0.004466  \n",
       "4   -0.511042 -0.695804  1.205871  0.434630 -7.077672e-16  0.725424  0.266717  \n",
       "..        ...       ...       ...       ...           ...       ...       ...  \n",
       "495  0.831026 -0.830624 -1.549714 -0.588156  5.134781e-16 -0.081275 -1.164236  \n",
       "496  0.232009  2.096061 -0.097607 -1.691395  5.828671e-16  0.424141 -0.458942  \n",
       "497 -1.339392  1.725012  0.891786  0.076071  5.828671e-16  0.312988  0.163904  \n",
       "498  1.258317 -0.403467 -0.138381  0.361342  6.661338e-16 -0.976440  0.783518  \n",
       "499  1.462853 -0.063171 -0.110659  2.347584  8.049117e-16  0.076402  0.665330  \n",
       "\n",
       "[500 rows x 52 columns]"
      ]
     },
     "execution_count": 32,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df_pt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "id": "2725c237",
   "metadata": {},
   "outputs": [],
   "source": [
    "# it seem that the Robust scaling has similar with Standard Scaling but with smallest \n",
    "# data form"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.9.6"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}