3. Transformation.ipynb

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    "# Transformation of Features\n",
    "## Why Transformation of Features Are Required?\n",
    "\n",
    "    1. Linear Regression---Gradient Descent ----Global Minima\n",
    "    2. Algorithms like KNN,K Means,Hierarichal Clustering--- Eucledian Distance\n",
    "\n",
    "Every Point has some vectors and Directiom\n",
    "\n",
    "Deep Learning Techniques(Standardization, Scaling) \n",
    "\n",
    "    1. ANN--->GLobal Minima, Gradient \n",
    "    2. CNN \n",
    "    3. RNN\n",
    "\n",
    "0-255 pixels\n",
    "\n",
    "## Types Of Transformation\n",
    "    1. Normalization And Standardization\n",
    "    2. Scaling to Minimum And Maximum values\n",
    "    3. Scaling To Median And Quantiles\n",
    "    4. Guassian Transformation Logarithmic Transformation Reciprocal Trnasformation Square Root Transformation Exponential Transformation Box Cox Transformation"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "dc9f9cfe",
   "metadata": {},
   "source": [
    "## 1. Standardization\n",
    "    - try to bring all the variables and features to a similar scale. \n",
    "    - standardization means centering the variable at zero and std dev at 1.\n",
    "    \n",
    "                      z = (z-z_mean)/std"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "ff01fdda",
   "metadata": {},
   "outputs": [
    {
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       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>Survived</th>\n",
       "      <th>Pclass</th>\n",
       "      <th>Age</th>\n",
       "      <th>Fare</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>0</td>\n",
       "      <td>3</td>\n",
       "      <td>22.0</td>\n",
       "      <td>7.2500</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>38.0</td>\n",
       "      <td>71.2833</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>1</td>\n",
       "      <td>3</td>\n",
       "      <td>26.0</td>\n",
       "      <td>7.9250</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>35.0</td>\n",
       "      <td>53.1000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>0</td>\n",
       "      <td>3</td>\n",
       "      <td>35.0</td>\n",
       "      <td>8.0500</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
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       "   Survived  Pclass   Age     Fare\n",
       "0         0       3  22.0   7.2500\n",
       "1         1       1  38.0  71.2833\n",
       "2         1       3  26.0   7.9250\n",
       "3         1       1  35.0  53.1000\n",
       "4         0       3  35.0   8.0500"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "import pandas as pd\n",
    "df=pd.read_csv('Dataset/titanic_train.csv', usecols=['Pclass','Age','Fare','Survived'])\n",
    "df.head()  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "aaa08566",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Survived      0\n",
       "Pclass        0\n",
       "Age         177\n",
       "Fare          0\n",
       "dtype: int64"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df.isnull().sum()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "29b4bc73",
   "metadata": {},
   "outputs": [],
   "source": [
    "df['Age'].fillna(df.Age.median(), inplace = True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "8be88302",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Survived    0\n",
       "Pclass      0\n",
       "Age         0\n",
       "Fare        0\n",
       "dtype: int64"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df.isnull().sum()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "241fca5f",
   "metadata": {},
   "outputs": [],
   "source": [
    "### Standardization: we use the standardscaler from sklearn library\n",
    "from sklearn.preprocessing import StandardScaler"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "91ad52da",
   "metadata": {},
   "outputs": [],
   "source": [
    "scaler = StandardScaler()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "eea13fde",
   "metadata": {},
   "outputs": [],
   "source": [
    "df_scaled = scaler.fit_transform(df)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "7ea56dc5",
   "metadata": {},
   "outputs": [
    {
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       "array([[-0.78927234,  0.82737724, -0.56573646, -0.50244517],\n",
       "       [ 1.2669898 , -1.56610693,  0.66386103,  0.78684529],\n",
       "       [ 1.2669898 ,  0.82737724, -0.25833709, -0.48885426],\n",
       "       ...,\n",
       "       [-0.78927234,  0.82737724, -0.1046374 , -0.17626324],\n",
       "       [ 1.2669898 , -1.56610693, -0.25833709, -0.04438104],\n",
       "       [-0.78927234,  0.82737724,  0.20276197, -0.49237783]])"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df_scaled"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "id": "ac2404b7",
   "metadata": {},
   "outputs": [
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       "      <td>-0.565736</td>\n",
       "      <td>-0.502445</td>\n",
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       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>1.266990</td>\n",
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       "      <td>0.663861</td>\n",
       "      <td>0.786845</td>\n",
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       "      <td>-0.488854</td>\n",
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       "      <td>0.433312</td>\n",
       "      <td>0.420730</td>\n",
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       "      <th>4</th>\n",
       "      <td>-0.789272</td>\n",
       "      <td>0.827377</td>\n",
       "      <td>0.433312</td>\n",
       "      <td>-0.486337</td>\n",
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       "      <th>886</th>\n",
       "      <td>-0.789272</td>\n",
       "      <td>-0.369365</td>\n",
       "      <td>-0.181487</td>\n",
       "      <td>-0.386671</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>887</th>\n",
       "      <td>1.266990</td>\n",
       "      <td>-1.566107</td>\n",
       "      <td>-0.796286</td>\n",
       "      <td>-0.044381</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>888</th>\n",
       "      <td>-0.789272</td>\n",
       "      <td>0.827377</td>\n",
       "      <td>-0.104637</td>\n",
       "      <td>-0.176263</td>\n",
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       "      <th>889</th>\n",
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       "      <td>-1.566107</td>\n",
       "      <td>-0.258337</td>\n",
       "      <td>-0.044381</td>\n",
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       "      <td>-0.789272</td>\n",
       "      <td>0.827377</td>\n",
       "      <td>0.202762</td>\n",
       "      <td>-0.492378</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>891 rows × 4 columns</p>\n",
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       "            0         1         2         3\n",
       "0   -0.789272  0.827377 -0.565736 -0.502445\n",
       "1    1.266990 -1.566107  0.663861  0.786845\n",
       "2    1.266990  0.827377 -0.258337 -0.488854\n",
       "3    1.266990 -1.566107  0.433312  0.420730\n",
       "4   -0.789272  0.827377  0.433312 -0.486337\n",
       "..        ...       ...       ...       ...\n",
       "886 -0.789272 -0.369365 -0.181487 -0.386671\n",
       "887  1.266990 -1.566107 -0.796286 -0.044381\n",
       "888 -0.789272  0.827377 -0.104637 -0.176263\n",
       "889  1.266990 -1.566107 -0.258337 -0.044381\n",
       "890 -0.789272  0.827377  0.202762 -0.492378\n",
       "\n",
       "[891 rows x 4 columns]"
      ]
     },
     "execution_count": 19,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# looking into the scaled feature\n",
    "pd.DataFrame(df_scaled)\n",
    "# here every feature is corresponding to the feature in the original dataframe\n",
    "# it is evident froomobservation that feature transfomation is done feature wise not row wise"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "id": "64f42360",
   "metadata": {},
   "outputs": [],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "id": "e57356a9",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(array([216.,   0.,   0.,   0.,   0.,   0.,   0.,   0.,   0.,   0., 184.,\n",
       "          0.,   0.,   0.,   0.,   0.,   0.,   0.,   0., 491.]),\n",
       " array([-1.56610693, -1.44643272, -1.32675851, -1.2070843 , -1.08741009,\n",
       "        -0.96773588, -0.84806167, -0.72838747, -0.60871326, -0.48903905,\n",
       "        -0.36936484, -0.24969063, -0.13001642, -0.01034222,  0.10933199,\n",
       "         0.2290062 ,  0.34868041,  0.46835462,  0.58802883,  0.70770304,\n",
       "         0.82737724]),\n",
       " <BarContainer object of 20 artists>)"
      ]
     },
     "execution_count": 22,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.hist(df_scaled[:,1], bins = 20)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "id": "3d4e54ac",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(array([ 40.,  14.,  15.,  31.,  79.,  98., 262.,  84.,  73.,  45.,  35.,\n",
       "         35.,  29.,  16.,  13.,  11.,   4.,   5.,   1.,   1.]),\n",
       " array([-2.22415608, -1.91837055, -1.61258503, -1.3067995 , -1.00101397,\n",
       "        -0.69522845, -0.38944292, -0.08365739,  0.22212813,  0.52791366,\n",
       "         0.83369919,  1.13948471,  1.44527024,  1.75105577,  2.05684129,\n",
       "         2.36262682,  2.66841235,  2.97419787,  3.2799834 ,  3.58576892,\n",
       "         3.89155445]),\n",
       " <BarContainer object of 20 artists>)"
      ]
     },
     "execution_count": 23,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.hist(df_scaled[:,2], bins = 20)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "id": "7c5833fb",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(array([562., 170.,  67.,  39.,  15.,  16.,   2.,   0.,   9.,   2.,   6.,\n",
       "          0.,   0.,   0.,   0.,   0.,   0.,   0.,   0.,   3.]),\n",
       " array([-0.64842165, -0.13264224,  0.38313716,  0.89891657,  1.41469598,\n",
       "         1.93047539,  2.4462548 ,  2.96203421,  3.47781362,  3.99359303,\n",
       "         4.50937244,  5.02515184,  5.54093125,  6.05671066,  6.57249007,\n",
       "         7.08826948,  7.60404889,  8.1198283 ,  8.63560771,  9.15138712,\n",
       "         9.66716653]),\n",
       " <BarContainer object of 20 artists>)"
      ]
     },
     "execution_count": 24,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.hist(df_scaled[:,3], bins = 20)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "id": "196acb90",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(array([562., 170.,  67.,  39.,  15.,  16.,   2.,   0.,   9.,   2.,   6.,\n",
       "          0.,   0.,   0.,   0.,   0.,   0.,   0.,   0.,   3.]),\n",
       " array([  0.     ,  25.61646,  51.23292,  76.84938, 102.46584, 128.0823 ,\n",
       "        153.69876, 179.31522, 204.93168, 230.54814, 256.1646 , 281.78106,\n",
       "        307.39752, 333.01398, 358.63044, 384.2469 , 409.86336, 435.47982,\n",
       "        461.09628, 486.71274, 512.3292 ]),\n",
       " <BarContainer object of 20 artists>)"
      ]
     },
     "execution_count": 26,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.hist(df['Fare'], bins = 20)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "2e209483",
   "metadata": {},
   "source": [
    "## 2. Min max Scaling"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "36590be7",
   "metadata": {},
   "source": [
    "    - this scales the value between 0 to 1.\n",
    "            X_scaled = (X - X.min )/ (X.max - X.min)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "id": "efcf35ed",
   "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>Survived</th>\n",
       "      <th>Pclass</th>\n",
       "      <th>Age</th>\n",
       "      <th>Fare</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>0.0</td>\n",
       "      <td>1.0</td>\n",
       "      <td>0.271174</td>\n",
       "      <td>0.014151</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>1.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.472229</td>\n",
       "      <td>0.139136</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>1.0</td>\n",
       "      <td>1.0</td>\n",
       "      <td>0.321438</td>\n",
       "      <td>0.015469</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>1.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.434531</td>\n",
       "      <td>0.103644</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>0.0</td>\n",
       "      <td>1.0</td>\n",
       "      <td>0.434531</td>\n",
       "      <td>0.015713</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "   Survived  Pclass       Age      Fare\n",
       "0       0.0     1.0  0.271174  0.014151\n",
       "1       1.0     0.0  0.472229  0.139136\n",
       "2       1.0     1.0  0.321438  0.015469\n",
       "3       1.0     0.0  0.434531  0.103644\n",
       "4       0.0     1.0  0.434531  0.015713"
      ]
     },
     "execution_count": 28,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from sklearn.preprocessing import MinMaxScaler\n",
    "min_max = MinMaxScaler()\n",
    "df_minmax = pd.DataFrame(min_max.fit_transform(df), columns= df.columns)\n",
    "df_minmax.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "id": "23668243",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(array([216.,   0.,   0.,   0.,   0.,   0.,   0.,   0.,   0.,   0., 184.,\n",
       "          0.,   0.,   0.,   0.,   0.,   0.,   0.,   0., 491.]),\n",
       " array([0.  , 0.05, 0.1 , 0.15, 0.2 , 0.25, 0.3 , 0.35, 0.4 , 0.45, 0.5 ,\n",
       "        0.55, 0.6 , 0.65, 0.7 , 0.75, 0.8 , 0.85, 0.9 , 0.95, 1.  ]),\n",
       " <BarContainer object of 20 artists>)"
      ]
     },
     "execution_count": 29,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.hist(df_minmax['Pclass'], bins = 20)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "id": "f9944de7",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(array([ 40.,  14.,  15.,  31.,  79.,  98., 262.,  84.,  73.,  45.,  35.,\n",
       "         35.,  29.,  16.,  13.,  11.,   4.,   5.,   1.,   1.]),\n",
       " array([0.  , 0.05, 0.1 , 0.15, 0.2 , 0.25, 0.3 , 0.35, 0.4 , 0.45, 0.5 ,\n",
       "        0.55, 0.6 , 0.65, 0.7 , 0.75, 0.8 , 0.85, 0.9 , 0.95, 1.  ]),\n",
       " <BarContainer object of 20 artists>)"
      ]
     },
     "execution_count": 30,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.hist(df_minmax['Age'], bins = 20)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "id": "c62c72fd",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(array([562., 170.,  67.,  39.,  15.,  16.,   2.,   0.,   9.,   2.,   6.,\n",
       "          0.,   0.,   0.,   0.,   0.,   0.,   0.,   0.,   3.]),\n",
       " array([0.  , 0.05, 0.1 , 0.15, 0.2 , 0.25, 0.3 , 0.35, 0.4 , 0.45, 0.5 ,\n",
       "        0.55, 0.6 , 0.65, 0.7 , 0.75, 0.8 , 0.85, 0.9 , 0.95, 1.  ]),\n",
       " <BarContainer object of 20 artists>)"
      ]
     },
     "execution_count": 31,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.hist(df_minmax['Fare'],bins=20)\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "4d999465",
   "metadata": {},
   "source": [
    "## 3. Robust Scaler"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "90cfdbc5",
   "metadata": {},
   "source": [
    "it is used to scale the feature to median and quantiles scaling using median and quantiles consists of substracting the median to all the observartions, and then dividing by interquantile diffrence. the interquantile diffrence is the diffrence between the 75th and 25th quantile:\n",
    "    "
   ]
  },
  {
   "cell_type": "markdown",
   "id": "92e291a7",
   "metadata": {},
   "source": [
    "IQR = 75th quantile - 25th quantile\n",
    "\n",
    "X_scaled = (X - X.median) / IQR\n",
    "\n",
    "0,1,2,3,4,5,6,7,8,9,10\n",
    "\n",
    "9-90 percentile---90% of all values in this group is less than 9 1-10 precentile---10% of all values in this group is less than 1 4-40%"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "id": "89d6456a",
   "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>Survived</th>\n",
       "      <th>Pclass</th>\n",
       "      <th>Age</th>\n",
       "      <th>Fare</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>-0.461538</td>\n",
       "      <td>-0.312011</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>1.0</td>\n",
       "      <td>-2.0</td>\n",
       "      <td>0.769231</td>\n",
       "      <td>2.461242</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>1.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>-0.153846</td>\n",
       "      <td>-0.282777</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>1.0</td>\n",
       "      <td>-2.0</td>\n",
       "      <td>0.538462</td>\n",
       "      <td>1.673732</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.538462</td>\n",
       "      <td>-0.277363</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "   Survived  Pclass       Age      Fare\n",
       "0       0.0     0.0 -0.461538 -0.312011\n",
       "1       1.0    -2.0  0.769231  2.461242\n",
       "2       1.0     0.0 -0.153846 -0.282777\n",
       "3       1.0    -2.0  0.538462  1.673732\n",
       "4       0.0     0.0  0.538462 -0.277363"
      ]
     },
     "execution_count": 33,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from sklearn.preprocessing import RobustScaler\n",
    "scaler = RobustScaler()\n",
    "df_robust_scaler = pd.DataFrame(scaler.fit_transform(df), columns= df.columns)\n",
    "df_robust_scaler.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "id": "848ad298",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(array([ 40.,  14.,  15.,  31.,  79.,  98., 262.,  84.,  73.,  45.,  35.,\n",
       "         35.,  29.,  16.,  13.,  11.,   4.,   5.,   1.,   1.]),\n",
       " array([-2.12153846, -1.81546154, -1.50938462, -1.20330769, -0.89723077,\n",
       "        -0.59115385, -0.28507692,  0.021     ,  0.32707692,  0.63315385,\n",
       "         0.93923077,  1.24530769,  1.55138462,  1.85746154,  2.16353846,\n",
       "         2.46961538,  2.77569231,  3.08176923,  3.38784615,  3.69392308,\n",
       "         4.        ]),\n",
       " <BarContainer object of 20 artists>)"
      ]
     },
     "execution_count": 34,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.hist(df_robust_scaler['Age'], bins=20)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "id": "aacf94a0",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(array([562., 170.,  67.,  39.,  15.,  16.,   2.,   0.,   9.,   2.,   6.,\n",
       "          0.,   0.,   0.,   0.,   0.,   0.,   0.,   0.,   3.]),\n",
       " array([-0.62600478,  0.48343237,  1.59286952,  2.70230667,  3.81174382,\n",
       "         4.92118096,  6.03061811,  7.14005526,  8.24949241,  9.35892956,\n",
       "        10.46836671, 11.57780386, 12.68724101, 13.79667816, 14.90611531,\n",
       "        16.01555246, 17.12498961, 18.23442675, 19.3438639 , 20.45330105,\n",
       "        21.5627382 ]),\n",
       " <BarContainer object of 20 artists>)"
      ]
     },
     "execution_count": 36,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.hist(df_robust_scaler['Fare'], bins = 20)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "c54e44b5",
   "metadata": {},
   "source": [
    "## 4. Gaussian Transformaton (or Normal Distribution)\n",
    "- Some machine learning algorithms like linear and logistic assume that the features are normally distributed \n",
    "    - Accuracy \n",
    "    - Performance\n",
    "- Some of the machine learning algorith works well with  normally distributed features\n",
    "\n",
    "- if data is not normally distributed them below methods can be use to make it normal distribution or  gaussian distribution\n",
    "    - logarithmic transformation\n",
    "    - reciprocal transformation\n",
    "    - square root transformation\n",
    "    - exponential transformation (more general, you can use any exponent)\n",
    "    - boxcox transformation"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "420b5498",
   "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>Survived</th>\n",
       "      <th>Age</th>\n",
       "      <th>Fare</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>0</td>\n",
       "      <td>22.0</td>\n",
       "      <td>7.2500</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>1</td>\n",
       "      <td>38.0</td>\n",
       "      <td>71.2833</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>1</td>\n",
       "      <td>26.0</td>\n",
       "      <td>7.9250</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>1</td>\n",
       "      <td>35.0</td>\n",
       "      <td>53.1000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>0</td>\n",
       "      <td>35.0</td>\n",
       "      <td>8.0500</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "   Survived   Age     Fare\n",
       "0         0  22.0   7.2500\n",
       "1         1  38.0  71.2833\n",
       "2         1  26.0   7.9250\n",
       "3         1  35.0  53.1000\n",
       "4         0  35.0   8.0500"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "import pandas as pd\n",
    "import matplotlib.pyplot as plt\n",
    "df=pd.read_csv('Dataset/titanic_train.csv',usecols=['Age','Fare','Survived'])\n",
    "df.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "6899eb05",
   "metadata": {},
   "outputs": [],
   "source": [
    "## fillnan\n",
    "df['Age'] = df['Age'].fillna(df['Age'].median())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "bf938674",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Survived    0\n",
       "Age         0\n",
       "Fare        0\n",
       "dtype: int64"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df.isnull().sum()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "2247f25d",
   "metadata": {},
   "outputs": [],
   "source": [
    "import scipy.stats as stat\n",
    "import pylab "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "fb3ff7ac",
   "metadata": {},
   "outputs": [],
   "source": [
    "#### If you want to check whether feature is guassian or normal distributed\n",
    "#### Q-Q plot\n",
    "def plot_data(df,feature):\n",
    "    plt.figure(figsize=(10,6))\n",
    "    plt.subplot(1,2,1)\n",
    "    df[feature].hist()\n",
    "    plt.subplot(1,2,2)\n",
    "    stat.probplot(df[feature],dist='norm',plot=pylab)\n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "a81fca14",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1000x600 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_data(df,'Age')"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "4b35eb75",
   "metadata": {},
   "source": [
    "## Logrithmic Transformation\n",
    "- works well if data is right or left skwed data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "id": "712ace8d",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1000x600 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np\n",
    "df['Age_log'] = np.log(df['Age'])\n",
    "plot_data(df,'Age_log')"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "db05c8b1",
   "metadata": {},
   "source": [
    "## Reciprocal Transformation"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "id": "007aa124",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1000x600 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "df['Age_Reciprocal'] = 1/df.Age\n",
    "plot_data(df,'Age_Reciprocal')"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "58e5232a",
   "metadata": {},
   "source": [
    "## Square Root Transformation"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "id": "e5869513",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1000x600 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "df['Age_square'] = df.Age**(1/2)\n",
    "plot_data(df,'Age_square')"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "bd328083",
   "metadata": {},
   "source": [
    "## Exponential Transformation"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "id": "9ff7550e",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1000x600 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "df['Age_exponential']=df.Age**(1/1.2)\n",
    "plot_data(df,'Age_exponential')"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "b3b45850",
   "metadata": {},
   "source": [
    "## BoxCOx Transformation\n",
    "The Box-Cox transformation is defined as:\n",
    "\n",
    "T(Y)=(Y exp(λ)−1)/λ\n",
    "\n",
    "where Y is the response variable and λ is the transformation parameter. λ varies from -5 to 5. In the transformation, all values of λ are considered and the optimal value for a given variable is selected."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "id": "27d79ba8",
   "metadata": {},
   "outputs": [],
   "source": [
    "df['Age_Boxcox'], parameters = stat.boxcox(df['Age'])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "id": "95bc9250",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.7964531473656952\n"
     ]
    }
   ],
   "source": [
    "print(parameters)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "id": "c5b3b91e",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1000x600 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_data(df,'Age_Boxcox')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "id": "486eb8d1",
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1000x600 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_data(df,'Fare')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "id": "55b77374",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1000x600 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "## Fare\n",
    "df['Fare_log']=np.log1p(df['Fare'])\n",
    "plot_data(df,'Fare_log')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "id": "ff8441e0",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1000x600 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "df['Fare_Boxcox'],parameters=stat.boxcox(df['Fare']+1)\n",
    "plot_data(df,'Fare_Boxcox')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "7cdf7e57",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "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": "3.9.13"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}