用户流失预测(VAE).ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 52,
   "metadata": {},
   "outputs": [],
   "source": [
    "import pandas as pd\n",
    "import numpy as np\n",
    "from sklearn.preprocessing import StandardScaler,MinMaxScaler\n",
    "import collections\n",
    "%matplotlib inline\n",
    "import matplotlib.pyplot as plt\n",
    "import seaborn as sns\n",
    "from sklearn import preprocessing\n",
    "from sklearn.metrics import (confusion_matrix, precision_recall_curve, auc,\n",
    "                             roc_curve, recall_score, classification_report, f1_score,\n",
    "                             precision_recall_fscore_support, accuracy_score)\n",
    "from sklearn.model_selection import train_test_split\n",
    "from sklearn.preprocessing import StandardScaler,MinMaxScaler\n",
    "from keras.layers import Input, Dense, Lambda\n",
    "from keras.models import Model\n",
    "from keras.objectives import binary_crossentropy\n",
    "from keras.callbacks import LearningRateScheduler\n",
    "from keras.utils.vis_utils import model_to_dot\n",
    "from keras.callbacks import EarlyStopping, ModelCheckpoint\n",
    "import keras.backend as K\n",
    "from keras.callbacks import Callback\n",
    "import matplotlib\n",
    "matplotlib.rcParams['figure.figsize'] = (10.0, 6.0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 54,
   "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>customerID</th>\n",
       "      <th>gender</th>\n",
       "      <th>SeniorCitizen</th>\n",
       "      <th>Partner</th>\n",
       "      <th>Dependents</th>\n",
       "      <th>tenure</th>\n",
       "      <th>PhoneService</th>\n",
       "      <th>MultipleLines</th>\n",
       "      <th>InternetService</th>\n",
       "      <th>OnlineSecurity</th>\n",
       "      <th>...</th>\n",
       "      <th>DeviceProtection</th>\n",
       "      <th>TechSupport</th>\n",
       "      <th>StreamingTV</th>\n",
       "      <th>StreamingMovies</th>\n",
       "      <th>Contract</th>\n",
       "      <th>PaperlessBilling</th>\n",
       "      <th>PaymentMethod</th>\n",
       "      <th>MonthlyCharges</th>\n",
       "      <th>TotalCharges</th>\n",
       "      <th>Churn</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>7590-VHVEG</td>\n",
       "      <td>Female</td>\n",
       "      <td>0</td>\n",
       "      <td>Yes</td>\n",
       "      <td>No</td>\n",
       "      <td>1</td>\n",
       "      <td>No</td>\n",
       "      <td>No phone service</td>\n",
       "      <td>DSL</td>\n",
       "      <td>No</td>\n",
       "      <td>...</td>\n",
       "      <td>No</td>\n",
       "      <td>No</td>\n",
       "      <td>No</td>\n",
       "      <td>No</td>\n",
       "      <td>Month-to-month</td>\n",
       "      <td>Yes</td>\n",
       "      <td>Electronic check</td>\n",
       "      <td>29.85</td>\n",
       "      <td>29.85</td>\n",
       "      <td>No</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>5575-GNVDE</td>\n",
       "      <td>Male</td>\n",
       "      <td>0</td>\n",
       "      <td>No</td>\n",
       "      <td>No</td>\n",
       "      <td>34</td>\n",
       "      <td>Yes</td>\n",
       "      <td>No</td>\n",
       "      <td>DSL</td>\n",
       "      <td>Yes</td>\n",
       "      <td>...</td>\n",
       "      <td>Yes</td>\n",
       "      <td>No</td>\n",
       "      <td>No</td>\n",
       "      <td>No</td>\n",
       "      <td>One year</td>\n",
       "      <td>No</td>\n",
       "      <td>Mailed check</td>\n",
       "      <td>56.95</td>\n",
       "      <td>1889.5</td>\n",
       "      <td>No</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>3668-QPYBK</td>\n",
       "      <td>Male</td>\n",
       "      <td>0</td>\n",
       "      <td>No</td>\n",
       "      <td>No</td>\n",
       "      <td>2</td>\n",
       "      <td>Yes</td>\n",
       "      <td>No</td>\n",
       "      <td>DSL</td>\n",
       "      <td>Yes</td>\n",
       "      <td>...</td>\n",
       "      <td>No</td>\n",
       "      <td>No</td>\n",
       "      <td>No</td>\n",
       "      <td>No</td>\n",
       "      <td>Month-to-month</td>\n",
       "      <td>Yes</td>\n",
       "      <td>Mailed check</td>\n",
       "      <td>53.85</td>\n",
       "      <td>108.15</td>\n",
       "      <td>Yes</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>7795-CFOCW</td>\n",
       "      <td>Male</td>\n",
       "      <td>0</td>\n",
       "      <td>No</td>\n",
       "      <td>No</td>\n",
       "      <td>45</td>\n",
       "      <td>No</td>\n",
       "      <td>No phone service</td>\n",
       "      <td>DSL</td>\n",
       "      <td>Yes</td>\n",
       "      <td>...</td>\n",
       "      <td>Yes</td>\n",
       "      <td>Yes</td>\n",
       "      <td>No</td>\n",
       "      <td>No</td>\n",
       "      <td>One year</td>\n",
       "      <td>No</td>\n",
       "      <td>Bank transfer (automatic)</td>\n",
       "      <td>42.30</td>\n",
       "      <td>1840.75</td>\n",
       "      <td>No</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>9237-HQITU</td>\n",
       "      <td>Female</td>\n",
       "      <td>0</td>\n",
       "      <td>No</td>\n",
       "      <td>No</td>\n",
       "      <td>2</td>\n",
       "      <td>Yes</td>\n",
       "      <td>No</td>\n",
       "      <td>Fiber optic</td>\n",
       "      <td>No</td>\n",
       "      <td>...</td>\n",
       "      <td>No</td>\n",
       "      <td>No</td>\n",
       "      <td>No</td>\n",
       "      <td>No</td>\n",
       "      <td>Month-to-month</td>\n",
       "      <td>Yes</td>\n",
       "      <td>Electronic check</td>\n",
       "      <td>70.70</td>\n",
       "      <td>151.65</td>\n",
       "      <td>Yes</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>5 rows × 21 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "   customerID  gender  SeniorCitizen Partner Dependents  tenure PhoneService  \\\n",
       "0  7590-VHVEG  Female              0     Yes         No       1           No   \n",
       "1  5575-GNVDE    Male              0      No         No      34          Yes   \n",
       "2  3668-QPYBK    Male              0      No         No       2          Yes   \n",
       "3  7795-CFOCW    Male              0      No         No      45           No   \n",
       "4  9237-HQITU  Female              0      No         No       2          Yes   \n",
       "\n",
       "      MultipleLines InternetService OnlineSecurity  ...  DeviceProtection  \\\n",
       "0  No phone service             DSL             No  ...                No   \n",
       "1                No             DSL            Yes  ...               Yes   \n",
       "2                No             DSL            Yes  ...                No   \n",
       "3  No phone service             DSL            Yes  ...               Yes   \n",
       "4                No     Fiber optic             No  ...                No   \n",
       "\n",
       "  TechSupport StreamingTV StreamingMovies        Contract PaperlessBilling  \\\n",
       "0          No          No              No  Month-to-month              Yes   \n",
       "1          No          No              No        One year               No   \n",
       "2          No          No              No  Month-to-month              Yes   \n",
       "3         Yes          No              No        One year               No   \n",
       "4          No          No              No  Month-to-month              Yes   \n",
       "\n",
       "               PaymentMethod MonthlyCharges  TotalCharges Churn  \n",
       "0           Electronic check          29.85         29.85    No  \n",
       "1               Mailed check          56.95        1889.5    No  \n",
       "2               Mailed check          53.85        108.15   Yes  \n",
       "3  Bank transfer (automatic)          42.30       1840.75    No  \n",
       "4           Electronic check          70.70        151.65   Yes  \n",
       "\n",
       "[5 rows x 21 columns]"
      ]
     },
     "execution_count": 54,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df = pd.read_csv('./data/WA_Fn-UseC_-Telco-Customer-Churn.csv')\n",
    "df.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 55,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "<class 'pandas.core.frame.DataFrame'>\n",
      "RangeIndex: 7043 entries, 0 to 7042\n",
      "Data columns (total 21 columns):\n",
      "customerID          7043 non-null object\n",
      "gender              7043 non-null object\n",
      "SeniorCitizen       7043 non-null int64\n",
      "Partner             7043 non-null object\n",
      "Dependents          7043 non-null object\n",
      "tenure              7043 non-null int64\n",
      "PhoneService        7043 non-null object\n",
      "MultipleLines       7043 non-null object\n",
      "InternetService     7043 non-null object\n",
      "OnlineSecurity      7043 non-null object\n",
      "OnlineBackup        7043 non-null object\n",
      "DeviceProtection    7043 non-null object\n",
      "TechSupport         7043 non-null object\n",
      "StreamingTV         7043 non-null object\n",
      "StreamingMovies     7043 non-null object\n",
      "Contract            7043 non-null object\n",
      "PaperlessBilling    7043 non-null object\n",
      "PaymentMethod       7043 non-null object\n",
      "MonthlyCharges      7043 non-null float64\n",
      "TotalCharges        7043 non-null object\n",
      "Churn               7043 non-null object\n",
      "dtypes: float64(1), int64(2), object(18)\n",
      "memory usage: 1.1+ MB\n"
     ]
    }
   ],
   "source": [
    "df.info()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 56,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "<class 'pandas.core.frame.DataFrame'>\n",
      "RangeIndex: 7043 entries, 0 to 7042\n",
      "Data columns (total 21 columns):\n",
      "customerID          7043 non-null object\n",
      "gender              7043 non-null object\n",
      "SeniorCitizen       7043 non-null int64\n",
      "Partner             7043 non-null object\n",
      "Dependents          7043 non-null object\n",
      "tenure              7043 non-null int64\n",
      "PhoneService        7043 non-null object\n",
      "MultipleLines       7043 non-null object\n",
      "InternetService     7043 non-null object\n",
      "OnlineSecurity      7043 non-null object\n",
      "OnlineBackup        7043 non-null object\n",
      "DeviceProtection    7043 non-null object\n",
      "TechSupport         7043 non-null object\n",
      "StreamingTV         7043 non-null object\n",
      "StreamingMovies     7043 non-null object\n",
      "Contract            7043 non-null object\n",
      "PaperlessBilling    7043 non-null object\n",
      "PaymentMethod       7043 non-null object\n",
      "MonthlyCharges      7043 non-null float64\n",
      "TotalCharges        7032 non-null float64\n",
      "Churn               7043 non-null object\n",
      "dtypes: float64(2), int64(2), object(17)\n",
      "memory usage: 1.1+ MB\n"
     ]
    }
   ],
   "source": [
    "df['TotalCharges'] = pd.to_numeric(df['TotalCharges'], errors='coerce')\n",
    "df.info()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 57,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "['customerID', 'gender', 'Partner', 'Dependents', 'PhoneService', 'MultipleLines', 'InternetService', 'OnlineSecurity', 'OnlineBackup', 'DeviceProtection', 'TechSupport', 'StreamingTV', 'StreamingMovies', 'Contract', 'PaperlessBilling', 'PaymentMethod', 'Churn']\n"
     ]
    }
   ],
   "source": [
    "print([key for key in dict(df.dtypes) if dict(df.dtypes)[key] in ['object'] ])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Gender "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 58,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Churn     No  Yes\n",
      "gender           \n",
      "Female  2549  939\n",
      "Male    2625  930\n",
      "Gender Counter({'Male': 3555, 'Female': 3488})\n"
     ]
    },
    {
     "data": {
      "image/png": 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JkiQ1ZgCTJElqzAAmSZLUmAFMkiSpMQOYJElSYwYwSZKkxgxgkiRJjRnAJEmSGjOASZIkNWYAkyRJaswAJkmS1JgBTJIkqTEDmCRJUmMGMEmSpMYMYJIkSY0ZwCRJkhozgEmSJDW2wwCWZG6Srye5JcnGJOd29eckWZvktu73/l09SS5OsinJjUlePmRfZ3Tjb0tyxtgdliRJ0sQ1kjNgjwHvrqoXAYcDZydZCLwX+GpVLQC+2i0DnAgs6H6WA5dAL7ABK4BXAkuAFVtDmyRJ0lSywwBWVXdX1fXd538FbgEOBk4GLu+GXQ68vvt8MvDp6vk2sF+Sg4DjgbVVdX9V/RxYC5wwqkcjSZLUB3ZqDliSecDLgO8AB1bV3dALacDzumEHA3cO2Wywq22r/vTvWJ5kIMnA5s2bd6Y9SZKkvjDiAJZkH+Bq4F1V9YvtDR2mVtupP7VQtaqqFlfV4tmzZ4+0PUmSpL4xogCWZAa98HVFVX2uK9/TXVqk+31vVx8E5g7ZfA5w13bqkiRJU8pI7oIMcClwS1X9xZBVa4CtdzKeAXx+SH1Zdzfk4cCD3SXKLwNLk+zfTb5f2tUkSZKmlOkjGHMEcDrw/SQbutr7gT8HrkpyFnAHcEq37lrgJGAT8DDwVoCquj/J+cC6btwHq+r+UTkKSZKkPrLDAFZV1zH8/C2AY4cZX8DZ29jXamD1zjQoSZI02fgkfEmSpMYMYJIkSY0ZwCRJkhozgEmSJDVmAJMkSWrMACZJktSYAUySJKkxA5gkSVJjBjBJkqTGDGCSJEmNGcAkSZIaM4BJkiQ1ZgCTJElqzAAmSZLUmAFMkiSpMQOYJElSYwYwSZKkxgxgkiRJjRnAJEmSGjOASZIkNWYAkyRJaswAJkmS1JgBTJIkqTEDmCRJUmMGMEmSpMYMYJIkSY0ZwCRJkhozgEmSJDVmAJMkSWrMACZJktSYAUySJKkxA5gkSVJjBjBJkqTGDGCSJEmNGcAkSZIa22EAS7I6yb1JbhpSW5nkp0k2dD8nDVn3viSbktya5Pgh9RO62qYk7x39Q5EkSeoPIzkDdhlwwjD1i6pqUfdzLUCShcCpwKHdNh9PMi3JNOBjwInAQuDN3VhJkqQpZ/qOBlTVPyWZN8L9nQxcWVWPAj9OsglY0q3bVFU/AkhyZTf25p3uWJIkqc/tzhywc5Lc2F2i3L+rHQzcOWTMYFfbVv0ZkixPMpBkYPPmzbvRniRJ0sS0qwHsEuAQYBFwN/CRrp5hxtZ26s8sVq2qqsVVtXj27Nm72J4kSdLEtcNLkMOpqnu2fk7ySeAL3eIgMHfI0DnAXd3nbdUlSZKmlF06A5bkoCGLbwC23iG5Bjg1ycwk84EFwHeBdcCCJPOT7Elvov6aXW9bkiSpf+3wDFiSzwBHA89NMgisAI5OsojeZcTbgT8EqKqNSa6iN7n+MeDsqnq82885wJeBacDqqto46kcjSZLUB0ZyF+Sbhylfup3xFwAXDFO/Frh2p7qTJEmahHwSviRJUmMGMEmSpMYMYJIkSY0ZwCRJkhozgEmSJDVmAJMkSWrMACZJktSYAUySJKkxA5gkSVJjBjBJkqTGDGCSJEmNGcAkSZIaM4BJkiQ1ZgCTJElqzAAmSZLUmAFMkiSpMQOYJElSYwYwSZKkxgxgkiRJjRnAJEmSGjOASZIkNWYAkyRJaswAJkmS1JgBTJIkqTEDmCRJUmMGMEmSpMYMYJIkSY0ZwCRJkhozgEmSJDVmAJMkSWrMACZJktSYAUySJKkxA5gkSVJjBjBJkqTGdhjAkqxOcm+Sm4bUnpNkbZLbut/7d/UkuTjJpiQ3Jnn5kG3O6MbfluSMsTkcSZKkiW8kZ8AuA054Wu29wFeragHw1W4Z4ERgQfezHLgEeoENWAG8ElgCrNga2iRJkqaaHQawqvon4P6nlU8GLu8+Xw68fkj909XzbWC/JAcBxwNrq+r+qvo5sJZnhjpJkqQpYVfngB1YVXcDdL+f19UPBu4cMm6wq22rLkmSNOWM9iT8DFOr7dSfuYNkeZKBJAObN28e1eYkSZImgl0NYPd0lxbpft/b1QeBuUPGzQHu2k79GapqVVUtrqrFs2fP3sX2JEmSJq5dDWBrgK13Mp4BfH5IfVl3N+ThwIPdJcovA0uT7N9Nvl/a1SRJkqac6TsakOQzwNHAc5MM0rub8c+Bq5KcBdwBnNINvxY4CdgEPAy8FaCq7k9yPrCuG/fBqnr6xH5JkqQpYYcBrKrevI1Vxw4ztoCzt7Gf1cDqnepOkiRpEvJJ+JIkSY0ZwCRJkhozgEmSJDVmAJMkSWrMACZJktSYAUySJKkxA5gkSVJjBjBJkqTGDGCSJEmNGcAkSZIaM4BJkiQ1ZgCTJElqzAAmSZLUmAFMkiSpMQOYJElSYwYwSZKkxgxgkiRJjRnAJEmSGjOASZIkNWYAkyRJaswAJkmS1JgBTJIkqTEDmCRJUmMGMEmSpMYMYJIkSY0ZwCRJkhozgEmSJDVmAJMkSWrMACZJktSYAUySJKkxA5gkSVJjBjBJkqTGDGCSJEmNGcAkSZIaM4BJkiQ1tlsBLMntSb6fZEOSga72nCRrk9zW/d6/qyfJxUk2JbkxyctH4wAkSZL6zWicAXt1VS2qqsXd8nuBr1bVAuCr3TLAicCC7mc5cMkofLckSVLfGYtLkCcDl3efLwdeP6T+6er5NrBfkoPG4PslSZImtN0NYAX8Y5L1SZZ3tQOr6m6A7vfzuvrBwJ1Dth3sak+RZHmSgSQDmzdv3s32JEmSJp7pu7n9EVV1V5LnAWuT/GA7YzNMrZ5RqFoFrAJYvHjxM9ZLkiT1u906A1ZVd3W/7wWuAZYA92y9tNj9vrcbPgjMHbL5HOCu3fl+SZKkfrTLASzJ3kmetfUzsBS4CVgDnNENOwP4fPd5DbCsuxvycODBrZcqJUmSppLduQR5IHBNkq37+euq+lKSdcBVSc4C7gBO6cZfC5wEbAIeBt66G98tSZLUt3Y5gFXVj4CXDlO/Dzh2mHoBZ+/q90mSJE0WPglfkiSpMQOYJElSYwYwSZKkxgxgkiRJjRnAJEmSGjOASZIkNWYAkyRJaswAJkmS1JgBTJIkqTEDmCRJUmMGMEmSpMYMYJIkSY0ZwCRJkhozgEmSJDVmAJMkSWrMACZJktSYAUySJKkxA5gkSVJjBjBJkqTGDGCSJEmNGcAkSZIaM4BJkiQ1ZgCTJElqzAAmSZLUmAFMkiSpMQOYJElSYwYwSZKkxgxgkiRJjRnAJEmSGjOASZIkNWYAkyRJaswAJkmS1JgBTJIkqTEDmCRJUmMGMEmSpMaaB7AkJyS5NcmmJO9t/f2SJEnjrWkASzIN+BhwIrAQeHOShS17kCRJGm+tz4AtATZV1Y+q6t+AK4GTG/cgSZI0rqY3/r6DgTuHLA8Crxw6IMlyYHm3+FCSWxv1pv73XGDLeDcx0eTC8e5A6nv+bRmGf1uG9ZsjHdg6gGWYWj1loWoVsKpNO5pMkgxU1eLx7kPS5OLfFo2F1pcgB4G5Q5bnAHc17kGSJGlctQ5g64AFSeYn2RM4FVjTuAdJkqRx1fQSZFU9luQc4MvANGB1VW1s2YMmNS9dSxoL/m3RqEtV7XiUJEmSRo1PwpckSWrMACZJktSYAUySJKkxA5gmhSR7j3cPkiSNlAFMfS3Jq5LcDNzSLb80ycfHuS1Jk0CSvZK8YLz70ORkAFO/uwg4HrgPoKq+B/z2uHYkqe8leS2wAfhSt7woic+t1KgxgKnvVdWdTys9Pi6NSJpMVgJLgAcAqmoDMG8c+9Ek0/pdkNJouzPJq4Dq3q7wTrrLkZK0Gx6rqgeT4V5hLO0+z4Cp370dOBs4mN67Rhd1y5K0O25KchowLcmCJB8FvjXeTWny8En4kiQ9TZLfAD4ALAVC7xV651fVI+PamCYNA5j6Uvev0W3+x1tV72zYjiRJO8U5YOpXA+PdgKTJJ8nfs/1/3L2uYTuaxDwDJklSJ8nvbG99VX2zVS+a3Axg6mtJZgN/AiwEZm2tV9Ux49aUJEk74F2Q6ndX0HvsxHzgPOB2YN14NiSp/3V3Pn42yc1JfrT1Z7z70uRhAFO/O6CqLgV+XVXfrKozgcPHuylJfe9TwCXAY8CrgU8DfzWuHWlSMYCp3/26+313ktckeRkwZzwbkjQp7FVVX6U3VecnVbUScGqDRo13Qarf/WmSfYF3Ax8Fng38j/FtSdIk8EiSPYDbkpwD/BR43jj3pEnESfiSJD1Nkv9Kb37pfsD5wL7A/66qb49rY5o0DGDqa0nmA++g95LcJ8/o+qweSdJE5iVI9bu/Ay4F/h54Ypx7kdTnkqzZ3nr/cafRYgBTv3ukqi4e7yYkTRq/BdwJfAb4Dr33QEqjzkuQ6mtJTgMWAP8IPLq1XlXXj1tTkvpWkmnA7wJvBl4C/APwmaraOK6NadIxgKmvJflfwOnAD/n3S5Dlk/Al7a4kM+kFsQ8BH6yqj45zS5pEDGDqa0l+ALykqv5tvHuRNDl0wes19MLXPGANsLqqfjqefWlycQ6Y+t336N0mfu94NyKp/yW5HDgM+CJwXlXdNM4taZLyDJj6WpJv0JunsY6nzgHzTiVJOy3JE8Avu8Wh/4MMvekNz27flSYjz4Cp360Y7wYkTR5V5Sv61IRnwNT3kvwmsKCqvpLkN4BpVfWv492XJEnbYtJXX0vyNuCzwP/tSgfTezirJEkTlgFM/e5s4AjgFwBVdRu+MFeSNMEZwNTvHh36CIok03nqxFlJkiYcA5j63TeTvB/YK8nvAn9L772QkiRNWE7CV19LsgdwFrCU3m3iXwb+X/kftiRpAjOAqS8l+Y9Vdcd49yFJ0q7wEqT61ZN3Oia5ejwbkSRpZxnA1K8y5PN/GrcuJEnaBQYw9avaxmdJkiY854CpLyV5nN772gLsBTy8dRW+r02SNMEZwCRJkhrzEqQkSVJjBjBJkqTGDGCSBCS5LMkbx7sPSVODAUySdkH33lFJ2iX+AZHUd5L8T+AtwJ3AFmA9cA3wMWA2vbti31ZVP0hyGfALYDHwH4D3VNVnkwT4KHAM8GOGPFsuySuAvwD26fb/36vq7iTfAL4FHAGsAT4y5gcraVIygEnqK0kWA/8NeBm9v2HX0wtgq4C3V9VtSV4JfJxeuAI4CDgSeCG94PRZ4A3AC4AXAwcCNwOrk8ygF8xOrqrNSd4EXACc2e1rv6r6nTE/UEmTmgFMUr85Evh8Vf0KIMnfA7OAVwF/2zuxBcDMIdv8XVU9Adyc5MCu9tvAZ6rqceCuJF/r6i8ADgPWdvuaBtw9ZF9/M/qHJGmqMYBJ6jcZprYH8EBVLdrGNo9uY/vhHoQYYGNV/dY29vXLHbcoSdvnJHxJ/eY64LVJZiXZB3gNvTlfP05yCkB6XrqD/fwTcGqSaUkOAl7d1W8FZif5rW5fM5IcOiZHImnKMoBJ6itVtY7ePK7vAZ8DBoAH6U3KPyvJ94CNwMk72NU1wG3A94FLgG92+/834I3Ahd2+NtC7vClJo8ZXEUnqO0n2qaqHkvwGvTNZy6vq+vHuS5JGyjlgkvrRqiQL6U2+v9zwJanfeAZMkiSpMeeASZIkNWYAkyRJaswAJkmS1JgBTJIkqTEDmCRJUmMGMEmSpMb+P6mhWRMVWhByAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f6a206e54e0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "gender_plot = df.groupby(['gender', 'Churn']).size().reset_index().pivot(columns='Churn', index='gender', values=0)\n",
    "print(gender_plot)\n",
    "gender_plot.plot(x=gender_plot.index, kind='bar', stacked=True);\n",
    "print('Gender', collections.Counter(df['gender']))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Partner"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 59,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Churn      No   Yes\n",
      "Partner            \n",
      "No       2441  1200\n",
      "Yes      2733   669\n",
      "Partner Counter({'No': 3641, 'Yes': 3402})\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f6a207019b0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "partner_plot = df.groupby(['Partner', 'Churn']).size().reset_index().pivot(columns='Churn', index='Partner', values=0)\n",
    "partner_plot.plot(x=partner_plot.index, kind='bar', stacked=True);\n",
    "print(partner_plot)\n",
    "print('Partner', collections.Counter(df['Partner']))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Dependents"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 60,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Dependents Counter({'No': 4933, 'Yes': 2110})\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f6a206737f0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "dependents_plot = df.groupby(['Dependents', 'Churn']).size().reset_index().pivot(columns='Churn', index='Dependents', values=0)\n",
    "dependents_plot.plot(x=dependents_plot.index, kind='bar', stacked=True);\n",
    "print('Dependents', collections.Counter(df['Dependents']))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# phoneservice"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 61,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Churn           No   Yes\n",
      "PhoneService            \n",
      "No             512   170\n",
      "Yes           4662  1699\n",
      "PhoneService Counter({'Yes': 6361, 'No': 682})\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f6a20655630>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "phoneservice_plot = df.groupby(['PhoneService', 'Churn']).size().reset_index().pivot(columns='Churn', index='PhoneService', values=0)\n",
    "phoneservice_plot.plot(x=phoneservice_plot.index, kind='bar', stacked=True);\n",
    "print(phoneservice_plot)\n",
    "print('PhoneService', collections.Counter(df['PhoneService']))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# MultipleLines"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 62,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Churn               No  Yes\n",
      "MultipleLines              \n",
      "No                2541  849\n",
      "No phone service   512  170\n",
      "Yes               2121  850\n",
      "MultipleLines Counter({'No': 3390, 'Yes': 2971, 'No phone service': 682})\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f6a205e67f0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "multiplelines_plot = df.groupby(['MultipleLines', 'Churn']).size().reset_index().pivot(columns='Churn', index='MultipleLines', values=0)\n",
    "multiplelines_plot.plot(x=multiplelines_plot.index, kind='bar', stacked=True);\n",
    "print(multiplelines_plot)\n",
    "print('MultipleLines', collections.Counter(df['MultipleLines']))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# InternetService"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 63,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Churn              No   Yes\n",
      "InternetService            \n",
      "DSL              1962   459\n",
      "Fiber optic      1799  1297\n",
      "No               1413   113\n",
      "InternetService Counter({'Fiber optic': 3096, 'DSL': 2421, 'No': 1526})\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f6a2053c198>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "internetservice_plot = df.groupby(['InternetService', 'Churn']).size().reset_index().pivot(columns='Churn', index='InternetService', values=0)\n",
    "internetservice_plot.plot(x=internetservice_plot.index, kind='bar', stacked=True);\n",
    "print(internetservice_plot)\n",
    "print('InternetService', collections.Counter(df['InternetService']))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# OnlineSecurity"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 64,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Churn                  No   Yes\n",
      "OnlineSecurity                 \n",
      "No                   2037  1461\n",
      "No internet service  1413   113\n",
      "Yes                  1724   295\n",
      "OnlineSecurity Counter({'No': 3498, 'Yes': 2019, 'No internet service': 1526})\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f6a204aa860>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "\n",
    "onlinesecurity_plot = df.groupby(['OnlineSecurity', 'Churn']).size().reset_index().pivot(columns='Churn', index='OnlineSecurity', values=0)\n",
    "onlinesecurity_plot.plot(x=onlinesecurity_plot.index, kind='bar', stacked=True);\n",
    "print(onlinesecurity_plot)\n",
    "print('OnlineSecurity', collections.Counter(df['OnlineSecurity']))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# OnlineBackup"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 65,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Churn                  No   Yes\n",
      "OnlineBackup                   \n",
      "No                   1855  1233\n",
      "No internet service  1413   113\n",
      "Yes                  1906   523\n",
      "OnlineBackup Counter({'No': 3088, 'Yes': 2429, 'No internet service': 1526})\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f6a20496198>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "onlinebackup_plot = df.groupby(['OnlineBackup', 'Churn']).size().reset_index().pivot(columns='Churn', index='OnlineBackup', values=0)\n",
    "onlinebackup_plot.plot(x=onlinebackup_plot.index, kind='bar', stacked=True);\n",
    "print(onlinebackup_plot)\n",
    "print('OnlineBackup', collections.Counter(df['OnlineBackup']))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# DeviceProtection"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 66,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Churn                  No   Yes\n",
      "DeviceProtection               \n",
      "No                   1884  1211\n",
      "No internet service  1413   113\n",
      "Yes                  1877   545\n",
      "DeviceProtection Counter({'No': 3095, 'Yes': 2422, 'No internet service': 1526})\n"
     ]
    },
    {
     "data": {
      "image/png": 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YJElSYwYwSZKkxkYzD5i2wOzH/7rfLQycu/vdgCRJo2QAkyRpE/wHdXt397uBBrwFKUmS1JgBTJIkqTEDmCRJUmMGMEmSpMYMYJIkSY0ZwCRJkhozgEmSJDVmAJMkSWrMACZJktSYAUySJKkxA5gkSVJjBjBJkqTGDGCSJEmNGcAkSZIaM4BJkiQ1ZgCTJElqzAAmSZLUmAFMkiSpMQOYJElSYwYwSZKkxgxgkiRJjRnAJEmSGjOASZIkNWYAkyRJaswAJkmS1JgBTJIkqTEDmCRJUmMGMEmSpMYMYJIkSY0ZwCRJkhozgEmSJDVmAJMkSWrMACZJktTYZgNYkkuTPJjk9mG1RUn+Jcmt3c/xw9b9cZJVSe5Mcsyw+rFdbVWS88b+VCRJkrYNU0exzeXAp4DPbVD/ZFV9fHghyf7AycABwN7AjUl+rVv9aeB1wGpgaZJrq+pHW9G7pH5btEu/Oxg8ix7udweSxsBmA1hVfTvJ7FEe703AVVX1BPDPSVYBh3brVlXVjwGSXNVtawCTJEkDZ2vGgJ2dZEV3i3LXrrYP8JNh26zuahurS5IkDZwtDWCfAeYA84D7gQu7ekbYtjZRf5YkC5IsS7JszZo1W9ieJEnSxLVFAayqHqiqJ6vqKeCz/MdtxtXAvsM2nQXct4n6SMdeXFXzq2r+zJkzt6Q9SZKkCW2LAliSvYYtvgUYekLyWuDkJNOT7AfMBX4ALAXmJtkvyfb0Bupfu+VtS5Ikbbs2Owg/yeeBI4A9kqwGFgJHJJlH7zbi3cDvAlTVyiRL6A2uXw+cVVVPdsc5G7gemAJcWlUrx/xsJEmStgGjeQryHSOUL9nE9h8BPjJC/TrguufUnSRJ0iTkTPiSJEmNGcAkSZIaM4BJkiQ1ZgCTJElqbDTfBSlJI5r9+F/3u4WBc3e/G5A0JrwCJkmS1JgBTJIkqTEDmCRJUmMGMEmSpMYMYJIkSY0ZwCRJkhozgEmSJDVmAJMkSWrMACZJktSYAUySJKkxA5gkSVJjBjBJkqTGDGCSJEmNGcAkSZIaM4BJkiQ1ZgCTJElqzAAmSZLUmAFMkiSpMQOYJElSYwYwSZKkxgxgkiRJjRnAJEmSGjOASZIkNWYAkyRJaswAJkmS1JgBTJIkqTEDmCRJUmMGMEmSpMYMYJIkSY0ZwCRJkhozgEmSJDVmAJMkSWrMACZJktSYAUySJKkxA5gkSVJjBjBJkqTGNhvAklya5MEktw+r7ZbkhiR3da+7dvUkuSjJqiQrkhwybJ8zuu3vSnLG+JyOJEnSxDeaK2CXA8duUDsP+FpVzQW+1i0DHAfM7X4WAJ+BXmADFgK/BRwKLBwKbZIkSYNmswGsqr4N/HSD8puAK7r3VwBvHlb/XPV8H3hBkr2AY4AbquqnVfUQcAPPDnWSJEkDYUvHgO1ZVfcDdK8v7Or7AD8Ztt3qrraxuiRJ0sAZ60H4GaFWm6g/+wDJgiTLkixbs2bNmDYnSZI0EWxpAHugu7VI9/pgV18N7Dtsu1nAfZuoP0tVLa6q+VU1f+bMmVvYniRJ0sS1pQHsWmDoScYzgC8Nq5/ePQ35CuDh7hbl9cDRSXbtBt8f3dUkSZIGztTNbZDk88ARwB5JVtN7mvGjwJIkZwL3Aid1m18HHA+sAh4D3glQVT9N8mFgabfdh6pqw4H9kiRJA2GzAayq3rGRVUeOsG0BZ23kOJcClz6n7iRJkiYhZ8KXJElqzAAmSZLUmAFMkiSpMQOYJElSYwYwSZKkxgxgkiRJjRnAJEmSGjOASZIkNWYAkyRJaswAJkmS1JgBTJIkqTEDmCRJUmMGMEmSpMYMYJIkSY0ZwCRJkhozgEmSJDVmAJMkSWrMACZJktSYAUySJKkxA5gkSVJjBjBJkqTGDGCSJEmNGcAkSZIaM4BJkiQ1ZgCTJElqzAAmSZLUmAFMkiSpMQOYJElSYwYwSZKkxgxgkiRJjRnAJEmSGjOASZIkNWYAkyRJaswAJkmS1JgBTJIkqTEDmCRJUmMGMEmSpMYMYJIkSY0ZwCRJkhozgEmSJDVmAJMkSWrMACZJktTYVgWwJHcnuS3JrUmWdbXdktyQ5K7uddeuniQXJVmVZEWSQ8biBCRJkrY1Y3EF7DVVNa+q5nfL5wFfq6q5wNe6ZYDjgLndzwLgM2Pw2ZIkSduc8bgF+Sbgiu79FcCbh9U/Vz3fB16QZK9x+HxJkqQJbWsDWAFfTbI8yYKutmdV3Q/Qvb6wq+8D/GTYvqu72jMkWZBkWZJla9as2cr2JEmSJp6pW7n/YVV1X5IXAjck+b+b2DYj1OpZharFwGKA+fPnP2u9JEnStm6rroBV1X3d64PANcChwANDtxa71we7zVcD+w7bfRZw39Z8viRJ0rZoiwNYkh2T7DT0HjgauB24Fjij2+wM4Evd+2uB07unIV8BPDx0q1KSJGmQbM0tyD2Ba5IMHeevq+orSZYCS5KcCdwLnNRtfx1wPLAKeAx451Z8tiRJ0jZriwNYVf0Y+PUR6uuAI0eoF3DWln6eJEnSZOFM+JIkSY0ZwCRJkhozgEmSJDVmAJMkSWrMACZJktSYAUySJKkxA5gkSVJjBjBJkqTGDGCSJEmNGcAkSZIaM4BJkiQ1ZgCTJElqzAAmSZLUmAFMkiSpMQOYJElSYwYwSZKkxgxgkiRJjRnAJEmSGjOASZIkNWYAkyRJaswAJkmS1JgBTJIkqTEDmCRJUmMGMEmSpMYMYJIkSY0ZwCRJkhozgEmSJDVmAJMkSWrMACZJktSYAUySJKkxA5gkSVJjBjBJkqTGDGCSJEmNGcAkSZIaM4BJkiQ1ZgCTJElqzAAmSZLUmAFMkiSpMQOYJElSYwYwSZKkxgxgkiRJjTUPYEmOTXJnklVJzmv9+ZIkSf3WNIAlmQJ8GjgO2B94R5L9W/YgSZLUb62vgB0KrKqqH1fVvwNXAW9q3IMkSVJfTW38efsAPxm2vBr4reEbJFkALOgWH01yZ6Pe1LMHsLbfTWyJXNDvDrQN8fdcg8Df8/Z+dbQbtg5gGaFWz1ioWgwsbtOONpRkWVXN73cf0njy91yDwN/zia31LcjVwL7DlmcB9zXuQZIkqa9aB7ClwNwk+yXZHjgZuLZxD5IkSX3V9BZkVa1PcjZwPTAFuLSqVrbsQZvl7V8NAn/PNQj8PZ/AUlWb30qSJEljxpnwJUmSGjOASZIkNWYAkyRJaswAJmnSS7JnkkuSfLlb3j/Jmf3uSxpLSc5OsnP3/i+T/CDJkf3uSyMzgIkks5Jck2RNkgeSXJ1kVr/7ksbQ5fSevt67W/5/wPv61o00PhZU1SNJjqb3zTO/D/x5n3vSRhjABHAZvfnY9qL3f9q/72rSZLFHVS0BnoLelDjAk/1tSRpzQ9MaHAdcVlXL8e/5Ccv/YQQws6ouq6r13c/lwMx+NyWNoX9LsjvdX1BJXgE83N+WpDH3wyTXAW8Avpzk+WzwdX+aOFp/F6QmprVJfhv4fLf8DmBdH/uRxtq59K7yzknyHXr/wDixvy1JY+6dwMuBVVX1WJI9AMc6TlBOxCqSvAj4FPBKev9a+i5wTlXd09fGpDGUZCrwEiDAnVX1yz63JI25JCcDc6rqI0n2BV7Y3YrUBGMAkzTpJTkLuLKqftYt7wq8o6r+Z387k8ZOkk8B04D/XFUvS7IbcH1V/WafW9MIDGADLMmfbGJ1VdWHmzUjjaMkt1bVvA1qt1TVb/SrJ2msJbm5qg4Z/rud5IdV9ev97k3P5hiwwfZvI9R2pDdmYHfAAKbJYrskqe5fnEmmANv3uSdprP0yyXb8x8Mmu9M9+auJxwA2wKrqwqH3SXYCzqE3iPMq4MKN7Sdtg64HliS5mN5fTr8HfKW/LUlj7tPA1cDMJOcDbwPO729L2hhvQQ64bozAucCpwBXAX1TVQ/3tShpb3VWB3wWOpDcI/6vAX1WVc4Fpm9dNPfEHVXV3kgOAo+j9nt9YVbf3tzttjAFsgCX5GHACsBj4dFU92ueWJEnPUZK3AX9K7x/Rf+4TvtsGA9gAS/IU8ASwnmdO1hd6g/B37ktj0hhJsqSq3pbkNkaYkLKqDu5DW9KYS7Ij8CfAscD/YtjYr6r6RL/60sY5BmyAVZXfhKDJ7pzu9fV97UIaf7+k92DVdGAnHHw/4RnAJE1aVXV/9/YEYElV/Us/+5HGQ5JjgU/Q+7aHQ6rqsT63pFEwgEkaBDsDX03yU3pP+X6hqh7oc0/SWPkgcFJVrex3Ixo9x4BJGhhJDgbeDrwVWF1VR/W5JUkDyjFAkgbJg8C/0vuy+Rf2uRdJA8wAJmnSS/L7Sb4JfA3YA3i3T0BK6ifHgEkaBC8C3ldVt/a7EUkCx4BJmuS6WfBXVNWB/e5FkoZ4C1LSpFZVTwE/TPKifvciSUO8BSlpEOwFrEzyA3qTVQJQVW/sX0uSBpkBTNIgOL/fDUjScI4BkzQQkvwqMLeqbkzyPGBKVf28331JGkyOAZM06SV5N/AF4C+70j7A3/WvI0mDzgAmaRCcBRwGPAJQVXfhRKyS+sgAJmkQPFFV/z60kGQq4PgLSX1jAJM0CL6V5APADkleB/wt8Pd97knSAHMQvqRJr5uM9UzgaCDA9cBflX8ASuoTA5ikgZJkN2BWVa3ody+SBpe3ICVNekm+mWTnLnzdClyW5BP97kvS4DKASRoEu1TVI8AJwGVV9XLgqD73JGmAGcAkDYKpSfYC3gb8Q7+bkSQDmKRB8CF6A+9XVdXSJP8JuKvPPUkaYA7ClyRJaswrYJIkSY0ZwCRJkhozgEma9JLsN5qaJLViAJM0CK4eofaF5l1IUmdqvxuQpPGS5KXAAcAuSU4YtmpnYEZ/upIkA5ikye0lwOuBFwBvGFb/OfDuvnQkSTgNhaQBkOSVVfW9fvchSUMcAyZpEKxL8rUktwMkOTjJf+t3U5IGlwFM0iD4LPDHwC8BqmoFcHJfO5I00AxgkgbB86rqBxvU1velE0nCACZpMKxNMgcogCQnAvf3tyVJg8xB+JImve7LtxcDrwIeAv4Z+O2quruffUkaXAYwSQMjyY7AdlX18373ImmwGcAkTXpJpgNvBWYzbP7DqvpQv3qSNNiciFXSIPgS8DCwHHiiz71IklfAJE1+SW6vqgP73YckDfEpSEmD4LtJDup3E5I0xCtgkia9JD8CXkzv6ccngABVVQf3tTFJA8sAJmnSS/KrI9Wr6p7WvUgSGMAkTXJJtgNWOAZM0kTiGDBJk1pVPQX8MMmL+t2LJA1xGgpJg2AvYGWSHwD/NlSsqjf2ryVJg8wAJmkQnN/vBiRpOMeASRoI3UD8uVV1Y5LnAVP8SiJJ/eIYMEmTXpJ3A18A/rIr7QP8Xf86kjToDGCSBsFZwGHAIwBVdRfwwr52JGmgGcAkDYInqurfhxaSTAUcfyGpbwxgkgbBt5J8ANghyeuAvwX+vs89SRpgDsKXNOl1k7GeCRxN72uIrq+qz/a3K0mDzAAmadJLck5V/cXmapLUircgJQ2CM0ao/U7rJiRpiBOxSpq0krwDOAXYL8m1w1btBKzrT1eSZACTNLl9F7gf2AO4cFj958CKvnQkSTgGTJIkqTnHgEma9JKckOSuJA8neSTJz5M80u++JA0ur4BJmvSSrALeUFV39LsXSQKvgEkaDA8YviRNJF4BkzTpJfkL4FfofQH3E0P1qvpi35qSNNB8ClLSINgZeIzeTPhDCjCASeoLr4BJkiQ15hUwSZNWkj+qqj9P8j/oXfF6hqp6bx/akiQDmKRJbWjg/bK+diFJG/AWpCRJUmNOQyFJktSYAUySJKkxA5gkSVJjBjBJk16SWUmuSbImyQNJrk4yq999SRpcBjBJg+Ay4FpgL2Af4O+7miT1hU9BSpr0ktxaVfM2V5OkVrwCJmkQrE3y20mmdD+/Dazrd1OSBpdXwCRNekleBHwKeCW9GfG/C5xTVff0tTFJA8sAJkmS1JhfRSRp0kryJ5tYXVX14WbNSNIwXgGTNGklef8I5R2BM4Hdq+r5jVuSJMAAJmlAJNkJOIde+FoCXFhVD/a3K0mDyluQkia1JLsB5wKnAlcAh1TVQ/3tStKgM4BJmrSSfAw4AVgMHFRVj/a5JUkCvAUpaRIiGFT7AAAEBklEQVRL8hTwBLCe3vQTT6+iNwh/5740JmngGcAkSZIacyZ8SZKkxgxgkiRJjRnAJEmSGjOASRpTSZ5McmuSlUl+mOTcJFv0Z02S+Uku2sJ9v5nkzq6H7yR5yXPc/3eS7L2Fnz07ySnDlrf4PCRNTgYwSWPtF1U1r6oOAF4HHA8s3JIDVdWyqnrvVvRyalX9Or35vz624cokUzax7+8AWxTAgNnA0wFsDM5D0iRjAJM0brqZ5hcAZ6dnSpKPJVmaZEWS3wVI8jdJjh/aL8nlSd6a5Igk/9DVnp/ksiS3dfu+tasfneR7SW5O8rdJRvp6oW8DL+62vzvJnyS5CTgpybwk3++OeU2SXZOcCMwHruyu5u2Q5OVJvpVkeZLrk+zVHe/FSW7srrTdnGQO8FHg8G7fP9zgPHZL8nfd530/ycFdfVGSS7srdz9OYmCTJjEDmKRxVVU/pvdnzQvpfQ3Qw1X1m8BvAu9Osh9wFfB2gCTbA0cC121wqP/e7XtQVR0MfD3JHsB/A46qqkOAZfRmvd/QG4Dbhi0/XlWvrqqrgM8B/7U75m3Awqr6QnesU6tqHr15xP4HcGJVvRy4FPhId6wrgU93V9peBdwPnAf8n+5K4Cc36OV84Jbu8z7Qff6QlwLHAIcCC5NM28h/VknbOGfCl9RCutejgYO7K0wAuwBzgS8DFyWZDhwLfLuqfpFk+DGOAk4eWqiqh5K8Htgf+E637fbA94btc2WSXwB3A+8ZVv8bgCS7AC+oqm919SuAvx2h/5cABwI3dJ8zBbi/+37Jfarqmq6nx7vjbuq/xauBt3bbfz3J7l0fAP+7qp4AnkjyILAnsHpTB5O0bTKASRpXSf4T8CTwIL0g9p6qun6E7b5J7+rP24HPj3Qonjmb/VDthqp6x0Y+/tSqWjZC/d9G1/0zPmdlVb3yGcVkS2bSHymdDZ3XE8NqT+Kf0dKk5S1ISeMmyUzgYuBT1fvajeuB3x+6tZbk15Ls2G1+FfBO4PBuuw19FTh72LF3Bb4PHJZkaHzX85L82mj7q6qHgYeSHN6VTgOGrob9HNipe38nMDPJK7vPmZbkgKp6BFid5M1dfXqS522w74a+Te+LwUlyBLC2O46kAWIAkzTWdhiahgK4kV5wOr9b91fAj4Cbk9wO/CX/cZXnq8B/Bm6sqn8f4bh/Cuya5PYkPwReU1Vr6D2t+PkkK+gFspc+x37PAD7W7T8P+FBXvxy4OMmt9G45nghc0H32rfTGe0EvtL232/+7wK8AK4D13cD8P9zg8xYB87vtP9p9vqQB43dBSpIkNeYVMEmSpMYMYJIkSY0ZwCRJkhozgEmSJDVmAJMkSWrMACZJktSYAUySJKkxA5gkSVJj/x/RrtfH/++DSwAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f6a20441550>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "\n",
    "deviceprotection_plot = df.groupby(['DeviceProtection', 'Churn']).size().reset_index().pivot(columns='Churn', index='DeviceProtection', values=0)\n",
    "deviceprotection_plot.plot(x=deviceprotection_plot.index, kind='bar', stacked=True);\n",
    "print(deviceprotection_plot)\n",
    "print('DeviceProtection', collections.Counter(df['DeviceProtection']))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# TechSupport"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 67,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "TechSupport Counter({'No': 3473, 'Yes': 2044, 'No internet service': 1526})\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f6a2036e7b8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "techsupport_plot = df.groupby(['TechSupport', 'Churn']).size().reset_index().pivot(columns='Churn', index='TechSupport', values=0)\n",
    "techsupport_plot.plot(x=techsupport_plot.index, kind='bar', stacked=True);\n",
    "print('TechSupport', collections.Counter(df['TechSupport']))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# StreamingTV"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 68,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "StreamingTV Counter({'No': 2810, 'Yes': 2707, 'No internet service': 1526})\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f6a2038c898>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "streamingtv_plot = df.groupby(['StreamingTV', 'Churn']).size().reset_index().pivot(columns='Churn', index='StreamingTV', values=0)\n",
    "streamingtv_plot.plot(x=streamingtv_plot.index, kind='bar', stacked=True);\n",
    "print('StreamingTV', collections.Counter(df['StreamingTV']))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# StreamingTV"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 69,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "StreamingMovies Counter({'No': 2785, 'Yes': 2732, 'No internet service': 1526})\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f6a20463828>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "streamingmovies_plot = df.groupby(['StreamingMovies', 'Churn']).size().reset_index().pivot(columns='Churn', index='StreamingMovies', values=0)\n",
    "streamingmovies_plot.plot(x=streamingmovies_plot.index, kind='bar', stacked=True);\n",
    "print('StreamingMovies', collections.Counter(df['StreamingMovies']))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Contract"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 70,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Contract Counter({'Month-to-month': 3875, 'Two year': 1695, 'One year': 1473})\n"
     ]
    },
    {
     "data": {
      "image/png": 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cVXd244tIkiSNFoMGsKp6CHioef/zJHcB0zaxyfHAoqp6FvhJklXAgc26VVV1L0CSRc1YA5gkSRpXNmsOWJKZwP7AzU3prCQrkixMsnNTmwY80G+zvqa2sbokSdK4MuQAluQlwFeAc6vqP4HPAHsCc+gcIfvk+qEDbF6bqL/wc+YnWZpk6erVq4faniRJ0qgxpACWZBKd8HVlVX0VoKoerqp1VfUc8Dl+c5qxD5jRb/PpwIObqG+gqi6tqrlVNXfq1Kmb+30kSZJGvKFcBRngMuCuqvpUv/ru/Ya9Bbijeb8YOCnJ5CSzgNnALcASYHaSWUm2pTNRf3F3voYkSdLoMZSrIA8GTgVuT7K8qX0AeHuSOXROI94HvAugqlYmuYrO5Pq1wJlVtQ4gyVnAdcAEYGFVrezid5EkSRoVhnIV5E0MPH/r2k1scyFw4QD1aze1nSRJ0njgnfAlSZJaZgCTJElqmQFMkiSpZQYwSZKklhnAJEmSWmYAkyRJapkBTJIkqWUGMEmSpJYZwCRJklpmAJMkSWqZAUySJKllBjBJkqSWGcAkSZJaZgCTJElqmQFMkiSpZQYwSZKklhnAJEmSWjax1w2MVTOf+VKvWxh37ut1A5IkDZFHwCRJklpmAJMkSWqZAUySJKllBjBJkqSWGcAkSZJaZgCTJElqmQFMkiSpZQYwSZKklhnAJEmSWmYAkyRJapkBTJIkqWUGMEmSpJYZwCRJklpmAJMkSWrZoAEsyYwkNyS5K8nKJOc09V2SXJ/knubvzk09SS5JsirJiiQH9NvXac34e5KcNnxfS5IkaeQayhGwtcB7q+o1wEHAmUn2As4DvlVVs4FvNcsAxwKzm9d84DPQCWzA+cDrgQOB89eHNkmSpPFk0ABWVQ9V1a3N+58DdwHTgOOBK5phVwAnNO+PB75QHT8AdkqyO3A0cH1VPVZVjwPXA8d09dtIkiSNAps1ByzJTGB/4GZgt6p6CDohDXh5M2wa8EC/zfqa2sbqL/yM+UmWJlm6evXqzWlPkiRpVBhyAEvyEuArwLlV9Z+bGjpArTZR37BQdWlVza2quVOnTh1qe5IkSaPGkAJYkkl0wteVVfXVpvxwc2qR5u8jTb0PmNFv8+nAg5uoS5IkjStDuQoywGXAXVX1qX6rFgPrr2Q8Dfhav/q85mrIg4Anm1OU1wFHJdm5mXx/VFOTJEkaVyYOYczBwKnA7UmWN7UPAB8DrkpyBnA/cGKz7lrgOGAV8DTwDoCqeizJ3wFLmnEXVNVjXfkWkiRJo8igAayqbmLg+VsARwwwvoAzN7KvhcDCzWlQkiRprPFO+JIkSS0zgEmSJLXMACZJktQyA5gkSVLLDGCSJEktM4BJkiS1zAAmSZLUMgOYJElSywxgkiRJLTOASZIktcwAJkmS1DIDmCRJUssMYJIkSS0zgEmSJLXMACZJktQyA5gkSVLLDGCSJEktM4BJkiS1bGKvG5AkaURbsGOvOxh/FjzZ6w6GnUfAJEmSWmYAkyRJapkBTJIkqWXOAZMkaRNmPvOlXrcw7tzX6wZa4BEwSZKklhnAJEmSWmYAkyRJapkBTJIkqWUGMEmSpJYZwCRJklpmAJMkSWqZAUySJKllgwawJAuTPJLkjn61BUn+I8ny5nVcv3XvT7Iqyd1Jju5XP6aprUpyXve/iiRJ0ugwlCNglwPHDFC/uKrmNK9rAZLsBZwE7N1s8+kkE5JMAP4JOBbYC3h7M1aSJGncGfRRRFX13SQzh7i/44FFVfUs8JMkq4ADm3WrqupegCSLmrF3bnbHkiRJo9zWzAE7K8mK5hTlzk1tGvBAvzF9TW1j9RdJMj/J0iRLV69evRXtSZIkjUxbGsA+A+wJzAEeAj7Z1DPA2NpE/cXFqkuram5VzZ06deoWtidJkjRyDXoKciBV9fD690k+B1zTLPYBM/oNnQ482LzfWF3SaLVgx153MP4seLLXHUjqgi06ApZk936LbwHWXyG5GDgpyeQks4DZwC3AEmB2kllJtqUzUX/xlrctSZI0eg16BCzJl4HDgJcl6QPOBw5LMofOacT7gHcBVNXKJFfRmVy/FjizqtY1+zkLuA6YACysqpVd/zaSJEmjwFCugnz7AOXLNjH+QuDCAerXAtduVneSJEljkHfClyRJapkBTJIkqWUGMEmSpJYZwCRJklpmAJMkSWqZAUySJKllBjBJkqSWGcAkSZJaZgCTJElq2RY9jFuSAGY+86VetzDu3NfrBiR1hUfAJEmSWmYAkyRJapkBTJIkqWUGMEmSpJYZwCRJklpmAJMkSWqZAUySJKllBjBJkqSWGcAkSZJaZgCTJElqmQFMkiSpZQYwSZKklhnAJEmSWmYAkyRJapkBTJIkqWUGMEmSpJYZwCRJklpmAJMkSWqZAUySJKllBjBJkqSWGcAkSZJaNmgAS7IwySNJ7uhX2yXJ9Unuaf7u3NST5JIkq5KsSHJAv21Oa8bfk+S04fk6kiRJI99QjoBdDhzzgtp5wLeqajbwrWYZ4FhgdvOaD3wGOoENOB94PXAgcP760CZJkjTeDBrAquq7wGMvKB8PXNG8vwI4oV/9C9XxA2CnJLsDRwPXV9VjVfU4cD0vDnWSJEnjwpbOAdutqh4CaP6+vKlPAx7oN66vqW2s/iJJ5idZmmTp6tWrt7A9SZKkkavbk/AzQK02UX9xserSqppbVXOnTp3a1eYkSZJGgi0NYA83pxZp/j7S1PuAGf3GTQce3ERdkiRp3NnSALYYWH8l42nA1/rV5zVXQx4EPNmcorwOOCrJzs3k+6OamiRJ0rgzcbABSb4MHAa8LEkfnasZPwZcleQM4H7gxGb4tcBxwCrgaeAdAFX1WJK/A5Y04y6oqhdO7JckSRoXBg1gVfX2jaw6YoCxBZy5kf0sBBZuVneSJEljkHfClyRJapkBTJIkqWUGMEmSpJYZwCRJklpmAJMkSWqZAUySJKllBjBJkqSWGcAkSZJaZgCTJElqmQFMkiSpZQYwSZKklhnAJEmSWmYAkyRJapkBTJIkqWUGMEmSpJYZwCRJklpmAJMkSWqZAUySJKllBjBJkqSWGcAkSZJaZgCTJElqmQFMkiSpZQYwSZKklhnAJEmSWmYAkyRJapkBTJIkqWUGMEmSpJYZwCRJklpmAJMkSWqZAUySJKllBjBJkqSWbVUAS3JfktuTLE+ytKntkuT6JPc0f3du6klySZJVSVYkOaAbX0CSJGm06cYRsDdW1Zyqmtssnwd8q6pmA99qlgGOBWY3r/nAZ7rw2ZIkSaPOcJyCPB64onl/BXBCv/oXquMHwE5Jdh+Gz5ckSRrRtjaAFfB/kixLMr+p7VZVDwE0f1/e1KcBD/Tbtq+pbSDJ/CRLkyxdvXr1VrYnSZI08kzcyu0PrqoHk7wcuD7JjzYxNgPU6kWFqkuBSwHmzp37ovWSJEmj3VYdAauqB5u/jwBXAwcCD68/tdj8faQZ3gfM6Lf5dODBrfl8SZKk0WiLA1iS7ZPssP49cBRwB7AYOK0Zdhrwteb9YmBeczXkQcCT609VSpIkjSdbcwpyN+DqJOv386Wq+kaSJcBVSc4A7gdObMZfCxwHrAKeBt6xFZ8tSZI0am1xAKuqe4HXDlB/FDhigHoBZ27p50mSJI0V3glfkiSpZQYwSZKklhnAJEmSWmYAkyRJapkBTJIkqWUGMEmSpJYZwCRJklpmAJMkSWqZAUySJKllBjBJkqSWGcAkSZJaZgCTJElqmQFMkiSpZQYwSZKklhnAJEmSWmYAkyRJapkBTJIkqWUGMEmSpJYZwCRJklpmAJMkSWqZAUySJKllBjBJkqSWGcAkSZJaZgCTJElqmQFMkiSpZQYwSZKklhnAJEmSWmYAkyRJapkBTJIkqWUGMEmSpJYZwCRJklrWegBLckySu5OsSnJe258vSZLUa60GsCQTgH8CjgX2At6eZK82e5AkSeq1to+AHQisqqp7q+pXwCLg+JZ7kCRJ6qmJLX/eNOCBfst9wOv7D0gyH5jfLD6V5O6WelPHy4A1vW5iS+SiXnegUcTfucYDf+fte8VQB7YdwDJArTZYqLoUuLSddvRCSZZW1dxe9yENJ3/nGg/8nY9sbZ+C7ANm9FueDjzYcg+SJEk91XYAWwLMTjIrybbAScDilnuQJEnqqVZPQVbV2iRnAdcBE4CFVbWyzR40KE//ajzwd67xwN/5CJaqGnyUJEmSusY74UuSJLXMACZJktQyA5ikMS3JhCQf73Uf0nBqfudn97oPDZ0BTNKYVlXrgNclGeg+hNKY0PzO/6zXfWjonIQvkrwK+Gs6d/B9/srYqjq8Z01JXZTkk8Bs4H8Cv1hfr6qv9qwpqcuSfATYgc5j/vr/zlf0rCltlAFMJPkh8FlgGbBufb2qlvWsKamLknx+gHJV1emtNyMNkyT/OkC5quoPW29GgzKAiSTLqup1ve5DkqTxwgA2jiXZpXl7NvAIcDXw7Pr1VfVYL/qSui3JFOAMYG9gyvq6R8A01iQ5mhf/zj/au460MW0/jFsjyzI6D0NfPzn5r/utK+B3W+9IGh5fBH4EHA1cAJwC3NXTjqQuS/JpYCfgD4HP05mU/4OeNqWN8giYSDKlqp4ZrCaNVkluq6r9k6yoqv2STAKu80ITjSX9ft8/rKrXJtkB+EpVHdXr3vRi3oZCAN8fYk0arX7d/H0iyT7AjsDM3rUjDYtfNn+fSfLbwDP4Ox+xPAU5jjX/DzoN2C7J/vzmVORLgd/qWWNS912aZGfgQ8Bi4CXA3/a2Janrvp5kJ+ATwHI6V7V/obctaWM8BTmOJTkN+K/AXGBpv1U/By73HkmSNDol2Q7YzoupRi4DmEjyZ1X1lV73IQ2XJLsBHwX2qKpjk+wF/EFVXdbj1qSuaULXucArqurdSV4JzK6qr/e4NQ3AACaSTKZztcxMNrwT/gW96knqpiRfp3NV2AebyckTgduqat8etyZ1TZIvA7cDJ1fVPkl+C/heVe3f49Y0ACfhC+BrwPHAWjqPr1j/ksaKl1XVVcBzAFW1ln5PfZDGiNnNPb9+DVBVT/Obub0aYZyEL4DpVXVMr5uQhtEvkuxK5/52JDkIeLK3LUld96vmpsPrf+ezgF/1tiVtjAFMAN9Psm9V3d7rRqRh8l46Vz/umeR7wFTgrb1tSeq6C4BvANOTXAH8X3SeAKERyDlgIsmdwCuBn9B5FFHoPMB1v542JnVRM+/r1XR+33dX1a8H2UQadZJMBd5A53f+/ap6pMctaSMMYCLJKwaqV9VP2+5FGg5JlgILgS9X1eO97kcaDkkW0fmdX1/+x33EcxK+1getnYA/aV47Gb40xpxE56bDS5IsSnJ0Eicna6y5nM4px39P8pHmNhQaoTwCJpKcA7wTWH/j1bcAl1bV/9u7rqTuS7IN8CbgM3SuiFwI/HdvVqmxpHnqwynA39CZWvI5Okd/1/a0MW3AACaSrKBzU8pfNMvbA//mHDCNJUn2A94BHAdcB1wJHAKcWlVzetmb1C1N+DoZmAesAb5E53c+u6qO7GVv2pBXQQo6kzX73xNpHd47RmNIkmXAE8BlwHlV9Wyz6uYkB/euM6l7klwF7EsndP1ZVfU1q65MclvvOtNAPAImkrwHOA24uimdQOdZkP/Qu66k7knyu1V1b6/7kIZTkqNwAv6oYQATAEkOoHOYOsB3q8p/LUmSNEwMYAKenzcwgw2fBXlr7zqSJGnscg6YSPJ3wH8FfkzzCIvm7+G96kmSpLHMI2Aiyd3AvlXlM8M0JiX5LTqPI/qdqnpnktnAq6vqmh63JnVVkuOAP2wWv1NVX+9lP9o4b8QqgDvo3IhVGqs+T+cxW3/QLPcBH+ldO1L3JbkQeB9wb/P66yT+zkcoj4CJJHOBr9EJYusvz6eq3tyzpqQuSrK0quYmua2q9m9qP6yq1/a6N6lbmns67l9V65rlicCt3tNxZHIOmACuAC4Cbqdzd3BprPlVku1o5jgm2ZN+/9iQxpCXAuufd7pDLxvRphnABLCmqi7pdRPSMDof+AYwI8mVwMF0LjyRxpL/B7g1ybfo3FLoMOBve9qRNspTkCLJp+gcDVjMhqcgvQ2FxowkuwIH0fkP0w+qak3GiUxIAAAHp0lEQVSPW5K6Lsk04PX85nf+Hz1uSRthABNJbhigXFXlbSg0ZjT/YXoFG97r7ru960jqriQLgX8F/rWqVvW6H22aAUzSmJfkIuBtwEp+M8+xvNBEY0nzKKJDgEPp3Fh7GZ0nm/xTTxvTgAxg2kCSa6rqTb3uQ+qm5l53+/V7CLc0JiXZBjgAOAI4E/hVVb2yt11pIE7C1wtN63UD0jC4F5iEVz5qDEtyHbAjsITOqciDqurB3naljTGA6YV8CLfGoqeB5c3VYf0vNDm7dy1JXffvwP7AbOBh4GdJHvXI78jkKUgBkGRb4FXN4t1V9ete9iN1U5LTBqpX1RVt9yINtyQ7AvOAvwJeXlXb9bglDcAAJpIcRudmrPfRuXR5BnCaV4hprEgyBXglnRux/riqnulxS1LXJJlYVWuTvJvOBPzfBx4Cvkvnisj/09MGNSBPQQrgk8BRVXU3QJJXAV8GXtfTrqSt1DyK5aPA6cBP6Tz/dnqSzwMf9Eivxohb6Ey83xn4NLCkqn7V25Y0GB/GLYBJ68MXQFX9O50Jy9Jo93FgF2BWVb2ueQ7knnQePv+JnnYmdU8Aqurvq+p7hq/RwVOQWn/zvgK+2JROASZW1Tt615W09ZLcA7yqXvA/dEkmAD+qqtm96UzqniR9wKc2tr6qNrpOveMpSAH8Nzr3izmbzr+kvgt44z6NBfXC8NUU1yXxX58aKyYAL6E5EqbRwQAmgHc3/0J6/l9JSc4B/nvvWpK64s4k86rqC/2LSf4L8KMe9SR120NVdUGvm9Dm8RSkSHJrVR3wgtptzXwZadRqnv/4VeCXdB7LUnSuENsOeIsPKtZY4P9ej04GsHEsyduBk+k8O+xf+63aAVhXVUf2pDGpy5IcDuxN5xTNyqr6Vo9bkromyS5V9Viv+9DmMYCNY0leAcwC/h44r9+qnwMrqmptTxqTJGmMM4BpA0neVFXX9LoPSZLGMgOYNjDQfDBJktRd3ohVL+RlzJIkDTMDmF7oXb1uQJKksc5TkAIgyRuAmfS7N9wL750kSZK6wxuxiiRfpPN8vOXAuqZcgAFMkqRh4BEwkeQuYK+BHtkiSZK6zzlgArgD+O1eNyFJ0njhKchxLMn/pnOqcQc6z8y7BXh2/fqqenOvepMkaSwzgI1vn+h1A5IkjUfOARNJLqqqvxmsJkmSusM5YAL4owFqx7behSRJ44SnIMexJP8N+Avgd5Os6LdqB+D7velKkqSxz1OQ41iSHYGdgb8Hzuu36udV9VhvupIkaewzgAmAJBOA3djwTvj3964jSZLGLk9BiiRnAQuAh4HnmnIB+/WqJ0mSxjKPgIkkq4DXV9Wjve5FkqTxwKsgBfAA8GSvm5AkabzwFKQA7gVuTPIvbHgn/E/1riVJksYuA5gA7m9e2zYvSZI0jJwDpucl2QGoqnqq171IkjSWOQdMJNknyW3AHcDKJMuS7N3rviRJGqsMYAK4FHhPVb2iql4BvBf4XI97kiRpzDKACWD7qrph/UJV3Qhs37t2JEka25yEL4B7k3wI+GKz/F+An/SwH0mSxjSPgAngdGAq8FXg6ub9O3rakSRJY5hXQUqSJLXMU5DjWJLFm1pfVW9uqxdJksYTA9j49gd0HkP0ZeBmIL1tR5Kk8cFTkONYkgnAHwFvB/YD/gX4clWt7GljkiSNcU7CH8eqal1VfaOqTgMOAlbReSbkX/a4NUmSxjRPQY5zSSYDf0znKNhM4BI6V0NKkqRh4inIcSzJFcA+wNeBRVV1R49bkiRpXDCAjWNJngN+0Sz2/yGEzkO5X9p+V5IkjX0GMEmSpJY5CV+SJKllBjBJkqSWGcAkjQpJfjvJoiQ/TnJnkmuTvGoL9nNukt/qUk8zk5zcjX1JGl8MYJJGvCSh86D4G6tqz6raC/gAsNsW7O5cYMAA1tyceHPMBAxgkjabAUzSaPBG4NdV9dn1hapaDtyU5ONJ7khye5K3ASQ5LMmNSf45yY+SXJmOs4E9gBuS3NCMfSrJBUluBv4gyd8mWdLs89Im/JHklUm+meSHSW5NsifwMeDQJMuT/N8t/99E0ijmjVgljQb7AMsGqP8pMAd4LfAyYEmS7zbr9gf2Bh4EvgccXFWXJHkP8MaqWtOM2x64o6r+FiDJnVV1QfP+i8CbgP8NXAl8rKquTjKFzj9gzwP+qqre1PVvLGlM8wiYpNHsEDrPL11XVQ8D3wF+v1l3S1X1VdVzwHI6pwsHsg74Sr/lNya5OcntwOHA3kl2AKZV1dUAVfVMVT09DN9H0jhhAJM0GqwEXjdAPZvY5tl+79ex8SP+z1TVOoDmyNangbdW1b7A54Apg3yOJG02A5ik0eDbwOQk71xfSPL7wOPA25JMSDIV+EPglkH29XNgh42sm9L8XZPkJcBbAarqP4G+JCc0nz25uZJyU/uSpI0ygEka8arzyI63AH/U3IZiJbAA+BKwAvghnZD2vqr62SC7uxT4+vpJ+C/4nCfoHPW6HfhfwJJ+q08Fzk6yAvg+8NvNZ69tJuY7CV/SkPkoIkmSpJZ5BEySJKllBjBJkqSWGcAkSZJaZgCTJElqmQFMkiSpZQYwSZKklhnAJEmSWmYAkyRJatn/D2xWpE6e1SkHAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f6a203f79e8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "contract_plot = df.groupby(['Contract', 'Churn']).size().reset_index().pivot(columns='Churn', index='Contract', values=0)\n",
    "contract_plot.plot(x=contract_plot.index, kind='bar', stacked=True);\n",
    "print('Contract', collections.Counter(df['Contract']))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# PaperlessBilling"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 71,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "PaperlessBilling Counter({'Yes': 4171, 'No': 2872})\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f6a22fda160>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "paperlessbilling_plot = df.groupby(['PaperlessBilling', 'Churn']).size().reset_index().pivot(columns='Churn', index='PaperlessBilling', values=0)\n",
    "paperlessbilling_plot.plot(x=paperlessbilling_plot.index, kind='bar', stacked=True);\n",
    "print('PaperlessBilling', collections.Counter(df['PaperlessBilling']))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# PaymentMethod"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 72,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Churn                        No   Yes\n",
      "PaymentMethod                        \n",
      "Bank transfer (automatic)  1286   258\n",
      "Credit card (automatic)    1290   232\n",
      "Electronic check           1294  1071\n",
      "Mailed check               1304   308\n",
      "PaymentMethod Counter({'Electronic check': 2365, 'Mailed check': 1612, 'Bank transfer (automatic)': 1544, 'Credit card (automatic)': 1522})\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f6a206550b8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "\n",
    "paymentmethod_plot = df.groupby(['PaymentMethod', 'Churn']).size().reset_index().pivot(columns='Churn', index='PaymentMethod', values=0)\n",
    "paymentmethod_plot.plot(x=paymentmethod_plot.index, kind='bar', stacked=True);\n",
    "print(paymentmethod_plot)\n",
    "print('PaymentMethod', collections.Counter(df['PaymentMethod']))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# SeniorCitizen"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 73,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "SeniorCitizen Counter({0: 5901, 1: 1142})\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f6a33ba14e0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "seniorcitizen_plot = df.groupby(['SeniorCitizen', 'Churn']).size().reset_index().pivot(columns='Churn', index='SeniorCitizen', values=0)\n",
    "seniorcitizen_plot.plot(x=seniorcitizen_plot.index, kind='bar', stacked=True);\n",
    "print('SeniorCitizen', collections.Counter(df['SeniorCitizen']))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 探索数值型变量\n",
    "\n",
    "## Tenure"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 74,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f6a33a492e8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.kdeplot(df['tenure'].loc[df['Churn'] == 'No'], label='not churn', shade=True);\n",
    "sns.kdeplot(df['tenure'].loc[df['Churn'] == 'Yes'], label='churn', shade=True);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "count    5174.000000\n",
       "mean       37.569965\n",
       "std        24.113777\n",
       "min         0.000000\n",
       "25%        15.000000\n",
       "50%        38.000000\n",
       "75%        61.000000\n",
       "max        72.000000\n",
       "Name: tenure, dtype: float64"
      ]
     },
     "execution_count": 23,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df.tenure[df.Churn == 'No'].describe()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "count    1869.000000\n",
       "mean       17.979133\n",
       "std        19.531123\n",
       "min         1.000000\n",
       "25%         2.000000\n",
       "50%        10.000000\n",
       "75%        29.000000\n",
       "max        72.000000\n",
       "Name: tenure, dtype: float64"
      ]
     },
     "execution_count": 24,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df.tenure[df.Churn == 'Yes'].describe()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## MonthlyCharges"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 75,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f6a307d5240>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.kdeplot(df.MonthlyCharges[df.Churn == 'No'], label='not churn', shade=True);\n",
    "sns.kdeplot(df.MonthlyCharges[df.Churn == 'Yes'], label='churn', shade=True);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "count    5174.000000\n",
       "mean       61.265124\n",
       "std        31.092648\n",
       "min        18.250000\n",
       "25%        25.100000\n",
       "50%        64.425000\n",
       "75%        88.400000\n",
       "max       118.750000\n",
       "Name: MonthlyCharges, dtype: float64"
      ]
     },
     "execution_count": 26,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df.MonthlyCharges[df.Churn == 'No'].describe()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "count    1869.000000\n",
       "mean       74.441332\n",
       "std        24.666053\n",
       "min        18.850000\n",
       "25%        56.150000\n",
       "50%        79.650000\n",
       "75%        94.200000\n",
       "max       118.350000\n",
       "Name: MonthlyCharges, dtype: float64"
      ]
     },
     "execution_count": 27,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df.MonthlyCharges[df.Churn == 'Yes'].describe()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Total Charges"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 76,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/home/zheming2009/anaconda3/lib/python3.6/site-packages/statsmodels/nonparametric/kde.py:454: RuntimeWarning: invalid value encountered in greater\n",
      "  X = X[np.logical_and(X>clip[0], X<clip[1])] # won't work for two columns.\n",
      "/home/zheming2009/anaconda3/lib/python3.6/site-packages/statsmodels/nonparametric/kde.py:454: RuntimeWarning: invalid value encountered in less\n",
      "  X = X[np.logical_and(X>clip[0], X<clip[1])] # won't work for two columns.\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f6a3bcdfba8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.kdeplot(df['TotalCharges'].loc[df['Churn'] == 'No'], label='not churn', shade=True);\n",
    "sns.kdeplot(df['TotalCharges'].loc[df['Churn'] == 'Yes'], label='churn', shade=True);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "count    5163.000000\n",
       "mean     2555.344141\n",
       "std      2329.456984\n",
       "min        18.800000\n",
       "25%       577.825000\n",
       "50%      1683.600000\n",
       "75%      4264.125000\n",
       "max      8672.450000\n",
       "Name: TotalCharges, dtype: float64"
      ]
     },
     "execution_count": 29,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df.TotalCharges[df.Churn == 'No'].describe()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "count    1869.000000\n",
       "mean     1531.796094\n",
       "std      1890.822994\n",
       "min        18.850000\n",
       "25%       134.500000\n",
       "50%       703.550000\n",
       "75%      2331.300000\n",
       "max      8684.800000\n",
       "Name: TotalCharges, dtype: float64"
      ]
     },
     "execution_count": 30,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df.TotalCharges[df.Churn == 'Yes'].describe()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 对流失标志进行编码用0和1来代替No和Yes"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {},
   "outputs": [],
   "source": [
    "le = preprocessing.LabelEncoder()\n",
    "df.Churn = le.fit_transform(df.Churn.values)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "用列的均值填充列的空值"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {},
   "outputs": [],
   "source": [
    "df = df.fillna(df.mean())"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 对分类型变量进行one-hot编码"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {},
   "outputs": [],
   "source": [
    "categorical =  ['gender', 'Partner', 'Dependents', 'PhoneService', 'MultipleLines', 'InternetService', \n",
    "                'OnlineSecurity', 'OnlineBackup', 'DeviceProtection', 'TechSupport', 'StreamingTV', \n",
    "                'StreamingMovies', 'Contract', 'PaperlessBilling', 'PaymentMethod']\n",
    "for f in categorical:\n",
    "    dummies = pd.get_dummies(df[f], prefix = f, prefix_sep = '_')\n",
    "    df = pd.concat([df, dummies], axis = 1)\n",
    "df.drop(categorical, axis = 1, inplace = True)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Autoencoder"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(4085, 45) (2958, 45)\n",
      "(4085,) (2958,)\n"
     ]
    }
   ],
   "source": [
    "X_train, X_val = train_test_split(df, test_size=2958)\n",
    "\n",
    "cols = [c for c in df.columns if c not in ['customerID','Churn']]\n",
    "y_train = X_train['Churn'].as_matrix()\n",
    "X_train = MinMaxScaler().fit_transform(X_train[cols])\n",
    "y_val= X_val['Churn'].as_matrix()\n",
    "X_val = MinMaxScaler().fit_transform(X_val[cols])\n",
    "\n",
    "print(X_train.shape,X_val.shape)\n",
    "print(y_train.shape, y_val.shape)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(4085,) (1479,) (1479,) (7043, 47)\n"
     ]
    }
   ],
   "source": [
    "X_val, X_test, y_val, y_test = train_test_split(X_val, y_val, test_size=1479, random_state=0)\n",
    "print(y_train.shape, y_val.shape, y_test.shape, df.shape)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(1400, 45) (4000, 45)\n"
     ]
    }
   ],
   "source": [
    "def fit_batchsize(X,y,batch_size):\n",
    "    n_size = (len(X)//batch_size)*batch_size\n",
    "    X = X[0:n_size]\n",
    "    y = y[0:n_size]\n",
    "    return X, y\n",
    "\n",
    "batch_size = 100\n",
    "\n",
    "X_train, y_train = fit_batchsize(X_train,y_train, batch_size)\n",
    "X_val, y_val = fit_batchsize(X_val, y_val, batch_size)\n",
    "\n",
    "X_test,y_test = fit_batchsize(X_test,y_test, batch_size)\n",
    "print(X_val.shape, X_train.shape)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "metadata": {},
   "outputs": [],
   "source": [
    "# 定义输入层\n",
    "input_dim = X_train.shape[1]\n",
    "inputs = Input(shape=(input_dim,))\n",
    "# 定义 Encoder 层\n",
    "n_z = 2\n",
    "n_epoch = 200\n",
    "\n",
    "h_q = Dense(512, activation='relu')(inputs)\n",
    "mu = Dense(n_z, activation='linear')(h_q)\n",
    "log_sigma = Dense(n_z, activation='linear')(h_q)\n",
    "\n",
    "# Encoder model, to encode input into latent variable\n",
    "# We use the mean as the output as it is the center point, the representative of the gaussian\n",
    "encoder = Model(inputs, mu)\n",
    "\n",
    "def sample_z(args):\n",
    "    mu, log_sigma = args\n",
    "    eps = K.random_normal(shape=(batch_size, n_z), mean=0., stddev=1.)\n",
    "    return mu + K.exp(log_sigma / 2) * eps\n",
    "\n",
    "\n",
    "# Sample z ~ Q(z|X)\n",
    "z = Lambda(sample_z, name='sampleZ', output_shape=(n_z,))([mu, log_sigma])\n",
    "\n",
    "# Define decoder layers in VAE model\n",
    "decoder_hidden = Dense(512, activation='relu')\n",
    "decoder_out = Dense(input_dim, activation='sigmoid')\n",
    "\n",
    "h_p = decoder_hidden(z)\n",
    "outputs = decoder_out(h_p)\n",
    "\n",
    "# Overall VAE model, for reconstruction and training\n",
    "vae = Model(inputs, outputs)\n",
    "\n",
    "# Generator model, generate new data given latent variable z\n",
    "d_in = Input(shape=(n_z,))\n",
    "d_h = decoder_hidden(d_in)\n",
    "d_out = decoder_out(d_h)\n",
    "decoder = Model(d_in, d_out)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "encoder model structure：\n",
      "_________________________________________________________________\n",
      "Layer (type)                 Output Shape              Param #   \n",
      "=================================================================\n",
      "input_1 (InputLayer)         (None, 45)                0         \n",
      "_________________________________________________________________\n",
      "dense_1 (Dense)              (None, 512)               23552     \n",
      "_________________________________________________________________\n",
      "dense_2 (Dense)              (None, 2)                 1026      \n",
      "=================================================================\n",
      "Total params: 24,578\n",
      "Trainable params: 24,578\n",
      "Non-trainable params: 0\n",
      "_________________________________________________________________\n",
      "None\n",
      "\n",
      "\n",
      "decoder model structure：\n",
      "_________________________________________________________________\n",
      "Layer (type)                 Output Shape              Param #   \n",
      "=================================================================\n",
      "input_2 (InputLayer)         (None, 2)                 0         \n",
      "_________________________________________________________________\n",
      "dense_4 (Dense)              (None, 512)               1536      \n",
      "_________________________________________________________________\n",
      "dense_5 (Dense)              (None, 45)                23085     \n",
      "=================================================================\n",
      "Total params: 24,621\n",
      "Trainable params: 24,621\n",
      "Non-trainable params: 0\n",
      "_________________________________________________________________\n",
      "None\n",
      "\n",
      "\n",
      "vae model structure：\n",
      "__________________________________________________________________________________________________\n",
      "Layer (type)                    Output Shape         Param #     Connected to                     \n",
      "==================================================================================================\n",
      "input_1 (InputLayer)            (None, 45)           0                                            \n",
      "__________________________________________________________________________________________________\n",
      "dense_1 (Dense)                 (None, 512)          23552       input_1[0][0]                    \n",
      "__________________________________________________________________________________________________\n",
      "dense_2 (Dense)                 (None, 2)            1026        dense_1[0][0]                    \n",
      "__________________________________________________________________________________________________\n",
      "dense_3 (Dense)                 (None, 2)            1026        dense_1[0][0]                    \n",
      "__________________________________________________________________________________________________\n",
      "sampleZ (Lambda)                (None, 2)            0           dense_2[0][0]                    \n",
      "                                                                 dense_3[0][0]                    \n",
      "__________________________________________________________________________________________________\n",
      "dense_4 (Dense)                 (None, 512)          1536        sampleZ[0][0]                    \n",
      "__________________________________________________________________________________________________\n",
      "dense_5 (Dense)                 (None, 45)           23085       dense_4[0][0]                    \n",
      "==================================================================================================\n",
      "Total params: 50,225\n",
      "Trainable params: 50,225\n",
      "Non-trainable params: 0\n",
      "__________________________________________________________________________________________________\n",
      "None\n"
     ]
    }
   ],
   "source": [
    "print(\"encoder model structure：\")\n",
    "print(encoder.summary())\n",
    "print()\n",
    "print()\n",
    "print(\"decoder model structure：\")\n",
    "print(decoder.summary())\n",
    "print()\n",
    "print()\n",
    "print(\"vae model structure：\")\n",
    "print(vae.summary())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "metadata": {},
   "outputs": [],
   "source": [
    "# translate our loss into Keras code\n",
    "def vae_loss(y_true, y_pred):\n",
    "    \"\"\" Calculate loss = reconstruction loss + KL loss for each data in minibatch \"\"\"\n",
    "    recon = K.sum(K.binary_crossentropy(y_pred, y_true), axis=1)\n",
    "    kl = 0.5 * K.sum(K.exp(log_sigma) + K.square(mu) - 1. - log_sigma, axis=1)\n",
    "\n",
    "    return recon + kl"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Train on 4000 samples, validate on 1400 samples\n",
      "Epoch 1/200\n",
      "4000/4000 [==============================] - 1s 167us/step - loss: 274.1097 - val_loss: 208.8252\n",
      "Epoch 2/200\n",
      "4000/4000 [==============================] - 0s 55us/step - loss: 185.0365 - val_loss: 171.5412\n",
      "Epoch 3/200\n",
      "4000/4000 [==============================] - 0s 52us/step - loss: 165.0149 - val_loss: 159.2053\n",
      "Epoch 4/200\n",
      "4000/4000 [==============================] - 0s 49us/step - loss: 156.4769 - val_loss: 152.5888\n",
      "Epoch 5/200\n",
      "4000/4000 [==============================] - 0s 49us/step - loss: 147.0129 - val_loss: 142.0978\n",
      "Epoch 6/200\n",
      "4000/4000 [==============================] - 0s 52us/step - loss: 139.1050 - val_loss: 135.6492\n",
      "Epoch 7/200\n",
      "4000/4000 [==============================] - 0s 53us/step - loss: 132.7848 - val_loss: 131.7966\n",
      "Epoch 8/200\n",
      "4000/4000 [==============================] - 0s 52us/step - loss: 129.6531 - val_loss: 129.2081\n",
      "Epoch 9/200\n",
      "4000/4000 [==============================] - 0s 53us/step - loss: 127.5062 - val_loss: 127.1159\n",
      "Epoch 10/200\n",
      "4000/4000 [==============================] - 0s 49us/step - loss: 125.6209 - val_loss: 125.3150\n",
      "Epoch 11/200\n",
      "4000/4000 [==============================] - 0s 41us/step - loss: 123.9688 - val_loss: 124.2490\n",
      "Epoch 12/200\n",
      "4000/4000 [==============================] - 0s 41us/step - loss: 122.8562 - val_loss: 123.3858\n",
      "Epoch 13/200\n",
      "4000/4000 [==============================] - 0s 41us/step - loss: 122.0522 - val_loss: 122.3313\n",
      "Epoch 14/200\n",
      "4000/4000 [==============================] - 0s 43us/step - loss: 120.8608 - val_loss: 121.7687\n",
      "Epoch 15/200\n",
      "4000/4000 [==============================] - 0s 41us/step - loss: 120.2902 - val_loss: 120.6365\n",
      "Epoch 16/200\n",
      "4000/4000 [==============================] - 0s 40us/step - loss: 119.3140 - val_loss: 119.9966\n",
      "Epoch 17/200\n",
      "4000/4000 [==============================] - 0s 43us/step - loss: 118.6359 - val_loss: 119.8184\n",
      "Epoch 18/200\n",
      "4000/4000 [==============================] - 0s 41us/step - loss: 117.8699 - val_loss: 119.1131\n",
      "Epoch 19/200\n",
      "4000/4000 [==============================] - 0s 42us/step - loss: 117.6274 - val_loss: 118.5397\n",
      "Epoch 20/200\n",
      "4000/4000 [==============================] - 0s 49us/step - loss: 116.7807 - val_loss: 118.2899\n",
      "Epoch 21/200\n",
      "4000/4000 [==============================] - 0s 42us/step - loss: 116.2958 - val_loss: 118.1414\n",
      "Epoch 22/200\n",
      "4000/4000 [==============================] - 0s 39us/step - loss: 115.9294 - val_loss: 117.9964\n",
      "Epoch 23/200\n",
      "4000/4000 [==============================] - 0s 40us/step - loss: 115.6004 - val_loss: 117.3691\n",
      "Epoch 24/200\n",
      "4000/4000 [==============================] - 0s 40us/step - loss: 115.2165 - val_loss: 116.7675\n",
      "Epoch 25/200\n",
      "4000/4000 [==============================] - 0s 40us/step - loss: 114.6892 - val_loss: 116.4997\n",
      "Epoch 26/200\n",
      "4000/4000 [==============================] - 0s 43us/step - loss: 114.1871 - val_loss: 116.3335\n",
      "Epoch 27/200\n",
      "4000/4000 [==============================] - 0s 42us/step - loss: 113.9368 - val_loss: 115.8708\n",
      "Epoch 28/200\n",
      "4000/4000 [==============================] - 0s 42us/step - loss: 113.5705 - val_loss: 116.0137\n",
      "Epoch 29/200\n",
      "4000/4000 [==============================] - 0s 41us/step - loss: 113.2408 - val_loss: 115.4842\n",
      "Epoch 30/200\n",
      "4000/4000 [==============================] - 0s 40us/step - loss: 112.7422 - val_loss: 115.2959\n",
      "Epoch 31/200\n",
      "4000/4000 [==============================] - 0s 40us/step - loss: 112.4202 - val_loss: 115.1370\n",
      "Epoch 32/200\n",
      "4000/4000 [==============================] - 0s 40us/step - loss: 112.1459 - val_loss: 114.3648\n",
      "Epoch 33/200\n",
      "4000/4000 [==============================] - 0s 42us/step - loss: 111.9446 - val_loss: 114.2611\n",
      "Epoch 34/200\n",
      "4000/4000 [==============================] - 0s 42us/step - loss: 111.1858 - val_loss: 113.5859\n",
      "Epoch 35/200\n",
      "4000/4000 [==============================] - 0s 42us/step - loss: 111.0023 - val_loss: 113.5176\n",
      "Epoch 36/200\n",
      "4000/4000 [==============================] - 0s 40us/step - loss: 110.4303 - val_loss: 113.5785\n",
      "Epoch 37/200\n",
      "4000/4000 [==============================] - 0s 40us/step - loss: 110.4845 - val_loss: 113.2851\n",
      "Epoch 38/200\n",
      "4000/4000 [==============================] - 0s 41us/step - loss: 110.1780 - val_loss: 113.0957\n",
      "Epoch 39/200\n",
      "4000/4000 [==============================] - 0s 39us/step - loss: 110.0661 - val_loss: 113.2164\n",
      "Epoch 40/200\n",
      "4000/4000 [==============================] - 0s 38us/step - loss: 109.9585 - val_loss: 112.8627\n",
      "Epoch 41/200\n",
      "4000/4000 [==============================] - 0s 39us/step - loss: 109.2943 - val_loss: 112.5396\n",
      "Epoch 42/200\n",
      "4000/4000 [==============================] - 0s 40us/step - loss: 109.1495 - val_loss: 112.6867\n",
      "Epoch 43/200\n",
      "4000/4000 [==============================] - 0s 40us/step - loss: 108.8643 - val_loss: 112.0699\n",
      "Epoch 44/200\n",
      "4000/4000 [==============================] - 0s 41us/step - loss: 108.6617 - val_loss: 112.1159\n",
      "Epoch 45/200\n",
      "4000/4000 [==============================] - 0s 43us/step - loss: 108.4912 - val_loss: 112.3640\n",
      "Epoch 46/200\n",
      "4000/4000 [==============================] - 0s 41us/step - loss: 108.7032 - val_loss: 112.4112\n",
      "Epoch 47/200\n",
      "4000/4000 [==============================] - 0s 42us/step - loss: 108.3107 - val_loss: 112.1571\n",
      "Epoch 48/200\n",
      "4000/4000 [==============================] - 0s 40us/step - loss: 108.2379 - val_loss: 112.4110\n",
      "Epoch 49/200\n",
      "4000/4000 [==============================] - 0s 43us/step - loss: 107.7927 - val_loss: 111.6748\n",
      "Epoch 50/200\n",
      "4000/4000 [==============================] - 0s 41us/step - loss: 107.8950 - val_loss: 112.3495\n",
      "Epoch 51/200\n",
      "4000/4000 [==============================] - 0s 41us/step - loss: 107.9077 - val_loss: 111.9484\n",
      "Epoch 52/200\n",
      "4000/4000 [==============================] - 0s 45us/step - loss: 107.3168 - val_loss: 111.7124\n",
      "Epoch 53/200\n",
      "4000/4000 [==============================] - 0s 41us/step - loss: 106.9300 - val_loss: 111.5774\n",
      "Epoch 54/200\n",
      "4000/4000 [==============================] - 0s 39us/step - loss: 106.9917 - val_loss: 111.5371\n",
      "Epoch 55/200\n",
      "4000/4000 [==============================] - 0s 38us/step - loss: 107.8336 - val_loss: 111.8699\n",
      "Epoch 56/200\n",
      "4000/4000 [==============================] - 0s 42us/step - loss: 107.1939 - val_loss: 111.4828\n"
     ]
    }
   ],
   "source": [
    "vae.compile(optimizer='adam', loss=vae_loss)\n",
    "vae_history = vae.fit(X_train, X_train, batch_size=batch_size, shuffle=True, \n",
    "                      validation_data = (X_val, X_val),\n",
    "                    epochs=n_epoch, callbacks = [EarlyStopping(monitor='loss',patience = 3)])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 77,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f6a30685400>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(vae_history.history['loss'])\n",
    "plt.plot(vae_history.history['val_loss'])\n",
    "plt.title('model loss')\n",
    "plt.ylabel('loss')\n",
    "plt.xlabel('epoch')\n",
    "plt.legend(['train', 'test'], loc='upper left')\n",
    "plt.show();"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# X_train中的误差分布"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 42,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f6a3075ed68>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "x_train_encoded = encoder.predict(X_train)\n",
    "\n",
    "pred_train = decoder.predict(x_train_encoded)\n",
    "mse = np.mean(np.power(X_train - pred_train, 2), axis=1)\n",
    "error_df = pd.DataFrame({'recon_error': mse,\n",
    "                        'churn': y_train})\n",
    "\n",
    "plt.figure(figsize=(10,6))\n",
    "sns.kdeplot(error_df.recon_error[error_df.churn==0], label='not churn', shade=True, clip=(0,10))\n",
    "sns.kdeplot(error_df.recon_error[error_df.churn==1], label='churn', shade=True, clip=(0,10))\n",
    "plt.xlabel('reconstruction error');\n",
    "plt.title('Reconstruction error - Train set');"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# X_val中的误差分布"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 43,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f6a307d1470>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "x_val_encoded = encoder.predict(X_val)\n",
    "pred = decoder.predict(x_val_encoded)\n",
    "mseV = np.mean(np.power(X_val - pred, 2), axis=1)\n",
    "error_df = pd.DataFrame({'recon_error': mseV,\n",
    "                        'churn': y_val})\n",
    "plt.figure(figsize=(10,6))\n",
    "sns.kdeplot(error_df.recon_error[error_df.churn==0], label='not churn', shade=True, clip=(0,10))\n",
    "sns.kdeplot(error_df.recon_error[error_df.churn==1], label='churn', shade=True, clip=(0,10))\n",
    "plt.xlabel('reconstruction error');\n",
    "plt.title('Reconstruction error - Validation set');"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 潜变量空间可视化"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 78,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f6a200995f8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "x_train_encoded = encoder.predict(X_train)\n",
    "\n",
    "plt.scatter(x_train_encoded[:, 0], x_train_encoded[:, 1], \n",
    "            c=y_train, alpha=0.6)\n",
    "plt.title('Train set in latent space')\n",
    "plt.show();"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 79,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f6a206a9470>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "x_val_encoded = encoder.predict(X_val)\n",
    "\n",
    "plt.scatter(x_val_encoded[:, 0], x_val_encoded[:, 1], \n",
    "            c=y_val, alpha=0.6)\n",
    "\n",
    "plt.title('Validation set in latent space')\n",
    "plt.show();"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 在潜变量空间中进行分类"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 80,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f6a204c61d0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from matplotlib.colors import ListedColormap\n",
    "from sklearn import neighbors, datasets\n",
    "weights='uniform'\n",
    "n_neighbors=20\n",
    "clf = neighbors.KNeighborsClassifier(n_neighbors, weights=weights)\n",
    "X=x_train_encoded\n",
    "y=y_train\n",
    "clf.fit(X, y)\n",
    "\n",
    "h=0.2\n",
    "cmap_light = ListedColormap(['#FFAAAA', '#AAFFAA'])\n",
    "cmap_bold = ListedColormap(['#FF0000', '#00FF00'])\n",
    "# Plot the decision boundary. For that, we will assign a color to each\n",
    "# point in the mesh [x_min, x_max]x[y_min, y_max].\n",
    "x_min, x_max = X[:, 0].min() - 1, X[:, 0].max() + 1\n",
    "y_min, y_max = X[:, 1].min() - 1, X[:, 1].max() + 1\n",
    "xx, yy = np.meshgrid(np.arange(x_min, x_max, h),np.arange(y_min, y_max, h))\n",
    "Z = clf.predict(np.c_[xx.ravel(), yy.ravel()])\n",
    "\n",
    "# Put the result into a color plot\n",
    "Z = Z.reshape(xx.shape)\n",
    "plt.figure()\n",
    "plt.pcolormesh(xx, yy, Z, cmap=cmap_light)\n",
    "\n",
    "# Plot also the training points\n",
    "plt.scatter(X[:, 0], X[:, 1], c=y, cmap=cmap_bold,\n",
    "            edgecolor='k', s=20)\n",
    "plt.xlim(xx.min(), xx.max())\n",
    "plt.ylim(yy.min(), yy.max())\n",
    "plt.title(\"2-Class classification (k = %i, weights = '%s')\"\n",
    "            % (n_neighbors, weights));"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 对分类模型进行评估"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 81,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f6a2036e5c0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "x_val_encoded = encoder.predict(X_val)\n",
    "fpr, tpr, thresholds = roc_curve(y_val, clf.predict(x_val_encoded))\n",
    "roc_auc = auc(fpr, tpr)\n",
    "\n",
    "plt.title('Receiver Operating Characteristic')\n",
    "plt.plot(fpr, tpr, label='AUC = %0.4f'% roc_auc)\n",
    "plt.legend(loc='lower right')\n",
    "plt.plot([0,1],[0,1],'r--')\n",
    "plt.xlim([-0.001, 1])\n",
    "plt.ylim([0, 1.001])\n",
    "plt.ylabel('True Positive Rate')\n",
    "plt.xlabel('False Positive Rate')\n",
    "plt.show();"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 48,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Accuracy:\n",
      "0.7557142857142857\n",
      "Confusion Matrix:\n",
      "[[918  99]\n",
      " [243 140]]\n",
      "Classification Report:\n",
      "             precision    recall  f1-score   support\n",
      "\n",
      "          0       0.79      0.90      0.84      1017\n",
      "          1       0.59      0.37      0.45       383\n",
      "\n",
      "avg / total       0.73      0.76      0.74      1400\n",
      "\n"
     ]
    }
   ],
   "source": [
    "print('Accuracy:')\n",
    "print(accuracy_score(y_val, clf.predict(x_val_encoded)))\n",
    "print(\"Confusion Matrix:\")\n",
    "print(confusion_matrix(y_val,clf.predict(x_val_encoded)))\n",
    "print(\"Classification Report:\")\n",
    "print(classification_report(y_val,clf.predict(x_val_encoded)))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 82,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f6a20428eb8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "x_test_encoded = encoder.predict(X_test)\n",
    "fpr, tpr, thresholds = roc_curve(y_test, clf.predict(x_test_encoded))\n",
    "roc_auc = auc(fpr, tpr)\n",
    "plt.title('Receiver Operating Characteristic')\n",
    "plt.plot(fpr, tpr, label='AUC = %0.4f'% roc_auc)\n",
    "plt.legend(loc='lower right')\n",
    "plt.plot([0,1],[0,1],'r--')\n",
    "plt.xlim([-0.001, 1])\n",
    "plt.ylim([0, 1.001])\n",
    "plt.ylabel('True Positive Rate')\n",
    "plt.xlabel('False Positive Rate')\n",
    "plt.show();\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 50,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Accuracy:\n",
      "0.7485714285714286\n",
      "Confusion Matrix:\n",
      "[[915 115]\n",
      " [237 133]]\n",
      "Classification Report:\n",
      "             precision    recall  f1-score   support\n",
      "\n",
      "          0       0.79      0.89      0.84      1030\n",
      "          1       0.54      0.36      0.43       370\n",
      "\n",
      "avg / total       0.73      0.75      0.73      1400\n",
      "\n"
     ]
    }
   ],
   "source": [
    "print('Accuracy:')\n",
    "print(accuracy_score(y_test, clf.predict(x_test_encoded)))\n",
    "print(\"Confusion Matrix:\")\n",
    "print(confusion_matrix(y_test,clf.predict(x_test_encoded)))\n",
    "print(\"Classification Report:\")\n",
    "print(classification_report(y_test,clf.predict(x_test_encoded)))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.6.4"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}