imbalanced_analysis.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "# Dealing with imbalanced datasets\n",
    "\n",
    "# Christian Barra\n",
    "# PyData Wroclaw - 21/08/2017\n",
    "\n",
    "### Questions? Save them for later!"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "# Hey there!\n",
    "\n",
    "# I am (freelancer U consultant U trainer) ∩ Python 🐍\n",
    "\n",
    "# @christianbarra\n",
    "# me@chrisbarra.xyz"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "Before diving into our data.\n",
    "\n",
    "## What is an imbalanced dataset?"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "source": [
    "An imbalanced dataset, when we are talking about a binary classification problem, **is a dataset where the distribution of our dataset is skewed toward 1 class**.\n",
    "\n",
    "\n",
    "## In other words we have many more samples of one class and a lot, a lot less of the class we want to predict."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "source": [
    "Generally you consider a dataset imbalanced when the class that you want to predict counts for only 30% of your samples.\n",
    "\n",
    "There is not a lower boundary.\n",
    "\n",
    "100/1000, 10/1000, 1/1000, depending from your context the dataset could be very imbalanced."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "source": [
    "# This is a plot of an imbalanced dataset"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "-"
    }
   },
   "source": [
    "![alt text](http://www.svds.com/wp-content/uploads/2016/08/messy.png)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "source": [
    "# Is this relevant to you?\n",
    "\n",
    "### Do you want to predict the churn rate? Yes.\n",
    "### Do you want to predict drop out inside your company? Yes.\n",
    "### Will this user convert? Yes."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "# Let's start!"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": true,
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "outputs": [],
   "source": [
    "import pandas as pd\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": true,
    "slideshow": {
     "slide_type": "-"
    }
   },
   "outputs": [],
   "source": [
    "my_data = pd.read_csv(\"data/churn_telco.csv\", sep=\";\", decimal=\",\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style>\n",
       "    .dataframe thead tr:only-child th {\n",
       "        text-align: right;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: left;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>Account Length</th>\n",
       "      <th>VMail Message</th>\n",
       "      <th>Day Mins</th>\n",
       "      <th>Eve Mins</th>\n",
       "      <th>Night Mins</th>\n",
       "      <th>Intl Mins</th>\n",
       "      <th>CustServ Calls</th>\n",
       "      <th>Churn</th>\n",
       "      <th>Int'l Plan</th>\n",
       "      <th>VMail Plan</th>\n",
       "      <th>...</th>\n",
       "      <th>Day Charge</th>\n",
       "      <th>Eve Calls</th>\n",
       "      <th>Eve Charge</th>\n",
       "      <th>Night Calls</th>\n",
       "      <th>Night Charge</th>\n",
       "      <th>Intl Calls</th>\n",
       "      <th>Intl Charge</th>\n",
       "      <th>State</th>\n",
       "      <th>Area Code</th>\n",
       "      <th>Phone</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>128</td>\n",
       "      <td>25</td>\n",
       "      <td>265.1</td>\n",
       "      <td>197.4</td>\n",
       "      <td>244.7</td>\n",
       "      <td>10.0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>...</td>\n",
       "      <td>45.07</td>\n",
       "      <td>99</td>\n",
       "      <td>16.78</td>\n",
       "      <td>91</td>\n",
       "      <td>11.01</td>\n",
       "      <td>3</td>\n",
       "      <td>2.70</td>\n",
       "      <td>KS</td>\n",
       "      <td>415</td>\n",
       "      <td>382-4657</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>107</td>\n",
       "      <td>26</td>\n",
       "      <td>161.6</td>\n",
       "      <td>195.5</td>\n",
       "      <td>254.4</td>\n",
       "      <td>13.7</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>...</td>\n",
       "      <td>27.47</td>\n",
       "      <td>103</td>\n",
       "      <td>16.62</td>\n",
       "      <td>103</td>\n",
       "      <td>11.45</td>\n",
       "      <td>3</td>\n",
       "      <td>3.70</td>\n",
       "      <td>OH</td>\n",
       "      <td>415</td>\n",
       "      <td>371-7191</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>137</td>\n",
       "      <td>0</td>\n",
       "      <td>243.4</td>\n",
       "      <td>121.2</td>\n",
       "      <td>162.6</td>\n",
       "      <td>12.2</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>...</td>\n",
       "      <td>41.38</td>\n",
       "      <td>110</td>\n",
       "      <td>10.30</td>\n",
       "      <td>104</td>\n",
       "      <td>7.32</td>\n",
       "      <td>5</td>\n",
       "      <td>3.29</td>\n",
       "      <td>NJ</td>\n",
       "      <td>415</td>\n",
       "      <td>358-1921</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>84</td>\n",
       "      <td>0</td>\n",
       "      <td>299.4</td>\n",
       "      <td>61.9</td>\n",
       "      <td>196.9</td>\n",
       "      <td>6.6</td>\n",
       "      <td>2</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>...</td>\n",
       "      <td>50.90</td>\n",
       "      <td>88</td>\n",
       "      <td>5.26</td>\n",
       "      <td>89</td>\n",
       "      <td>8.86</td>\n",
       "      <td>7</td>\n",
       "      <td>1.78</td>\n",
       "      <td>OH</td>\n",
       "      <td>408</td>\n",
       "      <td>375-9999</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>75</td>\n",
       "      <td>0</td>\n",
       "      <td>166.7</td>\n",
       "      <td>148.3</td>\n",
       "      <td>186.9</td>\n",
       "      <td>10.1</td>\n",
       "      <td>3</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>...</td>\n",
       "      <td>28.34</td>\n",
       "      <td>122</td>\n",
       "      <td>12.61</td>\n",
       "      <td>121</td>\n",
       "      <td>8.41</td>\n",
       "      <td>3</td>\n",
       "      <td>2.73</td>\n",
       "      <td>OK</td>\n",
       "      <td>415</td>\n",
       "      <td>330-6626</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>5 rows × 21 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "   Account Length  VMail Message  Day Mins  Eve Mins  Night Mins  Intl Mins  \\\n",
       "0             128             25     265.1     197.4       244.7       10.0   \n",
       "1             107             26     161.6     195.5       254.4       13.7   \n",
       "2             137              0     243.4     121.2       162.6       12.2   \n",
       "3              84              0     299.4      61.9       196.9        6.6   \n",
       "4              75              0     166.7     148.3       186.9       10.1   \n",
       "\n",
       "   CustServ Calls  Churn  Int'l Plan  VMail Plan    ...     Day Charge  \\\n",
       "0               1      0           0           1    ...          45.07   \n",
       "1               1      0           0           1    ...          27.47   \n",
       "2               0      0           0           0    ...          41.38   \n",
       "3               2      0           1           0    ...          50.90   \n",
       "4               3      0           1           0    ...          28.34   \n",
       "\n",
       "   Eve Calls  Eve Charge  Night Calls  Night Charge  Intl Calls  Intl Charge  \\\n",
       "0         99       16.78           91         11.01           3         2.70   \n",
       "1        103       16.62          103         11.45           3         3.70   \n",
       "2        110       10.30          104          7.32           5         3.29   \n",
       "3         88        5.26           89          8.86           7         1.78   \n",
       "4        122       12.61          121          8.41           3         2.73   \n",
       "\n",
       "   State Area Code     Phone  \n",
       "0     KS       415  382-4657  \n",
       "1     OH       415  371-7191  \n",
       "2     NJ       415  358-1921  \n",
       "3     OH       408  375-9999  \n",
       "4     OK       415  330-6626  \n",
       "\n",
       "[5 rows x 21 columns]"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "my_data.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "<class 'pandas.core.frame.DataFrame'>\n",
      "RangeIndex: 3333 entries, 0 to 3332\n",
      "Data columns (total 21 columns):\n",
      "Account Length    3333 non-null int64\n",
      "VMail Message     3333 non-null int64\n",
      "Day Mins          3333 non-null float64\n",
      "Eve Mins          3333 non-null float64\n",
      "Night Mins        3333 non-null float64\n",
      "Intl Mins         3333 non-null float64\n",
      "CustServ Calls    3333 non-null int64\n",
      "Churn             3333 non-null int64\n",
      "Int'l Plan        3333 non-null int64\n",
      "VMail Plan        3333 non-null int64\n",
      "Day Calls         3333 non-null int64\n",
      "Day Charge        3333 non-null float64\n",
      "Eve Calls         3333 non-null int64\n",
      "Eve Charge        3333 non-null float64\n",
      "Night Calls       3333 non-null int64\n",
      "Night Charge      3333 non-null float64\n",
      "Intl Calls        3333 non-null int64\n",
      "Intl Charge       3333 non-null float64\n",
      "State             3333 non-null object\n",
      "Area Code         3333 non-null int64\n",
      "Phone             3333 non-null object\n",
      "dtypes: float64(8), int64(11), object(2)\n",
      "memory usage: 546.9+ KB\n"
     ]
    }
   ],
   "source": [
    "my_data.info()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "source": [
    "# features: 20\n",
    "# label: (0,1) Churn\n",
    "# Samples: 3333 "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "2850"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "len(my_data[my_data['Churn'] == 0])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "slideshow": {
     "slide_type": "-"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "483"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "len(my_data[my_data['Churn'] == 1])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "slideshow": {
     "slide_type": "-"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "14.491449144914492"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "(len(my_data[my_data['Churn'] == 1]) / my_data.shape[0]) * 100"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "-"
    }
   },
   "source": [
    "## 14.5 % of our samples churned"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "source": [
    "# Let's check if we have NaN values"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "slideshow": {
     "slide_type": "-"
    }
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style>\n",
       "    .dataframe thead tr:only-child th {\n",
       "        text-align: right;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: left;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>Account Length</th>\n",
       "      <th>VMail Message</th>\n",
       "      <th>Day Mins</th>\n",
       "      <th>Eve Mins</th>\n",
       "      <th>Night Mins</th>\n",
       "      <th>Intl Mins</th>\n",
       "      <th>CustServ Calls</th>\n",
       "      <th>Churn</th>\n",
       "      <th>Int'l Plan</th>\n",
       "      <th>VMail Plan</th>\n",
       "      <th>...</th>\n",
       "      <th>Day Charge</th>\n",
       "      <th>Eve Calls</th>\n",
       "      <th>Eve Charge</th>\n",
       "      <th>Night Calls</th>\n",
       "      <th>Night Charge</th>\n",
       "      <th>Intl Calls</th>\n",
       "      <th>Intl Charge</th>\n",
       "      <th>State</th>\n",
       "      <th>Area Code</th>\n",
       "      <th>Phone</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>0 rows × 21 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "Empty DataFrame\n",
       "Columns: [Account Length, VMail Message, Day Mins, Eve Mins, Night Mins, Intl Mins, CustServ Calls, Churn, Int'l Plan, VMail Plan, Day Calls, Day Charge, Eve Calls, Eve Charge, Night Calls, Night Charge, Intl Calls, Intl Charge, State, Area Code, Phone]\n",
       "Index: []\n",
       "\n",
       "[0 rows x 21 columns]"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "my_data[pd.isnull(my_data).any(axis=1)]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Account Length         NaN\n",
       "VMail Message          NaN\n",
       "Day Mins          0.205151\n",
       "Eve Mins               NaN\n",
       "Night Mins             NaN\n",
       "Intl Mins              NaN\n",
       "CustServ Calls    0.208750\n",
       "Churn             1.000000\n",
       "Int'l Plan        0.259852\n",
       "VMail Plan             NaN\n",
       "Day Calls              NaN\n",
       "Day Charge        0.205151\n",
       "Eve Calls              NaN\n",
       "Eve Charge             NaN\n",
       "Night Calls            NaN\n",
       "Night Charge           NaN\n",
       "Intl Calls             NaN\n",
       "Intl Charge            NaN\n",
       "Area Code              NaN\n",
       "Name: Churn, dtype: float64"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "my_data.corr()[(my_data.corr() > 0.20) | (my_data.corr() < -0.20)]['Churn']"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAvUAAALECAYAAACIZM+FAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x11bcbfac8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import seaborn as sns\n",
    "sns.set(style=\"ticks\")\n",
    "\n",
    "sns.pairplot(my_data, vars=[\"Day Mins\",\"CustServ Calls\", \"Int'l Plan\" , \"Day Charge\"], hue=\"Churn\", markers=\"*\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(3333, 71)"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "features = my_data.copy()\n",
    "features_hot_encoded = pd.get_dummies(features, columns=[\"State\"])\n",
    "features_hot_encoded.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "collapsed": true,
    "slideshow": {
     "slide_type": "-"
    }
   },
   "outputs": [],
   "source": [
    "label = features_hot_encoded['Churn']\n",
    "features_hot_encoded = features_hot_encoded.drop([\"Churn\",\"Phone\"], axis=1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style>\n",
       "    .dataframe thead tr:only-child th {\n",
       "        text-align: right;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: left;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>Account Length</th>\n",
       "      <th>VMail Message</th>\n",
       "      <th>Day Mins</th>\n",
       "      <th>Eve Mins</th>\n",
       "      <th>Night Mins</th>\n",
       "      <th>Intl Mins</th>\n",
       "      <th>CustServ Calls</th>\n",
       "      <th>Int'l Plan</th>\n",
       "      <th>VMail Plan</th>\n",
       "      <th>Day Calls</th>\n",
       "      <th>...</th>\n",
       "      <th>State_SD</th>\n",
       "      <th>State_TN</th>\n",
       "      <th>State_TX</th>\n",
       "      <th>State_UT</th>\n",
       "      <th>State_VA</th>\n",
       "      <th>State_VT</th>\n",
       "      <th>State_WA</th>\n",
       "      <th>State_WI</th>\n",
       "      <th>State_WV</th>\n",
       "      <th>State_WY</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>128</td>\n",
       "      <td>25</td>\n",
       "      <td>265.1</td>\n",
       "      <td>197.4</td>\n",
       "      <td>244.7</td>\n",
       "      <td>10.0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>110</td>\n",
       "      <td>...</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>107</td>\n",
       "      <td>26</td>\n",
       "      <td>161.6</td>\n",
       "      <td>195.5</td>\n",
       "      <td>254.4</td>\n",
       "      <td>13.7</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>123</td>\n",
       "      <td>...</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>137</td>\n",
       "      <td>0</td>\n",
       "      <td>243.4</td>\n",
       "      <td>121.2</td>\n",
       "      <td>162.6</td>\n",
       "      <td>12.2</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>114</td>\n",
       "      <td>...</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>84</td>\n",
       "      <td>0</td>\n",
       "      <td>299.4</td>\n",
       "      <td>61.9</td>\n",
       "      <td>196.9</td>\n",
       "      <td>6.6</td>\n",
       "      <td>2</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>71</td>\n",
       "      <td>...</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>75</td>\n",
       "      <td>0</td>\n",
       "      <td>166.7</td>\n",
       "      <td>148.3</td>\n",
       "      <td>186.9</td>\n",
       "      <td>10.1</td>\n",
       "      <td>3</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>113</td>\n",
       "      <td>...</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>5 rows × 69 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "   Account Length  VMail Message  Day Mins  Eve Mins  Night Mins  Intl Mins  \\\n",
       "0             128             25     265.1     197.4       244.7       10.0   \n",
       "1             107             26     161.6     195.5       254.4       13.7   \n",
       "2             137              0     243.4     121.2       162.6       12.2   \n",
       "3              84              0     299.4      61.9       196.9        6.6   \n",
       "4              75              0     166.7     148.3       186.9       10.1   \n",
       "\n",
       "   CustServ Calls  Int'l Plan  VMail Plan  Day Calls    ...     State_SD  \\\n",
       "0               1           0           1        110    ...            0   \n",
       "1               1           0           1        123    ...            0   \n",
       "2               0           0           0        114    ...            0   \n",
       "3               2           1           0         71    ...            0   \n",
       "4               3           1           0        113    ...            0   \n",
       "\n",
       "   State_TN  State_TX  State_UT  State_VA  State_VT  State_WA  State_WI  \\\n",
       "0         0         0         0         0         0         0         0   \n",
       "1         0         0         0         0         0         0         0   \n",
       "2         0         0         0         0         0         0         0   \n",
       "3         0         0         0         0         0         0         0   \n",
       "4         0         0         0         0         0         0         0   \n",
       "\n",
       "   State_WV  State_WY  \n",
       "0         0         0  \n",
       "1         0         0  \n",
       "2         0         0  \n",
       "3         0         0  \n",
       "4         0         0  \n",
       "\n",
       "[5 rows x 69 columns]"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "features_hot_encoded.head()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "# First try\n",
    "## Logistic regression"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {
    "collapsed": true,
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "outputs": [],
   "source": [
    "from sklearn.linear_model import LogisticRegression\n",
    "from sklearn.model_selection import train_test_split\n",
    "from sklearn.metrics import (accuracy_score, f1_score, roc_curve, \n",
    "                             confusion_matrix, classification_report, auc)\n",
    "from utils import plot_confusion_matrix"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {
    "collapsed": true,
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "outputs": [],
   "source": [
    "classes = (\"Not churned\", \"Churned\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {
    "collapsed": true,
    "slideshow": {
     "slide_type": "-"
    }
   },
   "outputs": [],
   "source": [
    "X_train, X_test, y_train, y_test = train_test_split(features_hot_encoded, label, test_size=0.20, random_state=42)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {
    "collapsed": true,
    "slideshow": {
     "slide_type": "-"
    }
   },
   "outputs": [],
   "source": [
    "clf = LogisticRegression()\n",
    "clf.fit(X_train.values, y_train.values)\n",
    "y_predicted = clf.predict(X_test.values)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {
    "slideshow": {
     "slide_type": "-"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.8500749625187406"
      ]
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Accuracy measures the similarity of the test and predicted Y\n",
    "accuracy_score(y_test, y_predicted)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "source": [
    "# awesome!\n",
    "0.85 accuracy after the first iteration"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAArEAAALBCAYAAABP+PnsAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x11976f9e8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Plot confusion matrix\n",
    "cm = confusion_matrix(y_test, y_predicted)\n",
    "plot_confusion_matrix(cm, classes=classes, title='Confusion matrix')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Accuracy is probably the worst metric you can use when you deal with imbalanced datasets.\n",
    "\n",
    "Whichever metric you decide to use, don't forget to plot a confusion matrix, it tells you honestly how well your model is doing.\n",
    "\n",
    "Other metrics that you can use are precision, recall and f1-score.\n",
    "\n",
    "It is also common to use the ROC curve and AUC (Area Under the Curve) but they could be misleding for imbalanced datasets."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "             precision    recall  f1-score   support\n",
      "\n",
      "Not churned       0.87      0.98      0.92       566\n",
      "    Churned       0.52      0.15      0.23       101\n",
      "\n",
      "avg / total       0.81      0.85      0.81       667\n",
      "\n"
     ]
    }
   ],
   "source": [
    "print(classification_report(y_test, y_predicted, target_names=classes))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Small intro to metrics\n",
    "**Precision** is a metric that shows how `precise` is the algorithm in finding true positive\n",
    "\n",
    "**Recall** is a metric that shows how `good` is the algorithm in finding positives\n",
    "\n",
    "**F1-score** is built using precision and recall\n",
    "\n",
    "This is the formula for F1-score:\n",
    "\\begin{equation*}\n",
    "F_{1}= 2\\times \\frac {\\text{precision} \\times \\text{recall}}{\\text{precision} + \\text{recall}}\n",
    "\\end{equation*}\n",
    "\n",
    "**Support** is the number of positive and negative samples\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "# Here we are genereting the ROC curve, we are going to compare them later\n",
    "y_score = clf.decision_function(X_test.values)\n",
    "first_model_fpr, first_model_tpr, _ = roc_curve(y_test, y_score)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "# Change classifier"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {
    "collapsed": true,
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "outputs": [],
   "source": [
    "from sklearn.ensemble import AdaBoostClassifier"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {
    "slideshow": {
     "slide_type": "-"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(0.87256371814092959, 0.44444444444444448)"
      ]
     },
     "execution_count": 23,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "clf = AdaBoostClassifier()\n",
    "clf.fit(X_train.values, y_train.values)\n",
    "y_predicted = clf.predict(X_test.values)\n",
    "accuracy_score(y_test, y_predicted), f1_score(y_test, y_predicted)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAArEAAALBCAYAAABP+PnsAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n6SjEioiIiIjpKMSKiIiIiOn8H3GHo2NkI/R5AAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x11041a7b8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Plot non-normalized confusion matrix\n",
    "cm = confusion_matrix(y_test, y_predicted)\n",
    "plot_confusion_matrix(cm, classes=classes, title='Confusion matrix')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "AdaBoost is an ensemble algorithm and it works well with imbalanced dataset.\n",
    "\n",
    "**But the model still fails somehow, it can easily misclassified _Churned_ for _Not churned_.**"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "y_score = clf.decision_function(X_test.values)\n",
    "second_model_fpr, second_model_tpr, _ = roc_curve(y_test, y_score)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "             precision    recall  f1-score   support\n",
      "\n",
      "Not churned       0.89      0.97      0.93       566\n",
      "    Churned       0.65      0.34      0.44       101\n",
      "\n",
      "avg / total       0.86      0.87      0.85       667\n",
      "\n"
     ]
    }
   ],
   "source": [
    "print(classification_report(y_test, y_predicted, target_names=classes))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "# Not good enough.\n",
    "\n",
    "## I can't ship this in production."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "source": [
    "## How can we deal with this?\n",
    "\n",
    "2 techniques:\n",
    "* sampling (over*, under*, and hybrid techniques that use clustering)\n",
    "* weighted learning (changing the cost function, like AdaBoost)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "# There are many techniques and papers.\n",
    "# We will use RUSBoost\n",
    "__R__andom__U__nder__S__ampling__Boost__ing"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "-"
    }
   },
   "source": [
    "Boosting in a general ensemble technique (like Adaboost and XGBoost)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {
    "collapsed": true,
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "outputs": [],
   "source": [
    "from utils import clean_data\n",
    "from utils import random_under_sampling\n",
    "from utils import plot_score_curve\n",
    "\n",
    "data = pd.get_dummies(my_data.copy(), columns=[\"State\"])\n",
    "\n",
    "KFOLD = 5\n",
    "NREPEATS = 5\n",
    "\n",
    "cm_s = []\n",
    "scores = np.array([])\n",
    "best_auc = 0\n",
    "worst_auc = 1 \n",
    "best_fpr = best_tpr = None\n",
    "worst_fpr = worst_tpr = None"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {
    "collapsed": true,
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "outputs": [],
   "source": [
    "for train, test in random_under_sampling(data, KFOLD, NREPEATS):\n",
    "    # learning process\n",
    "    clf = AdaBoostClassifier()\n",
    "    X_train, y_train, X_test, y_test = clean_data(train, test)\n",
    "    clf.fit(X_train.values, y_train.values)\n",
    "    y_predicted = clf.predict(X_test)\n",
    "    \n",
    "    y_score = clf.decision_function(X_test.values)\n",
    "    fpr, tpr, _ = roc_curve(y_test, y_score)\n",
    "    value_auc = auc(fpr, tpr)\n",
    "    \n",
    "    if value_auc > best_auc:\n",
    "        best_auc = value_auc\n",
    "        best_fpr = fpr\n",
    "        best_tpr = tpr\n",
    "    \n",
    "    if value_auc < worst_auc:\n",
    "        worst_auc = value_auc\n",
    "        worst_fpr = fpr\n",
    "        worst_tpr = tpr\n",
    "\n",
    "    cm_s.append(confusion_matrix(y_test, y_predicted))\n",
    "    f1_score_ = np.array([f1_score(y_test, y_predicted)])\n",
    "    scores = np.concatenate((scores, f1_score_))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAArEAAALBCAYAAABP+PnsAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nAIBx/g+6Ni9jDm9GNQAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1209c3e10>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "cm = np.sum(i for i in cm_s) / len(cm_s)\n",
    "plot_confusion_matrix(cm, classes=classes, title='(Average) Confusion matrix')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAmsAAAJfCAYAAAAgp5FfAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nREQksP8Hh2GRCP1nVsMAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1208d48d0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "title = \"F1 score during each KFold\"\n",
    "plot_score_curve(title, scores, (0.3, 0.8))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAmwAAAJfCAYAAADCe4omAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x11f8d1b70>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(10,10))\n",
    "\n",
    "plt.plot(best_fpr, best_tpr, color='green',\n",
    "         lw=2, label='Best ROC curve with RUSBoost (area = %0.2f)' % auc(best_fpr, best_tpr))\n",
    "\n",
    "plt.plot(worst_fpr, worst_tpr, color='red',\n",
    "         lw=2, label='Worst ROC curve with RUSBoost (area = %0.2f)' % auc(worst_fpr, worst_tpr))\n",
    "\n",
    "plt.plot(first_model_fpr, first_model_tpr, color='blue',\n",
    "         lw=2, label='ROC curve from first LogisticRegression model (area = %0.2f)' % auc(first_model_fpr, first_model_tpr))\n",
    "\n",
    "plt.plot(second_model_fpr, second_model_tpr, color='yellow',\n",
    "         lw=2, label='ROC curve from second AdaBoost model (area = %0.2f)' % auc(second_model_fpr, second_model_tpr))\n",
    "\n",
    "plt.plot([0, 1], [0, 1], color='navy', lw=2, linestyle='--', label='Random prediction')\n",
    "plt.xlim([0.0, 1.0])\n",
    "plt.ylim([0.0, 1.05])\n",
    "plt.xlabel('False Positive Rate')\n",
    "plt.ylabel('True Positive Rate')\n",
    "plt.title('Comparison of ROC curves')\n",
    "plt.legend(loc=\"lower right\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**As you can see the ROC curve doesn't discriminate properly bad and good models.**\n",
    "\n",
    "For example the first model that was using LogisticRegression has an AUC of 0.82 when it was just returning the negative samples most of the time.\n",
    "\n",
    "The best metrics to use are probably are the confusion matrix, classification report with precision, recall and f1-score.\n",
    "\n",
    "Instead of the ROC curve you can consider the Precision-Recall curve."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "             precision    recall  f1-score   support\n",
      "\n",
      "Not churned       0.94      0.77      0.85       564\n",
      "    Churned       0.37      0.75      0.49       102\n",
      "\n",
      "avg / total       0.86      0.76      0.79       666\n",
      "\n"
     ]
    }
   ],
   "source": [
    "print(classification_report(y_test, y_predicted, target_names=classes))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Conclusion\n",
    "\n",
    "It's not easy to deal with imbalanced datasets.\n",
    "\n",
    "The problem that you will face is not related only to the data but also to the proper metrics to use.\n",
    "\n",
    "Specifically you can see that accuracy, ROC curve and AUC don't provide useful information to select a good model.\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "Thanks!\n",
    "\n",
    "Don't forget: **Gimme a feedback!**\n",
    "\n",
    "**https://goo.gl/JAuNP3**"
   ]
  }
 ],
 "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": "3.6.2"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}