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@sl8r000
Created September 20, 2015 02:35
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{
"cells": [
{
"cell_type": "code",
"execution_count": 151,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Populating the interactive namespace from numpy and matplotlib\n"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"WARNING: pylab import has clobbered these variables: ['median']\n",
"`%matplotlib` prevents importing * from pylab and numpy\n"
]
}
],
"source": [
"import bisect\n",
"import pandas as pd\n",
"import numpy as np\n",
"\n",
"%pylab inline\n",
"import seaborn as sns\n",
"sns.set_style('darkgrid')\n",
"\n",
"from scipy.stats import mstats\n",
"\n",
"from sklearn.cross_validation import train_test_split\n",
"from sklearn.ensemble import RandomForestClassifier\n",
"from sklearn.metrics import precision_recall_curve\n",
"from sklearn.preprocessing import LabelEncoder"
]
},
{
"cell_type": "code",
"execution_count": 152,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/html": [
"<div style=\"max-height:1000px;max-width:1500px;overflow:auto;\">\n",
"<table border=\"1\" class=\"dataframe\">\n",
" <thead>\n",
" <tr style=\"text-align: right;\">\n",
" <th></th>\n",
" <th>state</th>\n",
" <th>account_length</th>\n",
" <th>area_code</th>\n",
" <th>intl_plan</th>\n",
" <th>vmail_plan</th>\n",
" <th>vmail_message</th>\n",
" <th>day_mins</th>\n",
" <th>day_calls</th>\n",
" <th>day_charge</th>\n",
" <th>eve_mins</th>\n",
" <th>eve_calls</th>\n",
" <th>eve_charge</th>\n",
" <th>night_mins</th>\n",
" <th>night_calls</th>\n",
" <th>night_charge</th>\n",
" <th>intl_mins</th>\n",
" <th>intl_calls</th>\n",
" <th>intl_charge</th>\n",
" <th>custserv_calls</th>\n",
" <th>churn</th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>0</th>\n",
" <td>16</td>\n",
" <td>128</td>\n",
" <td>415</td>\n",
" <td>0</td>\n",
" <td>1</td>\n",
" <td>25</td>\n",
" <td>265.1</td>\n",
" <td>110</td>\n",
" <td>45.07</td>\n",
" <td>197.4</td>\n",
" <td>99</td>\n",
" <td>16.78</td>\n",
" <td>244.7</td>\n",
" <td>91</td>\n",
" <td>11.01</td>\n",
" <td>10.0</td>\n",
" <td>3</td>\n",
" <td>2.70</td>\n",
" <td>1</td>\n",
" <td>0</td>\n",
" </tr>\n",
" <tr>\n",
" <th>1</th>\n",
" <td>35</td>\n",
" <td>107</td>\n",
" <td>415</td>\n",
" <td>0</td>\n",
" <td>1</td>\n",
" <td>26</td>\n",
" <td>161.6</td>\n",
" <td>123</td>\n",
" <td>27.47</td>\n",
" <td>195.5</td>\n",
" <td>103</td>\n",
" <td>16.62</td>\n",
" <td>254.4</td>\n",
" <td>103</td>\n",
" <td>11.45</td>\n",
" <td>13.7</td>\n",
" <td>3</td>\n",
" <td>3.70</td>\n",
" <td>1</td>\n",
" <td>0</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2</th>\n",
" <td>31</td>\n",
" <td>137</td>\n",
" <td>415</td>\n",
" <td>0</td>\n",
" <td>0</td>\n",
" <td>0</td>\n",
" <td>243.4</td>\n",
" <td>114</td>\n",
" <td>41.38</td>\n",
" <td>121.2</td>\n",
" <td>110</td>\n",
" <td>10.30</td>\n",
" <td>162.6</td>\n",
" <td>104</td>\n",
" <td>7.32</td>\n",
" <td>12.2</td>\n",
" <td>5</td>\n",
" <td>3.29</td>\n",
" <td>0</td>\n",
" <td>0</td>\n",
" </tr>\n",
" <tr>\n",
" <th>3</th>\n",
" <td>35</td>\n",
" <td>84</td>\n",
" <td>408</td>\n",
" <td>1</td>\n",
" <td>0</td>\n",
" <td>0</td>\n",
" <td>299.4</td>\n",
" <td>71</td>\n",
" <td>50.90</td>\n",
" <td>61.9</td>\n",
" <td>88</td>\n",
" <td>5.26</td>\n",
" <td>196.9</td>\n",
" <td>89</td>\n",
" <td>8.86</td>\n",
" <td>6.6</td>\n",
" <td>7</td>\n",
" <td>1.78</td>\n",
" <td>2</td>\n",
" <td>0</td>\n",
" </tr>\n",
" <tr>\n",
" <th>4</th>\n",
" <td>36</td>\n",
" <td>75</td>\n",
" <td>415</td>\n",
" <td>1</td>\n",
" <td>0</td>\n",
" <td>0</td>\n",
" <td>166.7</td>\n",
" <td>113</td>\n",
" <td>28.34</td>\n",
" <td>148.3</td>\n",
" <td>122</td>\n",
" <td>12.61</td>\n",
" <td>186.9</td>\n",
" <td>121</td>\n",
" <td>8.41</td>\n",
" <td>10.1</td>\n",
" <td>3</td>\n",
" <td>2.73</td>\n",
" <td>3</td>\n",
" <td>0</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"text/plain": [
" state account_length area_code intl_plan vmail_plan vmail_message \\\n",
"0 16 128 415 0 1 25 \n",
"1 35 107 415 0 1 26 \n",
"2 31 137 415 0 0 0 \n",
"3 35 84 408 1 0 0 \n",
"4 36 75 415 1 0 0 \n",
"\n",
" day_mins day_calls day_charge eve_mins eve_calls eve_charge \\\n",
"0 265.1 110 45.07 197.4 99 16.78 \n",
"1 161.6 123 27.47 195.5 103 16.62 \n",
"2 243.4 114 41.38 121.2 110 10.30 \n",
"3 299.4 71 50.90 61.9 88 5.26 \n",
"4 166.7 113 28.34 148.3 122 12.61 \n",
"\n",
" night_mins night_calls night_charge intl_mins intl_calls intl_charge \\\n",
"0 244.7 91 11.01 10.0 3 2.70 \n",
"1 254.4 103 11.45 13.7 3 3.70 \n",
"2 162.6 104 7.32 12.2 5 3.29 \n",
"3 196.9 89 8.86 6.6 7 1.78 \n",
"4 186.9 121 8.41 10.1 3 2.73 \n",
"\n",
" custserv_calls churn \n",
"0 1 0 \n",
"1 1 0 \n",
"2 0 0 \n",
"3 2 0 \n",
"4 3 0 "
]
},
"execution_count": 152,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# Retrieve Data Set\n",
"df = pd.read_csv('http://www.dataminingconsultant.com/data/churn.txt')\n",
"\n",
"# Some Prepreocessing\n",
"df.columns = [c.lower().replace(' ', '_').replace('?', '').replace(\"'\", \"\") for c in df.columns]\n",
"\n",
"state_encoder = LabelEncoder()\n",
"df.state = state_encoder.fit_transform(df.state)\n",
"\n",
"del df['phone']\n",
"\n",
"binary_columns = ['intl_plan', 'vmail_plan', 'churn']\n",
"for col in binary_columns:\n",
" df[col] = df[col].map({\n",
" 'no': 0\n",
" , 'False.': 0\n",
" , 'yes': 1\n",
" , 'True.': 1\n",
" })\n",
"\n",
"df.head()"
]
},
{
"cell_type": "code",
"execution_count": 180,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.text.Text at 0x11ad4eed0>"
]
},
"execution_count": 180,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
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saSNvbspEqZR4bu1UQgPElZhD1bMA+OzQGZysPs2pmizO1GbzVfE3fFX8DRql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\nE0AW7sYYE0D/B64llMmoCnqqAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x119e78150>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"clf = RandomForestClassifier(n_estimators=50, oob_score=True)\n",
"test_size_percent = 0.1\n",
"\n",
"signals = df[[c for c in df.columns if c != 'churn']]\n",
"labels = df['churn']\n",
"\n",
"train_signals, test_signals, train_labels, test_labels = train_test_split(signals, labels, test_size=test_size_percent)\n",
"clf.fit(train_signals, train_labels)\n",
"predictions = clf.predict_proba(test_signals)[:,1]\n",
"\n",
"precision, recall, thresholds = precision_recall_curve(test_labels, predictions)\n",
"thresholds = np.append(thresholds, 1)\n",
"\n",
"queue_rate = []\n",
"for threshold in thresholds:\n",
" queue_rate.append((predictions >= threshold).mean())\n",
" \n",
"plt.plot(thresholds, precision, color=sns.color_palette()[0])\n",
"plt.plot(thresholds, recall, color=sns.color_palette()[1])\n",
"plt.plot(thresholds, queue_rate, color=sns.color_palette()[2])\n",
"\n",
"leg = plt.legend(('precision', 'recall', 'queue_rate'), frameon=True)\n",
"leg.get_frame().set_edgecolor('k')\n",
"plt.xlabel('cutoff')"
]
},
{
"cell_type": "code",
"execution_count": 153,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"clf = RandomForestClassifier(n_estimators=50, oob_score=True)\n",
"\n",
"n_trials = 50\n",
"test_size_percent = 0.1\n",
"\n",
"signals = df[[c for c in df.columns if c != 'churn']]\n",
"labels = df['churn']\n",
"\n",
"plot_data = []\n",
"\n",
"for trial in range(n_trials):\n",
" train_signals, test_signals, train_labels, test_labels = train_test_split(signals, labels, test_size=test_size_percent)\n",
" clf.fit(train_signals, train_labels)\n",
" predictions = clf.predict_proba(test_signals)[:,1]\n",
" \n",
" precision, recall, thresholds = precision_recall_curve(test_labels, predictions)\n",
" thresholds = np.append(thresholds, 1)\n",
" \n",
" queue_rate = []\n",
" for threshold in thresholds:\n",
" queue_rate.append((predictions >= threshold).mean())\n",
" \n",
" plot_data.append({\n",
" 'thresholds': thresholds\n",
" , 'precision': precision\n",
" , 'recall': recall\n",
" , 'queue_rate': queue_rate\n",
" }) "
]
},
{
"cell_type": "code",
"execution_count": 176,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.text.Text at 0x11a477d50>"
]
},
"execution_count": 176,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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DB/it33ojxWKJqalpbr31CB/72IcRQvC61/0Uf/RH/zNvfvMbieOYX/mVN9Fo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WsuYuOgonIa9rk5vo2fBVSNKq7+q/NEFUWhZlQ59I6Yph4btdVHvrdiVHgwOyg16vPu9CMNfdWo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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x119b4a610>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"for p in plot_data:\n",
" plt.plot(p['thresholds'], p['precision'], color=sns.color_palette()[0], alpha=0.5)\n",
" plt.plot(p['thresholds'], p['recall'], color=sns.color_palette()[1], alpha=0.5)\n",
" plt.plot(p['thresholds'], p['queue_rate'], color=sns.color_palette()[2], alpha=0.5)\n",
" \n",
"leg = plt.legend(('precision', 'recall', 'queue_rate'), frameon=True)\n",
"leg.get_frame().set_edgecolor('k')\n",
"plt.xlabel('cutoff')"
]
},
{
"cell_type": "code",
"execution_count": 156,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"uniform_thresholds = np.linspace(0, 1, 101)\n",
"\n",
"uniform_precision_plots = []\n",
"uniform_recall_plots= []\n",
"uniform_queue_rate_plots= []\n",
"\n",
"for p in plot_data:\n",
" uniform_precision = []\n",
" uniform_recall = []\n",
" uniform_queue_rate = []\n",
" for ut in uniform_thresholds:\n",
" index = bisect.bisect_left(p['thresholds'], ut)\n",
" uniform_precision.append(p['precision'][index])\n",
" uniform_recall.append(p['recall'][index])\n",
" uniform_queue_rate.append(p['queue_rate'][index])\n",
" \n",
" uniform_precision_plots.append(uniform_precision)\n",
" uniform_recall_plots.append(uniform_recall)\n",
" uniform_queue_rate_plots.append(uniform_queue_rate)"
]
},
{
"cell_type": "code",
"execution_count": 174,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.text.Text at 0x11a0ad890>"
]
},
"execution_count": 174,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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qQHvtWnWit5nD5KlTZ7Ydx1oTmk9/+o82dZxcE/pWzr0XdhJ3J9XQ6xpKIBAQ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\nudoAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x11a3611d0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"quantiles = [0.1, 0.5, 0.9]\n",
"lower_precision, median_precision, upper_precision = mstats.mquantiles(uniform_precision_plots, quantiles, axis=0)\n",
"lower_recall, median_recall, upper_recall = mstats.mquantiles(uniform_recall_plots, quantiles, axis=0)\n",
"lower_queue_rate, median_queue_rate, upper_queue_rate = mstats.mquantiles(uniform_queue_rate_plots, quantiles, axis=0)\n",
"\n",
"plt.plot(uniform_thresholds, median_precision)\n",
"plt.plot(uniform_thresholds, median_recall)\n",
"plt.plot(uniform_thresholds, median_queue_rate)\n",
"\n",
"plt.fill_between(uniform_thresholds, upper_precision, lower_precision, alpha=0.5, linewidth=0, color=sns.color_palette()[0])\n",
"plt.fill_between(uniform_thresholds, upper_recall, lower_recall, alpha=0.5, linewidth=0, color=sns.color_palette()[1])\n",
"plt.fill_between(uniform_thresholds, upper_queue_rate, lower_queue_rate, alpha=0.5, linewidth=0, color=sns.color_palette()[2])\n",
"\n",
"leg = plt.legend(('precision', 'recall', 'queue_rate'), frameon=True)\n",
"leg.get_frame().set_edgecolor('k')\n",
"plt.xlabel('cutoff')"
]
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 2",
"language": "python",
"name": "python2"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 2
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython2",
"version": "2.7.9"
}
},
"nbformat": 4,
"nbformat_minor": 0
}
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