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@JustGlowing
Last active April 13, 2016 08:43
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Free Tech Lab 13 April 2016
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{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"import matplotlib as mpl\n",
"mpl.rcParams['axes.color_cycle'] = ['#7FB5C7', '#E63E65', '#5B5BC9', '#55D957']\n",
"\n",
"def adjust_tree_figure(fname):\n",
" import re\n",
" with open(fname, 'r') as dotfile:\n",
" newdotstr = re.sub(r'mse = \\d+.\\d+..', '', dotfile.read())\n",
" newdotstr = re.sub(r'value', 'bikes', newdotstr)\n",
" newdotstr = re.sub(r'shape=\"box\"', \n",
" 'shape=\"box\", style=\"rounded\", fontname=\"verdana\", fontsize=8', \n",
" newdotstr)\n",
" with open(fname, 'wb') as newdotfile: # use just 'w' on Python 3\n",
" newdotfile.write(newdotstr)\n",
"\n",
"%matplotlib inline"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"*** Loading and visualising the data ***"
]
},
{
"cell_type": "code",
"execution_count": 2,
"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>date</th>\n",
" <th>temperature</th>\n",
" <th>humidity</th>\n",
" <th>windspeed</th>\n",
" <th>count</th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>0</th>\n",
" <td> 2011-01-03</td>\n",
" <td> 2.716070</td>\n",
" <td> 45.715346</td>\n",
" <td> 21.414957</td>\n",
" <td> 120</td>\n",
" </tr>\n",
" <tr>\n",
" <th>1</th>\n",
" <td> 2011-01-04</td>\n",
" <td> 2.896673</td>\n",
" <td> 54.267219</td>\n",
" <td> 15.136882</td>\n",
" <td> 108</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2</th>\n",
" <td> 2011-01-05</td>\n",
" <td> 4.235654</td>\n",
" <td> 45.697702</td>\n",
" <td> 17.034578</td>\n",
" <td> 82</td>\n",
" </tr>\n",
" <tr>\n",
" <th>3</th>\n",
" <td> 2011-01-06</td>\n",
" <td> 3.112643</td>\n",
" <td> 50.237349</td>\n",
" <td> 10.091568</td>\n",
" <td> 88</td>\n",
" </tr>\n",
" <tr>\n",
" <th>4</th>\n",
" <td> 2011-01-07</td>\n",
" <td> 2.723918</td>\n",
" <td> 49.144928</td>\n",
" <td> 15.738204</td>\n",
" <td> 148</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"text/plain": [
" date temperature humidity windspeed count\n",
"0 2011-01-03 2.716070 45.715346 21.414957 120\n",
"1 2011-01-04 2.896673 54.267219 15.136882 108\n",
"2 2011-01-05 4.235654 45.697702 17.034578 82\n",
"3 2011-01-06 3.112643 50.237349 10.091568 88\n",
"4 2011-01-07 2.723918 49.144928 15.738204 148"
]
},
"execution_count": 2,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"import pandas as pd\n",
"bikes = pd.read_csv('bikes.csv')\n",
"bikes.head()"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
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LEEQv421AoNkFaHzFW2EQGSsHSgpd1vAlA0Y6/j+OfoVjZx0zRmmmPHrcRHld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zAAAE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\nwzAM00Zgoc8wDMMwbQQW+gzDMAzTRvj/wtaXdqhAUlcAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1106c7a10>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"from matplotlib import pyplot as plt\n",
"\n",
"plt.figure(figsize=(8,6))\n",
"plt.plot(bikes['temperature'], bikes['count'], 'o')\n",
"plt.xlabel('temperature')\n",
"plt.ylabel('bikes')\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"*** Training the first regressor ***"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"DecisionTreeRegressor(criterion='mse', max_depth=2, max_features=None,\n",
" max_leaf_nodes=None, min_samples_leaf=1, min_samples_split=2,\n",
" min_weight_fraction_leaf=0.0, random_state=None,\n",
" splitter='best')"
]
},
"execution_count": 4,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"from sklearn.tree import DecisionTreeRegressor\n",
"import numpy as np\n",
"\n",
"regressor = DecisionTreeRegressor(max_depth=2)\n",
"regressor.fit(np.array([bikes['temperature']]).T, bikes['count'])"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"array([ 189.23183761])"
]
},
"execution_count": 5,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"regressor.predict(5.)"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"array([ 769.08756039, 189.23183761])"
]
},
"execution_count": 6,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"regressor.predict(np.array([[20.,5.]]).T)"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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peOihh9CzZ0/cd999yMrKAgAMHjwY7733HubMmYPw8HAEBARIpg3EyXh9+/bFoUOH8Pe/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\nV7XPqjZ4gy4FrdWkY0f6bo5YFAIqLC7hrt8Z09i6MlP7El+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/RdbqlYyZ+aRpfzwZuK2E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VdolgJVYIRGxxKX+ADzl6TwXPI/6Na1i5ZZz1EIWQnqay4faMiL7wnuIs7d4a2lpbFm7OYKdPPU\nbXAkK8fSDRIXnyD97xKJpNFIod8CmGmSWQf2OQ309zw5j/Q1Kxk19TE+WPK80zkAva+4mrIzhVzs\n3IUxv37SaX29WkXPcH17UpsxM58mfc1KztUr9Ox7RcPyOdCi308XFnDURaCiN/jCl9wYS4u3Zuzm\nCnTz1G1gZWlojHVFIpFI9Eih3wKYaZJWwXfq0jKrKPT6+jq6RkRpyXP0gV+uzPz69kdOfVTTIlUh\nBDRL1jZ/8CU3V6Cbp24DX1pXJBKJRI8U+i2AmSZZmnfc9FhVKzdbGqgKcH11N/3kQR/EVnzyOJF9\n+jmlhVXb15fZrUNmbWuOyYmnbgO5pE4ikTQXUui3AGaa5JQJiex1WKeu18rj4hM4/eV/2La4Ie+8\nKsDVJDfgHLmvCuwtryxEqVcMAl/fvr7MbunZs4RFRJj2vb1nbWsKngpzuaROIpE0F0Kx0D5aG0KI\nu4Cl2MbANxRFWeSwX/GXe7HClrVuC0UlpRw/mWeI3tcLB8dgsM1Ln6dTaFcnn77KB8te4rrbxgCQ\nlbGPs6fyCOnalWt+fjtx8QmGyP5dq1LpVl9Dz+ho09zxx7evd2li9kVSm7aM+o5VYf7gpPHy+Ugk\nkkYjhEBRFHPfodnx/iAohRCBwHfA7UAe8CXwoKIoR3TH+L3QB9izZw8jR450KRz0k4NjP/7IiIk2\n4ZyVsY+AgEDOFZ+mrqKc668fwpEjR+lxxTWcLymm7HQh3XtG0zU8kvMlxVqFvbMFp+hz5TXU19cx\nMGE49Se+55rL4ti48z8k/naO1rdtry7ivttvZc5T5nXY1ej08Cuvo/91tuS3GRveJmnqZL8UbOq7\n8DccJ17XXBbHH39vvvTSX/DXd+FIW7iPtnAP0Hbuw1uh7y/m/eHAMUVRcgCEEP8HTACOuDrJH1G/\niK58yvp9M5Jma9YAvele1chVQTxq6mPsefcN02h+x+3HT3zPkawcrrn1DkNSm2tuvZOjP35v2Xc1\nDmDPu29oQt/XSW0uJf44KJgtC/zfeUkMuf56v3wHKv74LsxoC/fRFu4B2s59eIu/CP1YQF/q7SQw\nooX60qrwtJTuurT1VBTmmbah9+frc8AP0AXwqWSfsBb6snpby2O2LLDXNdezLm2LXwt9iUTiG/xF\n6Pu/3b6Z8CToS1/pznGCsHf1CrrW1ZK9fb3HleCskNXbWh458ZJIJK7wF5/+jcDfFEW5y/75WaBe\nH8wnhGj9NyKRSCQSiY9pi4F8QdgC+UYDp4B9OATySSQSiUQicY1fmPcVRbkohEgCPsZmLf6nFPgS\niUQikXiHX2j6EolEIpFImk5AS3fAlwgh/iaEOCmEyLD/u6ul++QpQoi7hBBHhRA/CCGeaen+NBYh\nRI4Q4mv789/n/ozWgRDiTSFEoRDiG922CCHEDiHE90KIT4QQYS3ZR3dY3IPf/SaEEH2FELuFEN8K\nITKFEL+zb/eb9+HiHvzqfQghOgkhvhBCHBRCHBZCvGjf7k/vwuoe/OpdqAghAu39/cD+2at30aY0\nfSHEX4HziqIsbum+eIMnyYf8BSFENjBMUZSzLd0XbxBC3AKUA6sVRbnWvi0ZKFIUJdk+EQtXFGVu\nS/bTFRb34He/CSFEDBCjKMpBIUQXYD8wEZiBn7wPF/fwS/zvfYQoilJpj636L/BHYDx+8i7A8h5G\n42fvAkAI8XtgGNBVUZTx3o5TbUrTt+NxFGMrQks+pChKLaAmH/JX/O4dKIryKVDisHk8sMr+9yps\ng3arxeIewM/eh6IoBYqiHLT/XY4tCVcsfvQ+XNwD+N/7qLT/GYwtpqoEP3oXYHkP4GfvQgjRB0gE\n3qCh7169i7Yo9GcJIQ4JIf7Zmk1ODpglH4q1OLa1owA7hRBfCSF+3dKdaSLRiqIU2v8uBKJbsjNN\nwB9/EwAIIfoDCcAX+On70N3D5/ZNfvU+hBABQoiD2J75bkVRvsXP3oXFPYCfvQtgCfA0UK/b5tW7\n8Duhb/ddfGPybzyQCgwArgfygX+0aGc9p+34WOBniqIkAHcDv7WbnP0ee2EHf3xP/vqbwG4W/xfw\npKIo5/X7/OV92O9hI7Z7KMcP34eiKPWKolwP9AF+LoS4zWF/q38XJvcwEj97F0KIccBpRVEysLBQ\nePIu/GLJnh5FUe7w5DghxBvAB83cHV+RB/TVfe6LTdv3OxRFybf/f0YIkYbNdfFpy/aq0RQKIWIU\nRSkQQvQCTrd0h7xFURStz/70mxBCdMAm8NcoivK+fbNfvQ/dPbyj3oO/vg8ARVHKhBAfYvMn+9W7\nUNHdw08URdmjbveTd3ETMF4IkQh0AroJIdbg5bvwO03fFfYbVpkEfGN1bCvjK+ByIUR/IUQwMBnY\n0sJ98hohRIgQoqv971DgTvznHZixBZhu/3s68L6LY1sl/vibEEII4J/AYUVRlup2+c37sLoHf3sf\nQogo1ewthOgM3AFk4F/vwvQe7MGWKq3+XSiKMk9RlL6KogwAHgDSFUWZipfvoq1F76/GZqpRgGzg\nMZ2vo1UjhLgbWEpD8qEXW7hLXiOEGACk2T8GAe/6y30IIdYBtwJR2Pxi84HNwHtAPyAH+KWiKKUt\n1Ud3mNzDX4GR+NlvQghxM/Af4GsaTJXPYsvE6Rfvw+Ie5gEP4kfvQwhxLbbgsAD7vzWKoqQIISLw\nn3dhdQ/+LC9uBf5gj9736l20KaEvkUgkEonEmjZl3pdIJBKJRGKNFPoSiUQikbQTpNCXSCQSiaSd\nIIW+RCKRSCTtBCn0JRKJRCJpJ0ihL5FIJBJJO0EKfYmkjSCE6C6EmNnS/XCHEGK2PUmKRCK5xEih\nL5G0HcKBJ1q6E8KOi0OeBEK8bDOwab2SSCQghb5E0pZ4CRgohMgQQiQLIf4ohNhnryL2N7BVfBNC\nHBVCvCWE+E4I8a4Q4k4hxF4hxPdCiBvsx/1NCLFGCPGZffuj6kWEEE9btPudEGIVtnSmfYUQK4QQ\nXwohMnXH/Q7oDewWQuyybyvXtX2fEOIt+99vCyFeE0J8DiwSQgwUQmwXtgqO/xFCXNnsT1QiaWP4\nXcEdiURiyTPANYqiJAgh7gR+oSjKcCFEALDZXvHwBDAQ+AVwGPgSmKwoys/slSrnYctDDhAP3Ah0\nwZar/EPgWmCQRbuDgKmKouwDEEL8SVGUEruWvlMIEa8oyitCiKeAkYqinLVfR58W1DFFaG/gp4qi\nKPZJwmOKohwTQowAVgCjffPoJJL2gRT6EknbQW9SvxO4UwiRYf8cik0onwCy1XriQohvgZ32YzKB\n/va/FWCzoijVQLUQYje2iom3uGg3VxX4diYLIX6NbZzpBVxtv4anKMAGu8DvAvwU2KDzHAR70ZZE\nIkEKfYmkLfOioiiv6zcIIfoD1bpN9UCN7m9XY4KqhVu1W6H7PAD4A7YSpmV2k30nN+0COAb4Vdr/\nDwBKFUVJcNE/iUTiBunTl0jaDueBrva/PwH+x17iGCFErBCihxdtCWCCEKKjECISW7W+fcDHHrbb\nDdsk4JwQIhq426Gf3XSfC4UQV9ndBZNwNvGjKMo5IFsIcZ/9ukIIcZ0X9yORSJCavkTSZlAUpdge\nkPcNsB1YC/w/uzn8PPAwNoHqKFTNfOoKtrKwu7GV6n1OUZQCoEAIMdhdu4qiHLK7AI5iM/3/V3eN\n14GPhBB5iqKMBuYCW4EzwFfYXAZmfXsISBVC/BnoAKyz91EikXiILK0rkUicEEL8FShXFOUfLd0X\niUTiO6R5XyKRWCE1AomkjSE1fYlEIpFI2glS05dIJBKJpJ0ghb5EIpFIJO0EKfQlEolEImknSKEv\nkUgkEkk7QQp9iUQikUjaCVLoSyQSiUTSTvj/AcumP35/klK3AAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x11319f310>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"xx = np.array([np.linspace(-5, 40, 100)]).T\n",
"\n",
"plt.figure(figsize=(8,6))\n",
"plt.plot(bikes['temperature'], bikes['count'], 'o', label='observation')\n",
"plt.plot(xx, regressor.predict(xx), linewidth=4, alpha=.7, label='prediction')\n",
"plt.xlabel('temperature')\n",
"plt.ylabel('bikes')\n",
"plt.legend()\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"from sklearn.tree import export_graphviz\n",
"export_graphviz(regressor, out_file='tree.dot', feature_names=['temperature'])\n",
"adjust_tree_figure('tree.dot')"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"!dot -Tpng tree.dot > tree.png # to convert the tree in a png image"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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aT2An0T/33HOPj6yHBlgmKQnsJFVJCFQ5AhJ+q5wB1HwhUC4IvPzyy7bTTjv5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\n",
"text/plain": [
"<IPython.core.display.Image object>"
]
},
"execution_count": 10,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"from IPython.display import Image\n",
"Image(filename='tree.png')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"*** Multiple regression ***"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"DecisionTreeRegressor(criterion='mse', max_depth=2, max_features=None,\n",
" max_leaf_nodes=None, min_samples_leaf=1, min_samples_split=2,\n",
" min_weight_fraction_leaf=0.0, random_state=None,\n",
" splitter='best')"
]
},
"execution_count": 11,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"regressor = DecisionTreeRegressor(max_depth=2)\n",
"regressor.fit(bikes[['temperature', 'humidity']], bikes['count'])"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"export_graphviz(regressor, out_file='tree_multi.dot', feature_names=['temperature','humidity'])\n",
"adjust_tree_figure('tree_multi.dot')"
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"!dot -Tpng tree_multi.dot > tree_multi.png # to convert the tree in a png image"
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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tt3f+qgsttFCV/fqRXASOOOII5/dNDOnLL7+8WkWxILdq1Urxjashow1CQAgU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\nAAAAAElFTkSuQmCC\n",
"text/plain": [
"<IPython.core.display.Image object>"
]
},
"execution_count": 14,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"from IPython.display import Image\n",
"Image(filename='tree_multi.png') "
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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ThjNp0vBmv86GXbkQK9GmGGi7DeavOujxZBwf4stP03uxI9fGrf06nv2EBlyX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\n6tFZjgAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1118f7b50>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"nx = 30\n",
"ny = 30\n",
"# creating a grid of points\n",
"x_temperature = np.linspace(-5, 40, nx)\n",
"y_humidity = np.linspace(20, 80, ny)\n",
"xx, yy = np.meshgrid(x_temperature, y_humidity)\n",
"# evaluating the regresson on all the points\n",
"z_bikes = regressor.predict(np.array([xx.flatten(), yy.flatten()]).T)\n",
"zz = np.reshape(z_bikes, (nx, ny))\n",
"\n",
"\n",
"fig = plt.figure(figsize=(8, 8))\n",
"# plotting the predictions\n",
"plt.pcolormesh(x_temperature, y_humidity, zz, cmap=plt.cm.YlOrRd)\n",
"plt.colorbar(label='bikes predicted') # add a colorbar on the right\n",
"# plotting also the observations\n",
"plt.scatter(bikes['temperature'], bikes['humidity'], s=bikes['count']/25.0, c='g')\n",
"# setting the limit for each axis\n",
"plt.xlim(np.min(x_temperature), np.max(x_temperature))\n",
"plt.ylim(np.min(y_humidity), np.max(y_humidity))\n",
"plt.xlabel('temperature')\n",
"plt.ylabel('humidity')\n",
"plt.show()\n",
"\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"181.28165652686295"
]
},
"execution_count": 16,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"from sklearn.metrics import mean_absolute_error\n",
"mean_absolute_error(bikes['count'], regressor.predict(bikes[['temperature','humidity']]))"
]
},
{
"cell_type": "code",
"execution_count": 17,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"from sklearn.cross_validation import cross_val_score\n",
"scores = -cross_val_score(regressor, bikes[['temperature', 'humidity']], \n",
" bikes['count'], scoring='mean_absolute_error', cv=10)"
]
},
{
"cell_type": "code",
"execution_count": 18,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"array([ 170.81419231, 184.34538921, 180.70727277, 293.31959372,\n",
" 207.95262785, 129.8914135 , 338.78334798, 264.29533382,\n",
" 233.57114587, 242.93851741])"
]
},
"execution_count": 18,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"scores"
]
},
{
"cell_type": "code",
"execution_count": 19,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"224.66188344455881"
]
},
"execution_count": 19,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"scores.mean()"
]
},
{
"cell_type": "code",
"execution_count": 20,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"DecisionTreeRegressor(criterion='mse', max_depth=100, max_features=None,\n",
" max_leaf_nodes=None, min_samples_leaf=1, min_samples_split=2,\n",
" min_weight_fraction_leaf=0.0, random_state=None,\n",
" splitter='best')"
]
},
"execution_count": 20,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"regressor2 = DecisionTreeRegressor(max_depth=100)\n",
"regressor2.fit(bikes[['temperature', 'humidity']], bikes['count'])"
]
},
{
"cell_type": "code",
"execution_count": 21,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"0.0"
]
},
"execution_count": 21,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"mean_absolute_error(bikes['count'], regressor2.predict(bikes[['temperature','humidity']]))"
]
},
{
"cell_type": "code",
"execution_count": 22,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"240.30937182902079"
]
},
"execution_count": 22,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"scores = -cross_val_score(regressor2, bikes[['temperature', 'humidity']], \n",
" bikes['count'], scoring='mean_absolute_error', cv=10)\n",
"scores.mean()"
]
}
],
"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": "2.7.8"
}
},
"nbformat": 4,
"nbformat_minor": 0
}
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