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hands-on/07_ensemble_learning_and_random_forests.ipynb
2016-09-27 23:31:21 +02:00

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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"**Chapter 7 Ensemble Learning and Random Forests**"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"_This notebook contains all the sample code and solutions to the exercices in chapter 7._"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Setup"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"First, let's make sure this notebook works well in both python 2 and 3, import a few common modules, ensure MatplotLib plots figures inline and prepare a function to save the figures:"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"# To support both python 2 and python 3\n",
"from __future__ import division, print_function, unicode_literals\n",
"\n",
"# Common imports\n",
"import numpy as np\n",
"import numpy.random as rnd\n",
"import os\n",
"\n",
"# to make this notebook's output stable across runs\n",
"rnd.seed(42)\n",
"\n",
"# To plot pretty figures\n",
"%matplotlib inline\n",
"import matplotlib\n",
"import matplotlib.pyplot as plt\n",
"plt.rcParams['axes.labelsize'] = 14\n",
"plt.rcParams['xtick.labelsize'] = 12\n",
"plt.rcParams['ytick.labelsize'] = 12\n",
"\n",
"# Where to save the figures\n",
"PROJECT_ROOT_DIR = \".\"\n",
"CHAPTER_ID = \"ensembles\"\n",
"\n",
"def image_path(fig_id):\n",
" return os.path.join(PROJECT_ROOT_DIR, \"images\", CHAPTER_ID, fig_id)\n",
"\n",
"def save_fig(fig_id, tight_layout=True):\n",
" print(\"Saving figure\", fig_id)\n",
" if tight_layout:\n",
" plt.tight_layout()\n",
" plt.savefig(image_path(fig_id) + \".png\", format='png', dpi=300)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Voting classifiers"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"heads_proba = 0.51\n",
"coin_tosses = (rnd.rand(10000, 10) < heads_proba).astype(np.int32)\n",
"cumulative_heads_ratio = np.cumsum(coin_tosses, axis=0) / np.arange(1, 10001).reshape(-1, 1)"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Saving figure law_of_large_numbers_plot\n"
]
},
{
"data": {
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TjTEdRGR+AdcKcB/gePwm/Cp0gDHGAG8Dh4Eyx1LJ/FoqzgJaAGRnu/omObs/OX/dLyio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\nSxH69SsDlKYUcBD7h3E5gV/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8++23PPXUUwB88MEH1KlThy5dulC3bgbbtjnnGfC95+k8\n/vjvvP76HezYsYPajlXWXX+38+vKkZwcOp1QGBkZ/gnE/OrWDXQpqlkzdED01VfDwil7GMctzORi\n6j18DXcN83YJ+/lnTNsLve8mUL9q7CaBTK5jMjXZST+CZjWIpHRpO4CidOnQ0dT3348Z8Z4rqTC9\nwTweOw5+5kzo1Qs+/jhy3oYN7SxLn30Gt9wCffoExmEEW7fOvtasseuU5OeKK+zg6VmzArOFvfUW\n1M3ZwLVPRO4qdOt1pbl5VQ6vn3cmcybaGd5qP3sSS+5ZTJU6TWympUuj+i40fBCqHSjLzyuHIVc9\nSLtSpzB38E47VVn79vbL4JuFbvFiOP/8iGVN51I68yMAJszf5UsusTNo3X03JHCUeo3i+XVxKftd\n9E3V5Z2BLayEBDv91htv2AVAAX76yQ7MKVUKfv0VXnnF9WW465u7+GjpRxEKPDaVEiu5BqtHa+z1\nYzmv+nk0reKe7OKbtd9w3cTrGHbZMB7+v4fDXut5wcPuw7s5JfEUSseGdnV9f/H7lDKl6HVuL75Y\n/QXdzuxGbEz4f58nr53sGisTrZc6vUR6VjovXfwSMeZEDt9U6p8pOTnZN119ien+VKig4s9gjJkI\nXAe8RWBF7X8BnURknjfPbKC9iMQ4rsvALhmwAjuwux129qffgLYikunNdz3wJbAeGBymCtNFJHh6\nHt89goKKi9l0+kxGjIAydRbS8pOWACQNTOIsnuVklhNPuj+o2PcqVHEEFTcNGMAXHTrAnI4cehnW\nVyxFi72B0dpTz6rLFSu20GdKH/53jfepJMqgYnWP1eybsC8k/S7uYjObXQ+eIsI999zDY489RtOm\nTUOu8Tl06BDPPvss77zzDgBr1qyhSRP7UFKzZk12ep8sfSXn99w2dartpx2/H7K7JrkCitRzoOKy\ncN/PNwkM5ob4+DfIzn40TL5Z2B5zMO+0+Rz5/QiXcmmYfG7zaswje5edgvKsb88ioW4Ci89eHJLv\n7Olnk5eRx6rrQ4M2gNLTG5LV2Q4Q30tpbqa1t1azQz6Ts388m0qXVEIkdLxF48aNufHGJ3jppbsi\n1jkrK5cpUybTtWtXV7oxhtzcXGIiDN4PkZfnXmjFYfJkOzPRwoU2uMjnK+Ii+XwDypNGR5L4huui\nK+w4PdJhKS9OOYeyOQft4IsLLrADJeJDF20E+5AfGwsNGtjgoGfP8OW+8IKd9WnDBjtj1OzZvrFB\nofr2tYvYFZXMTBtHuSKkI0dgxgzGVdjP4E9eoeOqjnT7pZv/9OmMpA7jQgsL0us6GDM5cDyem+nB\nhKjrtm3hXuq0rApA9oOPET/nRwiastppQNX3Wd/xXiZMgKrsYQ/V+YjePM1/2UdVf74lnEcLIvw/\ndODAyNOlNWpklza/NMy/A2lpUL683X/vPXjgAZ64FF53rCd6VcOr+G79d/m8Y6vySZX5uffPNKoc\nOq320ZyjHMo6RNWyVXl6xtO8Mu8VAHY9tovSpUpT+bXKrvzlS5fnUNahkHKKWq9zelExoSITV03k\nqQufYvK6yczeOrvA6+bfOZ/6lepz5bgr6XR6J//7CfZ8++fpfEZn2o22sx68fdnbPNjyQR27olQh\n/e2CCmNMAnA+dorXsCN/ReSTQpYdj33Y74ldQ2458JyIzHDkSQLaiUisI+0DoA12sHgCdhXuL4CX\nRSTDkW8AkF/rREcRCbP0XFBQcRiumNGJLfVm8d57oUHFmbxABZYSzyF/UJHyirsl4vH77+eNbt1g\nTkdkYOj9ck5KIC7jKGaQIXOwd3aoOXOiGu244aEN7Bq+KyR9D3vYed1O+n3dL8xVBRs5ciR9+vTJ\nN4/vm1UR8E1vf//90K0bzJsHq1bZX29rToL6I2AjD1CfdwN1fwDOmT6NoxuCx9aX4l+cx2J8D/qV\nARv/fck8XqEx3ZnK49yNcxKxe7pvZOTEcyhfJpZDGeH/Jz2TmcQ4JkUr06wMGSsywub1DfzOPZRL\nqbKlWN5lOQdnHKR9TntiYm0ZP531K3mrjtKRDv7rrmcnD7GRHO/Ddpz3k/KV17dvX0aMGBH2ngHV\nvO97DeChYcNLue66cxk3bhypqU05fNi9BsmKRYuY85/3ONj4LZ5/zT441WErWwmzdHNeHouTY/w/\nLufkBJa78J4mJsbOUvvVV+5Lu3e3i715PPaauxnJSPL/nvjs/uoXqt/QOvTEwIH2l+hPP4XbbrM/\n0S9dapsMzjrL5jn99MDKcz45ObYZ5a234F3v98oYG0DksyjD72Xqs/CxkfR+uz0H02ww1ouP+YRe\nUb0Pp0sugRkzAscTJ9rv/xtv2ADkwgvtWwp2MNVDjIlhxQr490N5/JZcinPOsRN6+VzNt0yOuRGT\nEI9JTIT9+8mudDrzDxT8C/spV1Wi2XfnhD2XQV0WMdp//G7nYXx+chxrug+kademzOYiLiLsP40R\njXae6LcAACAASURBVOIu7mEUgwfDTTfZ71DTptiWg7fesh9M9+7HVGawXesOU6Ohd+GQJUvgyy/x\ndOtGTPPm7C5ThuoZ4f8eF+Rw1Yo8MeIGRlw/CoCM7AxKx5YmNiaW7du3U7p0aapWreq6ZsiQIbRs\n2ZKLL764UPf8efvP/ofvcB48/0HeWfQOgzsO5u7z7mZNyho6nm6j2IbDG7LhwIZC3TeSYZcNo0+L\nPsSXimfutrlcWOtCYmNiESSkFSIjO4Ole5ZGNTA+ITaBI/2PaGChVCGUxKCi0P2msKuUHcB2Bgn3\n8gB5xd2/60S8cI6puBK5vHRHadrUjglYvHWxv49pEkmyN661HI0rb7v6etODOxBPvOgi26d/1szw\nHYxBROz1Q1t5j++8U6KRXx//45GRkREyDsD5auqo+2BH+qxZgQHZvle497v4PSRpFjJ6dJOQ0xnr\nMySJJJkZM81xz8tk6tSTwowbCS56vWzatMlxXTv/uWEdhuX7efle2/67TTLWZhT8IYlITl6e8PrS\nAru4J5Hk6iP+xRdfhP1cc3Nz5d577xXY7bh+m0BZiY1NlBtuuEFgTz5/Nud5r7lU4Hu5lq9DKrPn\nkSEh9Wvd2m7PPdf9/ravPyp5B1Jl69Av5NWyA+Xw3sCghNzU9EAB06aJp0YNEZAu/CDezlmu168L\nFggg94H0b9ZMPu3dW/KOZZDD3LkiIDl33C25KQfc5wr6A4jyBR55990jMmLECOnde5RceumhiNnP\nPdcOPHd8BCEu+eQS++/C41XD9rcvP6S8MBCp9EolyfMERuV7WrUJe9MkZkb83h6cfdB1702PrZAN\n3C9reEo2cp9s5VZZzPthr119+2oREdnw+AZ5jaXSgkWSQJZM4wcRkLHcKiByGjvFjovxSB7G9bmF\n+4wOOP+YPvyw4D8Dj0c83buLgCwb/I00YJ237A/83/Fy5coJILGxsa7vfgVHOXd40zp0uFMMebKf\nCiH3eiLM/S8E6du3b8jfq++++0569OgRkp6SkiJjx44VQL7//vvQcSAFmLp+qpiBRjbu3yhT1k2R\nhTsXSlZuVoHXub4rHo/k5uXK0PlDZdehXWEHsy/bs0wqv1pZGrzdQJ6c/qTEDIqRZu81k192/BLV\n/fKzI22HjFoyyv+dfnnuyzJ4zuCQ7/rCnQuPqdz0rHR55edX5GjOUcnNyz2uOir1V1QSx1QU7iK4\nwRs0LAMe9e5/BTwFfO89/hzoVdxv8IR8aEFBxWVlL5Qzz7QPyIu2L3IFFXs6IQeaex9uB4YPKsZ1\n6mSDitd/i/w/U7HX133YnVaQExVUiIj89ttvYR9cJ0wIrX+5cony3nuOYOK5TpKUhKzrXi30va5f\nL/v2fenP6zxVocJe+S35Uvseqo3z39NX9pdDvpCK/SrKki5L5JdZvwicGVL8woW58uKLL0pw0DGJ\neZJEkqR8kyKHkg9F/Nxyjxb8P7CLvWNcx4wRqVUr/AOV85VEkuz7el/Ysho3vkDAzrwlIvLtt/mV\n9UjQsTPwCn1NmWLvASItWeC/EETKkCN3sUla8YdUJEseYp0MG+at1O7dESvhOflk+b3RQyHf3yNH\n3APVj34yyX/+JH+dqgnMFejnr6Nv/K1v4Hd+nA/xhw6J5OTkyNq1a+WKK26UVon9/CdHPbVOQOQk\nDstMOoqApFJe9nBqyPuZEnuV67hU0Ge4c+dOWb1aJDvbziw1caKdLangunrCBhK+V8cbO0oSSTK8\n1nBpclcTSSJJ5vJdxM99IR/5v6Ojq4yWsc3GyldPfRXx/nk5eZJEksyrMU88Ho88e/ez0ubmNtK6\nR2tZOXKlpK9Il039N+X7b8jKbivlfRa5qvICKwVEEjgi3/O6P+/48eH/Hqxf55GcnBzJy821Ca1b\n+6MNT55HDq8ODSx//fVXqV27dr7f7cK8KoOMA6nmPT4tTIXfDnNdIkhjkFiQZt5tfvc599xzZd26\ndbJy5cqw51u1aiVpaWn+95uTFjpwe+fOnRIbGysbNmyQ3r17+6+94YYbZMuWLbJgwQLJzs72p6el\npcmGDRukZs2aAki3bt385/bu3Ssej52lrn379pKQkCC5uYF/53KCZxyIwldf2Y/soYdEZs+2fzed\nxUT6/rca1UrSs9JlYNJAif1PrPSf0d8/a5bvujfmvxH22gNH7PcmPStdsnKzZN/hfcJApPWo1nIo\n85C8PPdlWbprpazdut913XUTrpMBSQPkjGFnuNL37j8iZ5zh/gr07BnY377d1ikjQ+TCC0UefFDk\nrbdEJk8OzMx35IhI2bI2/113iaxfb2fwU+p4/Z2CirnAHuwgabxBxAuO87cAOUCH4n6DJ+RDCwoq\nulQ8X846KzSoGFV1lPx+CXLwbKQH30YMKl6/6SYbVNy9KfT/uCBPXIJsS90m7Ue3l/JP27Scs86U\n/Uf25/N1s5a0XmJnJrp7rRzdflT+mPpHkQUVmZmZ/v8pde3aVc4AqQMyfWroewhunUhdkOqactf1\nysgQj8fjz/vOO63kgQceEhD5/PPqgXKufFz++1/kzTeRdevul6T/J++8w6Oq1r59T3pPCCUhoQdC\ni/QivYgcEAFFEVEELKh0pSgICigqoCJIE+wgRQFBRJAaeu+dkISahIT0PpnyfH+syZTMTAgcz/t6\n3u93Xfua2XuvvcpeZa+nRyN7jnW2vGcRSU9PN9Wxn00RIiK7+l21K3qw501z+w6GHbRsngZckOzT\n2ZJ9Ivu+76XY443d8ddeZ/tBeYNYiSZa8vJE3nxT7alycy335851kqfdke7g2qf33UwdP168GqiH\nTmEttdkt5/lI0mkqFzv8VdaKmI+XGCTbN203l7VgwWjLGLp0SerZ1OX+WUZGWj7mxdiyxXHaRx99\nVMBdwNLX776bW0r+IQJIHT4RAXnbVK/nO3WySVi5xPvTGXSSo81xOB5u3bolfn5+0uzjZrIrbpds\nvbxVDl47aB6nK/avkIEDB0pCWoKZy96hWwfz+z+MYx+4J1gkgzsPNqfr8kwXGb1ltMM6/DvIPJhZ\nqsTj+ofX5UtOySJOii5LJ3lX80SXqZOCG8pDXdwUC2EyuUmibGS/3Jx32+H793A5Lm00qbLbAQGT\nti1NjEajvP/++w7H8KRJywRqm84/Mv1+It99pzdvcLuTJFvYIt5MEdhtl8fzzw+SK1di5cqVXNmw\n4bjUqLZdvNknlagoR7FlgPTvMV+WvOFcuvwWDazyXn7fOejsGMQgaUAD2c52iRkXK7s2FcneP/c9\ndH7/zuHt7X1faYvRKFKlyv3ncYZpGCVkJ8iS40vK7C3r3zrCjpZerzG1HD/XaIWgMdy3TQ9z/P77\n3z5l/9HI1ebajCGdQSd6g15uZt6U88nn5V7ePUnITpBvT34rr/7+qvT8uaccvXP0f7HGjpGSkiJf\nfvmlvPvuu9K0aVPzHHnsscfM/2fOnCla7b8n6SsN/5eIikxgmdW5EZhRIs1fwO7/7Qb+R16aNVEx\nHWncMkIeecSk/nTnhM1idKAdkhmFNK/zp1OiInj3bkVUvBonx2hhdz9iNLLh8gbptbKXMB1J9EOm\ndVJ5ZRVauFklceOTG3YERNbxLIkmWq6OvOr0OTskJqpdrQN07NhRqlWrJhcvXjTX99Cvlrrf6YPk\nRCAxo5BT8yxERVx6nBywUr3p87xVm00Y+edIO2LE0aHXF0hBwU31/s+9KC6m9xzyWYjEpccJnU0f\nRX97IgJEJnLZ5ryYm2Y0GiV9V/oDqyw4KuOZZ0SIjpaq244KYfnCt0rUn5BgSfMjR2XxsDQBkc8+\nUy5F7/dRjv3wht31igF6SVmfItFES6+uegHl7lXVbazAVGnTpr+AZSE8f/68iIj8NsqySTrFPOeE\nn+k4xrcSzW4RETnLbLv7wynbZiU4uOUDfYijoizvu6io7M/ZHh+LIiLiBZsNIHLqlIor8K9//ct8\nrW7JDOLiRAPyLkitJz2lSSiytGeUbOtYxTzXR3862mmbXUAiQaZY5eluuucKMp7nnFb+pm+w8IEq\no9yEclKUbeHkPgiMRqMUFjqP7aDVauXgwYMiIpJ3LU/SEtPkwoUL9803Oztbjh49Km3atJEjh484\nlHLsYpe4cNJp//gx1fx/OudlG9sFJouFcEAWfrJQLl64KHq9XowGo+wL2i8dSZZw8mRqteuStDxJ\nci8qScedVSkO67GRjbKb3XL357s27yV+Wrxd2q4cfOCB9jmvixtFptPzAielZk1rN97rBES+/z5B\nMtMK5XDTw07HTHNs4wpFEWX+v4QlMpOZ4uXlZZMmLCxMJk6caD7XaLzltddmSblydaRfvwMCkxyU\nFeW0DvC4eHqqZxTRrtx9R0ZGSnp6oU3zd5Wi0QuKc28+904Vur0rTLCoAg6YO88pgRBzxyLZ3bRJ\nhE7THadt85nw5iMPuUaI8HJ7ocUiISheeHKYeFe9LOOnJUloeGGZ8xg7VmTpUpGXXnKeZv780j19\nv7JhmHT54k3Zt98+ONG9e/fM36lr165J//795dKlS/edp383cnNz5a+//pLkZFvXxkajUUZsHiFV\n5lZx3EfTEN63Ou+J0A1hpOmYjDBWSZxWnlspF5MvSnx6vPx17S+ZsmtKmeK7WH/HU1NTS0lZOpKS\nkmTAgAGlzA/bo169etKhQweZOnWquQ4l9xQZGRny+eefy4YNG2TNmjWydu1auXnzpmi1WtHr9XL5\n8mVJTEyU8+fPy61bt2TDhg0yZ84cmTNnTnE5//VERR7wcYnz+SXSzAEy/7cb+B95aSWICtf3XKRR\nI7XBPZlw0maybG2D3K1rO4FKriZhBw+aJRWrGWB3v/pYZNOVTdLvl37CdORqMDK7rcrrYooD5/8m\nOFN1StuWJkb9A2yUnzSpfxSL41NT1fmJE+Yk2kJ7//hnZiuiwvra/t+RuHW95GZdW65f1bdM/729\nzXn2Wd1Hnl712H2JimIcPhxhvlb/C8v7rvUZsnE74jaygcPF/GgnW5uHBQsePLDbvn1KrL12rSWf\nTz+1/P/5Z0va4rgYl032Ao7q1KOH4+sg4utrUu0pEYOkZLp23JOu3JUbc5T0JT3dPq9JfCyA9O7d\nW0RE9Ll65wWXOA6xxlx23OQ4iW47UxKC3GWUVZr7L7oau6yPHRN5+ukM6dp1lbRoMVggTcBLfvpp\nsl3a48dF6tWznN++rcK5rFvnSCr0ptX/OGncuLFNXd599127fjUajWbColu3bg9EwUSCeJTS9m1l\nzMd8XLggsny5uW4FuoKH0nfPzc21q8uOHTvM97Oysmw4b6BUai5dumQ+//bbb6WoqMisIpORkSHt\n2rWT1q1bl9rfbWkrFXwryFrW2lyvVHGZ1PPKfKDXUVKacbLtyVJVtYqPff77nN5L/CFRSUnvk0e+\nldTiJG/KTH6TbzgmPTktafcMYjx+wq7CabSUefwgAjKbiVIOrUx9Ik3aB2TY5b8Xe4ngGJC2IJ48\nJiAylh9kPQdlB3vkwNYiidaUXuf6ZMkz3JIIciQYRxtig4De6jxXlJTzilhsYsq2kQLkhx8sY/Xu\nXSVNFBHJyRFp0ODBhj7EPGB6dVStanuu0die798v8scfD57vgxzvviuyY4f6PuTlibRsKfLII4qA\nyMkRcXcv8UztreL/bkNhirdzicuYCHnstV3y+Y4FQlDp/bBy5UrZsWOH5OXlSVxcnOTm5sqNGzfM\n6rQPA+tNscFgEIPBIM8//7zjOtRBmFCi/n1N91zs02vcNGUfZ21RzJX3kY93fCwjRoyQqtVqSd++\n38qkSd9Jo0YdSn2+WrVq4u7ubj6PiIiQfv36yfLly8VgMMidOxmyd6+aC56e39k9Hxj4tAwdukXG\nj8+Xxx8XefbZPIFkgRzx8NBL//6f29l2/YeOfwxR8bBxKq4B+0XkFdP5JSBVRDpapfkFeExEKjjJ\n5r8WNt6fTO7dG/0G8+dDQN2TNF/W3Jz2zx3Q6C5UNXl4qZTcjeQlO23zi45Wf3Lc+KnPMgazwuZ+\n1bdh9Vv7+WT/J2yN3crpJbC/Oox5Ai6OuGjnxxxAn6PnQMABXMnHhULaSb+HamtcehwR5WsDcON0\nNDWadIZ9+yzubE1uGPdv0dChl+2zh1dDs3HueCbpzNeKvp9H2pi3qJxrSVflbUjxhaKZYPTxxiVP\n+dtttrQZLcNa8k6DQG7f/owaNT6kRo33Adizx+ItpHNnsbsWnws7UiBHBxNMXh2/iYdVJ+vDYts4\nGkUZOkZ2zuabs+Xt2p+UBKGhlvP+/WHdOuW95tQp5X7/zBlo0sT2uXfegZkzLZ5KrafZ9OvXmXHz\nJo19fXmmYkU+iL0Jj3eyKxuUg6Pp06FtW3jjDeXpstjj6x7NHtt24EIPOlDShesIYulOMk/RDsfo\nhQooryEUNxYQyrN8Z5OiN5tYzAiqcoeVbGMQ3akZXMT3601O3/76F/TYZnaj2hmT36020LOncrk6\nbRo0awZjxsDNm8U5T0DFn1To23cRY8eOMnuaEoGuXS31WL26Atu3x/PDD/52rdDpDMTHx1FYWEjj\nxo0BD2AoBw7Mp2lTL1xdtXiZYif079+f5cuX4+XlhVarxcPDo8weaMRoRFNWF73Ay2DlSwlO0Ylm\n7LVJc51XqIljr02RwPbr10lISKBdO2d9WHY4a+fGjRt56qn/Gde+1khKSiLUNMlEhHHjxrFgwSwM\nBk9gCpAB2PvgbUcqw4inOvl295yhzuI6hA8PN5/r0nRcfe0qgR0CiRsfZ5e+1qxaVHtXxX7Z47bH\nHKOmLHAlj1p8Qzi/O00znR+pREMiyMcV4XOq04Kfmcn7ZSrjGrXpwybW8Sz9WcsNItnMAZxFhRAg\nFQ+eo63TPB99FMLCLJ7dGjWCvn3ho4/gm29yGT8+nOzsbGARcB2ohTKvvAIlxnVU1J9cuPBEmdry\ncPgVV/phwA0Af7LJIYD6XKIQLxIJYzhLGMhqUr79gyeHVgBXV4qK7L1Ix8erkCYuLspz3dSpynX2\nF1+oNSw4WLmVNqPRCugxVvFFvDMt14vXeoMHzHTuZQ5UnmPHzmTFzyu5W6clufVXQCrwU4mEgUC7\nILzS+1FY83tYDbihlm0HmPjhRH5e8jNJSUmllg/w3HPPUaNGDZo2bcra7Wv5TfcbYU3CKJ9VnopS\nEX93f34v+F350jSiuvk34HHAHdhUIsPqKJ+bJRHoA1llmaseKMect9BodtG4cXNcXNLw8/MnIyuO\n82edu6QuM3zgAZaNEqgJzERp+dsjIACySziXvHBBWLPmA2b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b2t9KVvEPwcOq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\niIiIVIoaFSIiIiIiUin/Bxs3O6+AaYp4AAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10874cc18>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.figure(figsize=(8,3.5))\n",
"plt.plot(cumulative_heads_ratio)\n",
"plt.plot([0, 10000], [0.51, 0.51], \"k--\", linewidth=2, label=\"51%\")\n",
"plt.plot([0, 10000], [0.5, 0.5], \"k-\", label=\"50%\")\n",
"plt.xlabel(\"Number of coin tosses\")\n",
"plt.ylabel(\"Heads ratio\")\n",
"plt.legend(loc=\"lower right\")\n",
"plt.axis([0, 10000, 0.42, 0.58])\n",
"save_fig(\"law_of_large_numbers_plot\")\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"LogisticRegression 0.864\n",
"RandomForestClassifier 0.872\n",
"SVC 0.888\n",
"VotingClassifier 0.912\n"
]
}
],
"source": [
"from sklearn.cross_validation import train_test_split\n",
"from sklearn.datasets import make_moons\n",
"\n",
"X, y = make_moons(n_samples=500, noise=0.30, random_state=42)\n",
"X_train, X_test, y_train, y_test = train_test_split(X, y, random_state=42)\n",
"\n",
"from sklearn.ensemble import RandomForestClassifier\n",
"from sklearn.ensemble import VotingClassifier\n",
"from sklearn.linear_model import LogisticRegression\n",
"from sklearn.svm import SVC\n",
"\n",
"log_clf = LogisticRegression(random_state=42)\n",
"rnd_clf = RandomForestClassifier(random_state=42)\n",
"svm_clf = SVC(probability=True, random_state=42)\n",
"\n",
"voting_clf = VotingClassifier(\n",
" estimators=[('lr', log_clf), ('rf', rnd_clf), ('svc', svm_clf)],\n",
" voting='soft'\n",
" )\n",
"voting_clf.fit(X_train, y_train)\n",
"\n",
"from sklearn.metrics import accuracy_score\n",
"\n",
"for clf in (log_clf, rnd_clf, svm_clf, voting_clf):\n",
" clf.fit(X_train, y_train)\n",
" y_pred = clf.predict(X_test)\n",
" print(clf.__class__.__name__, accuracy_score(y_test, y_pred))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Bagging ensembles"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"0.904\n"
]
}
],
"source": [
"from sklearn.datasets import make_moons\n",
"from sklearn.ensemble import BaggingClassifier\n",
"from sklearn.metrics import accuracy_score\n",
"from sklearn.tree import DecisionTreeClassifier\n",
"\n",
"bag_clf = BaggingClassifier(\n",
" DecisionTreeClassifier(random_state=42), n_estimators=500,\n",
" max_samples=100, bootstrap=True, n_jobs=-1, random_state=42\n",
" )\n",
"bag_clf.fit(X_train, y_train)\n",
"y_pred = bag_clf.predict(X_test)\n",
"print(accuracy_score(y_test, y_pred))"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"0.856\n"
]
}
],
"source": [
"tree_clf = DecisionTreeClassifier(random_state=42)\n",
"tree_clf.fit(X_train, y_train)\n",
"y_pred_tree = tree_clf.predict(X_test)\n",
"print(accuracy_score(y_test, y_pred_tree))"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"from matplotlib.colors import ListedColormap\n",
"\n",
"def plot_decision_boundary(clf, X, y, axes=[-1.5, 2.5, -1, 1.5], alpha=0.5, contour=True):\n",
" x1s = np.linspace(axes[0], axes[1], 100)\n",
" x2s = np.linspace(axes[2], axes[3], 100)\n",
" x1, x2 = np.meshgrid(x1s, x2s)\n",
" X_new = np.c_[x1.ravel(), x2.ravel()]\n",
" y_pred = clf.predict(X_new).reshape(x1.shape)\n",
" custom_cmap = ListedColormap(['#fafab0','#9898ff','#a0faa0'])\n",
" plt.contourf(x1, x2, y_pred, alpha=0.3, cmap=custom_cmap, linewidth=10)\n",
" if contour:\n",
" custom_cmap2 = ListedColormap(['#7d7d58','#4c4c7f','#507d50'])\n",
" plt.contour(x1, x2, y_pred, cmap=custom_cmap2, alpha=0.8)\n",
" plt.plot(X[:, 0][y==0], X[:, 1][y==0], \"yo\", alpha=alpha)\n",
" plt.plot(X[:, 0][y==1], X[:, 1][y==1], \"bs\", alpha=alpha)\n",
" plt.axis(axes)\n",
" plt.xlabel(r\"$x_1$\", fontsize=18)\n",
" plt.ylabel(r\"$x_2$\", fontsize=18, rotation=0)"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Saving figure decision_tree_without_and_with_bagging_plot\n"
]
},
{
"data": {
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8ca4NDZsibmMqI9sXP2vvnPlCIZk8UvE376sLtbWD3H+/JqG6ALNLG1LxGgeS6m1M9fbN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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x108568588>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.figure(figsize=(11,4))\n",
"plt.subplot(121)\n",
"plot_decision_boundary(tree_clf, X, y)\n",
"plt.title(\"Decision Tree\", fontsize=14)\n",
"plt.subplot(122)\n",
"plot_decision_boundary(bag_clf, X, y)\n",
"plt.title(\"Decision Trees with Bagging\", fontsize=14)\n",
"save_fig(\"decision_tree_without_and_with_bagging_plot\")\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Random Forests"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"bag_clf = BaggingClassifier(\n",
" DecisionTreeClassifier(splitter=\"random\", max_leaf_nodes=16, random_state=42),\n",
" n_estimators=500, max_samples=1.0, bootstrap=True,\n",
" n_jobs=-1, random_state=42\n",
" )\n",
"bag_clf.fit(X_train, y_train)\n",
"y_pred = bag_clf.predict(X_test)"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"from sklearn.ensemble import RandomForestClassifier\n",
"\n",
"rnd_clf = RandomForestClassifier(n_estimators=500, max_leaf_nodes=16, n_jobs=-1, random_state=42)\n",
"rnd_clf.fit(X_train, y_train)\n",
"\n",
"y_pred_rf = rnd_clf.predict(X_test)"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"0.97599999999999998"
]
},
"execution_count": 11,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"np.sum(y_pred == y_pred_rf) / len(y_pred) # almost identical predictions"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"sepal length (cm) = 0.112492250999\n",
"sepal width (cm) = 0.0231192882825\n",
"petal length (cm) = 0.441030464364\n",
"petal width (cm) = 0.423357996355\n"
]
}
],
"source": [
"from sklearn.datasets import load_iris\n",
"iris = load_iris()\n",
"rnd_clf = RandomForestClassifier(n_estimators=500, n_jobs=-1, random_state=42)\n",
"rnd_clf.fit(iris[\"data\"], iris[\"target\"])\n",
"for name, importance in zip(iris[\"feature_names\"], rnd_clf.feature_importances_):\n",
" print(name, \"=\", importance)"
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"array([ 0.11249225, 0.02311929, 0.44103046, 0.423358 ])"
]
},
"execution_count": 13,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"rnd_clf.feature_importances_"
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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Z06qqsrLylGQqgtPTTkd7P0qrbtLLZS1kMmawp+hsTfBoup9E6zbmK/PkNBOa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\nRUVERDLzf/jBfdjVsYUMAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10a09c0b8>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.figure(figsize=(6, 4))\n",
"\n",
"for i in range(15):\n",
" tree_clf = DecisionTreeClassifier(max_leaf_nodes=16, random_state=42+i)\n",
" indices_with_replacement = rnd.randint(0, len(X_train), len(X_train))\n",
" tree_clf.fit(X[indices_with_replacement], y[indices_with_replacement])\n",
" plot_decision_boundary(tree_clf, X, y, axes=[-1.5, 2.5, -1, 1.5], alpha=0.02, contour=False)\n",
"\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Out-of-Bag evaluation"
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"0.90133333333333332"
]
},
"execution_count": 15,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"bag_clf = BaggingClassifier(\n",
" DecisionTreeClassifier(random_state=42), n_estimators=500,\n",
" bootstrap=True, n_jobs=-1, oob_score=True, random_state=40\n",
")\n",
"bag_clf.fit(X_train, y_train)\n",
"bag_clf.oob_score_"
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"array([[ 0.31578947, 0.68421053],\n",
" [ 0.34117647, 0.65882353],\n",
" [ 1. , 0. ],\n",
" [ 0. , 1. ],\n",
" [ 0. , 1. ],\n",
" [ 0.08379888, 0.91620112],\n",
" [ 0.31891892, 0.68108108],\n",
" [ 0.02923977, 0.97076023],\n",
" [ 0.97687861, 0.02312139],\n",
" [ 0.97777778, 0.02222222]])"
]
},
"execution_count": 16,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"bag_clf.oob_decision_function_[:10]"
]
},
{
"cell_type": "code",
"execution_count": 17,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"0.91200000000000003"
]
},
"execution_count": 17,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"from sklearn.metrics import accuracy_score\n",
"y_pred = bag_clf.predict(X_test)\n",
"accuracy_score(y_test, y_pred)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Feature importance"
]
},
{
"cell_type": "code",
"execution_count": 18,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"RandomForestClassifier(bootstrap=True, class_weight=None, criterion='gini',\n",
" max_depth=None, max_features='auto', max_leaf_nodes=None,\n",
" min_samples_leaf=1, min_samples_split=2,\n",
" min_weight_fraction_leaf=0.0, n_estimators=10, n_jobs=1,\n",
" oob_score=False, random_state=42, verbose=0, warm_start=False)"
]
},
"execution_count": 18,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"from sklearn.datasets import fetch_mldata\n",
"mnist = fetch_mldata('MNIST original')\n",
"rnd_clf = RandomForestClassifier(random_state=42)\n",
"rnd_clf.fit(mnist[\"data\"], mnist[\"target\"])"
]
},
{
"cell_type": "code",
"execution_count": 19,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"def plot_digit(data):\n",
" image = data.reshape(28, 28)\n",
" plt.imshow(image, cmap = matplotlib.cm.hot,\n",
" interpolation=\"nearest\")\n",
" plt.axis(\"off\")"
]
},
{
"cell_type": "code",
"execution_count": 20,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Saving figure mnist_feature_importance_plot\n"
]
},
{
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAZMAAAEaCAYAAADUo7pxAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nAAMjTAAAA/s/ad/H8BSYmq8AAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10a10bf60>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plot_digit(rnd_clf.feature_importances_)\n",
"\n",
"cbar = plt.colorbar(ticks=[rnd_clf.feature_importances_.min(), rnd_clf.feature_importances_.max()])\n",
"cbar.ax.set_yticklabels(['Not important', 'Very important'])\n",
"\n",
"save_fig(\"mnist_feature_importance_plot\")\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# AdaBoost"
]
},
{
"cell_type": "code",
"execution_count": 21,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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HH/0aiYlJcT3PWInlmR4tuI8+ej9//ONBLlUVYDB4ufvBFO6772F+//tfTvp5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"text/plain": [
"<matplotlib.figure.Figure at 0x108647b38>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"from sklearn.ensemble import AdaBoostClassifier\n",
"\n",
"ada_clf = AdaBoostClassifier(\n",
" DecisionTreeClassifier(max_depth=2), n_estimators=200,\n",
" algorithm=\"SAMME.R\", learning_rate=0.5, random_state=42\n",
" )\n",
"ada_clf.fit(X_train, y_train)\n",
"plot_decision_boundary(ada_clf, X, y)"
]
},
{
"cell_type": "code",
"execution_count": 22,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Saving figure boosting_plot\n"
]
},
{
"data": {
"image/png": 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RhBpAXKIEY+QHiocdjZjSwUxDDzWuty+RUZsHjV0OHz7Bzp11NGpeolNb+d49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J9Hvj9paVbmz5/FCy84CQYN45YKjbeeB4NZRCKeuN/Hq20XAMLhCK+8cog39/ro9C5izxv7WLvW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\nAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1085bc400>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"m = len(X_train)\n",
"\n",
"plt.figure(figsize=(11, 4))\n",
"for subplot, learning_rate in ((121, 1), (122, 0.5)):\n",
" sample_weights = np.ones(m)\n",
" for i in range(5):\n",
" plt.subplot(subplot)\n",
" svm_clf = SVC(kernel=\"rbf\", C=0.05)\n",
" svm_clf.fit(X_train, y_train, sample_weight=sample_weights)\n",
" y_pred = svm_clf.predict(X_train)\n",
" sample_weights[y_pred != y_train] *= (1 + learning_rate)\n",
" plot_decision_boundary(svm_clf, X, y, alpha=0.2)\n",
" plt.title(\"learning_rate = {}\".format(learning_rate - 1), fontsize=16)\n",
"\n",
"plt.subplot(121)\n",
"plt.text(-0.7, -0.65, \"1\", fontsize=14)\n",
"plt.text(-0.6, -0.10, \"2\", fontsize=14)\n",
"plt.text(-0.5, 0.10, \"3\", fontsize=14)\n",
"plt.text(-0.4, 0.55, \"4\", fontsize=14)\n",
"plt.text(-0.3, 0.90, \"5\", fontsize=14)\n",
"save_fig(\"boosting_plot\")\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 23,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"['base_estimator_',\n",
" 'classes_',\n",
" 'estimator_errors_',\n",
" 'estimator_weights_',\n",
" 'estimators_',\n",
" 'feature_importances_',\n",
" 'n_classes_']"
]
},
"execution_count": 23,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"list(m for m in dir(ada_clf) if not m.startswith(\"_\") and m.endswith(\"_\"))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Gradient Boosting"
]
},
{
"cell_type": "code",
"execution_count": 24,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"[ 0.75026781]\n"
]
}
],
"source": [
"from sklearn.tree import DecisionTreeRegressor\n",
"\n",
"rnd.seed(42)\n",
"X = rnd.rand(100, 1) - 0.5\n",
"y = 3*X[:, 0]**2 + 0.05 * rnd.randn(100)\n",
"\n",
"tree_reg1 = DecisionTreeRegressor(max_depth=2, random_state=42)\n",
"tree_reg1.fit(X, y)\n",
"\n",
"y2 = y - tree_reg1.predict(X)\n",
"tree_reg2 = DecisionTreeRegressor(max_depth=2, random_state=42)\n",
"tree_reg2.fit(X, y2)\n",
"\n",
"y3 = y2 - tree_reg2.predict(X)\n",
"tree_reg3 = DecisionTreeRegressor(max_depth=2, random_state=42)\n",
"tree_reg3.fit(X, y3)\n",
"\n",
"X_new = np.array([[0.8]])\n",
"y_pred = sum(tree.predict(X_new) for tree in (tree_reg1, tree_reg2, tree_reg3))\n",
"print(y_pred)"
]
},
{
"cell_type": "code",
"execution_count": 25,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Saving figure gradient_boosting_plot\n"
]
},
{
"data": {
"image/png": 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88cczefJk3njjDaZPn87WW29NU1PuXo+TJk3iIx/5CPvuuy+bbropTz75JA8+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\nqif4OwAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10cf76198>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"def plot_predictions(regressors, X, y, axes, label=None, style=\"r-\", data_style=\"b.\", data_label=None):\n",
" x1 = np.linspace(axes[0], axes[1], 500)\n",
" y_pred = sum(regressor.predict(x1.reshape(-1, 1)) for regressor in regressors)\n",
" plt.plot(X[:, 0], y, data_style, label=data_label)\n",
" plt.plot(x1, y_pred, style, linewidth=2, label=label)\n",
" if label or data_label:\n",
" plt.legend(loc=\"upper center\", fontsize=16)\n",
" plt.axis(axes)\n",
"\n",
"plt.figure(figsize=(11,11))\n",
"\n",
"plt.subplot(321)\n",
"plot_predictions([tree_reg1], X, y, axes=[-0.5, 0.5, -0.1, 0.8], label=\"$h_1(x_1)$\", style=\"g-\", data_label=\"Training set\")\n",
"plt.ylabel(\"$y$\", fontsize=16, rotation=0)\n",
"plt.title(\"Residuals and tree predictions\", fontsize=16)\n",
"\n",
"plt.subplot(322)\n",
"plot_predictions([tree_reg1], X, y, axes=[-0.5, 0.5, -0.1, 0.8], label=\"$h(x_1) = h_1(x_1)$\", data_label=\"Training set\")\n",
"plt.ylabel(\"$y$\", fontsize=16, rotation=0)\n",
"plt.title(\"Ensemble predictions\", fontsize=16)\n",
"\n",
"plt.subplot(323)\n",
"plot_predictions([tree_reg2], X, y2, axes=[-0.5, 0.5, -0.5, 0.5], label=\"$h_2(x_1)$\", style=\"g-\", data_style=\"k+\", data_label=\"Residuals\")\n",
"plt.ylabel(\"$y - h_1(x_1)$\", fontsize=16)\n",
"\n",
"plt.subplot(324)\n",
"plot_predictions([tree_reg1, tree_reg2], X, y, axes=[-0.5, 0.5, -0.1, 0.8], label=\"$h(x_1) = h_1(x_1) + h_2(x_1)$\")\n",
"plt.ylabel(\"$y$\", fontsize=16, rotation=0)\n",
"\n",
"plt.subplot(325)\n",
"plot_predictions([tree_reg3], X, y3, axes=[-0.5, 0.5, -0.5, 0.5], label=\"$h_3(x_1)$\", style=\"g-\", data_style=\"k+\")\n",
"plt.ylabel(\"$y - h_1(x_1) - h_2(x_1)$\", fontsize=16)\n",
"plt.xlabel(\"$x_1$\", fontsize=16)\n",
"\n",
"plt.subplot(326)\n",
"plot_predictions([tree_reg1, tree_reg2, tree_reg3], X, y, axes=[-0.5, 0.5, -0.1, 0.8], label=\"$h(x_1) = h_1(x_1) + h_2(x_1) + h_3(x_1)$\")\n",
"plt.xlabel(\"$x_1$\", fontsize=16)\n",
"plt.ylabel(\"$y$\", fontsize=16, rotation=0)\n",
"\n",
"save_fig(\"gradient_boosting_plot\")\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 26,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Saving figure gbrt_learning_rate_plot\n"
]
},
{
"data": {
"image/png": 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zJvfeey/t2rXjsMMO45JLLgHclf9p06bx8MMPM2PGDKqqqli+fDk9e/as8385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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1085adb00>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"from sklearn.ensemble import GradientBoostingRegressor\n",
"\n",
"gbrt = GradientBoostingRegressor(max_depth=2, n_estimators=3, learning_rate=0.1, random_state=42)\n",
"gbrt.fit(X, y)\n",
"\n",
"gbrt_slow = GradientBoostingRegressor(max_depth=2, n_estimators=200, learning_rate=0.1, random_state=42)\n",
"gbrt_slow.fit(X, y)\n",
"\n",
"plt.figure(figsize=(11,4))\n",
"\n",
"plt.subplot(121)\n",
"plot_predictions([gbrt], X, y, axes=[-0.5, 0.5, -0.1, 0.8], label=\"Ensemble predictions\")\n",
"plt.title(\"learning_rate={}, n_estimators={}\".format(gbrt.learning_rate, gbrt.n_estimators), fontsize=14)\n",
"\n",
"plt.subplot(122)\n",
"plot_predictions([gbrt_slow], X, y, axes=[-0.5, 0.5, -0.1, 0.8])\n",
"plt.title(\"learning_rate={}, n_estimators={}\".format(gbrt_slow.learning_rate, gbrt_slow.n_estimators), fontsize=14)\n",
"\n",
"save_fig(\"gbrt_learning_rate_plot\")\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Gradient Boosting with Early stopping"
]
},
{
"cell_type": "code",
"execution_count": 27,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"from sklearn.cross_validation import train_test_split\n",
"from sklearn.metrics import mean_squared_error\n",
"\n",
"X_train, X_val, y_train, y_val = train_test_split(X, y)\n",
"\n",
"gbrt = GradientBoostingRegressor(max_depth=2, n_estimators=120, learning_rate=0.1, random_state=42)\n",
"gbrt.fit(X_train, y_train)\n",
"\n",
"errors = [mean_squared_error(y_val, y_pred) for y_pred in gbrt.staged_predict(X_val)]"
]
},
{
"cell_type": "code",
"execution_count": 28,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"GradientBoostingRegressor(alpha=0.9, init=None, learning_rate=0.1, loss='ls',\n",
" max_depth=2, max_features=None, max_leaf_nodes=None,\n",
" min_samples_leaf=1, min_samples_split=2,\n",
" min_weight_fraction_leaf=0.0, n_estimators=79, presort='auto',\n",
" random_state=42, subsample=1.0, verbose=0, warm_start=False)"
]
},
"execution_count": 28,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"best_n_estimators = np.argmin(errors)\n",
"min_error = errors[best_n_estimators]\n",
"\n",
"gbrt_best = GradientBoostingRegressor(max_depth=2, n_estimators=best_n_estimators, learning_rate=0.1, random_state=42)\n",
"gbrt_best.fit(X_train, y_train)"
]
},
{
"cell_type": "code",
"execution_count": 29,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Saving figure early_stopping_gbrt_plot\n"
]
},
{
"data": {
"image/png": 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uFUoa15bQYueJpUth++3rbi8vh4MOav73ExFJFB+D+vaF5cuzftnUqSF42LIF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\ngZmdDewN3NJC9Wr1WiqbTWkpjNo7zL1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RI6PGaDRH4yUZkQmYY2JGEq9EgiIBUQS5CCLC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\nmZnl5gDCzMzMzMxycwBhZmZmZma5/X8IExD+GjSxqgAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10c491e80>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.figure(figsize=(11, 4))\n",
"\n",
"plt.subplot(121)\n",
"plt.plot(errors, \"b.-\")\n",
"plt.plot([best_n_estimators, best_n_estimators], [0, min_error], \"k--\")\n",
"plt.plot([0, 120], [min_error, min_error], \"k--\")\n",
"plt.plot(best_n_estimators, min_error, \"ko\")\n",
"plt.text(best_n_estimators, min_error*1.2, \"Minimum\", ha=\"center\", fontsize=14)\n",
"plt.axis([0, 120, 0, 0.01])\n",
"plt.xlabel(\"Number of trees\")\n",
"plt.title(\"Validation error\", fontsize=14)\n",
"\n",
"plt.subplot(122)\n",
"plot_predictions([gbrt_best], X, y, axes=[-0.5, 0.5, -0.1, 0.8])\n",
"plt.title(\"Best model (55 trees)\", fontsize=14)\n",
"\n",
"save_fig(\"early_stopping_gbrt_plot\")\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 30,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"gbrt = GradientBoostingRegressor(max_depth=2, n_estimators=1, learning_rate=0.1, random_state=42, warm_start=True)\n",
"\n",
"min_val_error = float(\"inf\")\n",
"error_going_up = 0\n",
"for n_estimators in range(1, 120):\n",
" gbrt.n_estimators = n_estimators\n",
" gbrt.fit(X_train, y_train)\n",
" y_pred = gbrt.predict(X_val)\n",
" val_error = mean_squared_error(y_val, y_pred)\n",
" if val_error < min_val_error:\n",
" min_val_error = val_error\n",
" error_going_up = 0\n",
" else:\n",
" error_going_up += 1\n",
" if error_going_up == 5:\n",
" break # early stopping"
]
},
{
"cell_type": "code",
"execution_count": 31,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"59\n"
]
}
],
"source": [
"print(gbrt.n_estimators)"
]
},
{
"cell_type": "markdown",
"metadata": {
"collapsed": true
},
"source": [
"# Exercise solutions"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"**Coming soon**"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": []
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
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