{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# About\n", "\n", "This notebook demonstrates stacking machine learning algorithm - folding, which physics use in their analysis." ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Populating the interactive namespace from numpy and matplotlib\n" ] } ], "source": [ "%pylab inline" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Loading data" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### download particle identification Data Set from UCI" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "File `MiniBooNE_PID.txt' already there; not retrieving.\r\n" ] } ], "source": [ "!cd toy_datasets; wget -O MiniBooNE_PID.txt -nc MiniBooNE_PID.txt https://archive.ics.uci.edu/ml/machine-learning-databases/00199/MiniBooNE_PID.txt" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": false }, "outputs": [], "source": [ "import numpy, pandas\n", "from rep.utils import train_test_split\n", "from sklearn.metrics import roc_auc_score\n", "\n", "data = pandas.read_csv('toy_datasets/MiniBooNE_PID.txt', sep='\\s*', skiprows=[0], header=None, engine='python')\n", "labels = pandas.read_csv('toy_datasets/MiniBooNE_PID.txt', sep=' ', nrows=1, header=None)\n", "labels = [1] * labels[1].values[0] + [0] * labels[2].values[0]\n", "data.columns = ['feature_{}'.format(key) for key in data.columns]\n", "\n", "train_data, test_data, train_labels, test_labels = train_test_split(data, labels, train_size=0.5)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Training variables" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": false }, "outputs": [], "source": [ "variables = list(data.columns)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Folding strategy - stacking algorithm\n", "\n", "It implements the same interface as all classifiers, but with some difference:\n", "\n", "* all prediction methods have additional parameter \"vote\\_function\" (example folder.predict(X, __vote\\_function=None)__), which is used to combine all classifiers' predictions. By default \"mean\" is used as \"vote_function\"" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": false }, "outputs": [], "source": [ "from rep.estimators import SklearnClassifier\n", "from sklearn.ensemble import GradientBoostingClassifier" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Define folding model" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": false }, "outputs": [], "source": [ "from rep.metaml import FoldingClassifier" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "FoldingClassifier(base_estimator=GradientBoostingClassifier(init=None, learning_rate=0.1, loss='deviance',\n", " max_depth=3, 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=100,\n", " random_state=None, subsample=1.0, verbose=0,\n", " warm_start=False),\n", " features=['feature_0', 'feature_1', 'feature_2', 'feature_3', 'feature_4', 'feature_5', 'feature_6', 'feature_7', 'feature_8', 'feature_9', 'feature_10', 'feature_11', 'feature_12', 'feature_13', 'feature_14', 'feature_15', 'feature_16', 'feature_17', 'feature_18', 'feature_19', 'feature_20', 'featu...', 'feature_43', 'feature_44', 'feature_45', 'feature_46', 'feature_47', 'feature_48', 'feature_49'],\n", " ipc_profile=None, n_folds=4, random_state=None)" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" } ], "source": [ "n_folds = 4\n", "folder = FoldingClassifier(GradientBoostingClassifier(), n_folds=n_folds, features=variables)\n", "folder.fit(train_data, train_labels)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Default prediction (predict i_th_ fold by i_th_ classifier)" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "KFold prediction using folds column\n" ] }, { "data": { "text/plain": [ "array([[ 0.96744155, 0.03255845],\n", " [ 0.9254746 , 0.0745254 ],\n", " [ 0.98048878, 0.01951122],\n", " ..., \n", " [ 0.98744345, 0.01255655],\n", " [ 0.99227938, 0.00772062],\n", " [ 0.02780023, 0.97219977]])" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" } ], "source": [ "folder.predict_proba(train_data)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Voting prediction (predict i-fold by all classifiers and take value, which is calculated by `vote_function`)" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "collapsed": false }, "outputs": [], "source": [ "# definition of mean function, which combines all predictions\n", "def mean_vote(x):\n", " return numpy.mean(x, axis=0)" ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Using voting KFold prediction\n" ] }, { "data": { "text/plain": [ "array([[ 0.14722266, 0.85277734],\n", " [ 0.95026913, 0.04973087],\n", " [ 0.99504987, 0.00495013],\n", " ..., \n", " [ 0.17173721, 0.82826279],\n", " [ 0.94682241, 0.05317759],\n", " [ 0.07535153, 0.92464847]])" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" } ], "source": [ "folder.predict_proba(test_data, vote_function=mean_vote)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Comparison of folds" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Again use `ClassificationReport` class to compare different results. For folding classifier this report uses only __default prediction__." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Report training dataset" ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "KFold prediction using folds column\n" ] } ], "source": [ "from rep.data.storage import LabeledDataStorage\n", "from rep.report import ClassificationReport\n", "# add folds_column to dataset to use mask\n", "train_data[\"FOLDS\"] = folder._get_folds_column(len(train_data))\n", "lds = LabeledDataStorage(train_data, train_labels)\n", "\n", "report = ClassificationReport({'folding': folder}, lds)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Signal distribution for each fold\n", "\n", "Use `mask` parameter to plot distribution for the specific fold " ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "collapsed": false }, "outputs": [ { "data": { 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"collapsed": false }, "outputs": [ { "data": { "image/png": [ "iVBORw0KGgoAAAANSUhEUgAAAZIAAAEiCAYAAADTSFSPAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\n", "AAALEgAACxIB0t1+/AAAIABJREFUeJzt3XeYG9X18PGvpF1tc8fYhlCN6Z1QAiFw4UdJKEkoLyRA\n", "wCmEkkAgjUAaSSghIYWSHsAUp5AKppoSBQihmBK6u3HB3ev12tulef84I2tWK2mlVblXq/N5nnks\n", "jUaj47E1R7eDUkoppZRSSimllFJKKaWUUkoppZRSSimllFJKKaWUUkpVl2lAwt96gaXAncBWGY49\n", "BLgfWAt0AW8D3wEaMhy7H/BnYLl/7FzgDmCvkkavlFLKujuAR4EJwNbAscBi4LG04z4K9AC3IUli\n", "W+ATSOL5N1AfOPYkoBuYAfwfsD3wfuA64IEy/T2yqavw5ymlVM2ZhpQygn4CtAeeNwOrgb9neP/+\n", "QBz4atqx/8zyeaMGiecrSOmlC1iCJB+AHZBS0wFpxyeAU9OO+QTwJNABXOL/eVLa+45DEuN4//n7\n", "gD8B6/ztAWBK4PhtgfuQ0tgmpDR25iB/F6WUqgnTkJJD0mTgTeRGnHQKcoP+QJZzzARezvPYXK4H\n", "WoGpwI7AQcAF/ms7kH8iWejv2x5JEH8G/pj2vjtJlY6agTnA7UjV2y7A74BFQKN/zAyk5La3f97j\n", "/U0ppWreNKRtpB355Z5AbprjAsdc4e8fneUcNyG/0gG+Psix2YwAOoHPZ3l9B/JPJJenHXOyH98I\n", "/3kT0IaUXAA+gySSoAiwBjjdf/4/pD1IqZII2w5AqRL7N7AvcDBwC3AkMLHAc3j+n6EhxrAH0mj/\n", 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test_labels)\n", "\n", "report = ClassificationReport({'folding': folder}, lds)" ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": [ "iVBORw0KGgoAAAANSUhEUgAAAjUAAAEZCAYAAABvk9RIAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\n", "AAALEgAACxIB0t1+/AAAIABJREFUeJzt3XvcHFV9+PHPQyABg3IRBIJIElFEUKFai9w8ovKTFhUQ\n", "L1SFiAq1VVHaH5SfF2KLN7wFqqKoJEoVwWoVraW2yqqJoihFRYsWHwJyByEQYgiX7O+PM2t2d/b2\n", "7Mzu2Wf38369Jpnr2e88k+x8n3POnAFJkiRJkiRJkiRJkiRJkiRJkiRJkiRJkiRJkkbD6cAVwD3A\n", "7cAlwN5N+6wANjZNPxheiJIkabbabIif9Wzgo8CzgEOBh4D/Arar26cK/Cewc93050OMUZIkacbm\n", "ExObv6hbtwL4epJoJEnSrDbMmppmj8o+/+66dVXgIOA24NfAecCOww9NkiSpdxcDPwWm6ta9HDiC\n", "2NfmCOAq4BfA3KFHJ0mS1IMPAzcCC7vstwvwAHDUoAOSJEmz2+YJPvMjwMuA5wCru+x7CzH52aPF\n", "tpuABaVGJkmSUvktre/3I+ts4GZgzx733xHYALyqxbZqWUGpFEtTB6CcpakDUIOlqQNQztLUAahB\n", "4fv6MDsKfwxYArySOFZN7ZHt+dn2+cAHgf2JzVKBOJbNbcC/DjFO9Wdh6gCUszB1AGqwMHUAylmY\n", 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