/* * RapidMiner * * Copyright (C) 2001-2011 by Rapid-I and the contributors * * Complete list of developers available at our web site: * * http://rapid-i.com * * This program is free software: you can redistribute it and/or modify * it under the terms of the GNU Affero General Public License as published by * the Free Software Foundation, either version 3 of the License, or * (at your option) any later version. * * This program is distributed in the hope that it will be useful, * but WITHOUT ANY WARRANTY; without even the implied warranty of * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the * GNU Affero General Public License for more details. * * You should have received a copy of the GNU Affero General Public License * along with this program. If not, see http://www.gnu.org/licenses/. */ package com.rapidminer.operator.learner.tree.criterions; import com.rapidminer.example.Attribute; import com.rapidminer.example.ExampleSet; import com.rapidminer.operator.learner.tree.FrequencyCalculator; /** * Calculates the Gini index for the given split. * * @author Ingo Mierswa */ public class GiniIndexCriterion extends AbstractCriterion { private FrequencyCalculator frequencyCalculator = new FrequencyCalculator(); public double getNominalBenefit(ExampleSet exampleSet, Attribute attribute) { double[][] weightCounts = frequencyCalculator.getNominalWeightCounts(exampleSet, attribute); return getBenefit(weightCounts); } public double getNumericalBenefit(ExampleSet exampleSet, Attribute attribute, double splitValue) { double[][] weightCounts = frequencyCalculator.getNumericalWeightCounts(exampleSet, attribute, splitValue); return getBenefit(weightCounts); } public double getBenefit(double[][] weightCounts) { // calculate information amount WITHOUT this attribute double[] classWeights = new double[weightCounts[0].length]; for (int l = 0; l < classWeights.length; l++) { for (int v = 0; v < weightCounts.length; v++) { classWeights[l] += weightCounts[v][l]; } } double totalClassWeight = frequencyCalculator.getTotalWeight(classWeights); double totalEntropy = getGiniIndex(classWeights, totalClassWeight); double gain = 0; for (int v = 0; v < weightCounts.length; v++) { double[] partitionWeights = weightCounts[v]; double partitionWeight = frequencyCalculator.getTotalWeight(partitionWeights); gain += getGiniIndex(partitionWeights, partitionWeight) * partitionWeight / totalClassWeight; } return totalEntropy - gain; } private double getGiniIndex(double[] labelWeights, double totalWeight) { double sum = 0.0d; for (int i = 0; i < labelWeights.length; i++) { double frequency = labelWeights[i] / totalWeight; sum += frequency * frequency; } return 1.0d - sum; } @Override public boolean supportsIncrementalCalculation() { return true; } @Override public double getIncrementalBenefit() { double totalGiniEntropy = getGiniIndex(totalLabelWeights, totalWeight); double gain = getGiniIndex(leftLabelWeights, leftWeight) * leftWeight / totalWeight; gain += getGiniIndex(rightLabelWeights, rightWeight) * rightWeight / totalWeight; return totalGiniEntropy - gain; } }