/**
* Copyright (C) 2001-2017 by RapidMiner and the contributors
*
* Complete list of developers available at our web site:
*
* http://rapidminer.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.operator.learner.tree.FrequencyCalculator;
import com.rapidminer.operator.learner.tree.MinimalGainHandler;
/**
* Calculates the Gini index for the given split.
*
* @author Ingo Mierswa, Gisa Schaefer
*/
public class GiniIndexColumnCriterion extends AbstractColumnCriterion implements MinimalGainHandler {
private FrequencyCalculator frequencyCalculator = new FrequencyCalculator();
private double minimalGain = 0.1;
public GiniIndexColumnCriterion() {}
public GiniIndexColumnCriterion(double minimalGain) {
this.minimalGain = minimalGain;
}
@Override
public void setMinimalGain(double minimalGain) {
this.minimalGain = minimalGain;
}
@Override
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);
int differentValues = 0;
double gain = 0;
for (int v = 0; v < weightCounts.length; v++) {
double[] partitionWeights = weightCounts[v];
double partitionWeight = frequencyCalculator.getTotalWeight(partitionWeights);
if (partitionWeight > 0) {
differentValues++;
gain += getGiniIndex(partitionWeights, partitionWeight) * partitionWeight / totalClassWeight;
}
}
// if the attribute has only one value left, discourage a split
if (differentValues < 2) {
return Double.NEGATIVE_INFINITY;
}
// check if gain is enough
if (totalEntropy - gain < minimalGain * totalEntropy) {
return 0;
}
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(WeightDistribution distribution) {
double totalGiniEntropy = getGiniIndex(distribution.getTotalLabelWeigths(), distribution.getTotalWeigth());
double gain = getGiniIndex(distribution.getLeftLabelWeigths(), distribution.getLeftWeigth())
* distribution.getLeftWeigth() / distribution.getTotalWeigth();
gain += getGiniIndex(distribution.getRightLabelWeigths(), distribution.getRightWeigth())
* distribution.getRightWeigth() / distribution.getTotalWeigth();
if (distribution.hasMissingValues()) {
gain += getGiniIndex(distribution.getMissingsLabelWeigths(), distribution.getMissingsWeigth())
* distribution.getMissingsWeigth() / distribution.getTotalWeigth();
}
// check if gain is enough
if (totalGiniEntropy - gain < minimalGain * totalGiniEntropy) {
return 0;
}
return totalGiniEntropy - gain;
}
}