/**
* 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.functions.kernel.evosvm;
import com.rapidminer.example.Attribute;
import com.rapidminer.example.Example;
import com.rapidminer.example.ExampleSet;
import com.rapidminer.operator.Operator;
import com.rapidminer.operator.OperatorException;
import com.rapidminer.operator.learner.functions.kernel.SupportVector;
import com.rapidminer.operator.performance.EstimatedPerformance;
import com.rapidminer.operator.performance.PerformanceVector;
import com.rapidminer.tools.LoggingHandler;
import com.rapidminer.tools.RandomGenerator;
import com.rapidminer.tools.math.kernels.Kernel;
import com.rapidminer.tools.math.optimization.ec.es.ESOptimization;
import com.rapidminer.tools.math.optimization.ec.es.Individual;
import java.util.ArrayList;
import java.util.Iterator;
import java.util.List;
/**
* Evolutionary Strategy approach for SVM optimization. Currently only classification problems are
* supported.
*
* @author Ingo Mierswa
*/
public class RegressionEvoOptimization extends ESOptimization implements EvoOptimization {
/** Number smaller than this number are regarded as zero. */
// private final static double IS_ZERO = 1e-10;
/** The training example set. */
private ExampleSet exampleSet;
/** The used kernel function. */
private Kernel kernel;
/** This parameter indicates the width of the regression tube loss function. */
// private double epsilon = 0.0d;
/** The label values. */
private double[] ys;
/** This function is to maximize. */
private OptimizationFunction optimizationFunction;
/** Creates a new evolutionary SVM optimization. */
@Deprecated
public RegressionEvoOptimization(
ExampleSet exampleSet, // training data
Kernel kernel, double c,
double epsilon, // SVM paras
int initType, // start population creation type para
int maxIterations, int generationsWithoutImprovement,
int popSize, // GA paras
int selectionType, double tournamentFraction,
boolean keepBest, // selection paras
int mutationType, // type of mutation
double crossoverProb, boolean showConvergencePlot, boolean showPopulationPlot, RandomGenerator random,
LoggingHandler logging) {
this(exampleSet, kernel, c, epsilon, initType, maxIterations, generationsWithoutImprovement, popSize, selectionType,
tournamentFraction, keepBest, mutationType, crossoverProb, showConvergencePlot, showPopulationPlot, random,
logging, null);
}
/** Creates a new evolutionary SVM optimization. */
public RegressionEvoOptimization(
ExampleSet exampleSet, // training data
Kernel kernel, double c,
double epsilon, // SVM paras
int initType, // start population creation type para
int maxIterations, int generationsWithoutImprovement,
int popSize, // GA paras
int selectionType, double tournamentFraction,
boolean keepBest, // selection paras
int mutationType, // type of mutation
double crossoverProb, boolean showConvergencePlot, boolean showPopulationPlot, RandomGenerator random,
LoggingHandler logging, Operator executingOperator) {
super(EvoSVM.createBoundArray(0.0d, 2 * exampleSet.size()), EvoSVM.determineMax(c, kernel, exampleSet,
selectionType, 2 * exampleSet.size()), popSize, 2 * exampleSet.size(), initType, maxIterations,
generationsWithoutImprovement, selectionType, tournamentFraction, keepBest, mutationType, Double.NaN,
crossoverProb, showConvergencePlot, showPopulationPlot, random, logging, executingOperator);
this.exampleSet = exampleSet;
this.kernel = kernel;
// this.epsilon = epsilon;
// label values
this.ys = new double[exampleSet.size()];
Iterator<Example> reader = exampleSet.iterator();
int index = 0;
while (reader.hasNext()) {
Example example = reader.next();
ys[index++] = example.getLabel();
}
// optimization function
this.optimizationFunction = new RegressionOptimizationFunction(epsilon);
}
@Override
public PerformanceVector evaluateIndividual(Individual individual) {
double[] fitness = optimizationFunction.getFitness(individual.getValues(), ys, kernel);
PerformanceVector performanceVector = new PerformanceVector();
performanceVector.addCriterion(new EstimatedPerformance("SVM_fitness", fitness[0], 1, false));
performanceVector.addCriterion(new EstimatedPerformance("SVM_complexity", fitness[1], 1, false));
return performanceVector;
}
// ================================================================================
// T R A I N
// ================================================================================
/**
* Trains the SVM. In this case an evolutionary strategy approach is applied to determine the
* best alpha values.
*/
@Override
public EvoSVMModel train() throws OperatorException {
optimize();
return getModel(getBestValuesEver());
}
/** Delivers the fitness of the best individual as performance vector. */
@Override
public PerformanceVector getOptimizationPerformance() {
double[] bestValuesEver = getBestValuesEver();
double[] finalFitness = optimizationFunction.getFitness(bestValuesEver, ys, kernel);
PerformanceVector result = new PerformanceVector();
result.addCriterion(new EstimatedPerformance("svm_objective_function", finalFitness[0], 1, false));
result.addCriterion(new EstimatedPerformance("no_support_vectors", -1 * finalFitness[1], 1, true));
return result;
}
// ================================================================================
// C R E A T E M O D E L
// ================================================================================
/**
* Returns a model containing all support vectors, i.e. the examples with non-zero alphas.
*/
private EvoSVMModel getModel(double[] alphas) {
// calculate support vectors
Attribute[] regularAttributes = exampleSet.getAttributes().createRegularAttributeArray();
Iterator<Example> reader = exampleSet.iterator();
List<SupportVector> supportVectors = new ArrayList<>();
int index = 0;
while (reader.hasNext()) {
double currentAlpha = alphas[index];
Example currentExample = reader.next();
if (currentAlpha != 0.0d) {
double[] x = new double[regularAttributes.length];
int a = 0;
for (Attribute attribute : regularAttributes) {
x[a++] = currentExample.getValue(attribute);
}
supportVectors.add(new SupportVector(x, ys[index], currentAlpha));
}
index++;
}
// calculate all sum values
double[] sum = new double[exampleSet.size()];
reader = exampleSet.iterator();
index = 0;
while (reader.hasNext()) {
Example current = reader.next();
double[] x = new double[regularAttributes.length];
int a = 0;
for (Attribute attribute : regularAttributes) {
x[a++] = current.getValue(attribute);
}
sum[index] = kernel.getSum(supportVectors, x);
index++;
}
// calculate b (from Stefan's mySVM code)
double bSum = 0.0d;
int bCounter = 1;
/*
* int bCounter = 0; for (int i = 0; i < ys.length / 2; i++) { if ((ys[i] * alphas[i] - c <
* -IS_ZERO) && (ys[i] * alphas[i] > IS_ZERO)) { bSum += ys[i] - sum[i] - epsilon;
* bCounter++; } else if ((ys[i] * alphas[i] + c > IS_ZERO) && (ys[i] * alphas[i] <
* -IS_ZERO)) { bSum += ys[i] - sum[i] + epsilon; bCounter++; } }
*
* if (bCounter == 0) { // unlikely bSum = 0.0d; for (int i = 0; i < ys.length / 2; i++) {
* if ((ys[i] * alphas[i] < IS_ZERO) && (ys[i] * alphas[i] > -IS_ZERO)) { bSum += ys[i] -
* sum[i] - epsilon; bCounter++; } } if (bCounter == 0) { // even unlikelier bSum = 0.0d;
* for (int i = 0; i < ys.length / 2; i++) { bSum += ys[i] - sum[i] - epsilon; bCounter++; }
* } }
*/
return new EvoSVMModel(exampleSet, supportVectors, kernel, bSum / bCounter);
}
}