/** * 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.tools.math.kernels; import com.rapidminer.tools.Tools; /** * Returns the value of the Gaussian combination kernel of both examples. * * @author Ingo Mierswa */ public class GaussianCombinationKernel extends Kernel { private static final long serialVersionUID = 542405909968243049L; /** The parameter sigma1 of the Gaussian combination kernel. */ private double sigma1 = 1.0d; /** The parameter sigma2 of the Gaussian combination kernel. */ private double sigma2 = 0.0d; /** The parameter sigma3 of the Gaussian combination kernel. */ private double sigma3 = 2.0d; @Override public int getType() { return KERNEL_GAUSSIAN_COMBINATION; } public void setSigma1(double sigma1) { this.sigma1 = sigma1; } public void setSigma2(double sigma2) { this.sigma2 = sigma2; } public void setSigma3(double sigma3) { this.sigma3 = sigma3; } public double getSigma1() { return sigma1; } public double getSigma2() { return sigma2; } public double getSigma3() { return sigma3; } /** Calculates kernel value of vectors x and y. */ @Override public double calculateDistance(double[] x1, double[] x2) { double norm2 = norm2(x1, x2); double exp1 = sigma1 == 0.0d ? 0.0d : Math.exp((-1) * norm2 / sigma1); double exp2 = sigma2 == 0.0d ? 0.0d : Math.exp((-1) * norm2 / sigma2); double exp3 = sigma3 == 0.0d ? 0.0d : Math.exp((-1) * norm2 / sigma3); return exp1 + exp2 - exp3; } @Override public String getDistanceFormula(double[] x, String[] attributeConstructions) { StringBuffer norm2Expression = new StringBuffer(); boolean first = true; for (int i = 0; i < x.length; i++) { double value = x[i]; String valueString = "(" + value + " - " + attributeConstructions[i] + ")"; if (first) { norm2Expression.append(valueString + " * " + valueString); } else { norm2Expression.append(" + " + valueString + " * " + valueString); } first = false; } String exp1 = sigma1 == 0.0d ? "" : "exp(-1 * " + norm2Expression.toString() + " / " + sigma1 + ")"; String exp2 = sigma2 == 0.0d ? "" : "exp(-1 * " + norm2Expression.toString() + " / " + sigma2 + ")"; String exp3 = sigma3 == 0.0d ? "" : "exp(-1 * " + norm2Expression.toString() + " / " + sigma3 + ")"; StringBuffer result = new StringBuffer(); if (exp1.length() > 0) { result.append(exp1); } if (exp2.length() > 0) { if (result.length() > 0) { result.append(" + " + exp2); } else { result.append(exp2); } } if (exp3.length() > 0) { if (result.length() > 0) { result.append(" - " + exp3); } else { result.append("-" + exp3); } } return result.toString(); } @Override public String toString() { return "GaussianCombination Kernel with" + Tools.getLineSeparator() + " sigma1: " + Tools.formatNumber(getSigma1()) + Tools.getLineSeparator() + " sigma2: " + Tools.formatNumber(getSigma2()) + Tools.getLineSeparator() + " sigma3: " + Tools.formatNumber(getSigma3()) + Tools.getLineSeparator(); } }