/*
* 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.tools.math.kernels;
import com.rapidminer.tools.Tools;
/**
* Returns the value of a Sigmoid kernel of both examples.
*
* @author Ingo Mierswa
*/
public class SigmoidKernel extends Kernel {
private static final long serialVersionUID = -4503893127271607088L;
/** The parameter a of the sigmoid kernel. */
private double a = 1.0d;
/** The parameter b of the sigmoid kernel. */
private double b = 0.0d;
@Override
public int getType() {
return KERNEL_SIGMOID;
}
/** Sets the parameters of this Sigmoid kernel to the given values a and b. */
public void setSigmoidParameters(double a, double b) {
this.a = a;
this.b = b;
}
/** Subclasses must implement this method. */
@Override
public double calculateDistance(double[] x1, double[] x2) {
// K = tanh(a(x*y)+b)
double prod = a * innerProduct(x1, x2) + b;
double e1 = Math.exp(prod);
double e2 = Math.exp(-prod);
return ((e1 - e2) / (e1 + e2));
}
@Override
public String getDistanceFormula(double[] x, String[] attributeConstructions) {
StringBuffer result = new StringBuffer();
boolean first = true;
for (int i = 0; i < x.length; i++) {
double value = x[i];
if (!Tools.isZero(value)) {
if (value < 0.0d) {
if (first)
result.append("-" + Math.abs(value) + " * " + attributeConstructions[i]);
else
result.append(" - " + Math.abs(value) + " * " + attributeConstructions[i]);
} else {
if (first)
result.append(value + " * " + attributeConstructions[i]);
else
result.append(" + " + value + " * " + attributeConstructions[i]);
}
first = false;
}
}
String e1 = "exp(" + result.toString() + ")";
String e2 = "exp(-1 * (" + result.toString() + "))";
return "((" + e1 + " - " + e2 + ") / (" + e1 + " + " + e2 + "))";
}
@Override
public String toString() {
return "Sigmoid Kernel with" + Tools.getLineSeparator() +
" a: " + Tools.formatNumber(a) + Tools.getLineSeparator() +
" b: " + Tools.formatNumber(b);
}
}