/*
* Encog(tm) Core v2.5 - Java Version
* http://www.heatonresearch.com/encog/
* http://code.google.com/p/encog-java/
* Copyright 2008-2010 Heaton Research, Inc.
*
* Licensed under the Apache License, Version 2.0 (the "License");
* you may not use this file except in compliance with the License.
* You may obtain a copy of the License at
*
* http://www.apache.org/licenses/LICENSE-2.0
*
* Unless required by applicable law or agreed to in writing, software
* distributed under the License is distributed on an "AS IS" BASIS,
* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
* See the License for the specific language governing permissions and
* limitations under the License.
*
* For more information on Heaton Research copyrights, licenses
* and trademarks visit:
* http://www.heatonresearch.com/copyright
*/
package org.encog.engine.network.activation;
import org.encog.engine.util.BoundMath;
/**
* An activation function based on the gaussian function.
*
* @author jheaton
*
*/
public class ActivationGaussian implements ActivationFunction {
/**
* The offset to the parameter that holds the width.
*/
public static final int PARAM_GAUSSIAN_CENTER = 0;
/**
* The offset to the parameter that holds the peak.
*/
public static final int PARAM_GAUSSIAN_PEAK = 1;
/**
* The offset to the parameter that holds the width.
*/
public static final int PARAM_GAUSSIAN_WIDTH = 2;
/**
* The parameters.
*/
private double[] params;
/**
* The serial id.
*/
private static final long serialVersionUID = -7166136514935838114L;
/**
* Create a gaussian activation function.
*
* @param center
* The center of the curve.
* @param peak
* The peak of the curve.
* @param width
* The width of the curve.
*/
public ActivationGaussian(final double center, final double peak,
final double width) {
this.params = new double[3];
this.params[ActivationGaussian.PARAM_GAUSSIAN_CENTER] = center;
this.params[ActivationGaussian.PARAM_GAUSSIAN_PEAK] = peak;
this.params[ActivationGaussian.PARAM_GAUSSIAN_WIDTH] = width;
}
/**
* @return The object cloned.
*/
@Override
public ActivationFunction clone() {
return new ActivationGaussian(this.getCenter(), this.getPeak(), this
.getWidth());
}
/**
* @return The width of the function.
*/
private double getWidth() {
return this.getParams()[ActivationGaussian.PARAM_GAUSSIAN_WIDTH];
}
/**
* @return The center of the function.
*/
private double getCenter() {
return this.getParams()[ActivationGaussian.PARAM_GAUSSIAN_CENTER];
}
/**
* @return The peak of the function.
*/
private double getPeak() {
return this.getParams()[ActivationGaussian.PARAM_GAUSSIAN_PEAK];
}
/**
* @return Return true, gaussian has a derivative.
*/
public boolean hasDerivative() {
return true;
}
/**
* {@inheritDoc}
*/
@Override
public void activationFunction(final double[] x, final int start,
final int size) {
for (int i = start; i < start+size ; i++) {
x[i] = params[ActivationGaussian.PARAM_GAUSSIAN_PEAK]
* BoundMath.exp(-Math.pow(x[i]
- params[ActivationGaussian.PARAM_GAUSSIAN_CENTER],2)
/ (2.0 * params[ActivationGaussian.PARAM_GAUSSIAN_WIDTH] * params[ActivationGaussian.PARAM_GAUSSIAN_WIDTH]));
}
}
/**
* {@inheritDoc}
*/
@Override
public double derivativeFunction(final double x) {
final double width = params[ActivationGaussian.PARAM_GAUSSIAN_WIDTH];
final double peak = params[ActivationGaussian.PARAM_GAUSSIAN_PEAK];
return Math.exp(-0.5 * width * width * x * x) * peak * width * width
* (width * width * x * x - 1);
}
/**
* {@inheritDoc}
*/
@Override
public String[] getParamNames() {
final String[] result = { "center", "peak", "width" };
return result;
}
/**
* {@inheritDoc}
*/
@Override
public double[] getParams() {
return params;
}
/**
* {@inheritDoc}
*/
@Override
public void setParam(final int index, final double value) {
this.params[index] = value;
}
/**
* {@inheritDoc}
*/
@Override
public String getOpenCLExpression(final boolean derivative) {
return null;
}
}