/* * 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; } }