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diff --git a/elki/src/main/java/de/lmu/ifi/dbs/elki/distance/similarityfunction/kernel/RationalQuadraticKernelFunction.java b/elki/src/main/java/de/lmu/ifi/dbs/elki/distance/similarityfunction/kernel/RationalQuadraticKernelFunction.java
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+package de.lmu.ifi.dbs.elki.distance.similarityfunction.kernel;
+
+/*
+ This file is part of ELKI:
+ Environment for Developing KDD-Applications Supported by Index-Structures
+
+ Copyright (C) 2015
+ Ludwig-Maximilians-Universität München
+ Lehr- und Forschungseinheit für Datenbanksysteme
+ ELKI Development Team
+
+ 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/>.
+ */
+
+import de.lmu.ifi.dbs.elki.data.NumberVector;
+import de.lmu.ifi.dbs.elki.distance.distancefunction.AbstractNumberVectorDistanceFunction;
+import de.lmu.ifi.dbs.elki.distance.similarityfunction.AbstractVectorSimilarityFunction;
+import de.lmu.ifi.dbs.elki.utilities.optionhandling.AbstractParameterizer;
+import de.lmu.ifi.dbs.elki.utilities.optionhandling.OptionID;
+import de.lmu.ifi.dbs.elki.utilities.optionhandling.constraints.CommonConstraints;
+import de.lmu.ifi.dbs.elki.utilities.optionhandling.parameterization.Parameterization;
+import de.lmu.ifi.dbs.elki.utilities.optionhandling.parameters.DoubleParameter;
+
+/**
+ * Rational quadratic kernel, a less computational approximation of the Gaussian
+ * RBF kernel ({@link RadialBasisFunctionKernelFunction}).
+ *
+ * @author Erich Schubert
+ */
+public class RationalQuadraticKernelFunction extends AbstractVectorSimilarityFunction {
+ /**
+ * Constant term c.
+ */
+ private final double c;
+
+ /**
+ * Constructor.
+ *
+ * @param c Constant term c.
+ */
+ public RationalQuadraticKernelFunction(double c) {
+ super();
+ this.c = c;
+ }
+
+ @Override
+ public double similarity(NumberVector o1, NumberVector o2) {
+ final int dim = AbstractNumberVectorDistanceFunction.dimensionality(o1, o2);
+ double sim = 0.;
+ for(int i = 0; i < dim; i++) {
+ final double v = o1.doubleValue(i) - o2.doubleValue(i);
+ sim += v * v;
+ }
+ return 1. - sim / (sim + c);
+ }
+
+ /**
+ * Parameterization class.
+ *
+ * @author Erich Schubert
+ *
+ * @apiviz.exclude
+ */
+ public static class Parameterizer extends AbstractParameterizer {
+ /**
+ * C parameter
+ */
+ public static final OptionID C_ID = new OptionID("kernel.rationalquadratic.c", "Constant term in the rational quadratic kernel.");
+
+ /**
+ * C parameter
+ */
+ protected double c = 1.;
+
+ @Override
+ protected void makeOptions(Parameterization config) {
+ super.makeOptions(config);
+ final DoubleParameter cP = new DoubleParameter(C_ID, 1.);
+ cP.addConstraint(CommonConstraints.GREATER_THAN_ZERO_DOUBLE);
+ if(config.grab(cP)) {
+ c = cP.doubleValue();
+ }
+ }
+
+ @Override
+ protected RationalQuadraticKernelFunction makeInstance() {
+ return new RationalQuadraticKernelFunction(c);
+ }
+ }
+}