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Diffstat (limited to 'src/de/lmu/ifi/dbs/elki/math/statistics/kernelfunctions/TriangularKernelDensityFunction.java')
-rw-r--r-- | src/de/lmu/ifi/dbs/elki/math/statistics/kernelfunctions/TriangularKernelDensityFunction.java | 96 |
1 files changed, 96 insertions, 0 deletions
diff --git a/src/de/lmu/ifi/dbs/elki/math/statistics/kernelfunctions/TriangularKernelDensityFunction.java b/src/de/lmu/ifi/dbs/elki/math/statistics/kernelfunctions/TriangularKernelDensityFunction.java new file mode 100644 index 00000000..c6acf031 --- /dev/null +++ b/src/de/lmu/ifi/dbs/elki/math/statistics/kernelfunctions/TriangularKernelDensityFunction.java @@ -0,0 +1,96 @@ +package de.lmu.ifi.dbs.elki.math.statistics.kernelfunctions; + +/* + This file is part of ELKI: + Environment for Developing KDD-Applications Supported by Index-Structures + + Copyright (C) 2013 + 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.utilities.optionhandling.AbstractParameterizer; + +/** + * Triangular kernel density estimator. + * + * @author Erich Schubert + */ +public final class TriangularKernelDensityFunction implements KernelDensityFunction { + /** + * Static instance. + */ + public static final TriangularKernelDensityFunction KERNEL = new TriangularKernelDensityFunction(); + + /** + * Canonical bandwidth. + * + * Computed as (R / STDDEV^4)^(1/5) + */ + public static final double CANONICAL_BANDWIDTH = Math.pow(24., .2); + + /** + * Standard deviation. + */ + private static final double STDDEV = 1. / Math.sqrt(6.); + + /** + * R constant. + */ + private static final double R = 2. / 3.; + + /** + * Private, empty constructor. Use the static instance! + */ + private TriangularKernelDensityFunction() { + // Nothing to do. + } + + @Override + public double density(double delta) { + return (delta < 1.) ? 1. - delta : 0.; + } + + @Override + public double canonicalBandwidth() { + return CANONICAL_BANDWIDTH; + } + + @Override + public double standardDeviation() { + return STDDEV; + } + + @Override + public double getR() { + return R; + } + + /** + * Parameterization stub. + * + * @author Erich Schubert + * + * @apiviz.exclude + */ + public static class Parameterizer extends AbstractParameterizer { + @Override + protected TriangularKernelDensityFunction makeInstance() { + return KERNEL; + } + } +} |