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+package de.lmu.ifi.dbs.elki.datasource.filter.normalization.instancewise;
+
+/*
+ This file is part of ELKI:
+ Environment for Developing KDD-Applications Supported by Index-Structures
+
+ Copyright (C) 2014
+ 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.data.type.SimpleTypeInformation;
+import de.lmu.ifi.dbs.elki.data.type.TypeUtil;
+import de.lmu.ifi.dbs.elki.datasource.filter.normalization.AbstractStreamNormalization;
+import de.lmu.ifi.dbs.elki.utilities.Alias;
+import de.lmu.ifi.dbs.elki.utilities.optionhandling.AbstractParameterizer;
+
+/**
+ * Normalize histograms by scaling them to L1 norm 1, then taking the square
+ * root in each attribute.
+ *
+ * Using Euclidean distance (linear kernel) and this transformation is the same
+ * as using Hellinger distance:
+ * {@link de.lmu.ifi.dbs.elki.distance.distancefunction.probabilistic.HellingerDistanceFunction}
+ *
+ * @author Erich Schubert
+ *
+ * @param <V> vector type
+ */
+@Alias({ "de.lmu.ifi.dbs.elki.datasource.filter.normalization.HellingerHistogramNormalization" })
+public class HellingerHistogramNormalization<V extends NumberVector> extends AbstractStreamNormalization<V> {
+ /**
+ * Static instance.
+ */
+ public static final HellingerHistogramNormalization<NumberVector> STATIC = new HellingerHistogramNormalization<>();
+
+ /**
+ * Constructor.
+ */
+ public HellingerHistogramNormalization() {
+ super();
+ }
+
+ @Override
+ protected V filterSingleObject(V featureVector) {
+ double[] data = new double[featureVector.getDimensionality()];
+ double sum = 0.;
+ for(int d = 0; d < data.length; ++d) {
+ data[d] = featureVector.doubleValue(d);
+ data[d] = data[d] > 0 ? data[d] : -data[d];
+ sum += data[d];
+ }
+ // Normalize and sqrt:
+ if(sum > 0.) {
+ for(int d = 0; d < data.length; ++d) {
+ if(data[d] > 0) {
+ data[d] = Math.sqrt(data[d] / sum);
+ }
+ }
+ }
+ return factory.newNumberVector(data);
+ }
+
+ @Override
+ protected SimpleTypeInformation<? super V> getInputTypeRestriction() {
+ return TypeUtil.NUMBER_VECTOR_VARIABLE_LENGTH;
+ }
+
+ /**
+ * Parameterization class.
+ *
+ * @author Erich Schubert
+ *
+ * @apiviz.exclude
+ */
+ public static class Parameterizer extends AbstractParameterizer {
+ @Override
+ protected HellingerHistogramNormalization<NumberVector> makeInstance() {
+ return STATIC;
+ }
+ }
+} \ No newline at end of file