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+package de.lmu.ifi.dbs.elki.algorithm.clustering.kmeans;
+
+/*
+ This file is part of ELKI:
+ Environment for Developing KDD-Applications Supported by Index-Structures
+
+ Copyright (C) 2012
+ 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 java.util.ArrayList;
+import java.util.List;
+
+import de.lmu.ifi.dbs.elki.algorithm.AbstractPrimitiveDistanceBasedAlgorithm;
+import de.lmu.ifi.dbs.elki.algorithm.clustering.ClusteringAlgorithm;
+import de.lmu.ifi.dbs.elki.data.Cluster;
+import de.lmu.ifi.dbs.elki.data.Clustering;
+import de.lmu.ifi.dbs.elki.data.NumberVector;
+import de.lmu.ifi.dbs.elki.data.model.MeanModel;
+import de.lmu.ifi.dbs.elki.database.Database;
+import de.lmu.ifi.dbs.elki.database.ids.DBIDUtil;
+import de.lmu.ifi.dbs.elki.database.ids.ModifiableDBIDs;
+import de.lmu.ifi.dbs.elki.database.relation.Relation;
+import de.lmu.ifi.dbs.elki.distance.distancefunction.PrimitiveDistanceFunction;
+import de.lmu.ifi.dbs.elki.distance.distancevalue.Distance;
+import de.lmu.ifi.dbs.elki.logging.Logging;
+import de.lmu.ifi.dbs.elki.utilities.DatabaseUtil;
+import de.lmu.ifi.dbs.elki.utilities.documentation.Reference;
+import de.lmu.ifi.dbs.elki.utilities.documentation.Title;
+import de.lmu.ifi.dbs.elki.utilities.optionhandling.constraints.GreaterConstraint;
+import de.lmu.ifi.dbs.elki.utilities.optionhandling.constraints.GreaterEqualConstraint;
+import de.lmu.ifi.dbs.elki.utilities.optionhandling.parameterization.Parameterization;
+import de.lmu.ifi.dbs.elki.utilities.optionhandling.parameters.IntParameter;
+import de.lmu.ifi.dbs.elki.utilities.optionhandling.parameters.ObjectParameter;
+
+/**
+ * Provides the k-medians clustering algorithm, using Lloyd-style bulk
+ * iterations.
+ *
+ * Reference:
+ * <p>
+ * Clustering via Concave Minimization<br />
+ * P. S. Bradley, O. L. Mangasarian, W. N. Street<br />
+ * in: Advances in neural information processing systems
+ * </p>
+ *
+ * @author Erich Schubert
+ *
+ * @apiviz.has MeanModel
+ *
+ * @param <V> vector datatype
+ * @param <D> distance value type
+ */
+@Title("K-Medians")
+@Reference(title = "Clustering via Concave Minimization", authors = "P. S. Bradley, O. L. Mangasarian, W. N. Street", booktitle = "Advances in neural information processing systems", url="http://nips.djvuzone.org/djvu/nips09/0368.djvu")
+public class KMediansLloyd<V extends NumberVector<V, ?>, D extends Distance<D>> extends AbstractKMeans<V, D> implements ClusteringAlgorithm<Clustering<MeanModel<V>>> {
+ /**
+ * The logger for this class.
+ */
+ private static final Logging logger = Logging.getLogger(KMediansLloyd.class);
+
+ /**
+ * Constructor.
+ *
+ * @param distanceFunction distance function
+ * @param k k parameter
+ * @param maxiter Maxiter parameter
+ */
+ public KMediansLloyd(PrimitiveDistanceFunction<NumberVector<?, ?>, D> distanceFunction, int k, int maxiter, KMeansInitialization<V> initializer) {
+ super(distanceFunction, k, maxiter, initializer);
+ }
+
+ /**
+ * Run k-medians
+ *
+ * @param database Database
+ * @param relation relation to use
+ * @return result
+ */
+ public Clustering<MeanModel<V>> run(Database database, Relation<V> relation) {
+ if(relation.size() <= 0) {
+ return new Clustering<MeanModel<V>>("k-Medians Clustering", "kmedians-clustering");
+ }
+ // Choose initial medians
+ List<? extends NumberVector<?, ?>> medians = initializer.chooseInitialMeans(relation, k, getDistanceFunction());
+ // Setup cluster assignment store
+ List<ModifiableDBIDs> clusters = new ArrayList<ModifiableDBIDs>();
+ for(int i = 0; i < k; i++) {
+ clusters.add(DBIDUtil.newHashSet(relation.size() / k));
+ }
+
+ for(int iteration = 0; maxiter <= 0 || iteration < maxiter; iteration++) {
+ if(logger.isVerbose()) {
+ logger.verbose("K-Medians iteration " + (iteration + 1));
+ }
+ boolean changed = assignToNearestCluster(relation, medians, clusters);
+ // Stop if no cluster assignment changed.
+ if(!changed) {
+ break;
+ }
+ // Recompute medians.
+ medians = medians(clusters, medians, relation);
+ }
+ // Wrap result
+ final V factory = DatabaseUtil.assumeVectorField(relation).getFactory();
+ Clustering<MeanModel<V>> result = new Clustering<MeanModel<V>>("k-Medians Clustering", "kmedians-clustering");
+ for(int i = 0; i < clusters.size(); i++) {
+ MeanModel<V> model = new MeanModel<V>(factory.newNumberVector(medians.get(i).getColumnVector().getArrayRef()));
+ result.addCluster(new Cluster<MeanModel<V>>(clusters.get(i), model));
+ }
+ return result;
+ }
+
+ @Override
+ protected Logging getLogger() {
+ return logger;
+ }
+
+ /**
+ * Parameterization class.
+ *
+ * @author Erich Schubert
+ *
+ * @apiviz.exclude
+ */
+ public static class Parameterizer<V extends NumberVector<V, ?>, D extends Distance<D>> extends AbstractPrimitiveDistanceBasedAlgorithm.Parameterizer<NumberVector<?, ?>, D> {
+ protected int k;
+
+ protected int maxiter;
+
+ protected KMeansInitialization<V> initializer;
+
+ @Override
+ protected void makeOptions(Parameterization config) {
+ super.makeOptions(config);
+ IntParameter kP = new IntParameter(K_ID, new GreaterConstraint(0));
+ if(config.grab(kP)) {
+ k = kP.getValue();
+ }
+
+ ObjectParameter<KMeansInitialization<V>> initialP = new ObjectParameter<KMeansInitialization<V>>(INIT_ID, KMeansInitialization.class, RandomlyGeneratedInitialMeans.class);
+ if(config.grab(initialP)) {
+ initializer = initialP.instantiateClass(config);
+ }
+
+ IntParameter maxiterP = new IntParameter(MAXITER_ID, new GreaterEqualConstraint(0), 0);
+ if(config.grab(maxiterP)) {
+ maxiter = maxiterP.getValue();
+ }
+ }
+
+ @Override
+ protected AbstractKMeans<V, D> makeInstance() {
+ return new KMediansLloyd<V, D>(distanceFunction, k, maxiter, initializer);
+ }
+ }
+} \ No newline at end of file