📄 simplekmeans.java
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/*
* This program is free software; you can redistribute it and/or modify
* it under the terms of the GNU General Public License as published by
* the Free Software Foundation; either version 2 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 General Public License for more details.
*
* You should have received a copy of the GNU General Public License
* along with this program; if not, write to the Free Software
* Foundation, Inc., 675 Mass Ave, Cambridge, MA 02139, USA.
*/
/*
* SimpleKMeans.java
* Copyright (C) 2000 Mark Hall
*
*/
package weka.clusterers;
import java.io.*;
import java.util.*;
import weka.core.*;
import weka.filters.Filter;
import weka.filters.unsupervised.attribute.ReplaceMissingValues;
import weka.experiment.Stats;
import weka.classifiers.rules.DecisionTable;
/**
* Simple k means clustering class.
*
* Valid options are:<p>
*
* -N <number of clusters> <br>
* Specify the number of clusters to generate. <p>
*
* -S <seed> <br>
* Specify random number seed. <p>
*
* @author Mark Hall (mhall@cs.waikato.ac.nz)
* @author Eibe Frank (eibe@cs.waikato.ac.nz)
* @version $Revision: 1.1 $
* @see Clusterer
* @see OptionHandler
*/
public class SimpleKMeans extends Clusterer
implements NumberOfClustersRequestable,
OptionHandler, WeightedInstancesHandler {
/**
* replace missing values in training instances
*/
private ReplaceMissingValues m_ReplaceMissingFilter;
/**
* number of clusters to generate
*/
private int m_NumClusters = 2;
/**
* holds the cluster centroids
*/
private Instances m_ClusterCentroids;
/**
* Holds the standard deviations of the numeric attributes in each cluster
*/
private Instances m_ClusterStdDevs;
/**
* For each cluster, holds the frequency counts for the values of each
* nominal attribute
*/
private int [][][] m_ClusterNominalCounts;
/**
* The number of instances in each cluster
*/
private int [] m_ClusterSizes;
/**
* random seed
*/
private int m_Seed = 10;
/**
* attribute min values
*/
private double [] m_Min;
/**
* attribute max values
*/
private double [] m_Max;
/**
* Keep track of the number of iterations completed before convergence
*/
private int m_Iterations = 0;
private double [] m_squaredErrors;
/**
* Returns a string describing this clusterer
* @return a description of the evaluator suitable for
* displaying in the explorer/experimenter gui
*/
public String globalInfo() {
return "Cluster data using the k means algorithm";
}
/**
* Generates a clusterer. Has to initialize all fields of the clusterer
* that are not being set via options.
*
* @param data set of instances serving as training data
* @exception Exception if the clusterer has not been
* generated successfully
*/
public void buildClusterer(Instances data) throws Exception {
m_Iterations = 0;
if (data.checkForStringAttributes()) {
throw new Exception("Can't handle string attributes!");
}
m_ReplaceMissingFilter = new ReplaceMissingValues();
Instances instances = new Instances(data);
instances.setClassIndex(-1);
m_ReplaceMissingFilter.setInputFormat(instances);
instances = Filter.useFilter(instances, m_ReplaceMissingFilter);
m_Min = new double [instances.numAttributes()];
m_Max = new double [instances.numAttributes()];
for (int i = 0; i < instances.numAttributes(); i++) {
m_Min[i] = m_Max[i] = Double.NaN;
}
m_ClusterCentroids = new Instances(instances, m_NumClusters);
int[] clusterAssignments = new int [instances.numInstances()];
for (int i = 0; i < instances.numInstances(); i++) {
updateMinMax(instances.instance(i));
}
Random RandomO = new Random(m_Seed);
int instIndex;
HashMap initC = new HashMap();
DecisionTable.hashKey hk = null;
for (int j = instances.numInstances() - 1; j >= 0; j--) {
instIndex = RandomO.nextInt(j+1);
hk = new DecisionTable.hashKey(instances.instance(instIndex),
instances.numAttributes(), true);
if (!initC.containsKey(hk)) {
m_ClusterCentroids.add(instances.instance(instIndex));
initC.put(hk, null);
}
instances.swap(j, instIndex);
if (m_ClusterCentroids.numInstances() == m_NumClusters) {
break;
}
}
m_NumClusters = m_ClusterCentroids.numInstances();
int i;
boolean converged = false;
int emptyClusterCount;
Instances [] tempI = new Instances[m_NumClusters];
m_squaredErrors = new double [m_NumClusters];
m_ClusterNominalCounts = new int [m_NumClusters][instances.numAttributes()][0];
while (!converged) {
emptyClusterCount = 0;
m_Iterations++;
converged = true;
for (i = 0; i < instances.numInstances(); i++) {
Instance toCluster = instances.instance(i);
int newC = clusterProcessedInstance(toCluster, true);
if (newC != clusterAssignments[i]) {
converged = false;
}
clusterAssignments[i] = newC;
}
// update centroids
m_ClusterCentroids = new Instances(instances, m_NumClusters);
for (i = 0; i < m_NumClusters; i++) {
tempI[i] = new Instances(instances, 0);
}
for (i = 0; i < instances.numInstances(); i++) {
tempI[clusterAssignments[i]].add(instances.instance(i));
}
for (i = 0; i < m_NumClusters; i++) {
double [] vals = new double[instances.numAttributes()];
if (tempI[i].numInstances() == 0) {
// empty cluster
emptyClusterCount++;
} else {
for (int j = 0; j < instances.numAttributes(); j++) {
vals[j] = tempI[i].meanOrMode(j);
m_ClusterNominalCounts[i][j] =
tempI[i].attributeStats(j).nominalCounts;
}
m_ClusterCentroids.add(new Instance(1.0, vals));
}
}
if (emptyClusterCount > 0) {
m_NumClusters -= emptyClusterCount;
tempI = new Instances[m_NumClusters];
}
if (!converged) {
m_squaredErrors = new double [m_NumClusters];
m_ClusterNominalCounts = new int [m_NumClusters][instances.numAttributes()][0];
}
}
m_ClusterStdDevs = new Instances(instances, m_NumClusters);
m_ClusterSizes = new int [m_NumClusters];
for (i = 0; i < m_NumClusters; i++) {
double [] vals2 = new double[instances.numAttributes()];
for (int j = 0; j < instances.numAttributes(); j++) {
if (instances.attribute(j).isNumeric()) {
vals2[j] = Math.sqrt(tempI[i].variance(j));
} else {
vals2[j] = Instance.missingValue();
}
}
m_ClusterStdDevs.add(new Instance(1.0, vals2));
m_ClusterSizes[i] = tempI[i].numInstances();
}
}
/**
* clusters an instance that has been through the filters
*
* @param instance the instance to assign a cluster to
* @param updateErrors if true, update the within clusters sum of errors
* @return a cluster number
*/
private int clusterProcessedInstance(Instance instance, boolean updateErrors) {
double minDist = Integer.MAX_VALUE;
int bestCluster = 0;
for (int i = 0; i < m_NumClusters; i++) {
double dist = distance(instance, m_ClusterCentroids.instance(i));
if (dist < minDist) {
minDist = dist;
bestCluster = i;
}
}
if (updateErrors) {
m_squaredErrors[bestCluster] += minDist;
}
return bestCluster;
}
/**
* Classifies a given instance.
*
* @param instance the instance to be assigned to a cluster
* @return the number of the assigned cluster as an interger
* if the class is enumerated, otherwise the predicted value
* @exception Exception if instance could not be classified
* successfully
*/
public int clusterInstance(Instance instance) throws Exception {
m_ReplaceMissingFilter.input(instance);
m_ReplaceMissingFilter.batchFinished();
Instance inst = m_ReplaceMissingFilter.output();
return clusterProcessedInstance(inst, false);
}
/**
* Calculates the distance between two instances
*
* @param test the first instance
* @param train the second instance
* @return the distance between the two given instances, between 0 and 1
*/
private double distance(Instance first, Instance second) {
double distance = 0;
int firstI, secondI;
for (int p1 = 0, p2 = 0;
p1 < first.numValues() || p2 < second.numValues();) {
if (p1 >= first.numValues()) {
firstI = m_ClusterCentroids.numAttributes();
} else {
firstI = first.index(p1);
}
if (p2 >= second.numValues()) {
secondI = m_ClusterCentroids.numAttributes();
} else {
secondI = second.index(p2);
}
/* if (firstI == m_ClusterCentroids.classIndex()) {
p1++; continue;
}
if (secondI == m_ClusterCentroids.classIndex()) {
p2++; continue;
} */
double diff;
if (firstI == secondI) {
diff = difference(firstI,
first.valueSparse(p1),
second.valueSparse(p2));
p1++; p2++;
} else if (firstI > secondI) {
diff = difference(secondI,
0, second.valueSparse(p2));
p2++;
} else {
diff = difference(firstI,
first.valueSparse(p1), 0);
p1++;
}
distance += diff * diff;
}
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