use of de.lmu.ifi.dbs.elki.result.EvaluationResult in project elki by elki-project.
the class EvaluateCIndex method evaluateClustering.
/**
* Evaluate a single clustering.
*
* @param db Database
* @param rel Data relation
* @param c Clustering
* @return C-Index
*/
public double evaluateClustering(Database db, Relation<? extends O> rel, DistanceQuery<O> dq, Clustering<?> c) {
List<? extends Cluster<?>> clusters = c.getAllClusters();
// Count ignored noise, and within-cluster distances
int ignorednoise = 0, w = 0;
for (Cluster<?> cluster : clusters) {
if (cluster.size() <= 1 || cluster.isNoise()) {
switch(noiseOption) {
case IGNORE_NOISE:
ignorednoise += cluster.size();
// Ignore
continue;
case TREAT_NOISE_AS_SINGLETONS:
// No within-cluster distances!
continue;
case MERGE_NOISE:
// Treat like a cluster
break;
default:
LOG.warning("Unknown noise handling option: " + noiseOption);
}
}
w += (cluster.size() * (cluster.size() - 1)) >>> 1;
}
// TODO: for small k=2, and balanced clusters, it may be more efficient to
// just build a long array with all distances, and select the quantiles.
// The heaps used below pay off in memory consumption for k > 2
// Yes, maxDists is supposed to be a min heap, and the other way.
// Because we want to replace the smallest of the current k-largest
// distances.
DoubleHeap maxDists = new DoubleMinHeap(w);
DoubleHeap minDists = new DoubleMaxHeap(w);
// Sum of within-cluster distances
double theta = 0.;
FiniteProgress prog = LOG.isVerbose() ? new FiniteProgress("Processing clusters for C-Index", clusters.size(), LOG) : null;
for (int i = 0; i < clusters.size(); i++) {
Cluster<?> cluster = clusters.get(i);
if (cluster.size() <= 1 || cluster.isNoise()) {
switch(noiseOption) {
case IGNORE_NOISE:
LOG.incrementProcessed(prog);
// Ignore
continue;
case TREAT_NOISE_AS_SINGLETONS:
processSingleton(cluster, rel, dq, maxDists, minDists, w);
LOG.incrementProcessed(prog);
continue;
case MERGE_NOISE:
// Treat like a cluster, below
break;
}
}
theta += processCluster(cluster, clusters, i, dq, maxDists, minDists, w);
LOG.incrementProcessed(prog);
}
LOG.ensureCompleted(prog);
// Simulate best and worst cases:
// Sum of largest and smallest
double min = 0, max = 0;
assert (minDists.size() == w);
assert (maxDists.size() == w);
for (DoubleHeap.UnsortedIter it = minDists.unsortedIter(); it.valid(); it.advance()) {
min += it.get();
}
for (DoubleHeap.UnsortedIter it = maxDists.unsortedIter(); it.valid(); it.advance()) {
max += it.get();
}
assert (max >= min);
double cIndex = (max > min) ? (theta - min) / (max - min) : 1.;
if (LOG.isStatistics()) {
LOG.statistics(new StringStatistic(key + ".c-index.noise-handling", noiseOption.toString()));
if (ignorednoise > 0) {
LOG.statistics(new LongStatistic(key + ".c-index.ignored", ignorednoise));
}
LOG.statistics(new DoubleStatistic(key + ".c-index", cIndex));
}
EvaluationResult ev = EvaluationResult.findOrCreate(db.getHierarchy(), c, "Internal Clustering Evaluation", "internal evaluation");
MeasurementGroup g = ev.findOrCreateGroup("Distance-based Evaluation");
g.addMeasure("C-Index", cIndex, 0., 1., 0., true);
db.getHierarchy().resultChanged(ev);
return cIndex;
}
use of de.lmu.ifi.dbs.elki.result.EvaluationResult in project elki by elki-project.
the class EvaluateDBCV method evaluateClustering.
/**
* Evaluate a single clustering.
*
* @param db Database
* @param rel Data relation
* @param cl Clustering
*
* @return dbcv DBCV-index
*/
public double evaluateClustering(Database db, Relation<O> rel, Clustering<?> cl) {
final DistanceQuery<O> dq = rel.getDistanceQuery(distanceFunction);
List<? extends Cluster<?>> clusters = cl.getAllClusters();
final int numc = clusters.size();
// DBCV needs a "dimensionality".
@SuppressWarnings("unchecked") final Relation<? extends SpatialComparable> vrel = (Relation<? extends SpatialComparable>) rel;
final int dim = RelationUtil.dimensionality(vrel);
// precompute all core distances
ArrayDBIDs[] cids = new ArrayDBIDs[numc];
double[][] coreDists = new double[numc][];
for (int c = 0; c < numc; c++) {
Cluster<?> cluster = clusters.get(c);
// Singletons are considered as Noise, because they have no sparseness
if (cluster.isNoise() || cluster.size() < 2) {
coreDists[c] = null;
continue;
}
// Store for use below:
ArrayDBIDs ids = cids[c] = DBIDUtil.ensureArray(cluster.getIDs());
double[] clusterCoreDists = coreDists[c] = new double[ids.size()];
for (DBIDArrayIter it = ids.iter(), it2 = ids.iter(); it.valid(); it.advance()) {
double currentCoreDist = 0;
int neighbors = 0;
for (it2.seek(0); it2.valid(); it2.advance()) {
if (DBIDUtil.equal(it, it2)) {
continue;
}
double dist = dq.distance(it, it2);
// We ignore such objects.
if (dist > 0) {
currentCoreDist += MathUtil.powi(1. / dist, dim);
++neighbors;
}
}
// Average, and undo power.
clusterCoreDists[it.getOffset()] = FastMath.pow(currentCoreDist / neighbors, -1. / dim);
}
}
// compute density sparseness of all clusters
int[][] clusterDegrees = new int[numc][];
double[] clusterDscMax = new double[numc];
// describes if a cluster contains any internal edges
boolean[] internalEdges = new boolean[numc];
for (int c = 0; c < numc; c++) {
Cluster<?> cluster = clusters.get(c);
if (cluster.isNoise() || cluster.size() < 2) {
clusterDegrees[c] = null;
clusterDscMax[c] = Double.NaN;
continue;
}
double[] clusterCoreDists = coreDists[c];
ArrayDBIDs ids = cids[c];
// Density Sparseness of the Cluster
double dscMax = 0;
double[][] distances = new double[cluster.size()][cluster.size()];
// create mutability distance matrix for Minimum Spanning Tree
for (DBIDArrayIter it = ids.iter(), it2 = ids.iter(); it.valid(); it.advance()) {
double currentCoreDist = clusterCoreDists[it.getOffset()];
for (it2.seek(it.getOffset() + 1); it2.valid(); it2.advance()) {
double mutualReachDist = MathUtil.max(currentCoreDist, clusterCoreDists[it2.getOffset()], dq.distance(it, it2));
distances[it.getOffset()][it2.getOffset()] = mutualReachDist;
distances[it2.getOffset()][it.getOffset()] = mutualReachDist;
}
}
// generate Minimum Spanning Tree
int[] nodes = PrimsMinimumSpanningTree.processDense(distances);
// get degree of all nodes in the spanning tree
int[] degree = new int[cluster.size()];
for (int i = 0; i < nodes.length; i++) {
degree[nodes[i]]++;
}
// check if cluster contains any internal edges
for (int i = 0; i < nodes.length; i += 2) {
if (degree[nodes[i]] > 1 && degree[nodes[i + 1]] > 1) {
internalEdges[c] = true;
}
}
clusterDegrees[c] = degree;
// find maximum sparseness in the Minimum Spanning Tree
for (int i = 0; i < nodes.length; i = i + 2) {
final int n1 = nodes[i], n2 = nodes[i + 1];
// If a cluster has no internal nodes we consider all edges.
if (distances[n1][n2] > dscMax && (!internalEdges[c] || (degree[n1] > 1 && degree[n2] > 1))) {
dscMax = distances[n1][n2];
}
}
clusterDscMax[c] = dscMax;
}
// compute density separation of all clusters
double dbcv = 0;
for (int c = 0; c < numc; c++) {
Cluster<?> cluster = clusters.get(c);
if (cluster.isNoise() || cluster.size() < 2) {
continue;
}
double currentDscMax = clusterDscMax[c];
double[] clusterCoreDists = coreDists[c];
int[] currentDegree = clusterDegrees[c];
// minimal Density Separation of the Cluster
double dspcMin = Double.POSITIVE_INFINITY;
for (DBIDArrayIter it = cids[c].iter(); it.valid(); it.advance()) {
// nodes.
if (currentDegree[it.getOffset()] < 2 && internalEdges[c]) {
continue;
}
double currentCoreDist = clusterCoreDists[it.getOffset()];
for (int oc = 0; oc < numc; oc++) {
Cluster<?> ocluster = clusters.get(oc);
if (ocluster.isNoise() || ocluster.size() < 2 || cluster == ocluster) {
continue;
}
int[] oDegree = clusterDegrees[oc];
double[] oclusterCoreDists = coreDists[oc];
for (DBIDArrayIter it2 = cids[oc].iter(); it2.valid(); it2.advance()) {
if (oDegree[it2.getOffset()] < 2 && internalEdges[oc]) {
continue;
}
double mutualReachDist = MathUtil.max(currentCoreDist, oclusterCoreDists[it2.getOffset()], dq.distance(it, it2));
dspcMin = mutualReachDist < dspcMin ? mutualReachDist : dspcMin;
}
}
}
// compute DBCV
double vc = (dspcMin - currentDscMax) / MathUtil.max(dspcMin, currentDscMax);
double weight = cluster.size() / (double) rel.size();
dbcv += weight * vc;
}
EvaluationResult ev = EvaluationResult.findOrCreate(db.getHierarchy(), cl, "Internal Clustering Evaluation", "internal evaluation");
MeasurementGroup g = ev.findOrCreateGroup("Distance-based Evaluation");
g.addMeasure("Density Based Clustering Validation", dbcv, 0., Double.POSITIVE_INFINITY, 0., true);
db.getHierarchy().resultChanged(ev);
return dbcv;
}
use of de.lmu.ifi.dbs.elki.result.EvaluationResult in project elki by elki-project.
the class EvaluatePBMIndex method evaluateClustering.
/**
* Evaluate a single clustering.
*
* @param db Database
* @param rel Data relation
* @param c Clustering
* @return PBM
*/
public double evaluateClustering(Database db, Relation<? extends NumberVector> rel, Clustering<?> c) {
List<? extends Cluster<?>> clusters = c.getAllClusters();
NumberVector[] centroids = new NumberVector[clusters.size()];
int ignorednoise = EvaluateSimplifiedSilhouette.centroids(rel, clusters, centroids, noiseHandling);
// Build global centroid and cluster count:
final int dim = RelationUtil.dimensionality(rel);
Centroid overallCentroid = new Centroid(dim);
EvaluateVarianceRatioCriteria.globalCentroid(overallCentroid, rel, clusters, centroids, noiseHandling);
// Maximum distance between centroids:
double max = 0;
for (int i = 0; i < centroids.length; i++) {
if (centroids[i] == null && noiseHandling != NoiseHandling.TREAT_NOISE_AS_SINGLETONS) {
continue;
}
for (int j = i + 1; j < centroids.length; j++) {
if (centroids[j] == null && noiseHandling != NoiseHandling.TREAT_NOISE_AS_SINGLETONS) {
continue;
}
if (centroids[i] == null && centroids[j] == null) {
// Need to compute pairwise distances of noise clusters.
for (DBIDIter iti = clusters.get(i).getIDs().iter(); iti.valid(); iti.advance()) {
for (DBIDIter itj = clusters.get(j).getIDs().iter(); itj.valid(); itj.advance()) {
double dist = distanceFunction.distance(rel.get(iti), rel.get(itj));
max = dist > max ? dist : max;
}
}
} else if (centroids[i] == null) {
for (DBIDIter iti = clusters.get(i).getIDs().iter(); iti.valid(); iti.advance()) {
double dist = distanceFunction.distance(rel.get(iti), centroids[j]);
max = dist > max ? dist : max;
}
} else if (centroids[j] == null) {
for (DBIDIter itj = clusters.get(j).getIDs().iter(); itj.valid(); itj.advance()) {
double dist = distanceFunction.distance(centroids[i], rel.get(itj));
max = dist > max ? dist : max;
}
} else {
double dist = distanceFunction.distance(centroids[i], centroids[j]);
max = dist > max ? dist : max;
}
}
}
// a: Distance to own centroid
// b: Distance to overall centroid
double a = 0, b = 0;
Iterator<? extends Cluster<?>> ci = clusters.iterator();
for (int i = 0; ci.hasNext(); i++) {
Cluster<?> cluster = ci.next();
if (cluster.size() <= 1 || cluster.isNoise()) {
switch(noiseHandling) {
case IGNORE_NOISE:
// Ignored
continue;
case TREAT_NOISE_AS_SINGLETONS:
// Singletons: a = 0 by definition.
for (DBIDIter it = cluster.getIDs().iter(); it.valid(); it.advance()) {
b += SquaredEuclideanDistanceFunction.STATIC.distance(overallCentroid, rel.get(it));
}
// with NEXT cluster.
continue;
case MERGE_NOISE:
// Treat like a cluster below:
break;
}
}
for (DBIDIter it = cluster.getIDs().iter(); it.valid(); it.advance()) {
NumberVector obj = rel.get(it);
a += distanceFunction.distance(centroids[i], obj);
b += distanceFunction.distance(overallCentroid, obj);
}
}
final double pbm = FastMath.pow((1. / centroids.length) * (b / a) * max, 2.);
if (LOG.isStatistics()) {
LOG.statistics(new StringStatistic(key + ".pbm.noise-handling", noiseHandling.toString()));
if (ignorednoise > 0) {
LOG.statistics(new LongStatistic(key + ".pbm.ignored", ignorednoise));
}
LOG.statistics(new DoubleStatistic(key + ".pbm", pbm));
}
EvaluationResult ev = EvaluationResult.findOrCreate(db.getHierarchy(), c, "Internal Clustering Evaluation", "internal evaluation");
MeasurementGroup g = ev.findOrCreateGroup("Distance-based Evaluation");
g.addMeasure("PBM-Index", pbm, 0., Double.POSITIVE_INFINITY, 0., false);
db.getHierarchy().resultChanged(ev);
return pbm;
}
use of de.lmu.ifi.dbs.elki.result.EvaluationResult in project elki by elki-project.
the class EvaluateSilhouette method evaluateClustering.
/**
* Evaluate a single clustering.
*
* @param db Database
* @param rel Data relation
* @param dq Distance query
* @param c Clustering
* @return Average silhouette
*/
public double evaluateClustering(Database db, Relation<O> rel, DistanceQuery<O> dq, Clustering<?> c) {
List<? extends Cluster<?>> clusters = c.getAllClusters();
MeanVariance msil = new MeanVariance();
int ignorednoise = 0;
for (Cluster<?> cluster : clusters) {
// Note: we treat 1-element clusters the same as noise.
if (cluster.size() <= 1 || cluster.isNoise()) {
switch(noiseOption) {
case IGNORE_NOISE:
ignorednoise += cluster.size();
// Ignore noise elements
continue;
case TREAT_NOISE_AS_SINGLETONS:
// As suggested in Rousseeuw, we use 0 for singletons.
msil.put(0., cluster.size());
continue;
case MERGE_NOISE:
// Treat as cluster below
break;
}
}
ArrayDBIDs ids = DBIDUtil.ensureArray(cluster.getIDs());
// temporary storage.
double[] as = new double[ids.size()];
DBIDArrayIter it1 = ids.iter(), it2 = ids.iter();
for (it1.seek(0); it1.valid(); it1.advance()) {
// a: In-cluster distances
// Already computed distances
double a = as[it1.getOffset()];
for (it2.seek(it1.getOffset() + 1); it2.valid(); it2.advance()) {
final double dist = dq.distance(it1, it2);
a += dist;
as[it2.getOffset()] += dist;
}
a /= (ids.size() - 1);
// b: minimum average distance to other clusters:
double b = Double.POSITIVE_INFINITY;
for (Cluster<?> ocluster : clusters) {
if (ocluster == /* yes, reference identity */
cluster) {
// Same cluster
continue;
}
if (ocluster.size() <= 1 || ocluster.isNoise()) {
switch(noiseOption) {
case IGNORE_NOISE:
// Ignore noise elements
continue;
case TREAT_NOISE_AS_SINGLETONS:
// Treat noise cluster as singletons:
for (DBIDIter it3 = ocluster.getIDs().iter(); it3.valid(); it3.advance()) {
final double dist = dq.distance(it1, it3);
// Minimum average
b = dist < b ? dist : b;
}
continue;
case MERGE_NOISE:
// Treat as cluster below
break;
}
}
final DBIDs oids = ocluster.getIDs();
double btmp = 0.;
for (DBIDIter it3 = oids.iter(); it3.valid(); it3.advance()) {
btmp += dq.distance(it1, it3);
}
// Average
btmp /= oids.size();
// Minimum average
b = btmp < b ? btmp : b;
}
// One cluster only?
b = b < Double.POSITIVE_INFINITY ? b : a;
msil.put((b - a) / (b > a ? b : a));
}
}
double penalty = 1.;
// Only if {@link NoiseHandling#IGNORE_NOISE}:
if (penalize && ignorednoise > 0) {
penalty = (rel.size() - ignorednoise) / (double) rel.size();
}
final double meansil = penalty * msil.getMean();
final double stdsil = penalty * msil.getSampleStddev();
if (LOG.isStatistics()) {
LOG.statistics(new StringStatistic(key + ".silhouette.noise-handling", noiseOption.toString()));
if (ignorednoise > 0) {
LOG.statistics(new LongStatistic(key + ".silhouette.noise", ignorednoise));
}
LOG.statistics(new DoubleStatistic(key + ".silhouette.mean", meansil));
LOG.statistics(new DoubleStatistic(key + ".silhouette.stddev", stdsil));
}
EvaluationResult ev = EvaluationResult.findOrCreate(db.getHierarchy(), c, "Internal Clustering Evaluation", "internal evaluation");
MeasurementGroup g = ev.findOrCreateGroup("Distance-based Evaluation");
g.addMeasure("Silhouette +-" + FormatUtil.NF2.format(stdsil), meansil, -1., 1., 0., false);
db.getHierarchy().resultChanged(ev);
return meansil;
}
use of de.lmu.ifi.dbs.elki.result.EvaluationResult in project elki by elki-project.
the class EvaluateSimplifiedSilhouette method evaluateClustering.
/**
* Evaluate a single clustering.
*
* @param db Database
* @param rel Data relation
* @param c Clustering
* @return Mean simplified silhouette
*/
public double evaluateClustering(Database db, Relation<? extends NumberVector> rel, Clustering<?> c) {
List<? extends Cluster<?>> clusters = c.getAllClusters();
NumberVector[] centroids = new NumberVector[clusters.size()];
int ignorednoise = centroids(rel, clusters, centroids, noiseOption);
MeanVariance mssil = new MeanVariance();
Iterator<? extends Cluster<?>> ci = clusters.iterator();
for (int i = 0; ci.hasNext(); i++) {
Cluster<?> cluster = ci.next();
if (cluster.size() <= 1) {
// As suggested in Rousseeuw, we use 0 for singletons.
mssil.put(0., cluster.size());
continue;
}
if (cluster.isNoise()) {
switch(noiseOption) {
case IGNORE_NOISE:
// Ignore elements
continue;
case TREAT_NOISE_AS_SINGLETONS:
// As suggested in Rousseeuw, we use 0 for singletons.
mssil.put(0., cluster.size());
continue;
case MERGE_NOISE:
// Treat as cluster below
break;
}
}
// Cluster center:
final NumberVector center = centroids[i];
assert (center != null);
for (DBIDIter it = cluster.getIDs().iter(); it.valid(); it.advance()) {
NumberVector obj = rel.get(it);
// a: Distance to own centroid
double a = distance.distance(center, obj);
// b: Distance to other clusters centroids:
double min = Double.POSITIVE_INFINITY;
Iterator<? extends Cluster<?>> cj = clusters.iterator();
for (int j = 0; cj.hasNext(); j++) {
Cluster<?> ocluster = cj.next();
if (i == j) {
continue;
}
NumberVector other = centroids[j];
if (other == null) {
// Noise!
switch(noiseOption) {
case IGNORE_NOISE:
continue;
case TREAT_NOISE_AS_SINGLETONS:
// Treat each object like a centroid!
for (DBIDIter it2 = ocluster.getIDs().iter(); it2.valid(); it2.advance()) {
double dist = distance.distance(rel.get(it2), obj);
min = dist < min ? dist : min;
}
continue;
case MERGE_NOISE:
// Treat as cluster below, but should not be reachable.
break;
}
}
// Clusters: use centroid.
double dist = distance.distance(other, obj);
min = dist < min ? dist : min;
}
// One 'real' cluster only?
min = min < Double.POSITIVE_INFINITY ? min : a;
mssil.put((min - a) / (min > a ? min : a));
}
}
double penalty = 1.;
// Only if {@link NoiseHandling#IGNORE_NOISE}:
if (penalize && ignorednoise > 0) {
penalty = (rel.size() - ignorednoise) / (double) rel.size();
}
final double meanssil = penalty * mssil.getMean();
final double stdssil = penalty * mssil.getSampleStddev();
if (LOG.isStatistics()) {
LOG.statistics(new StringStatistic(key + ".simplified-silhouette.noise-handling", noiseOption.toString()));
if (ignorednoise > 0) {
LOG.statistics(new LongStatistic(key + ".simplified-silhouette.ignored", ignorednoise));
}
LOG.statistics(new DoubleStatistic(key + ".simplified-silhouette.mean", meanssil));
LOG.statistics(new DoubleStatistic(key + ".simplified-silhouette.stddev", stdssil));
}
EvaluationResult ev = EvaluationResult.findOrCreate(db.getHierarchy(), c, "Internal Clustering Evaluation", "internal evaluation");
MeasurementGroup g = ev.findOrCreateGroup("Distance-based Evaluation");
g.addMeasure("Simp. Silhouette +-" + FormatUtil.NF2.format(stdssil), meanssil, -1., 1., 0., false);
db.getHierarchy().resultChanged(ev);
return meanssil;
}
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