de.lmu.ifi.dbs.elki.datasource.filter.transform

Class LinearDiscriminantAnalysisFilter<V extends NumberVector>

java.lang.Object

de.lmu.ifi.dbs.elki.datasource.filter.transform.AbstractSupervisedProjectionVectorFilter<V>

de.lmu.ifi.dbs.elki.datasource.filter.transform.LinearDiscriminantAnalysisFilter<V>

Type Parameters:

V - Vector type

All Implemented Interfaces:

ObjectFilter

@Alias(value="lda")
@Reference(authors="R. A. Fisher",
           title="The use of multiple measurements in taxonomic problems",
           booktitle="Annals of eugenics 7.2 (1936)",
           url="http://dx.doi.org/10.1111/j.1469-1809.1936.tb02137.x")
public class LinearDiscriminantAnalysisFilter<V extends NumberVector>
extends AbstractSupervisedProjectionVectorFilter<V>

Linear Discriminant Analysis (LDA) / Fisher's linear discriminant. Reference:

R. A. Fisher
The use of multiple measurements in taxonomic problems
Annals of Eugenics 7.2 (1936): 179-188.

Since:

0.6.0

Author:

Angela Peng, Erich Schubert

Nested Class Summary

Nested Classes

Modifier and Type	Class and Description
static class	LinearDiscriminantAnalysisFilter.Parameterizer<V extends NumberVector> Parameterization class.

Field Summary

Fields

Modifier and Type	Field and Description
private static Logging	LOG Class logger.

Fields inherited from class de.lmu.ifi.dbs.elki.datasource.filter.transform.AbstractSupervisedProjectionVectorFilter

tdim

Constructor Summary

Constructors

Constructor and Description
LinearDiscriminantAnalysisFilter(int projdimension) Constructor.

Method Summary

Methods

Modifier and Type	Method and Description
protected List<Centroid>	computeCentroids(int dim, List<V> vectorcolumn, List<ClassLabel> keys, Map<ClassLabel,TIntList> classes) Compute the centroid for each class.
protected Matrix	computeProjectionMatrix(List<V> vectorcolumn, List<? extends ClassLabel> classcolumn, int dim) computes the projection matrix
protected Logging	getLogger() Class logger.

Methods inherited from class de.lmu.ifi.dbs.elki.datasource.filter.transform.AbstractSupervisedProjectionVectorFilter

convertedType, filter, partition

Methods inherited from class java.lang.Object

clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait

Field Detail

LOG

private static final Logging LOG

Class logger.

Constructor Detail

LinearDiscriminantAnalysisFilter

public LinearDiscriminantAnalysisFilter(int projdimension)

Constructor.

Parameters:

projdimension - Projection dimensionality.

Method Detail

computeProjectionMatrix

protected Matrix computeProjectionMatrix(List<V> vectorcolumn,
                             List<? extends ClassLabel> classcolumn,
                             int dim)

Description copied from class: AbstractSupervisedProjectionVectorFilter

computes the projection matrix

Specified by:

computeProjectionMatrix in class AbstractSupervisedProjectionVectorFilter<V extends NumberVector>

Parameters:

vectorcolumn - Vectors

classcolumn - Class information

dim - Dimensionality Dimensionality

Returns:

Projection matrix

computeCentroids

protected List<Centroid> computeCentroids(int dim,
                              List<V> vectorcolumn,
                              List<ClassLabel> keys,
                              Map<ClassLabel,TIntList> classes)

Compute the centroid for each class.

Parameters:

dim - Dimensionality

vectorcolumn - Vector column

keys - Key index

classes - Classes

Returns:

Centroids for each class.

getLogger

protected Logging getLogger()

Class logger.

Specified by:

getLogger in class AbstractSupervisedProjectionVectorFilter<V extends NumberVector>

Returns:

Logger