org.openimaj.math.matrix.algorithm.pca

Class SvdPrincipalComponentAnalysis

java.lang.Object

org.openimaj.math.matrix.algorithm.pca.PrincipalComponentAnalysis

org.openimaj.math.matrix.algorithm.pca.SvdPrincipalComponentAnalysis

public class SvdPrincipalComponentAnalysis
extends PrincipalComponentAnalysis

Compute the PCA using an SVD without actually constructing the covariance matrix. This class performs a full SVD extracting all singular values and vectors. If you know apriori how many principle components (or have an upper bound on the number), then use a ThinSvdPrincipalComponentAnalysis instead.

Author:

Jonathon Hare (jsh2@ecs.soton.ac.uk)

Nested Class Summary

Nested classes/interfaces inherited from class org.openimaj.math.matrix.algorithm.pca.PrincipalComponentAnalysis

PrincipalComponentAnalysis.ComponentSelector, PrincipalComponentAnalysis.EnergyThresholdComponentSelector, PrincipalComponentAnalysis.NumberComponentSelector, PrincipalComponentAnalysis.PercentageEnergyComponentSelector

Field Summary

Fields inherited from class org.openimaj.math.matrix.algorithm.pca.PrincipalComponentAnalysis

basis, eigenvalues, mean

Constructor Summary

Constructors

Constructor and Description
SvdPrincipalComponentAnalysis() Construct a SvdPrincipalComponentAnalysis that will extract all the eigenvectors.
SvdPrincipalComponentAnalysis(int ndims) Construct a SvdPrincipalComponentAnalysis that will extract the n best eigenvectors.

Method Summary

Modifier and Type	Method and Description
void	learnBasisNorm(Jama.Matrix norm) Learn the PCA basis from the centered data provided.

Methods inherited from class org.openimaj.math.matrix.algorithm.pca.PrincipalComponentAnalysis

buildNormalisedDataMatrix, generate, getBasis, getCumulativeEnergies, getCumulativeEnergy, getEigenValue, getEigenValues, getEigenVectors, getMean, getPrincipalComponent, getStandardDeviations, getStandardDeviations, learnBasis, learnBasis, learnBasis, project, project, selectSubset, selectSubset, selectSubsetEnergyThreshold, selectSubsetPercentageEnergy, toString

Methods inherited from class java.lang.Object

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

Constructor Detail

SvdPrincipalComponentAnalysis

public SvdPrincipalComponentAnalysis()

Construct a SvdPrincipalComponentAnalysis that will extract all the eigenvectors.

SvdPrincipalComponentAnalysis

public SvdPrincipalComponentAnalysis(int ndims)

Construct a SvdPrincipalComponentAnalysis that will extract the n best eigenvectors.

Parameters:

ndims - the number of eigenvectors to select.

Method Detail

learnBasisNorm

public void learnBasisNorm(Jama.Matrix norm)

Description copied from class: PrincipalComponentAnalysis

Learn the PCA basis from the centered data provided. Each row corresponds to an observation with the number of dimensions equal to the number of columns.

Specified by:

learnBasisNorm in class PrincipalComponentAnalysis