NonnegativeMatrixFactorizationByHALS Class

Non-negative matrix factorization (NMF) using hierarchical alternating least squares (HALS).

Inheritance Hierarchy

SystemObject
  Altaxo.Calc.LinearAlgebra.Double.FactorizationNonnegativeMatrixFactorizationBase
    Altaxo.Calc.LinearAlgebra.Double.FactorizationNonnegativeMatrixFactorizationWithRegularizationBase
      Altaxo.Calc.LinearAlgebra.Double.FactorizationNonnegativeMatrixFactorizationByHALS

Namespace: Altaxo.Calc.LinearAlgebra.Double.Factorization
Assembly: AltaxoCore (in AltaxoCore.dll) Version: 4.8.3572.0 (4.8.3572.0)

Syntax

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public class NonnegativeMatrixFactorizationByHALS : NonnegativeMatrixFactorizationWithRegularizationBase, 
	IEquatable<NonnegativeMatrixFactorizationByHALS>

The NonnegativeMatrixFactorizationByHALS type exposes the following members.

Constructors

	Name	Description
	NonnegativeMatrixFactorizationByHALS	Initializes a new instance of the NonnegativeMatrixFactorizationByHALS class

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Properties

	Name	Description
	InitializationMethod	Gets or sets the initialization method to be used for the factorization. (Inherited from NonnegativeMatrixFactorizationBase)
	LambdaH	Gets the regularization strength for H. (Inherited from NonnegativeMatrixFactorizationWithRegularizationBase)
	LambdaW	Gets the regularization strength for W. (Inherited from NonnegativeMatrixFactorizationWithRegularizationBase)
	MaximumNumberOfIterations	Gets the maximum number of iterations for the factorization algorithm. (Inherited from NonnegativeMatrixFactorizationBase)
	NumberOfAdditionalTrials	Gets the number of additional trials to perform with a random initialization. (Inherited from NonnegativeMatrixFactorizationBase)
	Tolerance	Gets the convergence tolerance. (Inherited from NonnegativeMatrixFactorizationBase)

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Methods

	Name	Description
	Factorize	Factorizes the input matrix X into a product of two matrices with the specified rank. (Inherited from NonnegativeMatrixFactorizationBase)
	FactorizeOneTrial	Factorizes a non-negative matrix V into non-negative factors W and H. (Overrides NonnegativeMatrixFactorizationBaseFactorizeOneTrial(MatrixDouble, Int32))
	Finalize	Allows an object to try to free resources and perform other cleanup operations before it is reclaimed by garbage collection. (Inherited from Object)
	GetType	Gets the Type of the current instance. (Inherited from Object)
	MemberwiseClone	Creates a shallow copy of the current Object. (Inherited from Object)

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Remarks

HALS is a block coordinate descent method that updates one component (a column of W and the corresponding row of H) at a time while enforcing non-negativity.

References:

N. Gillis, "The why and how of nonnegative matrix factorization", arXiv:1401.5226.

Reference

Altaxo.Calc.LinearAlgebra.Double.Factorization Namespace