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Matrix regularization

In the field of statistical learning theory, matrix regularization generalizes notions of vector regularization to cases where the object to be learned is a matrix. The purpose of regularization is to enforce conditions, for example sparsity or smoothness, that can produce stable predictive functions. For example, in the more common vector framework…

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Overview

Basic definition

General applications

Spectral regularization

Structured sparsity

Multiple kernel selection

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Matrix regularization

Nodes26
Edges25
Triples36
Avg. degree1.92
Density0.076923
Components1

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Matrix regularization

Top relations

related to Multi-task learning · 10
Matrix regularization → Frobenius, In, Laplacian, Omega, That, The, This, Tr, When, XW-Y
related to Multiple kernel selection · 9
Matrix regularization → For, Gaussian, Hilbert, If, In, Multiple, The, This, Thus
related to Spectral regularization · 9
Matrix regularization → Filter, For, Frequently, In, Regularization, Schatten, There, This, Tikhonov
related to Basic definition · 7
Matrix regularization → Consider, DT, Finally, For, Frobenius, Let, The

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Important terminology

displaystyle matrix regularization example used left right sparsity learning regression ell norms norm multivariate kernel min lambda problem also enforce

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SubjectPredicateObjectConfidenceSrc
those discussed above by addressing ill-posed matrix inversionsinstance ofSpectral regularizationRegularization by spectral filtering has been used to find stable solutions to problems0.80text
Matrix regularizationrelated to Basic definitionConsider0.60section
Matrix regularizationrelated to Basic definitionLet0.60section
Matrix regularizationrelated to Basic definitionDT0.60section
Matrix regularizationrelated to Basic definitionFrobenius0.60section
Matrix regularizationrelated to Basic definitionFor0.60section
Matrix regularizationrelated to Basic definitionThe0.60section
Matrix regularizationrelated to Basic definitionFinally0.60section
Matrix regularizationrelated to Multi-task learningThe0.60section
Matrix regularizationrelated to Multi-task learningFrobenius0.60section
Matrix regularizationrelated to Multi-task learningIn0.60section
Matrix regularizationrelated to Multi-task learningXW-Y0.60section

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