Title of article
Dimensionality reduction in higher-order signal processing and rank-(R1,R2,…,RN) reduction in multilinear algebra Original Research Article
Author/Authors
Lieven De Lathauwer، نويسنده , , Joos Vandewalle، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2004
Pages
25
From page
31
To page
55
Abstract
In this paper we review a multilinear generalization of the singular value decomposition and the best rank-(R1,R2,…,RN) approximation of higher-order tensors. We show that they are important tools for dimensionality reduction in higher-order signal processing. We discuss applications in independent component analysis, simultaneous matrix diagonalization and subspace variants of algorithms based on higher-order statistics.
Keywords
Singular value decomposition , Rank reduction , Multilinear algebra , Higher-order statistics , independent componentanalysis , Source separation , Higher-order tensors
Journal title
Linear Algebra and its Applications
Serial Year
2004
Journal title
Linear Algebra and its Applications
Record number
824592
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