期刊
LINEAR ALGEBRA AND ITS APPLICATIONS
卷 391, 期 -, 页码 31-55出版社
ELSEVIER SCIENCE INC
DOI: 10.1016/j.laa.2004.01.016
关键词
multilinear algebra; higher-order tensors; higher-order statistics; independent component analysis; singular value decomposition; source separation; rank reduction
In this paper we review a multilinear generalization of the singular value decomposition and the best rank-(R-1, R-2,..., R-N) 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. (C) 2004 Elsevier Inc. All rights reserved.
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