Title: Dimensionality reduction in higher-order signal processing and rank-(R-1, R-2, ..., R-N) reduction in multilinear algebra
Authors: De Lathauwer, Lieven ×
Vandewalle, Joos #
Issue Date: Nov-2004
Publisher: Elsevier science inc
Series Title: Linear algebra and its applications vol:391 pages:31-55
Abstract: 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.
ISSN: 0024-3795
Publication status: published
KU Leuven publication type: IT
Appears in Collections:ESAT - STADIUS, Stadius Centre for Dynamical Systems, Signal Processing and Data Analytics
Faculty of Science, Campus Kulak Kortrijk
× corresponding author
# (joint) last author

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