Two-sided diagonalization of order-three tensors

0447021 - ÚTIA 2016 RIV US eng C - Konferenční příspěvek (zahraniční konf.)
Tichavský, Petr - Phan, A. H. - Cichocki, A.
Two-sided diagonalization of order-three tensors.
Proceedings of the 23rd European Signal Processing Conference (EUSIPCO 2015). Piscataway: IEEE Computer Society, 2015, s. 998-1002. ISBN 978-0-9928626-4-0. ISSN 2076-1465.
[23rd European Signal Processing Conference (EUSIPCO). Nice (FR), 31.08.2015-04.09.2015]
Grant CEP: GA ČR(CZ) GA14-13713S
Institucionální podpora: RVO:67985556
Klíčová slova: Multilinear models * parallel factor analysis * joint matrix diagonalization
Kód oboru RIV: BB - Aplikovaná statistika, operační výzkum
http://library.utia.cas.cz/separaty/2015/SI/tichavsky-0447021.pdf

This paper presents algorithms for two-sided diagonalization of order-three tensors. It is another expression for joint nonsymmetric approximate diagonalization of a set of square matrices, say T_1, . . ., T_M: We seek two non-orthogonal matrices A and B such that the products AT_mB^T are close to diagonal in a sense. The algorithms can be used for a block tensor decomposition and applied e.g. for tensor deconvolution and feature extraction using the convolutive model.
Trvalý link: http://hdl.handle.net/11104/0249083