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Bibliography

Conference Paper (international conference)

Two-sided diagonalization of order-three tensors

Tichavský Petr, Phan A. H., Cichocki A.

: Proceedings of the 23rd European Signal Processing Conference (EUSIPCO 2015), p. 998-1002

: 23rd European Signal Processing Conference (EUSIPCO), (Nice, FR, 31.08.2015-04.09.2015)

: GA14-13713S, GA ČR

: Multilinear models, parallel factor analysis, joint matrix diagonalization

: 10.1109/EUSIPCO.2015.7362532

: http://library.utia.cas.cz/separaty/2015/SI/tichavsky-0447021.pdf

(eng): 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.

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