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Conference Paper (international conference)

Extension of the semi-algebraic framework for approximate CP decompositions via non-symmetric simultaneous matrix diagonalization

Naskovska K., Haardt M., Tichavský Petr, Chabriel G., Barrere J.

: Proceedings of the IEEE International Conference on Acoustics, Speech and Signal Proocessing, p. 2971-2975

: IEEE International Conference on Acoustics, Speech, and Signal Processing 2016 (ICASSP2016), (Shanghai, CN, 20.03.2016-25.03.2016)

: GA14-13713S, GA ČR

: CP decomposition, semi-algebraic framework, non-symmetric simultaneous matrix diagonalization

: 10.1109/ICASSP.2016.7472222

: http://library.utia.cas.cz/separaty/2016/SI/tichavsky-0468393.pdf

(eng): With the increased importance of the CP decomposition (CANDECOMP / PARAFAC decomposition), efficient methods for its calculation are necessary. In this paper we present an extension of the SECSI (SEmi-algebraic framework for approximate CP decomposition via SImultaneous matrix diagonalization) that is based on new non-symmetric SMDs (Simultaneous Matrix Diagonalizations).\nMoreover, two different algorithms to calculate non-symmetric SMDs are presented as examples, the TEDIA (TEnsor DIAgonalization) algorithm and the IDIEM-NS (Improved DIagonalization\nusing Equivalent Matrices-Non Symmetric) algorithm. The SECSI-TEDIA framework has an increased computational complexity but often achieves a better performance than the original SECSI framework. On the other hand, the SECSI-IDIEM framework offers a lower computational complexity while sacrificing some performance accuracy.

: BB

2019-01-07 08:39