0468393 20240111140931.220170105235959.9 84973343797 000388373403023 10.1109/ICASSP.2016.7472222 Extension of the semi-algebraic framework for approximate CP decompositions via non-symmetric simultaneous matrix diagonalization 5 s. C cav_un_epca*0458486978-1-4799-9987-3Proceedings of the IEEE International Conference on Acoustics, Speech and Signal Proocessing2971-2975PiscatawayIEEE2016 CP decomposition semi-algebraic framework non-symmetric simultaneous matrix diagonalization cav_un_auth*0340399 50 Naskovska K. DE cav_un_auth*0340400 20 Haardt M. DE cav_un_auth*0101212 Stochastická informatika Department of Stochastic Informatics SI SI Department of Stochastic Informatics 10 Tichavský Petr UTIA-B Ústav teorie informace a automatizace AV ČR, v. v. i. cav_un_auth*0302679 10 Chabriel G. FR cav_un_auth*0340402 10 Barrere J. FR http://library.utia.cas.cz/separaty/2016/SI/tichavsky-0468393.pdf 161 kB cav_un_auth*0303443 GA14-13713S GA ČR CZ 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). Moreover, two different algorithms to calculate non-symmetric SMDs are presented as examples, the TEDIA (TEnsor DIAgonalization) algorithm and the IDIEM-NS (Improved DIagonalization using 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. cav_un_auth*0329851 IEEE International Conference on Acoustics, Speech, and Signal Processing 2016 (ICASSP2016) 20.03.2016-25.03.2016 Shanghai CN BB 2017 5 PO RVO:67985556 http://hdl.handle.net/11104/0269443 S n.a. Proceedings Paper Acoustics|Engineering Electrical Electronic 2016 84973343797 SCOPUS PUBMED 000388373403023 WOS 161 kB cav_un_epca*0458486 Proceedings of the IEEE International Conference on Acoustics, Speech and Signal Proocessing 978-1-4799-9987-3 2971 2975 Piscataway IEEE 2016