EXTENSION OF THE SEMI-ALGEBRAIC FRAMEWORK FOR APPROXIMATE CP DECOMPOSITIONS VIA NON-SYMMETRIC SIMULTANEOUS MATRIX DIAGONALIZATION - Archive ouverte HAL Accéder directement au contenu
Communication Dans Un Congrès Année : 2016

EXTENSION OF THE SEMI-ALGEBRAIC FRAMEWORK FOR APPROXIMATE CP DECOMPOSITIONS VIA NON-SYMMETRIC SIMULTANEOUS MATRIX DIAGONALIZATION

Résumé

With the increased importance of the CP decomposition (CAN-DECOMP / 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.
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Dates et versions

hal-01435241 , version 1 (13-01-2017)

Identifiants

  • HAL Id : hal-01435241 , version 1

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Krishna Naskovska, Martin Haardt, Petr Tichaysky, Gilles Chabriel-, Jean Barrère. EXTENSION OF THE SEMI-ALGEBRAIC FRAMEWORK FOR APPROXIMATE CP DECOMPOSITIONS VIA NON-SYMMETRIC SIMULTANEOUS MATRIX DIAGONALIZATION. 2016 IEEE INTERNATIONAL CONFERENCE ON ACOUSTICS, SPEECH AND SIGNAL PROCESSING PROCEEDINGS, 2016, Unknown, Unknown Region. pp.2971-2975. ⟨hal-01435241⟩
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