Coherence Constrained Alternating Least Squares - Archive ouverte HAL Accéder directement au contenu
Communication Dans Un Congrès Année : 2018

Coherence Constrained Alternating Least Squares

Résumé

In this paper we present a modification of alternating least squares (ALS) for tensor canonical polyadic approximation that takes into account mutual coherence constraints. The proposed algorithm can be used to ensure well-posedness of the tensor approximation problem during ALS iterates and so is an alternative to existing approaches. We conduct tests with the proposed approach by using it as initialization of unconstrained alternating least squares in difficult cases, when the underlying tensor model factors have nearly collinear columns and the unconstrained approach is prone to a degenerate behavior, failing to converge or converging slowly to an acceptable solution. The results of the tested cases indicate that by using such an initialization the unconstrained approach seems to avoid such a behavior.
Fichier principal
Vignette du fichier
cc_als_final.pdf (376.38 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)
Loading...

Dates et versions

hal-01693946 , version 1 (26-01-2018)
hal-01693946 , version 2 (19-06-2018)

Identifiants

Citer

Rodrigo Cabral Farias, José Henrique de Morais Goulart, Pierre Comon. Coherence Constrained Alternating Least Squares. EUSIPCO 2018 - 26th European Signal Processing Conference, Sep 2018, Rome, Italy. ⟨10.23919/EUSIPCO.2018.8553084⟩. ⟨hal-01693946v2⟩
661 Consultations
381 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More