Some issues in computing the CP decomposition of NonNegative Tensors

Mohamad Jouni 1 Mauro Dalla Mura 1 Pierre Comon 2
1 GIPSA-SIGMAPHY - SIGMAPHY
GIPSA-DIS - Département Images et Signal
2 GIPSA-CICS - CICS
GIPSA-DIS - Département Images et Signal
Abstract : Tensor decompositions are still in the process of study and development. In this paper, we point out a problem existing in nonnega-tive tensor decompositions, stemming from the representation of decom-posable tensors by outer products of vectors, and propose approaches to solve it. In fact, a scaling indeterminacy appears whereas it is not inherent in the decomposition, and the choice of scaling factors has an impact during the execution of iterative algorithms and should not be overlooked. Computer experiments support the interest in the greedy algorithm proposed, in the case of the CP decomposition.
Type de document :
Communication dans un congrès
Yannick Deville, Sharon Gannot, Russell Mason, Mark D. Plumbley, Dominic Ward. 14th International Conference on Latent Variable Analysis and Signal Separation (LVA/ICA 2018), Jul 2018, Guildford, United Kingdom. Springer, Lecture Notes in Computer Science, 10891, pp.57-66, Latent Variable Analysis and Signal Separation. 〈10.1007/978-3-319-93764-9_6〉
Liste complète des métadonnées

Littérature citée [4 références]  Voir  Masquer  Télécharger

https://hal.archives-ouvertes.fr/hal-01784370
Contributeur : Pierre Comon <>
Soumis le : lundi 17 décembre 2018 - 10:53:51
Dernière modification le : jeudi 7 février 2019 - 15:36:26
Document(s) archivé(s) le : lundi 18 mars 2019 - 14:32:40

Fichier

HAL-01784370 (1).pdf
Fichiers produits par l'(les) auteur(s)

Identifiants

Citation

Mohamad Jouni, Mauro Dalla Mura, Pierre Comon. Some issues in computing the CP decomposition of NonNegative Tensors. Yannick Deville, Sharon Gannot, Russell Mason, Mark D. Plumbley, Dominic Ward. 14th International Conference on Latent Variable Analysis and Signal Separation (LVA/ICA 2018), Jul 2018, Guildford, United Kingdom. Springer, Lecture Notes in Computer Science, 10891, pp.57-66, Latent Variable Analysis and Signal Separation. 〈10.1007/978-3-319-93764-9_6〉. 〈hal-01784370v2〉

Partager

Métriques

Consultations de la notice

70

Téléchargements de fichiers

36