Some issues in computing the CP decomposition of NonNegative Tensors

Pierre Comon 1 Mohamad Jouni 2 Mauro Dalla Mura 2
1 GIPSA-CICS - CICS
GIPSA-DIS - Département Images et Signal
2 GIPSA-SIGMAPHY - SIGMAPHY
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
14th International Conference on Latent Variable Analysis and Signal Separation (LVA/ICA 2018), Jul 2018, Univ. of Surrey, Guildford, United Kingdom. Springer, Latent Variable Analysis and Signal Separation, 10891, Theoretical Computer Science and General Issues
Liste complète des métadonnées

Littérature citée [11 références]  Voir  Masquer  Télécharger

https://hal.archives-ouvertes.fr/hal-01784370
Contributeur : Pierre Comon <>
Soumis le : jeudi 3 mai 2018 - 13:54:09
Dernière modification le : mardi 18 septembre 2018 - 12:24:02
Document(s) archivé(s) le : lundi 24 septembre 2018 - 22:46:06

Fichier

main3.pdf
Fichiers produits par l'(les) auteur(s)

Identifiants

  • HAL Id : hal-01784370, version 1

Citation

Pierre Comon, Mohamad Jouni, Mauro Dalla Mura. Some issues in computing the CP decomposition of NonNegative Tensors. 14th International Conference on Latent Variable Analysis and Signal Separation (LVA/ICA 2018), Jul 2018, Univ. of Surrey, Guildford, United Kingdom. Springer, Latent Variable Analysis and Signal Separation, 10891, Theoretical Computer Science and General Issues. 〈hal-01784370〉

Partager

Métriques

Consultations de la notice

167

Téléchargements de fichiers

98