A tempering approach for Itakura-Saito non-negative matrix factorization. With application to music transcription

Abstract : In this paper we are interested in non-negative matrix factorization (NMF) with the Itakura-Saito (IS) divergence. Previous work has demonstrated the relevance of this cost function for the decomposition of audio power spectrograms. This is in particular due to its scale invariance, which makes it more robust to the wide dynamics of audio, a property which is not shared by other popular costs such as the Euclidean distance or the generalized Kulback-Leibler (KL) divergence. However, while the latter two cost functions are convex, the IS divergence is not, which makes it more prone to convergence to irrelevant local minima, as observed empirically. Thus, the aim of this paper is to propose a tempering scheme that favors convergence of IS-NMF to global minima. Our algorithm is based on NMF with the beta-divergence, where the shape parameter beta acts as a temperature parameter. Results on both synthetical and music data (in a transcription context) show the relevance of our approach.
Type de document :
Communication dans un congrès
Proc. of IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP), 2009, Taipei, Taiwan. pp.1545--1548, 2009
Liste complète des métadonnées

Littérature citée [9 références]  Voir  Masquer  Télécharger

https://hal.inria.fr/hal-00945283
Contributeur : Roland Badeau <>
Soumis le : mardi 25 mars 2014 - 08:41:59
Dernière modification le : jeudi 11 janvier 2018 - 06:23:38
Document(s) archivé(s) le : mercredi 25 juin 2014 - 10:43:29

Fichier

Bertin-ICASSP2009.pdf
Fichiers produits par l'(les) auteur(s)

Identifiants

  • HAL Id : hal-00945283, version 1

Citation

Nancy Bertin, Cédric Févotte, Roland Badeau. A tempering approach for Itakura-Saito non-negative matrix factorization. With application to music transcription. Proc. of IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP), 2009, Taipei, Taiwan. pp.1545--1548, 2009. 〈hal-00945283〉

Partager

Métriques

Consultations de la notice

363

Téléchargements de fichiers

138