Phase Diagram and Approximate Message Passing for Blind Calibration and Dictionary Learning - CEA - Commissariat à l’énergie atomique et aux énergies alternatives Accéder directement au contenu
Article Dans Une Revue IEExplore Année : 2013

Phase Diagram and Approximate Message Passing for Blind Calibration and Dictionary Learning

Résumé

We consider dictionary learning and blind calibration for signals and matrices created from a random ensemble. We study the mean-squared error in the limit of large signal dimension using the replica method and unveil the appearance of phase transitions delimiting impossible, possible-but-hard and possible inference regions. We also introduce an approximate message passing algorithm that asymptotically matches the theoretical performance, and show through numerical tests that it performs very well, for the calibration problem, for tractable system sizes.

Dates et versions

cea-01140799 , version 1 (09-04-2015)

Identifiants

Citer

Florent Krzakala, Marc Mézard, Lenka Zdeborová. Phase Diagram and Approximate Message Passing for Blind Calibration and Dictionary Learning. IEExplore, 2013, Information Theory Proceedings (ISIT), 2013 IEEE International Symposium, pp.659 - 663. ⟨10.1109/ISIT.2013.6620308⟩. ⟨cea-01140799⟩
269 Consultations
0 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More