Title
Subspace penalized sparse learning for joint sparse recovery
Abstract
The multiple measurement vector problem (MMV) is a generalization of the compressed sensing problem that addresses the recovery of a set of jointly sparse signal vectors. One of the important contributions of this paper is to reveal that the seemingly least related state-of-art MMV joint sparse recovery algorithms - M-SBL (multiple sparse Bayesian learning) and subspace-based hybrid greedy algorithms - have a very important link. More specifically, we show that replacing the log det(·) term in M-SBL by a log det(·) rank proxy that exploits the spark reduction property discovered in subspace-based joint sparse recovery algorithms, provides significant improvements. Theoretical analysis demonstrates that even thoughM-SBL is often unable to remove all localminimizers, the proposed method can do so under fairly mild conditions, without affecting the global minimizer.
Year
DOI
Venue
2013
10.1109/ICASSP.2013.6638824
ICASSP
Keywords
Field
DocType
multiple measurement vector problem,joint sparse recovery algorithms,sparse signal vectors,bayes methods,learning (artificial intelligence),subspace penalized sparse learning,compressed sensing problem,compresse sensing,compressed sensing,greedy algorithms,joint sparse recovery,mmv,spark reduction property,multiple sparse bayesian learning,subspace-based hybrid greedy algorithms,m-sbl,vectors,signal to noise ratio,learning artificial intelligence,multiple signal classification,algorithm design and analysis,sensors
Mathematical optimization,Spark (mathematics),Bayesian inference,Subspace topology,Pattern recognition,Computer science,Sparse approximation,Greedy algorithm,Artificial intelligence,Compressed sensing,Sparse learning
Conference
ISSN
Citations 
PageRank 
1520-6149
0
0.34
References 
Authors
5
3
Name
Order
Citations
PageRank
Jong Chul Ye171579.99
Jongmin Kim2325.39
Yoram Bresler31104119.17