Title
Cross-products LASSO
Abstract
Negative co-occurrence is a common phenomenon in many signal processing applications. In some cases the signals involved are sparse, and this information can be exploited to recover them. In this paper, we present a sparse learning approach that explicitly takes into account negative co-occurrence. This is achieved by adding a novel penalty term to the LASSO cost function based on the cross-products between the reconstruction coefficients. Although the resulting optimization problem is non-convex, we develop a new and efficient method for solving it based on successive convex approximations. Results on synthetic data, for both complete and overcomplete dictionaries, are provided to validate the proposed approach.
Year
DOI
Venue
2013
10.1109/ICASSP.2013.6638840
Acoustics, Speech and Signal Processing
Keywords
Field
DocType
approximation theory,concave programming,convex programming,learning (artificial intelligence),signal reconstruction,cross-product LASSO cost function,dictionary,negative cooccurrence phenomenon,nonconvex optimization problem,signal processing application,signal reconstruction,sparse learning approach,successive convex approximation,LASSO,negative co-occurrence,sparse coding,sparsity-aware learning
Signal processing,Mathematical optimization,Pattern recognition,Computer science,Lasso (statistics),Sparse approximation,Approximation theory,Synthetic data,Artificial intelligence,Convex optimization,Optimization problem,Signal reconstruction
Conference
ISSN
Citations 
PageRank 
1520-6149
0
0.34
References 
Authors
10
5
Name
Order
Citations
PageRank
David Luengo121.45
Javier Vía241240.39
Sandra Monzón341.58
Tom Trigano474.27
Antonio Artés-Rodríguez520634.76