Title
Robust Jointly-Sparse Signal Recovery Based On Minimax Concave Loss Function
Abstract
We propose a robust approach to recovering the jointly-sparse signals in the presence of outliers. We formulate the recovering task as a minimization problem involving three terms: (i) the minimax concave (MC) loss function, (ii) the MC penalty function, and (iii) the squared Frobenius norm. The MC-based loss and penalty functions enhance robustness and group sparsity, respectively, while the squared Frobenius norm induces the convexity. The problem is solved, via reformulation, by the primal-dual splitting method, for which the convergence condition is derived. Numerical examples show that the proposed approach enjoys remarkable outlier robustness.
Year
DOI
Venue
2020
10.23919/Eusipco47968.2020.9287635
28TH EUROPEAN SIGNAL PROCESSING CONFERENCE (EUSIPCO 2020)
Keywords
DocType
ISSN
robustness, minimax concave function, jointly-sparse signals, multiple measurement vector problem, feature selection
Conference
2076-1465
Citations 
PageRank 
References 
0
0.34
0
Authors
2
Name
Order
Citations
PageRank
Kyohei Suzuki100.34
Masahiro Yukawa227230.44