Title
Robust sparse recovery via weakly convex optimization in impulsive noise.
Abstract
•By combining the concept of weak convexity with l1 norm loss function, a robust sparse recovery framework for impulsive noise is proposed and theoretically analyzed.•Model analysis guarantees that this novel robust sparse recovery formulation guarantees to attain the global optimum.•An efficient algorithm based on ADMM is developed to solve the corresponding nonconvex and nonsmooth minimization.
Year
DOI
Venue
2018
10.1016/j.sigpro.2018.05.020
Signal Processing
Keywords
Field
DocType
Weakly convex optimization,Robust sparse recovery,ADMM,Global optimum
Residual,Mathematical optimization,Slack variable,Convexity,Outlier,Minification,Convex function,Convex optimization,Optimization problem,Mathematics
Journal
Volume
ISSN
Citations 
152
0165-1684
3
PageRank 
References 
Authors
0.41
14
4
Name
Order
Citations
PageRank
Qi Liu111517.85
Chengzhu Yang241.10
Yuantao Gu375273.88
H.C. So454046.62