Sparse signal recovery via infimal convolution based penalty

作者：

Highlights：

• We propose the non-convex infimal convolution-based penalty function for sparse signal recovery.

• We use two iterative methods to solve the non-convex minimization problem.

• We prove that the proposed algorithm converges to stationary points.

• We show the effectiveness of the proposed algorithm by numerical examples.

摘要

•We propose the non-convex infimal convolution-based penalty function for sparse signal recovery.•We use two iterative methods to solve the non-convex minimization problem.•We prove that the proposed algorithm converges to stationary points.•We show the effectiveness of the proposed algorithm by numerical examples.

论文关键词：Sparse recovery,Non-convex regularization,Difference of convex,forward–backward splitting,Proximal operator,Image reconstruction

论文评审过程：Received 16 August 2020, Revised 10 December 2020, Accepted 4 March 2021, Available online 15 March 2021, Version of Record 15 March 2021.

论文官网地址：https://doi.org/10.1016/j.image.2021.116214