Penalty Functions Derived From Monotone Mappings

被引:18
作者
Bayram, Ilker [1 ]
机构
[1] Istanbul Tech Univ, Dept Elect & Commun Engn, Istanbul 34469, Turkey
关键词
Hard threshold; monotone denoising operator; non-convex penalty; weakly convex; ALGORITHM;
D O I
10.1109/LSP.2014.2357681
中图分类号
TM [电工技术]; TN [电子技术、通信技术];
学科分类号
0808 ; 0809 ;
摘要
We consider the problem of constructing a penalty function associated with a given monotone function. We provide a construction that allows the monotone function to be discontinuous or bounded. We show that, although the penalty may be nonconvex, it is weakly convex. We briefly discuss the implications for iterative solutions of linear inverse problems.
引用
收藏
页码:265 / 269
页数:5
相关论文
共 19 条
[11]  
Hofmann T., 1999, P IEEE INT C AC SPEE
[12]  
Hurmalainen A., 2012, P ANN C INT SPEECH C
[13]  
Kim M., 2013, PROC INT CONF MACHIN
[14]  
Lee D. D., 2001, ADV NEURAL INFORM PR, V13
[15]  
Luenberger DG, 1979, Introduction to Dynamic Systems: Theory, Models, and Applications
[16]  
Rockafellar R. T., 2009, Variational Analysis
[17]  
Smaragdis P., 2009, ADV NEURAL INFORM PR
[18]   STRONG AND WEAK CONVEXITY OF SETS AND FUNCTIONS [J].
VIAL, JP .
MATHEMATICS OF OPERATIONS RESEARCH, 1983, 8 (02) :231-259
[19]  
Zhiyao Duan, 2012, Latent Variable Analysis and Signal Separation. Proceedings 10th International Conference, LVA/ICA 2012, P34, DOI 10.1007/978-3-642-28551-6_5