A Class of Nonsmooth Generalized Equation  
Author Huan Gao


Co-Author(s) Haibin Zhang; Wenqing Xu


Abstract The nonzero solution of a class of nonsmooth generalized equations is considered. This class of problems arises from applications of sparse and group sparse regularization techniques for variable selection, and from optimization conditions for solving nonsmooth convex problems. One popular and efficient approach for solving such problems is the Douglas-Rachford splitting method. In this paper, we derive and study the method for such problems from theoretical and experimental perspectives. The results show that the method is competitive.


Keywords Nonsmooth generalized equations, Douglas-Rachford splitting method, Sparse group Lasso
    Article #:  20131
Proceedings of the 20th ISSAT International Conference on Reliability and Quality in Design
August 7-9, 2014 - Seattle, Washington, U.S.A.