Algorithmic Development for Computing B-stationary Points of a Class of Nonsmooth DC Programs

发布时间：2018-05-31 作者：浏览次数：

Speaker:	Professor Zhaosong Lu	DateTime:	2018年6月2日（周六）下午 2:30-3:10
Brief Introduction to Speaker: Professor Zhaosong Lu, Simon Fraser University.		Place:	六号楼二楼报告厅
Abstract:In the first part of this talk, we study a convex-constrained nonsmooth DC program in which the concave summand of the objective is an infimum of possibly infinitely many smooth concave functions. We propose some algorithms by using nonmonotone linear search and extrapolation techniques for possible acceleration for this problem, and analyze their global convergence, sequence convergence and also iteration complexity. We also propose randomized counterparts for them and discuss their convergence. In the second part we consider a class of DC constrained nonsmooth DC programs. We propose penalty and augmented Lagrangian methods for solving them and show that they converge to a B-stationary point under much weaker assumptions than those imposed in the literature.