Session II.2 - Continuous Optimization
Thursday, June 15, 14:00 ~ 14:30
On the minimization of piecewise functions: pseudo stationarity
Jong-Shi Pang
University of Southern California, USA - This email address is being protected from spambots. You need JavaScript enabled to view it.
This paper discusses the minimization of a class of (possibly discontinuous) piecewise functions that has many applied sources. We define the concept of a pseudo stationary solution and present two approaches for its computation: an epigraphical approach and a noniffier approach; the latter is the nonsmooth generalization of the mollifier approach of Norkin and Wets that lies at the foundation of smooth approximation of discontinuous minimization.
Joint work with Ying Cui (University of Minnesota) and Junyi Liu (Tsinghua University).