学术报告与学术会议

刘玉兰教授受邀进行讲座

发布时间: 2024-04-30 16:24:00

题      目:Tilt stability of Ky-Fan $\kappa$-norm composite optimization


报  告  人:刘玉兰  教授  (邀请人:陈艳男 )

                                    广东工业大学


时      间:4月29日  15:00-16:00


地     点:数科院西二楼会议室


报告人简介:

        广东工业大学,副教授, 硕士生导师,2002年在南昌大学获硕士学位。 2018年在华南理工大学获得博士学位。主要研究方向为最优化理论及应用,在 SIAM Journal on Optimization , Journal of Global Optimization, Set-Valued and Variational Analysis, Optimization,  IEEE Signal Processing Letters, Neurocomputing等期刊发表学术论文 十来篇。主持广东省自然科学基金面上项目和国家重点实验开发课题各 1 项,参与国家自然科学基金面上项目 1 项,国家自然科学青年项目各 2 项。


摘      要:

        This talk concerns tilt stability of a class of nonconvex and nonsmooth matrix composite optimization, the minimization of the sum of a twice continuously differentiable matrix function and the Ky-Fan $\kappa$-norm. By characterizing the expression of second subderivative of the Ky-Fan $\kappa$-norm, we establish a verifiable criterion to identify the tilt stability of a local minimum of the considered composite optimization. As a byproduct, we obtain a convenient criterion to identify the tilt stable solution of the nuclear-norm regularized smooth loss minimization.