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.