发布时间: 2021-09-08 09:49:46
题 目：Estimating the exponents of Kurdyka- Lojasiewicz (KL) inequality and error bounds for optimization models
报 告 人：李国胤教授 广东工业大学
时 间：2021-08-18 14:00--15:00
Prof. Guoyin Li is the Associate Professor in School of Mathematics and Statistics,The University of New South Wales (UNSW Sydney), Australia.He received his Ph.D. on December 2007 from The Chinese University of Hong Kong. His research interest spans from optimization, variational analysis and multilinear algebra. He has published over 80 journal articles in top quality journals including Foundation of Computational Mathematics, SIAM Journal on Optimization, Mathematical Programming .He was also awarded the 2019 International Consortium of Chinese Mathematicians (ICCM) Best Paper Award,and 2019 Journal of Global Optimization Best Paper Award.
The Kurdyka- Lojasiewicz (KL) inequality and error bounds are two fundamental tools for establishing convergence of many numerical methods. In particular, the exponents of the KL inequality and error bounds play an important role in estimating the convergence rate of many contemporary first-order methods. Nevertheless, these exponents are extremely hard to estimate in general, particularly in the case where the associated mappings are not polyhedral. In this talk, we will outline some strategies in estimating or identifying these exponents by exploiting the so-called inf-projection operation and specific structure such as polynomial structure, semi-definite cone program representability and C 2 -cone reducible structures.