数学优化及其应用系列学术报告，欢迎感兴趣的老师和同学参加！

报告题目：Relaxation Methods for Generalized Semi-Infinite Programs

报告人：胡筱萌博士（圣地亚哥州立大学）

报告时间: 2026年1月5日上午10：00-11：00

报告地点：数博彩平台209教室

报告摘要: This talk studies generalized semi-infinite programs (GSIPs) given by polynomials. We propose a hierarchy of 

polynomial optimization relaxations to solve them. They are based on polynomial extensions. Then we studies GSIPs def-

ined with polyhedral parameter sets. We propose a new approach to solve them as a disjunctive program. This approach 

is based on the KKT conditions and partial Lagrange multiplier expressions. We checked its efficiency in gemstone cut-

ting applications. For SIPs with non-semialgebraic parameter sets, we studied Positivstellensätze and moment problems 

defined on the feasible sets to solve the SIPs.

个人简介：胡筱萌，博士毕业于加州大学圣地亚哥分校数学系，师从聂家旺教授，现为圣地亚哥州立大学博士后。