汇报标题 (Title)：Distributionally robust optimization with polynomial robust constraints（带有多项式鲁棒约束的分部鲁棒优化问题）
汇报人 (Speaker)：钟粟晗（上海交通大学）
汇报功夫 (Time)：2026年6月19日(周五) 10:00
汇报地址 (Place)：宝山校区F309
约请人(Inviter)：周安娃
主办部门：理学院数学系
汇报提要：We propose a Moment-SOS relaxation approach to solve distributionally robust optimization (DRO) with polynomial robust constraints. This reduces to solving linear conic optimization with semidefinite constraints. When the DRO problem is SOS-convex, we show that it is equivalent to the linear conic relaxation and it can be solved by the Moment-SOS algorithm. For nonconvex cases, we also give concrete conditions such that the DRO can be solved globally.
