关于举行矫立国教授（东北师范大学）学术报告的通知

  报告题目: First-order SDSOS-convex semi-algebraic optimization and exact SOCP relaxations

  报 告 人: 矫立国 助理研究员

  报告时间: 2025年10月28日（星期二）9:00-11:00              

  地  点：37号楼3A02

  邀 请 人: 潘少华教授

  欢迎广大师生前往！

数学学院

2025年10月20日

报告摘要：

In this talk, we present a new type of nonsmooth convex function, called first-order SDSOS-convex semi-algebraic function, which is an extension of the previously proposed first-order SDSOS-convex polynomials (Chuong et al. in J Global Optim 75:885–919, 2019). This class of nonsmooth convex functions contains many well-known functions, such as the Euclidean norm, the L1-norm commonly used in compressed sensing and sparse optimization, and the least squares function frequently employed in machine learning and regression analysis. We show that, under suitable assumptions, the optimal value and optimal solutions of first-order SDSOS-convex semi-algebraic programs can be found by exactly solving an associated second-order cone programming problem.

  报告人简介：

  矫立国，东北师范大学前沿交叉研究院助理研究员，硕士生导师，主要研究方向为具有半代数/多项式结构的优化理论与算法，在Math. Oper. Res., Comput. Optim. Appl., J. Global Optim., J. Optim. Theory Appl.等期刊发表论文多篇，申请发明专利1项（实审阶段）。