报告时间：2026年10月22日（周四）下午 15:00-16:00
报告地点：苏州大学天赐庄校区精正楼306
报告人：杨澄淼 博士生，东北师范大学
报告摘要：
In this talk, we define a new type of nonsmooth convex function, called first-order scaled diagonally dominant sum-of-squares convex semi-algebraic function, which extends the previously proposed first-order scaled diagonally dominant sum-of-squares convex polynomials. This class of functions covers several important examples, including the Euclidean norm and the $\ell_1$-norm widely used in compressed sensing and sparse optimization. Under mild conditions, we prove that both the optimal value and a primal optimizer can be obtained exactly by reducing the problem to a single second-order cone program. Finally, we illustrate the applicability of the proposed framework with an example in robust optimization.
报告人简介：
杨澄淼，东北师范大学在读博士研究生，主要从事多项式与半代数优化理论与算法等研究工作，相关工作发表在Journal of Optimization Theory and Applications, Optimization等优化期刊。
邀请人：吴朋程