2 papers
math.OC2025
First-order SDSOS-convex semi-algebraic optimization and exact SOCP relaxations
Chengmiao Yang, Liguo Jiao, Jae Hyoung Lee
In this paper, we define a new type of nonsmooth convex function, called {\em first-order SDSOS-convex semi-algebraic function}, which is an extension of the previously proposed fi…
math.OC2025
SPLD polynomial optimization and bounded degree SOS hierarchies
Liguo Jiao, Jae Hyoung Lee, Nguyen Bui Nguyen Thao
In this paper, we introduce a new class of structured polynomials, called separable plus lower degree (SPLD) polynomials. The formal definition of an SPLD polynomial, which extends…