2 citations · 3 across the 4 of their papers we have counts for
5 papers
The charnes--cooper transformation and fractional programs with convex polynomials
Chengmiao Yang, Liguo Jiao, Jae Hyoung Lee
This paper proposes a scheme based on the Charnes--Cooper transformation for solving a class of fractional programs with convex polynomial data. We employ the high-degree perturbat…
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…
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…
A parameter-free approach for solving SOS-convex semi-algebraic fractional programs
Chengmiao Yang, Liguo Jiao, Jae Hyoung Lee
In this paper, we study a class of nonsmooth fractional programs {\rm (FP, for short)} with SOS-convex semi-algebraic functions. Under suitable assumptions, we derive a strong dual…
Utopia point method based robust vector polynomial optimization scheme
Tianyi Han, Liguo Jiao, Jae Hyoung Lee +1
In this paper, we focus on a class of robust vector polynomial optimization problems (RVPOP in short) without any convex assumptions. By combining/improving the utopia point method…