3 papers
math.OC2025
A global approach for generalized semi-infinte programs with polyhedral parameter sets
Xiaomeng Hu, Jiawang Nie, Suhan Zhong
This paper studies generalized semi-infinite programs (GSIPs) defined with polyhedral parameter sets. Assume these GSIPs are given by polynomials. We propose a new approach to solv…
math.OC2024
Positivstellensätze and Moment problems with Universal Quantifiers
Xiaomeng Hu, Igor Klep, Jiawang Nie
This paper studies Positivstellensätze and moment problems for sets that are given by universal quantifiers. Let be a closed set and let be a tuple of p…
math.OC2023
Polynomial Optimization Relaxations for Generalized Semi-Infinite Programs
Xiaomeng Hu, Jiawang Nie
This paper studies generalized semi-infinite programs (GSIPs) given by polynomials. We propose a hierarchy of polynomial optimization relaxations to solve them. They are based on L…