54 citations · 155 across the 71 of their papers we have counts for
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Distributionally Robust Optimization with Polynomial Robust Constraints
Jiawang Nie, Suhan Zhong
This paper studies distributionally robust optimization (DRO) with polynomial robust constraints. We give a Moment-SOS relaxation approach to solve the DRO. This reduces to solving…
Partial Lagrange Multiplier Expressions and Disjunctive Decompositions for Bilevel Optimization
Jiawang Nie, Jane J. Ye, Suhan Zhong
This paper studies bilevel polynomial optimization in which lower-level constraint functions depend linearly on lower-level variables. We show that such bilevel program can be refo…
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…
Algebraic Degrees of Generalized Nash Equilibrium Problems
Jiawang Nie, Kristian Ranestad, Xindong Tang
This paper studies the algebraic degree of generalized Nash equilibrium problems (GNEPs) given by polynomials. Their generalized Nash equilibria (GNEs), as well as their KKT or Fri…
Dehomogenization for Completely Positive Tensors
Jiawang Nie, Xindong Tang, Zi Yang +1
A real symmetric tensor is completely positive (CP) if it is a sum of symmetric tensor powers of nonnegative vectors. We propose a dehomogenization approach for studying CP tensors…
Homogenization for polynomial optimization with unbounded sets
Lei Huang, Jiawang Nie, Ya-Xiang Yuan
This paper considers polynomial optimization with unbounded sets. We give a homogenization formulation and propose a hierarchy of Moment-SOS relaxations to solve it. Under the assu…