54 citations · 155 across the 71 of their papers we have counts for
72 papers
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…
Low Rank Tensor Decompositions and Approximations
Jiawang Nie, Li Wang, Zequn Zheng
There exist linear relations among tensor entries of low rank tensors. These linear relations can be expressed by multi-linear polynomials, which are called generating polynomials.…
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…
Generalized truncated moment problems with unbounded sets
Lei Huang, Jiawang Nie, Ya-Xiang Yuan
This paper studies generalized truncated moment problems with unbounded sets. First, we study geometric properties of the truncated moment cone and its dual cone of nonnegative pol…