54 citations · 155 across the 71 of their papers we have counts for
7 papers · 1 filter
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…
Loss Functions for Finite Sets
Jiawang Nie, Suhan Zhong
This paper studies loss functions for finite sets. For a given finite set , we give sum-of-square type loss functions of minimum degree. When is the vertex set of a standard…
Rational Generalized Nash Equilibrium Problems
Jiawang Nie, Xindong Tang, Suhan Zhong
This paper studies generalized Nash equilibrium problems that are given by rational functions. The optimization problems are not assumed to be convex. Rational expressions for Lagr…
The Multi-Objective Polynomial Optimization
Jiawang Nie, Zi Yang
The multi-objective optimization is to optimize several objective functions over a common feasible set. Since the objectives usually do not share a common optimizer, people often c…
Distributionally Robust Optimization with Moment Ambiguity Sets
Jiawang Nie, Liu Yang, Suhan Zhong +1
This paper studies distributionally robust optimization (DRO) when the ambiguity set is given by moments for the distributions. The objective and constraints are given by polynomia…
Learning Diagonal Gaussian Mixture Models and Incomplete Tensor Decompositions
Bingni Guo, Jiawang Nie, Zi Yang
This paper studies how to learn parameters in diagonal Gaussian mixture models. The problem can be formulated as computing incomplete symmetric tensor decompositions. We use genera…