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math.OC2021
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…
math.OC2021
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…
math.OC2021
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…