54 citations · 155 across the 71 of their papers we have counts for
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Separability of Hermitian Tensors and PSD Decompositions
Mareike Dressler, Jiawang Nie, Zi Yang
Hermitian tensors are natural generalizations of Hermitian matrices, while possessing rather different properties. A Hermitian tensor is separable if it has a Hermitian decompositi…
The Gauss-Seidel Method for Generalized Nash Equilibrium Problems of Polynomials
Jiawang Nie, Xindong Tang, Lingling Xu
This paper concerns the generalized Nash equilibrium problem of polynomials (GNEPP). We apply the Gauss-Seidel method and Lasserre type Moment-SOS relaxations to solve GNEPPs. The…
A Lagrange Multiplier Expression Method for Bilevel Polynomial Optimization
Jiawang Nie, Li Wang, Jane Ye +1
This paper studies bilevel polynomial optimization problems. To solve them, we give a method based on polynomial optimization relaxations. Each relaxation is obtained from the Kura…
Nash Equilibrium Problems of Polynomials
Jiawang Nie, Xindong Tang
This paper studies Nash equilibrium problems that are given by polynomial functions. We formulate efficient polynomial optimization problems for computing Nash equilibria. The Lass…
Symmetric Tensor Decompositions On Varieties
Jiawang Nie, Ke Ye, Lihong Zhi
This paper discusses the problem of symmetric tensor decomposition on a given variety : decomposing a symmetric tensor into the sum of tensor powers of vectors contained in .…