Moment and Polynomial Optimization, Generalized Nash Equilibrium Problems, Tensor Computation
Sparse polynomial optimization with matrix constraints.
Generalized Nash equilibrium problems with quasi-linear constraints.
A characterization for tightness of the sparse Moment-SOS hierarchy.
Joint with Jiawang Nie, Zheng Qu, and Linghao Zhang, Mathematical Programming (to appear), 2025 [arXiv]
Algebraic degree of generalized Nash equilibrium problems.
Joint with Jiawang Nie and Kristian Ranestad, Science China Mathematics, 2025 [paper]
A polynomial optimization framework for polynomial quasi-variational inequalities with Moment-SOS relaxations.
Joint with Min Zhang, and Wenzhi Zhong Numerical Algebra, Contral and Optimization, 2024 [paper]
Solving polynomial variational inequality problems via Lagrange multiplier expressions and Moment-SOS relaxations.
Joint with Jiawang Nie, Defeng Sun, and Min Zhang, Computational Optimization and Applications, 2024 [paper]
Collision-free trajectory optimization in cluttered environments with sums-of-squares programming.
Joint with Yulin Li, Chunxin Zheng, Kai Chen, Yusen Xie, Michael Yu Wang, and Jun Ma, IEEE Robotics and Automation Letters, 2024 [paper]
Geometry-Aware Safety-Critical Local Reactive Controller for Robot Navigation in Unknown and Cluttered Environments.
Joint with Yulin Li, Kai Chen, Chunxin Zheng, Haichao Liu, and Jun Ma, IEEE Robotics and Automation Letters, 2024 [paper]
A correlatively sparse Lagrange multiplier expression relaxation for polynomial optimization.
Joint with Zheng Qu, SIAM Journal on Optimization, 2024 [paper]
Nash equilibrium problems of polynomials.
Joint with Jiawang Nie, Mathematics of Operations Research, 2023 [paper]
Rational generalized Nash equilibrium problems.
On the homotopy method for Generalized Nash Equilibrium Problems.
Joint with Kisun Lee, Journal of Scientific Computing, 2023 [paper]
Dehomogenization for completely positive tensors.
Convex generalized Nash equilibrium problems and polynomial optimization.
Joint with Jiawang Nie, Mathematical Programming, 2023 [paper]
The Gauss-Seidel method for Generalized Nash Equilibrium Problems of polynomials.
Joint with Jiawang Nie and Lingling Xu, Computational Optimization and Applications, 2021 [paper]
