Moment and Polynomial Optimization, Generalized Nash Equilibrium Problems, Tensor Computation
A characterization for tightness of the sparse Moment-SOS hierarchy.
Generalized Nash equilibrium problems with quasi-linear constraints.
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, 2024 [arXiv]
Solving polynomial variational inequality problems via Lagrange multiplier expressions and Moment-SOS relaxations.
Algebraic degree of generalized Nash equilibrium problems.
Joint with Jiawang Nie and Kristian Ranestad, Science China Mathematics (to appear), 2024 [arXiv]
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]
