Numerical Optimization
Generalized Nash Equilibrium Problems
Applications and Data Science
A brief statement of my research can be seen here.
"Convex Generalized Nash Equilibrium Problems and Polynomial Optimization." Joint with J. Nie. (submitted to Math. Program.) [arXiv]
"Nash Equilibrium Problems of Polynomials." arXiv preprint arXiv:2006.09490 (2020). Joint with J. Nie. (submitted to Math. Program.) [arXiv]
"The Gauss-Seidel Method for Generalized Nash Equilibrium Problems of Polynomials." Joint with J. Nie and L. Xu. Comput. Optim. Appl., (2020). https://doi.org/10.1007/s10589-020-00242-7 [paper]
"Comparative study on theoretical and machine learning methods for acquiring compressed liquid densities of 1, 1, 1, 2, 3, 3, 3-heptafluoropropane (r227ea) via song and mason equation, support vector machine, and artificial neural networks." Joint with H. Li, et al. Applied Sciences, 6.1 (2016): 25. [paper]
"Extreme learning machine: a new alternative for measuring heat collection rate and heat loss coefficient of water-in-glass evacuated tube solar water heaters." Joint with Z. Liu, H. Li, et al. SpringerPlus, 5, no. 1 (2016): 1-8. [paper]
“Nash Equilibrium Problems of Polynomials.”, AMS Special Session on Optimization and Algebraic Geometry, II, 2021 Joint Mathematics Meetings (JMM), virtual, USA, January 07, 2021
“Nash Equilibrium Problems of Polynomials.”, Optimization Seminar, University of California, San Diego, San Diego, CA, USA, November 2020. [slides]
“The Gauss-Seidel Method for Generalized Nash Equilibrium Problems of Polynomials”, Optimization Seminar, University of California, San Diego, San Diego, CA, USA, February 2019.
Conference and Workshop Attendance/Invitation:
“The International Conference on Polynomial and Tensor Optimization (ICPTO 2018)”, Xiangtan, Hunan, China, December 17-21, 2018
The ICERM workshop “Real Algebraic Geometry and Optimization”, Providence, RI, USA, October 15–19, 2018.
