Xianjin Yang

I am currently a Postdoctoral Scholar Research Associate in Computing and Mathematical Sciences at California Institute of Technology sponsored by Professors Houman Owhadi and Andrew M. Stuart. I previously held a postdoctoral position at Tsinghua University and Beijing Institute of Mathematical Sciences and Applications hosted by Professors Shiu-Yuen Cheng and Lingyun Qiu. I earned Ph.D. and master degrees in applied mathematics at King Abdullah University of Science and Technology under the supervision of Professor Diogo Gomes.

My research centers on developing computational methods in numerical simulations, inverse problems, and data-driven scientific law discovery. I specialize in leveraging Gaussian Processes (GPs) to create probabilistic approaches for solving Partial Differential Equations (PDEs) and uncovering hidden patterns in data. My work extends to operator learning and the application of GPs in solving inverse problems. Additionally, I am focused on developing optimization techniques and numerical algorithms to solve mean field games and explore their broader applications.