Dr. Shihu LI
Jiangsu Normal University
Dr. Shihu Li, Associate Professor of Jiangsu Normal University, will introduce mean field stochastic partial differential equations with nonlinear kernels and their applications in data science and machine learning. His research focuses on stochastic analysis, and he has led several research grants.
Abstract 摘要
This talk focuses on the mean field stochastic partial differential equations. We first show the existence and uniqueness of solutions for mean field stochastic partial differential equations in the variational framework, then establish the convergence of the empirical laws of interacting systems to the law of solutions of mean field equations. As applications, we study a class of interacting particle systems with polynomial kernels, which are widely encountered in fields such as the data science and the machine learning.
Speaker Biography 讲者简介
Dr. Shihu Li is an Associate Professor at Jiangsu Normal University. He received his Ph.D. in Probability and Mathematical Statistics from Nankai University and works primarily on stochastic analysis and stochastic partial differential equations. He has published nearly 30 SCI-indexed papers in journals including Probability Theory and Related Fields, The Annals of Applied Probability, SIAM Journal on Mathematical Analysis, and Journal of Differential Equations. He has led projects funded by the National Natural Science Foundation of China and the Natural Science Foundation of Jiangsu Province, and has received the Second Prize of the Jiangsu Provincial Natural Science Award.
Topics 涉及主题
Well-posedness of mean field SPDEs Empirical measure convergence Particle systems and applications