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Particle Approximation for Conditional Mean Field SDEs

发布日期:2025-12-03点击数:

报告人:李运章 副研究员(复旦大学)

时间:2025年12月08日 11:00-

地址:数统学院LD718


摘要:In this talk, we construct a type of interacting particle systems to approximate a class of stochastic different equations whose coefficients depend on the conditional probability distributions of the processes given partial observations. After proving the well-posedness and regularity of the particle systems, we establish a quantitative convergence result for the empirical measures of the particle systems in the Wasserstein space, as the number of particles increases. Moreover, we discuss an Euler-Maruyama scheme of the particle system and validate its strong convergence. A numerical experiment is conducted to illustrate our results. This talk is based on the joint work with Kai Du and Yuyang Ye.


邀请人:张志


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重庆大学数学与统计学院的前身是始建于1929年的重庆大学理学院和1937年建立的重庆大学商学院,理学院是重庆大学最早设立的三个学院之一,首任院长为数学家何鲁先生。