*主持人：朱升峰 教授

*讲座内容简介：

Bayesian filtering and transfer operators have significant connection and play important roles in stochastic dynamical systems. There exist two transfer operators: Koopman operator and Perron-Frobenius operator. In the talk, I will discuss two problems: (1) Bayesian filtering is used to correct the approximation of Koopman operator in noisy dynamical systems; (2) Perron-Frobenius operator filter is derived in Bayesian filtering. The application is investigated in data-driven modeling.

*主讲人简介：

姜立建，同济大学数学院教授，主要研究方向是多尺度计算方法、模型降阶和科学机器学习。曾获国家青年人才计划支持，现任JCAM， JCMDS等期刊编委。