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Data Science Plus Dynamical System:What Can We Learn

At the invitation of the school of mathematics science of Nanjing Normal University, Professor Jinqiao Duan, Professor of Illinois Institute of technology of the United States, conducted online academic exchange in the school of science and technology of our university on the morning of June 27, 2020, and made the topic "Data Science Plus Dynamical System:What Can We Learn" in the 505 conference room of the Xingjian building. Professor Hongjun Gao of the school of mathematics science presided over the report meeting, and some teachers of the school of mathematics science, masters and doctoral students of Applied Mathematics participated in the report meeting.

Professor Jinqiao Duan, professor of the Department of Applied Mathematics, Illinois Institute of Technology, Ph.D., director of the laboratory of stochastic dynamic systems and nonlinear dynamic systems. The main research areas are the theory and application of stochastic dynamic systems and stochastic partial differential equations. He is the recipient of the Overseas Distinguished Scholars Fund of the Chinese Academy of Sciences and the Distinguished Youth Fund (Class B) of the National Natural Science Foundation of China. He has published many research papers in world-class mathematics magazines, and has been invited to make conference reports at important international academic conferences. He is currently editor of many well-known international journals.

Professor Duan first pointed out that it is reasonable to use the theory of stochastic dynamic system to consider Date Science. Then Professor Duan used two methods to deal with Date Science. The first method is to use partial probability. First, the Drift diffusion & jump measure is expressed by a probabilistic density, and then the Drift diffusion & jump measure is passed through the sample path data using the generalized Nonlocal Kramers-Moyal formulas. The other method is to use functional analysis to deal with it. Constructing infinite-dimensional generators of equations can also solve problems. Finally, Professor Duan conducted a numerical simulation of the results obtained by these two methods, from which you can intuitively see the relevant characteristics of dynamics.

At the end of the talk, the students and teachers here put forward their own questions about the contents of the talk, and Professor Duan gave the answers with more details. The seminar had a complete success in the warm applause of teachers and students.