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Machine learning theory and application
Symmetry group of PDE and application in numerics (part I)
Symmetry group of PDE and application in numerics (part I)
Organizer
Speaker
Time
Friday, September 22, 2023 2:00 PM - 4:00 PM
Venue
A3-1-103
Online
Zoom 293 812 9202
(BIMSA)
Abstract
In this talk, we will focus on symmetry of PDE and report some relation with deep learning. It is a well known fact that Lie group is a fundamental tool to describe the symmetry. In the first part, basic preliminaries about symmetry group will be interpreted as prior knowledge.
Speaker Intro
Xiaopei Jiao received his bachelor's degree from the Zhiyuan College of Shanghai Jiao Tong University and his Ph.D. from the Department of Mathematical Sciences at Tsinghua University. He subsequently worked as a postdoctoral researcher at the Beijing Institute of Mathematical Sciences and Applications (BIMSA) and at the University of Twente in the Netherlands. His current research interests include finite-dimensional filtering theory, Yau-Yau filtering methods, physics-informed neural networks, and bioinformatics. His research focuses primarily on: (1) using geometric tools such as Lie algebras for solving partial differential equations and classifying nonlinear systems; (2) designing novel numerical algorithms based on physics-informed neural networks.