BIMSA >
BIMSA Thursday Machine Learning Applications Seminar
Approximation error of operator learning for parabolic PDE
Approximation error of operator learning for parabolic PDE
Organizers
Speaker
Time
Sunday, June 25, 2023 3:30 PM - 5:00 PM
Venue
A3-2a-201
Online
Zoom 518 868 7656
(BIMSA)
Abstract
In this talk, some well known literatures about approximation error of operator learning will be reviewed and discussed. Especially, application of specific PDE by this approximation analysis will be presented.
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.