Abstractwe describe how neural networks may be used to learn solutions to the Yang-Baxter Equation using 2d spin chains of difference form as a concrete example. the talk is based on arxiv:2304.07247, which is joint work with Suvajit Majumder and Evgeny Skvortsov.Speaker IntroDr Shailesh Lal received his PhD from the Harish-Chandra Research Institute. His research interests are applications of ...
Abstract:We will review physics-informed neural network and summarize available extensions for applications in computational mechanics and beyond. We will also introduce new NNs that learn functionals and nonlinear operators from functions and corresponding responses for system identification. The universal approximation theorem of operators is suggestive of the potential of NNs in learning fro...