Scientific seminar "Nonpotential dynamical systems and neural network technologies"
On May 24 at 19:00 p.m. (Moscow time)
Speaker: Shorokhov Sergey, associate professor of Department of Information Technology.
Topic: “Deep learning methods for solving boundary value problems with variational formulations”.
We study approaches based on deep neural networks for solving boundary value problems for partial differential equations. Application of classical and non-classical variational principles in training neural network models that approximate solutions to boundary value problems is discussed. Examples of constructing neural network approximations for solving a boundary value problem for a second-order partial differential equation are presented.