The Institute for Statistics and Mathematics is pleased to invite you to the next research seminar, taking place on campus:

Samuel Cohen (Mathematical Institute, University of Oxford):
Approximating PDEs With Wide Neural Networks
Friday, April 21, 2023, 10:30 am, Room D4.0.127

Abstract: Neural networks are a rich family of function approximators, which perform particularly well in high dimension. In this talk, we will consider training Neural Networks as approximators of the solutions of PDEs, using the 'deep Galerkin' and 'Q-PDE' algorithms. We will show conditions under which, in the limiting regime where the neural network becomes infinitely wide, the approximator can be proven to converge to the true Sobolev solution of the PDE, along with numerical examples.

We aim to stream all on-campus talks via Zoom. A direct link to the stream will be posted on our website.

For further information and the seminar schedule, please see:
www.wu.ac.at/en/statmath/research/resseminar