CMSA New Technologies in Mathematics Seminar: Neural diffusion PDEs, differential geometry, and graph neural networks
February 2, 2022 2:00 pm - 3:00 pm
via Zoom Video Conferencing
Michael Bronstein - University of Oxford / Twitter
In this talk, I will make connections between Graph Neural Networks (GNNs) and non-Euclidean diffusion equations. I will show that drawing on methods from the domain of differential geometry, it is possible to provide a principled view on such GNN architectural choices as positional encoding and graph rewiring as well as explain and remedy the phenomena of oversquashing and bottlenecks.