most citedBeltrami Flow and Neural Diffusion on Graphs

15 citations · 40 across the 5 of their papers we have counts for

collaborators

5 papers

cs.LG2022★ 12 cited

Understanding convolution on graphs via energies

Francesco Di Giovanni, James Rowbottom, Benjamin P. Chamberlain +2

Graph Neural Networks (GNNs) typically operate by message-passing, where the state of a node is updated based on the information received from its neighbours. Most message-passing…

cs.LG2022★ 2 cited

Equivariant Mesh Attention Networks

Sourya Basu, Jose Gallego-Posada, Francesco Viganò +2

Equivariance to symmetries has proven to be a powerful inductive bias in deep learning research. Recent works on mesh processing have concentrated on various kinds of natural symme…

cs.LG2022★ 9 cited

Graph-Coupled Oscillator Networks

T. Konstantin Rusch, Benjamin P. Chamberlain, James Rowbottom +2

We propose Graph-Coupled Oscillator Networks (GraphCON), a novel framework for deep learning on graphs. It is based on discretizations of a second-order system of ordinary differen…

cs.LG2021★ 15 cited

Beltrami Flow and Neural Diffusion on Graphs

Benjamin Paul Chamberlain, James Rowbottom, Davide Eynard +3

We propose a novel class of graph neural networks based on the discretised Beltrami flow, a non-Euclidean diffusion PDE. In our model, node features are supplemented with positiona…

cs.LG2021★ 2 cited

GRAND: Graph Neural Diffusion

Benjamin Paul Chamberlain, James Rowbottom, Maria Gorinova +3

We present Graph Neural Diffusion (GRAND) that approaches deep learning on graphs as a continuous diffusion process and treats Graph Neural Networks (GNNs) as discretisations of an…