Kipf & Welling strike back

Graph Neural Networks as gradient flows

Under a few simple constraints, Graph Neural Networks can be derived as gradient flows minimising a learnable energy that describes attractive and repulsive forces in the feature space. This formalism allows the interpretation of GNNs as physical systems and sheds light onto how the interaction between the graph

Michael Bronstein
Towards Data Science
18 min readOct 14, 2022

--

--

--

DeepMind Professor of AI @Oxford. Serial startupper. ML for graphs, biochemistry, drug design, and animal communication.