Thoughts and Theory, Rethinking GNNs

Graph Neural Networks as Neural Diffusion PDEs

Graph neural networks (GNNs) are intimately related to differential equations governing information diffusion on graphs. Thinking of GNNs as partial differential equations (PDEs) leads to a new broad class of GNNs that are able to address in a principled way some of the prominent issues of current Graph

Michael Bronstein
Towards Data Science
14 min readJun 18, 2021

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