How powerful are graph neural networks?

Expressive power of graph neural networks and the Weisfeiler-Lehman test

Do you have a feeling that deep learning on graphs is a bunch of heuristics that work sometimes and nobody has a clue why? In this post, I discuss the graph isomorphism problem, the Weisfeiler-Lehman heuristic for graph isomorphism testing, and how it can be used to analyse

Michael Bronstein
9 min readJun 26, 2020

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