Search Results for author: Jan Böker

Found 1 papers, 1 papers with code

Fine-grained Expressivity of Graph Neural Networks

1 code implementation NeurIPS 2023 Jan Böker, Ron Levie, Ningyuan Huang, Soledad Villar, Christopher Morris

In particular, we characterize the expressive power of MPNNs in terms of the tree distance, which is a graph distance based on the concept of fractional isomorphisms, and substructure counts via tree homomorphisms, showing that these concepts have the same expressive power as the $1$-WL and MPNNs on graphons.

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