Neural sheaf diffusion: a topological perspective on heterophily and oversmoothing in GNNs

Cellular sheaves equip graphs with a “geometrical” structure by assigning vector spaces and linear maps to nodes and edges. Graph Neural Networks (GNNs) implicitly assume a graph with a trivial underlying sheaf. This choice is reflected in the structure of the graph Laplacian operator, the propertie...

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Bibliographic Details
Main Authors: Bodnar, C, Di Giovanni, F, Chamberlain, BP, Liò, P, Bronstein, M
Format: Conference item
Language:English
Published: Curran Associates 2023