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Paper · arXiv

Benchmarking Sheaf Neural Networks for Inductive Tasks

Sheaf Neural Networks (SNNs) generalize message passing by replacing scalar edge weights of standard Graph Neural Networks (GNNs) with learnable, edge-dependent restriction maps between node stalks. Despite their strong theoretical foundations and promising transductive results, SNNs have been evaluated almost exclusively on transductive node classification, leaving their behaviour under inductive protocols unknown. We address this gap through the first systematic benchmark of the sheaf design space, evaluating three diffusion mechanisms (neural sheaf diffusion, sheaf attention, and sheaf attention with Graph Attention Network v2), three restriction-map parameterizations, three stalk dime...

AuthorsStefano Fiorini, Edoardo Coppola, Pietro Liò
Primary categorycs.LG
Published3 August 2026
Last updated at source3 August 2026
cs.LG
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