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Paper · arXiv

Graph Hierarchical Recurrence for Long-Range Generalization

Graph Neural Networks and Graph Transformers have become central to graph learning, combining expressive representation learning with sample-efficient inductive biases. Yet they remain fundamentally limited when predictions depend on correlations between distant graph regions. We address this limitation with Graph Hierarchical Recurrence (GHR), a novel framework that jointly operates on the input graph and a pooled hierarchical abstraction. We also show that existing models degrade more sharply under out-of-range generalization, where test instances require interactions across distances exceeding those observed during training. Despite its minimal design, GHR consistently strengthens ever...

AuthorsStefano Carotti, Marco Pacini, Alessio Gravina et al.
Primary categorycs.LG
Published18 May 2026
Last updated at source1 October 2026
cs.LGcs.AI
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