Next Level Message-Passing with Hierarchical Support Graphs

Fuente: arXiv
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Autori principali: Vonessen, Carlos, Grötschla, Florian, Wattenhofer, Roger
Natura: Preprint
Pubblicazione: 2024
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author Vonessen, Carlos
Grötschla, Florian
Wattenhofer, Roger
author_facet Vonessen, Carlos
Grötschla, Florian
Wattenhofer, Roger
contents Message-Passing Neural Networks (MPNNs) are extensively employed in graph learning tasks but suffer from limitations such as the restricted scope of information exchange, by being confined to neighboring nodes during each round of message passing. Various strategies have been proposed to address these limitations, including incorporating virtual nodes to facilitate global information exchange. In this study, we introduce the Hierarchical Support Graph (HSG), an extension of the virtual node concept created through recursive coarsening of the original graph. This approach provides a flexible framework for enhancing information flow in graphs, independent of the specific MPNN layers utilized. We present a theoretical analysis of HSGs, investigate their empirical performance, and demonstrate that HSGs can surpass other methods augmented with virtual nodes, achieving state-of-the-art results across multiple datasets.
format Preprint
id arxiv_https___arxiv_org_abs_2406_15852
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Next Level Message-Passing with Hierarchical Support Graphs
Vonessen, Carlos
Grötschla, Florian
Wattenhofer, Roger
Machine Learning
Artificial Intelligence
Message-Passing Neural Networks (MPNNs) are extensively employed in graph learning tasks but suffer from limitations such as the restricted scope of information exchange, by being confined to neighboring nodes during each round of message passing. Various strategies have been proposed to address these limitations, including incorporating virtual nodes to facilitate global information exchange. In this study, we introduce the Hierarchical Support Graph (HSG), an extension of the virtual node concept created through recursive coarsening of the original graph. This approach provides a flexible framework for enhancing information flow in graphs, independent of the specific MPNN layers utilized. We present a theoretical analysis of HSGs, investigate their empirical performance, and demonstrate that HSGs can surpass other methods augmented with virtual nodes, achieving state-of-the-art results across multiple datasets.
title Next Level Message-Passing with Hierarchical Support Graphs
topic Machine Learning
Artificial Intelligence
url https://arxiv.org/abs/2406.15852