Adapting to Heterophilic Graph Data with Structure-Guided Neighbor Discovery

Fuente: arXiv
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Auteurs principaux: Tenorio, Victor M., Navarro, Madeline, Rey, Samuel, Segarra, Santiago, Marques, Antonio G.
Format: Preprint
Publié: 2025
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author Tenorio, Victor M.
Navarro, Madeline
Rey, Samuel
Segarra, Santiago
Marques, Antonio G.
author_facet Tenorio, Victor M.
Navarro, Madeline
Rey, Samuel
Segarra, Santiago
Marques, Antonio G.
contents Graph Neural Networks (GNNs) often struggle with heterophilic data, where connected nodes may have dissimilar labels, as they typically assume homophily and rely on local message passing. To address this, we propose creating alternative graph structures by linking nodes with similar structural attributes (e.g., role-based or global), thereby fostering higher label homophily on these new graphs. We theoretically prove that GNN performance can be improved by utilizing graphs with fewer false positive edges (connections between nodes of different classes) and that considering multiple graph views increases the likelihood of finding such beneficial structures. Building on these insights, we introduce Structure-Guided GNN (SG-GNN), an architecture that processes the original graph alongside the newly created structural graphs, adaptively learning to weigh their contributions. Extensive experiments on various benchmark datasets, particularly those with heterophilic characteristics, demonstrate that our SG-GNN achieves state-of-the-art or highly competitive performance, highlighting the efficacy of exploiting structural information to guide GNNs.
format Preprint
id arxiv_https___arxiv_org_abs_2506_08871
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Adapting to Heterophilic Graph Data with Structure-Guided Neighbor Discovery
Tenorio, Victor M.
Navarro, Madeline
Rey, Samuel
Segarra, Santiago
Marques, Antonio G.
Machine Learning
Signal Processing
Graph Neural Networks (GNNs) often struggle with heterophilic data, where connected nodes may have dissimilar labels, as they typically assume homophily and rely on local message passing. To address this, we propose creating alternative graph structures by linking nodes with similar structural attributes (e.g., role-based or global), thereby fostering higher label homophily on these new graphs. We theoretically prove that GNN performance can be improved by utilizing graphs with fewer false positive edges (connections between nodes of different classes) and that considering multiple graph views increases the likelihood of finding such beneficial structures. Building on these insights, we introduce Structure-Guided GNN (SG-GNN), an architecture that processes the original graph alongside the newly created structural graphs, adaptively learning to weigh their contributions. Extensive experiments on various benchmark datasets, particularly those with heterophilic characteristics, demonstrate that our SG-GNN achieves state-of-the-art or highly competitive performance, highlighting the efficacy of exploiting structural information to guide GNNs.
title Adapting to Heterophilic Graph Data with Structure-Guided Neighbor Discovery
topic Machine Learning
Signal Processing
url https://arxiv.org/abs/2506.08871