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Understanding Oversquashing in GNNs through the Lens of Effective Resistance

ICML 2023 · Graph learning › GNN architectures · approach: Graph rewiring and scalable message passing · 5 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Use GTR rewiring instead of FoSRR-GCN · Mutag, Proteins, Enzymes, Reddit-Binary, IMDB-Binary, CollabaccuracyHelped
Use GTR rewiring instead of FoSRGIN and R-GIN · Graph classification datasetsaccuracyMixed
Add edges selected to reduce total effective resistanceGraph neural networks · Graph classification datasetsaccuracyHelped
Vary the number of added edges rather than using one fixed count (ablation)R-GIN · Graph classification datasetsaccuracyMixed
Add more edges beyond the initially helpful edges (ablation)R-GIN · Proteins and IMDB-BinaryaccuracyNo clear effect
Increase the number of added edges (ablation)R-GIN · EnzymesaccuracyHelped
Increase hidden dimension (ablation)R-GIN · Graph classification datasetsaccuracyHelped
Combine rewiring with increased hidden dimension (ablation)R-GIN · Graph classification datasetsaccuracyHelped
Use GTR rather than rewiring at every layer with full adjacencyGraph neural networks · Graph classification datasetsaccuracyMixed

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