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Over-Squashing in GNNs and Causal Inference of Rewiring Strategies

arXiv

Official implementation of the paper:

Over-Squashing in GNNs and Causal Inference of Rewiring Strategies

🏆 Accepted at CIKM 2025, Seoul, Republic of Korea
Danial Saber, Amirali Salehi-Abari
Ontario Tech University, 2025

🔍 Overview

Graph Neural Networks (GNNs) achieve state-of-the-art performance across domains such as recommendation systems, material design, and drug repurposing.
However, message-passing GNNs suffer from over-squashing—the exponential compression of long-range information from distant nodes—which limits their expressivity.

This repository provides:

  • A topology-focused, theoretically grounded metric for measuring over-squashing based on decay rates of node-pair sensitivities.
  • Four graph-level statistics for characterizing over-squashing:
    Prevalence, Intensity, Variability, Extremity.
  • A causal inference framework for evaluating the effectiveness of rewiring strategies.
  • Implementations of rewiring baselines: FoSR, DIGL, SDRF, BORF, and GTR.
  • Extensive experiments on graph and node classification benchmarks, enabling diagnosis of when rewiring is beneficial.

Our plug-and-play diagnostic tool lets practitioners decide—before training—whether rewiring is likely to pay off.


Getting Started

  • For reproducing all the results, run automated_graph_level_evaluation() or automated_node_level_evaluation() in Treatment_Effects.py file.

Citing Us/BibTex

Please cite our work if you find it useful in any way.

@article{saber2024scalable,
  title={Scalable Expressiveness through Preprocessed Graph Perturbations},
  author={Saber, Danial and Salehi-Abari, Amirali},
  journal={arXiv preprint arXiv:2406.11714},
  year={2024}
}

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Over-Squashing in GNNs and Causal Inference of Rewiring Strategies (CIKM 2025)

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