Workshop: Differentiable Almost Everything: Differentiable Relaxations, Algorithms, Operators, and Simulators

Probabilistic Task-Adaptive Graph Rewiring

Chendi Qian · Andrei Manolache · Kareem Ahmed · Zhe Zeng · Guy Van den Broeck · Mathias Niepert · Christopher Morris

Abstract: Message-passing graph neural networks (MPNNs) emerged as powerful tools for processing graph-structured input. However, they operate on a fixed graph structure, ignoring potential noise and missing information. In addition, due to their purely local aggregation mechanism, they are susceptible to phenomena such as over-smoothing, over-squashing, or under-reaching. Hence, devising principled approaches for learning to focus on graph structure relevant to the given prediction task remains an open challenge. In this work, leveraging recent progress in differentiable $k$-subset sampling, we devise a novel task-adaptive graph rewiring approach, which learns to add relevant edges while omitting less beneficial ones. We empirically demonstrate on synthetic datasets that our approach effectively alleviates the issues of over-squashing and under-reaching. In addition, on established real-world datasets, we demonstrate that our method is competitive or superior to conventional MPNN models and graph transformer architectures regarding predictive performance and computational~efficiency.

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