PANDA: Expanded Width-Aware Message Passing Beyond Rewiring

Fuente: arXiv
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Auteurs principaux: Choi, Jeongwhan, Park, Sumin, Wi, Hyowon, Cho, Sung-Bae, Park, Noseong
Format: Preprint
Publié: 2024
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author Choi, Jeongwhan
Park, Sumin
Wi, Hyowon
Cho, Sung-Bae
Park, Noseong
author_facet Choi, Jeongwhan
Park, Sumin
Wi, Hyowon
Cho, Sung-Bae
Park, Noseong
contents Recent research in the field of graph neural network (GNN) has identified a critical issue known as "over-squashing," resulting from the bottleneck phenomenon in graph structures, which impedes the propagation of long-range information. Prior works have proposed a variety of graph rewiring concepts that aim at optimizing the spatial or spectral properties of graphs to promote the signal propagation. However, such approaches inevitably deteriorate the original graph topology, which may lead to a distortion of information flow. To address this, we introduce an expanded width-aware (PANDA) message passing, a new message passing paradigm where nodes with high centrality, a potential source of over-squashing, are selectively expanded in width to encapsulate the growing influx of signals from distant nodes. Experimental results show that our method outperforms existing rewiring methods, suggesting that selectively expanding the hidden state of nodes can be a compelling alternative to graph rewiring for addressing the over-squashing.
format Preprint
id arxiv_https___arxiv_org_abs_2406_03671
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle PANDA: Expanded Width-Aware Message Passing Beyond Rewiring
Choi, Jeongwhan
Park, Sumin
Wi, Hyowon
Cho, Sung-Bae
Park, Noseong
Machine Learning
Artificial Intelligence
Recent research in the field of graph neural network (GNN) has identified a critical issue known as "over-squashing," resulting from the bottleneck phenomenon in graph structures, which impedes the propagation of long-range information. Prior works have proposed a variety of graph rewiring concepts that aim at optimizing the spatial or spectral properties of graphs to promote the signal propagation. However, such approaches inevitably deteriorate the original graph topology, which may lead to a distortion of information flow. To address this, we introduce an expanded width-aware (PANDA) message passing, a new message passing paradigm where nodes with high centrality, a potential source of over-squashing, are selectively expanded in width to encapsulate the growing influx of signals from distant nodes. Experimental results show that our method outperforms existing rewiring methods, suggesting that selectively expanding the hidden state of nodes can be a compelling alternative to graph rewiring for addressing the over-squashing.
title PANDA: Expanded Width-Aware Message Passing Beyond Rewiring
topic Machine Learning
Artificial Intelligence
url https://arxiv.org/abs/2406.03671