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Graph Neural Networks (GNNs) are models that leverage the graph structure to transmit information between nodes, typically through the message-passing operation. While widely successful, this approach is well known to suffer from the…

Graph Neural Networks (GNNs) have boosted the performance of many graph related tasks such as node classification and graph classification. Recent researches show that graph neural networks are vulnerable to adversarial attacks, which…

Machine Learning · Computer Science 2019-10-01 Yao Ma , Suhang Wang , Tyler Derr , Lingfei Wu , Jiliang Tang

Over-squashing is a challenge in training graph neural networks for tasks involving long-range dependencies. In such tasks, a GNN's receptive field should be large enough to enable communication between distant nodes. However, gathering…

Machine Learning · Computer Science 2025-08-29 Tuğrul Hasan Karabulut , İnci M. Baytaş

Graph Neural Networks (GNNs) leverage the graph structure to transmit information between nodes, typically through the message-passing mechanism. While these models have found a wide variety of applications, they are known to suffer from…

Machine Learning · Computer Science 2025-10-23 Hugh Blayney , Álvaro Arroyo , Xiaowen Dong , Michael M. Bronstein

Graph Neural Networks struggle to capture long-range dependencies due to over-squashing, where information from exponentially growing neighborhoods must pass through a small number of structural bottlenecks. While recent rewiring methods…

Machine Learning · Computer Science 2026-03-13 Bertran Miquel-Oliver , Manel Gil-Sorribes , Victor Guallar , Alexis Molina

Message passing neural networks iteratively generate node embeddings by aggregating information from neighboring nodes. With increasing depth, information from more distant nodes is included. However, node embeddings may be unable to…

Machine Learning · Computer Science 2024-03-29 Franka Bause , Samir Moustafa , Johannes Langguth , Wilfried N. Gansterer , Nils M. Kriege

Graph Neural Networks (GNNs) have emerged as the leading paradigm for learning over graph-structured data. However, their performance is limited by issues inherent to graph topology, most notably oversquashing and oversmoothing. Recent…

Machine Learning · Computer Science 2025-08-29 Hugo Attali , Thomas Papastergiou , Nathalie Pernelle , Fragkiskos D. Malliaros

Graph neural networks (GNNs) have achieved strong performance across various real-world domains. Nevertheless, they suffer from oversquashing, where long-range information is distorted as it is compressed through limited message-passing…

Machine Learning · Computer Science 2026-04-03 Tanvir Hossain , Muhammad Ifte Khairul Islam , Lilia Chebbah , Charles Fanning , Esra Akbas

Graph Neural Networks (GNNs) have been shown to achieve competitive results to tackle graph-related tasks, such as node and graph classification, link prediction and node and graph clustering in a variety of domains. Most GNNs use a message…

Machine Learning · Computer Science 2023-03-07 Adrian Arnaiz-Rodriguez , Ahmed Begga , Francisco Escolano , Nuria Oliver

Deep neural networks are ubiquitously adopted in many applications, such as computer vision, natural language processing, and graph analytics. However, well-trained neural networks can make prediction errors after deployment as the world…

Machine Learning · Computer Science 2024-10-29 Zhimeng Jiang , Zirui Liu , Xiaotian Han , Qizhang Feng , Hongye Jin , Qiaoyu Tan , Kaixiong Zhou , Na Zou , Xia Hu

Since the proposal of the graph neural network (GNN) by Gori et al. (2005) and Scarselli et al. (2008), one of the major problems in training GNNs was their struggle to propagate information between distant nodes in the graph. We propose a…

Machine Learning · Computer Science 2021-03-10 Uri Alon , Eran Yahav

Message passing graph neural networks (GNNs) are a popular learning architectures for graph-structured data. However, one problem GNNs experience is oversquashing, where a GNN has difficulty sending information between distant nodes.…

Machine Learning · Computer Science 2023-06-07 Mitchell Black , Zhengchao Wan , Amir Nayyeri , Yusu Wang

A common problem in Message-Passing Neural Networks is oversquashing -- the limited ability to facilitate effective information flow between distant nodes. Oversquashing is attributed to the exponential decay in information transmission as…

Machine Learning · Computer Science 2025-03-03 Alessio Gravina , Moshe Eliasof , Claudio Gallicchio , Davide Bacciu , Carola-Bibiane Schönlieb

This paper explores sparsification methods as a form of regularization in Graph Neural Networks (GNNs) to address high memory usage and computational costs in large-scale graph applications. Using techniques from Network Science and Machine…

Machine Learning · Computer Science 2026-02-12 Charlotte Cambier van Nooten , Christos Aronis , Yuliya Shapovalova , Lucia Cavallaro

Graph Neural Networks (GNNs) have achieved remarkable success across various domains. However, recent theoretical advances have identified fundamental limitations in their information propagation capabilities, such as over-squashing, where…

Machine Learning · Computer Science 2025-11-04 Ivan Marisca , Jacob Bamberger , Cesare Alippi , Michael M. Bronstein

Deploying graph neural networks (GNNs) on whole-graph classification or regression tasks is known to be challenging: it often requires computing node features that are mindful of both local interactions in their neighbourhood and the global…

Machine Learning · Computer Science 2022-12-22 Andreea Deac , Marc Lackenby , Petar Veličković

Given graphs as input, Graph Neural Networks (GNNs) support the inference of nodes, edges, attributes, or graph properties. Graph Rewriting investigates the rule-based manipulation of graphs to model complex graph transformations. We…

Machine Learning · Computer Science 2023-05-31 Adam Machowczyk , Reiko Heckel

Graph neural networks (GNNs) are a powerful solution for various structure learning applications due to their strong representation capabilities for graph data. However, traditional GNNs, relying on message-passing mechanisms that gather…

Machine Learning · Computer Science 2024-03-19 Wei Duan , Jie Lu , Yu Guang Wang , Junyu Xuan

Graph Neural Networks (GNNs) perform computations on graphs by routing the signal between graph regions using a graph shift operator or a message passing scheme. Often, the propagation of the signal leads to a loss of information, where the…

Machine Learning · Computer Science 2026-05-14 Eden Nagar , Ya-Wei Eileen Lin , Ron Levie

Graph neural networks (GNNs) are a type of neural network capable of learning on graph-structured data. However, training GNNs on large-scale graphs is challenging due to iterative aggregations of high-dimensional features from neighboring…

Machine Learning · Computer Science 2024-09-18 Nikolai Merkel , Pierre Toussing , Ruben Mayer , Hans-Arno Jacobsen