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Node features of graph neural networks (GNNs) tend to become more similar with the increase of the network depth. This effect is known as over-smoothing, which we axiomatically define as the exponential convergence of suitable similarity…

机器学习 · 计算机科学 2023-03-21 T. Konstantin Rusch , Michael M. Bronstein , Siddhartha Mishra

The drastic performance degradation of Graph Neural Networks (GNNs) as the depth of the graph propagation layers exceeds 8-10 is widely attributed to a phenomenon of Over-smoothing. Although recent research suggests that Over-smoothing may…

机器学习 · 计算机科学 2024-08-08 Jie Peng , Runlin Lei , Zhewei Wei

Graph Neural Networks (GNNs) have achieved a lot of success with graph-structured data. However, it is observed that the performance of GNNs does not improve (or even worsen) as the number of layers increases. This effect has known as…

机器学习 · 计算机科学 2023-01-10 Yeskendir Koishekenov

Oversmoothing is a central challenge of building more powerful Graph Neural Networks (GNNs). While previous works have only demonstrated that oversmoothing is inevitable when the number of graph convolutions tends to infinity, in this…

机器学习 · 计算机科学 2023-03-02 Xinyi Wu , Zhengdao Chen , William Wang , Ali Jadbabaie

The over-smoothing problem is an obstacle of developing deep graph neural network (GNN). Although many approaches to improve the over-smoothing problem have been proposed, there is still a lack of comprehensive understanding and conclusion…

机器学习 · 计算机科学 2023-03-02 Weichen Zhao , Chenguang Wang , Congying Han , Tiande Guo

Graph Neural Networks (GNNs) face two fundamental challenges when scaled to deep architectures: oversmoothing, where node representations converge to indistinguishable vectors, and oversquashing, where information from distant nodes fails…

机器学习 · 计算机科学 2026-03-30 Mostafa Haghir Chehreghani

Over-smoothing is a severe problem which limits the depth of Graph Convolutional Networks. This article gives a comprehensive analysis of the mechanism behind Graph Convolutional Networks and the over-smoothing effect. The article proposes…

机器学习 · 计算机科学 2022-02-02 Fang Sun

Graphs are useful for representing various realworld objects. However, graph neural networks (GNNs) tend to suffer from over-smoothing, where the representations of nodes of different classes become similar as the number of layers…

机器学习 · 计算机科学 2024-10-22 Jun Kato , Airi Mita , Keita Gobara , Akihiro Inokuchi

Oversmoothing has long been identified as a major limitation of Graph Neural Networks (GNNs): input node features are smoothed at each layer and converge to a non-informative representation, if the weights of the GNN are sufficiently…

机器学习 · 计算机科学 2026-03-16 Nicolas Keriven

Graph Neural Networks (GNNs) set the state-of-the-art in representation learning for graph-structured data. They are used in many domains, from online social networks to complex molecules. Most GNNs leverage the message-passing paradigm and…

机器学习 · 计算机科学 2025-03-06 Tuğrul Hasan Karabulut , İnci M. Baytaş

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 are powerful models for learning from graph-structured data, yet their effectiveness is often limited by two critical challenges: over-squashing, where information from distant nodes is excessively compressed, and…

机器学习 · 计算机科学 2026-05-05 Hugo Attali , Nathalie Pernelle , Davide Buscaldi , Fragkiskos D. Malliaros

Graph Neural Networks are powerful models for learning from graph-structured data, yet their effectiveness is often limited by two critical challenges: over-squashing, where information from distant nodes is excessively compressed, and…

机器学习 · 计算机科学 2026-05-04 Hugo Attali , Davide Buscaldi , Nathalie Pernelle , Fragkiskos D. Malliaros

In this work, we propose to train a graph neural network via resampling from a graphon estimate obtained from the underlying network data. More specifically, the graphon or the link probability matrix of the underlying network is first…

机器学习 · 计算机科学 2021-09-07 Ziqing Hu , Yihao Fang , Lizhen Lin

Graph neural networks (GNNs) are widely used in domains like social networks and biological systems. However, the locality assumption of GNNs, which limits information exchange to neighboring nodes, hampers their ability to capture…

机器学习 · 计算机科学 2023-07-04 Tingting Dan , Jiaqi Ding , Ziquan Wei , Shahar Z Kovalsky , Minjeong Kim , Won Hwa Kim , Guorong Wu

Message Passing Graph Neural Networks are known to suffer from two problems that are sometimes believed to be diametrically opposed: over-squashing and over-smoothing. The former results from topological bottlenecks that hamper the…

机器学习 · 计算机科学 2024-10-31 Adarsh Jamadandi , Celia Rubio-Madrigal , Rebekka Burkholz

Graph Neural Networks (GNNs) have achieved promising performance on a wide range of graph-based tasks. Despite their success, one severe limitation of GNNs is the over-smoothing issue (indistinguishable representations of nodes in different…

机器学习 · 计算机科学 2019-11-19 Deli Chen , Yankai Lin , Wei Li , Peng Li , Jie Zhou , Xu Sun

Most graph neural networks follow the message passing mechanism. However, it faces the over-smoothing problem when multiple times of message passing is applied to a graph, causing indistinguishable node representations and prevents the…

机器学习 · 计算机科学 2023-02-06 Yunchong Song , Chenghu Zhou , Xinbing Wang , Zhouhan Lin

Graph neural networks compute node representations by performing multiple message-passing steps that consist in local aggregations of node features. Having deep models that can leverage longer-range interactions between nodes is hindered by…

机器学习 · 计算机科学 2025-06-27 Alessio Micheli , Domenico Tortorella

Learning useful node and graph representations with graph neural networks (GNNs) is a challenging task. It is known that deep GNNs suffer from over-smoothing where, as the number of layers increases, node representations become nearly…

机器学习 · 计算机科学 2022-02-28 Pantelis Elinas , Edwin V. Bonilla
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