English
Related papers

Related papers: Simplifying the Theory on Over-Smoothing

200 papers

Graph convolutional networks (GCNs) have achieved remarkable learning ability for dealing with various graph structural data recently. In general, deep GCNs do not work well since graph convolution in conventional GCNs is a special form of…

Machine Learning · Computer Science 2021-12-08 Zhilong Xiong , Jia Cai

Graph convolutional networks learn effective node embeddings that have proven to be useful in achieving high-accuracy prediction results in semi-supervised learning tasks, such as node classification. However, these networks suffer from the…

Machine Learning · Computer Science 2020-10-21 Mahsa Mesgaran , A. Ben Hamza

Transformer-based models have recently become wildly successful across a diverse set of domains. At the same time, recent work has shown empirically and theoretically that Transformers are inherently limited. Specifically, they argue that…

Machine Learning · Computer Science 2024-07-30 Gbètondji J-S Dovonon , Michael M. Bronstein , Matt J. Kusner

Graph neural networks (GNNs) have received tremendous attention due to their superiority in learning node representations. These models rely on message passing and feature transformation functions to encode the structural and feature…

Machine Learning · Computer Science 2021-12-02 Kai Guo , Kaixiong Zhou , Xia Hu , Yu Li , Yi Chang , Xin Wang

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…

Machine Learning · Computer Science 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…

Machine Learning · Computer Science 2026-05-04 Hugo Attali , Davide Buscaldi , Nathalie Pernelle , Fragkiskos D. Malliaros

In recent years, Graph Neural Networks (GNNs) have achieved remarkable success in many graph mining tasks. However, scaling them to large graphs is challenging due to the high computational and storage costs of repeated feature propagation…

Machine Learning · Computer Science 2025-04-11 Yuxuan Liang , Wentao Zhang , Zeang Sheng , Ling Yang , Quanqing Xu , Jiawei Jiang , Yunhai Tong , Bin Cui

Graph neural networks (GNNs) have achieved remarkable empirical success in processing and representing graph-structured data across various domains. However, a significant challenge known as "oversmoothing" persists, where vertex features…

Machine Learning · Computer Science 2025-01-07 Ziang Chen , Zhengjiang Lin , Shi Chen , Yury Polyanskiy , Philippe Rigollet

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…

Machine Learning · Computer Science 2022-02-28 Pantelis Elinas , Edwin V. Bonilla

Despite the wide application of Graph Convolutional Network (GCN), one major limitation is that it does not benefit from the increasing depth and suffers from the oversmoothing problem. In this work, we first characterize this phenomenon…

Graph Convolutional Networks (GCNs) suffer from severe performance degradation in deep architectures due to over-smoothing. While existing studies primarily attribute the over-smoothing to repeated applications of graph Laplacian operators,…

Machine Learning · Computer Science 2025-07-23 Furong Peng , Jinzhen Gao , Xuan Lu , Kang Liu , Yifan Huo , Sheng Wang

Linearized Graph Neural Networks (GNNs) have attracted great attention in recent years for graph representation learning. Compared with nonlinear Graph Neural Network (GNN) models, linearized GNNs are much more time-efficient and can…

Machine Learning · Computer Science 2023-02-02 Yulin Zhu , Xing Ai , Qimai Li , Xiao-Ming Wu , Kai Zhou

Graph convolution (GConv) is a widely used technique that has been demonstrated to be extremely effective for graph learning applications, most notably node categorization. On the other hand, many GConv-based models do not quantify the…

Machine Learning · Computer Science 2022-07-27 Zhiqian Chen , Zonghan Zhang

It is known that the current graph neural networks (GNNs) are difficult to make themselves deep due to the problem known as over-smoothing. Multi-scale GNNs are a promising approach for mitigating the over-smoothing problem. However, there…

Machine Learning · Computer Science 2021-01-07 Kenta Oono , Taiji Suzuki

Current Graph Neural Networks (GNNs) suffer from the over-smoothing problem, which results in indistinguishable node representations and low model performance with more GNN layers. Many methods have been put forward to tackle this problem…

Machine Learning · Computer Science 2022-10-25 Xinshun Feng , Herun Wan , Shangbin Feng , Hongrui Wang , Jun Zhou , Qinghua Zheng , Minnan Luo

Message Passing Neural Networks (MPNNs) hold a key position in machine learning on graphs, but they struggle with unintended behaviors, such as over-smoothing and over-squashing, due to irregular data structures. The observation and…

Machine Learning · Computer Science 2025-08-26 Junhyun Lee , Veronika Thost , Bumsoo Kim , Jaewoo Kang , Tengfei Ma

With the tremendous success of Graph Convolutional Networks (GCNs), they have been widely applied to recommender systems and have shown promising performance. However, most GCN-based methods rigorously stick to a common GCN learning…

Information Retrieval · Computer Science 2022-09-07 Shaowen Peng , Kazunari Sugiyama , Tsunenori Mine

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…

Machine Learning · Computer Science 2019-11-19 Deli Chen , Yankai Lin , Wei Li , Peng Li , Jie Zhou , Xu Sun

Oversmoothing is a fundamental limitation of deep graph convolutional networks (GCNs), causing node representations to collapse as depth increases. While many prior approaches mitigate this effect through architectural modifications or…

Machine Learning · Computer Science 2026-02-10 Sai Vamsi Alisetti

Graph Convolutional Network (GCN) has achieved great success and has been applied in various fields including recommender systems. However, GCN still suffers from many issues such as training difficulties, over-smoothing, vulnerable to…

Information Retrieval · Computer Science 2020-05-01 Shaowen Peng , Tsunenori Mine