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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

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…

机器学习 · 计算机科学 2025-01-07 Ziang Chen , Zhengjiang Lin , Shi Chen , Yury Polyanskiy , Philippe Rigollet

In node classification tasks, graph convolutional neural networks (GCNs) have demonstrated competitive performance over traditional methods on diverse graph data. However, it is known that the performance of GCNs degrades with increasing…

机器学习 · 计算机科学 2022-11-29 Yujun Yan , Milad Hashemi , Kevin Swersky , Yaoqing Yang , Danai Koutra

Graph neural networks have shown significant success in the field of graph representation learning. Graph convolutions perform neighborhood aggregation and represent one of the most important graph operations. Nevertheless, one layer of…

机器学习 · 计算机科学 2020-07-21 Meng Liu , Hongyang Gao , Shuiwang Ji

We study the problem of semi-supervised learning on graphs, for which graph neural networks (GNNs) have been extensively explored. However, most existing GNNs inherently suffer from the limitations of over-smoothing, non-robustness, and…

机器学习 · 计算机科学 2021-09-22 Wenzheng Feng , Jie Zhang , Yuxiao Dong , Yu Han , Huanbo Luan , Qian Xu , Qiang Yang , Evgeny Kharlamov , Jie Tang

Graph neural networks (GNNs) are designed to process data associated with graphs. They are finding an increasing range of applications; however, as with other modern machine learning techniques, their theoretical understanding is limited.…

无序系统与神经网络 · 物理学 2026-02-23 O. Duranthon , L. Zdeborová

In the graph domain, deep graph networks based on Message Passing Neural Networks (MPNNs) or Graph Transformers often cause over-smoothing of node features, limiting their expressive capacity. Many upsampling techniques involving node and…

机器学习 · 计算机科学 2026-02-03 Xiaotang Wang , Yun Zhu , Haizhou Shi , Yongchao Liu , Yongqi Zhang

Graph Neural Networks (GNNs) have demonstrated impressive performance across diverse graph-based tasks by leveraging message passing to capture complex node relationships. However, on large-scale real-world graphs, GNNs face two major…

机器学习 · 计算机科学 2026-03-10 Xiang Li , Jianpeng Qi , Haobing Liu , Yuan Cao , Guoqing Chao , Zhongying Zhao , Junyu Dong , Xinwang Liu , Yanwei Yu

Graph neural networks (GNNs) hold the promise of learning efficient representations of graph-structured data, and one of its most important applications is semi-supervised node classification. However, in this application, GNN frameworks…

机器学习 · 计算机科学 2023-05-04 Jiaqi Sun , Lin Zhang , Shenglin Zhao , Yujiu Yang

Graph Neural Networks (GNNs) suffer from over-smoothing in deep architectures and expressiveness bounded by the 1-Weisfeiler-Leman (1-WL) test. We adapt Manifold-Constrained Hyper-Connections (\mhc)~\citep{xie2025mhc}, recently proposed for…

机器学习 · 计算机科学 2026-01-07 Subhankar Mishra

In this paper, we study the factors that contribute to the effect of oversmoothing in deep Graph Neural Networks (GNNs). Specifically, our analysis is based on a new metric (Mean Average Squared Distance - $MASED$) to quantify the extent of…

机器学习 · 计算机科学 2025-10-08 Dimitrios Kelesis , Dimitris Fotakis , Georgios Paliouras

Graph Convolutional Networks (GCNs) are known to suffer from performance degradation as the number of layers increases, which is usually attributed to over-smoothing. Despite the apparent consensus, we observe that there exists a…

机器学习 · 计算机科学 2021-10-29 Weilin Cong , Morteza Ramezani , Mehrdad Mahdavi

Deep Graph Neural Networks struggle with oversmoothing. This paper introduces a novel, physics-inspired GNN model designed to mitigate this issue. Our approach integrates with existing GNN architectures, introducing an entropy-aware message…

机器学习 · 计算机科学 2024-03-08 Philipp Nazari , Oliver Lemke , Davide Guidobene , Artiom Gesp

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,…

机器学习 · 计算机科学 2025-07-23 Furong Peng , Jinzhen Gao , Xuan Lu , Kang Liu , Yifan Huo , Sheng Wang

Graph Neural Networks (GNNs) have made significant advances on several fundamental inference tasks. As a result, there is a surge of interest in using these models for making potentially important decisions in high-regret applications.…

机器学习 · 计算机科学 2020-02-26 Kaidi Xu , Sijia Liu , Pin-Yu Chen , Mengshu Sun , Caiwen Ding , Bhavya Kailkhura , Xue Lin

Graph Neural Networks (GNNs) have emerged as the most powerful weapon for various graph tasks due to the message-passing mechanism's great local information aggregation ability. However, over-smoothing has always hindered GNNs from going…

机器学习 · 计算机科学 2024-03-26 Yundong Sun , Dongjie Zhu , Yansong Wang , Zhaoshuo Tian

The smoothing issue in graph learning leads to indistinguishable node representations, posing significant challenges for graph-related tasks. However, our experiments reveal that this problem can uncover underlying properties of node…

机器学习 · 计算机科学 2024-10-18 Xiangyu Dong , Xingyi Zhang , Yanni Sun , Lei Chen , Mingxuan Yuan , Sibo Wang

Graph Neural Networks (GNNs) are powerful tools for learning from graph-structured data, but their scalability is increasingly strained by the size of real-world graphs in domains like recommender systems, fraud detection, and molecular…

机器学习 · 计算机科学 2026-05-22 Mridul Gupta , Samyak Jain , Vansh Ramani , Hariprasad Kodamana , Sayan Ranu

Graph convolutional network (GCN) is a powerful model studied broadly in various graph structural data learning tasks. However, to mitigate the over-smoothing phenomenon, and deal with heterogeneous graph structural data, the design of GCN…

机器学习 · 统计学 2024-12-12 Jia Cai , Zhilong Xiong , Shaogao Lv

Graph Neural Networks (GNNs) have emerged as a notorious alternative to address learning problems dealing with non-Euclidean datasets. However, although most works assume that the graph is perfectly known, the observed topology is prone to…

机器学习 · 计算机科学 2023-12-12 Victor M. Tenorio , Samuel Rey , Antonio G. Marques