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Residual connections and normalization layers have become standard design choices for graph neural networks (GNNs), and were proposed as solutions to the mitigate the oversmoothing problem in GNNs. However, how exactly these methods help…

Machine Learning · Computer Science 2026-01-21 Michael Scholkemper , Xinyi Wu , Ali Jadbabaie , Michael T. Schaub

Graph convolutional neural networks (GCNNs) have received much attention recently, owing to their capability in handling graph-structured data. Among the existing GCNNs, many methods can be viewed as instances of a neural message passing…

Machine Learning · Computer Science 2021-03-19 Tien Huu Do , Duc Minh Nguyen , Giannis Bekoulis , Adrian Munteanu , Nikos Deligiannis

Graph Convolutional Network (GCN) with the powerful capacity to explore graph-structural data has gained noticeable success in recent years. Nonetheless, most of the existing GCN-based models suffer from the notorious over-smoothing issue,…

Machine Learning · Computer Science 2023-04-17 Zhaoliang Chen , Zhihao Wu , Zhenghong Lin , Shiping Wang , Claudia Plant , Wenzhong Guo

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…

Machine Learning · Computer Science 2023-03-02 Xinyi Wu , Zhengdao Chen , William Wang , Ali Jadbabaie

Graph Neural Networks (GNNs) have shown great potential in graph data analysis due to their powerful representation capabilities. However, as the network depth increases, the issue of over-smoothing becomes more severe, causing node…

Machine Learning · Computer Science 2025-07-09 Kaichen Ouyang

In recent years, Graph Convolutional Networks (GCNs) have gained popularity for their exceptional ability to process graph-structured data. Existing GCN-based approaches typically employ a shallow model architecture due to the…

Machine Learning · Computer Science 2025-04-22 Jielong Lu , Zhihao Wu , Zhiling Cai , Yueyang Pi , Shiping Wang

Graph convolutional networks (GCNs) have achieved promising performance on various graph-based tasks. However they suffer from over-smoothing when stacking more layers. In this paper, we present a quantitative study on this observation and…

Machine Learning · Computer Science 2020-09-28 Hongwei Zhang , Tijin Yan , Zenjun Xie , Yuanqing Xia , Yuan Zhang

Graph convolutional networks (GCNs) have shown promising results in processing graph data by extracting structure-aware features. This gave rise to extensive work in geometric deep learning, focusing on designing network architectures that…

Machine Learning · Computer Science 2022-01-20 Yimeng Min , Frederik Wenkel , Guy Wolf

Graph convolutional networks (GCNs) have been proved to be very practical to handle various graph-related tasks. It has attracted considerable research interest to study deep GCNs, due to their potential superior performance compared with…

Machine Learning · Computer Science 2023-02-13 Lei Zhang , Xiaodong Yan , Jianshan He , Ruopeng Li , Wei Chu

Despite Graph neural networks' significant performance gain over many classic techniques in various graph-related downstream tasks, their successes are restricted in shallow models due to over-smoothness and the difficulties of…

Machine Learning · Computer Science 2023-12-15 Jin Li , Qirong Zhang , Shuling Xu , Xinlong Chen , Longkun Guo , Yang-Geng Fu

It has been discovered that Graph Convolutional Networks (GCNs) encounter a remarkable drop in performance when multiple layers are piled up. The main factor that accounts for why deep GCNs fail lies in over-smoothing, which isolates the…

Machine Learning · Computer Science 2023-06-22 Jiaqi Han , Wenbing Huang , Yu Rong , Tingyang Xu , Fuchun Sun , Junzhou Huang

Graph Neural Networks (GNNs) have emerged as a cornerstone of deep learning, with most existing methods rooted in graph signal processing and diffusion equations to model message passing. However, these approaches inherently suffer from the…

Machine Learning · Computer Science 2026-05-26 Zexing Zhao , Guangsi Shi , Yu Gong , Tianyu Wang , Shirui Pan , Hongye Cheng , Yuxiao Li

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 Convolutional Networks (GCNs) have become pivotal in recommendation systems for learning user and item embeddings by leveraging the user-item interaction graph's node information and topology. However, these models often face the…

Information Retrieval · Computer Science 2024-04-23 Leilei Ding , Dazhong Shen , Chao Wang , Tianfu Wang , Le Zhang , Yanyong Zhang

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…

Machine Learning · Computer Science 2025-10-08 Dimitrios Kelesis , Dimitris Fotakis , Georgios Paliouras

Graph Neural Network (GNN) achieves great success for node-level and graph-level tasks via encoding meaningful topological structures of networks in various domains, ranging from social to biological networks. However, repeated aggregation…

Machine Learning · Computer Science 2025-08-26 Tanvir Hossain , Khaled Mohammed Saifuddin , Muhammad Ifte Khairul Islam , Farhan Tanvir , Esra Akbas

Despite the recent success of graph neural networks (GNN), common architectures often exhibit significant limitations, including sensitivity to oversmoothing, long-range dependencies, and spurious edges, e.g., as can occur as a result of…

Machine Learning · Computer Science 2021-12-06 Yongyi Yang , Tang Liu , Yangkun Wang , Jinjing Zhou , Quan Gan , Zhewei Wei , Zheng Zhang , Zengfeng Huang , David Wipf

Graph neural networks (GNNs) are one of the most popular research topics for deep learning. GNN methods typically have been designed on top of the graph signal processing theory. In particular, diffusion equations have been widely used for…

Machine Learning · Computer Science 2023-06-16 Jeongwhan Choi , Seoyoung Hong , Noseong Park , Sung-Bae Cho

Graph Neural Network (GNN) resembles the diffusion process, leading to the over-smoothing of learned representations when stacking many layers. Hence, the reverse process of message passing can produce the distinguishable node…

Social and Information Networks · Computer Science 2024-06-12 MoonJeong Park , Jaeseung Heo , Dongwoo Kim

Graph Nerual Networks (GNNs) are effective models in graph embedding. It extracts shallow features and neighborhood information by aggregating neighbor information to learn the embedding representation of different nodes. However, the local…

Social and Information Networks · Computer Science 2023-12-14 Kejia Zhang