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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…

Machine Learning · Computer Science 2021-10-29 Weilin Cong , Morteza Ramezani , Mehrdad Mahdavi

Traditional initialisation methods, e.g. He and Xavier, have been effective in avoiding the problem of vanishing or exploding gradients in neural networks. However, they only use simple pointwise distributions, which model one-dimensional…

Computer Vision and Pattern Recognition · Computer Science 2023-10-26 Christian Harder , Moritz Fuchs , Yuri Tolkach , Anirban Mukhopadhyay

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 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

Graph Neural Networks (GNNs) have been extensively used for mining graph-structured data with impressive performance. However, because these traditional GNNs do not distinguish among various downstream tasks, embeddings embedded by them are…

Machine Learning · Computer Science 2024-09-20 Jianpeng Chen , Yujing Wang , Ming Zeng , Zongyi Xiang , Bitan Hou , Yunhai Tong , Ole J. Mengshoel , Yazhou Ren

Recent years have witnessed remarkable success achieved by graph neural networks (GNNs) in many real-world applications such as recommendation and drug discovery. Despite the success, oversmoothing has been identified as one of the key…

Machine Learning · Computer Science 2022-06-17 Wei Jin , Xiaorui Liu , Yao Ma , Charu Aggarwal , Jiliang Tang

Graph Neural Networks (GNNs) are limited in their propagation operators. In many cases, these operators often contain non-negative elements only and are shared across channels, limiting the expressiveness of GNNs. Moreover, some GNNs suffer…

Machine Learning · Computer Science 2023-05-08 Moshe Eliasof , Lars Ruthotto , Eran Treister

Oversmoothing is a fundamental challenge in graph neural networks (GNNs): as the number of layers increases, node embeddings become increasingly similar, and model performance drops sharply. Traditionally, oversmoothing has been quantified…

Machine Learning · Computer Science 2026-02-24 Kaicheng Zhang , Piero Deidda , Desmond Higham , Francesco Tudisco

In this work we investigate an observation made by Kipf \& Welling, who suggested that untrained GCNs can generate meaningful node embeddings. In particular, we investigate the effect of training only a single layer of a GCN, while keeping…

Machine Learning · Computer Science 2024-10-18 Dimitrios Kelesis , Dimitris Fotakis , Georgios Paliouras

Graph Neural Networks (GNNs) have demonstrated remarkable performance across a spectrum of graph-related tasks, however concerns persist regarding their vulnerability to adversarial perturbations. While prevailing defense strategies focus…

Machine Learning · Computer Science 2025-10-28 Sofiane Ennadir , Johannes F. Lutzeyer , Michalis Vazirgiannis , El Houcine Bergou

The Graph Neural Network (GNN) has been widely used for graph data representation. However, the existing researches only consider the ideal balanced dataset, and the imbalanced dataset is rarely considered. Traditional methods such as…

Machine Learning · Computer Science 2022-05-10 S. Shi , Kai Qiao , Shuai Yang , L. Wang , J. Chen , Bin Yan

There has been tremendous success in the field of graph neural networks (GNNs) as a result of the development of the message-passing (MP) layer, which updates the representation of a node by combining it with its neighbors to address…

Machine Learning · Computer Science 2022-02-11 Hyeokjin Kwon , Jong-Min Lee

Graph Neural Networks (GNNs) learn node representations through iterative network-based message-passing. While powerful, deep GNNs suffer from oversmoothing, where node features converge to a homogeneous, non-informative state. We re-frame…

Machine Learning · Computer Science 2026-02-18 Erkan Turan , Gaspard Abel , Maysam Behmanesh , Emery Pierson , Maks Ovsjanikov

Physics-informed Graph Neural Networks have achieved remarkable performance in learning through graph-structured data by mitigating common GNN challenges such as over-smoothing, over-squashing, and heterophily adaption. Despite these…

Machine Learning · Computer Science 2024-06-13 Dai Shi , Andi Han , Lequan Lin , Yi Guo , Zhiyong Wang , Junbin Gao

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 neural networks (GNNs) are able to leverage the structure of graph data by passing messages along the edges of the graph. While this allows GNNs to learn features depending on the graph structure, for certain graph topologies it leads…

Machine Learning · Computer Science 2023-02-17 Kedar Karhadkar , Pradeep Kr. Banerjee , Guido Montúfar

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

Cold-start problem is a fundamental challenge for recommendation tasks. Despite the recent advances on Graph Neural Networks (GNNs) incorporate the high-order collaborative signal to alleviate the problem, the embeddings of the cold-start…

Information Retrieval · Computer Science 2020-12-15 Bowen Hao , Jing Zhang , Hongzhi Yin , Cuiping Li , Hong Chen

Graph Neural Networks (GNNs) have led to state-of-the-art performance on a variety of machine learning tasks such as recommendation, node classification and link prediction. Graph neural network models generate node embeddings by merging…

Machine Learning · Computer Science 2020-11-04 Yunpeng Weng , Xu Chen , Liang Chen , Wei Liu

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