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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…

Machine Learning · Computer Science 2024-10-22 Jun Kato , Airi Mita , Keita Gobara , Akihiro Inokuchi

Graph convolutional networks (GCNs) are a powerful deep learning approach for graph-structured data. Recently, GCNs and subsequent variants have shown superior performance in various application areas on real-world datasets. Despite their…

Machine Learning · Computer Science 2020-07-07 Ming Chen , Zhewei Wei , Zengfeng Huang , Bolin Ding , Yaliang Li

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

Hypergraphs are a generalized data structure of graphs to model higher-order correlations among entities, which have been successfully adopted into various research domains. Meanwhile, HyperGraph Neural Network (HGNN) is currently the…

Computer Vision and Pattern Recognition · Computer Science 2021-05-04 Jing Huang , Xiaolin Huang , Jie Yang

Geometric deep learning has made great strides towards generalizing the design of structure-aware neural networks from traditional domains to non-Euclidean ones, giving rise to graph neural networks (GNN) that can be applied to…

Machine Learning · Statistics 2024-10-28 Frederik Wenkel , Yimeng Min , Matthew Hirn , Michael Perlmutter , Guy Wolf

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…

Machine Learning · Computer Science 2020-07-21 Meng Liu , Hongyang Gao , Shuiwang Ji

The performance of graph neural nets (GNNs) is known to gradually decrease with increasing number of layers. This decay is partly attributed to oversmoothing, where repeated graph convolutions eventually make node embeddings…

Machine Learning · Computer Science 2020-02-14 Lingxiao Zhao , Leman Akoglu

Graph Convolution Networks (GCNs) manifest great potential in recommendation. This is attributed to their capability on learning good user and item embeddings by exploiting the collaborative signals from the high-order neighbors. Like other…

Information Retrieval · Computer Science 2021-03-30 Fan Liu , Zhiyong Cheng , Lei Zhu , Zan Gao , Liqiang Nie

Higher-order graph neural networks (HOGNNs) and the related architectures from Topological Deep Learning are an important class of GNN models that harness polyadic relations between vertices beyond plain edges. They have been used to…

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…

Machine Learning · Computer Science 2026-01-07 Subhankar Mishra

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…

Machine Learning · Computer Science 2025-03-06 Tuğrul Hasan Karabulut , İnci M. Baytaş

Numerous recent research on graph neural networks (GNNs) has focused on formulating GNN architectures as an optimization problem with the smoothness assumption. However, in node classification tasks, the smoothing effect induced by GNNs…

Machine Learning · Computer Science 2023-09-14 Jiayu Zhai , Lequan Lin , Dai Shi , Junbin Gao

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…

Machine Learning · Computer Science 2023-02-06 Yunchong Song , Chenghu Zhou , Xinbing Wang , Zhouhan Lin

While Graph Neural Networks (GNNs) are powerful models for learning representations on graphs, most state-of-the-art models do not have significant accuracy gain beyond two to three layers. Deep GNNs fundamentally need to address: 1).…

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

Oversmoothing in Graph Neural Networks (GNNs) refers to the phenomenon where increasing network depth leads to homogeneous node representations. While previous work has established that Graph Convolutional Networks (GCNs) exponentially lose…

Machine Learning · Computer Science 2024-06-05 Xinyi Wu , Amir Ajorlou , Zihui Wu , Ali Jadbabaie

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

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…

Machine Learning · Computer Science 2022-02-02 Fang Sun

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

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