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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

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 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 have achieved great success in learning node representations for graph tasks such as node classification and link prediction. Graph representation learning requires graph pooling to obtain graph representations from…

Machine Learning · Computer Science 2020-07-22 Zhengyang Wang , Shuiwang Ji

Recently, graph neural networks (GNNs) have revolutionized the field of graph representation learning through effectively learned node embeddings, and achieved state-of-the-art results in tasks such as node classification and link…

Machine Learning · Computer Science 2019-02-21 Rex Ying , Jiaxuan You , Christopher Morris , Xiang Ren , William L. Hamilton , Jure Leskovec

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

Graph neural networks have emerged as a powerful model for graph representation learning to undertake graph-level prediction tasks. Various graph pooling methods have been developed to coarsen an input graph into a succinct graph-level…

Machine Learning · Computer Science 2021-09-27 Xiaowei Zhou , Jie Yin , Ivor W. Tsang

Graph neural networks (GNNs) have demonstrated a significant success in various graph learning tasks, from graph classification to anomaly detection. There recently has emerged a number of approaches adopting a graph pooling operation…

Machine Learning · Computer Science 2023-03-28 Yuzhou Chen , Yulia R. Gel

Graph Neural Networks (GNNs) leverage the graph structure to transmit information between nodes, typically through the message-passing mechanism. While these models have found a wide variety of applications, they are known to suffer from…

Machine Learning · Computer Science 2025-10-23 Hugh Blayney , Álvaro Arroyo , Xiaowen Dong , Michael M. Bronstein

The spatial convolution layer which is widely used in the Graph Neural Networks (GNNs) aggregates the feature vector of each node with the feature vectors of its neighboring nodes. The GNN is not aware of the locations of the nodes in the…

Machine Learning · Computer Science 2019-10-04 Mostafa Rahmani , Ping Li

Curvature notions on graphs provide a theoretical description of graph topology, highlighting bottlenecks and denser connected regions. Artifacts of the message passing paradigm in Graph Neural Networks, such as oversmoothing and…

Machine Learning · Computer Science 2026-02-25 Floriano Tori , Lorenzo Bini , Marco Sorbi , Stéphane Marchand-Maillet , Vincent Ginis

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

This paper introduces SpaPool, a novel pooling method that combines the strengths of both dense and sparse techniques for a graph neural network. SpaPool groups vertices into an adaptive number of clusters, leveraging the benefits of both…

Machine Learning · Statistics 2025-10-15 Rodrigue Govan , Romane Scherrer , Philippe Fournier-Viger , Nazha Selmaoui-Folcher

Graph pooling is a family of operations which take graphs as input and produce shrinked graphs as output. Modern graph pooling methods are trainable and, in general inserted in Graph Neural Networks (GNNs) architectures as graph shrinking…

Machine Learning · Computer Science 2024-12-05 Yizhu Chen

Graph pooling is a central component of a myriad of graph neural network (GNN) architectures. As an inheritance from traditional CNNs, most approaches formulate graph pooling as a cluster assignment problem, extending the idea of local…

Machine Learning · Computer Science 2020-10-23 Diego Mesquita , Amauri H. Souza , Samuel Kaski

Graph-structured data naturally occurs in many research fields, such as chemistry and sociology. The relational information contained therein can be leveraged to statistically model graph properties through geometrical deep learning. Graph…

Machine Learning · Computer Science 2024-09-19 T. Snelleman , B. M. Renting , H. H. Hoos , J. N. van Rijn

Deep Graph Neural Networks (GNNs) are useful models for graph classification and graph-based regression tasks. In these tasks, graph pooling is a critical ingredient by which GNNs adapt to input graphs of varying size and structure. We…

Machine Learning · Computer Science 2020-06-25 Yu Guang Wang , Ming Li , Zheng Ma , Guido Montufar , Xiaosheng Zhuang , Yanan Fan

Oversmoothing has been recognized as a main obstacle to building deep Graph Neural Networks (GNNs), limiting the performance. This position paper argues that the influence of oversmoothing has been overstated and advocates for a further…

Machine Learning · Computer Science 2025-06-06 MoonJeong Park , Sunghyun Choi , Jaeseung Heo , Eunhyeok Park , Dongwoo Kim

Message Passing Neural Networks (MPNNs) are instances of Graph Neural Networks that leverage the graph to send messages over the edges. This inductive bias leads to a phenomenon known as over-squashing, where a node feature is insensitive…

Machine Learning · Computer Science 2023-05-25 Francesco Di Giovanni , Lorenzo Giusti , Federico Barbero , Giulia Luise , Pietro Lio' , Michael Bronstein

Graph Convolutional Neural Network (GCN), a widely adopted method for analyzing relational data, enhances node discriminability through the aggregation of neighboring information. Usually, stacking multiple layers can improve the…

Machine Learning · Computer Science 2024-08-07 Furong Peng , Kang Liu , Xuan Lu , Yuhua Qian , Hongren Yan , Chao Ma