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Graph convolutional networks (GCNs) are powerful deep neural networks for graph-structured data. However, GCN computes the representation of a node recursively from its neighbors, making the receptive field size grow exponentially with the…

Machine Learning · Statistics 2018-03-02 Jianfei Chen , Jun Zhu , Le Song

Graph Convolutional Networks (GCNs) have shown significant improvements in semi-supervised learning on graph-structured data. Concurrently, unsupervised learning of graph embeddings has benefited from the information contained in random…

Machine Learning · Computer Science 2018-02-27 Sami Abu-El-Haija , Amol Kapoor , Bryan Perozzi , Joonseok Lee

Graph Convolutional Networks (GCNs) have been drawing significant attention with the power of representation learning on graphs. Unlike Convolutional Neural Networks (CNNs), which are able to take advantage of stacking very deep layers,…

Machine Learning · Computer Science 2020-06-16 Guohao Li , Chenxin Xiong , Ali Thabet , Bernard Ghanem

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 convolution networks have recently garnered a lot of attention for representation learning on non-Euclidean feature spaces. Recent research has focused on stacking multiple layers like in convolutional neural networks for the…

Machine Learning · Computer Science 2021-05-05 Rangan Das , Bikram Boote , Saumik Bhattacharya , Ujjwal Maulik

Graph neural networks (GNNs) have achieved significant success in various applications. Most GNNs learn the node features with information aggregation of its neighbors and feature transformation in each layer. However, the node features…

Machine Learning · Computer Science 2024-07-30 Dongzhuoran Zhou , Hui Yang , Bo Xiong , Yue Ma , Evgeny Kharlamov

Graph Convolutional Networks (GCNs) have emerged as the state-of-the-art method for graph-based learning tasks. However, training GCNs at scale is still challenging, hindering both the exploration of more sophisticated GCN architectures and…

Machine Learning · Computer Science 2022-03-29 Cheng Wan , Youjie Li , Ang Li , Nam Sung Kim , Yingyan Lin

Graph convolutional network (GCN) is now an effective tool to deal with non-Euclidean data, such as social networks in social behavior analysis, molecular structure analysis in the field of chemistry, and skeleton-based action recognition.…

Computer Vision and Pattern Recognition · Computer Science 2020-02-26 Ziqing Yang , Shoudong Han , Jun Zhao

Graph Convolutional Networks (GCNs) have achieved impressive empirical advancement across a wide variety of semi-supervised node classification tasks. Despite their great success, training GCNs on large graphs suffers from computational and…

Machine Learning · Computer Science 2021-11-02 Weilin Cong , Morteza Ramezani , Mehrdad Mahdavi

Despite much research, Graph Neural Networks (GNNs) still do not display the favorable scaling properties of other deep neural networks such as Convolutional Neural Networks and Transformers. Previous work has identified issues such as…

Machine Learning · Computer Science 2023-12-19 Ameen Ali , Hakan Cevikalp , Lior Wolf

Graph Convolutional Networks (GCNs) have shown very powerful for graph data representation and learning tasks. Existing GCNs usually conduct feature aggregation on a fixed neighborhood graph in which each node computes its representation by…

Computer Vision and Pattern Recognition · Computer Science 2019-11-21 Bo Jiang , Beibei Wang , Jin Tang , Bin Luo

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…

Machine Learning · Computer Science 2025-01-07 Ziang Chen , Zhengjiang Lin , Shi Chen , Yury Polyanskiy , Philippe Rigollet

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

In recent years, graph neural networks (GNNs) have achieved state-of-the-art performance for node classification. However, most existing GNNs would suffer from the graph imbalance problem. In many real-world scenarios, node classes are…

Machine Learning · Computer Science 2022-06-14 Tianxiang Zhao , Xiang Zhang , Suhang Wang

Over-squashing and over-smoothing are two critical issues, that limit the capabilities of graph neural networks (GNNs). While over-smoothing eliminates the differences between nodes making them indistinguishable, over-squashing refers to…

Machine Learning · Computer Science 2023-09-01 Cedric Sanders , Andreas Roth , Thomas Liebig

In this work, we propose to train a graph neural network via resampling from a graphon estimate obtained from the underlying network data. More specifically, the graphon or the link probability matrix of the underlying network is first…

Machine Learning · Computer Science 2021-09-07 Ziqing Hu , Yihao Fang , Lizhen Lin

Graph Convolutional Network (GCN) has experienced great success in graph analysis tasks. It works by smoothing the node features across the graph. The current GCN models overwhelmingly assume that the node feature information is complete.…

Machine Learning · Computer Science 2020-12-08 Hibiki Taguchi , Xin Liu , Tsuyoshi Murata

Graph Convolutional Networks (GCNs) are state-of-the-art graph based representation learning models by iteratively stacking multiple layers of convolution aggregation operations and non-linear activation operations. Recently, in…

Information Retrieval · Computer Science 2020-01-29 Lei Chen , Le Wu , Richang Hong , Kun Zhang , Meng Wang

In this paper, we aim at improving the computational efficiency of graph convolutional networks (GCNs) for learning on point clouds. The basic graph convolution that is typically composed of a $K$-nearest neighbor (KNN) search and a…

Computer Vision and Pattern Recognition · Computer Science 2021-04-13 Yawei Li , He Chen , Zhaopeng Cui , Radu Timofte , Marc Pollefeys , Gregory Chirikjian , Luc Van Gool

The decoupled Graph Convolutional Network (GCN), a recent development of GCN that decouples the neighborhood aggregation and feature transformation in each convolutional layer, has shown promising performance for graph representation…

Machine Learning · Computer Science 2022-11-16 Jinsong Chen , Boyu Li , Kun He
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