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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

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

Message-passing neural networks (MPNNs) have been successfully applied to representation learning on graphs in a variety of real-world applications. However, two fundamental weaknesses of MPNNs' aggregators limit their ability to represent…

Machine Learning · Computer Science 2020-02-17 Hongbin Pei , Bingzhe Wei , Kevin Chen-Chuan Chang , Yu Lei , Bo Yang

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

Convolutional neural networks (CNNs) have achieved great success on grid-like data such as images, but face tremendous challenges in learning from more generic data such as graphs. In CNNs, the trainable local filters enable the automatic…

Machine Learning · Computer Science 2018-09-05 Hongyang Gao , Zhengyang Wang , Shuiwang Ji

To deepen our understanding of graph neural networks, we investigate the representation power of Graph Convolutional Networks (GCN) through the looking glass of graph moments, a key property of graph topology encoding path of various…

Machine Learning · Computer Science 2019-11-04 Nima Dehmamy , Albert-László Barabási , Rose Yu

Graph Convolutional Networks (GCNs) have received increasing attention in the machine learning community for effectively leveraging both the content features of nodes and the linkage patterns across graphs in various applications. As…

Machine Learning · Computer Science 2021-01-01 Donghan Yu , Ruohong Zhang , Zhengbao Jiang , Yuexin Wu , Yiming Yang

Short-term passenger flow forecasting is a crucial task for urban rail transit operations. Emerging deep-learning technologies have become effective methods used to overcome this problem. In this study, the authors propose a deep-learning…

Physics and Society · Physics 2020-08-12 Jinlei Zhang , Feng Chen , Yinan Guo , Xiaohong Li

Graph convolutional networks (GCNs) are a widely used method for graph representation learning. To elucidate the capabilities and limitations of GCNs, we investigate their power, as a function of their number of layers, to distinguish…

Machine Learning · Statistics 2020-05-14 Abram Magner , Mayank Baranwal , Alfred O. Hero

Graph neural networks (GNNs) are designed to process data associated with graphs. They are finding an increasing range of applications; however, as with other modern machine learning techniques, their theoretical understanding is limited.…

Disordered Systems and Neural Networks · Physics 2026-02-23 O. Duranthon , L. Zdeborová

This paper proposes a new Quantum Spatial Graph Convolutional Neural Network (QSGCNN) model that can directly learn a classification function for graphs of arbitrary sizes. Unlike state-of-the-art Graph Convolutional Neural Network (GCNN)…

Machine Learning · Computer Science 2023-04-04 Lu Bai , Yuhang Jiao , Luca Rossi , Lixin Cui , Jian Cheng , Edwin R. Hancock

Graph neural networks (GNN) has been demonstrated to be effective in classifying graph structures. To further improve the graph representation learning ability, hierarchical GNN has been explored. It leverages the differentiable pooling to…

Social and Information Networks · Computer Science 2019-12-19 Kaixiong Zhou , Qingquan Song , Xiao Huang , Daochen Zha , Na Zou , Xia Hu

Network representation learning and node classification in graphs got significant attention due to the invent of different types graph neural networks. Graph convolution network (GCN) is a popular semi-supervised technique which aggregates…

Social and Information Networks · Computer Science 2020-02-11 Sambaran Bandyopadhyay , Kishalay Das , M. Narasimha Murty

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

Graph convolutional networks (GCNs) are a family of neural network models that perform inference on graph data by interleaving vertex-wise operations and message-passing exchanges across nodes. Concerning the latter, two key questions…

Machine Learning · Computer Science 2020-09-29 Indro Spinelli , Simone Scardapane , Aurelio Uncini

Convolutional neural networks (CNNs) leverage the great power in representation learning on regular grid data such as image and video. Recently, increasing attention has been paid on generalizing CNNs to graph or network data which is…

Social and Information Networks · Computer Science 2018-08-21 Yao Ma , Suhang Wang , Charu C. Aggarwal , Dawei Yin , Jiliang Tang

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) 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

To read the final version please go to IEEE TGRS on IEEE Xplore. Convolutional neural networks (CNNs) have been attracting increasing attention in hyperspectral (HS) image classification, owing to their ability to capture spatial-spectral…

Computer Vision and Pattern Recognition · Computer Science 2021-07-07 Danfeng Hong , Lianru Gao , Jing Yao , Bing Zhang , Antonio Plaza , Jocelyn Chanussot

Graph neural networks (GNNs) have been widely used in representation learning on graphs and achieved state-of-the-art performance in tasks such as node classification and link prediction. However, most existing GNNs are designed to learn…

Machine Learning · Computer Science 2020-02-06 Seongjun Yun , Minbyul Jeong , Raehyun Kim , Jaewoo Kang , Hyunwoo J. Kim