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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

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

It is known that the kinematics of the human body skeleton reveals valuable information in action recognition. Recently, modeling skeletons as spatio-temporal graphs with Graph Convolutional Networks (GCNs) has been reported to solidly…

Computer Vision and Pattern Recognition · Computer Science 2021-05-17 Bruno Degardin , Vasco Lopes , Hugo Proença

The understanding of geographical reality is a process of data representation and pattern discovery. Former studies mainly adopted continuous-field models to represent spatial variables and to investigate the underlying spatial…

Machine Learning · Statistics 2018-08-30 Di Zhu , Yu Liu

Graph convolutional networks (GCNs) have recently become one of the most powerful tools for graph analytics tasks in numerous applications, ranging from social networks and natural language processing to bioinformatics and chemoinformatics,…

Machine Learning · Computer Science 2019-04-05 Fengwen Chen , Shirui Pan , Jing Jiang , Huan Huo , Guodong Long

Graph Convolutional Networks (GCNs) have emerged as powerful tools for learning on network structured data. Although empirically successful, GCNs exhibit certain behaviour that has no rigorous explanation -- for instance, the performance of…

Machine Learning · Computer Science 2023-11-07 Mahalakshmi Sabanayagam , Pascal Esser , Debarghya Ghoshdastidar

Graph convolution networks (GCN) have been widely used in skeleton-based action recognition. We note that existing GCN-based approaches primarily rely on prescribed graphical structures (ie., a manually defined topology of skeleton joints),…

Computer Vision and Pattern Recognition · Computer Science 2022-10-13 Haodong Duan , Jiaqi Wang , Kai Chen , Dahua Lin

Spectral graph convolutional network (SGCN) is a kind of graph neural networks (GNN) based on graph signal filters, and has shown compelling expressivity for modeling graph-structured data. Most SGCNs adopt polynomial filters and learn the…

Machine Learning · Computer Science 2024-05-07 Feng Huang , Wen Zhang

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

We focus on graph-to-sequence learning, which can be framed as transducing graph structures to sequences for text generation. To capture structural information associated with graphs, we investigate the problem of encoding graphs using…

Computation and Language · Computer Science 2019-09-10 Zhijiang Guo , Yan Zhang , Zhiyang Teng , Wei Lu

Steerable properties dominate the design of traditional filters, e.g., Gabor filters, and endow features the capability of dealing with spatial transformations. However, such excellent properties have not been well explored in the popular…

Computer Vision and Pattern Recognition · Computer Science 2023-03-30 Shangzhen Luan , Baochang Zhang , Chen Chen , Xianbin Cao , Jungong Han , Jianzhuang Liu

This paper aims at revisiting Graph Convolutional Neural Networks by bridging the gap between spectral and spatial design of graph convolutions. We theoretically demonstrate some equivalence of the graph convolution process regardless it is…

Machine Learning · Computer Science 2020-03-27 Muhammet Balcilar , Guillaume Renton , Pierre Heroux , Benoit Gauzere , Sebastien Adam , Paul Honeine

Graph Convolutional Networks (GCNs) are powerful models for node representation learning tasks. However, the node representation in existing GCN models is usually generated by performing recursive neighborhood aggregation across multiple…

Machine Learning · Computer Science 2021-05-11 Hao Chen , Zengde Deng , Yue Xu , Zhoujun Li

In the field of skeleton-based action recognition, current top-performing graph convolutional networks (GCNs) exploit intra-sequence context to construct adaptive graphs for feature aggregation. However, we argue that such context is still…

Computer Vision and Pattern Recognition · Computer Science 2023-06-13 Xiaohu Huang , Hao Zhou , Jian Wang , Haocheng Feng , Junyu Han , Errui Ding , Jingdong Wang , Xinggang Wang , Wenyu Liu , Bin Feng

Graph convolutional networks (GCNs) have been widely used for representation learning on graph data, which can capture structural patterns on a graph via specifically designed convolution and readout operations. In many graph classification…

Machine Learning · Computer Science 2020-10-13 Wenfeng Liu , Maoguo Gong , Zedong Tang , A. K. Qin

Graph Convolutional Networks (GCNs) have been widely applied in various fields due to their significant power on processing graph-structured data. Typical GCN and its variants work under a homophily assumption (i.e., nodes with same class…

Machine Learning · Computer Science 2021-12-28 Tao Wang , Rui Wang , Di Jin , Dongxiao He , Yuxiao Huang

Spectral Graph Convolutional Networks (GCNs) have gained popularity in graph machine learning applications due, in part, to their flexibility in specification of network propagation rules. These propagation rules are often constructed as…

Machine Learning · Computer Science 2024-10-02 Mustafa Coşkun , Ananth Grama , Mehmet Koyutürk

With the development of graph convolutional networks (GCN), deep learning methods have started to be used on graph data. In additional to convolutional layers, pooling layers are another important components of deep learning. However, no…

Artificial Intelligence · Computer Science 2019-03-12 Hongyang Gao , Yongjun Chen , Shuiwang Ji

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 (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
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