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Convolutional Neural Networks are extremely efficient architectures in image and audio recognition tasks, thanks to their ability to exploit the local translational invariance of signal classes over their domain. In this paper we consider…

Machine Learning · Computer Science 2014-05-22 Joan Bruna , Wojciech Zaremba , Arthur Szlam , Yann LeCun

Due to high utility in many applications, from social networks to blockchain to power grids, deep learning on non-Euclidean objects such as graphs and manifolds, coined Geometric Deep Learning (GDL), continues to gain an ever increasing…

Machine Learning · Computer Science 2020-09-14 Yuzhou Chen , Yulia R. Gel , Konstantin Avrachenkov

Graph representation learning resurges as a trending research subject owing to the widespread use of deep learning for Euclidean data, which inspire various creative designs of neural networks in the non-Euclidean domain, particularly…

Connection graphs (CGs) extend traditional graph models by coupling network topology with orthogonal transformations, enabling the representation of global geometric consistency. They play a key role in applications such as synchronization,…

Machine Learning · Computer Science 2025-10-14 Leonardo Di Nino , Gabriele D'Acunto , Sergio Barbarossa , Paolo Di Lorenzo

Important advances have been made using convolutional neural network (CNN) approaches to solve complicated problems in areas that rely on grid structured data such as image processing and object classification. Recently, research on graph…

Machine Learning · Statistics 2018-08-24 Matthew Baron

Following the success of deep convolutional networks in various vision and speech related tasks, researchers have started investigating generalizations of the well-known technique for graph-structured data. A recently-proposed method called…

Social and Information Networks · Computer Science 2018-09-21 John Boaz Lee , Ryan A. Rossi , Xiangnan Kong , Sungchul Kim , Eunyee Koh , Anup Rao

Graph neural networks (GNNs) achieve remarkable success in graph-based semi-supervised node classification, leveraging the information from neighboring nodes to improve the representation learning of target node. The success of GNNs at node…

Machine Learning · Computer Science 2020-07-28 Bingbing Xu , Junjie Huang , Liang Hou , Huawei Shen , Jinhua Gao , Xueqi Cheng

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 proved to be a most powerful architecture in aggregating local neighborhood information for individual graph nodes. Low-rank proximities and node features are successfully leveraged in existing GCNs,…

Machine Learning · Computer Science 2019-05-31 Ziyao Li , Liang Zhang , Guojie Song

Graph neural networks (GNNs) have achieved remarkable success in a variety of machine learning tasks over graph data. Existing GNNs usually rely on message passing, i.e., computing node representations by gathering information from the…

Machine Learning · Computer Science 2024-10-15 Junru Zhou , Cai Zhou , Xiyuan Wang , Pan Li , Muhan Zhang

Graph convolutional networks are becoming indispensable for deep learning from graph-structured data. Most of the existing graph convolutional networks share two big shortcomings. First, they are essentially low-pass filters, thus the…

Machine Learning · Computer Science 2022-06-23 Zonghan Wu , Shirui Pan , Guodong Long , Jing Jiang , Chengqi Zhang

Deep learning methods have been shown to be effective in representing ground-state wave functions of quantum many-body systems. Existing methods use convolutional neural networks (CNNs) for square lattices due to their image-like…

Quantum Physics · Physics 2022-06-16 Cong Fu , Xuan Zhang , Huixin Zhang , Hongyi Ling , Shenglong Xu , Shuiwang Ji

Graph convolutional neural networks (GCNNs) have been widely used in graph learning. It has been observed that the smoothness functional on graphs can be defined in terms of the graph Laplacian. This fact points out in the direction of…

Machine Learning · Computer Science 2020-09-30 Asif Salim , Sumitra S

In representation learning on graph-structured data, many popular graph neural networks (GNNs) fail to capture long-range dependencies, leading to performance degradation. Furthermore, this weakness is magnified when the concerned graph is…

Machine Learning · Computer Science 2024-03-07 Mengying Jiang , Guizhong Liu , Yuanchao Su , Xinliang Wu

In this work, we are interested in generalizing convolutional neural networks (CNNs) from low-dimensional regular grids, where image, video and speech are represented, to high-dimensional irregular domains, such as social networks, brain…

Machine Learning · Computer Science 2017-02-07 Michaël Defferrard , Xavier Bresson , Pierre Vandergheynst

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

Recently, Graph Convolutional Networks (GCNs) have proven to be a powerful machine learning tool for Computer-Aided Diagnosis (CADx) and disease prediction. A key component in these models is to build a population graph, where the graph…

Machine Learning · Computer Science 2022-05-16 Luca Cosmo , Anees Kazi , Seyed-Ahmad Ahmadi , Nassir Navab , Michael Bronstein

Graph Convolutional Neural Networks (GCNNs) extend classical CNNs to graph data domain, such as brain networks, social networks and 3D point clouds. It is critical to identify an appropriate graph for the subsequent graph convolution.…

Machine Learning · Computer Science 2019-09-12 Jiaxiang Tang , Wei Hu , Xiang Gao , Zongming Guo

Convolutional Neural Network (CNN) has demonstrated impressive ability to represent hyperspectral images and to achieve promising results in hyperspectral image classification. However, traditional CNN models can only operate convolution on…

Image and Video Processing · Electrical Eng. & Systems 2019-05-16 Sheng Wan , Chen Gong , Ping Zhong , Bo Du , Lefei Zhang , Jian Yang

Recently, techniques for applying convolutional neural networks to graph-structured data have emerged. Graph convolutional neural networks (GCNNs) have been used to address node and graph classification and matrix completion. Although the…

Machine Learning · Statistics 2018-11-28 Yingxue Zhang , Soumyasundar Pal , Mark Coates , Deniz Üstebay
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