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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

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 been widely demonstrated their powerful ability in graph data representation and learning. Existing graph convolution layers are mainly designed based on graph signal processing and transform aspect…

Computer Vision and Pattern Recognition · Computer Science 2022-04-27 Ziyan Zhang , Bo Jiang , Bin Luo

Graph Neural Networks (GNNs) are an effective framework for representation learning of graphs. GNNs follow a neighborhood aggregation scheme, where the representation vector of a node is computed by recursively aggregating and transforming…

Machine Learning · Computer Science 2019-02-26 Keyulu Xu , Weihua Hu , Jure Leskovec , Stefanie Jegelka

Graph neural networks (GNNs) are a popular class of machine learning models whose major advantage is their ability to incorporate a sparse and discrete dependency structure between data points. Unfortunately, GNNs can only be used when such…

Machine Learning · Computer Science 2020-06-22 Luca Franceschi , Mathias Niepert , Massimiliano Pontil , Xiao He

Learning graph convolutional networks (GCNs) is an emerging field which aims at generalizing convolutional operations to arbitrary non-regular domains. In particular, GCNs operating on spatial domains show superior performances compared to…

Computer Vision and Pattern Recognition · Computer Science 2021-12-08 Hichem Sahbi

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) have been widely used due to their outstanding performance in processing graph-structured data. However, the undirected graphs limit their application scope. In this paper, we extend spectral-based graph…

Machine Learning · Computer Science 2020-04-30 Zekun Tong , Yuxuan Liang , Changsheng Sun , David S. Rosenblum , Andrew Lim

Graph Convolutional Networks (GCNs) are a class of general models that can learn from graph structured data. Despite being general, GCNs are admittedly inferior to convolutional neural networks (CNNs) when applied to vision tasks, mainly…

Computer Vision and Pattern Recognition · Computer Science 2019-07-23 Boris Knyazev , Xiao Lin , Mohamed R. Amer , Graham W. Taylor

Machine learning techniques for road networks hold the potential to facilitate many important transportation applications. Graph Convolutional Networks (GCNs) are neural networks that are capable of leveraging the structure of a road…

Machine Learning · Computer Science 2020-07-23 Tobias Skovgaard Jepsen , Christian S. Jensen , Thomas Dyhre Nielsen

Graph Convolutional Networks (GCNs) are one of the most popular architectures that are used to solve classification problems accompanied by graphical information. We present a rigorous theoretical understanding of the effects of graph…

Machine Learning · Computer Science 2022-08-03 Aseem Baranwal , Kimon Fountoulakis , Aukosh Jagannath

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 neural networks (GNNs) are a powerful tool to learn representations on graphs by iteratively aggregating features from node neighbourhoods. Many variant models have been proposed, but there is limited understanding on both how to…

Machine Learning · Computer Science 2019-11-14 Michael Lingzhi Li , Meng Dong , Jiawei Zhou , Alexander M. Rush

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

Graph neural networks (GNNs) rely on graph convolutions to extract local features from network data. These graph convolutions combine information from adjacent nodes using coefficients that are shared across all nodes. Since these…

Machine Learning · Computer Science 2020-10-22 Luana Ruiz , Luiz F. O. Chamon , Alejandro Ribeiro

Graph convolutional network (GCN) is an emerging neural network approach. It learns new representation of a node by aggregating feature vectors of all neighbors in the aggregation process without considering whether the neighbors or…

Machine Learning · Computer Science 2022-04-01 Li Zhang , Heda Song , Nikolaos Aletras , Haiping Lu

Lots of learning tasks require dealing with graph data which contains rich relation information among elements. Modeling physics systems, learning molecular fingerprints, predicting protein interface, and classifying diseases demand a model…

Machine Learning · Computer Science 2021-10-07 Jie Zhou , Ganqu Cui , Shengding Hu , Zhengyan Zhang , Cheng Yang , Zhiyuan Liu , Lifeng Wang , Changcheng Li , Maosong Sun

Graph Convolutional Networks (GCNs) have been shown to be a powerful concept that has been successfully applied to a large variety of tasks across many domains over the past years. In this work we study the theory that paved the way to the…

Machine Learning · Computer Science 2022-07-13 Matteo Bunino

Graph neural networks (GNNs) have significantly improved the representation power for graph-structured data. Despite of the recent success of GNNs, the graph convolution in most GNNs have two limitations. Since the graph convolution is…

Machine Learning · Computer Science 2021-12-30 Jinyoung Park , Sungdong Yoo , Jihwan Park , Hyunwoo J. Kim

Graph neural networks (GNNs) are effective machine learning models for various graph learning problems. Despite their empirical successes, the theoretical limitations of GNNs have been revealed recently. Consequently, many GNN models have…

Machine Learning · Computer Science 2020-10-19 Ryoma Sato
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