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Semi-supervised learning on graphs is a widely applicable problem in network science and machine learning. Two standard algorithms -- label propagation and graph neural networks -- both operate by repeatedly passing information along edges,…

Machine Learning · Computer Science 2021-02-02 Junteng Jia , Austin R. Benson

Graph Neural Networks (graph NNs) are a promising deep learning approach for analyzing graph-structured data. However, it is known that they do not improve (or sometimes worsen) their predictive performance as we pile up many layers and add…

Machine Learning · Computer Science 2021-01-07 Kenta Oono , Taiji Suzuki

Geometric deep learning has made great strides towards generalizing the design of structure-aware neural networks from traditional domains to non-Euclidean ones, giving rise to graph neural networks (GNN) that can be applied to…

Machine Learning · Statistics 2024-10-28 Frederik Wenkel , Yimeng Min , Matthew Hirn , Michael Perlmutter , Guy Wolf

Graph Convolution Network (GCN) has attracted significant attention and become the most popular method for learning graph representations. In recent years, many efforts have been focused on integrating GCN into the recommender tasks and…

Machine Learning · Computer Science 2020-07-14 Kang Liu , Feng Xue , Richang Hong

In many real-world network datasets such as co-authorship, co-citation, email communication, etc., relationships are complex and go beyond pairwise. Hypergraphs provide a flexible and natural modeling tool to model such complex…

Machine Learning · Computer Science 2019-05-23 Naganand Yadati , Madhav Nimishakavi , Prateek Yadav , Vikram Nitin , Anand Louis , Partha Talukdar

The core operation of current Graph Neural Networks (GNNs) is the aggregation enabled by the graph Laplacian or message passing, which filters the neighborhood information of nodes. Though effective for various tasks, in this paper, we show…

Machine Learning · Computer Science 2022-12-22 Sitao Luan , Mingde Zhao , Chenqing Hua , Xiao-Wen Chang , Doina Precup

Graph convolution networks (GCNs) are currently mainstream in learning with irregular data. These models rely on message passing and attention mechanisms that capture context and node-to-node relationships. With multi-head attention, GCNs…

Machine Learning · Computer Science 2022-03-28 Hichem Sahbi

Graph convolution operator of the GCN model is originally motivated from a localized first-order approximation of spectral graph convolutions. This work stands on a different view; establishing a \textit{mathematical connection between…

Machine Learning · Computer Science 2021-03-03 Lingxiao Zhao , Leman Akoglu

Graph neural networks (GNNs) have emerged as powerful tools for processing relational data in applications. However, GNNs suffer from the problem of oversmoothing, the property that the features of all nodes exponentially converge to the…

Machine Learning · Statistics 2025-05-22 Bastian Epping , Alexandre René , Moritz Helias , Michael T. Schaub

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

Cervical cancer is the second most prevalent cancer affecting women today. As the early detection of cervical carcinoma relies heavily upon screening and pre-clinical testing, digital cervicography has great potential as a primary or…

Computer Vision and Pattern Recognition · Computer Science 2020-04-02 Yanglan Ou , Yuan Xue , Ye Yuan , Tao Xu , Vincent Pisztora , Jia Li , Xiaolei Huang

In this paper, we study the robustness of graph convolutional networks (GCNs). Previous work have shown that GCNs are vulnerable to adversarial perturbation on adjacency or feature matrices of existing nodes; however, such attacks are…

Machine Learning · Computer Science 2020-09-07 Xiaoyun Wang , Minhao Cheng , Joe Eaton , Cho-Jui Hsieh , Felix Wu

The aim of this work is to develop a fully-distributed algorithmic framework for training graph convolutional networks (GCNs). The proposed method is able to exploit the meaningful relational structure of the input data, which are collected…

Machine Learning · Computer Science 2022-12-21 Simone Scardapane , Indro Spinelli , Paolo Di Lorenzo

Graph Convolutional Networks (GCNs) have proven to be successful tools for semi-supervised classification on graph-based datasets. We propose a new GCN variant whose three-part filter space is targeted at dense graphs. Examples include…

Machine Learning · Computer Science 2021-01-29 Dominik Alfke , Martin Stoll

Graph convolutional networks (GCN) is widely used to handle irregular data since it updates node features by using the structure information of graph. With the help of iterated GCN, high-order information can be obtained to further enhance…

Computer Vision and Pattern Recognition · Computer Science 2023-07-19 Wenyu Zhang , Qing Ding , Jian Hu , Yi Ma , Mingzhe Lu

Graph Neural Networks (GNNs) have achieved great success in learning graph representations and thus facilitating various graph-related tasks. However, most GNN methods adopt a supervised learning setting, which is not always feasible in…

Machine Learning · Computer Science 2022-08-16 Hongliang Chi , Yao Ma

The robustness of the much-used Graph Convolutional Networks (GCNs) to perturbations of their input is becoming a topic of increasing importance. In this paper, the random GCN is introduced for which a random matrix theory analysis is…

Machine Learning · Computer Science 2022-02-22 Mohamed El Amine Seddik , Changmin Wu , Johannes F. Lutzeyer , Michalis Vazirgiannis

In recent years, graph neural networks (GNNs) have emerged as a potent tool for learning on graph-structured data and won fruitful successes in varied fields. The majority of GNNs follow the message-passing paradigm, where representations…

Machine Learning · Computer Science 2024-08-30 Yurui Lai , Xiaoyang Lin , Renchi Yang , Hongtao Wang

The recently proposed Graph Convolutional Networks (GCNs) have achieved significantly superior performance on various graph-related tasks, such as node classification and recommendation. However, currently researches on GCN models usually…

Machine Learning · Computer Science 2022-03-31 Hao Chen , Zhong Huang , Yue Xu , Zengde Deng , Feiran Huang , Peng He , Zhoujun Li

Despite the wide application of Graph Convolutional Network (GCN), one major limitation is that it does not benefit from the increasing depth and suffers from the oversmoothing problem. In this work, we first characterize this phenomenon…