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Graph Convolutional Networks (GCNs) are specialized neural networks for feature extraction from graph-structured data. In contrast to traditional convolutional networks, GCNs offer distinct advantages when processing irregular data, which…

Quantum Physics · Physics 2025-03-11 Zi Ye , Kai Yu , Song Lin

Spectral graph convolutional neural networks (GCNNs) have been producing encouraging results in graph classification tasks. However, most spectral GCNNs utilize fixed graphs when aggregating node features, while omitting edge feature…

Computer Vision and Pattern Recognition · Computer Science 2022-10-06 Yang Yi , Xuequan Lu , Shang Gao , Antonio Robles-Kelly , Yuejie Zhang

Graphs are central to modeling complex systems in domains such as social networks, molecular chemistry, and neuroscience. While Graph Neural Networks, particularly Graph Convolutional Networks, have become standard tools for graph learning,…

Machine Learning · Computer Science 2025-11-03 Angelica Liguori , Ettore Ritacco , Pietro Sabatino , Annalisa Socievole

Graph neural networks (GNNs) are widely applied in graph data modeling. However, existing GNNs are often trained in a task-driven manner that fails to fully capture the intrinsic nature of the graph structure, resulting in sub-optimal node…

Machine Learning · Computer Science 2024-07-17 Zhenhua Huang , Kunhao Li , Shaojie Wang , Zhaohong Jia , Wentao Zhu , Sharad Mehrotra

Graph representation learning (GRL) is critical for graph-structured data analysis. However, most of the existing graph neural networks (GNNs) heavily rely on labeling information, which is normally expensive to obtain in the real world.…

Machine Learning · Computer Science 2022-11-22 Yizhen Zheng , Ming Jin , Shirui Pan , Yuan-Fang Li , Hao Peng , Ming Li , Zhao Li

Spectral-based graph neural networks (SGNNs) have been attracting increasing attention in graph representation learning. However, existing SGNNs are limited in implementing graph filters with rigid transforms (e.g., graph Fourier or…

Machine Learning · Computer Science 2022-01-05 Mingxing Xu , Wenrui Dai , Chenglin Li , Junni Zou , Hongkai Xiong , Pascal Frossard

Graph neural networks (GNNs) are fundamental tools in graph machine learning. The performance of GNNs relies crucially on the availability of informative node features, which can be limited or absent in real-life datasets and applications.…

Machine Learning · Computer Science 2025-12-08 Ziyao Cui , Edric Tam

Spectral Graph Neural Networks (GNNs) are gaining attention for their ability to surpass the limitations of message-passing GNNs. They rely on supervision from downstream tasks to learn spectral filters that capture the graph signal's…

Machine Learning · Computer Science 2024-05-24 Junjie Xu , Enyan Dai , Dongsheng Luo , Xiang Zhang , Suhang Wang

Graph Representation Learning (GRL) can be fundamentally modeled as a physical process of seeking an energy equilibrium state for a node system on a latent manifold. However, existing Graph Neural Networks (GNNs) often suffer from…

Machine Learning · Computer Science 2026-04-08 Rui Chen , Junjun Guo , Hongbin Wang , Yan Xiang , Yantuan Xian , Zhengtao Yu

Though graph representation learning (GRL) has made significant progress, it is still a challenge to extract and embed the rich topological structure and feature information in an adequate way. Most existing methods focus on local structure…

Machine Learning · Computer Science 2022-12-09 Ruiyi Fang , Liangjian Wen , Zhao Kang , Jianzhuang Liu

Reservoir computing has been successfully applied to graphs as a preprocessing method to improve the training efficiency of Graph Neural Networks (GNNs). However, a common issue that arises when repeatedly applying layer operators on graphs…

Machine Learning · Computer Science 2025-09-29 Anna Bison , Alessandro Sperduti

Graph representation learning (GRL) has emerged as a powerful technique for solving graph analytics tasks. It can effectively convert discrete graph data into a low-dimensional space where the graph structural information and graph…

Social and Information Networks · Computer Science 2023-09-21 Chunyu Miao , Chenxuan Xie , Jiajun Zhou , Shanqing Yu , Lina Chen , Qi Xuan

To improve the robustness of graph neural networks (GNN), graph structure learning (GSL) has attracted great interest due to the pervasiveness of noise in graph data. Many approaches have been proposed for GSL to jointly learn a clean graph…

Machine Learning · Computer Science 2023-07-06 Shaogao Lv , Gang Wen , Shiyu Liu , Linsen Wei , Ming Li

Graph representation learning (GRL) is a fundamental task in machine learning, aiming to encode high-dimensional graph-structured data into low-dimensional vectors. Self-supervised learning (SSL) methods are widely used in GRL because they…

Machine Learning · Computer Science 2024-11-12 Shifeng Xie , Jhony H. Giraldo

Recently a variety of methods have been developed to encode graphs into low-dimensional vectors that can be easily exploited by machine learning algorithms. The majority of these methods start by embedding the graph nodes into a…

Machine Learning · Computer Science 2018-09-13 Yu Jin , Joseph F. JaJa

Graph classification has gained significant attention due to its applications in chemistry, social networks, and bioinformatics. While Graph Neural Networks (GNNs) effectively capture local structural patterns, they often overlook global…

Machine Learning · Computer Science 2025-12-03 Ahmet Sami Korkmaz , Selim Coskunuzer , Md Joshem Uddin

This paper aims to provide a novel design of a multiscale framelet convolution for spectral graph neural networks (GNNs). While current spectral methods excel in various graph learning tasks, they often lack the flexibility to adapt to…

Machine Learning · Computer Science 2024-07-30 Mengxi Yang , Dai Shi , Xuebin Zheng , Jie Yin , Junbin Gao

Spectral graph neural networks are proposed to harness spectral information inherent in graph-structured data through the application of polynomial-defined graph filters, recently achieving notable success in graph-based web applications.…

Signal Processing · Electrical Eng. & Systems 2025-01-27 Guoming Li , Jian Yang , Shangsong Liang , Dongsheng Luo

Graph neural networks (GNNs) demonstrate a robust capability for representation learning on graphs with complex structures, showcasing superior performance in various applications. The majority of existing GNNs employ a graph convolution…

Machine Learning · Computer Science 2025-02-19 Jinlu Wang , Jipeng Guo , Yanfeng Sun , Junbin Gao , Shaofan Wang , Yachao Yang , Baocai Yin

Graph Neural Network (GNN) is an emerging technique for graph-based learning tasks such as node classification. In this work, we reveal the vulnerability of GNN to the imbalance of node labels. Traditional solutions for imbalanced…

Machine Learning · Computer Science 2022-02-08 Xiaohe Li , Lijie Wen , Yawen Deng , Fuli Feng , Xuming Hu , Lei Wang , Zide Fan