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Stability of graph neural networks (GNNs) characterizes how GNNs react to graph perturbations and provides guarantees for architecture performance in noisy scenarios. This paper develops a self-regularized graph neural network (SR-GNN)…

Signal Processing · Electrical Eng. & Systems 2022-11-15 Zhan Gao , Elvin Isufi

Graph machine learning has been widely explored in various domains, such as community detection, transaction analysis, and recommendation systems. In these applications, anomaly detection plays an important role. Recently, studies have…

Machine Learning · Computer Science 2025-11-21 Wei Herng Choong , Jixing Liu , Ching-Yu Kao , Philip Sperl

To alleviate the local receptive issue of GCN, Transformers have been exploited to capture the long range dependences of nodes for graph data representation and learning. However, existing graph Transformers generally employ regular…

Machine Learning · Computer Science 2023-05-15 Bo Jiang , Fei Xu , Ziyan Zhang , Jin Tang , Feiping Nie

Graph neural networks (GNNs) have been extensively studied for prediction tasks on graphs. As pointed out by recent studies, most GNNs assume local homophily, i.e., strong similarities in local neighborhoods. This assumption however limits…

Machine Learning · Computer Science 2021-10-04 Sean Li , Dongwoo Kim , Qing Wang

Graph is a fundamental data structure to model interconnections between entities. Set, on the contrary, stores independent elements. To learn graph representations, current Graph Neural Networks (GNNs) primarily use message passing to…

Machine Learning · Computer Science 2024-06-03 Xiyuan Wang , Pan Li , Muhan Zhang

Graph Transformer (GT), as a special type of Graph Neural Networks (GNNs), utilizes multi-head attention to facilitate high-order message passing. However, this also imposes several limitations in node classification applications: 1) nodes…

Machine Learning · Computer Science 2024-10-16 Jiajun Zhou , Xuanze Chen , Chenxuan Xie , Yu Shanqing , Qi Xuan , Xiaoniu Yang

Spectral Graph Neural Network is a kind of Graph Neural Network (GNN) based on graph signal filters. Some models able to learn arbitrary spectral filters have emerged recently. However, few works analyze the expressive power of spectral…

Machine Learning · Computer Science 2022-06-20 Xiyuan Wang , Muhan Zhang

Spectral graph neural networks learn graph filters, but their behavior with increasing depth and polynomial order is not well understood. We analyze these models in the graph Fourier domain, where each layer becomes an element-wise…

Machine Learning · Computer Science 2026-04-02 Vahan A. Martirosyan , Daniele Malitesta , Hugues Talbot , Jhony H. Giraldo , Fragkiskos D. Malliaros

The use of graph convolution in the development of recommender system algorithms has recently achieved state-of-the-art results in the collaborative filtering task (CF). While it has been demonstrated that the graph convolution operation is…

Information Retrieval · Computer Science 2023-05-31 Edoardo D'Amico , Aonghus Lawlor , Neil Hurley

In real-world applications, spectral Graph Neural Networks (GNNs) are powerful tools for processing diverse types of graphs. However, a single GNN often struggles to handle different graph types-such as homogeneous and heterogeneous…

Machine Learning · Computer Science 2024-12-19 Shibing Mo , Kai Wu , Qixuan Gao , Xiangyi Teng , Jing Liu

Fairness-aware Graph Neural Networks (GNNs) often face a challenging trade-off, where prioritizing fairness may require compromising utility. In this work, we re-examine fairness through the lens of spectral graph theory, aiming to…

Machine Learning · Computer Science 2024-08-14 Renqiang Luo , Huafei Huang , Shuo Yu , Zhuoyang Han , Estrid He , Xiuzhen Zhang , Feng Xia

Graph Neural Networks (GNNs) have achieved significant success across various domains by leveraging graph structures in data. Existing spectral GNNs, which use low-degree polynomial filters to capture graph spectral properties, may not…

Machine Learning · Computer Science 2025-05-09 Vahan Martirosyan , Jhony H. Giraldo , Fragkiskos D. Malliaros

Spectral graph convolutional networks are generalizations of standard convolutional networks for graph-structured data using the Laplacian operator. A common misconception is the instability of spectral filters, i.e. the impossibility to…

Machine Learning · Computer Science 2020-12-21 Axel Nilsson , Xavier Bresson

The growing use of deep learning necessitates efficient network design and deployment, making neural predictors vital for estimating attributes such as accuracy and latency. Recently, Graph Neural Networks (GNNs) and transformers have shown…

Machine Learning · Computer Science 2025-07-02 Ruihan Xu , Haokui Zhang , Yaowei Wang , Wei Zeng , Shiliang Zhang

Convolutional Neural Networks (CNNs) have recently led to incredible breakthroughs on a variety of pattern recognition problems. Banks of finite impulse response filters are learned on a hierarchy of layers, each contributing more abstract…

Computer Vision and Pattern Recognition · Computer Science 2017-07-18 Felipe Petroski Such , Shagan Sah , Miguel Dominguez , Suhas Pillai , Chao Zhang , Andrew Michael , Nathan Cahill , Raymond Ptucha

We propose a novel spectral convolutional neural network (CNN) model on graph structured data, namely Distributed Feedback-Looped Networks (DFNets). This model is incorporated with a robust class of spectral graph filters, called…

Machine Learning · Computer Science 2020-01-20 Asiri Wijesinghe , Qing Wang

Convolutional neural networks (CNNs) have achieved remarkable performance in hyperspectral image (HSI) classification over the last few years. Despite the progress that has been made, rich and informative spectral information of HSI has…

Computer Vision and Pattern Recognition · Computer Science 2024-07-09 Huiling Wang

Representing a graph as a vector is a challenging task; ideally, the representation should be easily computable and conducive to efficient comparisons among graphs, tailored to the particular data and analytical task at hand. Unfortunately,…

Social and Information Networks · Computer Science 2018-11-16 Anton Tsitsulin , Davide Mottin , Panagiotis Karras , Alex Bronstein , Emmanuel Müller

Graph neural networks have developed by leaps and bounds in recent years due to the restriction of traditional convolutional filters on non-Euclidean structured data. Spectral graph theory mainly studies fundamental graph properties using…

Spectral Theory · Mathematics 2023-09-08 Xinye Chen

Deep learning's performance has been extensively recognized recently. Graph neural networks (GNNs) are designed to deal with graph-structural data that classical deep learning does not easily manage. Since most GNNs were created using…

Machine Learning · Computer Science 2023-09-20 Zhiqian Chen , Fanglan Chen , Lei Zhang , Taoran Ji , Kaiqun Fu , Liang Zhao , Feng Chen , Lingfei Wu , Charu Aggarwal , Chang-Tien Lu