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Graph Neural Networks (GNNs) have recently become increasingly popular due to their ability to learn complex systems of relations or interactions arising in a broad spectrum of problems ranging from biology and particle physics to social…

Machine Learning · Computer Science 2020-10-12 Emanuele Rossi , Ben Chamberlain , Fabrizio Frasca , Davide Eynard , Federico Monti , Michael Bronstein

Spectral Graph Neural Networks (GNNs) have achieved tremendous success in graph learning. As an essential part of spectral GNNs, spectral graph convolution extracts crucial frequency information in graph data, leading to superior…

Machine Learning · Computer Science 2024-04-09 Guoming Li , Jian Yang , Shangsong Liang , Dongsheng Luo

Graph Neural Networks (GNNs) have emerged as powerful tools for learning on graph-structured data, but often struggle to balance local and global information. While graph Transformers aim to address this by enabling long-range interactions,…

Machine Learning · Computer Science 2025-11-18 Jeongwhan Choi , Seungjun Park , Sumin Park , Sung-Bae Cho , Noseong Park

Graph Fourier transform (GFT) is one of the fundamental tools in graph signal processing to decompose graph signals into different frequency components and to represent graph signals with strong correlation by different modes of variation…

Information Theory · Computer Science 2022-09-08 Cheng Cheng , Yang Chen , Jeon Yu Lee , Qiyu Sun

This paper introduces a novel Laplacian matrix aiming to enable the construction of spectral convolutional networks and to extend the signal processing applications for directed graphs. Our proposal is inspired by a Haar-like transformation…

Machine Learning · Computer Science 2025-10-02 Theodor-Adrian Badea , Bogdan Dumitrescu

Graph signals are signals with an irregular structure that can be described by a graph. Graph neural networks (GNNs) are information processing architectures tailored to these graph signals and made of stacked layers that compose graph…

Signal Processing · Electrical Eng. & Systems 2020-02-19 Luana Ruiz , Fernando Gama , Antonio G. Marques , Alejandro Ribeiro

This work introduces the multidimensional Graph Fourier Transformation Neural Network (GFTNN) for long-term trajectory predictions on highways. Similar to Graph Neural Networks (GNNs), the GFTNN is a novel network architecture that operates…

Machine Learning · Computer Science 2023-05-15 Marion Neumeier , Andreas Tollkühn , Michael Botsch , Wolfgang Utschick

We focus on graph-to-sequence learning, which can be framed as transducing graph structures to sequences for text generation. To capture structural information associated with graphs, we investigate the problem of encoding graphs using…

Computation and Language · Computer Science 2019-09-10 Zhijiang Guo , Yan Zhang , Zhiyang Teng , Wei Lu

Graph Neural Networks (GNNs) have excelled in handling graph-structured data, attracting significant research interest. However, two primary challenges have emerged: interference between topology and attributes distorting node…

Machine Learning · Computer Science 2024-11-19 Yachao Yang , Yanfeng Sun , Jipeng Guo , Junbin Gao , Shaofan Wang , Fujiao Ju , Baocai Yin

Graph Convolutional Networks (GCNs) are predominantly tailored for graphs displaying homophily, where similar nodes connect, but often fail on heterophilic graphs. The strategy of adopting distinct approaches to learn from homophilic and…

Machine Learning · Computer Science 2025-04-09 Han Lei , Jiaxing Xu , Xia Dong , Yiping Ke

This work introduces a wavelet neural network to learn a filter-bank specialized to fit non-stationary signals and improve interpretability and performance for digital signal processing. The network uses a wavelet transform as the first…

Machine Learning · Computer Science 2022-05-09 Jason Stock , Chuck Anderson

Convolutional Neural Networks (CNNs) are the current de-facto models used for many imaging tasks due to their high learning capacity as well as their architectural qualities. The ubiquitous UNet architecture provides an efficient and…

Image and Video Processing · Electrical Eng. & Systems 2020-09-30 Demetris Marnerides , Thomas Bashford-Rogers , Kurt Debattista

Graph Convolutional Neural Networks (Graph CNNs) are generalizations of classical CNNs to handle graph data such as molecular data, point could and social networks. Current filters in graph CNNs are built for fixed and shared graph…

Machine Learning · Computer Science 2018-01-11 Ruoyu Li , Sheng Wang , Feiyun Zhu , Junzhou Huang

Diffusion wavelets extract information from graph signals at different scales of resolution by utilizing graph diffusion operators raised to various powers, known as diffusion scales. Traditionally, these scales are chosen to be dyadic…

Machine Learning · Computer Science 2025-09-17 David R. Johnson , Smita Krishnaswamy , Michael Perlmutter

Graph neural networks (GNNs) have demonstrated great success in representation learning for graph-structured data. The layer-wise graph convolution in GNNs is shown to be powerful at capturing graph topology. During this process, GNNs are…

Machine Learning · Computer Science 2021-12-10 Mingxuan Ju , Shifu Hou , Yujie Fan , Jianan Zhao , Liang Zhao , Yanfang Ye

Convolutional neural network (CNN), with ability of feature learning and nonlinear mapping, has demonstrated its effectiveness in prognostics and health management (PHM). However, explanation on the physical meaning of a CNN architecture…

Computer Vision and Pattern Recognition · Computer Science 2023-03-24 Tianfu Li , Zhibin Zhao , Chuang Sun , Li Cheng , Xuefeng Chen , Ruqiang Yan , Robert X. Gao

This paper has proposed a new baseline deep learning model of more benefits for image classification. Different from the convolutional neural network(CNN) practice where filters are trained by back propagation to represent different…

Computer Vision and Pattern Recognition · Computer Science 2021-08-13 Yifei Li , Kuangyan Song , Yiming Sun , Liao Zhu

Graph Neural Networks (GNNs) are an emerging research field. This specialized Deep Neural Network (DNN) architecture is capable of processing graph structured data and bridges the gap between graph processing and Deep Learning (DL). As…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-05-24 Jana Vatter , Ruben Mayer , Hans-Arno Jacobsen

Graph Neural Networks (GNN) have shown remarkable performance in different tasks. However, there are a few studies about GNN on recommender systems. GCN as a type of GNNs can extract high-quality embeddings for different entities in a…

Information Retrieval · Computer Science 2022-01-17 Taher Hekmatfar , Saman Haratizadeh , Parsa Razban , Sama Goliaei

Applications of machine learning techniques for materials modeling typically involve functions known to be equivariant or invariant to specific symmetries. While graph neural networks (GNNs) have proven successful in such tasks, they…