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Recently, graph prompt learning has garnered increasing attention in adapting pre-trained GNN models for downstream graph learning tasks. However, existing works generally conduct prompting over all graph elements (e.g., nodes, edges, node…

Machine Learning · Computer Science 2024-10-30 Bo Jiang , Hao Wu , Beibei Wang , Jin Tang , Bin Luo

This paper provides an overview of the current landscape of signal processing (SP) on directed graphs (digraphs). Directionality is inherent to many real-world (information, transportation, biological) networks and it should play an…

Signal Processing · Electrical Eng. & Systems 2020-08-04 Antonio G. Marques , Santiago Segarra , Gonzalo Mateos

Graph Signal Processing (GSP) is an emerging research field that extends the concepts of digital signal processing to graphs. GSP has numerous applications in different areas such as sensor networks, machine learning, and image processing.…

Signal Processing · Electrical Eng. & Systems 2022-07-15 Jhony H. Giraldo , Arif Mahmood , Belmar Garcia-Garcia , Dorina Thanou , Thierry Bouwmans

Choosing an appropriate frequency definition and norm is critical in graph signal sampling and reconstruction. Most previous works define frequencies based on the spectral properties of the graph and use the same frequency definition and…

Signal Processing · Electrical Eng. & Systems 2024-09-17 Darukeesan Pakiyarajah , Eduardo Pavez , Antonio Ortega

Motivated by the emerging area of graph signal processing (GSP), we introduce a novel method to draw inference from spatiotemporal signals. Data acquisition in different locations over time is common in sensor networks, for diverse…

Signal Processing · Electrical Eng. & Systems 2020-10-28 Nafiseh Ghoroghchian , Stark C. Draper , Roman Genov

Defining a sound shift operator for signals existing on a certain graph structure, similar to the well-defined shift operator in classical signal processing, is a crucial problem in graph signal processing, since almost all operations, such…

Spectral Theory · Mathematics 2017-09-07 Adnan Gavili , Xiao-Ping Zhang

Graphs serve as generic tools to encode the underlying relational structure of data. Often this graph is not given, and so the task of inferring it from nodal observations becomes important. Traditional approaches formulate a convex inverse…

Machine Learning · Computer Science 2024-06-24 Max Wasserman , Gonzalo Mateos

Graph structure learning (GSL), which aims to learn the adjacency matrix for graph neural networks (GNNs), has shown great potential in boosting the performance of GNNs. Most existing GSL works apply a joint learning framework where the…

Machine Learning · Computer Science 2023-03-02 Jianan Zhao , Qianlong Wen , Mingxuan Ju , Chuxu Zhang , Yanfang Ye

The growing complexity of wireless systems has accelerated the move from traditional methods to learning-based solutions. Graph Neural Networks (GNNs) are especially well-suited here, since wireless networks can be naturally represented as…

Signal Processing · Electrical Eng. & Systems 2025-10-02 Romina Garcia Camargo , Zhiyang Wang , Alejandro Ribeiro

Efficient and robust prediction of graph signals is challenging when the signals are under impulsive noise and have missing data. Exploiting graph signal processing (GSP) and leveraging the simplicity of the classical adaptive sign…

Signal Processing · Electrical Eng. & Systems 2024-05-08 Changran Peng , Yi Yan , Ercan E. Kuruoglu

Network data can be conveniently modeled as a graph signal, where data values are assigned to nodes of a graph that describes the underlying network topology. Successful learning from network data is built upon methods that effectively…

Machine Learning · Computer Science 2021-05-26 Fernando Gama , Elvin Isufi , Geert Leus , Alejandro Ribeiro

Graph Gaussian Processes (GGPs) provide a data-efficient solution on graph structured domains. Existing approaches have focused on static structures, whereas many real graph data represent a dynamic structure, limiting the applications of…

Machine Learning · Computer Science 2021-11-04 David Blanco-Mulero , Markus Heinonen , Ville Kyrki

Recent years have witnessed great success in handling graph-related tasks with Graph Neural Networks (GNNs). However, most existing GNNs are based on message passing to perform feature aggregation and transformation, where the structural…

Machine Learning · Computer Science 2024-09-10 Lirong Wu , Haitao Lin , Guojiang Zhao , Cheng Tan , Stan Z. Li

The study of sampling signals on graphs, with the goal of building an analog of sampling for standard signals in the time and spatial domains, has attracted considerable attention recently. Beyond adding to the growing theory on graph…

Signal Processing · Electrical Eng. & Systems 2020-12-02 Yuichi Tanaka , Yonina C. Eldar , Antonio Ortega , Gene Cheung

Collaborative Filtering (CF) is a foundational approach in recommender systems, but it struggles with challenges such as data sparsity and the cold-start problem. Cross-Domain Recommendation (CDR) has emerged as a promising solution by…

Information Retrieval · Computer Science 2025-09-18 Jeongeun Lee , Seongku Kang , Won-Yong Shin , Jeongwhan Choi , Noseong Park , Dongha Lee

Classical Graph Signal Processing (GSP) provides a robust framework for analyzing signals on irregular domains, utilizing the graph Fourier transform as a cornerstone for spectral analysis and filtering. However, as data structures grow in…

Classical Analysis and ODEs · Mathematics 2026-03-02 Antonio Caputo

Geometric graphs are a special kind of graph with geometric features, which are vital to model many scientific problems. Unlike generic graphs, geometric graphs often exhibit physical symmetries of translations, rotations, and reflections,…

Graph Neural Networks (GNNs) have shown considerable effectiveness in a variety of graph learning tasks, particularly those based on the message-passing approach in recent years. However, their performance is often constrained by a limited…

Machine Learning · Computer Science 2024-04-22 Ruizhe Zhang , Xinke Jiang , Yuchen Fang , Jiayuan Luo , Yongxin Xu , Yichen Zhu , Xu Chu , Junfeng Zhao , Yasha Wang

With recent advancements in non-invasive techniques for measuring brain activity, such as magnetic resonance imaging (MRI), the study of structural and functional brain networks through graph signal processing (GSP) has gained notable…

Machine Learning · Computer Science 2025-11-13 Martín Schmidt , Sara Silva , Federico Larroca , Gonzalo Mateos , Pablo Musé

Developing methods to process irregularly structured data is crucial in applications like gene-regulatory, brain, power, and socioeconomic networks. Graphs have been the go-to algebraic tool for modeling the structure via nodes and edges…

Signal Processing · Electrical Eng. & Systems 2025-02-17 Elvin Isufi , Geert Leus , Baltasar Beferull-Lozano , Sergio Barbarossa , Paolo Di Lorenzo
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