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Graph Signal Processing (GSP) is a promising framework to analyze multi-dimensional neuroimaging datasets, while taking into account both the spatial and functional dependencies between brain signals. In the present work, we apply…

Computer Vision and Pattern Recognition · Computer Science 2017-08-29 Mathilde Ménoret , Nicolas Farrugia , Bastien Pasdeloup , Vincent Gripon

The effective representation, processing, analysis, and visualization of large-scale structured data, especially those related to complex domains such as networks and graphs, are one of the key questions in modern machine learning. Graph…

Machine Learning · Computer Science 2020-12-02 Xiaowen Dong , Dorina Thanou , Laura Toni , Michael Bronstein , Pascal Frossard

Exploring the complex structure of the human brain is crucial for understanding its functionality and diagnosing brain disorders. Thanks to advancements in neuroimaging technology, a novel approach has emerged that involves modeling the…

Machine Learning · Computer Science 2024-06-06 Xuexiong Luo , Jia Wu , Jian Yang , Shan Xue , Amin Beheshti , Quan Z. Sheng , David McAlpine , Paul Sowman , Alexis Giral , Philip S. Yu

Graph signal processing (GSP) generalizes signal processing (SP) tasks to signals living on non-Euclidean domains whose structure can be captured by a weighted graph. Graphs are versatile, able to model irregular interactions, easy to…

Signal Processing · Electrical Eng. & Systems 2023-06-21 Geert Leus , Antonio G. Marques , José M. F. Moura , Antonio Ortega , David I Shuman

Multivariate signals, which are measured simultaneously over time and acquired by sensor networks, are becoming increasingly common. The emerging field of graph signal processing (GSP) promises to analyse spectral characteristics of these…

Signal Processing · Electrical Eng. & Systems 2025-01-10 Stephan Goerttler , Fei He , Min Wu

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

Graph signal processing (GSP) is a framework to analyze and process graph-structured data. Many research works focus on developing tools such as Graph Fourier transforms (GFT), filters, and neural network models to handle graph signals.…

Signal Processing · Electrical Eng. & Systems 2023-03-13 Feng Ji , Wee Peng Tay

Recent advent of graph signal processing (GSP) has spurred intensive studies of signals that live naturally on irregular data kernels described by graphs (e.g., social networks, wireless sensor networks). Though a digital image contains…

Image and Video Processing · Electrical Eng. & Systems 2018-01-17 Gene Cheung , Enrico Magli , Yuichi Tanaka , Michael Ng

Research in Graph Signal Processing (GSP) aims to develop tools for processing data defined on irregular graph domains. In this paper we first provide an overview of core ideas in GSP and their connection to conventional digital signal…

Signal Processing · Electrical Eng. & Systems 2018-03-28 Antonio Ortega , Pascal Frossard , Jelena Kovačević , José M. F. Moura , Pierre Vandergheynst

This tutorial paper refers to the use of graph-theoretic concepts for analyzing brain signals. For didactic purposes it splits into two parts: theory and application. In the first part, we commence by introducing some basic elements from…

Neurons and Cognition · Quantitative Biology 2020-07-14 Nikolaos Laskaris , Dimitrios A. Adamos , Anastasios Bezerianos

Noninvasive medical neuroimaging has yielded many discoveries about the brain connectivity. Several substantial techniques mapping morphological, structural and functional brain connectivities were developed to create a comprehensive road…

Machine Learning · Computer Science 2022-09-30 Alaa Bessadok , Mohamed Ali Mahjoub , Islem Rekik

As irregularly structured data representations, graphs have received a large amount of attention in recent years and have been widely applied to various real-world scenarios such as social, traffic, and energy settings. Compared to…

Signal Processing · Electrical Eng. & Systems 2026-03-12 Yi Yan , Jiacheng Hou , Zhenjie Song , Ercan Engin Kuruoglu

Over the past two decades, tools from network science have been leveraged to characterize the organization of both structural and functional networks of the brain. One such measure of network organization is hub node identification. Hubs…

Social and Information Networks · Computer Science 2025-09-05 Meiby Ortiz-Bouza , Duc Vu , Abdullah Karaaslanli , Selin Aviyente

We propose a fully spectral, neuro\-symbolic reasoning architecture that leverages Graph Signal Processing (GSP) as the primary computational backbone for integrating symbolic logic and neural inference. Unlike conventional reasoning models…

Artificial Intelligence · Computer Science 2025-08-22 Andrew Kiruluta

Complex networks lend themselves to the modeling of multidimensional data, such as relational and/or temporal data. In particular, when such complex data and their inherent relationships need to be formalized, complex network modeling and…

Machine Learning · Computer Science 2021-05-13 Stefan Bloemheuvel , Jurgen van den Hoogen , Martin Atzmueller

Graph Signal Processing (GSP) extends classical signal processing to signals defined on graphs, enabling filtering, spectral analysis, and sampling of data generated by networks of various kinds. Graphon Signal Processing (GnSP) develops…

Signal Processing · Electrical Eng. & Systems 2026-04-30 Takuma Sumi , Georgi S. Medvedev

Many modern datasets are large and carry complex structural relationships. Graph-based methods have traditionally been used to represent networked data, modeling individual elements as nodes and pairwise interactions as edges. Furthermore,…

Signal Processing · Electrical Eng. & Systems 2026-05-25 Flavia Petruso , Maria Giulia Preti , Dimitri Van De Ville

Graph signal processing (GSP) is an emerging field developed for analyzing signals defined on irregular spatial structures modeled as graphs. Given the considerable literature regarding the resilience of infrastructure networks using graph…

Signal Processing · Electrical Eng. & Systems 2020-07-22 Kevin Schultz , Marisel Villafane-Delgado , Elizabeth P. Reilly , Grace M. Hwang , Anshu Saksena

The emerging field of graph signal processing (GSP) allows to transpose classical signal processing operations (e.g., filtering) to signals on graphs. The GSP framework is generally built upon the graph Laplacian, which plays a crucial role…

Signal Processing · Electrical Eng. & Systems 2020-08-25 Miljan Petrovic , Raphael Liegeois , Thomas A. W. Bolton , Dimitri Van De Ville

Geometric data acquired from real-world scenes, e.g., 2D depth images, 3D point clouds, and 4D dynamic point clouds, have found a wide range of applications including immersive telepresence, autonomous driving, surveillance, etc. Due to…

Computer Vision and Pattern Recognition · Computer Science 2021-09-07 Wei Hu , Jiahao Pang , Xianming Liu , Dong Tian , Chia-Wen Lin , Anthony Vetro
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