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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

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

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

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

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

Graph signal processing (GSP) is an important methodology for studying data residing on irregular structures. As acquired data is increasingly taking the form of multi-way tensors, new signal processing tools are needed to maximally utilize…

Signal Processing · Electrical Eng. & Systems 2020-12-02 Jay S. Stanley , Eric C. Chi , Gal Mishne

In applications such as social, energy, transportation, sensor, and neuronal networks, high-dimensional data naturally reside on the vertices of weighted graphs. The emerging field of signal processing on graphs merges algebraic and…

Discrete Mathematics · Computer Science 2015-06-12 David I Shuman , Sunil K. Narang , Pascal Frossard , Antonio Ortega , Pierre Vandergheynst

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

Graph signal processing (GSP) has become an important tool in many areas such as image processing, networking learning and analysis of social network data. In this paper, we propose a broader framework that not only encompasses traditional…

Signal Processing · Electrical Eng. & Systems 2020-01-08 Feng Ji , Wee Peng Tay

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

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

Modern neuroimaging techniques provide us with unique views on brain structure and function; i.e., how the brain is wired, and where and when activity takes place. Data acquired using these techniques can be analyzed in terms of its network…

Image and Video Processing · Electrical Eng. & Systems 2018-01-31 Weiyu Huang , Thomas A. W. Bolton , John D. Medaglia , Danielle S. Bassett , Alejandro Ribeiro , Dimitri Van De Ville

Theoretical development and applications of graph signal processing (GSP) have attracted much attention. In classical GSP, the underlying structures are restricted in terms of dimensionality. A graph is a combinatorial object that models…

Signal Processing · Electrical Eng. & Systems 2020-05-26 Feng Ji , Giacomo Kahn , Wee Peng Tay

Signal processing over graphs has recently attracted significant attentions for dealing with structured data. Normal graphs, however, only model pairwise relationships between nodes and are not effective in representing and capturing some…

Signal Processing · Electrical Eng. & Systems 2020-06-05 Songyang Zhang , Zhi Ding , Shuguang Cui

To analyze data supported by arbitrary graphs G, DSP has been extended to Graph Signal Processing (GSP) by redefining traditional DSP concepts like shift, filtering, and Fourier transform among others. This paper revisits modulation,…

Signal Processing · Electrical Eng. & Systems 2019-12-17 John Shi , Jose M. F. Moura

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

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

Graph signal processing (GSP) has become an important tool in image processing because of its ability to reveal underlying data structures. Many real-life multimedia datasets, however, exhibit heterogeneous structures across frames.…

Signal Processing · Electrical Eng. & Systems 2022-04-20 Songyang Zhang , Qinwen Deng , Zhi Ding

The goal of this paper is to establish the fundamental tools to analyze signals defined over a topological space, i.e. a set of points along with a set of neighborhood relations. This setup does not require the definition of a metric and…

Signal Processing · Electrical Eng. & Systems 2020-10-28 Sergio Barbarossa , Stefania Sardellitti

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
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