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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

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

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

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

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

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

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

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

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 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

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

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

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

This is the second part of the paper that provides a new strategy for the heterogeneous change detection (HCD) problem, that is, solving HCD from the perspective of graph signal processing (GSP). We construct a graph to represent the…

Computer Vision and Pattern Recognition · Computer Science 2022-08-09 Yuli Sun , Lin Lei , Dongdong Guan , Gangyao Kuang , Li Liu

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 signals are widely used to describe vertex attributes or features in graph-structured data, with applications spanning the internet, social media, transportation, sensor networks, and biomedicine. Graph signal processing (GSP) has…

Signal Processing · Electrical Eng. & Systems 2025-05-22 Yu Zhang , Linyu Peng , Bing-Zhao Li

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

In social settings, individuals interact through webs of relationships. Each individual is a node in a complex network (or graph) of interdependencies and generates data, lots of data. We label the data by its source, or formally stated, we…

Social and Information Networks · Computer Science 2013-03-25 Aliaksei Sandryhaila , Jose M. F. Moura

Graph signal processing (GSP) deals with the representation, analysis, and processing of structured data, i.e. graph signals that are defined on the vertex set of a generic graph. A crucial prerequisite for applying various GSP and graph…

Signal Processing · Electrical Eng. & Systems 2024-10-28 Lital Dabush , Tirza Routtenberg

Network topology inference is a prominent problem in Network Science. Most graph signal processing (GSP) efforts to date assume that the underlying network is known, and then analyze how the graph's algebraic and spectral characteristics…

Signal Processing · Electrical Eng. & Systems 2019-05-22 Gonzalo Mateos , Santiago Segarra , Antonio G. Marques , Alejandro Ribeiro
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