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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…

信号处理 · 电气工程与系统科学 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.…

信号处理 · 电气工程与系统科学 2023-03-13 Feng Ji , Wee Peng Tay

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…

信号处理 · 电气工程与系统科学 2018-03-28 Antonio Ortega , Pascal Frossard , Jelena Kovačević , José M. F. Moura , Pierre Vandergheynst

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…

图像与视频处理 · 电气工程与系统科学 2018-01-17 Gene Cheung , Enrico Magli , Yuichi Tanaka , Michael Ng

Graph signal processing (GSP) is an effective tool in dealing with data residing in irregular domains. In GSP, the optimal graph filter is one of the essential techniques, owing to its ability to recover the original signal from the…

信号处理 · 电气工程与系统科学 2022-01-13 Zirui Ge , Haiyan Guo , Tingting Wang , Zhen Yang

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…

信号处理 · 电气工程与系统科学 2025-01-10 Stephan Goerttler , Fei He , Min Wu

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…

信号处理 · 电气工程与系统科学 2020-07-22 Kevin Schultz , Marisel Villafane-Delgado , Elizabeth P. Reilly , Grace M. Hwang , Anshu Saksena

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…

信号处理 · 电气工程与系统科学 2026-04-30 Takuma Sumi , Georgi S. Medvedev

Smart grids are large and complex cyber physical infrastructures that require real-time monitoring for ensuring the security and reliability of the system. Monitoring the smart grid involves analyzing continuous data-stream from various…

信号处理 · 电气工程与系统科学 2020-06-12 Md Abul Hasnat , Mahshid Rahnamay-Naeini

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…

信号处理 · 电气工程与系统科学 2024-10-28 Lital Dabush , Tirza Routtenberg

The underlying theme of this paper is to explore the various facets of power systems data through the lens of graph signal processing (GSP), laying down the foundations of the Grid-GSP framework. Grid-GSP provides an interpretation for the…

信号处理 · 电气工程与系统科学 2021-06-09 Raksha Ramakrishna , Anna Scaglione

The focus of Part I of this monograph has been on both the fundamental properties, graph topologies, and spectral representations of graphs. Part II embarks on these concepts to address the algorithmic and practical issues centered round…

Graph signal processing (GSP) leverages the inherent signal structure within graphs to extract high-dimensional data without relying on translation invariance. It has emerged as a crucial tool across multiple fields, including learning and…

综合数学 · 数学 2025-02-21 Yu Zhang , Bing-Zhao Li

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…

机器学习 · 计算机科学 2020-12-02 Xiaowen Dong , Dorina Thanou , Laura Toni , Michael Bronstein , Pascal Frossard

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…

计算机视觉与模式识别 · 计算机科学 2021-09-07 Wei Hu , Jiahao Pang , Xianming Liu , Dong Tian , Chia-Wen Lin , Anthony Vetro

This paper provides a new strategy for the Heterogeneous Change Detection (HCD) problem: solving HCD from the perspective of Graph Signal Processing (GSP). We construct a graph for each image to capture the structure information, and treat…

计算机视觉与模式识别 · 计算机科学 2022-08-09 Yuli Sun , Lin Lei , Dongdong Guan , Gangyao Kuang , Li Liu

In graph neural networks (GNNs), both node features and labels are examples of graph signals, a key notion in graph signal processing (GSP). While it is common in GSP to impose signal smoothness constraints in learning and estimation tasks,…

信号处理 · 电气工程与系统科学 2023-04-10 Feng Ji , See Hian Lee , Kai Zhao , Wee Peng Tay , Jielong Yang

We introduce a novel framework for graph signal processing (GSP) that models signals as graph distribution-valued signals (GDSs), which are probability distributions in the Wasserstein space. This approach overcomes key limitations of…

机器学习 · 统计学 2026-03-25 Yanan Zhao , Feng Ji , Xingchao Jian , Wee Peng Tay

Graph signal processing (GSP) studies graph-structured data, where the central concept is the vector space of graph signals. To study a vector space, we have many useful tools up our sleeves. However, uncertainty is omnipresent in practice,…

信号处理 · 电气工程与系统科学 2023-02-23 Feng Ji , Xingchao Jian , Wee Peng Tay

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,…

信号处理 · 电气工程与系统科学 2019-12-17 John Shi , Jose M. F. Moura
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