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Basic operations in graph signal processing consist in processing signals indexed on graphs either by filtering them, to extract specific part out of them, or by changing their domain of representation, using some transformation or…

Signal Processing · Electrical Eng. & Systems 2017-11-07 Nicolas Tremblay , Paulo Gonçalves , Pierre Borgnat

Graphlet counting is an important problem as it has numerous applications in several fields, including social network analysis, biological network analysis, transaction network analysis, etc. Most of the practical networks are dynamic. A…

Data Structures and Algorithms · Computer Science 2023-08-29 Hriday G , Pranav Saikiran Sista , Apurba Das

Graph signal processing analyzes signals supported on the nodes of a graph by defining the shift operator in terms of a matrix, such as the graph adjacency matrix or Laplacian matrix, related to the structure of the graph. With respect to…

Signal Processing · Electrical Eng. & Systems 2018-03-01 Stephen Kruzick , José M. F. Moura

In complex systems, information propagation can be defined as diffused or delocalized, weakly localized, and strongly localized. This study investigates the application of graph neural network models to learn the behavior of a linear…

Machine Learning · Computer Science 2025-09-09 Priodyuti Pradhan , Amit Reza

Real-world graphs, such as social networks, financial transactions, and recommendation systems, often demonstrate dynamic behavior. This phenomenon, known as graph stream, involves the dynamic changes of nodes and the emergence and…

Machine Learning · Computer Science 2023-05-16 Yanping Zheng , Zhewei Wei , Jiajun Liu

Graphs are now ubiquitous in almost every field of research. Recently, new research areas devoted to the analysis of graphs and data associated to their vertices have emerged. Focusing on dynamical processes, we propose a fast, robust and…

Social and Information Networks · Computer Science 2016-02-02 Kirell Benzi , Benjamin Ricaud , Pierre Vandergheynst

Graphs may be used to represent many different problem domains -- a concrete example is that of detecting communities in social networks, which are represented as graphs. With big data and more sophisticated applications becoming widespread…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-04-03 Miguel E. Coimbra , Alexandre P. Francisco , Luis Veiga

Networks are fundamental to the study of complex systems, ranging from social contacts, message transactions, to biological regulations and economical networks. In many realistic applications, these networks may vary over time. Modeling and…

Social and Information Networks · Computer Science 2020-04-07 Kun Tu , Jian Li , Don Towsley , Dave Braines , Liam Turner

Graph representation learning has become a hot research topic due to its powerful nonlinear fitting capability in extracting representative node embeddings. However, for sequential data such as speech signals, most traditional methods…

Sound · Computer Science 2024-05-08 Yingxue Gao , Huan Zhao , Zixing Zhang

We present a framework for representing and modeling data on graphs. Based on this framework, we study three typical classes of graph signals: smooth graph signals, piecewise-constant graph signals, and piecewise-smooth graph signals. For…

Artificial Intelligence · Computer Science 2015-12-18 Siheng Chen , Rohan Varma , Aarti Singh , Jelena Kovačević

Spectral Graph Convolutional Networks (spectral GCNNs), a powerful tool for analyzing and processing graph data, typically apply frequency filtering via Fourier transform to obtain representations with selective information. Although…

Machine Learning · Computer Science 2023-05-04 Lequan Lin , Junbin Gao

Time-varying graph signals are alternative representation of multivariate (or multichannel) signals in which a single time-series is associated with each of the nodes or vertex of a graph. Aided by the graph-theoretic tools, time-varying…

Signal Processing · Electrical Eng. & Systems 2023-01-10 Naveed ur Rehman

The central nervous system is composed of many individual units -- from cells to areas -- that are connected with one another in a complex pattern of functional interactions that supports perception, action, and cognition. One natural and…

Neurons and Cognition · Quantitative Biology 2017-04-03 Ann E. Sizemore , Danielle S. Bassett

Graph filters are one of the core tools in graph signal processing. A central aspect of them is their direct distributed implementation. However, the filtering performance is often traded with distributed communication and computational…

Signal Processing · Electrical Eng. & Systems 2019-05-01 Mario Coutino , Elvin Isufi , Geert Leus

The modeling of time-varying graph signals as stationary time-vertex stochastic processes permits the inference of missing signal values by efficiently employing the correlation patterns of the process across different graph nodes and time…

Machine Learning · Statistics 2023-10-16 Eylem Tugce Guneyi , Berkay Yaldiz , Abdullah Canbolat , Elif Vural

We consider the problem of controlling a partially-observed dynamic process on a graph by a limited number of interventions. This problem naturally arises in contexts such as scheduling virus tests to curb an epidemic; targeted marketing in…

Machine Learning · Computer Science 2021-07-12 Eli A. Meirom , Haggai Maron , Shie Mannor , Gal Chechik

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

We tackle the problem of forecasting network-signal snapshots using past signal measurements acquired by a subset of network nodes. This task can be seen as a combination of multivariate time-series prediction and graph-signal…

Signal Processing · Electrical Eng. & Systems 2020-06-03 Gabriela Lewenfus , Wallace Alves Martins , Symeon Chatzinotas , Björn Ottersten

This paper proposes a graph-based approach to representing spatio-temporal trajectory data that allows an effective visualization and characterization of city-wide traffic dynamics. With the advance of sensor, mobile, and Internet of Things…

Machine Learning · Computer Science 2022-12-07 Jiwon Kim , Kai Zheng , Jonathan Corcoran , Sanghyung Ahn , Marty Papamanolis

The study of time-varying (dynamic) networks (graphs) is of fundamental importance for computer network analytics. Several methods have been proposed to detect the effect of significant structural changes in a time series of graphs. The…

Social and Information Networks · Computer Science 2017-07-25 Peter Wills , Francois G. Meyer