Graph signal processing: Overview, challenges, and applications

A Ortega, P Frossard, J Kovačević… - Proceedings of the …, 2018 - ieeexplore.ieee.org
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 …

Graph signal processing for machine learning: A review and new perspectives

X Dong, D Thanou, L Toni, M Bronstein… - IEEE Signal …, 2020 - ieeexplore.ieee.org
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 …

Graph learning: A survey

F **a, K Sun, S Yu, A Aziz, L Wan… - IEEE Transactions on …, 2021 - ieeexplore.ieee.org
Graphs are widely used as a popular representation of the network structure of connected
data. Graph data can be found in a broad spectrum of application domains such as social …

Connecting the dots: Identifying network structure via graph signal processing

G Mateos, S Segarra, AG Marques… - IEEE Signal Processing …, 2019 - ieeexplore.ieee.org
Network topology inference is a significant problem in network science. Most graph signal
processing (GSP) efforts to date assume that the underlying network is known and then …

Learning graphs from data: A signal representation perspective

X Dong, D Thanou, M Rabbat… - IEEE Signal Processing …, 2019 - ieeexplore.ieee.org
The construction of a meaningful graph topology plays a crucial role in the effective
representation, processing, analysis, and visualization of structured data. When a natural …

[HTML][HTML] Signal processing on higher-order networks: Livin'on the edge... and beyond

MT Schaub, Y Zhu, JB Seby, TM Roddenberry… - Signal Processing, 2021 - Elsevier
In this tutorial, we provide a didactic treatment of the emerging topic of signal processing on
higher-order networks. Drawing analogies from discrete and graph signal processing, we …

Graph learning from data under Laplacian and structural constraints

HE Egilmez, E Pavez, A Ortega - IEEE Journal of Selected …, 2017 - ieeexplore.ieee.org
Graphs are fundamental mathematical structures used in various fields to represent data,
signals, and processes. In this paper, we propose a novel framework for learning/estimating …

Stability properties of graph neural networks

F Gama, J Bruna, A Ribeiro - IEEE Transactions on Signal …, 2020 - ieeexplore.ieee.org
Graph neural networks (GNNs) have emerged as a powerful tool for nonlinear processing of
graph signals, exhibiting success in recommender systems, power outage prediction, and …

Optimal graph-filter design and applications to distributed linear network operators

S Segarra, AG Marques… - IEEE Transactions on …, 2017 - ieeexplore.ieee.org
We study the optimal design of graph filters (GFs) to implement arbitrary linear
transformations between graph signals. GFs can be represented by matrix polynomials of …

Graph filters for signal processing and machine learning on graphs

E Isufi, F Gama, DI Shuman… - IEEE Transactions on …, 2024 - ieeexplore.ieee.org
Filters are fundamental in extracting information from data. For time series and image data
that reside on Euclidean domains, filters are the crux of many signal processing and …