Sampling signals on graphs: From theory to applications

Y Tanaka, YC Eldar, A Ortega… - IEEE Signal Processing …, 2020 - ieeexplore.ieee.org
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 …

Data analytics on graphs part III: Machine learning on graphs, from graph topology to applications

L Stanković, D Mandic, M Daković… - … and Trends® in …, 2020 - nowpublishers.com
Modern data analytics applications on graphs often operate on domains where graph
topology is not known a priori, and hence its determination becomes part of the problem …

Graph fractional Fourier transform: A unified theory

T Alikaşifoğlu, B Kartal, A Koç - IEEE Transactions on Signal …, 2024 - ieeexplore.ieee.org
The fractional Fourier transform (FRFT) parametrically generalizes the Fourier transform (FT)
by a transform order, representing signals in intermediate time-frequency domains. The …

Generalized sampling of graph signals with the prior information based on graph fractional Fourier transform

D Wei, Z Yan - Signal Processing, 2024 - Elsevier
The graph fractional Fourier transform (GFRFT) has been applied to graph signal processing
and has become an important tool in graph signal processing. However, most of the graph …

Bayesian estimation of graph signals

A Kroizer, T Routtenberg… - IEEE transactions on signal …, 2022 - ieeexplore.ieee.org
We consider the problem of recovering random graph signals from nonlinear
measurements. For this setting, closed-form Bayesian estimators are usually intractable and …

Graph signal compression by joint quantization and sampling

P Li, N Shlezinger, H Zhang, B Wang… - IEEE transactions on …, 2022 - ieeexplore.ieee.org
Graph signals arise in various applications, ranging from sensor networks to social media
data. The high-dimensional nature of these signals implies that they often need to be …

Graph signal processing: Dualizing GSP sampling in the vertex and spectral domains

J Shi, JMF Moura - IEEE Transactions on Signal Processing, 2022 - ieeexplore.ieee.org
Vertex based and spectral based GSP sampling has been studied recently. The literature
recognizes that methods in one domain do not have a counterpart in the other domain. This …

Distributed nonlinear polynomial graph filter and its output graph spectrum: Filter analysis and design

Z Xiao, H Fang, X Wang - IEEE Transactions on Signal …, 2021 - ieeexplore.ieee.org
While frequency-domain algorithms have been demonstrated to be powerful for
conventional nonlinear signal processing, there is still not much progress in literature …

Generalized sampling of multi-dimensional graph signals based on prior information

D Wei, Z Yan - Signal Processing, 2024 - Elsevier
The prevalence of multi-dimensional (mD) graph signals in various real-world applications,
such as digital images and data with spatial and temporal dimensions, highlights their …

Modeling and recovery of graph signals and difference-based signals

A Kroizer, YC Eldar… - 2019 IEEE Global …, 2019 - ieeexplore.ieee.org
In this paper, we consider the problem of representing and recovering graph signals with a
nonlinear measurement model. We propose a two-stage graph signal processing (GSP) …