Graph unrolling networks: Interpretable neural networks for graph signal denoising

S Chen, YC Eldar, L Zhao - IEEE Transactions on Signal …, 2021 - ieeexplore.ieee.org
We propose an interpretable graph neural network framework to denoise single or multiple
noisy graph signals. The proposed graph unrolling networks expand algorithm unrolling to …

Windowed fractional Fourier transform on graphs: Properties and fast algorithm

FJ Yan, BZ Li - Digital Signal Processing, 2021 - Elsevier
A key challenge in the field of graph signal processing is to design proper transform
methods to extract valuable information from signals on weighted graphs. This paper first …

Graph signal denoising via unrolling networks

S Chen, YC Eldar - ICASSP 2021-2021 IEEE International …, 2021 - ieeexplore.ieee.org
We propose an interpretable graph neural network framework to denoise single or multiple
noisy graph signals. The proposed graph unrolling networks expand algorithm unrolling to …

Gabor-type frames for signal processing on graphs

M Ghandehari, D Guillot, K Hollingsworth - Journal of Fourier Analysis and …, 2021 - Springer
In the past decade, significant progress has been made to generalize classical tools from
Fourier analysis to analyze and process signals defined on networks. In this paper, we …

Spectral graph fractional Fourier transform for directed graphs and its application

FJ Yan, BZ Li - Signal Processing, 2023 - Elsevier
In graph signal processing, the underlying network in many studies is assumed to be
undirected. Although the directed graph model is rarely adopted, it is more appropriate for …

Frames and vertex-frequency representations in graph fractional Fourier domain

L Shang, Z Zhang - arXiv preprint arXiv:2412.20184, 2024 - arxiv.org
Vertex-frequency analysis, particularly the windowed graph Fourier transform (WGFT), is a
significant challenge in graph signal processing. Tight frame theories is known for its low …

[图书][B] Discrete frames for high-dimensional data: constructions on regular and irregular domains

KG Hollingsworth - 2020 - search.proquest.com
The theory of discrete frames was introduced in the 1950s by Duffin and Schaeffer, when
they initiated a systematic study of dictionaries for the efficient and robust representation of …

[图书][B] Learning representations for signal and data processing on directed graphs

R Shafipour - 2020 - search.proquest.com
Network processes are becoming increasingly ubiquitous, with examples ranging from the
measurements of neural activities at different regions of the brain to infectious states of …