Title
Joint Topology Learning and Graph Signal Recovery Using Variational Bayes in Non-Gaussian Noise
Abstract
This brief proposes a joint graph signal recovery and topology learning algorithm using a Variational Bayes (VB) framework in the case of non-Gaussian measurement noise. It is assumed that the graph signal is Gaussian Markov Random Field (GMRF) and the graph weights are considered statistical with the Gaussian prior. Moreover, the non-Gaussian noise is modeled using two distributions: Mixture of Gaussian (MoG), and Laplace. All the unknowns of the problem which are graph signal, Laplacian matrix, and the (Hyper)parameters are estimated by a VB framework. All the posteriors are calculated in closed forms and the iterative VB algorithm is devised to solve the problem. The efficiency of the proposed algorithm in comparison to some state-of-the-art algorithms in the literature is shown in the simulation results.
Year
DOI
Venue
2022
10.1109/TCSII.2021.3109339
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS
Keywords
DocType
Volume
Topology, Laplace equations, Signal processing algorithms, Noise measurement, Symmetric matrices, Heuristic algorithms, Computational modeling, Graph signal recovery, topology learning, Laplacian matrix, variational Bayes, non-Gaussian noise
Journal
69
Issue
ISSN
Citations 
3
1549-7747
0
PageRank 
References 
Authors
0.34
0
3
Name
Order
Citations
PageRank
Razieh Torkamani121.72
Hadi Zayyani200.34
Farokh Marvasti357372.71