Title
A Joint Markov Model For Communities, Connectivity And Signals Defined Over Graphs
Abstract
Real-world networks are typically described in terms of nodes, links, and communities, having signal values often associated with them. The aim of this letter is to introduce a novel Compound Markov random field model (Compound MRF, or CMRF) for signals defined over graphs, encompassing jointly signal values at nodes, edge weights, and community labels. The proposed CMRF generalizes Markovian models previously proposed in the literature, since it accounts for different kinds of interactions between communities and signal smoothness constraints. Finally, the proposed approach is applied to (joint) graph learning and signal recovery. Numerical results on synthetic and real data illustrate the competitive performance of our method with respect to other state-of-the-art approaches.
Year
DOI
Venue
2020
10.1109/LSP.2020.3005053
IEEE SIGNAL PROCESSING LETTERS
Keywords
DocType
Volume
Graph signal processing, markov random field, graph community, graph learning, graph signal denoising
Journal
27
ISSN
Citations 
PageRank 
1070-9908
0
0.34
References 
Authors
0
5
Name
Order
Citations
PageRank
Stefania Colonnese113726.43
Paolo Di Lorenzo236626.17
Tiziana Cattai342.11
Gaetano Scarano420931.32
Fabrizio de Vico Fallani513320.22