Title
Modelling Graph Errors: Towards Robust Graph Signal Processing.
Abstract
The first step for any graph signal processing (GSP) procedure is to learn the graph signal representation, i.e., to capture the dependence structure of the data into an adjacency matrix. Indeed, the adjacency matrix is typically not known a priori and has to be learned. However, it is learned with errors. A little, if any, attention has been paid to modeling such errors in the adjacency matrix, and studying their effects on GSP methods. However, modeling errors in adjacency matrix will enable both to study the graph error effects in GSP and to develop robust GSP algorithms. In this paper, we therefore introduce practically justifiable graph error models. We also study, both analytically and in terms of simulations, the graph error effect on the performance of GSP methods based on the examples of more traditional different types of filtering of graph signals and less known independent component analysis (ICA) of graph signals (graph decorrelation).
Year
Venue
DocType
2019
arXiv: Information Theory
Journal
Volume
Citations 
PageRank 
abs/1903.08398
0
0.34
References 
Authors
0
3
Name
Order
Citations
PageRank
Jari Miettinen132.86
sergiy a vorobyov21563113.46
Esa Ollila335133.51