Title
Computing the Partial Correlation of ICA Models for Non-Gaussian Graph Signal Processing.
Abstract
Conventional partial correlation coefficients (PCC) were extended to the non-Gaussian case, in particular to independent component analysis (ICA) models of the observed multivariate samples. Thus, the usual methods that define the pairwise connections of a graph from the precision matrix were correspondingly extended. The basic concept involved replacing the implicit linear estimation of conventional PCC with a nonlinear estimation (conditional mean) assuming ICA. Thus, it is better eliminated the correlation between a given pair of nodes induced by the rest of nodes, and hence the specific connectivity weights can be better estimated. Some synthetic and real data examples illustrate the approach in a graph signal processing context.
Year
DOI
Venue
2019
10.3390/e21010022
ENTROPY
Keywords
Field
DocType
partial correlation,independent component analysis,graph signal processing
Pairwise comparison,Mathematical optimization,Partial correlation,Nonlinear system,Matrix (mathematics),Conditional expectation,Algorithm,Correlation,Gaussian,Independent component analysis,Mathematics
Journal
Volume
Issue
ISSN
21
1
1099-4300
Citations 
PageRank 
References 
0
0.34
16
Authors
4
Name
Order
Citations
PageRank
Jordi Belda121.78
L. Vergara26818.45
Gonzalo Safont35412.55
Addisson Salazar412123.46