Title
On the Geometry of Covariance Matrices.
Abstract
We introduce and compare certain distance measures between covariance matrices. These originate in information theory, quantum mechanics and optimal transport. More specifically, we show that the Bures/Hellinger distance between covariance matrices coincides with the Wasserstein-2 distance between the corresponding Gaussian distributions. We also note that this Bures/Hellinger/Wasserstein distance...
Year
DOI
Venue
2013
10.1109/LSP.2013.2266273
IEEE Signal Processing Letters
Keywords
Field
DocType
Measurement,Covariance matrices,Geometry,Spectral analysis,Approximation methods,Manifolds,Entropy
Mathematical optimization,Covariance function,Estimation of covariance matrices,Hellinger distance,Rational quadratic covariance function,Matrix (mathematics),Law of total covariance,Matérn covariance function,Mathematics,Covariance
Journal
Volume
Issue
ISSN
20
8
1070-9908
Citations 
PageRank 
References 
4
0.42
7
Authors
3
Name
Order
Citations
PageRank
Lipeng Ning112515.11
Xianhua Jiang2556.25
Tryphon T. Georgiou321136.71