Transversality Conditions for Geodesics on the Statistical Manifold of Multivariate Gaussian Distributions

We consider the problem of finding the closest multivariate Gaussian distribution on a constraint surface of all Gaussian distributions to a given distribution. Previous research regarding geodesics on the multivariate Gaussian manifold has focused on finding closed-form, shortest-path distances bet...

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Bibliographic Details
Main Authors: Trevor Herntier, Adrian M. Peter
Format: Article
Language:English
Published: MDPI AG 2022-11-01
Series:Entropy
Subjects:
Online Access:https://www.mdpi.com/1099-4300/24/11/1698