Information geometry of the Otto metric

Publikationstyp
Journal Article
Date Issued
2024
Sprache
English
Author(s)
Ay, Nihat  
Data Science Foundations E-21  
TORE-DOI
10.15480/882.13877
TORE-URI
https://hdl.handle.net/11420/52382
Journal
Information geometry  
Citation
Information Geometry (in Press): (2024)
Publisher DOI
10.1007/s41884-024-00149-w
Scopus ID
2-s2.0-85208481431
Publisher
Springer
We introduce the dual of the mixture connection with respect to the Otto metric which represents a new kind of exponential connection. This provides a dual structure consisting of the mixture connection, the Otto metric as a Riemannian metric, and the new exponential connection. We derive the geodesic equation of this exponential connection, which coincides with the Kolmogorov forward equation of a gradient flow. We then derive the canonical contrast function of the introduced dual structure.
Subjects
Canonical contrast function | Dual structure | Exponential connection | Otto metric | Wasserstein geometry
DDC Class
004: Computer Sciences
Publication version
publishedVersion
Lizenz
https://creativecommons.org/licenses/by/4.0/
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