Fisher information geometry of the barycenter map

Fisher information geometry of the barycenter map

We report Fisher information geometry of the barycenter map associated with Busemann function Bθ of an Hadamard manifold X and present its application to Riemannian geometry of X from viewpoint of Fisher information geometry. This report is an improvement of [I-Sat’13] together with a fine investiga...

Ausführliche Beschreibung

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Bibliographische Detailangaben
Hauptverfasser: Itoh Mitsuhiro, Satoh Hiroyasu
Format: Tagungsbericht
Sprache:eng
Schlagworte:
Center of gravity
Fisher information
Geometry
Markov analysis
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Beschreibung
Zusammenfassung:We report Fisher information geometry of the barycenter map associated with Busemann function Bθ of an Hadamard manifold X and present its application to Riemannian geometry of X from viewpoint of Fisher information geometry. This report is an improvement of [I-Sat’13] together with a fine investigation of the barycenter map.
ISSN:0094-243X
1551-7616
DOI:10.1063/1.4905967