Affine Differential Geometric Control Tools for Statistical Manifolds

Affine Differential Geometric Control Tools for Statistical Manifolds

The paper generalizes and extends the notions of dual connections and of statistical manifold, with and without torsion. Links with the deformation algebras and with the Riemannian Rinehart algebras are established. The semi-Riemannian manifolds admitting flat dual connections with torsion are chara...

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Bibliographic Details
Main Authors: Iulia-Elena Hirica, Cristina-Liliana Pripoae, Gabriel-Teodor Pripoae, Vasile Preda
Format: Article
Language:English
Published: MDPI AG 2021-07-01
Series:Mathematics
Subjects:
statistical manifold
dual connections
Fisher metric
Gibbs entropy
invariant connections on Lie groups
Information Geometry
Online Access:https://www.mdpi.com/2227-7390/9/14/1654

Internet

https://www.mdpi.com/2227-7390/9/14/1654

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