Information geometry of warped product spaces

2022/02/06 by Yasuaki Fujitani, Fujitani, Yasuaki · 1 citation
Computer Science · Medicine · #Clusterin in disease pathology #Differential Geometry (math.DG) #FOS: Mathematics #Rough Sets and Fuzzy Logic #Topological and Geometric Data Analysis

paper · pdf · doi:10.48550/arxiv.2202.02762

openalex publication_date 2022/02/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Information geometry is an important tool to study statistical models. There are some important examples in statistical models which are regarded as warped products. In this paper, we study information geometry of warped products. We consider the case where the warped product and its fiber space are equipped with dually flat connections and, in the particular case of a cone, characterize the connections on the base space ℝ_>0. The resulting connections turn out to be the α-connections with α= ±1.

Cited by

• The moduli spaces of left-invariant statistical structures on Lie groups

Related

• On warped product on information geometry: statistical manifolds and statistical models
• Product of statistical manifolds with a non-diagonal metric
• Geometry of warped products
• Affine connections on singular multiply warped products and singular twisted products
• Information Geometry and Statistical Manifold