A survey on information geometry: statistical manifolds and statistical models

This survey presents an exposition of the foundational concepts of information geometry from a probabilistic viewpoint, as well as recent developments in differential geometry related to this área of information science. We conclude with a non-exhaustive but motivating list of applications of the theory in probability.

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Journal
Revista de la Academia Colombiana de Ciencias Exactas Físicas y Naturales
Published
2025-10-09
DOI
https://doi.org/10.18257/raccefyn.3260
Primary Topic
Neural Networks and Applications
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article
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article

A survey on information geometry: statistical manifolds and statistical models

Nicolás Martínez Alba, Olga Garatejo-Escobar
Revista de la Academia Colombiana de Ciencias Exactas Físicas y Naturales
Neural Networks and Applications
article

A survey on information geometry: statistical manifolds and statistical models

Nicolás Martínez Alba, Olga Garatejo-Escobar
article en

Abstract

This survey presents an exposition of the foundational concepts of information geometry from a probabilistic viewpoint, as well as recent developments in differential geometry related to this área of information science. We conclude with a non-exhaustive but motivating list of applications of the theory in probability.

Revista de la Academia Colombiana de Ciencias Exactas Físicas y NaturalesVol. 49(193)
Universidad Distrital Francisco José de Caldas (CO), Universidad Nacional de Colombia (CO)
Openalex Percentile: Top 85%
Neural Networks and Applications
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