An Elementary Introduction to Information Geometry

In this survey, we describe the fundamental differential-geometric structures of information manifolds, state the fundamental theorem of information geometry, and illustrate some use cases of these information manifolds in information sciences. The exposition is self-contained by concisely introduci...

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Detalles Bibliográficos
Autor principal: Nielsen, Frank
Formato: Online Artículo Texto
Lenguaje:English
Publicado: MDPI 2020
Materias:
Review
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7650632/
https://www.ncbi.nlm.nih.gov/pubmed/33286868
http://dx.doi.org/10.3390/e22101100
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author Nielsen, Frank
author_facet Nielsen, Frank
author_sort Nielsen, Frank
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description In this survey, we describe the fundamental differential-geometric structures of information manifolds, state the fundamental theorem of information geometry, and illustrate some use cases of these information manifolds in information sciences. The exposition is self-contained by concisely introducing the necessary concepts of differential geometry. Proofs are omitted for brevity.
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spelling pubmed-76506322021-02-24 An Elementary Introduction to Information Geometry Nielsen, Frank Entropy (Basel) Review In this survey, we describe the fundamental differential-geometric structures of information manifolds, state the fundamental theorem of information geometry, and illustrate some use cases of these information manifolds in information sciences. The exposition is self-contained by concisely introducing the necessary concepts of differential geometry. Proofs are omitted for brevity. MDPI 2020-09-29 /pmc/articles/PMC7650632/ /pubmed/33286868 http://dx.doi.org/10.3390/e22101100 Text en © 2020 by the author. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (http://creativecommons.org/licenses/by/4.0/).
spellingShingle Review
Nielsen, Frank
An Elementary Introduction to Information Geometry
title An Elementary Introduction to Information Geometry
title_full An Elementary Introduction to Information Geometry
title_fullStr An Elementary Introduction to Information Geometry
title_full_unstemmed An Elementary Introduction to Information Geometry
title_short An Elementary Introduction to Information Geometry
title_sort elementary introduction to information geometry
topic Review
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7650632/
https://www.ncbi.nlm.nih.gov/pubmed/33286868
http://dx.doi.org/10.3390/e22101100
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