Kaniadakis’s Information Geometry of Compositional Data

We propose to use a particular case of Kaniadakis’ logarithm for the exploratory analysis of compositional data following the Aitchison approach. The affine information geometry derived from Kaniadakis’ logarithm provides a consistent setup for the geometric analysis of compositional data. Moreover,...

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Detalles Bibliográficos
Autores principales: Pistone, Giovanni, Shoaib, Muhammad
Formato: Online Artículo Texto
Lenguaje:English
Publicado: MDPI 2023
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10378480/
https://www.ncbi.nlm.nih.gov/pubmed/37510054
http://dx.doi.org/10.3390/e25071107
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author Pistone, Giovanni
Shoaib, Muhammad
author_facet Pistone, Giovanni
Shoaib, Muhammad
author_sort Pistone, Giovanni
collection PubMed
description We propose to use a particular case of Kaniadakis’ logarithm for the exploratory analysis of compositional data following the Aitchison approach. The affine information geometry derived from Kaniadakis’ logarithm provides a consistent setup for the geometric analysis of compositional data. Moreover, the affine setup suggests a rationale for choosing a specific divergence, which we name the Kaniadakis divergence.
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spelling pubmed-103784802023-07-29 Kaniadakis’s Information Geometry of Compositional Data Pistone, Giovanni Shoaib, Muhammad Entropy (Basel) Article We propose to use a particular case of Kaniadakis’ logarithm for the exploratory analysis of compositional data following the Aitchison approach. The affine information geometry derived from Kaniadakis’ logarithm provides a consistent setup for the geometric analysis of compositional data. Moreover, the affine setup suggests a rationale for choosing a specific divergence, which we name the Kaniadakis divergence. MDPI 2023-07-24 /pmc/articles/PMC10378480/ /pubmed/37510054 http://dx.doi.org/10.3390/e25071107 Text en © 2023 by the authors. https://creativecommons.org/licenses/by/4.0/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 (https://creativecommons.org/licenses/by/4.0/).
spellingShingle Article
Pistone, Giovanni
Shoaib, Muhammad
Kaniadakis’s Information Geometry of Compositional Data
title Kaniadakis’s Information Geometry of Compositional Data
title_full Kaniadakis’s Information Geometry of Compositional Data
title_fullStr Kaniadakis’s Information Geometry of Compositional Data
title_full_unstemmed Kaniadakis’s Information Geometry of Compositional Data
title_short Kaniadakis’s Information Geometry of Compositional Data
title_sort kaniadakis’s information geometry of compositional data
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10378480/
https://www.ncbi.nlm.nih.gov/pubmed/37510054
http://dx.doi.org/10.3390/e25071107
work_keys_str_mv AT pistonegiovanni kaniadakissinformationgeometryofcompositionaldata
AT shoaibmuhammad kaniadakissinformationgeometryofcompositionaldata

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