Jensen–Inaccuracy Information Measure

The purpose of the paper is to introduce the Jensen–inaccuracy measure and examine its properties. Furthermore, some results on the connections between the inaccuracy and Jensen–inaccuracy measures and some other well-known information measures are provided. Moreover, in three different optimization...

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Autores principales: Kharazmi, Omid, Shirazinia, Faezeh, Buono, Francesco, Longobardi, Maria
Formato: Online Artículo Texto
Lenguaje:English
Publicado: MDPI 2023
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10048123/
https://www.ncbi.nlm.nih.gov/pubmed/36981370
http://dx.doi.org/10.3390/e25030483
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author Kharazmi, Omid
Shirazinia, Faezeh
Buono, Francesco
Longobardi, Maria
author_facet Kharazmi, Omid
Shirazinia, Faezeh
Buono, Francesco
Longobardi, Maria
author_sort Kharazmi, Omid
collection PubMed
description The purpose of the paper is to introduce the Jensen–inaccuracy measure and examine its properties. Furthermore, some results on the connections between the inaccuracy and Jensen–inaccuracy measures and some other well-known information measures are provided. Moreover, in three different optimization problems, the arithmetic mixture distribution provides optimal information based on the inaccuracy information measure. Finally, two real examples from image processing are studied and some numerical results in terms of the inaccuracy and Jensen–inaccuracy information measures are obtained.
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spelling pubmed-100481232023-03-29 Jensen–Inaccuracy Information Measure Kharazmi, Omid Shirazinia, Faezeh Buono, Francesco Longobardi, Maria Entropy (Basel) Article The purpose of the paper is to introduce the Jensen–inaccuracy measure and examine its properties. Furthermore, some results on the connections between the inaccuracy and Jensen–inaccuracy measures and some other well-known information measures are provided. Moreover, in three different optimization problems, the arithmetic mixture distribution provides optimal information based on the inaccuracy information measure. Finally, two real examples from image processing are studied and some numerical results in terms of the inaccuracy and Jensen–inaccuracy information measures are obtained. MDPI 2023-03-10 /pmc/articles/PMC10048123/ /pubmed/36981370 http://dx.doi.org/10.3390/e25030483 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
Kharazmi, Omid
Shirazinia, Faezeh
Buono, Francesco
Longobardi, Maria
Jensen–Inaccuracy Information Measure
title Jensen–Inaccuracy Information Measure
title_full Jensen–Inaccuracy Information Measure
title_fullStr Jensen–Inaccuracy Information Measure
title_full_unstemmed Jensen–Inaccuracy Information Measure
title_short Jensen–Inaccuracy Information Measure
title_sort jensen–inaccuracy information measure
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10048123/
https://www.ncbi.nlm.nih.gov/pubmed/36981370
http://dx.doi.org/10.3390/e25030483
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