Analytic Study of Complex Fractional Tsallis’ Entropy with Applications in CNNs

In this paper, we study Tsallis’ fractional entropy (TFE) in a complex domain by applying the definition of the complex probability functions. We study the upper and lower bounds of TFE based on some special functions. Moreover, applications in complex neural networks (CNNs) are illustrated to recog...

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Detalles Bibliográficos
Autores principales: Ibrahim, Rabha W., Darus, Maslina
Formato: Online Artículo Texto
Lenguaje:English
Publicado: MDPI 2018
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7512285/
https://www.ncbi.nlm.nih.gov/pubmed/33265810
http://dx.doi.org/10.3390/e20100722
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author Ibrahim, Rabha W.
Darus, Maslina
author_facet Ibrahim, Rabha W.
Darus, Maslina
author_sort Ibrahim, Rabha W.
collection PubMed
description In this paper, we study Tsallis’ fractional entropy (TFE) in a complex domain by applying the definition of the complex probability functions. We study the upper and lower bounds of TFE based on some special functions. Moreover, applications in complex neural networks (CNNs) are illustrated to recognize the accuracy of CNNs.
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spelling pubmed-75122852020-11-09 Analytic Study of Complex Fractional Tsallis’ Entropy with Applications in CNNs Ibrahim, Rabha W. Darus, Maslina Entropy (Basel) Article In this paper, we study Tsallis’ fractional entropy (TFE) in a complex domain by applying the definition of the complex probability functions. We study the upper and lower bounds of TFE based on some special functions. Moreover, applications in complex neural networks (CNNs) are illustrated to recognize the accuracy of CNNs. MDPI 2018-09-20 /pmc/articles/PMC7512285/ /pubmed/33265810 http://dx.doi.org/10.3390/e20100722 Text en © 2018 by the authors. 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 Article
Ibrahim, Rabha W.
Darus, Maslina
Analytic Study of Complex Fractional Tsallis’ Entropy with Applications in CNNs
title Analytic Study of Complex Fractional Tsallis’ Entropy with Applications in CNNs
title_full Analytic Study of Complex Fractional Tsallis’ Entropy with Applications in CNNs
title_fullStr Analytic Study of Complex Fractional Tsallis’ Entropy with Applications in CNNs
title_full_unstemmed Analytic Study of Complex Fractional Tsallis’ Entropy with Applications in CNNs
title_short Analytic Study of Complex Fractional Tsallis’ Entropy with Applications in CNNs
title_sort analytic study of complex fractional tsallis’ entropy with applications in cnns
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7512285/
https://www.ncbi.nlm.nih.gov/pubmed/33265810
http://dx.doi.org/10.3390/e20100722
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