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

Ibrahim RW 1 , Darus M 2

Affiliations 

  • 1 Faculty of Computer Science and Information Technology, University of Malaya, Kuala Lumpur 50603, Malaysia
  • 2 School of Mathematical Sciences, Faculty of Sciences and Technology, Universiti Kebangsaan Malaysia, Bangi 43600, Selangor, Malaysia
Entropy (Basel), 2018 Sep 20;20(10).
PMID: 33265810 DOI: 10.3390/e20100722

Abstract

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.

* Title and MeSH Headings from MEDLINE®/PubMed®, a database of the U.S. National Library of Medicine.

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