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

Rabha W Ibrahim; Maslina Darus

doi:10.3390/e20100722

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

Entropy (Basel). 2018 Sep 20;20(10):722. doi: 10.3390/e20100722.

Authors

Rabha W Ibrahim¹, Maslina Darus²

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.

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.

Keywords: CNNs; analytic function; fractional calculus; fractional entropy; fractional operator; unit disk.

Grants and funding

GUP-2017-064./UKM