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

Entropy

RabhaW. Ibrahim¹  Maslina Darus² 

[1] Faculty of Computer Science and Information Technology, University of Malaya, Kuala Lumpur 50603, Malaysia;School of Mathematical Sciences, Faculty of Sciences and Technology, Universiti Kebangsaan Malaysia, Bangi 43600, Selangor, Malaysia;

关键词: fractional calculus;    fractional operator;    fractional entropy;    CNNs;    analytic function;    unit disk;   

DOI  :  10.3390/e20100722

来源: DOAJ

【 摘 要 】

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.

【 授权许可】

Unknown