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 illustrate...
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| Format: | Article |
| Language: | English |
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MDPI AG
2018-09-01
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| Series: | Entropy |
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| Online Access: | http://www.mdpi.com/1099-4300/20/10/722 |
| _version_ | 1828371154326257664 |
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| author | Rabha W. Ibrahim Maslina Darus |
| author_facet | Rabha W. Ibrahim Maslina Darus |
| author_sort | Rabha W. Ibrahim |
| collection | DOAJ |
| 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. |
| first_indexed | 2024-04-14T06:46:55Z |
| format | Article |
| id | doaj.art-bd06d46d20f346399f2a0d4226e58592 |
| institution | Directory Open Access Journal |
| issn | 1099-4300 |
| language | English |
| last_indexed | 2024-04-14T06:46:55Z |
| publishDate | 2018-09-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Entropy |
| spelling | doaj.art-bd06d46d20f346399f2a0d4226e585922022-12-22T02:07:08ZengMDPI AGEntropy1099-43002018-09-01201072210.3390/e20100722e20100722Analytic Study of Complex Fractional Tsallis’ Entropy with Applications in CNNsRabha W. Ibrahim0Maslina Darus1Faculty of Computer Science and Information Technology, University of Malaya, Kuala Lumpur 50603, MalaysiaSchool of Mathematical Sciences, Faculty of Sciences and Technology, Universiti Kebangsaan Malaysia, Bangi 43600, Selangor, MalaysiaIn 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.http://www.mdpi.com/1099-4300/20/10/722fractional calculusfractional operatorfractional entropyCNNsanalytic functionunit disk |
| spellingShingle | Rabha W. Ibrahim Maslina Darus Analytic Study of Complex Fractional Tsallis’ Entropy with Applications in CNNs Entropy fractional calculus fractional operator fractional entropy CNNs analytic function unit disk |
| 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 | fractional calculus fractional operator fractional entropy CNNs analytic function unit disk |
| url | http://www.mdpi.com/1099-4300/20/10/722 |
| work_keys_str_mv | AT rabhawibrahim analyticstudyofcomplexfractionaltsallisentropywithapplicationsincnns AT maslinadarus analyticstudyofcomplexfractionaltsallisentropywithapplicationsincnns |