A new class activation functions with application in the theory of impulse technics
In this note we define the new activation functions, based on the well-known hyperbolic tangent and half--hyperbolic tangent activation functions. We consider the Hausdorff distance between the ''double step'' function $\sigma^{\ast}(t)$ (resp. function $\sigma^{\ast \ast}(t)$) a...
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| Format: | Article |
| Language: | English |
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Mahmut Akyigit
2018-05-01
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| Series: | Journal of Mathematical Sciences and Modelling |
| Subjects: | |
| Online Access: | https://dergipark.org.tr/tr/download/article-file/482673 |
| _version_ | 1827377829361221632 |
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| author | Nikolay Kyurkchiev |
| author_facet | Nikolay Kyurkchiev |
| author_sort | Nikolay Kyurkchiev |
| collection | DOAJ |
| description | In this note we define the new activation functions, based on the well-known hyperbolic tangent and half--hyperbolic tangent activation functions. We consider the Hausdorff distance between the ''double step'' function $\sigma^{\ast}(t)$ (resp. function $\sigma^{\ast \ast}(t)$) and the new classes of activation functions. The results have independent significance in the study of issues related to neural networks and impulse techniques. Numerical examples, illustrating our results are presented using programming environment Mathematica. |
| first_indexed | 2024-03-08T12:45:58Z |
| format | Article |
| id | doaj.art-0fffc4668df44bb7b8e849d1c9a03fa4 |
| institution | Directory Open Access Journal |
| issn | 2636-8692 |
| language | English |
| last_indexed | 2024-03-08T12:45:58Z |
| publishDate | 2018-05-01 |
| publisher | Mahmut Akyigit |
| record_format | Article |
| series | Journal of Mathematical Sciences and Modelling |
| spelling | doaj.art-0fffc4668df44bb7b8e849d1c9a03fa42024-01-21T07:26:56ZengMahmut AkyigitJournal of Mathematical Sciences and Modelling2636-86922018-05-0111152010.33187/jmsm.4213921408A new class activation functions with application in the theory of impulse technicsNikolay KyurkchievIn this note we define the new activation functions, based on the well-known hyperbolic tangent and half--hyperbolic tangent activation functions. We consider the Hausdorff distance between the ''double step'' function $\sigma^{\ast}(t)$ (resp. function $\sigma^{\ast \ast}(t)$) and the new classes of activation functions. The results have independent significance in the study of issues related to neural networks and impulse techniques. Numerical examples, illustrating our results are presented using programming environment Mathematica.https://dergipark.org.tr/tr/download/article-file/482673''double step'' function $\sigma^{\ast}(t)$$\sigma^{\ast \ast}(t)$--functionemitting charthausdorff distance |
| spellingShingle | Nikolay Kyurkchiev A new class activation functions with application in the theory of impulse technics Journal of Mathematical Sciences and Modelling ''double step'' function $\sigma^{\ast}(t)$ $\sigma^{\ast \ast}(t)$--function emitting chart hausdorff distance |
| title | A new class activation functions with application in the theory of impulse technics |
| title_full | A new class activation functions with application in the theory of impulse technics |
| title_fullStr | A new class activation functions with application in the theory of impulse technics |
| title_full_unstemmed | A new class activation functions with application in the theory of impulse technics |
| title_short | A new class activation functions with application in the theory of impulse technics |
| title_sort | new class activation functions with application in the theory of impulse technics |
| topic | ''double step'' function $\sigma^{\ast}(t)$ $\sigma^{\ast \ast}(t)$--function emitting chart hausdorff distance |
| url | https://dergipark.org.tr/tr/download/article-file/482673 |
| work_keys_str_mv | AT nikolaykyurkchiev anewclassactivationfunctionswithapplicationinthetheoryofimpulsetechnics AT nikolaykyurkchiev newclassactivationfunctionswithapplicationinthetheoryofimpulsetechnics |