A new class activation functions with application in the theory of impulse technics

Authors : Nikolay KYURKCHİEV

Pages : 15-20

Doi:10.33187/jmsm.421392

View : 15 | Download : 11

Publication Date : 2018-05-27

Article Type : Research Paper

Abstract :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 $\sigma^{\ast}insert ignore into journalissuearticles values(t);$ insert ignore into journalissuearticles values(resp. function $\sigma^{\ast \ast}insert ignore into journalissuearticles values(t);$); 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.
Keywords : `double step` function sigma^ ast t, , sigma^ ast ast t, function, emitting chart, Hausdorff distance