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A New Class of Activation Functions Based on the Correcting Amendments

Author(s):

Nikolay Kyurkchiev , University of Plovdiv Paisii Hilendarski

Keywords:

Parametric activation function based on "amendments" of "Gompertz - type" and "Hyperbolic Tangent - type" - (PGHAF), Sign function, Hausdorff distance, Upper and lower bounds

Abstract

We will explore the interesting methodological task for constructing new activation functions using "correcting amendments" for example from a combination of amendment of "Gompertz - type" and "Hyperbolic Tangent - type". We prove upper and lower estimates for the Hausdorff approximation of the sign function by means of this new class of parametric activation functions - (PGHAF). Numerical examples, illustrating our results are given.

Other Details

Paper ID: IJSRDV6I20203
Published in: Volume : 6, Issue : 2
Publication Date: 01/05/2018
Page(s): 565-568

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