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Biomath Communications
Article . 2017 . Peer-reviewed
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A Note on the New Activation Function of Gompertz Type

descriptionPublicationkeyboard_double_arrow_right Article 20 Oct 2017Publisher:Institute of Mathematics and Informatics Bulgarian Academy of SciencesJournal:Biomath Communications, volume 4 (issn: 2367-5233, eissn: 2367-5241, Copyright policy )
Authors: Anton Iliev Iliev; Nikolay Kyurkchiev; Svetoslav Markov;

doi: 10.11145/bmc.2017.10.201

A Note on the New Activation Function of Gompertz Type

Abstract

In this note we construct a family of parametric Gompertz activation function (PGAF) based on hyperbolic tangent function. We prove upper and lower estimates for the Hausdorff approximation of the sign function by means of this family. Some comparisons between the hyperbolic tangent activation function and the new parametric Gompertz activation function are reported. Numerical examples, illustrating our results are given.

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
5
Average
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Average
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