Journal of Mathematical Chemistry

, Volume 54, Issue 1, pp 109–119

On the Hausdorff distance between the Heaviside step function and Verhulst logistic function

Original Paper

DOI: 10.1007/s10910-015-0552-0

Cite this article as:
Kyurkchiev, N. & Markov, S. J Math Chem (2016) 54: 109. doi:10.1007/s10910-015-0552-0

Abstract

In this note we prove more precise estimates for the approximation of the step function by sigmoidal logistic functions. Numerical examples, illustrating our results are given, too.

Keywords

Sigmoid functions Logistic functions Interval functions Heaviside step function Sigmoid perceptron with one input Hausdorff distance Upper and lower bounds 

Copyright information

© Springer International Publishing Switzerland 2015

Authors and Affiliations

  1. 1.SofiaBulgaria