Hausdorff approximation of the sign function by a class of parametric activation functions | Zendy

Nikolay Kyurkchiev | Zendy; Svetoslav Markov | Zendy

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Hausdorff approximation of the sign function by a class of parametric activation functions

Author(s) -

Nikolay Kyurkchiev,

Svetoslav Markov

Publication year - 2016

Publication title -

biomath communications

Language(s) - English

Resource type - Journals

eISSN - 2367-5241

pISSN - 2367-5233

DOI - 10.11145/bmc.2016.12.217

Subject(s) - sign (mathematics) , hausdorff distance , mathematics , hausdorff space , parametric statistics , function (biology) , class (philosophy) , hausdorff measure , hausdorff dimension , sign function , combinatorics , pure mathematics , discrete mathematics , mathematical analysis , statistics , computer science , artificial intelligence , evolutionary biology , biology

In this paper we study the distance between the sign function and a class of parametric activation functions. The distance is measured in Hausdorff sense, which is natural in a situation when a sign function is involved. Precise upper and lower bounds for the Hausdorff distance have been obtained.

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