New complex-valued activation functions | Zendy

Nihal Yılmaz Özgür | Zendy; Ni̇hal Taş | Zendy; James F. Peters | Zendy

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New complex-valued activation functions

Author(s) -

Nihal Yılmaz Özgür,

Ni̇hal Taş,

James F. Peters

Publication year - 2020

Publication title -

an international journal of optimization and control theories and applications (ijocta)

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.287

H-Index - 6

eISSN - 2146-5703

pISSN - 2146-0957

DOI - 10.11121/ijocta.01.2020.00756

Subject(s) - ellipse , activation function , function (biology) , complex plane , plane (geometry) , property (philosophy) , computer science , mathematics , topology (electrical circuits) , mathematical analysis , geometry , artificial intelligence , combinatorics , artificial neural network , philosophy , epistemology , evolutionary biology , biology

We present a new type of activation functions for a complex-valued neural network (CVNN). A proposed activation function is constructed such that it fixes a given ellipse. We obtain an application to a complex-valued Hopfield neural network (CVHNN) using a special form of the introduced complex functions as an activation function. Considering the interesting geometric properties of the plane curve ellipse such as focusing property, we emphasize that these properties may have possible applications in various neural networks.

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