New complex-valued activation functions

New complex-valued activation functions

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 fun...

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Bibliographic Details
Main Authors: Nihal Ozgur, Nihal Taş, James Francis Peters
Format: Article
Language:English
Published: Balikesir University 2020-01-01
Series:An International Journal of Optimization and Control: Theories & Applications
Subjects:
Complex valued neural network
complex-valued Hopfield neural network
activation function
fixed ellipse
Online Access:http://www.ijocta.org/index.php/files/article/view/756
Description
Summary: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.
ISSN:2146-0957
2146-5703

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