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

id	doaj-940703cf05414b4aac4e04c5859fd0f9
record_format	Article
spelling	doaj-940703cf05414b4aac4e04c5859fd0f92021-03-09T02:14:15ZengBalikesir UniversityAn International Journal of Optimization and Control: Theories & Applications 2146-09572146-57032020-01-0110110.11121/ijocta.01.2020.00756New complex-valued activation functionsNihal Ozgur0Nihal Taş1James Francis PetersBalikesir UniversityBalikesir University 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. http://www.ijocta.org/index.php/files/article/view/756Complex valued neural networkcomplex-valued Hopfield neural networkactivation functionfixed ellipse
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Nihal Ozgur Nihal Taş James Francis Peters
spellingShingle	Nihal Ozgur Nihal Taş James Francis Peters New complex-valued activation functions An International Journal of Optimization and Control: Theories & Applications Complex valued neural network complex-valued Hopfield neural network activation function fixed ellipse
author_facet	Nihal Ozgur Nihal Taş James Francis Peters
author_sort	Nihal Ozgur
title	New complex-valued activation functions
title_short	New complex-valued activation functions
title_full	New complex-valued activation functions
title_fullStr	New complex-valued activation functions
title_full_unstemmed	New complex-valued activation functions
title_sort	new complex-valued activation functions
publisher	Balikesir University
series	An International Journal of Optimization and Control: Theories & Applications
issn	2146-0957 2146-5703
publishDate	2020-01-01
description	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.
topic	Complex valued neural network complex-valued Hopfield neural network activation function fixed ellipse
url	http://www.ijocta.org/index.php/files/article/view/756
work_keys_str_mv	AT nihalozgur newcomplexvaluedactivationfunctions AT nihaltas newcomplexvaluedactivationfunctions AT jamesfrancispeters newcomplexvaluedactivationfunctions
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New complex-valued activation functions

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