New complex-valued activation functions

Nihal Ozgur, Nihal Taş, James Francis Peters

Abstract


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.


Keywords


Complex valued neural network; complex-valued Hopfield neural network; activation function; fixed ellipse

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DOI: http://dx.doi.org/10.11121/ijocta.01.2020.00756

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Copyright (c) 2020 Nihal Yilmaz OZGUR, Nihal TAŞ, James Francis Peters

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