New complex-valued activation functions

An International Journal of Optimization and Control: Theories & Applications

article

Nihal Ozgur¹  Nihal Taş¹  James Francis Peters² 

[1] Balikesir University;Computational Intelligence Laboratory, University of Manitoba

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

DOI  :  10.11121/ijocta.01.2020.00756

学科分类：地球科学(综合)

来源: Balikesir University

【 摘 要 】

We present a new type of activation functions for a complex-valued neuralnetwork (CVNN). A proposed activation function is constructed such that itfixes a given ellipse. We obtain an application to a complex-valued Hopfieldneural network (CVHNN) using a special form of the introduced complexfunctions as an activation function. Considering the interesting geometricproperties of the plane curve ellipse such as focusing property, weemphasize that these properties may have possible applications in variousneural networks.

【 授权许可】

CC BY