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2019 | OriginalPaper | Chapter

An Application of the Lurie Problem in Hopfield Neural Networks

Authors : Rafael Fernandes Pinheiro, Diego Colón

Published in: Proceedings of DINAME 2017

Publisher: Springer International Publishing

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Abstract

The goal of this work is to present applications of recent results in the Lurie problem, also known as the absolute stability problem, to Hopfield neural networks, aiming its stability analysis. We show how to obtain the mathematical model of a neural network, in terms of differential equations, and present simulations for some examples. We give special attention to networks with multiple inputs and outputs, and point future directions of research to be followed.

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Title: An Application of the Lurie Problem in Hopfield Neural Networks
Authors: Rafael Fernandes Pinheiro
Diego Colón
Publisher: Springer International Publishing
Book: Proceedings of DINAME 2017
Print ISBN: 978-3-319-91216-5

Electronic ISBN: 978-3-319-91217-2

Copyright Year: 2019
DOI: https://doi.org/10.1007/978-3-319-91217-2_26