Hopfield neural networks with unbounded monotone activation functions

Authors:
Nasser-eddine Tatar
Affiliations:
Department of Mathematics and Statistics, King Fahd University of Petroleum and Minerals, Dhahran, Saudi Arabia
Venue:
Advances in Artificial Neural Systems
Year:
2012

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Abstract

For the Hopfield Neural Network problem we consider unbounded monotone nondecreasing activation functions. We prove convergence to zero in an exponential manner provided that we start with sufficiently small initial data.