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Research Article Open access CC BY 3.0

Haraux Type Activation Functions in Neural Network Theory

Nasser-eddine Tatar

Journal of Advances in Mathematics and Computer Science · pp. 3163–3170 · Published 4 Sep 2014

10.9734/BJMCS/2014/12361

Abstract

A general system of ordinary differential equations that appear in neural network theory is studied. We consider nonlinear activation functions which have not been treated in the literature so far. Namely, we assume that the nonlinear activation functions are continuous functions but not necessarily Lipschitz continuous.

Neural network activation function Lipschitz continuous exponential convergence global existence.

Cited by 3

A nonlinear version of the distributed Halanay inequality and its application

Nasser‐eddine Tatar, Rathinasamy Sakthivel · Mathematical Methods in the Applied Sciences · 2021

Time‐dependent neural networks with activation functions violating the standard Lipschitz condition

Nasser‐eddine Tatar, Sakthivel Rathinasamy · Mathematical Methods in the Applied Sciences · 2022

Asymptotic behavior of a BAM neural network with delays of distributed type

S. Othmani, N.-E. Tatar, A. Khemmoudj · Mathematical Modelling of Natural Phenomena · 2021

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