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Back-Propagation Learning of Partial Functional Differential Equation with Discrete Time Delay

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Artificial Intelligence: Methodology, Systems, and Applications (AIMSA 2014)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 8722))

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Abstract

The present paper describes the back-propagation learning of a partial functional differential equation with reaction-diffusion term. The time-dependent recurrent learning algorithm is developed for a delayed recurrent neural network with the reaction-diffusion term. The proposed simulation methods are illustrated by the back-propagation learning of continuous multilayer Hopfield neural network with a discrete time delay and reaction-diffusion term using the prey-predator system as a teacher signal. The results show that the continuous Hopfield neural networks are able to approximate the signals generated from the predator-prey system with Hopf bifurcation.

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Kmet, T., Kmetova, M. (2014). Back-Propagation Learning of Partial Functional Differential Equation with Discrete Time Delay. In: Agre, G., Hitzler, P., Krisnadhi, A.A., Kuznetsov, S.O. (eds) Artificial Intelligence: Methodology, Systems, and Applications. AIMSA 2014. Lecture Notes in Computer Science(), vol 8722. Springer, Cham. https://doi.org/10.1007/978-3-319-10554-3_18

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  • DOI: https://doi.org/10.1007/978-3-319-10554-3_18

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-10553-6

  • Online ISBN: 978-3-319-10554-3

  • eBook Packages: Computer ScienceComputer Science (R0)

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