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Neural networks with discontinuous/impact activations

This book presents as its main subject new models in mathematical neuroscience. A wide range of neural networks models with discontinuities are discussed, including impulsive differential equations, differential equations with piecewise constant arguments, and models of mixed type. These models invo...

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Detalles Bibliográficos
Autores principales: Akhmet, Marat, Yilmaz, Enes
Lenguaje:eng
Publicado: Springer 2014
Materias:
Acceso en línea:https://dx.doi.org/10.1007/978-1-4614-8566-7
http://cds.cern.ch/record/1627018
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author Akhmet, Marat
Yilmaz, Enes
author_facet Akhmet, Marat
Yilmaz, Enes
author_sort Akhmet, Marat
collection CERN
description This book presents as its main subject new models in mathematical neuroscience. A wide range of neural networks models with discontinuities are discussed, including impulsive differential equations, differential equations with piecewise constant arguments, and models of mixed type. These models involve discontinuities, which are natural because huge velocities and short distances are usually observed in devices modeling the networks. A discussion of the models, appropriate for the proposed applications, is also provided. This book also: Explores questions related to the biological underpinning for models of neural networks\ Considers neural networks modeling using differential equations with impulsive and piecewise constant argument discontinuities Provides all necessary mathematical basics for application to the theory of neural networks Neural Networks with Discontinuous/Impact Activations is an ideal book for researchers and professionals in the field of engineering mathematics that have an interest in applying these systems to computational problems.
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institution Organización Europea para la Investigación Nuclear
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publishDate 2014
publisher Springer
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spelling cern-16270182021-04-21T21:38:46Zdoi:10.1007/978-1-4614-8566-7http://cds.cern.ch/record/1627018engAkhmet, MaratYilmaz, EnesNeural networks with discontinuous/impact activationsEngineeringThis book presents as its main subject new models in mathematical neuroscience. A wide range of neural networks models with discontinuities are discussed, including impulsive differential equations, differential equations with piecewise constant arguments, and models of mixed type. These models involve discontinuities, which are natural because huge velocities and short distances are usually observed in devices modeling the networks. A discussion of the models, appropriate for the proposed applications, is also provided. This book also: Explores questions related to the biological underpinning for models of neural networks\ Considers neural networks modeling using differential equations with impulsive and piecewise constant argument discontinuities Provides all necessary mathematical basics for application to the theory of neural networks Neural Networks with Discontinuous/Impact Activations is an ideal book for researchers and professionals in the field of engineering mathematics that have an interest in applying these systems to computational problems.Springeroai:cds.cern.ch:16270182014
spellingShingle Engineering
Akhmet, Marat
Yilmaz, Enes
Neural networks with discontinuous/impact activations
title Neural networks with discontinuous/impact activations
title_full Neural networks with discontinuous/impact activations
title_fullStr Neural networks with discontinuous/impact activations
title_full_unstemmed Neural networks with discontinuous/impact activations
title_short Neural networks with discontinuous/impact activations
title_sort neural networks with discontinuous/impact activations
topic Engineering
url https://dx.doi.org/10.1007/978-1-4614-8566-7
http://cds.cern.ch/record/1627018
work_keys_str_mv AT akhmetmarat neuralnetworkswithdiscontinuousimpactactivations
AT yilmazenes neuralnetworkswithdiscontinuousimpactactivations