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Models of neurons and perceptronssel...

Bielecki, Andrzej.

Models of neurons and perceptronsselected problems and challenges /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Models of neurons and perceptronsby Andrzej Bielecki.
Reminder of title:	selected problems and challenges /
Author:	Bielecki, Andrzej.
Published:	Cham :Springer International Publishing :2019.
Description:	vi, 156 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
Subject:	NeuronsSimulation methods.
Online resource:	http://dx.doi.org/10.1007/978-3-319-90140-4
ISBN:	9783319901404$q(electronic bk.)

Models of neurons and perceptronsselected problems and challenges /
Bielecki, Andrzej.

Models of neurons and perceptronsselected problems and challenges /[electronic resource] :by Andrzej Bielecki. - Cham :Springer International Publishing :2019. - vi, 156 p. :ill., digital ;24 cm. - Studies in computational intelligence,v.7701860-949X ;. - Studies in computational intelligence ;v. 216..

Introduction -- Part I: Preliminaries -- Foundations of artiﬁcial neural networks -- Part II: Mathematical foundations -- General foundations -- Foundations of dynamical systems theory -- Part III: Mathematical models of the neuron -- Models of the whole neuron -- Models of parts of the neuron -- Part IV: Mathematical models of the perceptron -- General model of the perceptron -- Linear perceptrons -- Weakly nonlinear perceptrons -- Nonlinear perceptrons -- Concluding remarks and comments.

This book describes models of the neuron and multilayer neural structures, with a particular focus on mathematical models. It also discusses electronic circuits used as models of the neuron and the synapse, and analyses the relations between the circuits and mathematical models in detail. The first part describes the biological foundations and provides a comprehensive overview of the artificial neural networks. The second part then presents mathematical foundations, reviewing elementary topics, as well as lesser-known problems such as topological conjugacy of dynamical systems and the shadowing property. The final two parts describe the models of the neuron, and the mathematical analysis of the properties of artificial multilayer neural networks. Combining biological, mathematical and electronic approaches, this multidisciplinary book it useful for the mathematicians interested in artificial neural networks and models of the neuron, for computer scientists interested in formal foundations of artificial neural networks, and for the biologists interested in mathematical and electronic models of neural structures and processes.

ISBN: 9783319901404$q(electronic bk.)

Standard No.: 10.1007/978-3-319-90140-4doiSubjects--Topical Terms:

829732
Neurons
--Simulation methods.

LC Class. No.: QP363 / .B54 2019

Dewey Class. No.: 573.8536

Models of neurons and perceptronsselected problems and challenges /
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505 0 $a Introduction -- Part I: Preliminaries -- Foundations of artiﬁcial neural networks -- Part II: Mathematical foundations -- General foundations -- Foundations of dynamical systems theory -- Part III: Mathematical models of the neuron -- Models of the whole neuron -- Models of parts of the neuron -- Part IV: Mathematical models of the perceptron -- General model of the perceptron -- Linear perceptrons -- Weakly nonlinear perceptrons -- Nonlinear perceptrons -- Concluding remarks and comments.
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