Models of Neurons and Perceptrons: Selected Problems and Challenges by Andrzej B

Description: Models of Neurons and Perceptrons: Selected Problems and Challenges by Andrzej Bielecki 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. FORMAT Paperback LANGUAGE English CONDITION Brand New Back Cover 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. Table of Contents Introduction.- Part I: Preliminaries.- Foundations of articial 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. Feature Presents the modeling of neural systems, as well as hardware and software implementations of these models and their analysis using mathematical tools Discusses models of neural networks in the context of their modeling Unifies the studies on mathematical modeling of the biological neural structures and artificial neural networks Details ISBN3030079422 Author Andrzej Bielecki Series Studies in Computational Intelligence Year 2019 ISBN-10 3030079422 ISBN-13 9783030079420 Format Paperback Subtitle Selected Problems and Challenges DEWEY 006.3 Language English Place of Publication Cham Country of Publication Switzerland Pages 156 Publisher Springer Nature Switzerland AG Publication Date 2019-02-08 Imprint Springer Nature Switzerland AG Series Number 770 UK Release Date 2019-02-08 Illustrations 30 Illustrations, black and white; VI, 156 p. 30 illus. Edition Description Softcover reprint of the original 1st ed. 2019 Alternative 9783319901398 Audience Professional & Vocational We've got this At The Nile, if you're looking for it, we've got it. With fast shipping, low prices, friendly service and well over a million items - you're bound to find what you want, at a price you'll love! TheNile_Item_ID:132218696;

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