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Cover: 9783319901398 | Models of Neurons and Perceptrons: Selected Problems and Challenges
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Models of Neurons and Perceptrons: Selected Problems and Challenges
Buch von Andrzej Bielecki
Sprache: Englisch

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Beschreibung
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.
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.
Zusammenfassung

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

Inhaltsverzeichnis
Introduction.- Part I: Preliminaries.- Foundations of arti¿cial 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.
Details
Erscheinungsjahr: 2018
Fachbereich: Technik allgemein
Genre: Technik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
Reihe: Studies in Computational Intelligence
Inhalt: vi
156 S.
30 s/w Illustr.
156 p. 30 illus.
ISBN-13: 9783319901398
ISBN-10: 3319901397
Sprache: Englisch
Herstellernummer: 978-3-319-90139-8
Ausstattung / Beilage: HC runder Rücken kaschiert
Einband: Gebunden
Autor: Bielecki, Andrzej
Auflage: 1st ed. 2019
Hersteller: Springer International Publishing
Springer International Publishing AG
Studies in Computational Intelligence
Maße: 241 x 160 x 15 mm
Von/Mit: Andrzej Bielecki
Erscheinungsdatum: 28.05.2018
Gewicht: 0,418 kg
Artikel-ID: 112638805
Zusammenfassung

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

Inhaltsverzeichnis
Introduction.- Part I: Preliminaries.- Foundations of arti¿cial 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.
Details
Erscheinungsjahr: 2018
Fachbereich: Technik allgemein
Genre: Technik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
Reihe: Studies in Computational Intelligence
Inhalt: vi
156 S.
30 s/w Illustr.
156 p. 30 illus.
ISBN-13: 9783319901398
ISBN-10: 3319901397
Sprache: Englisch
Herstellernummer: 978-3-319-90139-8
Ausstattung / Beilage: HC runder Rücken kaschiert
Einband: Gebunden
Autor: Bielecki, Andrzej
Auflage: 1st ed. 2019
Hersteller: Springer International Publishing
Springer International Publishing AG
Studies in Computational Intelligence
Maße: 241 x 160 x 15 mm
Von/Mit: Andrzej Bielecki
Erscheinungsdatum: 28.05.2018
Gewicht: 0,418 kg
Artikel-ID: 112638805
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