Models of Neurons and Perceptrons: Selected Problems and Challenges, 1st ed. 2019 Studies in Computational Intelligence Series, Vol. 770
Langue : Anglais
Auteur : Bielecki Andrzej
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.
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.
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
Date de parution : 02-2019
Ouvrage de 156 p.
15.5x23.5 cm
Date de parution : 05-2018
Ouvrage de 156 p.
15.5x23.5 cm
Thème de Models of Neurons and Perceptrons: Selected Problems and... :
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