Models of Neurons and Perceptrons: Selected Problems and Challenges

• Main Author: Bielecki, Andrzej (Author, http://id.loc.gov/vocabulary/relators/aut)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2019.
• Edition: 1st ed. 2019.
• Series: Studies in Computational Intelligence, 770
• Subjects: Computational intelligence.; Artificial intelligence.; Neural networks (Computer science) .; Computational complexity.; Neurobiology.; Computational Intelligence.; Artificial Intelligence.; Mathematical Models of Cognitive Processes and Neural Networks.; Complexity.

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...

Table of Contents:

• 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. .