EAN: 9783319901398

MODELS OF NEURONS AND PERCEPTRONS SELECTED PROB...

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.

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