Models of Neural Networks III: Association, Generalization, and Representation

Eytan Domany

ISBN 10: 1461268826 / ISBN 13: 9781461268826

Published by Springer-Verlag New York Inc., 2012

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Bibliographic Details

• Title: Models of Neural Networks III: Association, Generalization, and Representation
• Publisher: Springer-Verlag New York Inc.
• Publication Date: 2012
• Language: English
• ISBN 10: 1461268826
• ISBN 13: 9781461268826
• Binding: Paperback / softback
• Condition: New

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Synopsis

One of the most challenging and fascinating problems of the theory of neural nets is that of asymptotic behavior, of how a system behaves as time proceeds. This is of particular relevance to many practical applications. Here we focus on association, generalization, and representation. We turn to the last topic first. The introductory chapter, "Global Analysis of Recurrent Neural Net­ works," by Andreas Herz presents an in-depth analysis of how to construct a Lyapunov function for various types of dynamics and neural coding. It includes a review of the recent work with John Hopfield on integrate-and­ fire neurons with local interactions. The chapter, "Receptive Fields and Maps in the Visual Cortex: Models of Ocular Dominance and Orientation Columns" by Ken Miller, explains how the primary visual cortex may asymptotically gain its specific structure through a self-organization process based on Hebbian learning. His argu­ ment since has been shown to be rather susceptible to generalization.