Network Theory and Applications

Convergence Analysis of Recurrent Neural Networks

Authors: Zhang Yi

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About this book

Since the outstanding and pioneering research work of Hopfield on recurrent neural networks (RNNs) in the early 80s of the last century, neural networks have rekindled strong interests in scientists and researchers. Recent years have recorded a remarkable advance in research and development work on RNNs, both in theoretical research as weIl as actual applications. The field of RNNs is now transforming into a complete and independent subject. From theory to application, from software to hardware, new and exciting results are emerging day after day, reflecting the keen interest RNNs have instilled in everyone, from researchers to practitioners. RNNs contain feedback connections among the neurons, a phenomenon which has led rather naturally to RNNs being regarded as dynamical systems. RNNs can be described by continuous time differential systems, discrete time systems, or functional differential systems, and more generally, in terms of non­ linear systems. Thus, RNNs have to their disposal, a huge set of mathematical tools relating to dynamical system theory which has tumed out to be very useful in enabling a rigorous analysis of RNNs.

Table of contents (8 chapters)

  • Introduction

    Yi, Zhang (et al.)

    Pages 1-14

  • Hopfield Recurrent Neural Networks

    Yi, Zhang (et al.)

    Pages 15-32

  • Cellular Neural Networks

    Yi, Zhang (et al.)

    Pages 33-67

  • Recurrent Neural Networks with Unsaturating Piecewise Linear Activation Functions

    Yi, Zhang (et al.)

    Pages 69-89

  • Lotka-Volterra Recurrent Neural Networks with Delays

    Yi, Zhang (et al.)

    Pages 91-117

Buy this book

eBook $119.00
price for USA (gross)
  • ISBN 978-1-4757-3819-3
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $159.00
price for USA
valid through November 5, 2017
  • ISBN 978-1-4020-7694-7
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $159.00
price for USA
valid through November 5, 2017
  • ISBN 978-1-4757-3821-6
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Convergence Analysis of Recurrent Neural Networks
Authors
Series Title
Network Theory and Applications
Series Volume
13
Copyright
2004
Publisher
Springer US
Copyright Holder
Springer Science+Business Media Dordrecht
eBook ISBN
978-1-4757-3819-3
DOI
10.1007/978-1-4757-3819-3
Hardcover ISBN
978-1-4020-7694-7
Softcover ISBN
978-1-4757-3821-6
Series ISSN
1568-1696
Edition Number
1
Number of Pages
XVII, 233
Topics