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  • Book
  • © 2003

Learning and Generalisation

With Applications to Neural Networks

Authors:

  • Comprehensive; this book covers all aspects of learning theory and its applications. Other books have a narrower focus
  • It contains applications not only to neural networks but also to control systems
  • The author has recently been selected to receive the Hendrik W. Bode Lecture Prize awarded by the IEEE Control Systems Society
  • Includes supplementary material: sn.pub/extras

Part of the book series: Communications and Control Engineering (CCE)

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eBook USD 149.00
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Softcover Book USD 199.99
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Hardcover Book USD 199.99
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  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
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Table of contents (12 chapters)

  1. Front Matter

    Pages i-xxi
  2. Introduction

    • M. Vidyasagar
    Pages 1-11
  3. Preliminaries

    • M. Vidyasagar
    Pages 13-41
  4. Problem Formulations

    • M. Vidyasagar
    Pages 43-113
  5. Uniform Convergence of Empirical Means

    • M. Vidyasagar
    Pages 149-205
  6. Learning Under a Fixed Probability Measure

    • M. Vidyasagar
    Pages 207-253
  7. Distribution-Free Learning

    • M. Vidyasagar
    Pages 255-283
  8. Alternate Models of Learning

    • M. Vidyasagar
    Pages 311-363
  9. Applications to Neural Networks

    • M. Vidyasagar
    Pages 365-420
  10. Applications to Control Systems

    • M. Vidyasagar
    Pages 421-463
  11. Some Open Problems

    • M. Vidyasagar
    Pages 465-474
  12. Back Matter

    Pages 475-488

About this book

Learning and Generalization provides a formal mathematical theory addressing intuitive questions of the type:

• How does a machine learn a concept on the basis of examples?

• How can a neural network, after training, correctly predict the outcome of a previously unseen input?

• How much training is required to achieve a given level of accuracy in the prediction?

• How can one identify the dynamical behaviour of a nonlinear control system by observing its input-output behaviour over a finite time?

The second edition covers new areas including:

• support vector machines;

• fat-shattering dimensions and applications to neural network learning;

• learning with dependent samples generated by a beta-mixing process;

• connections between system identification and learning theory;

• probabilistic solution of 'intractable problems' in robust control and matrix theory using randomized algorithms.

It also contains solutions to some of the open problems posed in the first edition, while adding new open problems.

Authors and Affiliations

  • Tata Consultancy Services, Secunderabad, India

    M. Vidyasagar

Bibliographic Information

Buy it now

Buying options

eBook USD 149.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 199.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 199.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access