Computer Intensive Methods in Control and Signal Processing

The Curse of Dimensionality

Authors: Warwick, Kevin, Karny, Miroslav

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About this book

Due to the rapid increase in readily available computing power, a corre­ sponding increase in the complexity of problems being tackled has occurred in the field of systems as a whole. A plethora of new methods which can be used on the problems has also arisen with a constant desire to deal with more and more difficult applications. Unfortunately by increasing the ac­ curacy in models employed along with the use of appropriate algorithms with related features, the resultant necessary computations can often be of very high dimension. This brings with it a whole new breed of problem which has come to be known as "The Curse of Dimensionality" . The expression "Curse of Dimensionality" can be in fact traced back to Richard Bellman in the 1960's. However, it is only in the last few years that it has taken on a widespread practical significance although the term di­ mensionality does not have a unique precise meaning and is being used in a slightly different way in the context of algorithmic and stochastic complex­ ity theory or in every day engineering. In principle the dimensionality of a problem depends on three factors: on the engineering system (subject), on the concrete task to be solved and on the available resources. A system is of high dimension if it contains a lot of elements/variables and/or the rela­ tionship/connection between the elements/variables is complicated.

Table of contents (19 chapters)

Table of contents (19 chapters)
  • Fighting Dimensionality with Linguistic Geometry: Serial and Concurrent Strategies

    Stilman, Boris

    Pages 1-47

  • Statistical Physics and the Optimization of Autonomous Behaviour in Complex Virtual Worlds

    Penney, Robert W.

    Pages 49-61

  • On Merging Gradient Estimation with Mean-Tracking Techniques for Cluster Identification

    Fox, Paul D. (et al.)

    Pages 63-72

  • Computational Aspects of Graph Theoretic Methods in Control

    Hangos, Katalin M. (et al.)

    Pages 73-92

  • Efficient Algorithms for Predictive Control of Systems with Bounded Inputs

    Chisci, Luigi (et al.)

    Pages 93-104

Buy this book

eBook 86,86 €
price for Spain (gross)
  • ISBN 978-1-4612-1996-5
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 135,19 €
price for Spain (gross)
  • ISBN 978-0-8176-3989-1
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
Softcover 106,90 €
price for Spain (gross)
  • ISBN 978-1-4612-7373-8
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
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Bibliographic Information

Bibliographic Information
Book Title
Computer Intensive Methods in Control and Signal Processing
Book Subtitle
The Curse of Dimensionality
Authors
Copyright
1997
Publisher
Birkhäuser Basel
Copyright Holder
Springer Science+Business Media New York
eBook ISBN
978-1-4612-1996-5
DOI
10.1007/978-1-4612-1996-5
Hardcover ISBN
978-0-8176-3989-1
Softcover ISBN
978-1-4612-7373-8
Edition Number
1
Number of Pages
XVI, 303
Topics