Computer Intensive Methods in Control and Signal Processing: The Curse of Dimensionality pdf epub fb2

Computer Intensive Methods in Control and Signal Processing: The Curse of Dimensionality by Kevin Warwick, Miroslav Karny epub fb2 djvu

Author: Kevin Warwick, Miroslav Karny
Title: Computer Intensive Methods in Control and Signal Processing: The Curse of Dimensionality
ISBN: 0817639896
ISBN13: 978-0817639891
Other Formats: rtf mobi mbr txt
Pages: 303 pages
Publisher: Birkhäuser; 1997 edition (March 1, 1997)
Language: English
Size EPUB version: 1621 kb
Size FB2 version: 1438 kb
Category: Computers & Technology
Subcategory: Computer Science

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.

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