EAN: 9781461273738

COMPUTER INTENSIVE METHODS IN CONTROL AND SIGNA...

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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