Modeling chaotic and spatially extended systems (Q2753649)

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scientific article; zbMATH DE number 1670456
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English
Modeling chaotic and spatially extended systems
scientific article; zbMATH DE number 1670456

    Statements

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    2 December 2002
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    models of chaotic systems
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    attractor reconstruction
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    local modeling
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    absolute averaging
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    integrated averaging
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    one-step-ahead-cross-validation
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    average mean square error
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    Modeling chaotic and spatially extended systems (English)
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    The paper is organized as follows. In the first section, ``Attractor reconstruction and local modeling'', the authors propose two local constant prediction schemes, absolute averaging and integrated averaging. The performance of the one-step-ahead-cross-validation is evaluated through the average mean square error and the normalized multi-step-ahead-cross-validation error. The next subject is related to the search of fast nearest neighbors; it is followed by some numerical examples and by general conclusions.
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