Applied and computational aspects of nonlinear wavelet approximation (Q2737666)

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scientific article; zbMATH DE number 1645835
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Applied and computational aspects of nonlinear wavelet approximation
scientific article; zbMATH DE number 1645835

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    25 July 2002
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    wavelet thresholding
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    adaptive numerical simulation
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    nonlinear wavelet approximation
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    data compression
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    Applied and computational aspects of nonlinear wavelet approximation (English)
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    The author provides a short survey of nonlinear wavelet approximation from the perspective of some important applications, namely data compression, statistical estimation, adaptive schemes for PDEs and integral equations. The paper is organized as follows:NEWLINENEWLINENEWLINEIntroduction, A simple example (illustrates the differences between linear and nonlinear approximation), Wavelets and thresholding, Data compression, Statistical estimation, Adaptive numerical simulation, The curse of dimensionality.NEWLINENEWLINEFor the entire collection see [Zbl 0963.00017].
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