Asymptotic behavior of the loss function in the multiplicative scaling of the wavelet coefficients of a signal function |
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| Authors: | A A Kudryavtsev O V Shestakov |
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| Institution: | 1.Faculty of Computational Mathematics and Cybernetics,Moscow State University,Moscow,Russia;2.Institute of Informatics Problems,Federal Research Center “Computer Science and Control” of the Russian Academy of Sciences,Moscow,Russia |
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| Abstract: | The construction of an estimator for a signal function from noisy data is considered. The technique depends on minimizing the probability of exceeding the maximum error in calculating the wavelet coefficients for a given critical value. In a model with additive Gaussian noise, the order of the loss function is estimated in a class of Lipschitz regular functions. |
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