Approximation of multidimensional dependences according to structured samples |
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| Authors: | M. G. Belyaev |
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| Affiliation: | 1.Kharkevich Institute for Information Transmission Problems,Russian Academy of Sciences,Moscow,Russia;2.Moscow Institute of Physics and Technology,Moscow oblast,Russia;3.OOO Datadvans,Moscow,Russia |
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| Abstract: | We consider the problem of multidimensional approximation according to samples with a factorial experimental design (full or incomplete). Universal approximation methods do not take this peculiarity of a sample into account. In the present work, a structural approximation method is developed: the function class and the regularization are chosen in a special way and efficient methods for finding an optimal solution in this class are proposed. |
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