Approximation of multidimensional dependences according to structured samples

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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.

Original languageEnglish
Pages (from-to)328-339
Number of pages12
JournalScientific and Technical Information Processing
Issue number5
Publication statusPublished - 1 Dec 2015
Externally publishedYes


  • approximation according to sample
  • factorial design
  • Kronecker product


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