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arXiv · 1208.3068

Dependence on the Dimension for Complexity of Approximation of Random Fields (in Russian)

N. A. Serdyukova
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Abstract

In the present paper a behavior of the "average case" approximation complexity for d-parametric random fields of tensor-type is studied. It was shown in [Lifshits and Tulyakova, 2006] that for a given approximation accuracy level the complexity of approximation increases exponentially, as d tends to infinity; that is the curse of dimensionality is observed. In this paper a technique allowing obtaining sharp asymptotic expressions for the approximation complexity is developed and such an expression is obtained.

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N. A. Serdyukova. 2012-08-15. Dependence on the Dimension for Complexity of Approximation of Random Fields (in Russian). https://arxiv.org/abs/1208.3068

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