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20142025
most citedAsymptotic analysis of average case approximation complexity of Hilbert space valued random elements

1 citations · 2 across the 8 of their papers we have counts for

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8 papers

math.PR2025

The class and mixture distributions with dominated continuous singular parts

A. A. Khartov

We consider a new class of distribution functions that have the property of rational-infinite divisibility: there exist some infinitely divisible distribution…

math.PR2024

On decomposition problem for distribution functions of class

A. A. Khartov

We consider a new class of distribution functions that have the property of rational-infinite divisibility: there exist some infinitely divisible distribution…

math.PR2023

Asymptotic analysis in multivariate worst case approximation with Gaussian kernels

A. A. Khartov, I. A. Limar

We consider a problem of approximation of -variate functions defined on which belong to the Hilbert space with tensor product-type reproducing Gaussian kernel wit…

math.PR2021

Asymptotic analysis in multivariate average case approximation with Gaussian kernels

A. A. Khartov, I. A. Limar

We consider tensor product random fields , , whose covariance funtions are Gaussian kernels. The average case approximation complexity i…

math.PR2018

Approximation complexity of homogeneous sums of random processes

A. A. Khartov, M. Zani

We study approximation properties of additive random fields , , which are sums of zero-mean random processes with the same continuous covariance functions. The…

math.PR2017★ 1 cited

Asymptotic analysis of average case approximation complexity of additive random fields

A. A. Khartov, M. Zani

We study approximation properties of sequences of centered additive random fields , . The average case approximation complexity is defin…

math.PR2015

Simplified criterion of quasi-polynomial tractability and its applications

A. A. Khartov

We study approximation properties of sequences of centered random elements , , with values in separable Hilbert spaces. We focus on sequences of tensor product…

math.PR2014★ 1 cited

Asymptotic analysis of average case approximation complexity of Hilbert space valued random elements

A. A. Khartov

We study approximation properties of sequences of centered random elements , , with values in separable Hilbert spaces. We focus on sequences of tensor product-…