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04/28/2023
On the power of standard information for tractability for L_∞ approximation of periodic functions in the worst case setting
We study multivariate approximation of periodic function in the worst ca...
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01/18/2022
Optimal randomized quadrature for weighted Sobolev and Besov classes with the Jacobi weight on the ball
We consider the numerical integration INT_d(f)=∫_𝔹^df(x)w_μ(x)dx f...
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01/18/2022
Weighted ℓ_q approximation problems on the ball and on the sphere
Let L_q,μ, 1≤ q<∞, μ≥0, denote the weighted L_q space with the classic...
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01/12/2021
On the power of standard information for tractability for L_2-approximation in the average case setting
We study multivariate approximation in the average case setting with the...
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01/11/2021
On the power of standard information for tractability for L_2-approximation in the randomized setting
We study approximation of multivariate functions from a separable Hilber...
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01/11/2021
Approximation and quadrature by weighted least squares polynomials on the sphere
Given a sequence of Marcinkiewicz-Zygmund inequalities in L_2 on a usual...
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09/22/2019
Outlier-Detection Based Robust Information Fusion for Networked Systems
We consider state estimation for networked systems where measurements fr...
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07/01/2019
Strong equivalences of approximation numbers and tractability of weighted anisotropic Sobolev embeddings
In this paper, we study multivariate approximation defined over weighted...
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07/01/2019
Average case tractability of additive random fields with Korobov kernels
We investigate average case tractability of approximation of additive ra...
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06/30/2019
An outlier-robust Kalman filter with mixture correntropy
We consider the robust filtering problem for a nonlinear state-space mod...
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09/07/2018