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06/12/2023
Efficient recovery of non-periodic multivariate functions from few scattered samples
It has been observed by several authors that well-known periodization st...
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05/12/2023
Sampling recovery in uniform and other norms
We study the recovery of functions in the uniform norm based on function...
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02/28/2023
Marcinkiewicz–Zygmund inequalities for scattered and random data on the q-sphere
The recovery of multivariate functions and estimating their integrals fr...
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12/01/2022
Sampling numbers of smoothness classes via ℓ^1-minimization
Using techniques developed recently in the field of compressed sensing w...
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10/04/2022
L_p-Sampling recovery for non-compact subclasses of L_∞
In this paper we study the sampling recovery problem for certain relevan...
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09/06/2022
Haar frame characterizations of Besov-Sobolev spaces and optimal embeddings into their dyadic counterparts
We study the behavior of Haar coefficients in Besov and Triebel-Lizorkin...
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08/29/2022
On the reconstruction of functions from values at subsampled quadrature points
This paper is concerned with function reconstruction from samples. The s...
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02/25/2022
Constructive subsampling of finite frames with applications in optimal function recovery
In this paper we present new constructive methods, random and determinis...
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08/30/2021
Fast Hyperbolic Wavelet Regression meets ANOVA
We use hyperbolic wavelet regression for the fast reconstruction of high...
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03/20/2021
A note on sampling recovery of multivariate functions in the uniform norm
We study the recovery of multivariate functions from reproducing kernel ...
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12/22/2020
Approximation of functions with small mixed smoothness in the uniform norm
In this paper we present results on asymptotic characteristics of multiv...
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09/30/2020
A new upper bound for sampling numbers
We provide a new upper bound for sampling numbers (g_n)_n∈ℕ associated t...
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09/24/2020
L_2-norm sampling discretization and recovery of functions from RKHS with finite trace
We provide a spectral norm concentration inequality for infinite random ...
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06/12/2020
On the optimal constants in the two-sided Stechkin inequalities
We address the optimal constants in the strong and the weak Stechkin ine...
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04/07/2020
Adaptive sampling recovery of functions with higher mixed regularity
We tensorize the Faber spline system from [14] to prove sequence space i...
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01/24/2020
How anisotropic mixed smoothness affects the decay of singular numbers of Sobolev embeddings
We continue the research on the asymptotic and preasymptotic decay of si...
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12/01/2019
A higher order Faber spline basis for sampling discretization of functions
This paper is devoted to the question of constructing a higher order Fab...
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11/22/2019
Worst case recovery guarantees for least squares approximation using random samples
We consider a least squares regression algorithm for the recovery of com...
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07/08/2019
The Haar System in Triebel-Lizorkin Spaces: Endpoint Results
We determine for which parameters natural enumerations of the Haar syste...
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02/23/2018