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02/28/2023
A multivariate Riesz basis of ReLU neural networks
We consider the trigonometric-like system of piecewise linear functions ...
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02/06/2023
New lower bounds for the integration of periodic functions
We study the integration problem on Hilbert spaces of (multivariate) per...
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08/26/2021
Lower bounds for integration and recovery in L_2
Function values are, in some sense, "almost as good" as general linear i...
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04/01/2020
Lower Bounds for the Error of Quadrature Formulas for Hilbert Spaces
We prove lower bounds for the worst case error of quadrature formulas th...
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09/25/2019
A variant of Schur's product theorem and its applications
We show the following version of the Schur's product theorem. If M=(M_j,...
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01/20/2019
Deterministic constructions of high-dimensional sets with small dispersion
The dispersion of a point set P⊂[0,1]^d is the volume of the largest box...
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04/04/2018
Identification of Shallow Neural Networks by Fewest Samples
We address the uniform approximation of sums of ridge functions ∑_i=1^m ...
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06/11/2015
Sparse Proteomics Analysis - A compressed sensing-based approach for feature selection and classification of high-dimensional proteomics mass spectrometry data
Background: High-throughput proteomics techniques, such as mass spectrom...
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08/18/2010