57 citations · 173 across the 38 of their papers we have counts for
41 papers
Sampling discretization of the uniform norm for hyperbolic-cross trigonometric polynomials
Feng Dai, Andriy Prymak
We study sampling discretization of the uniform norm for trigonometric polynomials with frequencies in a hyperbolic cross of level on $\T^d$. For every and $\varepsil…
Empirical Approximation of Norms
Feng Dai, Egor Kosov, Noel Murasko
We study empirical moments of a random vector based on its i.i.d.\ copies , that is, . Our m…
A survey on sampling recovery
F. Dai, V. Temlyakov
The reconstruction of unknown functions from a finite number of samples is a fundamental challenge in pure and applied mathematics. This survey provides a comprehensive overview of…
Compression using Quasi-Interpolation
Martin Buhmann, Feng Dai
We consider quasi-interpolation with a main application in radial basis function approximations and compression in this article. Constructing and using these quasi-interpolants, we…
Lebesgue-type inequalities in sparse sampling recovery
F. Dai, V. Temlyakov
Recently, it has been discovered that results on universal sampling discretization of the square norm are useful in sparse sampling recovery with error being measured in the square…
Random points are good for universal discretization
F. Dai, V. Temlyakov
There has been significant progress in the study of sampling discretization of integral norms for both a designated finite-dimensional function space and a finite collection of suc…