57 citations · 82 across the 3 of their papers we have counts for
5 papers
Basis selection, universal sampling discretization, and sampling recovery
Feng Dai, Jiashu Ran, Vladimir N. Temlyakov
For every real -dimensional subspace of , we construct one orthonormal basis such that, for every , at most positively weighted samples discreti…
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…
On the cardinality of lower sets and universal discretization
F. Dai, A. Prymak, A. Shadrin +2
A set in is a lower set if implies whenever for all . We derive new and refine known results…
Integral norm discretization and related problems
F. Dai, A. Prymak, V. N. Temlyakov +1
The problem of replacing an integral norm with respect to a given probability measure by the corresponding integral norm with respect to a discrete measure is discussed in the pape…