117 citations · 133 across the 8 of their papers we have counts for
3 papers · 1 filter
On regularized polynomial functional regression
Markus Holzleitner, Sergei Pereverzyev
This article offers a comprehensive treatment of polynomial functional regression, culminating in the establishment of a novel finite sample bound. This bound encompasses various a…
Parameter choice strategies for least-squares approximation of noisy smooth functions on the sphere
Sergei. V. Pereverzyev, Ian. H. Sloan, Pavlo Tkachenko
We consider a polynomial reconstruction of smooth functions from their noisy values at discrete nodes on the unit sphere by a variant of the regularized least-squares method of An…
Two-parameter regularization of ill-posed spherical pseudo-differential equations in the space of continuous functions
Hui Cao, Sergei V. Pereverzyev, Ian H. Sloan +1
In this paper, a two-step regularization method is used to solve an ill-posed spherical pseudo-differential equation in the presence of noisy data. For the first step of regulariza…