4 citations · 6 across the 5 of their papers we have counts for
6 papers
Worst case tractability of linear problems in the presence of noise: linear information
Leszek Plaskota, Paweł Siedlecki
We study the worst case tractability of multivariate linear problems defined on separable Hilbert spaces. Information about a problem instance consists of noisy evaluations of arbi…
Monte Carlo integration of functions with adaptive variance reduction: an asymptotic analysis
Leszek Plaskota, Paweł Przybyłowicz, Łukasz Stępień
The theme of the present paper is numerical integration of functions using randomized methods. We consider variance reduction methods that consist in two steps. First the ini…
On alternative quantization for doubly weighted approximation and integration over unbounded domains
P. Kritzer, F. Pillichshammer, L. Plaskota +1
It is known that for a -weighted -approximation of single variable functions with the th derivatives in a -weighted space, the minimal error of approximatio…
On efficient weighted integration via a change of variables
Peter Kritzer, Friedrich Pillichshammer, Leszek Plaskota +1
In this paper, we study the approximation of -dimensional -weighted integrals over unbounded domains or using a special change of variables, s…
Infinite-dimensional integration and the multivariate decomposition method
Frances Y. Kuo, Dirk Nuyens, Leszek Plaskota +2
We further develop the \emph{Multivariate Decomposition Method} (MDM) for the Lebesgue integration of functions of infinitely many variables with respect to a…
On Some Integrated Approaches to Inference
Mark A. Kon, Leszek Plaskota
We present arguments for the formulation of unified approach to different standard continuous inference methods from partial information. It is claimed that an explicit partition o…