3 papers
math.NA2020
On Quasi-Monte Carlo Methods in Weighted ANOVA Spaces
Peter Kritzer, Friedrich Pillichshammer, G. W. Wasilkowski
In the present paper we study quasi-Monte Carlo rules for approximating integrals over the -dimensional unit cube for functions from weighted Sobolev spaces of regularity one. W…
math.NA2017
Small Superposition Dimension and Active Set Construction for Multivariate Integration Under Modest Error Demand
Alexander D. Gilbert, Greg W. Wasilkowski
Constructing active sets is a key part of the Multivariate Decomposition Method. An algorithm for constructing optimal or quasi-optimal active sets is proposed in the paper. By num…
math.NA2012
On Tractability of Approximation for a Special Space of Functions
Markus Hegland, Greg W. Wasilkowski
We consider approximation problems for a special space of d variate functions. We show that the problems have small number of active variables, as it has been postulated in the pas…