Zobrazeno 1 - 10
of 96
pro vyhledávání: '"Plaskota, Leszek"'
Autor:
Plaskota, Leszek, Siedlecki, Paweł
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 arbitrary bounded linear functionals, where the noise is either determinis
Externí odkaz:
http://arxiv.org/abs/2303.16328
Publikováno v:
BIT Numerical Mathematics (2023) 63:32
The theme of the present paper is numerical integration of $C^r$ functions using randomized methods. We consider variance reduction methods that consist in two steps. First the initial interval is partitioned into subintervals and the integrand is ap
Externí odkaz:
http://arxiv.org/abs/2206.03125
In this paper, we study the approximation of $d$-dimensional $\rho$-weighted integrals over unbounded domains $\mathbb{R}_+^d$ or $\mathbb{R}^d$ using a special change of variables, so that quasi-Monte Carlo (QMC) or sparse grid rules can be applied
Externí odkaz:
http://arxiv.org/abs/1812.04259
We further develop the \emph{Multivariate Decomposition Method} (MDM) for the Lebesgue integration of functions of infinitely many variables $x_1,x_2,x_3,\ldots$ with respect to a corresponding product of a one dimensional probability measure. Althou
Externí odkaz:
http://arxiv.org/abs/1501.05445
Autor:
Kon, Mark A., Plaskota, Leszek
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 of information into a priori (prior knowledge) and a posteriori informa
Externí odkaz:
http://arxiv.org/abs/1212.1180
Akademický článek
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Publikováno v:
SIAM Journal on Numerical Analysis, 2013 Jan 01. 51(3), 1470-1493.
Externí odkaz:
http://dx.doi.org/10.1137/120876897
