Detail publikačního výsledku

Construction of space-filling designs using a dynamical system of repulsive particles

VOŘECHOVSKÝ, M.; MAŠEK, J.

Originální název

Construction of space-filling designs using a dynamical system of repulsive particles

Anglický název

Construction of space-filling designs using a dynamical system of repulsive particles

Druh

Stať ve sborníku v databázi WoS či Scopus

Originální abstrakt

The presented contribution aims at development of a new efficient tool for generating of uniformly distributed points within a convex domain. One of use-cases of these point sets is the usage as optimized sets of integration points in statistical analyses of computer models using Monte Carlo type integration. It is well known that the pursuit of uniformly distributed sets of integration points is the only possible way of decreasing the upper bound on error of estimation of an integral over an unknown function. The optimization tool is derived based on a notion of a physical analogy between a set of sampling points and a dynamical system of mutually repelling particles.

Anglický abstrakt

The presented contribution aims at development of a new efficient tool for generating of uniformly distributed points within a convex domain. One of use-cases of these point sets is the usage as optimized sets of integration points in statistical analyses of computer models using Monte Carlo type integration. It is well known that the pursuit of uniformly distributed sets of integration points is the only possible way of decreasing the upper bound on error of estimation of an integral over an unknown function. The optimization tool is derived based on a notion of a physical analogy between a set of sampling points and a dynamical system of mutually repelling particles.

Klíčová slova

Space filling design, Phi criterion, dynamical particle system

Klíčová slova v angličtině

Space filling design, Phi criterion, dynamical particle system

Autoři

VOŘECHOVSKÝ, M.; MAŠEK, J.

Rok RIV

2021

Vydáno

24.07.2019

Nakladatel

AIP Conference Proceedings

ISBN

978-0-7354-1854-7

Kniha

AIP Conference Proceedings of ICNAAM 2018

Edice

2116

ISSN

0094-243X

Periodikum

AIP conference proceedings

Stát

Spojené státy americké

Strany od

1

Strany do

4

Strany počet

4

URL

https://aip.scitation.org/doi/abs/10.1063/1.5114555

BibTex

@inproceedings{BUT157834,
  author="Miroslav {Vořechovský} and Jan {Mašek}",
  title="Construction of space-filling designs using a dynamical system of repulsive particles",
  booktitle="AIP Conference Proceedings of ICNAAM 2018",
  year="2019",
  series="2116",
  journal="AIP conference proceedings",
  number="1",
  pages="1--4",
  publisher="AIP Conference Proceedings",
  doi="10.1063/1.5114555",
  isbn="978-0-7354-1854-7",
  issn="0094-243X",
  url="https://aip.scitation.org/doi/abs/10.1063/1.5114555"
}