Publication detail

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

VOŘECHOVSKÝ, M. MAŠEK, J.

Original Title

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

Type

conference paper

Language

English

Original Abstract

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.

Keywords

Space filling design, Phi criterion, dynamical particle system

Authors

VOŘECHOVSKÝ, M.; MAŠEK, J.

Released

24. 7. 2019

Publisher

AIP Conference Proceedings

ISBN

978-0-7354-1854-7

Book

AIP Conference Proceedings of ICNAAM 2018

Edition

2116

Edition number

1

ISBN

0094-243X

Periodical

AIP conference proceedings

State

United States of America

Pages from

1

Pages to

4

Pages count

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"
}