Publication result detail

FORMULATION OF POTENTIAL FOR DYNAMICAL PARTICLE SYSTEM APPLIED TO MONTE CARLO SAMPLING

MAŠEK, J.; VOŘECHOVSKÝ, M.

Original Title

FORMULATION OF POTENTIAL FOR DYNAMICAL PARTICLE SYSTEM APPLIED TO MONTE CARLO SAMPLING

English Title

FORMULATION OF POTENTIAL FOR DYNAMICAL PARTICLE SYSTEM APPLIED TO MONTE CARLO SAMPLING

Type

Paper in proceedings (conference paper)

Original Abstract

The presented paper investigates the effect of formulation of energy potential of a dynamical particle system as used for optimization of statistical point sampling. The dynamical particle system, originally developed as a physical analogy of the Audze-Eglajs (AE) optimization criterion and its periodical modification (PAE), effectively demonstrated that the originally proposed potential performs well only in poorly applicable scenarios of design spaces of low dimension filled with rather high number of design points. A remedy lying in a refined formulation of energy potential as well as its derivation and reasoning are presented.

English abstract

The presented paper investigates the effect of formulation of energy potential of a dynamical particle system as used for optimization of statistical point sampling. The dynamical particle system, originally developed as a physical analogy of the Audze-Eglajs (AE) optimization criterion and its periodical modification (PAE), effectively demonstrated that the originally proposed potential performs well only in poorly applicable scenarios of design spaces of low dimension filled with rather high number of design points. A remedy lying in a refined formulation of energy potential as well as its derivation and reasoning are presented.

Keywords

Particle dynamical system, statistical sampling optimization, periodic space, particle interaction laws, short- and long-range interactions, self-similar designs.

Key words in English

Particle dynamical system, statistical sampling optimization, periodic space, particle interaction laws, short- and long-range interactions, self-similar designs.

Authors

MAŠEK, J.; VOŘECHOVSKÝ, M.

RIV year

2018

Released

15.06.2017

Publisher

National Technical University of Athens

Location

Rhodes Island

ISBN

978-6-1882-8444-9

Book

UNCECOMP 2017 2nd ECCOMAS Thematic Conference on Uncertainty Quantification in Computational Sciences and Engineering

Pages from

467

Pages to

477

Pages count

11

URL

https://doi.org/10.7712/120217.5384.17000

BibTex

@inproceedings{BUT146057,
  author="Jan {Mašek} and Miroslav {Vořechovský}",
  title="FORMULATION OF POTENTIAL FOR DYNAMICAL PARTICLE SYSTEM APPLIED TO MONTE CARLO SAMPLING",
  booktitle="UNCECOMP 2017 2nd ECCOMAS Thematic Conference on
Uncertainty Quantification in Computational Sciences and Engineering",
  year="2017",
  pages="467--477",
  publisher="National Technical University of Athens",
  address="Rhodes Island",
  doi="10.7712/120217.5384.17000",
  isbn="978-6-1882-8444-9",
  url="https://doi.org/10.7712/120217.5384.17000"
}