Detail publikace

LOCALIZED APPROXIMATIONS BY POLYNOMIAL CHAOS EXPANSIONS FOR HIGHLY NON-LINEAR FUNCTIONS

NOVÁK, L. SHIELDS, M. SADÍLEK, V. VOŘECHOVSKÝ, M.

Originální název

LOCALIZED APPROXIMATIONS BY POLYNOMIAL CHAOS EXPANSIONS FOR HIGHLY NON-LINEAR FUNCTIONS

Typ

článek ve sborníku ve WoS nebo Scopus

Jazyk

angličtina

Originální abstrakt

The paper presents a strategy for adaptive sequential decomposition of the design domain and for localized surrogate modeling via polynomial chaos expansion. The proposed method combines adaptivity of localized surrogate modeling and sequential sampling. The iteration process of the decomposition and sequential sampling balances between exploitation of the surrogate model and exploration of the design domain. The proposed methodology is especially beneficial for highly non-linear functions, which are extremely challenging for and approximation by polynomial chaos expansion. The obtained numerical results confirm its superiority over a single global surrogate model and a recently proposed technique based on similar concepts.

Klíčová slova

Adaptive Sampling; Polynomial Chaos Expansion; Sequential Sampling

Autoři

NOVÁK, L.; SHIELDS, M.; SADÍLEK, V.; VOŘECHOVSKÝ, M.

Vydáno

12. 6. 2023

Nakladatel

National Technical University of Athens

Místo

Athens, Greece

ISBN

9786185827021

Kniha

UNCECOMP 2023 Proceedings

Strany od

158

Strany do

164

Strany počet

7

BibTex

@inproceedings{BUT187085,
  author="Lukáš {Novák} and Michael {Shields} and Václav {Sadílek} and Miroslav {Vořechovský}",
  title="LOCALIZED APPROXIMATIONS BY POLYNOMIAL CHAOS EXPANSIONS FOR HIGHLY NON-LINEAR FUNCTIONS",
  booktitle="UNCECOMP 2023 Proceedings",
  year="2023",
  pages="158--164",
  publisher="National Technical University of Athens",
  address="Athens, Greece",
  isbn="9786185827021"
}