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Exploration-oriented sampling strategies for global surrogate modeling: A comparison between one-stage and adaptive methods

Lualdi, Pietro und Sturm, Ralf und Siefkes, Tjark (2022) Exploration-oriented sampling strategies for global surrogate modeling: A comparison between one-stage and adaptive methods. Journal of Computational Science. Elsevier. doi: 10.1016/j.jocs.2022.101603. ISSN 1877-7503.

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Offizielle URL: https://www.sciencedirect.com/science/article/abs/pii/S1877750322000357#!

Kurzfassung

Studying complex phenomena in detail by performing real experiments is often an unfeasible task. Virtual experiments using simulations are usually used to support the development process. However, numerical simulations are limited by their computational cost. Metamodeling techniques are commonly used to mimic the behavior of unknown solver functions, especially for expensive black box optimizations. If a good correlation between the surrogate model and the black box function is obtained, expensive numerical simulations can be significantly reduced. The sampling strategy, which selects a subset of samples that can adequately predict the behavior of expensive black box functions, plays an important role in the fidelity of the surrogate model. Achieving the desired metamodel accuracy with as few solver calls as possible is the main goal of global surrogate modeling. In this paper, exploration-oriented adaptive sampling strategies are compared with commonly used one-stage sampling approaches, such as Latin Hypercube Design (LHD). The difference in the quality of approximation is tested on benchmark functions from 2 up to 30 variables. Two novel sampling algorithms to get fine-grained quasi-LHDs will be proposed and an improvement to a well-known, pre-existing sequential input algorithm will be discussed. Finally, these methods are applied to a crash box design to investigate the performance when approximating highly non-linear crashworthiness problems. It is found that adaptive sampling approaches outperform one-stage methods both in terms of mathematical properties and in terms of metamodel accuracy in the majority of the tests. A proper stopping algorithm should also be employed with adaptive methods to avoid oversampling.

elib-URL des Eintrags:https://elib.dlr.de/187723/
Dokumentart:Zeitschriftenbeitrag
Titel:Exploration-oriented sampling strategies for global surrogate modeling: A comparison between one-stage and adaptive methods
Autoren:
AutorenInstitution oder E-Mail-AdresseAutoren-ORCID-iDORCID Put Code
Lualdi, PietroPietro.Lualdi (at) dlr.dehttps://orcid.org/0000-0001-9722-6185NICHT SPEZIFIZIERT
Sturm, RalfRalf.Sturm (at) dlr.deNICHT SPEZIFIZIERTNICHT SPEZIFIZIERT
Siefkes, TjarkTjark.Siefkes (at) dlr.deNICHT SPEZIFIZIERTNICHT SPEZIFIZIERT
Datum:19 Februar 2022
Erschienen in:Journal of Computational Science
Referierte Publikation:Ja
Open Access:Nein
Gold Open Access:Nein
In SCOPUS:Ja
In ISI Web of Science:Ja
DOI:10.1016/j.jocs.2022.101603
Verlag:Elsevier
ISSN:1877-7503
Status:veröffentlicht
Stichwörter:Exploration sampling strategies, Adaptive sampling methods, Global surrogate modelling, Crashworthiness optimization
HGF - Forschungsbereich:Luftfahrt, Raumfahrt und Verkehr
HGF - Programm:Verkehr
HGF - Programmthema:Straßenverkehr
DLR - Schwerpunkt:Verkehr
DLR - Forschungsgebiet:V ST Straßenverkehr
DLR - Teilgebiet (Projekt, Vorhaben):V - FFAE - Fahrzeugkonzepte, Fahrzeugstruktur, Antriebsstrang und Energiemanagement
Standort: Stuttgart
Institute & Einrichtungen:Institut für Fahrzeugkonzepte > Fahrzeugarchitekturen und Leichtbaukonzepte
Hinterlegt von: Lualdi, Pietro
Hinterlegt am:04 Aug 2022 13:38
Letzte Änderung:29 Mär 2023 00:02

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