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  4. Aspects of adaptive hierarchical RBF metamodels for optimization
 
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2012
Journal Article
Title

Aspects of adaptive hierarchical RBF metamodels for optimization

Abstract
Radial basis functions (RBFs), among other techniques, are used to construct metamodels that approximate multi-objective expensive high-fidelity functions from a finite number of function evaluations (design of experiments, DoE). Radial basis functions can be applied if the DoE covers the parameter space in an arbitrary though uniform manner. Leave-one-out strategies allow for computing tolerance limits. The approximated value and a certain tolerance can be interpreted as expectation and variance of a random experiment. Thus, model improvement as described for Kriging models in the literature can in principal be applied to RBF-based metamodels, too. We describe our adaptive and hierarchical metamodelling approach that deals with the specific problems that such metamodel adaptions pose to R BF-based models. We also briefly discuss implementation details and first industrial test cases.
Author(s)
Bühren, Georg van
Hornung, Nils
Clees, Tanja  orcid-logo
Nikitina, Lialia  
Journal
Journal of computational methods in sciences and engineering : JCMSE  
DOI
10.3233/JCM-2012-0401
Language
English
Fraunhofer-Institut für Algorithmen und Wissenschaftliches Rechnen SCAI  
Keyword(s)
  • surrogate-based optimization

  • RBF interpolation

  • metamodel refinement

  • hierarchical metamodelling

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