Adaptive Dimensionality Reduction for Fast Sequential Optimization With Gaussian Processes

Available computational models for many engineering design applications are both expensive and and of a black-box nature. This renders traditional optimization techniques difficult to apply, including gradient-based optimization and expensive heuristic approaches. For such situations, Bayesian globa...

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Veröffentlicht in:Journal of mechanical design (1990) 2019-07, Vol.141 (7)
Hauptverfasser: Ghoreishi, Seyede Fatemeh, Friedman, Samuel, Allaire, Douglas L
Format: Artikel
Sprache:eng
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Zusammenfassung:Available computational models for many engineering design applications are both expensive and and of a black-box nature. This renders traditional optimization techniques difficult to apply, including gradient-based optimization and expensive heuristic approaches. For such situations, Bayesian global optimization approaches, that both explore and exploit a true function while building a metamodel of it, are applied. These methods often rely on a set of alternative candidate designs over which a querying policy is designed to search. For even modestly high-dimensional problems, such an alternative set approach can be computationally intractable, due to the reliance on excessive exploration of the design space. To overcome this, we have developed a framework for the optimization of expensive black-box models, which is based on active subspace exploitation and a two-step knowledge gradient policy. We demonstrate our approach on three benchmark problems and a practical aerostructural wing design problem, where our method performs well against traditional direct application of Bayesian global optimization techniques.
ISSN:1050-0472
1528-9001
DOI:10.1115/1.4043202