Constrained multi-fidelity surrogate framework using Bayesian optimization with non-intrusive reduced-order basis
Open Access
- 12 November 2020
- journal article
- Published by Springer Science and Business Media LLC in Advanced Modeling and Simulation in Engineering Sciences
Abstract
This article addresses the problem of constrained derivative-free optimization in a multi-fidelity (or variable-complexity) framework using Bayesian optimization techniques. It is assumed that the objective and constraints involved in the optimization problem can be evaluated using either an accurate but time-consuming computer program or a fast lower-fidelity one. In this setting, the aim is to solve the optimization problem using as few calls to the high-fidelity program as possible. To this end, it is proposed to use Gaussian process models with trend functions built from the projection of low-fidelity solutions on a reduced-order basis synthesized from scarce high-fidelity snapshots. A study on the ability of such models to accurately represent the objective and the constraints and a comparison of two improvement-based infill strategies are performed on a representative benchmark test case.Keywords
Funding Information
- Association Nationale de la Recherche et de la Technologie (dd)
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