Constrained multi-fidelity surrogate framework using Bayesian optimization with non-intrusive reduced-order basis

Hanane Khatouri, Tariq Benamara, Piotr Breitkopf, Jean Demange, Paul Feliot
2020 Advanced Modeling and Simulation in Engineering Sciences  
AbstractThis 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.
more » ... o 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.
doi:10.1186/s40323-020-00176-z fatcat:flwmfgmkqrfdfah2rsd3x5k6bu