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Overview of Gaussian process based multi-fidelity techniques with variable relationship between fidelities, application to aerospace systems

Loïc Brevault 1 Mathieu Balesdent 1 Ali Hebbal 1, 2
2 BONUS - Optimisation de grande taille et calcul large échelle
Inria Lille - Nord Europe, CRIStAL - Centre de Recherche en Informatique, Signal et Automatique de Lille - UMR 9189
Abstract : The design process of complex systems such as new configurations of aircraft or launch vehicles is usually decomposed in different phases which are characterized by the depth of the analyses in terms of number of design variables and fidelity of the physical models. At each phase, the designers have to deal with accurate but computationally intensive models as well as cheap but inaccurate models. Multi-fidelity modeling is a way to merge different fidelity models to provide engineers with accurate results with a limited computational cost. Within the context of multi-fidelity modeling, approaches based on Gaussian Processes emerge as popular techniques to fuse information between the different fidelity models. The relationship between the fidelity models is a key aspect in multi-fidelity modeling. This paper provides an overview of Gaussian process-based multi-fidelity modeling techniques for variable relationship between the fidelity models (e.g., linearity, non-linearity, variable correlation). Each technique is described within a unified framework and the links between the different techniques are highlighted. All approaches are numerically compared on a series of analytical test cases and four aerospace related engineering problems in order to assess their benefits and disadvantages with respect to the problem characteristics.
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Submitted on : Monday, April 12, 2021 - 2:20:24 PM
Last modification on : Tuesday, January 4, 2022 - 6:50:38 AM
Long-term archiving on: : Tuesday, July 13, 2021 - 6:50:09 PM

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Loïc Brevault, Mathieu Balesdent, Ali Hebbal. Overview of Gaussian process based multi-fidelity techniques with variable relationship between fidelities, application to aerospace systems. Aerospace Science and Technology, Elsevier, 2020, 107, pp.106339. ⟨10.1016/j.ast.2020.106339⟩. ⟨hal-03046258⟩

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