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Regularized Infill Criteria for Multi-objective Bayesian Optimization with Application to Aircraft Design

Grapin, Robin and Diouane, Youssef and Morlier, Joseph and Bartoli, Nathalie and Lefebvre, Thierry and Saves, Paul and Bussemaker, Jasper H. Regularized Infill Criteria for Multi-objective Bayesian Optimization with Application to Aircraft Design. (2022) In: AIAA AVIATION 2022 Forum, 27 June 2022 - 1 July 2022 (CHICAGO, United States).

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Official URL: https://doi.org/10.2514/6.2022-4053


Bayesian optimization is an advanced tool to perform efficient global optimization. It consists on enriching iteratively surrogate Kriging models of the objective and the constraints (both supposed to be computationally expensive) of the targeted optimization problem. Nowadays, efficient extensions of Bayesian optimization to solve expensive multi-objective problems are of high interest. The proposed method, in this paper, extends the super efficient global optimization with mixture of experts (SEGOMOE) to solve constrained multi-objective problems. To cope with the ill-posedness of the multi-objective infill criteria, different enrichment procedures using regularization techniques are proposed. The merit of the proposed approaches are shown on known multi-objective benchmark problems with and without constraints. The proposed methods are then used to solve a bi-objective application related to conceptual aircraft design with five unknown design variables and three nonlinear inequality constraints. The prelimilnary results show a reduction of the total cost in terms of function evaluations by a factor of 20 compared to the evolutionary algorithm NSGA-II.

Item Type:Conference or Workshop Item (Paper)
Audience (conference):International conference proceedings
Uncontrolled Keywords:
Institution:French research institutions > Centre National de la Recherche Scientifique - CNRS (FRANCE)
Other partners > Ecole Polytechnique de Montréal (CANADA)
Université de Toulouse > Ecole nationale supérieure des Mines d'Albi-Carmaux - IMT Mines Albi (FRANCE)
Université de Toulouse > Institut National des Sciences Appliquées de Toulouse - INSA (FRANCE)
Université de Toulouse > Institut Supérieur de l'Aéronautique et de l'Espace - ISAE-SUPAERO (FRANCE)
French research institutions > Office National d'Etudes et Recherches Aérospatiales - ONERA (FRANCE)
Université de Toulouse > Université Toulouse III - Paul Sabatier - UT3 (FRANCE)
Other partners > Deutsches Zentrum für Luft- und Raumfahrt - DLR (GERMANY)
Laboratory name:
Deposited On:06 Jan 2023 09:10

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