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

Authors: Grapin, Robin; Diouane, Youssef; Morlier, Joseph; Bartoli, Nathalie; Lefebvre, Thierry; Saves, Paul; Bussemaker, Jasper;

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

Abstract

Bayesian optimization is an advanced tool to perform ecient 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 multiobjective 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 multiobjective problems To cope with the illposedness of the multiobjective inll criteria different enrichment procedures using regularization techniques are proposed The merit of the proposed approaches are shown on known multiobjective benchmark problems with and without constraints The proposed methods are then used to solve a biobjective application related to conceptual aircraft design with ve unknown design variables and three nonlinear inequality constraints The preliminary 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.

AIAA AVIATION 2022 Forum

Keywords

FOS: Computer and information sciences, Computer Science - Machine Learning, Bayesian Optimization, [SPI] Engineering Sciences [physics], Aircraft Design, Mathematics - Statistics Theory, [MATH] Mathematics [math], Statistics Theory (math.ST), [INFO] Computer Science [cs], Multi-Objective, Statistics - Applications, OPTIMISATION MULTIOBJECTIF, [PHYS] Physics [physics], Machine Learning (cs.LG), Mécanique des structures, Kriging, FOS: Mathematics, Applications (stat.AP), I-GAIA, OPTIMISATION BAYESIENNE, Bayesian optimization

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
7
Top 10%
Average
Top 10%
Green