Targeting Solutions in Bayesian Multi-Objective Optimization: Sequential and Batch Versions

David Gaudrie 1, 2, 3, 4, 5 Rodolphe Le Riche 5, 1, 6, 3, 4 Victor Picheny 7 Benoit Enaux 2 Vincent Herbert 2
1 Mines Saint-Étienne MSE - École des Mines de Saint-Étienne
2 PSA - PSA Peugeot - Citroën
3 FAYOL-ENSMSE - Institut Henri Fayol
4 FAYOL-ENSMSE - Département Génie mathématique et industriel
5 LIMOS - Laboratoire d'Informatique, de Modélisation et d'Optimisation des Systèmes
6 LCG-ENSMSE - UMR 5146 - Laboratoire Claude Goux
7 INRA Toulouse - Institut national de la recherche agronomique [Toulouse]
Abstract : Multi-objective optimization aims at finding trade-off solutions to conflicting objectives. These constitute the Pareto optimal set. In the context of expensive-to-evaluate functions, it is impossible and often non-informative to look for the entire set. As an end-user would typically prefer a certain part of the objective space, we modify the Bayesian multi-objective optimization algorithm which uses Gaussian Processes to maximize the Expected Hypervolume Improvement, to focus the search in the preferred region. The cumulated effects of the Gaussian Processes and the targeting strategy lead to a particularly efficient convergence to the desired part of the Pareto set. To take advantage of parallel computing, a multi-point extension of the targeting criterion is proposed and analyzed.
Keywords : Gaussian processes Bayesian optimization Computer experiments Preference-based optimization Parallel optimization
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Journal articles
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https://hal-emse.ccsd.cnrs.fr/emse-01957614
Contributor : Florent Breuil <>
Submitted on : Monday, December 17, 2018 - 2:34:22 PM
Last modification on : Thursday, October 17, 2019 - 12:36:13 PM

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David Gaudrie, Rodolphe Le Riche, Victor Picheny, Benoit Enaux, Vincent Herbert. Targeting Solutions in Bayesian Multi-Objective Optimization: Sequential and Batch Versions. Annals of Mathematics and Artificial Intelligence, Springer Verlag, 2019, pp 1-26. ⟨10.1007/s10472-019-09644-8⟩. ⟨emse-01957614⟩

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