Bayesian optimization of variable-size design space problems - Archive ouverte HAL
Article Dans Une Revue Optimization and Engineering Année : 2021

Bayesian optimization of variable-size design space problems

Résumé

Within the framework of complex system design, it is often necessary to solve mixed variable optimization problems, in which the objective and constraint functions can depend simultaneously on continuous and discrete variables. Additionally, complex system design problems occasionally present a variable-size design space. This results in an optimization problem for which the search space varies dynamically (with respect to both number and type of variables) along the optimization process as a function of the values of specific discrete decision variables. Similarly, the number and type of constraints can vary as well. In this paper, two alternative Bayesian optimization-based approaches are proposed in order to solve this type of optimization problems. The first one consists of a budget allocation strategy allowing to focus the computational budget on the most promising design sub-spaces. The second approach, instead, is based on the definition of a kernel function allowing to compute the covariance between samples characterized by partially different sets of variables. The results obtained on analytical and engineering related test-cases show a faster and more consistent convergence of both proposed methods with respect to the standard approaches.

Dates et versions

hal-03247618 , version 1 (03-06-2021)

Identifiants

Citer

Julien Pelamatti, Loïc Brevault, Mathieu Balesdent, El-Ghazali Talbi, Yannick Guerin. Bayesian optimization of variable-size design space problems. Optimization and Engineering, 2021, 22 (1), pp.387-447. ⟨10.1007/s11081-020-09520-z⟩. ⟨hal-03247618⟩
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