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Bayesian Quality-Diversity optimization for conditional search-space problems

delete2025-11-01
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PRE
AI
L
Lucas Baraton *
A
Annafederica Urbano
L
Loïc Brevault
M
Mathieu Balesdent
DOI:10.1007/s11081-025-10041-wdelete
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Abstract

Abstract

En 中文
The preliminary design and optimization of aerospace systems often requires to make architectural and technological choices and to perform computationally expensive numerical simulations. In early design phases, the decision makers may be interested in obtaining a set of valuable solutions presenting a diversity of characteristics. This paper proposes two approaches tackling these challenges by formulating and solving a particular optimization problem. The latter is called Conditional Search-Space Problem because architectural and technological choices are represented by design variables, called conditional, which are acting on the structure of the optimization problem (e.g., number of design variables and constraints). To produce a broad diversity of solutions, Quality-Diversity (QD) algorithms adapted to deal with conditional variables and expensive functions are developed. The proposed methods consist in decomposing the optimization problem into several subproblems that have a non-conditional structure. A Bayesian optimization strategy coupled with a QD algorithm is used to search for potential solutions among the subproblems. The most performing potential solutions are then evaluated with the exact functions. The methodology is tested on two analytical and an aerospace system design problems.
Keywords:
Conditional search-space problem
Quality-diversity
Bayesian optimization
Mixed-variables optimization
Budget allocation strategy
Aerospace engineering

Journal

O
Optimization and Engineering
IF:
1.7
Papers:
74
Citations:
0

Organization

U
universite paris saclay
Scholars:
1.7K
Papers: 737
Citations: 0
U
universite de toulouse
Scholars:
3.5W
Papers: 2.7W
Citations: 37
Cited Papers

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