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A multi-objective bayesian optimization approach based on variable-fidelity multi-output metamodeling.
- Source :
-
Structural & Multidisciplinary Optimization . May2023, Vol. 66 Issue 5, p1-19. 19p. - Publication Year :
- 2023
-
Abstract
- Practical engineering problems are often involved multiple computationally expensive objectives. A promising strategy to alleviate the computational cost is the variable-fidelity metamodel-based multi-objective Bayesian optimization approach. However, the existing approaches are under the assumption of independent correlations across the multiple objectives by constructing a variable-fidelity metamodel for each objective, which may lose some useful information in a way. To facilitate the usage of the variable-fidelity metamodel-based multi-objective Bayesian optimization approach, a multi-objective Bayesian optimization approach based on variable-fidelity multi-output (VFMO) metamodeling is proposed in this paper. A variable-fidelity multi-output metamodeling approach is developed to model the multiple objectives jointly, which can capture the latent correlations across the multiple objectives and further enhance the optimization. Furthermore, a weighted expected hypervolume improvement acquisition function based on the VFMO metamodeling approach (VFMO-WEHVI) is proposed for multi-objective optimization. The weight coefficients are adaptively determined according to the information from the current metamodel, which allows a better tradeoff between global exploration and local exploitation. Moreover, the probability of feasibility is introduced to deal with multi-objective optimization problems with constraints. The effectiveness of the proposed approach is demonstrated using five analytical benchmark examples and the multi-objective optimization of a metamaterial vibration isolator. Results indicate that the proposed VFMO-WEHVI approach has the best overall performance compared with the state-of-the-art approaches. [ABSTRACT FROM AUTHOR]
- Subjects :
- *METAMATERIALS
*PROBABILITY theory
*ENGINEERING
*VIBRATION isolation
Subjects
Details
- Language :
- English
- ISSN :
- 1615147X
- Volume :
- 66
- Issue :
- 5
- Database :
- Academic Search Index
- Journal :
- Structural & Multidisciplinary Optimization
- Publication Type :
- Academic Journal
- Accession number :
- 163045696
- Full Text :
- https://doi.org/10.1007/s00158-023-03536-6