Abstract
Bayesian optimisation is the natural tool for shape design when objectives are expensive and non-differentiable, but it needs a compact yet expressive parameterisation of the search space. Hand-crafting one is a complex endeavour requiring domain expertise, and often yields implicit infeasible regions, artificial bounds, and coupled, unordered coordinates. We instead learn the parameterisation from a collection of existing designs, applying principal component analysis to the deformations between shapes. The result is a linear, interpretable search space in which the number of components explicitly trades expressivity against dimensionality. Across aerofoils, wings, and radio-frequency cavities, spanning 2D geometry to 3D aerodynamics and electromagnetics, we show improved sample efficiency and the ability to explore beyond the confines of hand-crafted baselines.
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Publication details
- Journal
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- Open access
- Green open access
Cite this article
APA 7
Diaz-Aylwin, G., Neighbor, J., Talwar, A. M., Zhang, R. Y., & Moss, H. B. (2026). Example-driven Parametrisations for Bayesian Shape Optimisation. https://omanscience.com/en/articles/example-driven-parametrisations-for-bayesian-shape-optimisation
MLA 9
Diaz-Aylwin, Gabriel, et al. "Example-driven Parametrisations for Bayesian Shape Optimisation." https://omanscience.com/en/articles/example-driven-parametrisations-for-bayesian-shape-optimisation.
Chicago (author–date)
Diaz-Aylwin, Gabriel, Joseph Neighbor, Abiel Malkani Talwar, Rui-Yang Zhang, and Henry B. Moss. 2026. "Example-driven Parametrisations for Bayesian Shape Optimisation." https://omanscience.com/en/articles/example-driven-parametrisations-for-bayesian-shape-optimisation.
Harvard
Diaz-Aylwin, G., Neighbor, J., Talwar, A. M., Zhang, R. Y. and Moss, H. B. (2026) 'Example-driven Parametrisations for Bayesian Shape Optimisation', Available at: https://omanscience.com/en/articles/example-driven-parametrisations-for-bayesian-shape-optimisation.
Vancouver
Diaz-Aylwin G, Neighbor J, Talwar AM, Zhang RY, Moss HB. Example-driven Parametrisations for Bayesian Shape Optimisation. https://omanscience.com/en/articles/example-driven-parametrisations-for-bayesian-shape-optimisation
IEEE
G. Diaz-Aylwin, J. Neighbor, A. M. Talwar, R. Y. Zhang, and H. B. Moss, "Example-driven Parametrisations for Bayesian Shape Optimisation," https://omanscience.com/en/articles/example-driven-parametrisations-for-bayesian-shape-optimisation.