Abstract
In many engineering design problems, the objective and constraints depend on the state: the solution of a PDE determined by the design parameters. We consider improving a design while holding selected state observables near trusted values, which we call state preservation constraints. Constrained Bayesian optimisation handles these with a learnt feasibility model, but struggles with this problem's highly anisotropic feasible set. Our central idea is to pre-compute the set of controls whose linearised constraint response stays within tolerance, thereby pulling back the state-space constraint into design space. This linearisation defines an ellipsoid from which we can efficiently draw a large number of well-spread candidates. The underlying linear response map is refined online, and the ellipsoid is rebuilt accordingly. We demonstrate the method end-to-end on our key application - Tokamak divertor optimisation under plasma-boundary preservation.
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Publication details
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- Open access
- Green open access
Cite this article
APA 7
Diaz-Aylwin, G., Gopakumar, V., Myatra, O., Moulton, D., Zanisi, L., Leslie, D. S., & Moss, H. B. (2026). Bayesian Optimisation under State-Preservation Constraints. https://omanscience.com/en/articles/bayesian-optimisation-under-state-preservation-constraints
MLA 9
Diaz-Aylwin, Gabriel, et al. "Bayesian Optimisation under State-Preservation Constraints." https://omanscience.com/en/articles/bayesian-optimisation-under-state-preservation-constraints.
Chicago (author–date)
Diaz-Aylwin, Gabriel, Vignesh Gopakumar, Omkar Myatra, David Moulton, Lorenzo Zanisi, David S. Leslie, and Henry B. Moss. 2026. "Bayesian Optimisation under State-Preservation Constraints." https://omanscience.com/en/articles/bayesian-optimisation-under-state-preservation-constraints.
Harvard
Diaz-Aylwin, G., Gopakumar, V., Myatra, O., Moulton, D., Zanisi, L., Leslie, D. S. and Moss, H. B. (2026) 'Bayesian Optimisation under State-Preservation Constraints', Available at: https://omanscience.com/en/articles/bayesian-optimisation-under-state-preservation-constraints.
Vancouver
Diaz-Aylwin G, Gopakumar V, Myatra O, Moulton D, Zanisi L, Leslie DS, et al. Bayesian Optimisation under State-Preservation Constraints. https://omanscience.com/en/articles/bayesian-optimisation-under-state-preservation-constraints
IEEE
G. Diaz-Aylwin, V. Gopakumar, O. Myatra, D. Moulton, L. Zanisi, D. S. Leslie, and H. B. Moss, "Bayesian Optimisation under State-Preservation Constraints," https://omanscience.com/en/articles/bayesian-optimisation-under-state-preservation-constraints.