Bayesian optimization (BO) is a sequential approach for optimizing black-box objective functions using zeroth-order noisy observations.
To address the issue of model misspecification in BO, a localized online conformal prediction-based Bayesian optimization (LOCBO) algorithm is introduced.
LOCBO corrects the likelihood of the Gaussian process (GP) model through localized online conformal prediction, resulting in a calibrated posterior distribution on the objective function.
Experiments on synthetic and real-world optimization tasks confirm that LOCBO outperforms state-of-the-art BO algorithms in the presence of model misspecification.