© The Author(s), under exclusive license to APress Media, LLC, part of Springer Nature 2023
P. LiuBayesian Optimizationhttps://doi.org/10.1007/978-1-4842-9063-7_3

3. Bayesian Decision Theory and Expected Improvement

Peng Liu1  
(1)
Singapore, Singapore
 

The previous chapter used Gaussian processes (GP) as the surrogate model to approximate the underlying objective function. GP is a flexible framework that provides uncertainty estimates in the form of probability distributions over plausible functions across the entire domain. We could then resort to the closed-form posterior predictive distributions at proposed locations to obtain an educated guess on the potential observations.

However, it is not the only choice of surrogate model used in Bayesian ...

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