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Loop functions determine the behavior of the Bayesian Optimization algorithm on a global level. For an overview of readily available loop functions, see

In general, a loop function is simply a decorated member of the S3 class loop_function. Attributes must include: id (id of the loop function), label (brief description), instance ("single-crit" and or "multi_crit"), and man (link to the manual page).

As an example, see, e.g., bayesopt_ego.