The DACBO Benchmark

Task: dynamically control acquisition function parameters during Bayesian optimization
Cost: symlog regret relative to a reference SMAC3 BlackBoxFacade optimizer
Number of hyperparameters to control: one float (WEI α by default), or discrete acquisition function selection
State Information: UBR difference, EI acquisition value, PI acquisition value, previous parameter
Noise Level: moderate, depending on the BBOB target function
Instance space: BBOB benchmark functions (20 functions × 3 seeds by default)

Bayesian Optimization (BO) uses a surrogate model — typically a Gaussian Process — and an acquisition function to decide which configuration to evaluate next. The acquisition function trades off exploration and exploitation, and its behaviour depends heavily on one or more parameters (e.g. the exploration weight ξ for EI/PI or β for UCB). Rather than fixing these parameters ahead of time, the DACBO benchmark frames their adjustment as a DAC problem: at each BO trial the agent observes the current state of the optimizer and outputs a new parameter value (or selects a different acquisition function entirely).

Each episode runs one full BO run on a single BBOB function / seed pair drawn from the instance set. In every step the agent provides an action, the optimizer performs one BO trial (ask / evaluate / tell), and the environment returns an observation and reward. The initial design is executed automatically during reset(), so the agent only controls the acquisition phase. Episodes end when all trials are exhausted (truncated). Optionally, early termination (terminated) can be enabled via terminate_after_reference_performance_reached=True, which ends an episode as soon as the incumbent surpasses the reference performance threshold.

The default reward is symlog regret: the difference between the current incumbent cost and the reference performance, passed through a symmetric log transform. This makes the reward comparable across BBOB functions whose objective values live on very different scales. Alternative reward signals — including raw incumbent cost, incumbent improvement, and AUC of the optimization trajectory — can be selected via reward_keys. The default action space tunes the WEI α parameter continuously; AcqFunctionActionSpace can be used instead for discrete acquisition function selection among EI, PI, and UCB.

The DACBO benchmark was originally developed by Carolin Benjamins as the dacboenv package and has been integrated into DACBench. A publication is forthcoming.