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Paper · arXiv

How Many Initial Points Does Bayesian Optimization Need?

Bayesian Optimization (BO) generally begins with an initialization phase: a batch of $n_0$ uninformed evaluations. The choice of $n_0$ remains largely heuristic, and we empirically observe that the total cost (random initial points plus BO iterations needed to find the global optimum) is U-shaped in $n_0$, i.e., a practitioner wastes resources by selecting either too low or too high a value of $n_0$. We find this tradeoff persists across MLE, Bayesian MCMC, and exact GP hyperparameters, as well as across acquisition functions. Toward the latter, Thompson Sampling appears an exception, with both total cost and simple regret essentially $n_0$-agnostic, though higher in our experiments. We a...

AuthorsMujin Cheon, James Odgers, Dong-Yeun Koh et al.
Primary categorycs.LG
Published5 July 2026
Last updated at source5 July 2026
cs.LG
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