BOO achieves exponentially decaying regret O(N^{-√N}) by combining Bayesian optimisation and partitioning-based optimistic optimisation for Matérn GP functions with ν > 4 + D/2.
We let node (h∗ p + 1,o∗) be the optimal node at depthh∗ p + 1
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Bayesian Optimistic Optimisation with Exponentially Decaying Regret
BOO achieves exponentially decaying regret O(N^{-√N}) by combining Bayesian optimisation and partitioning-based optimistic optimisation for Matérn GP functions with ν > 4 + D/2.