Establishes a regret lower bound proving that polynomial effective optimism rules out minimax-optimal rates for GP-UCB on Matérn kernels under uniform confidence.
Carlsson JG, ed., Emerging Optimization Methods and Modeling Techniques with Applications, 287--311, INFORMS TutORials in Operations Research (INFORMS)
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On the Suboptimality of GP-UCB under Polynomial Effective Optimism
Establishes a regret lower bound proving that polynomial effective optimism rules out minimax-optimal rates for GP-UCB on Matérn kernels under uniform confidence.