Establishes a regret lower bound proving that polynomial effective optimism rules out minimax-optimal rates for GP-UCB on Matérn kernels under uniform confidence.
Lectures on Probability Theory and Statistics: Ecole d'Eté de Probabilités de Saint-Flour XXVIII - 1998, volume 1738 of Lecture Notes in Mathematics, 85--277 (Springer)
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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.