GBS step-down testing is sharply asymptotically minimax for sparse Gaussian sequences under Hamming and FDP+FNP losses over beta-min and heterogeneous signal classes.
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Sharp Asymptotic Minimaxity of the Gavrilov-Benjamini-Sarkar Step-Down Testing Procedure in Sparse Gaussian Sequence Models
GBS step-down testing is sharply asymptotically minimax for sparse Gaussian sequences under Hamming and FDP+FNP losses over beta-min and heterogeneous signal classes.