Empirical Bernstein calibrated confidence intervals achieve nominal coverage up to small remainders and minimax-optimal widths for nonparametric regression and density estimation under local smoothness assumptions.
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Safe and Sharp Honest Inference for Nonparametric Estimation via Empirical Bernstein Calibration
Empirical Bernstein calibrated confidence intervals achieve nominal coverage up to small remainders and minimax-optimal widths for nonparametric regression and density estimation under local smoothness assumptions.