Benign overfitting and adaptive nonparametric regression

Published 27 Jun 2022 in math.ST, cs.LG, stat.ML, and stat.TH | (2206.13347v1)

Abstract: In the nonparametric regression setting, we construct an estimator which is a continuous function interpolating the data points with high probability, while attaining minimax optimal rates under mean squared risk on the scale of H\"older classes adaptively to the unknown smoothness.

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