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arXiv 2206.13347math.STcs.LGstat.MLstat.TH

Benign overfitting and adaptive nonparametric regression

  • CREST-ENSAE(Crest-法国国立统计与经济管理学院)

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Julien Chhor, Suzanne Sigalla, Alexandre B. Tsybakov

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英文摘要:

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 Hölder classes adaptively to the unknown smoothness.

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