论文标题
良性过度拟合和自适应非参数回归
Benign overfitting and adaptive nonparametric regression
论文作者
论文摘要
在非参数回归设置中,我们构建了一个估计器,该估计器是一个连续的函数,以高概率插值数据点,同时在Hölder类的规模上达到平均平方级风险下的最小值最佳速率,以适应未知的平滑度。
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.