论文标题

随机设计对山脊回归的基本分析

An elementary analysis of ridge regression with random design

论文作者

Mourtada, Jaouad, Rosasco, Lorenzo

论文摘要

在本说明中,我们通过随机设计提供了脊回归的预测误差的基础分析。证明是简短而独立的。特别是,它通过交换性参数,矩阵扰动和操作员凸性的结合,绕过了鲁德森对协方差矩阵的偏差不平等的使用。

In this note, we provide an elementary analysis of the prediction error of ridge regression with random design. The proof is short and self-contained. In particular, it bypasses the use of Rudelson's deviation inequality for covariance matrices, through a combination of exchangeability arguments, matrix perturbation and operator convexity.

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