论文标题

简单证明风险限制的因指数重量的不对称噪声分布而定义的风险

Simple proof of the risk bound for denoising by exponential weights for asymmetric noise distributions

论文作者

Dalalyan, Arnak S.

论文摘要

在本说明中,我们考虑了估计器聚集的问题,以使信号降低信号。主要的贡献是一个简短的证明,即指数加权的骨料满足尖锐的甲骨文不平等现象。尽管该结果以广泛的对称噪声分布而闻名,但本注释中介绍的不对称分布的扩展是新的。

In this note, we consider the problem of aggregation of estimators in order to denoise a signal. The main contribution is a short proof of the fact that the exponentially weighted aggregate satisfies a sharp oracle inequality. While this result was already known for a wide class of symmetric noise distributions, the extension to asymmetric distributions presented in this note is new.

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