arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2102.02525cs.ITmath.IT
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带边信息的分布式均值估计通信效率的改进

Improved Communication Efficiency for Distributed Mean Estimation with Side Information

Kai Liang, Youlong Wu

摘要:

在本文中,我们考虑分布式均值估计问题,其中服务器可以访问一些边信息,例如,其本地计算的均值估计或由分布式客户端在先前迭代发送的接收信息。我们基于Mayekar等人提出的r比特Wynzer-Ziv估计器提出了一个实用而有效的估计器,这不需要对数据进行概率假设。不同于Mayekar的工作,只利用在服务器端的边信息,我们的计划联合利用客户端的数据和服务器端的边信息之间的相关性,以及不同客户端的数据之间。我们推导出所提出的估计器的估计误差的上界。在此上界的基础上,我们给出了两种选择估计器输入参数的算法。最后,我们的估计是优于前一个参数区域的特点。

英文摘要:

In this paper, we consider the distributed mean estimation problem where the server has access to some side information, e.g., its local computed mean estimation or the received information sent by the distributed clients at the previous iterations. We propose a practical and efficient estimator based on an r-bit Wynzer-Ziv estimator proposed by Mayekar et al., which requires no probabilistic assumption on the data. Unlike Mayekar's work which only utilizes side information at the server, our scheme jointly exploits the correlation between clients' data and server' s side information, and also between data of different clients. We derive an upper bound of the estimation error of the proposed estimator. Based on this upper bound, we provide two algorithms on how to choose input parameters for the estimator. Finally, parameter regions in which our estimator is better than the previous one are characterized.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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