ADAPTIVE DISTRIBUTED METHODS UNDER COMMUNICATION CONSTRAINTS
成果类型：
Article
署名作者：
Szabo, Botond; van Zanten, Harry
署名单位：
Leiden University; Leiden University - Excl LUMC; Vrije Universiteit Amsterdam
刊物名称：
ANNALS OF STATISTICS
ISSN/ISSBN：
0090-5364
DOI：
10.1214/19-AOS1890
发表日期：
2020
页码：
2347-2380
关键词：
摘要：
We study estimation methods under communication constraints in a distributed version of the nonparametric random design regression model. We derive minimax lower bounds and exhibit methods that attain those bounds. Moreover, we show that adaptive estimation is possible in this setting.