Adaptive distributed methods under communication constraints

Botond Szabó; Harry van Zanten

doi:10.1214/19-AOS1890

Adaptive distributed methods under communication constraints

Botond Szabó, Harry van Zanten

Mathematics

Research output: Contribution to Journal › Article › Academic › peer-review

Abstract

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.

Original language	English
Pages (from-to)	2347-2380
Number of pages	34
Journal	Annals of Statistics
Volume	48
Issue number	4
DOIs	https://doi.org/10.1214/19-AOS1890
Publication status	Published - Aug 2020

Keywords

Adaptation
Communication constraints
Distributed computation
Minimax rates
Nonparametric regression

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title = "Adaptive distributed methods under communication constraints",

abstract = "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.",

keywords = "Adaptation, Communication constraints, Distributed computation, Minimax rates, Nonparametric regression",

author = "Botond Szab{\'o} and {van Zanten}, Harry",

year = "2020",

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language = "English",

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KW - Communication constraints

KW - Distributed computation

KW - Minimax rates

KW - Nonparametric regression

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