Adaptive distributed methods under communication constraints

Authors
Botond Szabó Harry van Zanten
Citation
Botond Szabó et Harry Van Zanten, Adaptive distributed methods under communication constraints, Annals of statistics , 48(4), 2020, pp. 2347-2380
Journal title
Annals of statistics → ACNP
ISSN journal
00905364
Volume
48
Issue
4
Year of publication
2020
Pages
2347 - 2380
Database
ACNP
SICI code
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.