Adaptive distributed methods under communication constraints

Botond Szabó, Harry van Zanten

Research output: Contribution to JournalArticleAcademicpeer-review


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 languageEnglish
Pages (from-to)2347-2380
Number of pages34
JournalAnnals of Statistics
Issue number4
Publication statusPublished - Aug 2020


  • Adaptation
  • Communication constraints
  • Distributed computation
  • Minimax rates
  • Nonparametric regression


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