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 |
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Pages (from-to) | 2347-2380 |
Number of pages | 34 |
Journal | Annals of Statistics |
Volume | 48 |
Issue number | 4 |
DOIs | |
Publication status | Published - Aug 2020 |
Keywords
- Adaptation
- Communication constraints
- Distributed computation
- Minimax rates
- Nonparametric regression