Emergent Mind

Adaptive distributed methods under communication constraints

(1804.00864)

Published Apr 3, 2018 in math.ST , stat.ML , and stat.TH

Abstract

We study distributed 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.

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