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arxiv: 1804.00864 · v2 · pith:PYMXIZRSnew · submitted 2018-04-03 · 🧮 math.ST · stat.ML· stat.TH

Adaptive distributed methods under communication constraints

classification 🧮 math.ST stat.MLstat.TH
keywords distributedmethodsadaptiveboundscommunicationconstraintsestimationunder
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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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