An asymptotic analysis of distributed nonparametric methods

Botond Szabó, Harry van Zanten.

Year: 2019, Volume: 20, Issue: 87, Pages: 1−30


Abstract

We investigate and compare the fundamental performance of several distributed learning methods that have been proposed recently. We do this in the context of a distributed version of the classical signal-in-Gaussian-white-noise model, which serves as a benchmark model for studying performance in this setting. The results show how the design and tuning of a distributed method can have great impact on convergence rates and validity of uncertainty quantification. Moreover, we highlight the difficulty of designing nonparametric distributed procedures that automatically adapt to smoothness.

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