Efficient median of means estimator

Published: 2023, Last Modified: 07 May 2026COLT 2023EveryoneRevisionsBibTeXCC BY-SA 4.0
Abstract: The goal of this note is to present a modification of the popular median of means estimator that achieves sub-Gaussian deviation bounds with nearly optimal constants under minimal assumptions on the underlying distribution. We build on a recent work on the topic and prove that desired guarantees can be attained under weaker requirements.
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