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Marginal and training-conditional guarantees in one-shot federated conformal prediction
May 22, 2024, 4:46 a.m. | Pierre Humbert (LMO, CELESTE), Batiste Le Bars (ARGO, DI-ENS), Aur\'elien Bellet (PREMEDICAL, UM), Sylvain Arlot (LMO, CELESTE, IUF)
stat.ML updates on arXiv.org arxiv.org
Abstract: We study conformal prediction in the one-shot federated learning setting. The main goal is to compute marginally and training-conditionally valid prediction sets, at the server-level, in only one round of communication between the agents and the server. Using the quantile-of-quantiles family of estimators and split conformal prediction, we introduce a collection of computationally-efficient and distribution-free algorithms that satisfy the aforementioned requirements. Our approaches come from theoretical results related to order statistics and the analysis of …
abstract agents arxiv communication compute family federated learning math.st prediction quantile server split stat.ml stat.th study training type
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