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math.ST2026
Metric space valued Fréchet regression
László Györfi, Pierre Humbert, Batiste Le Bars
We consider the problem of estimating the Fréchet and conditional Fréchet mean from data taking values in separable metric spaces. Unlike Euclidean spaces, where well-established…
math.ST2025
Online selective conformal inference: adaptive scores, convergence rate and optimality
Pierre Humbert, Ulysse Gazin, Ruth Heller +1
In a supervised online setting, quantifying uncertainty has been proposed in the seminal work of \cite{gibbs2021adaptive}. For any given point-prediction algorithm, their method (A…
math.ST2024
Marginal and training-conditional guarantees in one-shot federated conformal prediction
Pierre Humbert, Batiste Le Bars, Aurélien Bellet +1
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-lev…