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Bibliographic Details
Main Authors: Principato, Guillaume, Stoltz, Gilles
Format: Preprint
Published: 2025
Subjects:
Online Access:https://arxiv.org/abs/2510.15824
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Table of Contents:
  • We study conformal inference in non-exchangeable environments through the lens of Blackwell's theory of approachability. We first recast adaptive conformal inference (ACI, Gibbs and Candès, 2021) as a repeated two-player vector-valued finite game and characterize attainable coverage--efficiency tradeoffs. We then construct coverage and efficiency objectives under potential restrictions on the adversary's play, and design a calibration-based approachability strategy to achieve these goals. The resulting algorithm enjoys strong theoretical guarantees and provides practical insights, though its computational burden may limit deployment in practice.