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Paper · arXiv

Monitoring for Shifts at Unknown Times: Parameter-Free Conditional Conformal Martingales

Conditional conformal test martingales provide sequential tests for detecting distribution shifts, using a fixed reference dataset to avoid contamination from test-time samples. Prior work used a penalized betting function via online optimization with smoothing, clipping, and other hyperparameters, which can adapt slowly when a shift occurs after a long stationary period. In this work, we introduce an approach that requires no hyperparameters and provably adapts quickly to shifts occurring at unknown times. Our key idea is to frame the penalized betting problem as portfolio selection in a three-asset market. Then, we use a restarting universal portfolio, with a heavy-tailed wealth allocat...

AuthorsTuo Liu, Drew Prinster, Francesco Orabona
Primary categorystat.ML
Published12 October 2026
Last updated at source12 October 2026
stat.MLcs.LG
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