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arxiv: 2509.03297 · v2 · submitted 2025-09-03 · 📊 stat.ME · stat.ML

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Feedback-Enhanced Online Multiple Testing with Applications to Conformal Selection

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classification 📊 stat.ME stat.ML
keywords conformalonlinetestingapplicationsfeedback-enhancedgaifmademodel
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We study online multiple testing with feedback, where decisions are made sequentially and the true state of the hypothesis is revealed after the decision has been made, either instantly or with a delay. We propose GAIF, a feedback-enhanced generalized alpha-investing framework that dynamically adjusts thresholds using revealed outcomes, ensuring finite-sample false discovery rate (FDR)/marginal FDR control. Extending GAIF to online conformal testing, we construct independent conformal $p$-values and introduce a feedback-driven model selection criterion to identify the best model/score, thereby improving statistical power. We demonstrate the effectiveness of our methods through numerical simulations and real-data applications.

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Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Beyond Fixed False Discovery Rates: Post-Hoc Conformal Selection with E-Variables

    cs.LG 2026-04 unverdicted novelty 7.0

    Post-hoc conformal selection creates a path of selection sets with estimated false discovery proportions, enabling data-driven adaptive FDR control with average reliability guarantees via e-variables and e-BH.