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Parametric Scaling Law of Tuning Bias in Conformal Prediction

  • Conformal prediction is a framework for uncertainty quantification that constructs prediction sets with coverage guarantees, often requiring a holdout set for parameter tuning.
  • Empirical findings suggest that the tuning bias, resulting from using the same dataset for tuning and calibration, is minimal for simple parameter tuning in many conformal prediction methods.
  • A scaling law for tuning bias is observed, showing that bias increases with parameter space complexity but decreases with calibration set size.
  • The study establishes a theoretical framework to quantify tuning bias, provides a proof for the scaling law, and discusses strategies to mitigate tuning bias based on the research findings.

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