Calibration Count Reuse: Validity Does Not Determine Efficiency
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Abstract (arXiv)
Calibration count reuse raises separate validity and efficiency questions. We give a validity criterion for general count-dependent nonconformity scores: transferring one count from another class to the scored class must not improve its conformity. A leave-self-out full conformal reference proves the criterion without requiring normalization or preservation of same-class score order. For a common separable transformation, universal exchangeable validity is equivalent to being nondecreasing in the count, provided Kα ≥ 1; normalized multiplicative weights obey the complementary nonincreasing condition. Additive penalties are covered under the stated information restrictions. Efficiency has no parallel ordering: two iid constructions make the same valid rule improve or worsen expected size at unchanged coverage. An expanded 55-rule study finds no resolved advantage from selected live-count rules over uniform weights. Image studies identify undercoverage under iid resampling, including at numerical convergence. Separately, execution of the released Conf-OT pipeline on its DTD and Aircraft benchmark subsets produces near-nominal median coverage under fixed stratified counts. The native results are reported separately from the iid analyses, without treating a benchmark observation as a universal guarantee. The findings separate validity, classifier confidence, numerical convergence, and population-specific efficiency.
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References · 18
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- 2021Stable Conformal Prediction Setscited by 19
- 2025Conformal Prediction for Zero-Shot Modelscited by 15
6 more
- 2024Conformal prediction after data-dependent model selectioncited by 14
- 2025Full Conformal Adaptation of Medical Vision-Language Modelscited by 9
- 2025Trustworthy Few-Shot Transfer of Medical VLMs through Split Conformal Predictioncited by 8
- 2025Parametric Scaling Law of Tuning Bias in Conformal Predictioncited by 7
- 2025Conformal Prediction Meets Long-tail Classificationcited by 5
- 2025Conformal Inference for Open-Set and Imbalanced Classificationcited by 3
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