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Benchmarking non-conformity score functions in conformal ...
[Submitted on 24 May 2026 (v1), last revised 10 Sep 2026 (this v · 2026-05-26 · via cs updates on arXiv.org

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Abstract:Conformal prediction is a useful and versatile alternative to model calibration in machine learning classification. It replaces single-class prediction with prediction sets, guaranteeing that the a priori probability of the prediction sets containing the true class is larger than or equal to a pre-specified rate. The size and usefulness of the prediction sets relies heavily on the choice of the non-conformity score function. The scientific literature contains many examples of non-conformity score functions but there is an absence of studies examining their properties and effectiveness. In this paper, we give an overview of properties of non-conformity score functions. We give examples of non-conformity score functions in the existing literature and introduce original modifications. We introduce an original method of evaluating the prediction set sizes of conformal predictors and use it to provide a comparison between non-conformity score functions. We also examine efficacy of different non-conformity score functions for class-conditional conformal prediction in a setting with imbalanced classes.

Submission history

From: Sol Erika Boman [view email]
[v1] Sun, 24 May 2026 10:21:42 UTC (108 KB)
[v2] Thu, 10 Sep 2026 12:07:14 UTC (182 KB)