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Research PaperResearchia:202602.24030

Conformal Risk Control for Non-Monotonic Losses

Anastasios N. Angelopoulos

Abstract

Conformal risk control is an extension of conformal prediction for controlling risk functions beyond miscoverage. The original algorithm controls the expected value of a loss that is monotonic in a one-dimensional parameter. Here, we present risk control guarantees for generic algorithms applied to possibly non-monotonic losses with multidimensional parameters. The guarantees depend on the stability of the algorithm -- unstable algorithms have looser guarantees. We give applications of this tech...

Submitted: February 24, 2026Subjects: Statistics; Data Science

Description / Details

Conformal risk control is an extension of conformal prediction for controlling risk functions beyond miscoverage. The original algorithm controls the expected value of a loss that is monotonic in a one-dimensional parameter. Here, we present risk control guarantees for generic algorithms applied to possibly non-monotonic losses with multidimensional parameters. The guarantees depend on the stability of the algorithm -- unstable algorithms have looser guarantees. We give applications of this technique to selective image classification, FDR and IOU control of tumor segmentations, and multigroup debiasing of recidivism predictions across overlapping race and sex groups using empirical risk minimization.


Source: arXiv:2602.20151v1 - http://arxiv.org/abs/2602.20151v1 PDF: https://arxiv.org/pdf/2602.20151v1 Original Link: http://arxiv.org/abs/2602.20151v1

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Submission Info
Date:
Feb 24, 2026
Topic:
Data Science
Area:
Statistics
Comments:
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