Conformal Risk Control for Non-Monotonic Losses

Fuente: arXiv
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Autore principale: Angelopoulos, Anastasios N.
Natura: Preprint
Pubblicazione: 2026
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author Angelopoulos, Anastasios N.
author_facet Angelopoulos, Anastasios N.
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2602_20151
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Conformal Risk Control for Non-Monotonic Losses
Angelopoulos, Anastasios N.
Methodology
Machine Learning
Statistics Theory
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.
title Conformal Risk Control for Non-Monotonic Losses
topic Methodology
Machine Learning
Statistics Theory
url https://arxiv.org/abs/2602.20151