On the calibration of survival models with competing risks

Fuente: arXiv
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Auteurs principaux: Alberge, Julie, Haugomat, Tristan, Varoquaux, Gaël, Abécassis, Judith
Format: Preprint
Publié: 2026
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author Alberge, Julie
Haugomat, Tristan
Varoquaux, Gaël
Abécassis, Judith
author_facet Alberge, Julie
Haugomat, Tristan
Varoquaux, Gaël
Abécassis, Judith
contents Survival analysis deals with modeling the time until an event occurs, and accurate probability estimates are crucial for decision-making, particularly in the competing-risks setting where multiple events are possible. While recent work has addressed calibration in standard survival analysis, the competing-risks setting remains under-explored as it is harder (the calibration applies to both probabilities across classes and time horizon). We show that existing calibration measures are not suited to the competing-risk setting and that recent models do not give well-behaved probabilities. To address this, we introduce a dedicated framework with two novel calibration measures that are minimized for oracle estimators (i.e., both measures are proper). We also introduce some methods to estimate, test, and correct the calibration. Our recalibration methods yield good probabilities while preserving discrimination.
format Preprint
id arxiv_https___arxiv_org_abs_2602_00194
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle On the calibration of survival models with competing risks
Alberge, Julie
Haugomat, Tristan
Varoquaux, Gaël
Abécassis, Judith
Methodology
Artificial Intelligence
Statistics Theory
Survival analysis deals with modeling the time until an event occurs, and accurate probability estimates are crucial for decision-making, particularly in the competing-risks setting where multiple events are possible. While recent work has addressed calibration in standard survival analysis, the competing-risks setting remains under-explored as it is harder (the calibration applies to both probabilities across classes and time horizon). We show that existing calibration measures are not suited to the competing-risk setting and that recent models do not give well-behaved probabilities. To address this, we introduce a dedicated framework with two novel calibration measures that are minimized for oracle estimators (i.e., both measures are proper). We also introduce some methods to estimate, test, and correct the calibration. Our recalibration methods yield good probabilities while preserving discrimination.
title On the calibration of survival models with competing risks
topic Methodology
Artificial Intelligence
Statistics Theory
url https://arxiv.org/abs/2602.00194