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Uncertainty quantification for neural operators remains an open problem in the infinite-dimensional setting due to the lack of finite-sample coverage guarantees over functional outputs. While conformal prediction offers finite-sample…

Machine Learning · Computer Science 2025-09-08 David Millard , Lars Lindemann , Ali Baheri

Conformal prediction is a statistical framework that generates prediction sets containing ground-truth labels with a desired coverage guarantee. The predicted probabilities produced by machine learning models are generally miscalibrated,…

Machine Learning · Computer Science 2024-06-07 Jianguo Huang , Huajun Xi , Linjun Zhang , Huaxiu Yao , Yue Qiu , Hongxin Wei

Methods to quantify uncertainty in predictions from arbitrary models are in demand in high-stakes domains like medicine and finance. Conformal prediction has emerged as a popular method for producing a set of predictions with specified…

Machine Learning · Computer Science 2025-03-19 Jessica Hullman , Yifan Wu , Dawei Xie , Ziyang Guo , Andrew Gelman

Conformal prediction (CP) converts any model's output to prediction sets with a guarantee to cover the true label with (adjustable) high probability. Robust CP extends this guarantee to worst-case (adversarial) inputs. Existing baselines…

Machine Learning · Computer Science 2025-03-10 Soroush H. Zargarbashi , Aleksandar Bojchevski

Conformal prediction offers a practical framework for distribution-free uncertainty quantification, providing finite-sample coverage guarantees under relatively mild assumptions on data exchangeability. However, these assumptions cease to…

Machine Learning · Statistics 2024-06-25 Derck W. E. Prinzhorn , Thijmen Nijdam , Putri A. van der Linden , Alexander Timans

We extend conformal prediction methodology beyond the case of exchangeable data. In particular, we show that a weighted version of conformal prediction can be used to compute distribution-free prediction intervals for problems in which the…

Methodology · Statistics 2020-07-08 Ryan J. Tibshirani , Rina Foygel Barber , Emmanuel J. Candes , Aaditya Ramdas

Conformal prediction is a powerful framework for constructing prediction sets with valid coverage guarantees in multi-class classification. However, existing methods often rely on a single score function, which can limit their efficiency…

Machine Learning · Statistics 2025-03-05 Rui Luo , Zhixin Zhou

Conformal prediction provides distribution-free coverage guaranties for regression; yet existing methods assume Euclidean output spaces and produce prediction regions that are poorly calibrated when responses lie on Riemannian manifolds. We…

Machine Learning · Computer Science 2026-02-19 Marzieh Amiri Shahbazi , Ali Baheri

Conformal prediction is a learning framework controlling prediction coverage of prediction sets, which can be built on any learning algorithm for point prediction. This work proposes a learning framework named conformal loss-controlling…

Machine Learning · Computer Science 2024-01-24 Di Wang , Ping Wang , Zhong Ji , Xiaojun Yang , Hongyue Li

Conformal prediction has emerged as a powerful framework for constructing distribution-free prediction sets with guaranteed coverage assuming only the exchangeability assumption. However, this assumption is often violated in online…

Machine Learning · Statistics 2025-11-07 Jungbin Jun , Ilsang Ohn

This paper introduces a framework for uncertainty quantification in regression models defined in metric spaces. Leveraging a newly defined notion of homoscedasticity, we develop a conformal prediction algorithm that offers finite-sample…

Machine Learning · Statistics 2025-07-22 Gábor Lugosi , Marcos Matabuena

Conformal prediction has emerged as an effective strategy for uncertainty quantification by modifying a model to output sets of labels instead of a single label. These prediction sets come with the guarantee that they contain the true label…

Machine Learning · Computer Science 2025-05-28 Haosen Ge , Hamsa Bastani , Osbert Bastani

Vovk (2015) introduced cross-conformal prediction, a modification of split conformal designed to improve the width of prediction sets. The method, when trained with a miscoverage rate equal to $\alpha$ and $n \gg K$, ensures a marginal…

Machine Learning · Statistics 2025-05-22 Matteo Gasparin , Aaditya Ramdas

Forecasts for uncertain future events should be probabilistic. Probabilistic forecasts are commonly issued as prediction intervals, which provide a measure of uncertainty in the unknown outcome whilst being easier to understand and…

Methodology · Statistics 2025-08-26 Sam Allen , Julia Burnello , Johanna Ziegel

Conformal prediction is a statistical tool for producing prediction regions for machine learning models that are valid with high probability. A key component of conformal prediction algorithms is a \emph{non-conformity score function} that…

Machine Learning · Computer Science 2025-03-06 Renukanandan Tumu , Matthew Cleaveland , Rahul Mangharam , George J. Pappas , Lars Lindemann

Conformal Prediction is a machine learning methodology that produces valid prediction regions under mild conditions. In this paper, we explore the application of making predictions over multiple data sources of different sizes without…

Machine Learning · Statistics 2018-06-15 Ola Spjuth , Lars Carlsson , Niharika Gauraha

We develop a predictive inference procedure that combines conformal prediction (CP) with unconditional quantile regression (QR) -- a commonly used tool in econometrics that involves regressing the recentered influence function (RIF) of the…

Machine Learning · Computer Science 2023-04-05 Ahmed M. Alaa , Zeshan Hussain , David Sontag

Conformal prediction (CP) has become a cornerstone of distribution-free uncertainty quantification, conventionally evaluated by its coverage and interval length. This work critically examines the sufficiency of these standard metrics. We…

Machine Learning · Statistics 2026-01-30 Yizhou Min , Yizhou Lu , Lanqi Li , Zhen Zhang , Jiaye Teng

Modern image classifiers are very accurate, but the predictions come without uncertainty estimates. Conformal predictors provide uncertainty estimates by computing a set of classes containing the correct class with a user-specified…

Machine Learning · Computer Science 2023-06-06 Fatih Furkan Yilmaz , Reinhard Heckel

We introduce $\textit{Backward Conformal Prediction}$, a method that guarantees conformal coverage while providing flexible control over the size of prediction sets. Unlike standard conformal prediction, which fixes the coverage level and…

Machine Learning · Statistics 2026-02-13 Etienne Gauthier , Francis Bach , Michael I. Jordan