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Conformal prediction provides a principled framework for uncertainty quantification with finite-sample coverage guarantees. While recent work has extended conformal prediction to online and sequential settings, existing methods typically…

Machine Learning · Statistics 2026-05-14 Eduardo Ochoa Rivera , Ambuj Tewari

Conformal prediction is a simple and powerful tool that can quantify uncertainty without any distributional assumptions. Many existing methods only address the average coverage guarantee, which is not ideal compared to the stronger…

Machine Learning · Statistics 2023-02-21 Xing Han , Ziyang Tang , Joydeep Ghosh , Qiang Liu

Conformal prediction gives exact finite-sample coverage guarantees under exchangeability, but deployed systems are judged by more than coverage alone. For a fixed calibrated rule reused over a finite operational window, stakeholders also…

Methodology · Statistics 2026-03-12 Petrus H. Zwart

While Conformal Prediction (CP) has proven to be a powerful framework for uncertainty quantification, guaranteeing conditional coverage remains a central challenge. Although finite-sample, distribution-free conditional validity is known to…

Methodology · Statistics 2026-05-27 Félix Laplante

Methods for split conformal prediction leverage calibration samples to transform any prediction rule into a set-prediction rule that complies with a target coverage probability. Existing methods provide remarkably strong performance…

Machine Learning · Statistics 2025-10-15 Santiago Mazuelas

Image segmentation is a challenging task influenced by multiple sources of uncertainty, such as the data labeling process or the sampling of training data. In this paper we focus on binary segmentation and address these challenges using…

Computer Vision and Pattern Recognition · Computer Science 2025-03-10 Luca Mossina , Corentin Friedrich

Uncertainty quantification in time series prediction is challenging due to the temporal dependence and distribution shift on sequential data. Conformal inference provides a pivotal and flexible instrument for assessing the uncertainty of…

Machine Learning · Statistics 2025-09-09 Junxi Wu , Dongjian Hu , Yajie Bao , Shu-Tao Xia , Changliang Zou

Conformal prediction is a popular uncertainty quantification method that augments a base predictor to return sets of predictions with statistically valid coverage guarantees. However, current methods are often computationally expensive and…

Machine Learning · Computer Science 2026-03-05 Laura Lützow , Michael Eichelbeck , Mykel J. Kochenderfer , Matthias Althoff

In the current insurance literature, prediction of insurance claims in the regression problem is often performed with a statistical model. This model-based approach may potentially suffer from several drawbacks: (i) model misspecification,…

Machine Learning · Statistics 2025-09-30 Liang Hong

We revisit the problem of constructing predictive confidence sets for which we wish to obtain some type of conditional validity. We provide new arguments showing how ``split conformal'' methods achieve near desired coverage levels with high…

Statistics Theory · Mathematics 2025-03-04 John C. Duchi

Split conformal prediction has recently sparked great interest due to its ability to provide formally guaranteed uncertainty sets or intervals for predictions made by black-box neural models, ensuring a predefined probability of containing…

Machine Learning · Computer Science 2024-01-29 António Farinhas , Chrysoula Zerva , Dennis Ulmer , André F. T. Martins

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 tool for constructing prediction intervals for black-box models, providing a finite sample coverage guarantee for exchangeable data. However, this exchangeability is compromised when some entries of the…

Machine Learning · Statistics 2025-05-09 Qian Peng , Yajie Bao , Haojie Ren , Zhaojun Wang , Changliang Zou

We give a finite-sample analysis of predictive inference procedures after model selection in regression with random design. The analysis is focused on a statistically challenging scenario where the number of potentially important…

Statistics Theory · Mathematics 2009-08-26 Hannes Leeb

Proper confidence calibration of deep neural networks is essential for reliable predictions in safety-critical tasks. Miscalibration can lead to model over-confidence and/or under-confidence; i.e., the model's confidence in its prediction…

Machine Learning · Computer Science 2023-08-08 Shuang Ao , Stefan Rueger , Advaith Siddharthan

This paper proposes probabilistic conformal prediction (PCP), a predictive inference algorithm that estimates a target variable by a discontinuous predictive set. Given inputs, PCP construct the predictive set based on random samples from…

Machine Learning · Statistics 2022-06-22 Zhendong Wang , Ruijiang Gao , Mingzhang Yin , Mingyuan Zhou , David M. Blei

Continual learning for large language models is typically evaluated through accuracy retention under sequential fine-tuning. We argue that this perspective is incomplete, because uncertainty reliability can degrade earlier and more sharply…

Machine Learning · Computer Science 2026-04-28 Ibne Farabi Shihab , Sanjeda Akter , Anuj Sharma

Conformal prediction provides a powerful framework for constructing distribution-free prediction regions with finite-sample coverage guarantees. While extensively studied in univariate settings, its extension to multi-output problems…

Machine Learning · Statistics 2025-02-04 Victor Dheur , Matteo Fontana , Yorick Estievenart , Naomi Desobry , Souhaib Ben Taieb

Conformal prediction has emerged as a cutting-edge methodology in statistics and machine learning, providing prediction intervals with finite-sample frequentist coverage guarantees. Yet, its interplay with Bayesian statistics, often…

Methodology · Statistics 2026-03-27 Nina Deliu , Brunero Liseo

We develop scalable methods for producing conformal Bayesian predictive intervals with finite sample calibration guarantees. Bayesian posterior predictive distributions, $p(y \mid x)$, characterize subjective beliefs on outcomes of…

Methodology · Statistics 2021-06-15 Edwin Fong , Chris Holmes
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