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Conformal prediction (CP) produces prediction regions with finite-sample, distribution free coverage guarantees, but its interpretation as a quantitative uncertainty tool is often left implicit. We develop a category-theoretic approach that…

Machine Learning · Statistics 2026-05-05 Michele Caprio

Conformal prediction methodology has recently been extended to the covariate shift setting, where the distribution of covariates differs between training and test data. While existing results ensure that the prediction sets from these…

Machine Learning · Statistics 2026-02-09 Mehrdad Pournaderi , Yu Xiang

We propose a conformal prediction method for constructing tight simultaneous prediction intervals for multiple, potentially related, numerical outputs given a single input. This method can be combined with any multi-target regression model…

Methodology · Statistics 2025-12-18 Yunjie Fan , Matteo Sesia

Ordinal classification has been widely applied in many high-stakes applications, e.g., medical imaging and diagnosis, where reliable uncertainty quantification (UQ) is essential for decision making. Conformal prediction (CP) is a general UQ…

Machine Learning · Computer Science 2025-11-24 Zijian Zhang , Xinyu Chen , Yuanjie Shi , Liyuan Lillian Ma , Zifan Xu , Yan Yan

Conformal prediction is a theoretically grounded framework for constructing predictive intervals. We study conformal prediction with missing values in the covariates -- a setting that brings new challenges to uncertainty quantification. We…

Machine Learning · Statistics 2023-06-06 Margaux Zaffran , Aymeric Dieuleveut , Julie Josse , Yaniv Romano

Conformal prediction provides a distribution-free framework for uncertainty quantification. This study explores the application of conformal prediction in scenarios where covariates are missing, which introduces significant challenges for…

Methodology · Statistics 2025-09-09 Jingsen Kong , YIming Liu , Guangren Yang

Although conformal prediction provides robust marginal coverage guarantees, achieving reliable conditional coverage for specific inputs remains challenging. While exact distribution-free conditional coverage is impossible with finite…

Machine Learning · Computer Science 2026-05-20 Qianyi Chen , Bo Li

Split sample methods have recently been put forward as a way to reduce the coverage oscillations that haunt confidence intervals for parameters of lattice distributions, such as the binomial and Poisson distributions. We study split sample…

Methodology · Statistics 2015-03-11 Måns Thulin

Conformal Prediction (CP) is a distribution-free method for constructing prediction sets with marginal finite-sample coverage guarantees, making it a suitable framework for reliable uncertainty quantification in safety-critical object…

Computer Vision and Pattern Recognition · Computer Science 2026-05-11 Christopher Ries , Moussa Kassem Sbeyti , Nicolas Bianco , Nadja Klein

We develop a method to generate prediction sets with a guaranteed coverage rate that is robust to corruptions in the training data, such as missing or noisy variables. Our approach builds on conformal prediction, a powerful framework to…

Machine Learning · Computer Science 2025-01-10 Shai Feldman , Yaniv Romano

We develop methods for forming prediction sets in an online setting where the data generating distribution is allowed to vary over time in an unknown fashion. Our framework builds on ideas from conformal inference to provide a general…

Methodology · Statistics 2021-12-10 Isaac Gibbs , Emmanuel Candès

We consider the problem of conditional density estimation, which is a major topic of interest in the fields of statistical and machine learning. Our method, called Marginal Contrastive Discrimination, MCD, reformulates the conditional…

Machine Learning · Statistics 2026-01-05 Katia Meziani , Aminata Ndiaye , Benjamin Riu

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

Bayesian conformal optimisation methods often use the same held-out data both to search for efficient prediction sets and to certify coverage or risk. This coupling is natural for high-probability risk-control guarantees, but it is not…

Machine Learning · Computer Science 2026-05-19 Fanyi Wu , Lihua Niu , Samuel Kaski , Michele Caprio

It is well known that it is impossible to construct useful confidence intervals (CIs) about the mean or median of a response $Y$ conditional on features $X = x$ without making strong assumptions about the joint distribution of $X$ and $Y$.…

Methodology · Statistics 2024-01-29 Jayoon Jang , Emmanuel Candès

Conformal Prediction provides distribution-free prediction intervals with guaranteed coverage, but its reliance on a single global calibration threshold obscures the sources of uncertainty at the instance level. In particular, it conflates…

In demographic literature, forecast uncertainty is often quantified with a statistical model. This model-based approach may potentially suffer from drawbacks, namely model misspecification, selection effect, and lack of finite-sample…

Applications · Statistics 2026-05-29 Han Lin Shang

We begin by introducing a class of conditional density estimators based on local polynomial techniques. The estimators are boundary adaptive and easy to implement. We then study the (pointwise and) uniform statistical properties of the…

Statistics Theory · Mathematics 2023-12-19 Matias D. Cattaneo , Rajita Chandak , Michael Jansson , Xinwei Ma

This paper introduces a conformal inference method to evaluate uncertainty in classification by generating prediction sets with valid coverage conditional on adaptively chosen features. These features are carefully selected to reflect…

Machine Learning · Statistics 2024-10-31 Yanfei Zhou , Matteo Sesia

We introduce Volume-Sorted Prediction Set (VSPS), a novel method for uncertainty quantification in multi-target regression that uses conditional normalizing flows with conformal calibration. This approach constructs flexible, non-convex…

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