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Related papers: Distributional conformal prediction

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Conformal prediction is a popular technique for constructing prediction intervals with distribution-free coverage guarantees. The coverage is marginal, meaning it only holds on average over the entire population but not necessarily for any…

Methodology · Statistics 2026-05-28 Yao Zhang , Emmanuel J. Candès

This paper reviews two main types of prediction interval methods under a parametric framework. First, we describe methods based on an (approximate) pivotal quantity. Examples include the plug-in, pivotal, and calibration methods. Then we…

Methodology · Statistics 2021-09-28 Qinglong Tian , Daniel J. Nordman , William Q. Meeker

Conformal prediction is a non-parametric technique for constructing prediction intervals or sets from arbitrary predictive models under the assumption that the data is exchangeable. It is popular as it comes with theoretical guarantees on…

Machine Learning · Statistics 2025-12-01 Jase Clarkson , Wenkai Xu , Mihai Cucuringu , Yvik Swan , Gesine Reinert

Before delegating a task to an autonomous system, a human operator may want a guarantee about the behavior of the system. This paper extends previous work on conformal prediction for functional data and conformalized quantile regression to…

Machine Learning · Computer Science 2022-06-23 Thomas G. Dietterich , Jesse Hostetler

We develop a general framework for constructing distribution-free prediction intervals for time series. Theoretically, we establish explicit bounds on conditional and marginal coverage gaps of estimated prediction intervals, which…

Methodology · Statistics 2023-02-20 Chen Xu , Yao Xie

Conformal prediction offers a distribution-free framework for constructing prediction sets with coverage guarantees. In practice, multiple valid conformal prediction sets may be available, arising from different models or methodologies.…

Machine Learning · Statistics 2025-06-26 Mahmoud Hegazy , Liviu Aolaritei , Michael I. Jordan , Aymeric Dieuleveut

Conformal prediction is a general distribution-free approach for constructing prediction sets combined with any machine learning algorithm that achieve valid marginal or conditional coverage in finite samples. Ordinal classification is…

Methodology · Statistics 2024-11-05 Subhrasish Chakraborty , Chhavi Tyagi , Haiyan Qiao , Wenge Guo

Structured additive distributional regression models offer a versatile framework for estimating complete conditional distributions by relating all parameters of a parametric distribution to covariates. Although these models efficiently…

Methodology · Statistics 2023-11-14 Jana Kleinemeier , Nadja Klein

Conformal predictors are machine learning algorithms that output prediction sets that have a guarantee of marginal validity for finite samples with minimal distributional assumptions. This is a property that makes conformal predictors…

Machine Learning · Computer Science 2021-03-03 Anthony Bellotti

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

Predictive inference under a general regression setting is gaining more interest in the big-data era. In terms of going beyond point prediction to develop prediction intervals, two main threads of development are conformal prediction and…

Statistics Theory · Mathematics 2025-05-19 Yiren Wang , Dimitris N. Politis

Conformal Prediction methods have finite-sample distribution-free marginal coverage guarantees. However, they generally do not offer conditional coverage guarantees, which can be important for high-stakes decisions. In this paper, we…

Machine Learning · Statistics 2024-09-27 Ruijiang Gao , Mingzhang Yin , James McInerney , Nathan Kallus

The field of distribution-free predictive inference provides tools for provably valid prediction without any assumptions on the distribution of the data, which can be paired with any regression algorithm to provide accurate and reliable…

Statistics Theory · Mathematics 2023-01-19 Michael Bian , Rina Foygel Barber

Distributional regression aims at estimating the conditional distribution of a targetvariable given explanatory co-variates. It is a crucial tool for forecasting whena precise uncertainty quantification is required. A popular methodology…

Statistics Theory · Mathematics 2024-11-22 Clément Dombry , Ahmed Zaoui

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

Existing conformal prediction algorithms estimate prediction intervals at target confidence levels to characterize the performance of a regression model on new test samples. However, considering an autonomous system consisting of multiple…

Machine Learning · Computer Science 2023-09-25 Yunye Gong , Yi Yao , Xiao Lin , Ajay Divakaran , Melinda Gervasio

A rich set of frequentist model averaging methods has been developed, but their applications have largely been limited to point prediction, as measuring prediction uncertainty in general settings remains an open problem. In this paper we…

Econometrics · Economics 2025-10-21 Zhongjun Qu , Wendun Wang , Xiaomeng Zhang

Conformal prediction provides distribution-free predictive intervals with finite-sample marginal coverage. However, achieving conditional validity and interval efficiency (in terms of short interval length) remains challenging, particularly…

Machine Learning · Statistics 2026-05-06 Ran Zou , Wanrong Zhu , Bin Nan

We consider the problem of constructing distribution-free prediction sets with finite-sample conditional guarantees. Prior work has shown that it is impossible to provide exact conditional coverage universally in finite samples. Thus, most…

Methodology · Statistics 2024-09-18 Isaac Gibbs , John J. Cherian , Emmanuel J. Candès

Conformal Prediction offers a powerful framework for quantifying uncertainty in machine learning models, enabling the construction of prediction sets with finite-sample validity guarantees. While easily adaptable to non-probabilistic…

Machine Learning · Statistics 2024-11-27 Eshant English , Christoph Lippert