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This paper develops a conformal method to compute prediction intervals for non-parametric regression that can automatically adapt to skewed data. Leveraging black-box machine learning algorithms to estimate the conditional distribution of…

Methodology · Statistics 2021-10-26 Matteo Sesia , Yaniv Romano

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

Successful application of machine learning models to real-world prediction problems, e.g. financial forecasting and personalized medicine, has proved to be challenging, because such settings require limiting and quantifying the uncertainty…

Machine Learning · Computer Science 2020-09-15 Yao Zhang , William Zame , Mihaela van der Schaar

Conformal Prediction (CP) is a powerful statistical machine learning tool to construct uncertainty sets with coverage guarantees, which has fueled its extensive adoption in generating prediction regions for decision-making tasks, e.g.,…

Optimization and Control · Mathematics 2025-10-21 Han Wang , Chao Ning

Reliable uncertainty quantification is critical for trustworthy AI. Conformal Prediction (CP) provides prediction sets with distribution-free coverage guarantees, but its two main variants face complementary limitations. Split CP (SCP)…

Machine Learning · Computer Science 2025-11-20 Weicao Deng , Sangwoo Park , Min Li , Osvaldo Simeone

When one observes a sequence of variables $(x_1, y_1), \ldots, (x_n, y_n)$, Conformal Prediction (CP) is a methodology that allows to estimate a confidence set for $y_{n+1}$ given $x_{n+1}$ by merely assuming that the distribution of the…

Machine Learning · Statistics 2022-12-08 Eugene Ndiaye

Conformal prediction provides a powerful framework for constructing prediction intervals with finite-sample guarantees, yet its robustness under distribution shifts remains a significant challenge. This paper addresses this limitation by…

Machine Learning · Statistics 2025-05-20 Liviu Aolaritei , Zheyu Oliver Wang , Julie Zhu , Michael I. Jordan , Youssef Marzouk

Conformal prediction provides finite-sample, distribution-free coverage under exchangeability, but standard constructions may lack robustness in the presence of outliers or heavy tails. We propose a robust conformal method based on a…

Statistics Theory · Mathematics 2026-04-21 Alejandro Cholaquidis , Emilien Joly , Leonardo Moreno

Time series forecasting is critical for many applications, where deep learning-based point prediction models have demonstrated strong performance. However, in practical scenarios, there is also a need to quantify predictive uncertainty…

Machine Learning · Computer Science 2025-05-14 Xiannan Huang , Shuhan Qiu

Constructing prediction intervals for time series forecasting is challenging, particularly when practitioners rely solely on point forecasts. While previous research has focused on creating increasingly efficient intervals, we argue that…

Methodology · Statistics 2025-01-20 Carlos Sebastián , Carlos E. González-Guillén , Jesús Juan

Conformal prediction provides distribution-free coverage guarantees, but in many-class classification it may still under-cover specific classes or subpopulations, preventing safe deployment in high-stakes applications. We propose Cluster…

Machine Learning · Computer Science 2026-05-26 Tomer Lavi , Bracha Shapira , Nadav Rappoport

Conformal prediction is a generic methodology for finite-sample valid distribution-free prediction. This technique has garnered a lot of attention in the literature partly because it can be applied with any machine learning algorithm that…

Methodology · Statistics 2024-04-12 Yachong Yang , Arun Kumar Kuchibhotla

Conformal prediction (CP) is a distribution-free method to construct reliable prediction intervals that has gained significant attention in recent years. Despite its success and various proposed extensions, a significant practical feature…

Statistics Theory · Mathematics 2026-02-02 Louis Allain , Sébastien Da Veiga , Brian Staber

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

Conformal prediction is a distribution-free uncertainty quantification method that has gained popularity in the machine learning community due to its finite-sample guarantees and ease of use. Its most common variant, dubbed split conformal…

Machine Learning · Computer Science 2025-10-27 Alvaro H. C. Correia , Christos Louizos

In regression, conformal prediction is a general methodology to construct prediction intervals in a distribution-free manner. Although conformal prediction guarantees strong statistical property for predictive inference, its inherent…

Statistics Theory · Mathematics 2016-12-01 Wenyu Chen , Zhaokai Wang , Wooseok Ha , Rina Foygel Barber

Rigorous uncertainty quantification is essential for the safe deployment of autonomous systems in unconstrained environments. Conformal Prediction (CP) provides a distribution-free framework for this task, yet its standard formulations rely…

Machine Learning · Computer Science 2026-05-14 Renukanandan Tumu , Aditya Singh , Rahul Mangharam

Existing evaluations of conformal prediction, such as prediction efficiency and test-conditional coverage, are defined in expectation over the calibration data. In practice, when only one calibration set of limited size is available,…

Methodology · Statistics 2026-05-05 Yinjie Min , Liuhua Peng , Changliang Zou

Online conformal prediction (OCP) wraps around any pre-trained predictor to produce prediction sets with coverage guarantees that hold irrespective of temporal dependencies or distribution shifts. However, standard OCP faces two key…

Machine Learning · Computer Science 2025-11-21 Meiyi Zhu , Caili Guo , Chunyan Feng , Osvaldo Simeone

We propose \textbf{Temporal Conformal Prediction (TCP)}, a distribution-free framework for constructing well-calibrated prediction intervals in nonstationary time series. TCP couples a modern quantile forecaster with a rolling…

Machine Learning · Statistics 2026-01-26 Agnideep Aich , Ashit Baran Aich , Dipak C. Jain
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