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Conformal prediction (CP) is a method for constructing a prediction interval around the output of a fitted model, whose validity does not rely on the model being correct--the CP interval offers a coverage guarantee that is…

Methodology · Statistics 2025-04-17 Aabesh Bhattacharyya , Rina Foygel Barber

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

Accurate conditional prediction in the regression setting plays an important role in many real-world problems. Typically, a point prediction often falls short since no attempt is made to quantify the prediction accuracy. Classically, under…

Methodology · Statistics 2025-09-04 Kejin Wu , Dimitris N. Politis

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 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 discuss a concept denoted as Conformal Prediction (CP) in this paper. While initially stemming from the world of machine learning, it was never applied or analyzed in the context of short-term electricity price forecasting. Therefore, we…

Econometrics · Economics 2020-11-17 Christopher Kath , Florian Ziel

Conformal prediction is a powerful post-hoc framework for uncertainty quantification that provides distribution-free coverage guarantees. However, these guarantees crucially rely on the assumption of exchangeability. This assumption is…

Methodology · Statistics 2025-11-18 M. Stocker , W. Małgorzewicz , M. Fontana , S. Ben Taieb

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

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

Physics-Informed Neural Networks (PINNs) have emerged as a powerful framework for solving PDEs, yet existing uncertainty quantification (UQ) approaches for PINNs generally lack rigorous statistical guarantees. In this work, we bridge this…

Machine Learning · Computer Science 2025-09-18 Yifan Yu , Cheuk Hin Ho , Yangshuai Wang

This paper proposes an extension to conventional regression Neural Networks (NNs) for replacing the point predictions they produce with prediction intervals that satisfy a required level of confidence. Our approach follows a novel machine…

Machine Learning · Computer Science 2023-12-18 Harris Papadopoulos , Haris Haralambous

Conformal prediction is a statistical tool for producing prediction regions of machine learning models that are valid with high probability. However, applying conformal prediction to time series data leads to conservative prediction…

Systems and Control · Electrical Eng. & Systems 2024-01-10 Matthew Cleaveland , Insup Lee , George J. Pappas , Lars Lindemann

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

Industrial time-series, as a structural data responds to production process information, can be utilized to perform data-driven decision-making for effective monitoring of industrial production process. However, there are some challenges…

Machine Learning · Computer Science 2024-07-22 Chao Min , Guoquan Wen , Jiangru Yuan , Jun Yi , Xing Guo

Gaussian Process Regression (GPR) is a popular regression method, which unlike most Machine Learning techniques, provides estimates of uncertainty for its predictions. These uncertainty estimates however, are based on the assumption that…

Machine Learning · Computer Science 2024-08-29 Harris Papadopoulos

Conformal prediction (CP) provides finite-sample, distribution-free marginal coverage, but standard conformal regression intervals can be inefficient under heteroscedasticity and skewness. In particular, popular constructions such as…

Machine Learning · Statistics 2026-03-03 Xiaoyi Su , Zhixin Zhou , Rui Luo

By generating prediction intervals (PIs) to quantify the uncertainty of each prediction in deep learning regression, the risk of wrong predictions can be effectively controlled. High-quality PIs need to be as narrow as possible, whilst…

Machine Learning · Computer Science 2023-02-03 Haocheng Lei , Anthony Bellotti

Conformal inference is a popular tool for constructing prediction intervals (PI). We consider here the scenario of post-selection/selective conformal inference, that is PIs are reported only for individuals selected from an unlabeled test…

Methodology · Statistics 2024-03-13 Yajie Bao , Yuyang Huo , Haojie Ren , Changliang Zou

Signal Temporal Logic (STL) inference seeks to extract human-interpretable rules from time-series data, but existing methods lack formal confidence guarantees for the inferred rules. Conformal prediction (CP) is a technique that can provide…

Machine Learning · Computer Science 2025-10-23 Danyang Li , Yixuan Wang , Matthew Cleaveland , Mingyu Cai , Roberto Tron

Standard conformal prediction methods guarantee marginal coverage but often produce inefficient intervals that fail to adapt to local heteroscedasticity, while recent localized approaches often struggle to maintain validity across distinct…

Methodology · Statistics 2025-12-02 Yuan Lu