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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

Reliable uncertainty quantification is essential for deploying machine learning systems in high-stakes domains. Conformal prediction provides distribution-free coverage guarantees but often produces overly large prediction sets, limiting…

Machine Learning · Computer Science 2026-04-28 Yunpeng Xu , Wenge Guo , Zhi Wei

Most image restoration problems are ill-conditioned or ill-posed and hence involve significant uncertainty. Quantifying this uncertainty is crucial for reliably interpreting experimental results, particularly when reconstructed images…

Computer Vision and Pattern Recognition · Computer Science 2025-02-10 Jasper M. Everink , Bernardin Tamo Amougou , Marcelo Pereyra

Unreliable predictions can occur when using artificial intelligence (AI) systems with negative consequences for downstream applications, particularly when employed for decision-making. Conformal prediction provides a model-agnostic…

Machine Learning · Computer Science 2024-01-15 Geethen Singh , Glenn Moncrieff , Zander Venter , Kerry Cawse-Nicholson , Jasper Slingsby , Tamara B Robinson

Conformal prediction is a statistically rigorous method for quantifying uncertainty in models by having them output sets of predictions, with larger sets indicating more uncertainty. However, prediction sets are not inherently actionable;…

Machine Learning · Computer Science 2025-02-17 Jesse C. Cresswell , Bhargava Kumar , Yi Sui , Mouloud Belbahri

Numerous studies have focused on learning and understanding the dynamics of physical systems from video data, such as spatial intelligence. Artificial intelligence requires quantitative assessments of the uncertainty of the model to ensure…

Machine Learning · Computer Science 2024-12-18 Aoming Liang , Qi Liu , Lei Xu , Fahad Sohrab , Weicheng Cui , Changhui Song , Moncef Gabbouj

Depth measures have gained popularity in the statistical literature for defining level sets in complex data structures like multivariate data, functional data, and graphs. Despite their versatility, integrating depth measures into…

Conformal prediction (CP) has been a popular method for uncertainty quantification because it is distribution-free, model-agnostic, and theoretically sound. For forecasting problems in supervised learning, most CP methods focus on building…

Machine Learning · Statistics 2024-05-24 Chen Xu , Hanyang Jiang , Yao Xie

Neural weather models have shown immense potential as inexpensive and accurate alternatives to physics-based models. However, most models trained to perform weather forecasting do not quantify the uncertainty associated with their…

Conformal prediction provides distribution-free coverage guaranties for regression; yet existing methods assume Euclidean output spaces and produce prediction regions that are poorly calibrated when responses lie on Riemannian manifolds. We…

Machine Learning · Computer Science 2026-02-19 Marzieh Amiri Shahbazi , Ali Baheri

Uncertainty quantification plays an important role in achieving trustworthy and reliable learning-based computational imaging. Recent advances in generative modeling and Bayesian neural networks have enabled the development of…

Image and Video Processing · Electrical Eng. & Systems 2025-10-07 Canberk Ekmekci , Mujdat Cetin

As machine learning-based prediction systems are increasingly used in high-stakes situations, it is important to understand how such predictive models will perform upon deployment. Distribution-free uncertainty quantification techniques…

Machine Learning · Computer Science 2025-06-12 Jake C. Snell , Thomas L. Griffiths

Conformal predictors are machine learning algorithms developed in the 1990's by Gammerman, Vovk, and their research team, to provide set predictions with guaranteed confidence level. Over recent years, they have grown in popularity and have…

Machine Learning · Computer Science 2025-08-12 Anthony Bellotti , Xindi Zhao

Neural networks are among the most powerful nonlinear models used to address supervised learning problems. Similar to most machine learning algorithms, neural networks produce point predictions and do not provide any prediction interval…

Machine Learning · Statistics 2020-07-01 Saeed Khaki , Dan Nettleton

Conformal prediction uses past experience to determine precise levels of confidence in new predictions. Given an error probability $\epsilon$, together with a method that makes a prediction $\hat{y}$ of a label $y$, it produces a set of…

Machine Learning · Computer Science 2019-04-23 Glenn Shafer , Vladimir Vovk

Given that machine learning algorithms are increasingly being deployed to aid in high stakes decision-making, uncertainty quantification methods that wrap around these black box models such as conformal prediction have received much…

Machine Learning · Statistics 2026-02-09 Kayla E. Scharfstein , Arun Kumar Kuchibhotla

We develop a predictive inference procedure that combines conformal prediction (CP) with unconditional quantile regression (QR) -- a commonly used tool in econometrics that involves regressing the recentered influence function (RIF) of the…

Machine Learning · Computer Science 2023-04-05 Ahmed M. Alaa , Zeshan Hussain , David Sontag

Despite recent progress in predicting biomarker trajectories from real clinical data, uncertainty in the predictions poses high-stakes risks (e.g., misdiagnosis) that limit their clinical deployment. To enable safe and reliable use of such…

Machine Learning · Statistics 2025-11-19 Vasiliki Tassopoulou , Charis Stamouli , Haochang Shou , George J. Pappas , Christos Davatzikos

Conformal inference provides a rigorous statistical framework for uncertainty quantification in machine learning, enabling well-calibrated prediction sets with precise coverage guarantees for any classification model. However, its reliance…

Conformal prediction is a distribution-free framework for uncertainty quantification that replaces point predictions with sets, offering marginal coverage guarantees (i.e., ensuring that the prediction sets contain the true label with a…

Machine Learning · Computer Science 2025-02-25 Margarida M. Campos , João Calém , Sophia Sklaviadis , Mário A. T. Figueiredo , André F. T. Martins
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