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Calibration ensures that probabilistic forecasts meaningfully capture uncertainty by requiring that predicted probabilities align with empirical frequencies. However, many existing calibration methods are specialized for post-hoc…

Machine Learning · Computer Science 2023-11-01 Charles Marx , Sofian Zalouk , Stefano Ermon

Matrix completion aims to estimate missing entries in a data matrix, using the assumption of a low-complexity structure (e.g., low rank) so that imputation is possible. While many effective estimation algorithms exist in the literature,…

Methodology · Statistics 2023-10-24 Yu Gui , Rina Foygel Barber , Cong Ma

Conformal prediction (CP) for regression can be challenging, especially when the output distribution is heteroscedastic, multimodal, or skewed. Some of the issues can be addressed by estimating a distribution over the output, but in…

Machine Learning · Computer Science 2024-04-15 Etash Guha , Shlok Natarajan , Thomas Möllenhoff , Mohammad Emtiyaz Khan , Eugene Ndiaye

We study the problem of quantifying epistemic predictive uncertainty (EPU) -- that is, uncertainty faced at prediction time due to the existence of multiple plausible predictive models -- within the framework of conformal prediction (CP).…

Machine Learning · Computer Science 2026-02-03 Siu Lun Chau , Soroush H. Zargarbashi , Yusuf Sale , Michele Caprio

In this work, we present a novel conformal prediction method for time-series, which we call Kernel-based Optimally Weighted Conformal Prediction Intervals (KOWCPI). Specifically, KOWCPI adapts the classic Reweighted Nadaraya-Watson (RNW)…

Machine Learning · Computer Science 2026-02-12 Jonghyeok Lee , Chen Xu , Yao Xie

We study the split Conformal Prediction method when applied to Markovian data. We quantify the gap in terms of coverage induced by the correlations in the data (compared to exchangeable data). This gap strongly depends on the mixing…

Machine Learning · Computer Science 2024-07-23 Frédéric Zheng , Alexandre Proutiere

Conformal prediction equips machine learning models with a reasonable notion of uncertainty quantification without making strong distributional assumptions. It wraps around any prediction model and converts point predictions into set…

Machine Learning · Statistics 2025-10-21 Matteo Gasparin , Aaditya Ramdas

In many real applications of statistical learning, collecting sufficiently many training data is often expensive, time-consuming, or even unrealistic. In this case, a transfer learning approach, which aims to leverage knowledge from a…

Machine Learning · Statistics 2025-02-26 Baozhen Wang , Xingye Qiao

Computer model calibration involves using partial and imperfect observations of the real world to learn which values of a model's input parameters lead to outputs that are consistent with real-world observations. When calibrating models…

Methodology · Statistics 2023-10-31 Wenzhe Xu , Daniel B. Williamson , Frederic Hourdin , Romain Roehrig

Quantifying the data uncertainty in learning tasks is often done by learning a prediction interval or prediction set of the label given the input. Two commonly desired properties for learned prediction sets are \emph{valid coverage} and…

Machine Learning · Computer Science 2022-05-31 Yu Bai , Song Mei , Huan Wang , Yingbo Zhou , Caiming Xiong

Most machine learning-based image segmentation models produce pixel-wise confidence scores that represent the model's predicted probability for each class label at every pixel. While this information can be particularly valuable in…

Computer Vision and Pattern Recognition · Computer Science 2026-05-11 Bruno Viti , Elias Karabelas , Martin Holler

Covariate shifts are a common problem in predictive modeling on real-world problems. This paper proposes addressing the covariate shift problem by minimizing Maximum Mean Discrepancy (MMD) statistics between the training and test sets in…

Machine Learning · Computer Science 2022-03-03 Liwen Ouyang , Aaron Key

Conformal prediction (CP) is a popular frequentist framework for representing uncertainty by providing prediction sets that guarantee coverage of the true label with a user-adjustable probability. In most applications, CP operates on…

Kernel change-point detection (KCPD) has become a widely used tool for identifying structural changes in complex data. While existing theory establishes consistency under independence assumptions, real-world sequential data such as text…

Machine Learning · Computer Science 2026-01-27 Jairo Diaz-Rodriguez , Mumin Jia

Conformal prediction (CP) offers distribution-free uncertainty quantification for machine learning models, yet its interplay with fairness in downstream decision-making remains underexplored. Moving beyond CP as a standalone operation…

Machine Learning · Statistics 2026-02-20 Pengqi Liu , Zijun Yu , Mouloud Belbahri , Arthur Charpentier , Masoud Asgharian , Jesse C. Cresswell

This tutorial focuses on efficient methods to predictive monitoring (PM), the problem of detecting at runtime future violations of a given requirement from the current state of a system. While performing model checking at runtime would…

Artificial Intelligence · Computer Science 2023-12-05 Francesca Cairoli , Luca Bortolussi , Nicola Paoletti

Split conformal prediction provides distribution-free prediction intervals with finite-sample marginal coverage, but produces constant-width intervals that overcover in low-variance regions and undercover in high-variance regions. Existing…

Machine Learning · Computer Science 2026-02-16 Shreyas Fadnavis

Large language models (LLMs) are empowering decision-making in several applications, including tool or API usage and answering multiple-choice questions (MCQs). However, incorrect outputs pose significant risks in high-stakes domains like…

Machine Learning · Computer Science 2025-07-15 Harit Vishwakarma , Alan Mishler , Thomas Cook , Niccolò Dalmasso , Natraj Raman , Sumitra Ganesh

For any black-box model, conformal prediction (CP) returns prediction sets guaranteed to include the true label with high adjustable probability. Robust CP (RCP) extends the guarantee to the worst case noise up to a pre-defined magnitude.…

Machine Learning · Computer Science 2025-12-09 Soroush H. Zargarbashi , Mohammad Sadegh Akhondzadeh , Aleksandar Bojchevski

Conformal prediction is a distribution-free technique for establishing valid prediction intervals. Although conventionally people conduct conformal prediction in the output space, this is not the only possibility. In this paper, we propose…

Machine Learning · Computer Science 2023-04-11 Jiaye Teng , Chuan Wen , Dinghuai Zhang , Yoshua Bengio , Yang Gao , Yang Yuan