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This paper investigates an interesting weakly supervised regression setting called regression with interval targets (RIT). Although some of the previous methods on relevant regression settings can be adapted to RIT, they are not…

Machine Learning · Computer Science 2023-06-21 Xin Cheng , Yuzhou Cao , Ximing Li , Bo An , Lei Feng

We revisit the problem of constructing predictive confidence sets for which we wish to obtain some type of conditional validity. We provide new arguments showing how ``split conformal'' methods achieve near desired coverage levels with high…

Statistics Theory · Mathematics 2025-03-04 John C. Duchi

Bayesian posterior distributions naturally represent parameter uncertainty informed by data. However, when the parameter space is complex, as in many nonparametric settings where it is infinite-dimensional or combinatorially large, standard…

Methodology · Statistics 2025-12-22 Nicola Bariletto , Nhat Ho , Alessandro Rinaldo

Having a regression model, we are interested in finding two-sided intervals that are guaranteed to contain at least a desired proportion of the conditional distribution of the response variable given a specific combination of predictors. We…

Machine Learning · Computer Science 2016-03-22 Mohammad Ghasemi Hamed , Mathieu Serrurier , Nicolas Durand

This paper addresses the problem of providing runtime assurance for systems operating online under unknown and potentially time-varying data distributions. We propose Cost-Aware Adaptive Conformal Inference (ACI), a novel framework that…

Systems and Control · Electrical Eng. & Systems 2026-05-26 Taoran Wu , Jingduo Pan , Luke Ong , Bai Xue

We develop a novel approach to conformal prediction when the target task has limited data available for training. Conformal prediction identifies a small set of promising output candidates in place of a single prediction, with guarantees…

Machine Learning · Computer Science 2021-07-21 Adam Fisch , Tal Schuster , Tommi Jaakkola , Regina Barzilay

This paper presents a novel probabilistic forecasting method called ensemble conformalized quantile regression (EnCQR). EnCQR constructs distribution-free and approximately marginally valid prediction intervals (PIs), which are suitable for…

Machine Learning · Computer Science 2022-11-08 Vilde Jensen , Filippo Maria Bianchi , Stian Norman Anfinsen

We propose conformal hyperrectangular prediction regions for multi-target regression. We propose split conformal prediction algorithms for both point and quantile regression to form hyperrectangular prediction regions, which allow for easy…

Methodology · Statistics 2024-06-10 Max Sampson , Kung-Sik Chan

Prediction intervals offer an effective tool for quantifying the uncertainty of loads in distribution systems. The traditional central PIs cannot adapt well to skewed distributions, and their offline training fashion is vulnerable to…

Applications · Statistics 2023-11-30 Yufan Zhang , Honglin Wen , Qiuwei Wu , Qian Ai

We develop scalable methods for producing conformal Bayesian predictive intervals with finite sample calibration guarantees. Bayesian posterior predictive distributions, $p(y \mid x)$, characterize subjective beliefs on outcomes of…

Methodology · Statistics 2021-06-15 Edwin Fong , Chris Holmes

This paper introduces a boosted conformal procedure designed to tailor conformalized prediction intervals toward specific desired properties, such as enhanced conditional coverage or reduced interval length. We employ machine learning…

Methodology · Statistics 2024-11-12 Ran Xie , Rina Foygel Barber , Emmanuel J. Candès

We propose a new conformal prediction method for time-series data with a guaranteed asymptotic conditional coverage rate, Sequential Conformalized Density Regions (SCDR), which is flexible enough to produce both prediction intervals and…

Methodology · Statistics 2026-04-09 M. Sampson , K. S. Chan

Standard conformal prediction offers a marginal guarantee on coverage, but for prediction sets to be truly useful, they should ideally ensure coverage conditional on each test point. Unfortunately, it is impossible to achieve exact,…

Machine Learning · Computer Science 2025-02-11 Jivat Neet Kaur , Michael I. Jordan , Ahmed Alaa

A reliable representation of uncertainty is essential for the application of modern machine learning methods in safety-critical settings. In this regard, the use of credal sets (i.e., convex sets of probability distributions) has recently…

Machine Learning · Computer Science 2026-03-10 Paul Hofman , Timo Löhr , Maximilian Muschalik , Yusuf Sale , Eyke Hüllermeier

It can be argued that optimal prediction should take into account all available data. Therefore, to evaluate a prediction interval's performance one should employ conditional coverage probability, conditioning on all available observations.…

Statistics Theory · Mathematics 2021-03-02 Yunyi Zhang , Dimitris N. Politis

We propose several prediction intervals procedures for the individual treatment effect with either finite-sample or asymptotic coverage guarantee in a non-parametric regression setting, where non-linear regression functions,…

Methodology · Statistics 2020-06-03 Danijel Kivaranovic , Robin Ristl , Martin Posch , Hannes Leeb

Conformal predictive systems allow forecasters to issue predictive distributions for real-valued future outcomes that have out-of-sample calibration guarantees. On a more abstract level, conformal prediction makes use of in-sample…

Methodology · Statistics 2025-03-07 Sam Allen , Georgios Gavrilopoulos , Alexander Henzi , Gian-Reto Kleger , Johanna Ziegel

We propose a simple and efficient approach to generate a prediction intervals (PI) for approximated and forecasted trends. Our method leverages a weighted asymmetric loss function to estimate the lower and upper bounds of the PI, with the…

Machine Learning · Statistics 2023-07-20 Milo Grillo , Yunpeng Han , Agnieszka Werpachowska

We introduce a framework for robust uncertainty quantification in situations where labeled training data are corrupted, through noisy or missing labels. We build on conformal prediction, a statistical tool for generating prediction sets…

Machine Learning · Computer Science 2026-02-27 Shai Feldman , Stephen Bates , Yaniv Romano

This paper presents a new conformal method for generating simultaneous forecasting bands guaranteed to cover the entire path of a new random trajectory with sufficiently high probability. Prompted by the need for dependable uncertainty…

Machine Learning · Statistics 2024-05-16 Yanfei Zhou , Lars Lindemann , Matteo Sesia