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We apply split conformal prediction techniques to regression problems with circular responses by introducing a suitable conformity score, leading to prediction sets with adaptive arc length and finite-sample coverage guarantees for any…

Machine Learning · Statistics 2024-12-30 Paulo C. Marques F. , Rinaldo Artes , Helton Graziadei

The ultimate goal of regression analysis is to obtain information about the conditional distribution of a response given a set of explanatory variables. This goal is, however, seldom achieved because most established regression models only…

Methodology · Statistics 2017-12-13 Torsten Hothorn , Thomas Kneib , Peter Bühlmann

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…

We introduce Conformal Interquantile Regression (CIR), a conformal regression method that efficiently constructs near-minimal prediction intervals with guaranteed coverage. CIR leverages black-box machine learning models to estimate outcome…

Machine Learning · Statistics 2026-01-07 Naixin Guo , Rui Luo , Zhixin Zhou

This paper proposes a new method for finding the highest predictive density set or region, within the heteroscedastic regression framework. This framework enjoys the property that any highest predictive density set is a translation of some…

Methodology · Statistics 2025-04-09 Max Sampson , Kung-Sik Chan

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

Existing inferential methods for small area data involve a trade-off between maintaining area-level frequentist coverage rates and improving inferential precision via the incorporation of indirect information. In this article, we propose a…

Methodology · Statistics 2022-04-19 Elizabeth Bersson , Peter D. Hoff

Uncertainty quantification of prediction models through prediction sets is increasingly popular and successful, but most existing methods rely on directly observing the outcome and do not appropriately handle censored outcomes, such as…

Methodology · Statistics 2025-05-06 Wenwen Si , Hongxiang Qiu

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 give a finite-sample analysis of predictive inference procedures after model selection in regression with random design. The analysis is focused on a statistically challenging scenario where the number of potentially important…

Statistics Theory · Mathematics 2009-08-26 Hannes Leeb

The machine learning literature contains several constructions for prediction intervals that are intuitively reasonable but ultimately ad-hoc in that they do not come with provable performance guarantees. We present methods from the…

Machine Learning · Statistics 2020-02-25 Danijel Kivaranovic , Kory D. Johnson , Hannes Leeb

Reliable uncertainty quantification is of critical importance in time series forecasting, yet traditional methods often rely on restrictive distributional assumptions. Conformal prediction (CP) has emerged as a promising distribution-free…

Machine Learning · Computer Science 2026-02-02 Andro Sabashvili

Predicting the response at an unobserved location is a fundamental problem in spatial statistics. Given the difficulty in modeling spatial dependence, especially in non-stationary cases, model-based prediction intervals are at risk of…

Methodology · Statistics 2025-07-09 Huiying Mao , Ryan Martin , Brian Reich

While Conformal Prediction (CP) has proven to be a powerful framework for uncertainty quantification, guaranteeing conditional coverage remains a central challenge. Although finite-sample, distribution-free conditional validity is known to…

Methodology · Statistics 2026-05-27 Félix Laplante

In a supervised learning problem, given a predicted value that is the output of some trained model, how can we quantify our uncertainty around this prediction? Distribution-free predictive inference aims to construct prediction intervals…

Statistics Theory · Mathematics 2025-07-01 Ruiting Liang , Rina Foygel Barber

Conformal prediction is an uncertainty quantification method that constructs a prediction set for a previously unseen datum, ensuring the true label is included with a predetermined coverage probability. Adaptive conformal prediction has…

Machine Learning · Computer Science 2024-11-07 Erfan Hajihashemi , Yanning Shen

Survival prediction often involves estimating the time-to-event distribution from censored datasets. Previous approaches have focused on enhancing discrimination and marginal calibration. In this paper, we highlight the significance of…

Machine Learning · Computer Science 2025-03-25 Shi-ang Qi , Yakun Yu , Russell Greiner

Conformal prediction provides a pivotal and flexible technique for uncertainty quantification by constructing prediction sets with a predefined coverage rate. Many online conformal prediction methods have been developed to address data…

Machine Learning · Statistics 2026-02-25 Dongjian Hu , Junxi Wu , Shu-Tao Xia , Changliang Zou

Transformers have become a standard architecture in machine learning, demonstrating strong in-context learning (ICL) abilities that allow them to learn from the prompt at inference time. However, uncertainty quantification for ICL remains…

Machine Learning · Statistics 2025-04-23 Zhe Huang , Simone Rossi , Rui Yuan , Thomas Hannagan

We propose a method for constructing distribution-free prediction intervals in nonparametric instrumental variable regression (NPIV), with finite-sample coverage guarantees. Building on the conditional guarantee framework in conformal…

Econometrics · Economics 2026-03-27 Masahiro Kato