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If you are predicting the label $y$ of a new object with $\hat y$, how confident are you that $y = \hat y$? Conformal prediction methods provide an elegant framework for answering such question by building a $100 (1 - \alpha)\%$ confidence…

Machine Learning · Statistics 2019-11-11 Eugene Ndiaye , Ichiro Takeuchi

We propose a new method, semi-penalized inference with direct false discovery rate control (SPIDR), for variable selection and confidence interval construction in high-dimensional linear regression. SPIDR first uses a semi-penalized…

Methodology · Statistics 2013-12-02 Jian Huang , Shuangge Ma , Cun-Hui Zhang , Yong Zhou

Conformal prediction offers finite-sample coverage guarantees under minimal assumptions. However, existing methods treat the entire modeling process as a black box, overlooking opportunities to exploit and understand modular structure. We…

Machine Learning · Statistics 2026-05-25 William Zhang , Saurabh Amin , Georgia Perakis

Conformal regression provides prediction intervals with global coverage guarantees, but often fails to capture local error distributions, leading to non-homogeneous coverage. We address this with a new adaptive method based on rescaling…

Machine Learning · Computer Science 2023-06-01 Nicolas Deutschmann , Mattia Rigotti , Maria Rodriguez Martinez

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

Time series forecasting is critical for many applications, where deep learning-based point prediction models have demonstrated strong performance. However, in practical scenarios, there is also a need to quantify predictive uncertainty…

Machine Learning · Computer Science 2025-05-14 Xiannan Huang , Shuhan Qiu

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

This article illustrates how indirect or prior information can be optimally used to construct a prediction region that maintains a target frequentist coverage rate. If the indirect information is accurate, the volume of the prediction…

Statistics Theory · Mathematics 2021-06-01 Peter Hoff

Conformal prediction has emerged as a powerful framework for constructing distribution-free prediction sets with guaranteed coverage assuming only the exchangeability assumption. However, this assumption is often violated in online…

Machine Learning · Statistics 2025-11-07 Jungbin Jun , Ilsang Ohn

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

Conformal predictors, introduced by Vovk et al. (2005), serve to build prediction intervals by exploiting a notion of conformity of the new data point with previously observed data. In the present paper, we propose a novel method for…

Statistics Theory · Mathematics 2009-02-12 Mohamed Hebiri

Conformal prediction offers a distribution-free framework for constructing prediction sets with coverage guarantees. In practice, multiple valid conformal prediction sets may be available, arising from different models or methodologies.…

Machine Learning · Statistics 2025-06-26 Mahmoud Hegazy , Liviu Aolaritei , Michael I. Jordan , Aymeric Dieuleveut

Confidence sequences are anytime-valid analogues of classical confidence intervals that do not suffer from multiplicity issues under optional continuation of the data collection. As in classical statistics, asymptotic confidence sequences…

Statistics Theory · Mathematics 2025-06-17 Felix Gnettner , Claudia Kirch

We study the asymptotic frequentist coverage of credible sets based on a novel Bayesian approach for a multiple linear regression model under variable selection. We initially ignore the issue of variable selection, which allows us to put a…

Methodology · Statistics 2024-06-21 Samhita Pal , Subhashis Ghosal

Current solar flare predictions often lack precise quantification of their reliability, resulting in frequent false alarms, particularly when dealing with datasets skewed towards extreme events. To improve the trustworthiness of space…

Solar and Stellar Astrophysics · Physics 2026-03-10 Jinsu Hong , Chetraj Pandey , Berkay Aydin

Panel data, in which multiple units are repeatedly observed over time, arise throughout science and engineering. Quantifying predictive uncertainty in such settings is challenging because conformal prediction, while distribution-free and…

Machine Learning · Statistics 2026-05-19 Daohong Tu , Kay Giesecke

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 provides prediction sets with finite-sample marginal coverage, but many applications require coverage guarantees that adapt to individual test points, a subpopulation, or a structural component of the data. Existing…

Methodology · Statistics 2026-05-27 Yinjie Min , Liuhua Peng , Changliang Zou

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

In this paper, we introduce a conformal prediction method to construct prediction sets in a oneshot federated learning setting. More specifically, we define a quantile-of-quantiles estimator and prove that for any distribution, it is…

Machine Learning · Statistics 2023-08-01 Pierre Humbert , Batiste Le Bars , Aurélien Bellet , Sylvain Arlot