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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

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

Online conformal prediction has demonstrated its capability to construct a prediction set for each incoming data point that covers the true label with a predetermined probability. To cope with potential distribution shift, multi-model…

Machine Learning · Computer Science 2025-10-14 Erfan Hajihashemi , Yanning Shen

We develop an online learning method for prediction, which is important in problems with large and/or streaming data sets. We formulate the learning approach using a covariance-fitting methodology, and show that the resulting predictor has…

Machine Learning · Computer Science 2017-03-16 Dave Zachariah , Petre Stoica , Thomas B. Schön

Conformal prediction provides a principled framework for uncertainty quantification with finite-sample coverage guarantees. While recent work has extended conformal prediction to online and sequential settings, existing methods typically…

Machine Learning · Statistics 2026-05-14 Eduardo Ochoa Rivera , Ambuj Tewari

Conformal prediction is a framework for uncertainty quantification that constructs prediction sets for previously unseen data, guaranteeing coverage of the true label with a specified probability. However, the efficiency of these prediction…

Machine Learning · Computer Science 2026-01-06 Erfan Hajihashemi , Yanning Shen

We introduce $\textit{Backward Conformal Prediction}$, a method that guarantees conformal coverage while providing flexible control over the size of prediction sets. Unlike standard conformal prediction, which fixes the coverage level and…

Machine Learning · Statistics 2026-02-13 Etienne Gauthier , Francis Bach , Michael I. Jordan

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

In a supervised online setting, quantifying uncertainty has been proposed in the seminal work of \cite{gibbs2021adaptive}. For any given point-prediction algorithm, their method (ACI) produces a conformal prediction set with an average…

Statistics Theory · Mathematics 2025-11-24 Pierre Humbert , Ulysse Gazin , Ruth Heller , Etienne Roquain

Conformal prediction is a technique for constructing prediction intervals that attain valid coverage in finite samples, without making distributional assumptions. Despite this appeal, existing conformal methods can be unnecessarily…

Methodology · Statistics 2019-05-09 Yaniv Romano , Evan Patterson , Emmanuel J. Candès

We study the problem of uncertainty quantification via prediction sets, in an online setting where the data distribution may vary arbitrarily over time. Recent work develops online conformal prediction techniques that leverage regret…

Machine Learning · Computer Science 2023-02-16 Aadyot Bhatnagar , Huan Wang , Caiming Xiong , Yu Bai

We propose a multi-scale extension of conformal prediction, an approach that constructs prediction sets with finite-sample coverage guarantees under minimal statistical assumptions. Classic conformal prediction relies on a single notion of…

Statistics Theory · Mathematics 2025-02-11 Ali Baheri , Marzieh Amiri Shahbazi

The aim of this paper is to propose an adaptation of the well known adaptive conformal inference (ACI) algorithm to achieve finite-sample coverage guarantees in multi-step ahead time-series forecasting in the online setting. ACI dynamically…

Machine Learning · Statistics 2024-09-24 Johan Hallberg Szabadváry

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 methods for forming prediction sets in an online setting where the data generating distribution is allowed to vary over time in an unknown fashion. Our framework builds on ideas from conformal inference to provide a general…

Methodology · Statistics 2021-12-10 Isaac Gibbs , Emmanuel Candès

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

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

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 online selective conformal inference, data arrives sequentially, and prediction intervals are constructed only when an online selection rule is met. Since online selections may break the exchangeability between the selected test datum…

Machine Learning · Statistics 2025-03-24 Yusuf Sale , Aaditya Ramdas

Online detection of instantaneous changes in the generative process of a data sequence generally focuses on retrospective inference of such change points without considering their future occurrences. We extend the Bayesian Online Change…

Machine Learning · Computer Science 2020-06-25 Diego Agudelo-España , Sebastian Gomez-Gonzalez , Stefan Bauer , Bernhard Schölkopf , Jan Peters
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