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We consider the problem of forming prediction sets in an online setting where the distribution generating the data is allowed to vary over time. Previous approaches to this problem suffer from over-weighting historical data and thus may…

Methodology · Statistics 2023-10-09 Isaac Gibbs , Emmanuel Candès

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 Inference (CI) is a popular approach for generating finite sample prediction intervals based on the output of any point prediction method when data are exchangeable. Adaptive Conformal Inference (ACI) algorithms extend CI to the…

Computation · Statistics 2023-12-04 Herbert Susmann , Antoine Chambaz , Julie Josse

Adaptive Conformal Inference (ACI) provides distribution-free prediction intervals with asymptotic coverage guarantees for time series under distribution shift. However, ACI only adapts the quantile threshold -- it cannot shift the interval…

Machine Learning · Computer Science 2026-04-16 Ankit Lade , Sai Krishna J. , Indar Kumar

Uncertainty quantification of predictive models is crucial in decision-making problems. Conformal prediction is a general and theoretically sound answer. However, it requires exchangeable data, excluding time series. While recent works…

Machine Learning · Statistics 2022-02-16 Margaux Zaffran , Aymeric Dieuleveut , Olivier Féron , Yannig Goude , Julie Josse

We consider the problem of constructing distribution-free prediction intervals for multi-step time series forecasting, with a focus on the temporal dependencies inherent in multi-step forecast errors. We establish that the optimal…

Methodology · Statistics 2026-02-03 Xiaoqian Wang , Rob J Hyndman

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

Adaptive Conformal Inference (ACI) provides finite-sample coverage guarantees, enhancing the prediction reliability under non-exchangeability. This study demonstrates that these desirable properties of ACI do not require the use of…

Machine Learning · Statistics 2025-07-02 Johan Hallberg Szabadváry , Tuwe Löfström

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

Uncertainty quantification in time series prediction is challenging due to the temporal dependence and distribution shift on sequential data. Conformal inference provides a pivotal and flexible instrument for assessing the uncertainty of…

Machine Learning · Statistics 2025-09-09 Junxi Wu , Dongjian Hu , Yajie Bao , Shu-Tao Xia , Changliang Zou

Future trajectories play an important role across domains such as autonomous driving, hurricane forecasting, and epidemic modeling, where practitioners commonly generate ensemble paths by sampling probabilistic models or leveraging multiple…

Machine Learning · Computer Science 2025-08-20 Ruipu Li , Daniel Menacho , Alexander Rodríguez

Conformal prediction is a method of producing prediction sets that can be applied on top of a wide range of prediction algorithms. The method has a guaranteed coverage probability under the standard IID assumption regardless of whether the…

Machine Learning · Computer Science 2014-04-09 Evgeny Burnaev , Vladimir Vovk

Conformal prediction is a valuable tool for quantifying predictive uncertainty of machine learning models. However, its applicability relies on the assumption of data exchangeability, a condition which is often not met in real-world…

Machine Learning · Statistics 2024-12-30 Aleksandr Podkopaev , Darren Xu , Kuang-Chih Lee

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

We present a new distribution-free conformal prediction algorithm for sequential data (e.g., time series), called the \textit{sequential predictive conformal inference} (\texttt{SPCI}). We specifically account for the nature that time…

Machine Learning · Statistics 2023-05-31 Chen Xu , Yao Xie

We introduce a method for online conformal prediction with decaying step sizes. Like previous methods, ours possesses a retrospective guarantee of coverage for arbitrary sequences. However, unlike previous methods, we can simultaneously…

Machine Learning · Statistics 2024-05-29 Anastasios N. Angelopoulos , Rina Foygel Barber , Stephen Bates

Current instance segmentation models achieve high performance on average predictions, but lack principled uncertainty quantification: their outputs are not calibrated, and there is no guarantee that a predicted mask is close to the ground…

Computer Vision and Pattern Recognition · Computer Science 2026-02-11 Kerri Lu , Dan M. Kluger , Stephen Bates , Sherrie Wang

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

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 address the problem of conformal selection, where an agent must select a minimal subset of options to ensure that at least one ``success'' is identified with a pre-specified target probability $\phi$. While traditional online conformal…

Machine Learning · Computer Science 2026-05-15 Sreenivas Gollapudi , Kostas Kollias , Kamesh Munagala , Ali Sinop
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