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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

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

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

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 adapt split conformal prediction and adaptive conformal inference (ACI) to continuous AI agent evaluation, providing distribution-free coverage guarantees for forecasted quality scores. Conformal intervals achieve calibration error below…

Artificial Intelligence · Computer Science 2026-05-20 Yuxuan Gao , Megan Wang , Yi Ling Yu

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

Regime transitions routinely break stationarity in time series, making calibrated uncertainty as important as point accuracy. We study distribution-free uncertainty for regime-switching forecasting by coupling Deep Switching State Space…

Machine Learning · Computer Science 2026-02-09 Echo Diyun LU , Charles Findling , Marianne Clausel , Alessandro Leite , Wei Gong , Pierric Kersaudy

Subseasonal forecasting -- predicting temperature and precipitation 2 to 6 weeks ahead -- is critical for effective water allocation, wildfire management, and drought and flood mitigation. Recent international research efforts have advanced…

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

Constructing prediction intervals for time series forecasting is challenging, particularly when practitioners rely solely on point forecasts. While previous research has focused on creating increasingly efficient intervals, we argue that…

Methodology · Statistics 2025-01-20 Carlos Sebastián , Carlos E. González-Guillén , Jesús Juan

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 Bellman Conformal Inference (BCI), a framework that wraps around any time series forecasting models and provides approximately calibrated prediction intervals. Unlike existing methods, BCI is able to leverage multi-step ahead…

Machine Learning · Computer Science 2024-02-12 Zitong Yang , Emmanuel Candès , Lihua Lei

Rigorous uncertainty quantification is essential for the safe deployment of autonomous systems in unconstrained environments. Conformal Prediction (CP) provides a distribution-free framework for this task, yet its standard formulations rely…

Machine Learning · Computer Science 2026-05-14 Renukanandan Tumu , Aditya Singh , Rahul Mangharam

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

We propose an adaptive confidence interval procedure (CIP) for the coefficients in the normal linear regression model. This procedure has a frequentist coverage rate that is constant as a function of the model parameters, yet provides…

Methodology · Statistics 2017-07-10 Peter D. Hoff , Chaoyu Yu

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

This paper introduces Conformal Thresholded Intervals (CTI), a novel conformal regression method that aims to produce the smallest possible prediction set with guaranteed coverage. Unlike existing methods that rely on nested conformal…

Machine Learning · Computer Science 2025-01-03 Rui Luo , Zhixin Zhou

When the likelihood is analytically unavailable and computationally intractable, approximate Bayesian computation (ABC) has emerged as a widely used methodology for approximate posterior inference; however, it suffers from severe…

Methodology · Statistics 2025-05-08 Wenhui Sophia Lu , Wing Hung Wong

A new method is proposed for the correction of confidence intervals when the original interval does not have the correct nominal coverage probabilities in the frequentist sense. The proposed method is general and does not require any…

Computation · Statistics 2013-08-30 P. Menendez , Y. Fan , P. H. Garthwaite , S. A. Sisson
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