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Conformal prediction is a powerful post-hoc framework for uncertainty quantification that provides distribution-free coverage guarantees. However, these guarantees crucially rely on the assumption of exchangeability. This assumption is…

Methodology · Statistics 2025-11-18 M. Stocker , W. Małgorzewicz , M. Fontana , S. Ben Taieb

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

In this paper, we consider contextual stochastic optimization using Nadaraya-Watson kernel regression, which is one of the most common approaches in nonparametric regression. Recent studies have explored the asymptotic convergence behavior…

Optimization and Control · Mathematics 2024-07-16 Yijie Wang , Grani A. Hanasusanto , Chin Pang Ho

Conformal Predictors (CP) are wrappers around ML models, providing error guarantees under weak assumptions on the data distribution. They are suitable for a wide range of problems, from classification and regression to anomaly detection.…

Machine Learning · Computer Science 2021-10-06 Giovanni Cherubin , Konstantinos Chatzikokolakis , Martin Jaggi

Conformal prediction has been explored as a general and efficient way to provide uncertainty quantification for time series. However, current methods struggle to handle time series data with change points - sudden shifts in the underlying…

Machine Learning · Computer Science 2025-12-02 Sophia Sun , Rose Yu

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

The random feature (RF) approach is a well-established and efficient tool for scalable kernel methods, but existing literature has primarily focused on kernel ridge regression with random features (KRR-RF), which has limitations in handling…

Machine Learning · Statistics 2025-03-18 Caixing Wang , Xingdong Feng

The rapid growth of AI applications is dramatically increasing data center energy demand, exacerbating carbon emissions, and necessitating a shift towards 24/7 carbon-free energy (CFE). Unlike traditional annual energy matching, 24/7 CFE…

Systems and Control · Electrical Eng. & Systems 2025-10-07 Yijie Yang , Jian Shi , Dan Wang , Chenye Wu , Zhu Han

Online conformal prediction (OCP) seeks prediction intervals that achieve long-run $1-\alpha$ coverage for arbitrary (possibly adversarial) data streams, while remaining as informative as possible. Existing OCP methods often require manual…

Machine Learning · Statistics 2026-02-04 Tuo Liu , Edgar Dobriban , Francesco Orabona

Conformal prediction methodologies have significantly advanced the quantification of uncertainties in predictive models. Yet, the construction of confidence regions for model parameters presents a notable challenge, often necessitating…

Machine Learning · Statistics 2024-05-30 Charles Guille-Escuret , Eugene Ndiaye

Conformal prediction is a simple and powerful tool that can quantify uncertainty without any distributional assumptions. Many existing methods only address the average coverage guarantee, which is not ideal compared to the stronger…

Machine Learning · Statistics 2023-02-21 Xing Han , Ziyang Tang , Joydeep Ghosh , Qiang Liu

In this paper, sparsification techniques aided online prediction algorithms in a reproducing kernel Hilbert space are studied for nonstationary time series. The online prediction algorithms as usual consist of the selection of kernel…

Signal Processing · Electrical Eng. & Systems 2022-05-13 Jinhua Guo , Hao Chen , Jingxin Zhang , Sheng Chen

We propose a network architecture capable of reliably estimating uncertainty of regression based predictions without sacrificing accuracy. The current state-of-the-art uncertainty algorithms either fall short of achieving prediction…

Machine Learning · Computer Science 2022-02-22 Kinjal Patel , Steven Waslander

Conformal prediction is a popular method to construct prediction intervals with marginal coverage guarantees from black-box machine learning models. In applications with potentially high-impact events, such as flooding or financial crises,…

Methodology · Statistics 2026-04-02 Olivier C. Pasche , Henry Lam , Sebastian Engelke

Conformal Prediction (CP) is a popular framework for constructing prediction bands with valid coverage in finite samples, while being free of any distributional assumption. A well-known limitation of conformal prediction is the lack of…

Machine Learning · Computer Science 2025-05-28 Louis Allain , Sébastien da Veiga , Brian Staber

In this paper we estimate the dynamic parameters of a time-varying coefficient model through radial kernel functions in the context of a longitudinal study. Our proposal is based on a linear combination of weighted kernel functions…

Methodology · Statistics 2021-03-02 Juan Sosa , Lina Buitrago

The celebrated Nadaraya-Watson kernel estimator is among the most studied method for nonparametric regression. A classical result is that its rate of convergence depends on the number of covariates and deteriorates quickly as the dimension…

Statistics Theory · Mathematics 2017-11-28 Daniel Conn , Gang Li

In this paper, we apply conformal prediction to time series data. Conformal prediction isa method that produces predictive regions given a confidence level. The regions outputs arealways valid under the exchangeability assumption. However,…

Methodology · Statistics 2021-10-26 Samya Tajmouati , Bouazza El Wahbi , Mohammed Dakkoun

Conformal prediction is a theoretically grounded framework for constructing predictive intervals. We study conformal prediction with missing values in the covariates -- a setting that brings new challenges to uncertainty quantification. We…

Machine Learning · Statistics 2023-06-06 Margaux Zaffran , Aymeric Dieuleveut , Julie Josse , Yaniv Romano

We propose a method for non-parametric conditional distribution estimation based on partitioning covariate-sorted observations into contiguous bins and using the within-bin empirical CDF as the predictive distribution. Bin boundaries are…

Machine Learning · Computer Science 2026-05-13 Paolo Toccaceli
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