Kernel-based Optimally Weighted Conformal Time-Series Prediction
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Abstract (arXiv)
In this work, we present a novel conformal prediction method for time-series, which we call Kernel-based Optimally Weighted Conformal Prediction Intervals (KOWCPI). Specifically, KOWCPI adapts the classic Reweighted Nadaraya-Watson (RNW) estimator for quantile regression on dependent data and learns optimal data-adaptive weights. Theoretically, we tackle the challenge of establishing a conditional coverage guarantee for non-exchangeable data under strong mixing conditions on the non-conformity scores. We demonstrate the superior performance of KOWCPI on real and synthetic time-series data against state-of-the-art methods, where KOWCPI achieves narrower confidence intervals without losing coverage.
Key facts. Cited by 12 papers in the map (data through 7 Oct 2026). Builds on 25 of its 54 references that are in the map. First posted on arXiv 27 May 2024.
Builds on
25 of 54 references.
References · 25
- 2019Conformalized Quantile Regressioncited by 620
- 2019Conformal Prediction Under Covariate Shiftcited by 511
- 2021Adaptive Conformal Inference Under Distribution Shiftcited by 360
- 2022Conformal prediction beyond exchangeabilitycited by 348
- 2022Adaptive Conformal Predictions for Time Seriescited by 155
- 2023Conformal Prediction With Conditional Guaranteescited by 146
- 2022Conformal Inference for Online Prediction with Arbitrary Distribution Shiftscited by 123
- 2021Localized Conformal Prediction: A Generalized Inference Framework for Conformal Predictioncited by 112
- 2023Conformal PID Control for Time Series Predictioncited by 85
- 2016Scale-Free Online Learningcited by 83
- 2019A comparison of some conformal quantile regression methodscited by 76
- 2023Improved Online Conformal Prediction via Strongly Adaptive Online Learningcited by 76
13 more
- 2022Sequential Predictive Conformal Inference for Time Seriescited by 71
- 2019Adaptive, Distribution-Free Prediction Intervals for Deep Networkscited by 56
- 2020Predictive Inference Is Free with the Jackknife+-after-Bootstrapcited by 55
- 2020Conformal prediction for time seriescited by 53
- 2024Online conformal prediction with decaying step sizescited by 53
- 2023Conformal Prediction for Time Series with Modern Hopfield Networkscited by 40
- 2022Achieving Risk Control in Online Learning Settingscited by 38
- 2024Conformal prediction for multi-dimensional time series by ellipsoidal setscited by 37
- 2023Distribution-free inference with hierarchical datacited by 14
- 2021Conformal Anomaly Detection on Spatio-Temporal Observations with Missing Datacited by 12
- 2024Bellman Conformal Inference: Calibrating Prediction Intervals For Time Seriescited by 12
- 2022Conformal prediction set for time-seriescited by 5
- 2021Solar Radiation Ramping Events Modeling Using Spatio-temporal Point Processescited by 4
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Citing papers per year: 2024: 1; 2025: 5; 2026: 6.
12 papers.
- 2024Conformal Prediction: A Data Perspectivecited by 25
- 2025Relational Conformal Prediction for Correlated Time Seriescited by 11
- 2025Flow-based Conformal Prediction for Multi-dimensional Time Seriescited by 5
- 2026Leave a Window Out: Modifying the Jackknife for Predictive Inference in Time Seriescited by 4
- 2025ResCP: Reservoir Conformal Prediction for Time Series Forecastingcited by 3
- 2025Conformal Prediction-Driven Adaptive Sampling for Digital Water Twinscited by 1
- 2025Feature Fitted Online Conformal Prediction for Deep Time Series Forecasting Modelcited by 0
- 2026Optimal Spatio-Temporal Decoupling for Bayesian Conformal Predictioncited by 0
- 2026Online Conformal Prediction for Non-Exchangeable Panel Datacited by 0
- 2026DistMatch: Adaptive Binning via Distribution Matching for Robust Sequential Conformal Predictioncited by 0
- 2026Doubly Robust Adaptive Conformal Inference for Causal Effects Under Temporal Dependencecited by 0
- 2026TRACE-CRC: Trajectory-Adaptive Conformal Risk Control for Multi-Step Channel State Information Predictioncited by 0
- 2026TRACE-CRC: Trajectory-Adaptive Conformal Risk Control for Multi-Step Channel State Information Prediction27 Aug 2026
- 2026Doubly Robust Adaptive Conformal Inference for Causal Effects Under Temporal Dependence29 Jun 2026
- 2026DistMatch: Adaptive Binning via Distribution Matching for Robust Sequential Conformal Prediction30 May 2026
- 2026Leave a Window Out: Modifying the Jackknife for Predictive Inference in Time Series28 May 2026
- 2026Online Conformal Prediction for Non-Exchangeable Panel Data18 May 2026
- 2026Optimal Spatio-Temporal Decoupling for Bayesian Conformal Prediction1 May 2026
- 2025Conformal Prediction-Driven Adaptive Sampling for Digital Water Twins6 Nov 2025
- 2025ResCP: Reservoir Conformal Prediction for Time Series Forecasting6 Oct 2025
- 2025Feature Fitted Online Conformal Prediction for Deep Time Series Forecasting Model13 May 2025
- 2025Relational Conformal Prediction for Correlated Time Series13 Feb 2025
- 2025Flow-based Conformal Prediction for Multi-dimensional Time Series8 Feb 2025
- 2024Conformal Prediction: A Data Perspective9 Oct 2024