Exact and Robust Conformal Inference Methods for Predictive Machine Learning With Dependent Data
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Abstract (arXiv)
We extend conformal inference to general settings that allow for time series data. Our proposal is developed as a randomization method and accounts for potential serial dependence by including block structures in the permutation scheme. As a result, the proposed method retains the exact, model-free validity when the data are i.i.d. or more generally exchangeable, similar to usual conformal inference methods. When exchangeability fails, as is the case for common time series data, the proposed approach is approximately valid under weak assumptions on the conformity score.
Key facts. Cited by 66 papers in the map (data through 14 Oct 2026). First posted on arXiv 17 Feb 2018.
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Citing papers per year: 2021: 8; 2022: 10; 2023: 11; 2024: 10; 2025: 15; 2026: 12.
66 papers.
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- 2021A Gentle Introduction to Conformal Prediction and Distribution-Free Uncertainty Quantificationcited by 792
- 2021Learn then Test: Calibrating Predictive Algorithms to Achieve Risk Controlcited by 271
- 2022Adaptive Conformal Predictions for Time Seriescited by 161
- 2022Conformal Inference for Online Prediction with Arbitrary Distribution Shiftscited by 128
- 2023Conformal PID Control for Time Series Predictioncited by 88
- 2023Improved Online Conformal Prediction via Strongly Adaptive Online Learningcited by 78
- 2022Practical Adversarial Multivalid Conformal Predictioncited by 65
- 2024Online conformal prediction with decaying step sizescited by 56
- 2024Conformal Prediction for Natural Language Processing: A Surveycited by 53
- 2021Online Multivalid Learning: Means, Moments, and Prediction Intervalscited by 49
- 2021Conformal Uncertainty Sets for Robust Optimizationcited by 49
- 2021PAC Prediction Sets Under Covariate Shiftcited by 45
38 more
- 2022Achieving Risk Control in Online Learning Settingscited by 39
- 2021Valid prediction intervals for regression problemscited by 29
- 2023Non-Exchangeable Conformal Risk Controlcited by 29
- 2024Conformal Prediction: A Data Perspectivecited by 25
- 2025Multivariate Conformal Prediction using Optimal Transportcited by 22
- 2021Stable Conformal Prediction Setscited by 19
- 2023Conformal Prediction for Network-Assisted Regressioncited by 14
- 2022Recommendation Systems with Distribution-Free Reliability Guaranteescited by 13
- 2024Bellman Conformal Inference: Calibrating Prediction Intervals For Time Seriescited by 13
- 2025Error-quantified Conformal Inference for Time Seriescited by 12
- 2025Conformal Inference under High-Dimensional Covariate Shifts via Likelihood-Ratio Regularizationcited by 12
- 2025Conformal Prediction under Levy-Prokhorov Distribution Shifts: Robustness to Local and Global Perturbationscited by 12
- 2024Conformal online model aggregationcited by 11
- 2022PAC-Wrap: Semi-Supervised PAC Anomaly Detectioncited by 10
- 2024Towards Modeling Uncertainties of Self-explaining Neural Networks via Conformal Predictioncited by 10
- 2025Predictive inference for time series: why is split conformal effective despite temporal dependence?cited by 10
- 2025Synthetic-Powered Predictive Inferencecited by 9
- 2021Root-finding Approaches for Computing Conformal Prediction Setcited by 8
- 2022Extending Conformal Prediction to Hidden Markov Models with Exact Validity via de Finetti's Theorem for Markov Chainscited by 8
- 2023SymmPI: Predictive Inference for Data with Group Symmetriescited by 8
- 2022Conformal Prediction Bands for Two-Dimensional Functional Time Seriescited by 7
- 2025Conformal Information Pursuit for Interactively Guiding Large Language Modelscited by 7
- 2023Efficient and Multiply Robust Risk Estimation under General Forms of Dataset Shiftcited by 5
- 2025Non-exchangeable Conformal Prediction with Optimal Transport: Tackling Distribution Shifts with Unlabeled Datacited by 5
- 2025Adaptive Coverage Policies in Conformal Predictioncited by 5
- 2022Distribution-Free Finite-Sample Guarantees and Split Conformal Predictioncited by 4
- 2023Conformalization of Sparse Generalized Linear Modelscited by 4
- 2024Predictive Inference in Multi-environment Scenarioscited by 4
- 2025JAPAN: Joint Adaptive Prediction Areas with Normalising-Flowscited by 4
- 2026Leave a Window Out: Modifying the Jackknife for Predictive Inference in Time Seriescited by 4
- 2023On the Validity of Conformal Prediction for Network Data Under Non-Uniform Samplingcited by 3
- 2023Sparse Deep Learning for Time Series Data: Theory and Applicationscited by 3
- 2024JANET: Joint Adaptive predictioN-region Estimation for Time-seriescited by 3
- 2025From Uncertain to Safe: Conformal Adaptation of Diffusion Models for Safe PDE Controlcited by 3
- 2023Design-based conformal predictioncited by 2
- 2023From Reactive to Proactive Volatility Modeling with Hemisphere Neural Networkscited by 2
- 2025A Gentle Introduction to Conformal Time Series Forecastingcited by 2
- 2022A general framework for multi-step ahead adaptive conformal heteroscedastic time series forecastingcited by 1
50 most cited of 66 All 66 (JSON)
- 2026State-Matched Sequence Conformal Prediction14 Oct 2026
- 2026Conformal Coverage of Time Series: Validity and Inference27 Sep 2026
- 2026Valid and Efficient Split Conformal Regression for Time Series27 Sep 2026
- 2026Autonomous Research Project Management as an Agent Skill: A Case Study in Exact Spectral Spatial Regression16 Sep 2026
- 2026The Exceedance Design Effect: Effective Sample Size for Thresholds under Clustering21 Aug 2026
- 2026TRACE-C: Rank-Calibrated Relational Anomaly Detection for Multi-Stream Operational Telemetry21 Aug 2026
- 2026Conformal Risk Sharing: Certified Cost Allocation with Participation Guarantees4 Jun 2026
- 2026Leave a Window Out: Modifying the Jackknife for Predictive Inference in Time Series28 May 2026
- 2026Online Conformal Prediction with Corrupted Feedback19 May 2026
- 2026Online Conformal Prediction: Enforcing monotonicity via Online Optimization12 May 2026
- 2026Conflict Forecasting via Conformal Prediction for Markov Processes28 Apr 2026
- 2026Conformalized Super Learner24 Apr 2026
38 more
- 2025A Gentle Introduction to Conformal Time Series Forecasting17 Nov 2025
- 2025Online conformal inference with retrospective adjustment for faster adaptation to distribution shift6 Nov 2025
- 2025Adaptive Coverage Policies in Conformal Prediction5 Oct 2025
- 2025Predictive inference for time series: why is split conformal effective despite temporal dependence?2 Oct 2025
- 2025Conformal Unlearning: A New Paradigm for Unlearning in Conformal Predictors5 Aug 2025
- 2025Non-exchangeable Conformal Prediction with Optimal Transport: Tackling Distribution Shifts with Unlabeled Data14 Jul 2025
- 2025Conformal Information Pursuit for Interactively Guiding Large Language Models4 Jul 2025
- 2025JAPAN: Joint Adaptive Prediction Areas with Normalising-Flows29 May 2025
- 2025STACI: Spatio-Temporal Aleatoric Conformal Inference27 May 2025
- 2025Synthetic-Powered Predictive Inference19 May 2025
- 2025Conformal Prediction under Levy-Prokhorov Distribution Shifts: Robustness to Local and Global Perturbations19 Feb 2025
- 2025Conformal Inference under High-Dimensional Covariate Shifts via Likelihood-Ratio Regularization18 Feb 2025
- 2025Multivariate Conformal Prediction using Optimal Transport5 Feb 2025
- 2025From Uncertain to Safe: Conformal Adaptation of Diffusion Models for Safe PDE Control4 Feb 2025
- 2025Error-quantified Conformal Inference for Time Series2 Feb 2025
- 2024Conformal Predictive Portfolio Selection19 Oct 2024
- 2024Conformal Prediction: A Data Perspective9 Oct 2024
- 2024JANET: Joint Adaptive predictioN-region Estimation for Time-series8 Jul 2024
- 2024Single Trajectory Conformal Prediction3 Jun 2024
- 2024Conformal Prediction for Natural Language Processing: A Survey3 May 2024
- 2024Predictive Inference in Multi-environment Scenarios25 Mar 2024
- 2024Conformal online model aggregation22 Mar 2024
- 2024Bellman Conformal Inference: Calibrating Prediction Intervals For Time Series7 Feb 2024
- 2024Online conformal prediction with decaying step sizes2 Feb 2024
- 2024Towards Modeling Uncertainties of Self-explaining Neural Networks via Conformal Prediction3 Jan 2024
- 2023SymmPI: Predictive Inference for Data with Group Symmetries26 Dec 2023
- 2023From Reactive to Proactive Volatility Modeling with Hemisphere Neural Networks27 Nov 2023
- 2023Sparse Deep Learning for Time Series Data: Theory and Applications5 Oct 2023
- 2023Non-Exchangeable Conformal Risk Control2 Oct 2023
- 2023Conformal PID Control for Time Series Prediction31 Jul 2023
- 2023Conformalization of Sparse Generalized Linear Models11 Jul 2023
- 2023Efficient and Multiply Robust Risk Estimation under General Forms of Dataset Shift28 Jun 2023
- 2023On the Validity of Conformal Prediction for Network Data Under Non-Uniform Sampling12 Jun 2023
- 2023Design-based conformal prediction2 Mar 2023
- 2023Conformal Prediction for Network-Assisted Regression20 Feb 2023
- 2023Improved Online Conformal Prediction via Strongly Adaptive Online Learning15 Feb 2023
- 2022Distribution-Free Finite-Sample Guarantees and Split Conformal Prediction26 Oct 2022
- 2022Extending Conformal Prediction to Hidden Markov Models with Exact Validity via de Finetti's Theorem for Markov Chains5 Oct 2022
50 newest of 66 All 66 (JSON)
- 2021A Gentle Introduction to Conformal Prediction and Distribution-Free Uncertainty Quantificationcited by 792
- 2021Learn then Test: Calibrating Predictive Algorithms to Achieve Risk Controlcited by 271
- 2022Adaptive Conformal Predictions for Time Seriescited by 161
- 2022Conformal Inference for Online Prediction with Arbitrary Distribution Shiftscited by 128
- 2023Conformal PID Control for Time Series Predictioncited by 88
- 2023Improved Online Conformal Prediction via Strongly Adaptive Online Learningcited by 78
- 2022Practical Adversarial Multivalid Conformal Predictioncited by 65
- 2024Online conformal prediction with decaying step sizescited by 56
- 2024Conformal Prediction for Natural Language Processing: A Surveycited by 53
- 2021Online Multivalid Learning: Means, Moments, and Prediction Intervalscited by 49
- 2021Conformal Uncertainty Sets for Robust Optimizationcited by 49
- 2021PAC Prediction Sets Under Covariate Shiftcited by 45
12 most cited of 64 All 64 (JSON)
- 2026State-Matched Sequence Conformal Prediction14 Oct 2026
- 2026Conformal Coverage of Time Series: Validity and Inference27 Sep 2026
- 2026Valid and Efficient Split Conformal Regression for Time Series27 Sep 2026
- 2026Autonomous Research Project Management as an Agent Skill: A Case Study in Exact Spectral Spatial Regression16 Sep 2026
- 2026The Exceedance Design Effect: Effective Sample Size for Thresholds under Clustering21 Aug 2026
- 2026TRACE-C: Rank-Calibrated Relational Anomaly Detection for Multi-Stream Operational Telemetry21 Aug 2026
- 2026Conformal Risk Sharing: Certified Cost Allocation with Participation Guarantees4 Jun 2026
- 2026Leave a Window Out: Modifying the Jackknife for Predictive Inference in Time Series28 May 2026
- 2026Online Conformal Prediction with Corrupted Feedback19 May 2026
- 2026Online Conformal Prediction: Enforcing monotonicity via Online Optimization12 May 2026
- 2026Conflict Forecasting via Conformal Prediction for Markov Processes28 Apr 2026
- 2026Conformalized Super Learner24 Apr 2026
12 newest of 64 All 64 (JSON)