Conformal Prediction: a Unified Review of Theory and New Challenges
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Abstract (arXiv)
In this work we provide a review of basic ideas and novel developments about Conformal Prediction -- an innovative distribution-free, non-parametric forecasting method, based on minimal assumptions -- that is able to yield in a very straightforward way predictions sets that are valid in a statistical sense also in in the finite sample case. The in-depth discussion provided in the paper covers the theoretical underpinnings of Conformal Prediction, and then proceeds to list the more advanced developments and adaptations of the original idea.
Key facts. Cited by 118 papers in the map (data through 7 Oct 2026). First posted on arXiv 16 May 2020.
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Citing papers per year: 2021: 2; 2022: 14; 2023: 14; 2024: 33; 2025: 35; 2026: 20.
118 papers.
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- 2024Benchmarking LLMs via Uncertainty Quantificationcited by 124
- 2022Sequential Predictive Conformal Inference for Time Seriescited by 71
- 2021Conformal Uncertainty Sets for Robust Optimizationcited by 49
- 2023Conformal Prediction for Time Series with Modern Hopfield Networkscited by 40
- 2024Conformal prediction for multi-dimensional time series by ellipsoidal setscited by 37
- 2023Conformal Prediction for Federated Uncertainty Quantification Under Label Shiftcited by 29
- 2024Uncertainty-Aware Evaluation for Vision-Language Modelscited by 28
- 2024Fast yet Safe: Early-Exiting with Risk Controlcited by 27
- 2023One-Shot Federated Conformal Predictioncited by 26
- 2024Conformal Prediction: A Data Perspectivecited by 25
- 2024Adaptive Bounding Box Uncertainties via Two-Step Conformal Predictioncited by 23
- 2022Conformalized Fairness via Quantile Regressioncited by 19
38 more
- 2024Conformal Prediction for Class-wise Coverage via Augmented Label Rank Calibrationcited by 18
- 2021Anomalous Edge Detection in Edge Exchangeable Social Network Modelscited by 17
- 2023Equal Opportunity of Coverage in Fair Regressioncited by 16
- 2024Enhancing Conformal Prediction Using E-Test Statisticscited by 16
- 2023Universal distribution of the empirical coverage in split conformal predictioncited by 15
- 2022JAWS: Auditing Predictive Uncertainty Under Covariate Shiftcited by 14
- 2024Conformal Risk Minimization with Variance Reductioncited by 10
- 2022Conformal Credal Self-Supervised Learningcited by 8
- 2022Extending Conformal Prediction to Hidden Markov Models with Exact Validity via de Finetti's Theorem for Markov Chainscited by 8
- 2024Cross-Validation Conformal Risk Controlcited by 8
- 2024Conformal Risk Control for Ordinal Classificationcited by 8
- 2022Conformal Prediction Bands for Two-Dimensional Functional Time Seriescited by 7
- 2022Exact and Approximate Conformal Inference for Multi-Output Regressioncited by 7
- 2024Conformal Convolution and Monte Carlo Meta-learners for Predictive Inference of Individual Treatment Effectscited by 7
- 2024CONFLARE: CONFormal LArge language model REtrievalcited by 6
- 2022Conformal prediction set for time-seriescited by 5
- 2022Improved conformalized quantile regressioncited by 5
- 2022Nonparametric Quantile Regression: Non-Crossing Constraints and Conformal Predictioncited by 5
- 2022Intervening With Confidence: Conformal Prescriptive Monitoring of Business Processescited by 5
- 2024On-line conformalized neural networks ensembles for probabilistic forecasting of day-ahead electricity pricescited by 5
- 2025Improving the statistical efficiency of cross-conformal predictioncited by 5
- 2023Distribution-Free Matrix Prediction Under Arbitrary Missing Patterncited by 4
- 2023Prescriptive Process Monitoring Under Resource Constraints: A Reinforcement Learning Approachcited by 4
- 2024Adaptive Conformal Inference by Particle Filtering under Hidden Markov Modelscited by 4
- 2025Efficient MAP Estimation of LLM Judgment Performance with Prior Transfercited by 4
- 2025COMPASS: Robust Feature Conformal Prediction for Medical Segmentation Metricscited by 4
- 2023Conformal Loss-Controlling Predictioncited by 3
- 2024Metric-Guided Conformal Bounds for Probabilistic Image Reconstructioncited by 3
- 2024Uncertainty quantification in metric spacescited by 3
- 2024JANET: Joint Adaptive predictioN-region Estimation for Time-seriescited by 3
- 2024A Conformal Approach to Feature-based Newsvendor under Model Misspecificationcited by 3
- 2025Conformal Object Detection by Sequential Risk Controlcited by 3
- 2023Conformal prediction for frequency-severity modelingcited by 2
- 2023Probabilistic Safety Regions Via Finite Families of Scalable Classifierscited by 2
- 2024Two-Stage Surrogate Modeling for Data-Driven Design Optimization with Application to Composite Microstructure Generationcited by 2
- 2024Distribution-free Conformal Prediction for Ordinal Classificationcited by 2
- 2024Structured Learning of Compositional Sequential Interventionscited by 2
- 2024Bin-Conditional Conformal Prediction of Fatalities from Armed Conflictcited by 2
50 most cited of 118 All 118 (JSON)
- 2026SimplexUQ: An Evaluation Framework and Benchmark for Conformal Uncertainty on Simplex-Valued Predictions30 Sep 2026
- 2026Transfer Learning with Conformalized Quantile Regression for Solar PV Forecasting Under Load-Shedding-Driven Data Scarcity22 Sep 2026
- 2026Generalized Hierarchical Conformal Prediction16 Aug 2026
- 2026ReliableNet: A Chance-Constrained Approach to Trustworthy Classification in Deep Learning10 Aug 2026
- 2026Localized Anomaly Detection via Differentiable D-vine Copulas27 Jul 2026
- 2026ConRad: Efficient Conformal Prediction for Radiomics9 Jul 2026
- 2026Coordinate Singularities Break Conformal Coverage for Gaze and Head Pose29 Jun 2026
- 2026Conformal Prediction for Neural Operators: Distribution-Free Uncertainty Quantification in Physics Simulation7 Jun 2026
- 2026Set-Preserving Calibration from Conformal P-Values to E-Values2 Jun 2026
- 2026Conformal Certification of Reasoning Trace Prefixes28 May 2026
- 2026GeoCert: Certified Geometric AI for Reliable Forecasting25 Apr 2026
- 2026Conformal Robust Set Estimation20 Apr 2026
38 more
- 2026Conformal Margin Risk Minimization: An Envelope Framework for Robust Learning under Label Noise7 Apr 2026
- 2026Debiased Machine Learning for Conformal Prediction of Counterfactual Outcomes Under Runtime Confounding4 Apr 2026
- 2026Elements of Conformal Prediction25 Mar 2026
- 2026SPIRIT: Perceptive Shared Autonomy for Robust Robotic Manipulation under Deep Learning Uncertainty5 Mar 2026
- 2026Efficient Conformal Volumetry for Template-Based Segmentation28 Feb 2026
- 2026Nonparametric Distribution Regression Re-calibration13 Feb 2026
- 2026CommCP: Efficient Multi-Agent Coordination via LLM-Based Communication with Conformal Prediction5 Feb 2026
- 2026Improving Backward Conformal Prediction via Non-Conformity Score Transformation2 Feb 2026
- 2025Multivariate Uncertainty Quantification with Tomographic Quantile Forests18 Dec 2025
- 2025Conformal bandits: bringing statistical validity and reward efficiency under weak arm separability10 Dec 2025
- 2025WTNN: Weibull-Tailored Neural Networks for survival analysis9 Dec 2025
- 2025Reliable Statistical Guarantees for Conformal Predictors with Small Datasets4 Dec 2025
- 2025Conformal Correction for Efficiency May be at Odds with Entropy2 Dec 2025
- 2025Uncertainty Quantification for Deep Regression using Contextualised Normalizing Flows30 Nov 2025
- 2025Nonparametric estimation of conditional probability distributions using a generative approach based on conditional push-forward neural networks18 Nov 2025
- 2025A Gentle Introduction to Conformal Time Series Forecasting17 Nov 2025
- 2025GeoPl@ntNet: A Platform for Exploring Essential Biodiversity Variables16 Nov 2025
- 2025Residual Distribution Predictive Systems30 Oct 2025
- 2025Conformalized Polynomial Chaos Expansion for Uncertainty-aware Surrogate Modeling25 Oct 2025
- 2025Synergizing chemical and AI communities for advancing laboratories of the future18 Oct 2025
- 2025Km-scale dynamical downscaling through conformalized latent diffusion models15 Oct 2025
- 2025COMPASS: Robust Feature Conformal Prediction for Medical Segmentation Metrics26 Sep 2025
- 2025A Systematic Review of Conformal Inference Procedures for Treatment Effect Estimation: Methods and Challenges25 Sep 2025
- 2025Symbolic Quantile Regression for the Interpretable Prediction of Conditional Quantiles11 Aug 2025
- 2025Calibrated Prediction Set in Fault Detection with Risk Guarantees via Significance Tests2 Aug 2025
- 2025Approximating Full Conformal Prediction for Neural Network Regression with Gauss-Newton Influence27 Jul 2025
- 2025Conformal and kNN Predictive Uncertainty Quantification Algorithms in Metric Spaces21 Jul 2025
- 2025Conformal Prediction for Privacy-Preserving Machine Learning13 Jul 2025
- 2025Class conditional conformal prediction for multiple inputs by p-value aggregation9 Jul 2025
- 2025Set Valued Predictions For Robust Domain Generalization3 Jul 2025
- 2025Ambiguous Online Learning24 Jun 2025
- 2025When Can We Reuse a Calibration Set for Multiple Conformal Predictions?24 Jun 2025
- 2025Exchangeability in Neural Network and its Application to Dynamic Pruning2 Jun 2025
- 2025Conformal Object Detection by Sequential Risk Control29 May 2025
- 2025Smart Surrogate Losses for Contextual Stochastic Linear Optimization with Robust Constraints28 May 2025
- 2025MetaSTNet: Multimodal Meta-learning for Cellular Traffic Conformal Prediction26 May 2025
- 2025Efficient MAP Estimation of LLM Judgment Performance with Prior Transfer17 Apr 2025
- 2025Dual-Splitting Conformal Prediction for Multi-Step Time Series Forecasting27 Mar 2025
50 newest of 118 All 118 (JSON)
- 2024Fast yet Safe: Early-Exiting with Risk Controlcited by 27
- 2024Fast yet Safe: Early-Exiting with Risk Control31 May 2024
- 2026Conformal Certification of Reasoning Trace Prefixescited by 1
- 2026Conformal Certification of Reasoning Trace Prefixes28 May 2026
- 2024Uncertainty-Aware Evaluation for Vision-Language Modelscited by 28
- 2024Uncertainty-Aware Evaluation for Vision-Language Models22 Feb 2024
- 2024CONFLARE: CONFormal LArge language model REtrievalcited by 6
- 2024CONFLARE: CONFormal LArge language model REtrieval4 Apr 2024
- 2024Benchmarking LLMs via Uncertainty Quantificationcited by 124
- 2022Sequential Predictive Conformal Inference for Time Seriescited by 71
- 2021Conformal Uncertainty Sets for Robust Optimizationcited by 49
- 2023Conformal Prediction for Time Series with Modern Hopfield Networkscited by 40
- 2024Conformal prediction for multi-dimensional time series by ellipsoidal setscited by 37
- 2023Conformal Prediction for Federated Uncertainty Quantification Under Label Shiftcited by 29
- 2023One-Shot Federated Conformal Predictioncited by 26
- 2024Conformal Prediction: A Data Perspectivecited by 25
- 2024Adaptive Bounding Box Uncertainties via Two-Step Conformal Predictioncited by 23
- 2022Conformalized Fairness via Quantile Regressioncited by 19
- 2024Conformal Prediction for Class-wise Coverage via Augmented Label Rank Calibrationcited by 18
- 2021Anomalous Edge Detection in Edge Exchangeable Social Network Modelscited by 17
12 most cited of 112 All 112 (JSON)
- 2026SimplexUQ: An Evaluation Framework and Benchmark for Conformal Uncertainty on Simplex-Valued Predictions30 Sep 2026
- 2026Transfer Learning with Conformalized Quantile Regression for Solar PV Forecasting Under Load-Shedding-Driven Data Scarcity22 Sep 2026
- 2026Generalized Hierarchical Conformal Prediction16 Aug 2026
- 2026ReliableNet: A Chance-Constrained Approach to Trustworthy Classification in Deep Learning10 Aug 2026
- 2026Localized Anomaly Detection via Differentiable D-vine Copulas27 Jul 2026
- 2026ConRad: Efficient Conformal Prediction for Radiomics9 Jul 2026
- 2026Coordinate Singularities Break Conformal Coverage for Gaze and Head Pose29 Jun 2026
- 2026Conformal Prediction for Neural Operators: Distribution-Free Uncertainty Quantification in Physics Simulation7 Jun 2026
- 2026Set-Preserving Calibration from Conformal P-Values to E-Values2 Jun 2026
- 2026GeoCert: Certified Geometric AI for Reliable Forecasting25 Apr 2026
- 2026Conformal Robust Set Estimation20 Apr 2026
- 2026Conformal Margin Risk Minimization: An Envelope Framework for Robust Learning under Label Noise7 Apr 2026
12 newest of 112 All 112 (JSON)