Classification with Valid and Adaptive Coverage
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Abstract (arXiv)
Conformal inference, cross-validation+, and the jackknife+ are hold-out methods that can be combined with virtually any machine learning algorithm to construct prediction sets with guaranteed marginal coverage. In this paper, we develop specialized versions of these techniques for categorical and unordered response labels that, in addition to providing marginal coverage, are also fully adaptive to complex data distributions, in the sense that they perform favorably in terms of approximate conditional coverage compared to alternative methods. The heart of our contribution is a novel conformity score, which we explicitly demonstrate to be powerful and intuitive for classification problems, but whose underlying principle is potentially far more general. Experiments on synthetic and real data demonstrate the practical value of our theoretical guarantees, as well as the statistical advantages of the proposed methods over the existing alternatives.
Key facts. Cited by 390 papers in the map (data through 7 Oct 2026). First posted on arXiv 3 Jun 2020.
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Citing papers per year: 2021: 17; 2022: 37; 2023: 45; 2024: 94; 2025: 116; 2026: 81.
390 papers.
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- 2021A Gentle Introduction to Conformal Prediction and Distribution-Free Uncertainty Quantificationcited by 777
- 2021Adaptive Conformal Inference Under Distribution Shiftcited by 360
- 2022Conformal Risk Controlcited by 290
- 2021Distribution-Free, Risk-Controlling Prediction Setscited by 278
- 2021Learn then Test: Calibrating Predictive Algorithms to Achieve Risk Controlcited by 256
- 2021Testing for Outliers with Conformal p-valuescited by 133
- 2024Benchmarking LLMs via Uncertainty Quantificationcited by 124
- 2023Class-Conditional Conformal Prediction with Many Classescited by 109
- 2021Learning Optimal Conformal Classifierscited by 108
- 2022Image-to-Image Regression with Distribution-Free Uncertainty Quantification and Applications in Imagingcited by 107
- 2021Distribution-free uncertainty quantification for classification under label shiftcited by 99
- 2023Uncertainty Quantification over Graph with Conformalized Graph Neural Networkscited by 79
38 more
- 2021Conformal Prediction using Conditional Histogramscited by 77
- 2023Improved Online Conformal Prediction via Strongly Adaptive Online Learningcited by 76
- 2021Fair Conformal Predictors for Applications in Medical Imagingcited by 74
- 2022Sequential Predictive Conformal Inference for Time Seriescited by 71
- 2022Batch Multivalid Conformal Predictioncited by 66
- 2022Practical Adversarial Multivalid Conformal Predictioncited by 65
- 2022Training Uncertainty-Aware Classifiers with Conformalized Deep Learningcited by 62
- 2022Improving Expert Predictions with Conformal Predictioncited by 54
- 2021Conformalized Survival Analysiscited by 53
- 2023Conformal Prediction for Deep Classifier via Label Rankingcited by 52
- 2022Probabilistic Conformal Prediction Using Conditional Random Samplescited by 47
- 2023Federated Conformal Predictors for Distributed Uncertainty Quantificationcited by 46
- 2024Length Optimization in Conformal Predictioncited by 39
- 2021Tracking the risk of a deployed model and detecting harmful distribution shiftscited by 38
- 2022Achieving Risk Control in Online Learning Settingscited by 38
- 2022Improving Trustworthiness of AI Disease Severity Rating in Medical Imaging with Ordinal Conformal Prediction Setscited by 38
- 2024Conformal prediction for multi-dimensional time series by ellipsoidal setscited by 37
- 2025Decision Theoretic Foundations for Conformal Prediction: Optimal Uncertainty Quantification for Risk-Averse Agentscited by 37
- 2024Conformal Prediction Sets Improve Human Decision Makingcited by 35
- 2022On the Utility of Prediction Sets in Human-AI Teamscited by 34
- 2021Calibrated and Sharp Uncertainties in Deep Learning via Density Estimationcited by 33
- 2022Predictive Inference with Feature Conformal Predictioncited by 33
- 2023Object Pose Estimation with Statistical Guarantees: Conformal Keypoint Detection and Geometric Uncertainty Propagationcited by 33
- 2023Conformal Nucleus Samplingcited by 32
- 2023Conformal prediction under ambiguous ground truthcited by 31
- 2023Conformal Prediction for Federated Uncertainty Quantification Under Label Shiftcited by 29
- 2022Conformal Prediction Sets with Limited False Positivescited by 28
- 2022Distribution Free Prediction Sets for Node Classificationcited by 28
- 2024Uncertainty-Aware Evaluation for Vision-Language Modelscited by 28
- 2021Set-valued classification -- overview via a unified frameworkcited by 27
- 2024Provably Robust Conformal Prediction with Improved Efficiencycited by 27
- 2025Analyzing Uncertainty of LLM-as-a-Judge: Interval Evaluations with Conformal Predictioncited by 26
- 2022Efficient and Differentiable Conformal Prediction with General Function Classescited by 25
- 2023Beyond Confidence: Reliable Models Should Also Consider Atypicalitycited by 25
- 2023Probabilistically robust conformal predictioncited by 25
- 2024Towards Human-AI Complementarity with Prediction Setscited by 25
- 2024Conformal Prediction: A Data Perspectivecited by 25
- 2023Adaptive conformal classification with noisy labelscited by 24
50 most cited of 390 All 390 (JSON)
- 2026Scaling Full Conformal Image Classifiers29 Sep 2026
- 2026Conformal Prediction under Exponential-Tilt Joint Shift25 Sep 2026
- 2026Missingness-Aware Conformal Prediction Under Cross-Hospital Distribution Shift25 Sep 2026
- 2026Calibration Count Reuse: Validity Does Not Determine Efficiency21 Sep 2026
- 2026Conformal Privacy Auditing: Calibrated Re-identification Attacks with Statistical Guarantees18 Sep 2026
- 2026Can VLMs Reliably Assess Sidewalk Accessibility Attributes from Pedestrian-Level Imagery?15 Sep 2026
- 2026ENCP: Episode-Normalized Conformal Prediction for Vision-and-Language Navigation15 Sep 2026
- 2026Adaptive Conformal Redistribution for Inter-class Transitional Uncertainty in Medical Image Classification10 Sep 2026
- 2026Learning to Adapt and Calibrate: Score Distribution Alignment for Few-Shot Uncertainty Prediction in Medical VLMs9 Sep 2026
- 2026Conformity Breaks Conformal Prediction3 Sep 2026
- 2026ToxLens: A Reproducible Graph-Learning Framework for Leakage-Aware, Uncertainty-Calibrated Molecular Toxicity Prediction31 Aug 2026
- 2026From Uncertainty to Clinical Risk: Severity-Aware Conformal Planning for Interactive Medical Diagnosis28 Aug 2026
38 more
- 2026Conformal Risk Minimization for Semi-Supervised Domain Adaptation via Optimal Transport24 Aug 2026
- 2026Replicable Conformal Prediction23 Aug 2026
- 2026CAS: Conformalized Agentic Search via Adaptive Retrieval and Policy Weighting21 Aug 2026
- 2026Does Marginal Coverage Guarantee Class-Conditional Safety for Zero-Shot VLMs Under Shift?19 Aug 2026
- 2026Temporal Graph Prototype-conditioned Conformal Prediction for Fraud Detection16 Aug 2026
- 2026Conditional Validity for Adaptive Modality Acquisition: When the Policy Chooses Its Own Calibration Group16 Aug 2026
- 2026Conformal Fusion Under Missing Modalities7 Aug 2026
- 2026Evidential Rule Learning for Interpretable Classification with Abstention6 Aug 2026
- 2026Cost-Sensitive Conformal Prediction and Human-in-the-Loop Abstention for Imbalanced High-Stakes Decision Support: A Multi-Domain Benchmark29 Jul 2026
- 2026HeAD-CP: Heterophily-Aware Diffused Conformal Prediction Sets for Graph Neural Networks28 Jul 2026
- 2026Conformal Cascade: Distribution-Free Accuracy Guarantees for Multi-Tier LLM Inference27 Jul 2026
- 2026Hierarchical Group-Conditional Conformal Risk Control for Selective Prediction in Language Models27 Jul 2026
- 2026The Label Complexity of Useful Class-Conditional Prediction Sets under Distribution Shift20 Jul 2026
- 2026Certified Domain Consistency for Multi-Domain Retrieval: Label-Free Per-Domain Contamination Control with Conformal Risk Guarantees14 Jul 2026
- 2026TabPFN beyond Tabular Data: Calibration and Accuracy on Multimodal Embeddings13 Jul 2026
- 2026A Quiet Failure in Calibrated Virtual Screening: Marginal Conformal Prediction Under-Covers the Minority Class, and a Class-Conditional Fix Recovers It7 Jul 2026
- 2026Robust Bayes-Assisted Conformal Prediction5 Jul 2026
- 2026On Optimal Data Splitting for Split Conformal Prediction30 Jun 2026
- 2026Localized Conformal Prediction for Image Classification with Vision-Language Models30 Jun 2026
- 2026FALCON-Discover: Discovering Concentrated False-Confidence Regions for Calibration29 Jun 2026
- 2026Budgeted Act-or-Defer Multi-Agent LLM Deliberation with Local Reliability Bounds28 Jun 2026
- 2026Self-Organized Conformal Prediction: Reducing Regional Coverage Gaps with Unsupervised Group Discovery28 Jun 2026
- 2026Reliable Conformal Prediction for Ordinal Classification Using the Ranked Probability Score23 Jun 2026
- 2026Show, Don't Ask: Generative Visual Disambiguation for Composed Image Retrieval with Turn-Valid Coverage17 Jun 2026
- 2026Online Shift Detection and Conformal Adaptation for Deployed Safety Classifiers10 Jun 2026
- 2026Architecture-Adaptive Uncertainty Fusion for Deepfake Detection4 Jun 2026
- 2026Conformal Risk-Averse Decision Making with Action Conditional Guarantee4 Jun 2026
- 2026Does Compression Preserve Uncertainty? A Unified Benchmark for Quantized and Sparse LLMs via Conformal Prediction1 Jun 2026
- 2026Weighted Conformal Clustering29 May 2026
- 2026Benchmarking non-conformity score functions in conformal prediction24 May 2026
- 2026Cluster Frequency Conformal Prediction for Local Coverage24 May 2026
- 2026Resolving Ambiguity in Composed Image Retrieval via Calibrated Interaction23 May 2026
- 2026A Deployment Audit of Release-Side Risk in Conformal Triage under Prevalence Shift20 May 2026
- 2026Adaptive Conformal Prediction for Reliable and Explainable Medical Image Classification13 May 2026
- 2026Fair Conformal Classification via Learning Representation-Based Groups12 May 2026
- 2026Partial Model Sharing Improves Byzantine Resilience in Federated Conformal Prediction12 May 2026
- 2026GRAPHLCP: Structure-Aware Localized Conformal Prediction on Graphs8 May 2026
- 2026Probabilistic Object Detection with Conformal Prediction8 May 2026
50 newest of 390 All 390 (JSON)
- 2024Uncertainty-Aware Evaluation for Vision-Language Modelscited by 28
- 2025Conformal Prediction for Zero-Shot Modelscited by 14
- 2024Are foundation models for computer vision good conformal predictors?cited by 12
- 2025Full Conformal Adaptation of Medical Vision-Language Modelscited by 9
- 2025Trustworthy Few-Shot Transfer of Medical VLMs through Split Conformal Predictioncited by 8
- 2025The Art of Saying "Maybe": A Conformal Lens for Uncertainty Benchmarking in VLMscited by 2
- 2025ALARM: Automated MLLM-Based Anomaly Detection in Complex-EnviRonment Monitoring with Uncertainty Quantificationcited by 2
- 2026LATA: Laplacian-Assisted Transductive Adaptation for Conformal Uncertainty in Medical VLMscited by 2
- 2026Localized Conformal Prediction for Image Classification with Vision-Language Modelscited by 1
- 2026Does Marginal Coverage Guarantee Class-Conditional Safety for Zero-Shot VLMs Under Shift?cited by 0
- 2026Does Marginal Coverage Guarantee Class-Conditional Safety for Zero-Shot VLMs Under Shift?19 Aug 2026
- 2026Localized Conformal Prediction for Image Classification with Vision-Language Models30 Jun 2026
- 2026LATA: Laplacian-Assisted Transductive Adaptation for Conformal Uncertainty in Medical VLMs19 Feb 2026
- 2025ALARM: Automated MLLM-Based Anomaly Detection in Complex-EnviRonment Monitoring with Uncertainty Quantification1 Dec 2025
- 2025The Art of Saying "Maybe": A Conformal Lens for Uncertainty Benchmarking in VLMs16 Sep 2025
- 2025Trustworthy Few-Shot Transfer of Medical VLMs through Split Conformal Prediction20 Jun 2025
- 2025Full Conformal Adaptation of Medical Vision-Language Models6 Jun 2025
- 2025Conformal Prediction for Zero-Shot Models30 May 2025
- 2024Are foundation models for computer vision good conformal predictors?8 Dec 2024
- 2024Uncertainty-Aware Evaluation for Vision-Language Models22 Feb 2024
- 2026From Debate to Decision: Conformal Social Choice for Safe Multi-Agent Deliberationcited by 6
- 2025ATTS: Asynchronous Test-Time Scaling via Conformal Predictioncited by 3
- 2026Black-Box Reliability Certification for AI Agents via Self-Consistency Sampling and Conformal Calibrationcited by 2
- 2026Online Shift Detection and Conformal Adaptation for Deployed Safety Classifierscited by 1
- 2026Budgeted Act-or-Defer Multi-Agent LLM Deliberation with Local Reliability Boundscited by 1
- 2026Budgeted Act-or-Defer Multi-Agent LLM Deliberation with Local Reliability Bounds28 Jun 2026
- 2026Online Shift Detection and Conformal Adaptation for Deployed Safety Classifiers10 Jun 2026
- 2026From Debate to Decision: Conformal Social Choice for Safe Multi-Agent Deliberation9 Apr 2026
- 2026Black-Box Reliability Certification for AI Agents via Self-Consistency Sampling and Conformal Calibration24 Feb 2026
- 2025ATTS: Asynchronous Test-Time Scaling via Conformal Prediction18 Sep 2025
- 2024Provably Reliable Conformal Prediction Sets in the Presence of Data Poisoningcited by 4
- 2025Tackling Fake Forgetting through Uncertainty Quantificationcited by 3
- 2025Towards Unveiling Predictive Uncertainty Vulnerabilities in the Context of the Right to Be Forgottencited by 3
- 2024When in Doubt, Cascade: Towards Building Efficient and Capable Guardrailscited by 1
- 2025CertDW: Towards Certified Dataset Ownership Verification via Conformal Calibrationcited by 0
- 2025Towards Unveiling Predictive Uncertainty Vulnerabilities in the Context of the Right to Be Forgotten10 Aug 2025
- 2025CertDW: Towards Certified Dataset Ownership Verification via Conformal Calibration16 Jun 2025
- 2025Tackling Fake Forgetting through Uncertainty Quantification31 Jan 2025
- 2024Provably Reliable Conformal Prediction Sets in the Presence of Data Poisoning13 Oct 2024
- 2024When in Doubt, Cascade: Towards Building Efficient and Capable Guardrails8 Jul 2024
- 2026Conformal Agent Error Attributioncited by 3
- 2026CAS: Conformalized Agentic Search via Adaptive Retrieval and Policy Weightingcited by 0
- 2026CAS: Conformalized Agentic Search via Adaptive Retrieval and Policy Weighting21 Aug 2026
- 2026Conformal Agent Error Attribution7 May 2026
- 2021A Gentle Introduction to Conformal Prediction and Distribution-Free Uncertainty Quantificationcited by 777
- 2021Adaptive Conformal Inference Under Distribution Shiftcited by 360
- 2022Conformal Risk Controlcited by 290
- 2021Distribution-Free, Risk-Controlling Prediction Setscited by 278
- 2021Learn then Test: Calibrating Predictive Algorithms to Achieve Risk Controlcited by 256
- 2021Testing for Outliers with Conformal p-valuescited by 133
- 2024Benchmarking LLMs via Uncertainty Quantificationcited by 124
- 2023Class-Conditional Conformal Prediction with Many Classescited by 109
- 2021Learning Optimal Conformal Classifierscited by 108
- 2022Image-to-Image Regression with Distribution-Free Uncertainty Quantification and Applications in Imagingcited by 107
- 2021Distribution-free uncertainty quantification for classification under label shiftcited by 99
- 2023Uncertainty Quantification over Graph with Conformalized Graph Neural Networkscited by 79
12 most cited of 360 All 360 (JSON)
- 2026Scaling Full Conformal Image Classifiers29 Sep 2026
- 2026Conformal Prediction under Exponential-Tilt Joint Shift25 Sep 2026
- 2026Missingness-Aware Conformal Prediction Under Cross-Hospital Distribution Shift25 Sep 2026
- 2026Calibration Count Reuse: Validity Does Not Determine Efficiency21 Sep 2026
- 2026Conformal Privacy Auditing: Calibrated Re-identification Attacks with Statistical Guarantees18 Sep 2026
- 2026Can VLMs Reliably Assess Sidewalk Accessibility Attributes from Pedestrian-Level Imagery?15 Sep 2026
- 2026ENCP: Episode-Normalized Conformal Prediction for Vision-and-Language Navigation15 Sep 2026
- 2026Adaptive Conformal Redistribution for Inter-class Transitional Uncertainty in Medical Image Classification10 Sep 2026
- 2026Learning to Adapt and Calibrate: Score Distribution Alignment for Few-Shot Uncertainty Prediction in Medical VLMs9 Sep 2026
- 2026Conformity Breaks Conformal Prediction3 Sep 2026
- 2026ToxLens: A Reproducible Graph-Learning Framework for Leakage-Aware, Uncertainty-Calibrated Molecular Toxicity Prediction31 Aug 2026
- 2026From Uncertainty to Clinical Risk: Severity-Aware Conformal Planning for Interactive Medical Diagnosis28 Aug 2026
12 newest of 360 All 360 (JSON)