Training Uncertainty-Aware Classifiers with Conformalized Deep Learning
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Abstract (arXiv)
Deep neural networks are powerful tools to detect hidden patterns in data and leverage them to make predictions, but they are not designed to understand uncertainty and estimate reliable probabilities. In particular, they tend to be overconfident. We begin to address this problem in the context of multi-class classification by developing a novel training algorithm producing models with more dependable uncertainty estimates, without sacrificing predictive power. The idea is to mitigate overconfidence by minimizing a loss function, inspired by advances in conformal inference, that quantifies model uncertainty by carefully leveraging hold-out data. Experiments with synthetic and real data demonstrate this method can lead to smaller conformal prediction sets with higher conditional coverage, after exact calibration with hold-out data, compared to state-of-the-art alternatives.
Key facts. Cited by 62 papers in the map (data through 7 Oct 2026). Builds on 49 of its 99 references that are in the map. First posted on arXiv 12 May 2022.
Builds on
49 of 99 references.
References · 49
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- 2020Calibrating Deep Neural Networks using Focal Losscited by 353
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- 2019SelectiveNet: A Deep Neural Network with an Integrated Reject Optioncited by 333
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- 2020Fast Differentiable Sorting and Rankingcited by 196
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- 2019Differentiable Ranks and Sorting using Optimal Transportcited by 113
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- 2021Conformal Prediction using Conditional Histogramscited by 77
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Citing papers per year: 2022: 5; 2023: 11; 2024: 21; 2025: 17; 2026: 8.
62 papers.
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- 2024Language Models with Conformal Factuality Guaranteescited by 128
- 2023Conformal Prediction for Deep Classifier via Label Rankingcited by 52
- 2024Impact of Preference Noise on the Alignment Performance of Generative Language Modelscited by 41
- 2022Distribution Free Prediction Sets for Node Classificationcited by 28
- 2024Provably Robust Conformal Prediction with Improved Efficiencycited by 27
- 2024Conformal Prediction: A Data Perspectivecited by 25
- 2023Adaptive conformal classification with noisy labelscited by 24
- 2022Split Localized Conformal Predictioncited by 20
- 2024Uncertainty in Graph Neural Networks: A Surveycited by 20
- 2022Integrative conformal p-values for powerful out-of-distribution testing with labeled outlierscited by 19
- 2022Few-Shot Calibration of Set Predictors via Meta-Learned Cross-Validation-Based Conformal Predictioncited by 17
- 2023Equal Opportunity of Coverage in Fair Regressioncited by 16
38 more
- 2023Conformal inference is (almost) free for neural networks trained with early stoppingcited by 14
- 2023A Data-Driven Measure of Relative Uncertainty for Misclassification Detectioncited by 14
- 2024End-to-End Conformal Calibration for Optimization Under Uncertaintycited by 14
- 2025Wasserstein-regularized Conformal Prediction under General Distribution Shiftcited by 14
- 2025Conformal Prediction for Zero-Shot Modelscited by 14
- 2023Lightweight, Uncertainty-Aware Conformalized Visual Odometrycited by 13
- 2024Does confidence calibration improve conformal prediction?cited by 12
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- 2025Conformal Inference under High-Dimensional Covariate Shifts via Likelihood-Ratio Regularizationcited by 11
- 2025Conformal Risk Training: End-to-End Optimization of Conformal Risk Controlcited by 11
- 2024Conformal Risk Minimization with Variance Reductioncited by 10
- 2024TorchCP: A Python Library for Conformal Predictioncited by 9
- 2025Synthetic-Powered Predictive Inferencecited by 9
- 2025Full Conformal Adaptation of Medical Vision-Language Modelscited by 9
- 2023Knowing When to Stop: Delay-Adaptive Spiking Neural Network Classifiers with Reliability Guaranteescited by 8
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- 2024The Pitfalls and Promise of Conformal Inference Under Adversarial Attackscited by 8
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- 2025Direct Prediction Set Minimization via Bilevel Conformal Classifier Trainingcited by 8
- 2024C-Adapter: Adapting Deep Classifiers for Efficient Conformal Prediction Setscited by 7
- 2025Conformal Information Pursuit for Interactively Guiding Large Language Modelscited by 7
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- 2024Adjusting Regression Models for Conditional Uncertainty Calibrationcited by 0
- 2024Conformal-in-the-Loop for Learning with Imbalanced Noisy Datacited by 0
50 most cited of 62 All 62 (JSON)
- 2026Scaling Full Conformal Image Classifiers29 Sep 2026
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- 2026Conformal Fusion Under Missing Modalities7 Aug 2026
- 2026Conformal Margin Risk Minimization: An Envelope Framework for Robust Learning under Label Noise7 Apr 2026
- 2026Elements of Conformal Prediction25 Mar 2026
- 2026ConformalHDC: Uncertainty-Aware Hyperdimensional Computing with Application to Neural Decoding24 Feb 2026
- 2026Softmax is not Enough (for Adaptive Conformal Classification)23 Feb 2026
- 2026Class Adaptive Conformal Training14 Jan 2026
- 2025Conformal Correction for Efficiency May be at Odds with Entropy2 Dec 2025
- 2025Advancing Image Classification with Discrete Diffusion Classification Modeling25 Nov 2025
- 2025Cost-Sensitive Conformal Training with Provably Controllable Learning Bounds22 Nov 2025
- 2025Conformal Risk Training: End-to-End Optimization of Conformal Risk Control9 Oct 2025
38 more
- 2025Conformal Prediction for Signal Temporal Logic Inference29 Sep 2025
- 2025Conformal Information Pursuit for Interactively Guiding Large Language Models4 Jul 2025
- 2025Uncertainty Estimation by Human Perception versus Neural Models18 Jun 2025
- 2025Direct Prediction Set Minimization via Bilevel Conformal Classifier Training7 Jun 2025
- 2025Full Conformal Adaptation of Medical Vision-Language Models6 Jun 2025
- 2025Conformal Prediction for Zero-Shot Models30 May 2025
- 2025CLUE: Neural Networks Calibration via Learning Uncertainty-Error alignment28 May 2025
- 2025Test-time augmentation improves efficiency in conformal prediction28 May 2025
- 2025Synthetic-Powered Predictive Inference19 May 2025
- 2025A Conformal Predictive Measure for Assessing Catastrophic Forgetting15 May 2025
- 2025Identifying Trustworthiness Challenges in Deep Learning Models for Continental-Scale Water Quality Prediction13 Mar 2025
- 2025Conformal Inference under High-Dimensional Covariate Shifts via Likelihood-Ratio Regularization18 Feb 2025
- 2025Wasserstein-regularized Conformal Prediction under General Distribution Shift23 Jan 2025
- 2024Are foundation models for computer vision good conformal predictors?8 Dec 2024
- 2024Conformal-in-the-Loop for Learning with Imbalanced Noisy Data4 Nov 2024
- 2024Conformal Risk Minimization with Variance Reduction3 Nov 2024
- 2024C-Adapter: Adapting Deep Classifiers for Efficient Conformal Prediction Sets12 Oct 2024
- 2024Conformal Prediction: A Data Perspective9 Oct 2024
- 2024End-to-End Conformal Calibration for Optimization Under Uncertainty30 Sep 2024
- 2024Adjusting Regression Models for Conditional Uncertainty Calibration26 Sep 2024
- 2024A conformalized learning of a prediction set with applications to medical imaging classification9 Aug 2024
- 2024Entropy Reweighted Conformal Classification24 Jul 2024
- 2024Normalizing Flows for Conformal Regression5 Jun 2024
- 2024The Pitfalls and Promise of Conformal Inference Under Adversarial Attacks14 May 2024
- 2024Error-Driven Uncertainty Aware Training2 May 2024
- 2024Provably Robust Conformal Prediction with Improved Efficiency30 Apr 2024
- 2024Impact of Preference Noise on the Alignment Performance of Generative Language Models15 Apr 2024
- 2024Probabilistic Calibration by Design for Neural Network Regression18 Mar 2024
- 2024Uncertainty in Graph Neural Networks: A Survey11 Mar 2024
- 2024TorchCP: A Python Library for Conformal Prediction20 Feb 2024
- 2024Language Models with Conformal Factuality Guarantees15 Feb 2024
- 2024Does confidence calibration improve conformal prediction?6 Feb 2024
- 2024Cross-Validation Conformal Risk Control22 Jan 2024
- 2024Two-Stage Surrogate Modeling for Data-Driven Design Optimization with Application to Composite Microstructure Generation4 Jan 2024
- 2023SymmPI: Predictive Inference for Data with Group Symmetries26 Dec 2023
- 2023PAC-Bayes Generalization Certificates for Learned Inductive Conformal Prediction7 Dec 2023
- 2023Equal Opportunity of Coverage in Fair Regression3 Nov 2023
- 2023Conformal Prediction for Deep Classifier via Label Ranking10 Oct 2023
50 newest of 62 All 62 (JSON)
- 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
- 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
- 2024Language Models with Conformal Factuality Guaranteescited by 128
- 2023Conformal Prediction for Deep Classifier via Label Rankingcited by 52
- 2022Distribution Free Prediction Sets for Node Classificationcited by 28
- 2024Provably Robust Conformal Prediction with Improved Efficiencycited by 27
- 2024Conformal Prediction: A Data Perspectivecited by 25
- 2023Adaptive conformal classification with noisy labelscited by 24
- 2022Split Localized Conformal Predictioncited by 20
- 2024Uncertainty in Graph Neural Networks: A Surveycited by 20
- 2022Integrative conformal p-values for powerful out-of-distribution testing with labeled outlierscited by 19
- 2022Few-Shot Calibration of Set Predictors via Meta-Learned Cross-Validation-Based Conformal Predictioncited by 17
- 2023Equal Opportunity of Coverage in Fair Regressioncited by 16
- 2023Conformal inference is (almost) free for neural networks trained with early stoppingcited by 14
12 most cited of 57 All 57 (JSON)
- 2026Scaling Full Conformal Image Classifiers29 Sep 2026
- 2026Conformal Risk Minimization for Semi-Supervised Domain Adaptation via Optimal Transport24 Aug 2026
- 2026Conformal Fusion Under Missing Modalities7 Aug 2026
- 2026Conformal Margin Risk Minimization: An Envelope Framework for Robust Learning under Label Noise7 Apr 2026
- 2026Elements of Conformal Prediction25 Mar 2026
- 2026ConformalHDC: Uncertainty-Aware Hyperdimensional Computing with Application to Neural Decoding24 Feb 2026
- 2026Softmax is not Enough (for Adaptive Conformal Classification)23 Feb 2026
- 2026Class Adaptive Conformal Training14 Jan 2026
- 2025Conformal Correction for Efficiency May be at Odds with Entropy2 Dec 2025
- 2025Cost-Sensitive Conformal Training with Provably Controllable Learning Bounds22 Nov 2025
- 2025Conformal Risk Training: End-to-End Optimization of Conformal Risk Control9 Oct 2025
- 2025Conformal Prediction for Signal Temporal Logic Inference29 Sep 2025
12 newest of 57 All 57 (JSON)