Confidence Estimation via Auxiliary Models
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Abstract (arXiv)
Reliably quantifying the confidence of deep neural classifiers is a challenging yet fundamental requirement for deploying such models in safety-critical applications. In this paper, we introduce a novel target criterion for model confidence, namely the true class probability (TCP). We show that TCP offers better properties for confidence estimation than standard maximum class probability (MCP). Since the true class is by essence unknown at test time, we propose to learn TCP criterion from data with an auxiliary model, introducing a specific learning scheme adapted to this context. We evaluate our approach on the task of failure prediction and of self-training with pseudo-labels for domain adaptation, which both necessitate effective confidence estimates. Extensive experiments are conducted for validating the relevance of the proposed approach in each task. We study various network architectures and experiment with small and large datasets for image classification and semantic segmentation. In every tested benchmark, our approach outperforms strong baselines.
Key facts. Cited by 33 papers in the map (data through 7 Oct 2026). First posted on arXiv 11 Dec 2020.
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Citing papers per year: 2021: 5; 2022: 1; 2023: 10; 2024: 7; 2025: 5; 2026: 5.
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- 2021Machine Learning with a Reject Option: A surveycited by 107
- 2022SePiCo: Semantic-Guided Pixel Contrast for Domain Adaptive Semantic Segmentationcited by 87
- 2021Explainability of deep vision-based autonomous driving systems: Review and challengescited by 80
- 2023Rethinking Confidence Calibration for Failure Predictioncited by 43
- 2023OpenMix: Exploring Outlier Samples for Misclassification Detectioncited by 38
- 2023Semantic Image Segmentation: Two Decades of Researchcited by 26
- 2021Spatio-Contextual Deep Network Based Multimodal Pedestrian Detection For Autonomous Drivingcited by 25
- 2023SALUDA: Surface-based Automotive Lidar Unsupervised Domain Adaptationcited by 21
- 2021A Unified Benchmark for the Unknown Detection Capability of Deep Neural Networkscited by 19
- 2023How to Fix a Broken Confidence Estimator: Evaluating Post-hoc Methods for Selective Classification with Deep Neural Networkscited by 15
- 2024Revisiting Confidence Estimation: Towards Reliable Failure Predictioncited by 9
- 2025Probabilistic Embeddings for Frozen Vision-Language Models: Uncertainty Quantification with Gaussian Process Latent Variable Modelscited by 9
21 more
- 2024SURE: SUrvey REcipes for building reliable and robust deep networkscited by 8
- 2023Effective Pseudo-Labeling based on Heatmap for Unsupervised Domain Adaptation in Cell Detectioncited by 7
- 2023Uncertainty Estimation for Safety-critical Scene Segmentation via Fine-grained Reward Maximizationcited by 7
- 2024Train Till You Drop: Towards Stable and Robust Source-free Unsupervised 3D Domain Adaptationcited by 6
- 2024ProtoGMM: Multi-prototype Gaussian-Mixture-based Domain Adaptation Model for Semantic Segmentationcited by 5
- 2024Optimizing Calibration by Gaining Aware of Prediction Correctnesscited by 4
- 2023Interpretable Out-Of-Distribution Detection Using Pattern Identificationcited by 2
- 2023Perception and Semantic Aware Regularization for Sequential Confidence Calibrationcited by 1
- 2023Bridging AI and Clinical Practice: Integrating Automated Sleep Scoring Algorithm with Uncertainty-Guided Physician Reviewcited by 1
- 2024Uncertainty Measurement of Deep Learning System based on the Convex Hull of Training Setscited by 1
- 2024Explaining an image classifier with a generative model conditioned by uncertaintycited by 1
- 2025Localization Meets Uncertainty: Uncertainty-Aware Multi-Modal Localizationcited by 1
- 2025On the Reliability and Stability of Selective Methods in Malware Classification Taskscited by 1
- 2021Knowledge-driven Active Learningcited by 0
- 2025MoMBS: Mixed-order minibatch sampling enhances model training from diverse-quality imagescited by 0
- 2025A Systematic Analysis of Out-of-Distribution Detection Under Representation and Training Paradigm Shiftscited by 0
- 2026Integrating Knowledge Distillation Methods: A Sequential Multi-Stage Frameworkcited by 0
- 2026Trustworthy Endoscopic Super-Resolutioncited by 0
- 2026Post-hoc Selective Classification for Reliable Synthetic Image Detectioncited by 0
- 2026Uncertainty Quantification for EO Regression Tasks: Building Height, Tree Canopy Height and Above-ground Biomass Estimationcited by 0
- 2026TCPα: Margin-Controlled Confidence estimation for reliable Music Information Retrievalcited by 0
- 2026TCPα: Margin-Controlled Confidence estimation for reliable Music Information Retrieval20 Aug 2026
- 2026Uncertainty Quantification for EO Regression Tasks: Building Height, Tree Canopy Height and Above-ground Biomass Estimation13 Jul 2026
- 2026Post-hoc Selective Classification for Reliable Synthetic Image Detection9 May 2026
- 2026Trustworthy Endoscopic Super-Resolution20 Apr 2026
- 2026Integrating Knowledge Distillation Methods: A Sequential Multi-Stage Framework22 Jan 2026
- 2025A Systematic Analysis of Out-of-Distribution Detection Under Representation and Training Paradigm Shifts14 Nov 2025
- 2025On the Reliability and Stability of Selective Methods in Malware Classification Tasks28 May 2025
- 2025MoMBS: Mixed-order minibatch sampling enhances model training from diverse-quality images24 May 2025
- 2025Probabilistic Embeddings for Frozen Vision-Language Models: Uncertainty Quantification with Gaussian Process Latent Variable Models8 May 2025
- 2025Localization Meets Uncertainty: Uncertainty-Aware Multi-Modal Localization10 Apr 2025
- 2024Explaining an image classifier with a generative model conditioned by uncertainty2 Oct 2024
- 2024Train Till You Drop: Towards Stable and Robust Source-free Unsupervised 3D Domain Adaptation6 Sep 2024
21 more
- 2024ProtoGMM: Multi-prototype Gaussian-Mixture-based Domain Adaptation Model for Semantic Segmentation27 Jun 2024
- 2024Uncertainty Measurement of Deep Learning System based on the Convex Hull of Training Sets25 May 2024
- 2024Optimizing Calibration by Gaining Aware of Prediction Correctness19 Apr 2024
- 2024Revisiting Confidence Estimation: Towards Reliable Failure Prediction5 Mar 2024
- 2024SURE: SUrvey REcipes for building reliable and robust deep networks1 Mar 2024
- 2023Bridging AI and Clinical Practice: Integrating Automated Sleep Scoring Algorithm with Uncertainty-Guided Physician Review22 Dec 2023
- 2023Uncertainty Estimation for Safety-critical Scene Segmentation via Fine-grained Reward Maximization5 Nov 2023
- 2023Perception and Semantic Aware Regularization for Sequential Confidence Calibration31 May 2023
- 2023How to Fix a Broken Confidence Estimator: Evaluating Post-hoc Methods for Selective Classification with Deep Neural Networks24 May 2023
- 2023SALUDA: Surface-based Automotive Lidar Unsupervised Domain Adaptation6 Apr 2023
- 2023OpenMix: Exploring Outlier Samples for Misclassification Detection30 Mar 2023
- 2023Effective Pseudo-Labeling based on Heatmap for Unsupervised Domain Adaptation in Cell Detection9 Mar 2023
- 2023Rethinking Confidence Calibration for Failure Prediction6 Mar 2023
- 2023Semantic Image Segmentation: Two Decades of Research13 Feb 2023
- 2023Interpretable Out-Of-Distribution Detection Using Pattern Identification24 Jan 2023
- 2022SePiCo: Semantic-Guided Pixel Contrast for Domain Adaptive Semantic Segmentation19 Apr 2022
- 2021A Unified Benchmark for the Unknown Detection Capability of Deep Neural Networks1 Dec 2021
- 2021Knowledge-driven Active Learning15 Oct 2021
- 2021Machine Learning with a Reject Option: A survey23 Jul 2021
- 2021Spatio-Contextual Deep Network Based Multimodal Pedestrian Detection For Autonomous Driving26 May 2021
- 2021Explainability of deep vision-based autonomous driving systems: Review and challenges13 Jan 2021
- 2021Machine Learning with a Reject Option: A surveycited by 107
- 2022SePiCo: Semantic-Guided Pixel Contrast for Domain Adaptive Semantic Segmentationcited by 87
- 2021Explainability of deep vision-based autonomous driving systems: Review and challengescited by 80
- 2023Rethinking Confidence Calibration for Failure Predictioncited by 43
- 2023OpenMix: Exploring Outlier Samples for Misclassification Detectioncited by 38
- 2023Semantic Image Segmentation: Two Decades of Researchcited by 26
- 2021Spatio-Contextual Deep Network Based Multimodal Pedestrian Detection For Autonomous Drivingcited by 25
- 2023SALUDA: Surface-based Automotive Lidar Unsupervised Domain Adaptationcited by 21
- 2021A Unified Benchmark for the Unknown Detection Capability of Deep Neural Networkscited by 19
- 2023How to Fix a Broken Confidence Estimator: Evaluating Post-hoc Methods for Selective Classification with Deep Neural Networkscited by 15
- 2024Revisiting Confidence Estimation: Towards Reliable Failure Predictioncited by 9
- 2024SURE: SUrvey REcipes for building reliable and robust deep networkscited by 8
12 most cited of 32 All 32 (JSON)
- 2026TCPα: Margin-Controlled Confidence estimation for reliable Music Information Retrieval20 Aug 2026
- 2026Uncertainty Quantification for EO Regression Tasks: Building Height, Tree Canopy Height and Above-ground Biomass Estimation13 Jul 2026
- 2026Post-hoc Selective Classification for Reliable Synthetic Image Detection9 May 2026
- 2026Trustworthy Endoscopic Super-Resolution20 Apr 2026
- 2026Integrating Knowledge Distillation Methods: A Sequential Multi-Stage Framework22 Jan 2026
- 2025A Systematic Analysis of Out-of-Distribution Detection Under Representation and Training Paradigm Shifts14 Nov 2025
- 2025On the Reliability and Stability of Selective Methods in Malware Classification Tasks28 May 2025
- 2025MoMBS: Mixed-order minibatch sampling enhances model training from diverse-quality images24 May 2025
- 2025Localization Meets Uncertainty: Uncertainty-Aware Multi-Modal Localization10 Apr 2025
- 2024Explaining an image classifier with a generative model conditioned by uncertainty2 Oct 2024
- 2024Train Till You Drop: Towards Stable and Robust Source-free Unsupervised 3D Domain Adaptation6 Sep 2024
- 2024ProtoGMM: Multi-prototype Gaussian-Mixture-based Domain Adaptation Model for Semantic Segmentation27 Jun 2024
12 newest of 32 All 32 (JSON)