Local Temperature Scaling for Probability Calibration
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Abstract (arXiv)
For semantic segmentation, label probabilities are often uncalibrated as they are typically only the by-product of a segmentation task. Intersection over Union (IoU) and Dice score are often used as criteria for segmentation success, while metrics related to label probabilities are not often explored. However, probability calibration approaches have been studied, which match probability outputs with experimentally observed errors. These approaches mainly focus on classification tasks, but not on semantic segmentation. Thus, we propose a learning-based calibration method that focuses on multi-label semantic segmentation. Specifically, we adopt a convolutional neural network to predict local temperature values for probability calibration. One advantage of our approach is that it does not change prediction accuracy, hence allowing for calibration as a post-processing step. Experiments on the COCO, CamVid, and LPBA40 datasets demonstrate improved calibration performance for a range of different metrics. We also demonstrate the good performance of our method for multi-atlas brain segmentation from magnetic resonance images.
Key facts. Cited by 95 papers in the map (data through 7 Oct 2026). First posted on arXiv 12 Aug 2020.
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Citing papers per year: 2021: 7; 2022: 13; 2023: 20; 2024: 21; 2025: 17; 2026: 17.
95 papers.
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- 2022SimpleClick: Interactive Image Segmentation with Simple Vision Transformerscited by 109
- 2021The Devil is in the Margin: Margin-based Label Smoothing for Network Calibrationcited by 91
- 2023Calibration in Deep Learning: A Survey of the State-of-the-Artcited by 72
- 2021Classifier Calibration: A survey on how to assess and improve predicted class probabilitiescited by 71
- 2022A Stitch in Time Saves Nine: A Train-Time Regularizing Loss for Improved Neural Network Calibrationcited by 49
- 2022Sample-dependent Adaptive Temperature Scaling for Improved Calibrationcited by 48
- 2022PseudoClick: Interactive Image Segmentation with Click Imitationcited by 42
- 2021Don't Just Blame Over-parametrization for Over-confidence: Theoretical Analysis of Calibration in Binary Classificationcited by 39
- 2021Meta-Cal: Well-controlled Post-hoc Calibration by Rankingcited by 33
- 2023A comprehensive survey on deep active learning in medical image analysiscited by 32
- 2022On Calibrating Semantic Segmentation Models: Analyses and An Algorithmcited by 25
- 2022Adaptive Temperature Scaling for Robust Calibration of Deep Neural Networkscited by 24
38 more
- 2023DomainAdaptor: A Novel Approach to Test-time Adaptationcited by 20
- 2024Adaptive Preference Scaling for Reinforcement Learning with Human Feedbackcited by 20
- 2021Class-Distribution-Aware Calibration for Long-Tailed Visual Recognitioncited by 19
- 2023RankMixup: Ranking-Based Mixup Training for Network Calibrationcited by 19
- 2023Reliability in Semantic Segmentation: Are We on the Right Track?cited by 16
- 2023ACLS: Adaptive and Conditional Label Smoothing for Network Calibrationcited by 15
- 2022Class Adaptive Network Calibrationcited by 13
- 2024On Temperature Scaling and Conformal Prediction of Deep Classifierscited by 13
- 2024Know Where You're Uncertain When Planning with Multimodal Foundation Models: A Formal Frameworkcited by 13
- 2023Jaccard Metric Losses: Optimizing the Jaccard Index with Soft Labelscited by 12
- 2023Trust your neighbours: Penalty-based constraints for model calibrationcited by 12
- 2023Bridging Precision and Confidence: A Train-Time Loss for Calibrating Object Detectioncited by 12
- 2024Are foundation models for computer vision good conformal predictors?cited by 12
- 2024Calib3D: Calibrating Model Preferences for Reliable 3D Scene Understandingcited by 11
- 2023Brain-ID: Learning Contrast-agnostic Anatomical Representations for Brain Imagingcited by 10
- 2022Interpretable Uncertainty Quantification in AI for HEPcited by 8
- 2023Multi-Head Multi-Loss Model Calibrationcited by 8
- 2023VSR-Net: Vessel-like Structure Rehabilitation Network with Graph Clusteringcited by 8
- 2024Entropy Reweighted Conformal Classificationcited by 8
- 2021Automatic Diagnosis of COVID-19 from CT Images using CycleGAN and Transfer Learningcited by 7
- 2023On the Limitations of Temperature Scaling for Distributions with Overlapscited by 7
- 2024Neighbor-Aware Calibration of Segmentation Networks with Penalty-Based Constraintscited by 7
- 2024Doubly Calibrated Estimator for Recommendation on Data Missing Not At Randomcited by 7
- 2022A Survey of Computer Vision Technologies In Urban and Controlled-environment Agriculturecited by 6
- 2024Average Calibration Error: A Differentiable Loss for Improved Reliability in Image Segmentationcited by 6
- 2024Long-Tailed Out-of-Distribution Detection: Prioritizing Attention to Tailcited by 6
- 2024ReliOcc: Towards Reliable Semantic Occupancy Prediction via Uncertainty Learningcited by 6
- 2024A Review of Bayesian Uncertainty Quantification in Deep Probabilistic Image Segmentationcited by 6
- 2022Improved post-hoc probability calibration for out-of-domain MRI segmentationcited by 5
- 2022TAS-NIR: A VIS+NIR Dataset for Fine-grained Semantic Segmentation in Unstructured Outdoor Environmentscited by 5
- 2023Context-Aware Selective Label Smoothing for Calibrating Sequence Recognition Modelcited by 5
- 2023Dice Semimetric Losses: Optimizing the Dice Score with Soft Labelscited by 5
- 2025A Modality-agnostic Multi-task Foundation Model for Human Brain Imagingcited by 5
- 2025U4D: Uncertainty-Aware 4D World Modeling from LiDAR Sequencescited by 5
- 2025Unraveling Normal Anatomy via Fluid-Driven Anomaly Randomizationcited by 4
- 2025T-CIL: Temperature Scaling using Adversarial Perturbation for Calibration in Class-Incremental Learningcited by 4
- 2025Explainable AI-Based Interface System for Weather Forecasting Modelcited by 4
- 2022ScaleFace: Uncertainty-aware Deep Metric Learningcited by 3
50 most cited of 95 All 95 (JSON)
- 2026Signal-Routed Temperature Scaling: Low-Capacity Risk-Conditioned Calibration for Small Validation Budgets30 Sep 2026
- 2026Bridging the Confidence Gap: Temperature Scaling for Calibrating Test-Time Prompt Tuning15 Sep 2026
- 2026CARD: Calibration via Agreement in Reverse Diffusion for Out-of-Domain MRI Segmentation26 Aug 2026
- 2026The Impact of CutMix on Reliability and Robustness in Semantic Segmentation19 Aug 2026
- 2026Generative Semantic Segmentation via an Observable Semantic-Image Interface and Hierarchical Generator Evidence Alignment12 Aug 2026
- 2026ST-LoRA: Single Trajectory LoRA Ensemble for Uncertainty Aware Agricultural Segmentation2 Aug 2026
- 2026Still image and spatial-temporal tomato data enabling detection, segmentation, tracking, and video-instance segmentation using strong and weak labels16 Jul 2026
- 2026Rethinking Post-Hoc Calibration in Semantic Segmentation2 Jul 2026
- 2026Specificity- and Calibration-Aware Breast Ultrasound Segmentation via Entropy-Guided Boundary Supervision21 Jun 2026
- 2026Quantile Adaptive Temperature Scaling for Confidence Calibration19 Jun 2026
- 2026Adaptive Calibration for Fair and Performant Facial Recognition3 Jun 2026
- 2026Energy-Aware NECO for Single-Pass Pixel-wise Out-of-Distribution Detection in Semantic Segmentation28 May 2026
38 more
- 2026Enhancing Deep Neural Network Reliability with Refinement and Calibration22 May 2026
- 2026Divide et Calibra: Multiclass Local Calibration via Vector Quantization20 May 2026
- 2026Assessing and Mitigating Miscalibration in LLM-Based Social Science Measurement12 May 2026
- 2026From Calibration to Refinement: Seeking Certainty via Probabilistic Evidence Propagation for Noisy-Label Person Re-Identification26 Feb 2026
- 2026DA-Cal: Towards Cross-Domain Calibration in Semantic Segmentation24 Feb 2026
- 2025Improving Multi-Class Calibration through Normalization-Aware Isotonic Techniques9 Dec 2025
- 2025Towards Reliable Test-Time Adaptation: Style Invariance as a Correctness Likelihood8 Dec 2025
- 2025U4D: Uncertainty-Aware 4D World Modeling from LiDAR Sequences2 Dec 2025
- 2025Probability calibration for precipitation nowcasting1 Oct 2025
- 2025Evaluating Temperature Scaling Calibration Effectiveness for CNNs under Varying Noise Levels in Brain Tumour Detection29 Sep 2025
- 2025A Modality-agnostic Multi-task Foundation Model for Human Brain Imaging30 Aug 2025
- 2025To Trust or Not to Trust: On Calibration in ML-based Resource Allocation for Wireless Networks23 Jul 2025
- 2025Sample Margin-Aware Recalibration of Temperature Scaling30 Jun 2025
- 2025h-calibration: Rethinking Classifier Recalibration with Probabilistic Error-Bounded Objective22 Jun 2025
- 2025Probability Bounding: Post-Hoc Calibration via Box-Constrained Softmax12 Jun 2025
- 2025Rethinking Semi-supervised Segmentation Beyond Accuracy: Reliability and Robustness6 Jun 2025
- 2025Average Calibration Losses for Reliable Uncertainty in Medical Image Segmentation4 Jun 2025
- 2025Revisiting Reweighted Risk for Calibration: AURC, Focal, and Inverse Focal Loss29 May 2025
- 2025Towards Calibration Enhanced Network by Inverse Adversarial Attack8 Apr 2025
- 2025Explainable AI-Based Interface System for Weather Forecasting Model1 Apr 2025
- 2025T-CIL: Temperature Scaling using Adversarial Perturbation for Calibration in Class-Incremental Learning28 Mar 2025
- 2025Unraveling Normal Anatomy via Fluid-Driven Anomaly Randomization23 Jan 2025
- 2024Implementing Trust in Non-Small Cell Lung Cancer Diagnosis with a Conformalized Uncertainty-Aware AI Framework in Whole-Slide Images28 Dec 2024
- 2024Are foundation models for computer vision good conformal predictors?8 Dec 2024
- 2024A Review of Bayesian Uncertainty Quantification in Deep Probabilistic Image Segmentation25 Nov 2024
- 2024Know Where You're Uncertain When Planning with Multimodal Foundation Models: A Formal Framework3 Nov 2024
- 2024ReliOcc: Towards Reliable Semantic Occupancy Prediction via Uncertainty Learning26 Sep 2024
- 2024Improving Uncertainty-Error Correspondence in Deep Bayesian Medical Image Segmentation5 Sep 2024
- 2024May the Forgetting Be with You: Alternate Replay for Learning with Noisy Labels26 Aug 2024
- 2024A Little Confidence Goes a Long Way20 Aug 2024
- 2024Long-Tailed Out-of-Distribution Detection: Prioritizing Attention to Tail13 Aug 2024
- 2024Entropy Reweighted Conformal Classification24 Jul 2024
- 2024Tilt and Average : Geometric Adjustment of the Last Layer for Recalibration14 Jun 2024
- 2024Adaptive Preference Scaling for Reinforcement Learning with Human Feedback4 Jun 2024
- 2024Mask-TS Net: Mask Temperature Scaling Uncertainty Calibration for Polyp Segmentation9 May 2024
- 2024Calib3D: Calibrating Model Preferences for Reliable 3D Scene Understanding25 Mar 2024
- 2024Do not trust what you trust: Miscalibration in Semi-supervised Learning22 Mar 2024
- 2024Class and Region-Adaptive Constraints for Network Calibration19 Mar 2024
50 newest of 95 All 95 (JSON)
- 2022SimpleClick: Interactive Image Segmentation with Simple Vision Transformerscited by 109
- 2021The Devil is in the Margin: Margin-based Label Smoothing for Network Calibrationcited by 91
- 2023Calibration in Deep Learning: A Survey of the State-of-the-Artcited by 72
- 2021Classifier Calibration: A survey on how to assess and improve predicted class probabilitiescited by 71
- 2022A Stitch in Time Saves Nine: A Train-Time Regularizing Loss for Improved Neural Network Calibrationcited by 49
- 2022Sample-dependent Adaptive Temperature Scaling for Improved Calibrationcited by 48
- 2022PseudoClick: Interactive Image Segmentation with Click Imitationcited by 42
- 2021Don't Just Blame Over-parametrization for Over-confidence: Theoretical Analysis of Calibration in Binary Classificationcited by 39
- 2021Meta-Cal: Well-controlled Post-hoc Calibration by Rankingcited by 33
- 2023A comprehensive survey on deep active learning in medical image analysiscited by 32
- 2022On Calibrating Semantic Segmentation Models: Analyses and An Algorithmcited by 25
- 2022Adaptive Temperature Scaling for Robust Calibration of Deep Neural Networkscited by 24
12 most cited of 92 All 92 (JSON)
- 2026Signal-Routed Temperature Scaling: Low-Capacity Risk-Conditioned Calibration for Small Validation Budgets30 Sep 2026
- 2026Bridging the Confidence Gap: Temperature Scaling for Calibrating Test-Time Prompt Tuning15 Sep 2026
- 2026CARD: Calibration via Agreement in Reverse Diffusion for Out-of-Domain MRI Segmentation26 Aug 2026
- 2026The Impact of CutMix on Reliability and Robustness in Semantic Segmentation19 Aug 2026
- 2026Generative Semantic Segmentation via an Observable Semantic-Image Interface and Hierarchical Generator Evidence Alignment12 Aug 2026
- 2026ST-LoRA: Single Trajectory LoRA Ensemble for Uncertainty Aware Agricultural Segmentation2 Aug 2026
- 2026Still image and spatial-temporal tomato data enabling detection, segmentation, tracking, and video-instance segmentation using strong and weak labels16 Jul 2026
- 2026Rethinking Post-Hoc Calibration in Semantic Segmentation2 Jul 2026
- 2026Specificity- and Calibration-Aware Breast Ultrasound Segmentation via Entropy-Guided Boundary Supervision21 Jun 2026
- 2026Quantile Adaptive Temperature Scaling for Confidence Calibration19 Jun 2026
- 2026Adaptive Calibration for Fair and Performant Facial Recognition3 Jun 2026
- 2026Energy-Aware NECO for Single-Pass Pixel-wise Out-of-Distribution Detection in Semantic Segmentation28 May 2026
12 newest of 92 All 92 (JSON)