Calibration of Neural Networks
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Abstract (arXiv)
Neural networks solving real-world problems are often required not only to make accurate predictions but also to provide a confidence level in the forecast. The calibration of a model indicates how close the estimated confidence is to the true probability. This paper presents a survey of confidence calibration problems in the context of neural networks and provides an empirical comparison of calibration methods. We analyze problem statement, calibration definitions, and different approaches to evaluation: visualizations and scalar measures that estimate whether the model is well-calibrated. We review modern calibration techniques: based on post-processing or requiring changes in training. Empirical experiments cover various datasets and models, comparing calibration methods according to different criteria.
Key facts. Cited by 7 papers in the map (data through 14 Oct 2026). Builds on 9 of its 26 references that are in the map. First posted on arXiv 19 Mar 2023.
Builds on
9 of 26 references.
References · 9
- 2017On Calibration of Modern Neural Networkscited by 4,960
- 2019The Curious Case of Neural Text Degenerationcited by 2,916
- 2016Google's Neural Machine Translation System: Bridging the Gap between Human and Machine Translationcited by 1,475
- 2019When Does Label Smoothing Help?cited by 988
- 2019Measuring Calibration in Deep Learningcited by 446
- 2019A Survey of Deep Learning Techniques for Autonomous Drivingcited by 403
- 2019Beyond temperature scaling: Obtaining well-calibrated multiclass probabilities with Dirichlet calibrationcited by 364
- 2020Calibrating Deep Neural Networks using Focal Losscited by 357
- 2017Medical Image Analysis using Convolutional Neural Networks: A Reviewcited by 99
Built on by
Citing papers per year: 2023: 2; 2024: 1; 2025: 2; 2026: 2.
7 papers.
- 2025Algorithms with Calibrated Machine Learning Predictionscited by 7
- 2023On the Out-of-Distribution Coverage of Combining Split Conformal Prediction and Bayesian Deep Learningcited by 0
- 2023Survival Analysis with Adversarial Regularizationcited by 0
- 2024Forecasting VIX using Bayesian Deep Learningcited by 0
- 2025On the calibration of Just-in-time Defect Predictioncited by 0
- 2026Deep Linear Discriminant Analysis Revisitedcited by 0
- 2026Enhancing Confidence Estimation in Telco LLMs via Twin-Pass CoT-Ensemblingcited by 0
- 2026Enhancing Confidence Estimation in Telco LLMs via Twin-Pass CoT-Ensembling14 Apr 2026
- 2026Deep Linear Discriminant Analysis Revisited4 Jan 2026
- 2025On the calibration of Just-in-time Defect Prediction16 Apr 2025
- 2025Algorithms with Calibrated Machine Learning Predictions5 Feb 2025
- 2024Forecasting VIX using Bayesian Deep Learning30 Jan 2024
- 2023Survival Analysis with Adversarial Regularization26 Dec 2023
- 2023On the Out-of-Distribution Coverage of Combining Split Conformal Prediction and Bayesian Deep Learning21 Nov 2023