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The accurate representation of epistemic uncertainty is a challenging yet essential task in machine learning. A widely used representation corresponds to convex sets of probabilistic predictors, also known as credal sets. One popular way of…

Machine Learning · Computer Science 2025-07-30 Mira Jürgens , Thomas Mortier , Eyke Hüllermeier , Viktor Bengs , Willem Waegeman

Modern computational models in supervised machine learning are often highly parameterized universal approximators. As such, the value of the parameters is unimportant, and only the out of sample performance is considered. On the other hand…

Computation · Statistics 2021-11-04 Matthew Dixon , Tyler Ward

Large language models (LLMs) are increasingly deployed in decision-making tasks, where not only accuracy but also reliable confidence estimates are essential. Well-calibrated confidence enables downstream systems to decide when to trust a…

Machine Learning · Computer Science 2026-01-21 Duygu Nur Yaldiz , Evangelia Spiliopoulou , Zheng Qi , Siddharth Varia , Srikanth Doss , Nikolaos Pappas

Calibration is a critical property for establishing the trustworthiness of predictors that provide uncertainty estimates. Multicalibration is a strengthening of calibration which requires that predictors be calibrated on a potentially…

Machine Learning · Computer Science 2025-09-23 Nathan Derhake , Siddartha Devic , Dutch Hansen , Kuan Liu , Vatsal Sharan

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…

Computer Vision and Pattern Recognition · Computer Science 2021-07-28 Zhipeng Ding , Xu Han , Peirong Liu , Marc Niethammer

Reliable confidence is essential for trusting the outputs of LLMs, yet widely deployed post-trained LLMs (PoLLMs) typically compromise this trust with severe overconfidence. In contrast, we observe that their corresponding base LLMs often…

Computation and Language · Computer Science 2026-05-12 Hexiang Tan , Wanli Yang , Junwei Zhang , Xin Chen , Rui Tang , Du Su , Jingang Wang , Yuanzhuo Wang , Fei Sun , Xueqi Cheng

Fire is characterized by its sudden onset and destructive power, making early fire detection crucial for ensuring human safety and protecting property. With the advancement of deep learning, the application of computer vision in fire…

Computer Vision and Pattern Recognition · Computer Science 2025-02-17 Ziqi Zhang , Xiuzhuang Zhou , Xiangyang Gong

In order to identify expertise, forecasters should not be tested by their calibration score, which can always be made arbitrarily small, but rather by their Brier score. The Brier score is the sum of the calibration score and the refinement…

Theoretical Economics · Economics 2026-03-20 Dean P. Foster , Sergiu Hart

Safety-critical prediction systems, such as autonomous vehicles, weather forecasters, and medical monitors, commonly rely on probabilistic forecasters. These forecasters make predictions about possible future outcomes, and their quality and…

Methodology · Statistics 2026-04-30 Romeo Valentin

Applications such as weather forecasting and personalized medicine demand models that output calibrated probability estimates---those representative of the true likelihood of a prediction. Most models are not calibrated out of the box but…

Machine Learning · Computer Science 2020-02-03 Ananya Kumar , Percy Liang , Tengyu Ma

Large language models (LLMs) often produce answers with high certainty even when they are incorrect, making reliable confidence estimation essential for deployment in real-world scenarios. Verbalized confidence, where models explicitly…

Machine Learning · Computer Science 2026-05-13 Chen Li , Xiaoling Hu , Songzhu Zheng , Jiawei Zhou , Chao Chen

Language Models (LMs) have shown promising performance in natural language generation. However, as LMs often generate incorrect or hallucinated responses, it is crucial to correctly quantify their uncertainty in responding to given inputs.…

Computation and Language · Computer Science 2024-09-17 Xinmeng Huang , Shuo Li , Mengxin Yu , Matteo Sesia , Hamed Hassani , Insup Lee , Osbert Bastani , Edgar Dobriban

The prediction accuracy of machine learning methods is steadily increasing, but the calibration of their uncertainty predictions poses a significant challenge. Numerous works focus on obtaining well-calibrated predictive models, but less is…

Machine Learning · Statistics 2023-12-07 Donghwan Lee , Xinmeng Huang , Hamed Hassani , Edgar Dobriban

Machine learning is about forecasting. When the forecasts come with an evaluation metric the forecasts become useful. What are reasonable evaluation metrics? How do existing evaluation metrics relate? In this work, we provide a general…

Machine Learning · Computer Science 2025-07-08 Rabanus Derr , Robert C. Williamson

For classification models based on neural networks, the maximum predicted class probability is often used as a confidence score. This score rarely predicts well the probability of making a correct prediction and requires a post-processing…

Machine Learning · Computer Science 2024-11-07 Adrien LeCoz , Stéphane Herbin , Faouzi Adjed

Decision makers increasingly rely on algorithmic risk scores to determine access to binary treatments including bail, loans, and medical interventions. In these settings, we reconcile two fairness criteria that were previously shown to be…

Machine Learning · Computer Science 2021-06-09 Claire Lazar Reich , Suhas Vijaykumar

Large language models (LLMs) often make accurate next token predictions but their confidence in these predictions can be poorly calibrated: high-confidence predictions are frequently wrong, and low-confidence predictions may be correct.…

Machine Learning · Computer Science 2026-02-03 Nisarg Parikh , Ananya Sai , Pannaga Shivaswamy , Kunjal Panchal , Andrew Lan

Calibration has been proposed as a way to enhance the reliability and adoption of machine learning classifiers. We study a particular aspect of this proposal: how does calibrating a classification model affect the decisions made by…

Human-Computer Interaction · Computer Science 2025-08-27 Meir Nizri , Amos Azaria , Chirag Gupta , Noam Hazon

LLMs' overconfidence, particularly when hallucinating, poses a significant challenge for the deployment of the models in safety-critical settings and makes a reliable estimation of uncertainty necessary. Existing approaches for uncertainty…

Machine Learning · Computer Science 2026-05-26 Hamed Karimi , Vaishali Meyappan , Reza Samavi

Quantifying uncertainty of predictions has been identified as one way to develop more trustworthy artificial intelligence (AI) models beyond conventional reporting of performance metrics. When considering their role in a clinical decision…