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Calibration is central to reliable semantic uncertainty quantification, yet prior work has largely focused on discrimination, neglecting calibration. As calibration and discrimination capture distinct aspects of uncertainty, focusing on…

Machine Learning · Computer Science 2026-04-09 Tom A. Lamb , Desi R. Ivanova , Philip H. S. Torr , Tim G. J. Rudner

Large language models (LLMs) can improve reasoning at inference time through test-time scaling (TTS), where multiple reasoning traces are generated and the best one is selected. Prior work shows that increasing the number of samples K…

Artificial Intelligence · Computer Science 2025-10-06 Yuheng Wu , Azalia Mirhoseini , Thierry Tambe

Despite the impressive generalization capabilities of deep neural networks, they have been repeatedly shown to be overconfident when they are wrong. Fixing this issue is known as model calibration, and has consequently received much…

Machine Learning · Computer Science 2024-02-15 Muthu Chidambaram , Rong Ge

Multi-sample aggregation strategies, such as majority voting and best-of-N sampling, are widely used in contemporary large language models (LLMs) to enhance predictive accuracy across various tasks. A key challenge in this process is…

Machine Learning · Computer Science 2025-06-17 Weihua Du , Yiming Yang , Sean Welleck

Class probabilities predicted by most multiclass classifiers are uncalibrated, often tending towards over-confidence. With neural networks, calibration can be improved by temperature scaling, a method to learn a single corrective…

Machine Learning · Computer Science 2019-10-29 Meelis Kull , Miquel Perello-Nieto , Markus Kängsepp , Telmo Silva Filho , Hao Song , Peter Flach

We address the problem of uncertainty calibration and introduce a novel calibration method, Parametrized Temperature Scaling (PTS). Standard deep neural networks typically yield uncalibrated predictions, which can be transformed into…

Machine Learning · Computer Science 2022-09-20 Christian Tomani , Daniel Cremers , Florian Buettner

Temperature scaling is a popular technique for tuning the sharpness of a model distribution. It is used extensively for sampling likely generations and calibrating model uncertainty, and even features as a controllable parameter to many…

Machine Learning · Computer Science 2023-10-03 Andy Shih , Dorsa Sadigh , Stefano Ermon

Conformal prediction is an emerging technique for uncertainty quantification that constructs prediction sets guaranteed to contain the true label with a predefined probability. Previous works often employ temperature scaling to calibrate…

Machine Learning · Computer Science 2024-12-24 Huajun Xi , Jianguo Huang , Kangdao Liu , Lei Feng , Hongxin Wei

Temperature scaling has been widely used as an effective approach to control the smoothness of a distribution, which helps the model performance in various tasks. Current practices to apply temperature scaling assume either a fixed, or a…

Computation and Language · Computer Science 2020-12-29 Pei-Hsin Wang , Sheng-Iou Hsieh , Shih-Chieh Chang , Yu-Ting Chen , Jia-Yu Pan , Wei Wei , Da-Chang Juan

Diversity is an essential metric for evaluating the creativity of outputs generated by language models. Temperature-based sampling is a common strategy to increase diversity. However, for tasks that require high precision, e.g.,…

Machine Learning · Computer Science 2025-10-03 Sergey Troshin , Wafaa Mohammed , Yan Meng , Christof Monz , Antske Fokkens , Vlad Niculae

We consider the issue of calibration in large language models (LLM). Recent studies have found that common interventions such as instruction tuning often result in poorly calibrated LLMs. Although calibration is well-explored in traditional…

Machine Learning · Computer Science 2024-06-28 Maohao Shen , Subhro Das , Kristjan Greenewald , Prasanna Sattigeri , Gregory Wornell , Soumya Ghosh

Although overparameterized models have shown their success on many machine learning tasks, the accuracy could drop on the testing distribution that is different from the training one. This accuracy drop still limits applying machine…

Machine Learning · Computer Science 2022-09-29 Yiping Lu , Wenlong Ji , Zachary Izzo , Lexing Ying

Increasing diversity in language models is a challenging yet essential objective. A common approach is to raise the decoding temperature. In this work, we investigate this approach through a simplistic yet common case to provide insights…

Computation and Language · Computer Science 2025-08-14 Alexandre Verine , Florian Le Bronnec , Kunhao Zheng , Alexandre Allauzen , Yann Chevaleyre , Benjamin Negrevergne

A wide body of evidence shows that human language processing difficulty is predicted by the information-theoretic measure surprisal, a word's negative log probability in context. However, it is still unclear how to best estimate these…

Computation and Language · Computer Science 2024-07-04 Tong Liu , Iza Škrjanec , Vera Demberg

Post-hoc recalibration methods are widely used to ensure that classifiers provide faithful probability estimates. We argue that parametric recalibration functions based on logistic regression can be motivated from a simple theoretical…

Machine Learning · Computer Science 2026-03-11 Eugène Berta , David Holzmüller , Michael I. Jordan , Francis Bach

Temperature is a widely used hyperparameter in various tasks involving neural networks, such as classification or metric learning, whose choice can have a direct impact on the model performance. Most of existing works select its value using…

Machine Learning · Computer Science 2022-10-19 Benjamin Chamand , Olivier Risser-Maroix , Camille Kurtz , Philippe Joly , Nicolas Loménie

Temperature sampling is a conventional approach to diversify large language model predictions. As temperature increases, the prediction becomes diverse but also vulnerable to hallucinations -- generating tokens that are sensible but not…

Computation and Language · Computer Science 2023-12-01 Chung-Ching Chang , David Reitter , Renat Aksitov , Yun-Hsuan Sung

The softmax function is a fundamental component in deep learning. This study delves into the often-overlooked parameter within the softmax function, known as "temperature," providing novel insights into the practical and theoretical aspects…

Machine Learning · Computer Science 2025-03-03 Hao Xuan , Bokai Yang , Xingyu Li

Model misspecification is a long-standing enigma of the Bayesian inference framework as posteriors tend to get overly concentrated on ill-informed parameter values towards the large sample limit. Tempering of the likelihood has been…

Methodology · Statistics 2019-12-13 Owen Thomas , Jukka Corander

It is now well known that neural networks can be wrong with high confidence in their predictions, leading to poor calibration. The most common post-hoc approach to compensate for this is to perform temperature scaling, which adjusts the…

Computer Vision and Pattern Recognition · Computer Science 2022-07-25 Tom Joy , Francesco Pinto , Ser-Nam Lim , Philip H. S. Torr , Puneet K. Dokania
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