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Despite widespread success in language understanding and generation, large language models (LLMs) exhibit unclear and often inconsistent behavior when faced with tasks that require probabilistic reasoning. In this work, we present the first…

Computation and Language · Computer Science 2025-09-29 Mobina Pournemat , Keivan Rezaei , Gaurang Sriramanan , Arman Zarei , Jiaxiang Fu , Yang Wang , Hamid Eghbalzadeh , Soheil Feizi

As large language models (LLMs) are increasingly used for factual question-answering, it becomes more important for LLMs to have the capability to communicate the likelihood that their answer is correct. For these verbalized expressions of…

Computation and Language · Computer Science 2025-12-15 Sophia Hager , David Mueller , Kevin Duh , Nicholas Andrews

Advances in the general capabilities of large language models (LLMs) have led to their use for information retrieval, and as components in automated decision systems. A faithful representation of probabilistic reasoning in these models may…

Artificial Intelligence · Computer Science 2025-04-21 Gabriel Freedman , Francesca Toni

The rise of large language models (LLMs) and their tight integration into our daily life make it essential to dedicate efforts towards their trustworthiness. Uncertainty quantification for LLMs can establish more human trust into their…

Computation and Language · Computer Science 2026-05-06 Daniel Yang , Yao-Hung Hubert Tsai , Makoto Yamada

Large language models (LLMs) have been found to produce hallucinations when the question exceeds their internal knowledge boundaries. A reliable model should have a clear perception of its knowledge boundaries, providing correct answers…

Computation and Language · Computer Science 2024-08-20 Shiyu Ni , Keping Bi , Lulu Yu , Jiafeng Guo

A safe and trustworthy use of Large Language Models (LLMs) requires an accurate expression of confidence in their answers. We propose a novel Reinforcement Learning approach that allows to directly fine-tune LLMs to express calibrated…

Computation and Language · Computer Science 2026-03-03 David Bani-Harouni , Chantal Pellegrini , Paul Stangel , Ege Özsoy , Kamilia Zaripova , Nassir Navab , Matthias Keicher

Calibrating verbalized probabilities presents a novel approach for reliably assessing and leveraging outputs from black-box Large Language Models (LLMs). Recent methods have demonstrated improved calibration by applying techniques like…

Computation and Language · Computer Science 2024-10-10 Cheng Wang , Gyuri Szarvas , Georges Balazs , Pavel Danchenko , Patrick Ernst

Large Language Models (LLMs) are increasingly deployed for clinical reasoning tasks, which inherently require eliciting calibrated probabilistic beliefs based on available evidence. However, real-world clinical data are frequently…

Artificial Intelligence · Computer Science 2026-03-19 Yuta Kobayashi , Vincent Jeanselme , Shalmali Joshi

Large Language Models (LLMs) are increasingly used as powerful tools for several high-stakes natural language processing (NLP) applications. Recent prompting works claim to elicit intermediate reasoning steps and key tokens that serve as…

Computation and Language · Computer Science 2023-11-08 Sree Harsha Tanneru , Chirag Agarwal , Himabindu Lakkaraju

Language models (LM) are capable of remarkably complex linguistic tasks; however, numerical reasoning is an area in which they frequently struggle. An important but rarely evaluated form of reasoning is understanding probability…

Computation and Language · Computer Science 2024-10-01 Akshay Paruchuri , Jake Garrison , Shun Liao , John Hernandez , Jacob Sunshine , Tim Althoff , Xin Liu , Daniel McDuff

Large reasoning models (LRMs) have recently demonstrated impressive capabilities in complex reasoning tasks by leveraging increased test-time computation and exhibiting behaviors reminiscent of human-like self-reflection. While LRMs show a…

Computation and Language · Computer Science 2025-10-21 Qingcheng Zeng , Weihao Xuan , Leyang Cui , Rob Voigt

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

Large Language Models (LLMs) have exhibited an impressive capability to perform reasoning tasks, especially if they are encouraged to generate a sequence of intermediate steps. Reasoning performance can be improved by suitably combining…

Computation and Language · Computer Science 2025-04-11 Soumyasundar Pal , Didier Chételat , Yingxue Zhang , Mark Coates

While large language models (LLMs) improve performance by explicit reasoning, their responses are often overconfident, even though they include linguistic expressions demonstrating uncertainty. In this work, we identify what linguistic…

Computation and Language · Computer Science 2026-04-08 Shintaro Ozaki , Wataru Hashimoto , Hidetaka Kamigaito , Katsuhiko Hayashi , Taro Watanabe

Machine learning practitioners often face significant challenges in formally integrating their prior knowledge and beliefs into predictive models, limiting the potential for nuanced and context-aware analyses. Moreover, the expertise needed…

Machine Learning · Statistics 2024-12-23 James Requeima , John Bronskill , Dami Choi , Richard E. Turner , David Duvenaud

Empowering large language models to accurately express confidence in their answers is essential for trustworthy decision-making. Previous confidence elicitation methods, which primarily rely on white-box access to internal model information…

Computation and Language · Computer Science 2024-03-19 Miao Xiong , Zhiyuan Hu , Xinyang Lu , Yifei Li , Jie Fu , Junxian He , Bryan Hooi

Uncertainty quantification is essential for assessing the reliability and trustworthiness of modern AI systems. Among existing approaches, verbalized uncertainty, where models express their confidence through natural language, has emerged…

Computer Vision and Pattern Recognition · Computer Science 2025-05-27 Weihao Xuan , Qingcheng Zeng , Heli Qi , Junjue Wang , Naoto Yokoya

In many high-risk machine learning applications it is essential for a model to indicate when it is uncertain about a prediction. While large language models (LLMs) can reach and even surpass human-level accuracy on a variety of benchmarks,…

Computation and Language · Computer Science 2024-06-06 Evan Becker , Stefano Soatto

Multiple Choice Question (MCQ) tests are among the most used methods for evaluating large language models (LLMs). Besides checking the correctness of the selected answer, evaluations often consider the model's confidence through the…

Computation and Language · Computer Science 2026-05-05 Tairan Fu , Javier Conde , Gonzalo Martínez , María Grandury , Pedro Reviriego

This paper introduces distribution-based prediction, a novel approach to using Large Language Models (LLMs) as predictive tools by interpreting output token probabilities as distributions representing the models' learned representation of…

Artificial Intelligence · Computer Science 2024-11-07 Caleb Bradshaw , Caelen Miller , Sean Warnick
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