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In this work, we explore uncertainty estimation as a proxy for correctness in LLM-generated code. To this end, we adapt two state-of-the-art techniques from natural language generation -- one based on entropy and another on mutual…

Software Engineering · Computer Science 2025-07-02 Arindam Sharma , Cristina David

Can large language models (LLMs) express their uncertainty in situations where they lack sufficient parametric knowledge to generate reasonable responses? This work aims to systematically investigate LLMs' behaviors in such situations,…

Computation and Language · Computer Science 2024-02-19 Genglin Liu , Xingyao Wang , Lifan Yuan , Yangyi Chen , Hao Peng

When using large language models (LLMs) in high-stakes applications, we need to know when we can trust their predictions. Some works argue that prompting high-performance LLMs is sufficient to produce calibrated uncertainties, while others…

The generation of texts using Large Language Models (LLMs) is inherently uncertain, with sources of uncertainty being not only the generation of texts, but also the prompt used and the downstream interpretation. Within this work, we provide…

Machine Learning · Computer Science 2026-03-30 Steffen Herbold , Florian Lemmerich

Uncertainty quantification (UQ) is the process of systematically determining and characterizing the degree of confidence in computational model predictions. In the context of systems biology, especially with dynamic models, UQ is crucial…

Machine Learning · Statistics 2024-10-29 Alberto Portela , Julio R. Banga , Marcos Matabuena

Uncertainty quantification (UQ) is crucial in computational fluid dynamics to assess the reliability and robustness of simulations, given the uncertainties in input parameters. OpenLB is an open-source lattice Boltzmann method library…

Uncertainty quantification (UQ) helps to make trustworthy predictions based on collected observations and uncertain domain knowledge. With increased usage of deep learning in various applications, the need for efficient UQ methods that can…

Machine Learning · Computer Science 2021-11-09 Olga Graf , Pablo Flores , Pavlos Protopapas , Karim Pichara

As large language models (LLMs) are increasingly integrated into high-stakes decision-making, the ability to reliably quantify uncertainty has become a critical requirement for safety and trust. However, current uncertainty quantification…

Artificial Intelligence · Computer Science 2026-05-28 Seongjun Lee , Suwan Yoon , Changhee Lee

Large language models (LLMs) demonstrate remarkable capabilities but face challenges from hallucinations, which typically arise from insufficient knowledge or context. While instructing LLMs to acknowledge knowledge limitations by…

Computation and Language · Computer Science 2025-08-08 Jiaqi Li , Yixuan Tang , Yi Yang

In this paper, we study the problem of uncertainty estimation and calibration for LLMs. We begin by formulating the uncertainty estimation problem, a relevant yet underexplored area in existing literature. We then propose a supervised…

Machine Learning · Computer Science 2024-10-24 Linyu Liu , Yu Pan , Xiaocheng Li , Guanting Chen

Large language models (LLMs) have delivered significant breakthroughs across diverse domains but can still produce unreliable or misleading outputs, posing critical challenges for real-world applications. While many recent studies focus on…

Computation and Language · Computer Science 2025-09-08 Yang Nan , Pengfei He , Ravi Tandon , Han Xu

Ensuring large language model (LLM) reliability requires distinguishing objective unsolvability (inherent contradictions) from subjective capability limitations (tasks exceeding model competence). Current LLMs often conflate these…

Computation and Language · Computer Science 2026-02-03 Dengyun Peng , Qiguang Chen , Bofei Liu , Jiannan Guan , Libo Qin , Zheng Yan , Jinhao Liu , Jianshu Zhang , Wanxiang Che

Large language models (LLMs) often behave inconsistently across inputs, indicating uncertainty and motivating the need for its quantification in high-stakes settings. Prior work on calibration and uncertainty quantification often focuses on…

Machine Learning · Computer Science 2025-09-08 Maya Kruse , Majid Afshar , Saksham Khatwani , Anoop Mayampurath , Guanhua Chen , Yanjun Gao

Complex multi-step reasoning tasks, such as solving mathematical problems, remain challenging for large language models (LLMs). While outcome supervision is commonly used, process supervision via process reward models (PRMs) provides…

Computation and Language · Computer Science 2025-02-18 Zihuiwen Ye , Luckeciano Carvalho Melo , Younesse Kaddar , Phil Blunsom , Sam Staton , Yarin Gal

Uncertainty Quantification (UQ) is an essential step in computational model validation because assessment of the model accuracy requires a concrete, quantifiable measure of uncertainty in the model predictions. The concept of UQ in the…

Applications · Statistics 2023-03-24 Xu Wu , Ziyu Xie , Farah Alsafadi , Tomasz Kozlowski

Large language models are increasingly relied upon as sources of information, but their propensity for generating false or misleading statements with high confidence poses risks for users and society. In this paper, we confront the critical…

Reinforcement learning (RL) finetuning is crucial to aligning large language models (LLMs), but the process is notoriously unstable and exhibits high variance across model checkpoints. In practice, selecting the best checkpoint is…

Machine Learning · Computer Science 2025-11-14 Manh Nguyen , Dung Nguyen , Dai Do , Svetha Venkatesh , Hung Le

Understanding how large language models (LLMs) internally represent and process their predictions is central to detecting uncertainty and preventing hallucinations. While several studies have shown that models encode uncertainty in their…

Computation and Language · Computer Science 2025-07-10 Sunwoo Kim , Haneul Yoo , Alice Oh

As instruction-tuned large language models (LLMs) evolve, aligning pretrained foundation models presents increasing challenges. Existing alignment strategies, which typically leverage diverse and high-quality data sources, often overlook…

Computation and Language · Computer Science 2024-06-10 Yikun Wang , Rui Zheng , Liang Ding , Qi Zhang , Dahua Lin , Dacheng Tao

Although large language models (LLMs) are becoming increasingly capable of solving challenging real-world tasks, accurately quantifying their uncertainty remains a critical open problem--one that limits their applicability in high-stakes…