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Large language models (LLMs) are stochastic, and not all models give deterministic answers, even when setting temperature to zero with a fixed random seed. However, few benchmark studies attempt to quantify uncertainty, partly due to the…

Computation and Language · Computer Science 2025-06-30 Robert E. Blackwell , Jon Barry , Anthony G. Cohn

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

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…

Knowing the uncertainty in a prediction is critical when making expensive investment decisions and when patient safety is paramount, but machine learning (ML) models in drug discovery typically provide only a single best estimate and ignore…

Machine Learning · Computer Science 2021-06-03 Stanley E. Lazic , Dominic P. Williams

Large Language Models (LLMs) are increasingly employed in real-world applications, driving the need to evaluate the trustworthiness of their generated text. To this end, reliable uncertainty estimation is essential. Leading uncertainty…

Machine Learning · Computer Science 2026-04-21 Lukas Aichberger , Kajetan Schweighofer , Sepp Hochreiter

Although large language models (LLMs) are highly interactive and extendable, current approaches to ensure reliability in deployments remain mostly limited to rejecting outputs with high uncertainty in order to avoid misinformation. This…

Machine Learning · Computer Science 2025-06-10 T. Duy Nguyen-Hien , Desi R. Ivanova , Yee Whye Teh , Wee Sun Lee

Large Language Models (LLMs) are known to produce very high-quality tests and responses to our queries. But how much can we trust this generated text? In this paper, we study the problem of uncertainty quantification in LLMs. We propose a…

Computation and Language · Computer Science 2025-04-28 Muhammad Mubashar , Shireen Kudukkil Manchingal , Fabio Cuzzolin

Prompt optimization algorithms for Large Language Models (LLMs) excel in multi-step reasoning but still lack effective uncertainty estimation. This paper introduces a benchmark dataset to evaluate uncertainty metrics, focusing on Answer,…

Machine Learning · Computer Science 2024-12-30 Pei-Fu Guo , Yun-Da Tsai , Shou-De Lin

The Large language models (LLMs) have showcased superior capabilities in sophisticated tasks across various domains, stemming from basic question-answer (QA), they are nowadays used as decision assistants or explainers for unfamiliar…

Computation and Language · Computer Science 2024-07-09 Longchao Da , Tiejin Chen , Lu Cheng , Hua Wei

Large Language Models (LLMs) are prone to generating fluent but incorrect content, known as confabulation, which poses increasing risks in multi-turn or agentic applications where outputs may be reused as context. In this work, we…

Computation and Language · Computer Science 2026-03-18 Tianyi Zhou , Johanne Medina , Sanjay Chawla

This study investigates uncertainty quantification in large language models (LLMs) for medical applications, emphasizing both technical innovations and philosophical implications. As LLMs become integral to clinical decision-making,…

Artificial Intelligence · Computer Science 2025-04-08 Zahra Atf , Seyed Amir Ahmad Safavi-Naini , Peter R. Lewis , Aref Mahjoubfar , Nariman Naderi , Thomas R. Savage , Ali Soroush

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

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

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

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

While past works have shown how uncertainty quantification can be applied to large language model (LLM) outputs, the question of whether resulting uncertainty guarantees still hold within sub-groupings of data remains open. In our work,…

Computation and Language · Computer Science 2025-06-13 Terrance Liu , Zhiwei Steven Wu

Despite the growing demand for eliciting uncertainty from large language models (LLMs), empirical evidence suggests that LLM behavior is not always adequately captured by the elicitation techniques developed under the classical…

Artificial Intelligence · Computer Science 2026-03-12 Anita Yang , Krikamol Muandet , Michele Caprio , Siu Lun Chau , Masaki Adachi

LLM-as-a-Judge is a widely used method for evaluating the performance of Large Language Models (LLMs) across various tasks. We address the challenge of quantifying the uncertainty of LLM-as-a-Judge evaluations. While uncertainty…

Large language models (LLMs) enable powerful zero-shot recommendations by leveraging broad contextual knowledge, yet predictive uncertainty and embedded biases threaten reliability and fairness. This paper studies how uncertainty and…

Artificial Intelligence · Computer Science 2026-02-04 Chandan Kumar Sah , Xiaoli Lian , Li Zhang , Tony Xu , Syed Shazaib Shah

An interesting behavior in large language models (LLMs) is prompt sensitivity. When provided with different but semantically equivalent versions of the same prompt, models may produce very different distributions of answers. This suggests…

Computation and Language · Computer Science 2025-10-21 Kyle Cox , Jiawei Xu , Yikun Han , Rong Xu , Tianhao Li , Chi-Yang Hsu , Tianlong Chen , Walter Gerych , Ying Ding