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We posit that large language models (LLMs) should be capable of expressing their intrinsic uncertainty in natural language. For example, if the LLM is equally likely to output two contradicting answers to the same question, then its…

Computation and Language · Computer Science 2024-09-27 Gal Yona , Roee Aharoni , Mor Geva

Verification-guided self-improvement has recently emerged as a promising approach to improving the accuracy of large language model (LLM) outputs. However, existing approaches face a trade-off between inference efficiency and accuracy:…

Computation and Language · Computer Science 2026-03-24 Yuran Li , Di Wu , Benoit Boulet

Large language models (LLMs) often produce confident yet incorrect responses, and uncertainty quantification is one potential solution to more robust usage. Recent works routinely rely on self-consistency to estimate aleatoric uncertainty…

Artificial Intelligence · Computer Science 2026-04-21 Kimia Hamidieh , Veronika Thost , Walter Gerych , Mikhail Yurochkin , Marzyeh Ghassemi

In a plethora of recent work, large language models (LLMs) demonstrated impressive reasoning ability, but many proposed downstream reasoning tasks only focus on final answers. Two fundamental questions persist: 1) how consistent is the…

Computation and Language · Computer Science 2024-10-22 Ziyi Liu , Soumya Sanyal , Isabelle Lee , Yongkang Du , Rahul Gupta , Yang Liu , Jieyu Zhao

Consistency, which refers to the capability of generating the same predictions for semantically similar contexts, is a highly desirable property for a sound language understanding model. Although recent pretrained language models (PLMs)…

Computation and Language · Computer Science 2021-08-17 Myeongjun Jang , Deuk Sin Kwon , Thomas Lukasiewicz

Despite huge advances, LLMs still lack convenient and reliable methods to quantify the uncertainty in their responses, making them difficult to trust in high-stakes applications. One of the simplest approaches to eliciting more accurate…

Artificial Intelligence · Computer Science 2025-10-07 Aparna Nair-Kanneganti , Trevor J. Chan , Shir Goldfinger , Emily Mackay , Brian Anthony , Alison Pouch

Large language models (LLMs) often produce confident yet incorrect answers, which can lead to risky failures in real-world applications. We study whether post-training can make a model's self-assessment explicit: when the model is…

Machine Learning · Computer Science 2026-05-15 Junyu Guo , Shangding Gu , Ming Jin , Costas Spanos , Javad Lavaei

Test-time scaling improves large language models' (LLMs) performance by allocating more compute budget during inference. To achieve this, existing methods often require intricate modifications to prompting and sampling strategies. In this…

Computation and Language · Computer Science 2025-11-04 Junqi Jiang , Tom Bewley , Salim I. Amoukou , Francesco Leofante , Antonio Rago , Saumitra Mishra , Francesca Toni

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

Although language model scores are often treated as probabilities, their reliability as probability estimators has mainly been studied through calibration, overlooking other aspects. In particular, it is unclear whether language models…

Computation and Language · Computer Science 2024-10-01 Eitan Wagner , Yuli Slavutsky , Omri Abend

Large Language Models (LLMs) are increasingly applied to complex tasks that require extended reasoning. In such settings, models often benefit from diverse chains-of-thought to arrive at multiple candidate solutions. This requires two…

Machine Learning · Computer Science 2025-10-08 Xueyan Li , Guinan Su , Mrinmaya Sachan , Jonas Geiping

Self-improvement is a mechanism in Large Language Model (LLM) pre-training, post-training and test-time inference. We explore a framework where the model verifies its own outputs, filters or reweights data based on this verification, and…

Computation and Language · Computer Science 2025-02-26 Yuda Song , Hanlin Zhang , Carson Eisenach , Sham Kakade , Dean Foster , Udaya Ghai

Although Large Language Models (LLMs) demonstrate strong capabilities across various tasks, they exhibit significant performance discrepancies across languages. While prompting LLMs in English typically yields the highest general…

Computation and Language · Computer Science 2026-05-26 Andrew Ivan Soegeng , Patrick Sutanto , Tan Sang Nguyen

Large language models (LLMs) have shown promise for generative and knowledge-intensive tasks including question-answering (QA) tasks. However, the practical deployment still faces challenges, notably the issue of "hallucination", where…

Computation and Language · Computer Science 2023-10-11 Ziwei Ji , Tiezheng Yu , Yan Xu , Nayeon Lee , Etsuko Ishii , Pascale Fung

Large language models (LLMs) have shown increasing competence in solving mathematical reasoning problems. However, many open-source LLMs still struggle with errors in calculation and semantic understanding during intermediate reasoning…

Computation and Language · Computer Science 2024-12-18 Vernon Y. H. Toh , Deepanway Ghosal , Soujanya Poria

Large Language Models (LLMs) have emerged as a groundbreaking technology with their unparalleled text generation capabilities across various applications. Nevertheless, concerns persist regarding the accuracy and appropriateness of their…

Computation and Language · Computer Science 2024-03-15 Jie Huang , Xinyun Chen , Swaroop Mishra , Huaixiu Steven Zheng , Adams Wei Yu , Xinying Song , Denny Zhou

Large Language Models (LLMs) often produce outputs that -- though plausible -- can lack consistency and reliability, particularly in ambiguous or complex scenarios. Challenges arise from ensuring that outputs align with both factual…

Artificial Intelligence · Computer Science 2024-10-03 Weitong Zhang , Chengqi Zang , Bernhard Kainz

The tendency of Large Language Models (LLMs) to generate hallucinations raises concerns regarding their reliability. Therefore, confidence estimations indicating the extent of trustworthiness of the generations become essential. However,…

Computation and Language · Computer Science 2025-05-27 Boyang Xue , Hongru Wang , Rui Wang , Sheng Wang , Zezhong Wang , Yiming Du , Bin Liang , Wenxuan Zhang , Kam-Fai Wong

The tendency of Large Language Models (LLMs) to generate hallucinations raises concerns regarding their reliability. Therefore, confidence estimations indicating the extent of trustworthiness of the generations become essential. However,…

Computation and Language · Computer Science 2024-10-21 Boyang Xue , Hongru Wang , Rui Wang , Sheng Wang , Zezhong Wang , Yiming Du , Bin Liang , Kam-Fai Wong

Self-reflection -- the ability of a large language model (LLM) to revisit, evaluate, and revise its own reasoning -- has recently emerged as a powerful behavior enabled by reinforcement learning with verifiable rewards (RLVR). While…

Machine Learning · Computer Science 2025-06-17 Xudong Zhu , Jiachen Jiang , Mohammad Mahdi Khalili , Zhihui Zhu