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Quantifying uncertainty is important for actionable predictions in real-world applications. A crucial part of predictive uncertainty quantification is the estimation of epistemic uncertainty, which is defined as an integral of the product…

Machine Learning · Computer Science 2023-10-25 Kajetan Schweighofer , Lukas Aichberger , Mykyta Ielanskyi , Günter Klambauer , Sepp Hochreiter

Accurately quantifying a large language model's (LLM) predictive uncertainty is crucial for judging the reliability of its answers. While most existing research focuses on short, directly answerable questions with closed-form outputs (e.g.,…

Computation and Language · Computer Science 2025-08-08 Yinghao Li , Rushi Qiang , Lama Moukheiber , Chao Zhang

With model trustworthiness being crucial for sensitive real-world applications, practitioners are putting more and more focus on improving the uncertainty calibration of deep neural networks. Calibration errors are designed to quantify the…

Machine Learning · Computer Science 2024-03-14 Sebastian G. Gruber , Florian Buettner

We present $\Delta$-UQ -- a novel, general-purpose uncertainty estimator using the concept of anchoring in predictive models. Anchoring works by first transforming the input into a tuple consisting of an anchor point drawn from a prior…

Machine Learning · Computer Science 2021-10-06 Rushil Anirudh , Jayaraman J. Thiagarajan

Reasoning language models have set state-of-the-art (SOTA) records on many challenging benchmarks, enabled by multi-step reasoning induced using reinforcement learning. However, like previous language models, reasoning models are prone to…

Artificial Intelligence · Computer Science 2025-07-21 Zhiting Mei , Christina Zhang , Tenny Yin , Justin Lidard , Ola Shorinwa , Anirudha Majumdar

In the context of Monte Carlo (MC) simulation of particle transport Uncertainty Quantification (UQ) addresses the issue of predicting non statistical errors affecting the physical results, i.e. errors deriving mainly from uncertainties in…

Computational Physics · Physics 2015-06-18 Paolo Saracco , Maria Grazia Pia

Techniques from artificial intelligence and machine learning are increasingly employed in nuclear theory, however, the uncertainties that arise from the complex parameter manifold encoded by the neural networks are often overlooked.…

Nuclear Theory · Physics 2025-10-29 Mengyao Huang , Kyle A. Wendt , Nicolas F. Schunck , Erika M. Holmbeck

In principle, deep learning models trained on medical time-series, including wearable photoplethysmography (PPG) sensor data, can provide a means to continuously monitor physiological parameters outside of clinical settings. However, there…

Reliable uncertainty quantification (UQ) is essential for ensuring trustworthy downstream use of large language models, especially when they are deployed in decision-support and other knowledge-intensive applications. Model certainty can be…

Computation and Language · Computer Science 2025-11-04 Autumn Toney-Wails , Ryan Wails

Uncertainty quantification (UQ) is a prominent approach for eliciting truthful answers from large language models (LLMs). To date, information-based and consistency-based UQ have been the dominant UQ methods for text generation via LLMs.…

Computation and Language · Computer Science 2026-04-29 Artem Vazhentsev , Lyudmila Rvanova , Ivan Lazichny , Alexander Panchenko , Maxim Panov , Timothy Baldwin , Artem Shelmanov

Uncertainty Quantification (UQ) for Natural Language Generation (NLG) is crucial for assessing the performance of Large Language Models (LLMs), as it reveals confidence in predictions, identifies failure modes, and gauges output…

Computation and Language · Computer Science 2025-04-09 Sean Wang , Yicheng Jiang , Yuxin Tang , Lu Cheng , Hanjie Chen

We have recently proposed a rigorous framework for Uncertainty Quantification (UQ) in which UQ objectives and assumption/information set are brought into the forefront, providing a framework for the communication and comparison of UQ…

Discrete Mathematics · Computer Science 2012-02-07 M. McKerns , H. Owhadi , C. Scovel , T. J. Sullivan , M. Ortiz

Uncertainty Quantification (UQ) is vital to safety-critical model-based analyses, but the widespread adoption of sophisticated UQ methods is limited by technical complexity. In this paper, we introduce UM-Bridge (the UQ and Modeling…

Large language models (LLMs) exhibit impressive fluency, but often produce critical errors known as "hallucinations". Uncertainty quantification (UQ) methods are a promising tool for coping with this fundamental shortcoming. Yet, existing…

Neural Network (NN) models provide potential to speed up the drug discovery process and reduce its failure rates. The success of NN models require uncertainty quantification (UQ) as drug discovery explores chemical space beyond the training…

Machine Learning · Computer Science 2022-11-01 Ya Ju Fan , Jonathan E. Allen , Kevin S. McLoughlin , Da Shi , Brian J. Bennion , Xiaohua Zhang , Felice C. Lightstone

Calibrating a Reynolds-averaged Navier-Stokes (RANS) model against data leads to an improvement. Determining {\it a priori} if such an improvement generalizes to flows outside the calibration data is an outstanding challenge. This work…

Fluid Dynamics · Physics 2023-03-07 Xinyi Huang , Naman Jain , Mahdi Abkar , Robert Kunz , Xiang Yang

We present a "module-based hybrid" Uncertainty Quantification (UQ) framework for general nonlinear multi-physics simulation. The proposed methodology, introduced in [\hyperlink{ref1}{1}], supports the independent development of each…

Computational Physics · Physics 2014-10-21 Akshay Mittal , Xiao Chen , Charles Tong , Gianluca Iaccarino

Table structure recognition (TSR) and optical character recognition (OCR) play crucial roles in extracting structured data from tables in scientific documents. However, existing extraction frameworks built on top of TSR and OCR methods…

Information Retrieval · Computer Science 2025-07-10 Kehinde Ajayi , Yi He , Jian Wu

Uncertainty quantification (UQ) in natural language generation (NLG) tasks remains an open challenge, exacerbated by the closed-source nature of the latest large language models (LLMs). This study investigates applying conformal prediction…

Computation and Language · Computer Science 2024-11-19 Zhiyuan Wang , Jinhao Duan , Lu Cheng , Yue Zhang , Qingni Wang , Xiaoshuang Shi , Kaidi Xu , Hengtao Shen , Xiaofeng Zhu

Large Language Models (LLMs) are commonly used in Question Answering (QA) settings, increasingly in the natural sciences if not science at large. Reliable Uncertainty Quantification (UQ) is critical for the trustworthy uptake of generated…

Computation and Language · Computer Science 2026-02-03 Philip Müller , Nicholas Popovič , Michael Färber , Peter Steinbach