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In a Bayesian setting, inverse problems and uncertainty quantification (UQ) - the propagation of uncertainty through a computational (forward) model - are strongly connected. In the form of conditional expectation the Bayesian update…

Numerical Analysis · Mathematics 2014-04-09 Alexander Litvinenko , Hermann G. Matthies

Inverse UQ is the process to inversely quantify the model input uncertainties based on experimental data. This work focuses on developing an inverse UQ process for time-dependent responses, using dimensionality reduction by functional…

Machine Learning · Statistics 2024-01-08 Ziyu Xie , Mahmoud Yaseen , Xu Wu

The last decade in deep learning has brought on increasingly capable systems that are deployed on a wide variety of applications. In natural language processing, the field has been transformed by a number of breakthroughs including large…

Artificial Intelligence · Computer Science 2024-10-23 Dennis Ulmer

Uncertainty Quantification (UQ) is essential in probabilistic machine learning models, particularly for assessing the reliability of predictions. In this paper, we present a systematic framework for estimating both epistemic and aleatoric…

Machine Learning · Statistics 2025-09-11 Marzieh Ajirak , Anand Ravishankar , Petar M. Djuric

Uncertainty Quantification (UQ) is a booming discipline for complex computational models based on the analysis of robustness, reliability and credibility. UQ analysis for nonlinear crash models with high dimensional outputs presents…

Computational Engineering, Finance, and Science · Computer Science 2021-03-31 Marc Rocas , Alberto García-González , Xabier Larrayoz , Pedro Díez

This research aims to unravel how large language models (LLMs) iteratively refine token predictions through internal processing. We utilized a logit lens technique to analyze the model's token predictions derived from intermediate…

Computation and Language · Computer Science 2025-06-10 Jaturong Kongmanee

This paper introduces CUQIpy, a versatile open-source Python package for computational uncertainty quantification (UQ) in inverse problems, presented as Part I of a two-part series. CUQIpy employs a Bayesian framework, integrating prior…

Uncertainty quantification in automated image analysis is highly desired in many applications. Typically, machine learning models in classification or segmentation are only developed to provide binary answers; however, quantifying the…

Reliable Sound Source Localization (SSL) plays an essential role in many downstream tasks, where informed decision making depends not only on accurate localization but also on the confidence in each estimate. This need for reliability…

Audio and Speech Processing · Electrical Eng. & Systems 2026-03-19 Vadim Rozenfeld , Bracha Laufer Goldshtein

Trustworthy deployment of ML models requires a proper measure of uncertainty, especially in safety-critical applications. We focus on uncertainty quantification (UQ) for classification problems via two avenues -- prediction sets using…

Machine Learning · Statistics 2021-07-08 Aleksandr Podkopaev , Aaditya Ramdas

This paper explores uncertainty quantification (UQ) as an indicator of the trustworthiness of automated deep-learning (DL) tools in the context of white matter lesion (WML) segmentation from magnetic resonance imaging (MRI) scans of…

In safety-critical applications, language models should be able to characterize their uncertainty with meaningful probabilities. Many uncertainty quantification approaches require supervised data; however, finding suitable unseen…

Computation and Language · Computer Science 2026-05-14 Sophia Hager , Simon Zeng , Nicholas Andrews

Uncertainty estimation is critical for numerous applications of deep neural networks and draws growing attention from researchers. Here, we demonstrate an uncertainty quantification approach for deep neural networks used in inverse problems…

Computer Vision and Pattern Recognition · Computer Science 2023-12-15 Luzhe Huang , Jianing Li , Xiaofu Ding , Yijie Zhang , Hanlong Chen , Aydogan Ozcan

Uncertainty quantification (UQ) remains a critical challenge in Large Vision Language Models (LVLMs) for reliable predictions and real-world deployment. However, most existing methods are adapted from the LLM literature and primarily focus…

Computer Vision and Pattern Recognition · Computer Science 2026-05-27 Joseph Hoche , David Brellmann , Gianni Franchi

Clinical language models (LMs) are increasingly applied to support clinical risk prediction from free-text notes, yet their uncertainty estimates often remain poorly calibrated and clinically unreliable. In this work, we propose Clinical…

Computation and Language · Computer Science 2026-04-27 Sizhe Wang , Ziqi Xu , Claire Najjuuko , Charles Alba , Chenyang Lu

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 estimation is critical for deploying reasoning language models, yet remains poorly understood under extended chain-of-thought reasoning. We study parallel sampling as a fully black-box approach using verbalized confidence and…

Artificial Intelligence · Computer Science 2026-03-20 Maksym Del , Markus Kängsepp , Marharyta Domnich , Ardi Tampuu , Lisa Yankovskaya , Meelis Kull , Mark Fishel

Despite warnings that LLMs can make mistakes, users often develop inappropriate trust and accept incorrect answers without critical evaluation. Uncertainty quantification (UQ), displaying LLMs' confidence, has emerged as a promising…

Human-Computer Interaction · Computer Science 2026-05-28 Mauricio Villavicencio , Sitong Pan , Qianwen Wang

Calibration is central to reliable semantic uncertainty quantification, yet prior work has largely focused on discrimination, neglecting calibration. As calibration and discrimination capture distinct aspects of uncertainty, focusing on…

Machine Learning · Computer Science 2026-04-09 Tom A. Lamb , Desi R. Ivanova , Philip H. S. Torr , Tim G. J. Rudner

Assessing classification confidence is critical for leveraging large language models (LLMs) in automated labeling tasks, especially in the sensitive domains presented by Computational Social Science (CSS) tasks. In this paper, we make three…

Human-Computer Interaction · Computer Science 2024-11-05 David Farr , Iain Cruickshank , Nico Manzonelli , Nicholas Clark , Kate Starbird , Jevin West