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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…

While neural networks have demonstrated impressive performance across various tasks, accurately quantifying uncertainty in their predictions is essential to ensure their trustworthiness and enable widespread adoption in critical systems.…

Machine Learning · Statistics 2025-11-11 Joseph Wilson , Chris van der Heide , Liam Hodgkinson , Fred Roosta

Recent performance breakthroughs in Artificial intelligence (AI) and Machine learning (ML), especially advances in Deep learning (DL), the availability of powerful, easy-to-use ML libraries (e.g., scikit-learn, TensorFlow, PyTorch.), and…

Machine Learning · Computer Science 2023-03-24 Mahmoud Yaseen , Xu Wu

Trustworthy depression prediction based on deep learning, incorporating both predictive reliability and algorithmic fairness across diverse demographic groups, is crucial for clinical application. Recently, achieving reliable depression…

Machine Learning · Computer Science 2025-10-01 Yonghong Li , Zheng Zhang , Xiuzhuang Zhou

Uncertainty quantification (UQ) in scientific machine learning is increasingly critical as neural networks are widely adopted to tackle complex problems across diverse scientific disciplines. For physics-informed neural networks (PINNs), a…

Machine Learning · Statistics 2025-10-20 Frank Shih , Zhenghao Jiang , Faming Liang

Machine learning methods for the construction of data-driven reduced order model models are used in an increasing variety of engineering domains, especially as a supplement to expensive computational fluid dynamics for design problems. An…

Machine Learning · Statistics 2023-06-28 Stephen Guth , Alireza Mojahed , Themistoklis P. Sapsis

In nuclear reactor system design and safety analysis, the Best Estimate plus Uncertainty (BEPU) methodology requires that computer model output uncertainties must be quantified in order to prove that the investigated design stays within…

Computation · Statistics 2018-06-22 Xu Wu , Tomasz Kozlowski , Hadi Meidani , Koroush Shirvan

To evaluate a classification algorithm, it is common practice to plot the ROC curve using test data. However, the inherent randomness in the test data can undermine our confidence in the conclusions drawn from the ROC curve, necessitating…

Methodology · Statistics 2024-05-22 Zheshi Zheng , Bo Yang , Peter Song

Reinforcement learning agents are faced with two types of uncertainty. Epistemic uncertainty stems from limited data and is useful for exploration, whereas aleatoric uncertainty arises from stochastic environments and must be accounted for…

Machine Learning · Computer Science 2020-09-10 William R. Clements , Bastien Van Delft , Benoît-Marie Robaglia , Reda Bahi Slaoui , Sébastien Toth

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…

Despite the rapid advancement of Large Language Models (LLMs), uncertainty quantification in LLM generation is a persistent challenge. Although recent approaches have achieved strong performance by restricting LLMs to produce short or…

Computation and Language · Computer Science 2026-04-21 Haozhi Fan , Jinhao Duan , Kaidi Xu

Neural networks achieve outstanding accuracy in classification and regression tasks. However, understanding their behavior still remains an open challenge that requires questions to be addressed on the robustness, explainability and…

Machine Learning · Computer Science 2021-05-13 Anna-Kathrin Kopetzki , Stephan Günnemann

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

We introduce a novel approach for calibrating uncertainty quantification (UQ) tailored for multi-modal large language models (LLMs). Existing state-of-the-art UQ methods rely on consistency among multiple responses generated by the LLM on…

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

Ice sheet simulations suffer from vast parametric uncertainties, such as the basal sliding boundary condition or geothermal heat flux. Quantifying the resulting uncertainties in predictions is of utmost importance to support judicious…

Geophysics · Physics 2024-12-10 Nicole Aretz , Max Gunzburger , Mathieu Morlighem , Karen Willcox

Large language models (LLMs) have transformed natural language processing, but their reliable deployment requires effective uncertainty quantification (UQ). Existing UQ methods are often heuristic and lack a probabilistic interpretation.…

Computation and Language · Computer Science 2025-11-06 Haoyi Song , Ruihan Ji , Naichen Shi , Fan Lai , Raed Al Kontar

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

With the advancement of GPS, remote sensing, and computational simulations, large amounts of geospatial and spatiotemporal data are being collected at an increasing speed. Such emerging spatiotemporal big data assets, together with the…

Machine Learning · Computer Science 2024-06-24 Wenchong He , Zhe Jiang

A framework is developed based on different uncertainty quantification (UQ) techniques in order to assess validation and verification (V&V) metrics in computational physics problems, in general, and computational fluid dynamics (CFD), in…

Computational Physics · Physics 2020-07-15 Saleh Rezaeiravesh , Ricardo Vinuesa , Philipp Schlatter