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The role of uncertainty quantification (UQ) in deep learning has become crucial with growing use of predictive models in high-risk applications. Though a large class of methods exists for measuring deep uncertainties, in practice, the…

Machine Learning · Statistics 2019-11-01 Bindya Venkatesh , Jayaraman J. Thiagarajan

The accurate representation of epistemic uncertainty is a challenging yet essential task in machine learning. A widely used representation corresponds to convex sets of probabilistic predictors, also known as credal sets. One popular way of…

Machine Learning · Computer Science 2025-07-30 Mira Jürgens , Thomas Mortier , Eyke Hüllermeier , Viktor Bengs , Willem Waegeman

Large language models (LLMs) specializing in natural language generation (NLG) have recently started exhibiting promising capabilities across a variety of domains. However, gauging the trustworthiness of responses generated by LLMs remains…

Computation and Language · Computer Science 2024-05-21 Zhen Lin , Shubhendu Trivedi , Jimeng Sun

Neural networks (NNs) are currently changing the computational paradigm on how to combine data with mathematical laws in physics and engineering in a profound way, tackling challenging inverse and ill-posed problems not solvable with…

Machine Learning · Computer Science 2023-02-08 Apostolos F Psaros , Xuhui Meng , Zongren Zou , Ling Guo , George Em Karniadakis

Calibrated uncertainty estimates in machine learning are crucial to many fields such as autonomous vehicles, medicine, and weather and climate forecasting. While there is extensive literature on uncertainty calibration for classification,…

Machine Learning · Computer Science 2021-03-16 Eric Zelikman , Christopher Healy , Sharon Zhou , Anand Avati

The ability to replicate predictions by machine learning (ML) or artificial intelligence (AI) models and results in scientific workflows that incorporate such ML/AI predictions is driven by numerous factors. An uncertainty-aware metric that…

Machine Learning · Computer Science 2023-08-28 Line Pouchard , Kristofer G. Reyes , Francis J. Alexander , Byung-Jun Yoon

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

Machine Learning Interatomic Potentials (MLIPs) achieve near ab initio accuracy at a fraction of the cost of quantum-mechanical simulations, yet they remain prone to silent failures on out-of-distribution configurations, making principled…

Computational Engineering, Finance, and Science · Computer Science 2026-05-27 Olga Zaghen , Maksim Zhdanov , Dario Coscia , David R. Wessels , Erik J. Bekkers

When does a large language model (LLM) know what it does not know? Uncertainty quantification (UQ) provides measures of uncertainty, such as an estimate of the confidence in an LLM's generated output, and is therefore increasingly…

Computation and Language · Computer Science 2025-10-17 Debarun Bhattacharjya , Balaji Ganesan , Junkyu Lee , Radu Marinescu , Katsiaryna Mirylenka , Michael Glass , Xiao Shou

Uncertainty in probabilistic classifiers predictions is a key concern when models are used to support human decision making, in broader probabilistic pipelines or when sensitive automatic decisions have to be taken. Studies have shown that…

Machine Learning · Computer Science 2021-09-09 Nicolas Posocco , Antoine Bonnefoy

Uncertainty quantification is a key pillar of trustworthy machine learning. It enables safe reactions under unsafe inputs, like predicting only when the machine learning model detects sufficient evidence, discarding anomalous data, or…

Machine Learning · Computer Science 2024-08-27 Michael Kirchhof

Large Language Models (LLMs) are increasingly assisting users in the real world, yet their reliability remains a concern. Uncertainty quantification (UQ) has been heralded as a tool to enhance human-LLM collaboration by enabling users to…

Computation and Language · Computer Science 2025-06-10 Siddartha Devic , Tejas Srinivasan , Jesse Thomason , Willie Neiswanger , Vatsal Sharan

Uncertainty quantification (UQ) is important for reliability assessment and enhancement of machine learning models. In deep learning, uncertainties arise not only from data, but also from the training procedure that often injects…

Machine Learning · Statistics 2023-11-13 Ziyi Huang , Henry Lam , Haofeng Zhang

Large language Models (LLMs) have achieved significant breakthroughs across diverse domains; however, they can still produce unreliable or misleading outputs. For responsible LLM application, Uncertainty Quantification (UQ) techniques are…

Machine Learning · Computer Science 2026-05-15 Qihao Wen , Jiahao Wang , Yang Nan , Pengfei He , Ravi Tandon , Han Xu

Uncertainty Quantification (UQ) is pivotal in enhancing the robustness, reliability, and interpretability of Machine Learning (ML) systems for healthcare, optimizing resources and improving patient care. Despite the emergence of ML-based…

Machine Learning · Computer Science 2025-05-07 L. Julián Lechuga López , Shaza Elsharief , Dhiyaa Al Jorf , Firas Darwish , Congbo Ma , Farah E. Shamout

Traditional deep learning (DL) models are powerful classifiers, but many approaches do not provide uncertainties for their estimates. Uncertainty quantification (UQ) methods for DL models have received increased attention in the literature…

Machine Learning · Computer Science 2023-08-14 Daniel Ries , Joshua Michalenko , Tyler Ganter , Rashad Imad-Fayez Baiyasi , Jason Adams

Ensuring the generalisability of clinical machine learning (ML) models across diverse healthcare settings remains a significant challenge due to variability in patient demographics, disease prevalence, and institutional practices. Existing…

Machine Learning · Computer Science 2025-04-30 Bradley Segal , Joshua Fieggen , David Clifton , Lei Clifton

Operator learning is a recently developed generalization of regression to mappings between functions. It promises to drastically reduce expensive numerical integration of PDEs to fast evaluations of mappings between functional states of a…

Machine Learning · Computer Science 2025-12-23 Tian Yu Yen , Reese E. Jones , Ravi G. Patel

Data-driven methods based on machine learning have the potential to accelerate computational analysis of atomic structures. In this context, reliable uncertainty estimates are important for assessing confidence in predictions and enabling…

Machine Learning · Computer Science 2021-11-04 Jonas Busk , Peter Bjørn Jørgensen , Arghya Bhowmik , Mikkel N. Schmidt , Ole Winther , Tejs Vegge

Bayesian statistics has gained popularity in psychological research due to its intuitive uncertainty quantification and convenient information-updating rules. In many applications, however, prior distributions are introduced merely as…

Methodology · Statistics 2026-03-10 Yang Liu , Jonathan P. Williams , Jan Hannig