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Artificial intelligence (AI)-based data-driven weather forecasting models have experienced rapid progress over the last years. Recent studies, with models trained on reanalysis data, achieve impressive results and demonstrate substantial…

Atmospheric and Oceanic Physics · Physics 2025-04-02 Christopher Bülte , Nina Horat , Julian Quinting , Sebastian Lerch

We consider the effect of different temporal error structures on the inference of equilibrium climate sensitivity\footnote{ECS is defined as the realized equilibrium surface warming---globally-averaged surface air temperature---for a…

Atmospheric and Oceanic Physics · Physics 2018-09-13 B. T. Nadiga , N. M. Urban

For objects in the low Earth orbit region, uncertainty in atmospheric density estimation is an important source of orbit prediction error, which is critical for space situational awareness activities such as the satellite conjunction…

Space Physics · Physics 2022-11-01 Smriti Nandan Paul , Richard J. Licata , Piyush M. Mehta

Uncertainty estimation has been extensively studied in recent literature, which can usually be classified as aleatoric uncertainty and epistemic uncertainty. In current aleatoric uncertainty estimation frameworks, it is often neglected that…

Computer Vision and Pattern Recognition · Computer Science 2021-11-23 Jing Zhang , Yuchao Dai , Mehrtash Harandi , Yiran Zhong , Nick Barnes , Richard Hartley

The CMIP global climate models (GCMs) assess that nearly 100% of global surface warming observed between 1850-1900 and 2011-2020 is attributable to anthropogenic drivers like greenhouse gas emissions. These models also generate future…

Physics and Society · Physics 2025-06-18 Nicola Scafetta

How will the climate system respond to anthropogenic forcings? One approach to this question relies on climate model projections. Current climate projections are considerably uncertain. Characterizing and, if possible, reducing this…

Applications · Statistics 2014-08-01 Won Chang , Murali Haran , Roman Olson , Klaus Keller

A general scheme, which includes constructions of coarse-grained (CG) models, weighted ensemble dynamics (WED) simulations and cluster analyses (CA) of stable states, is presented to detect dynamical and thermodynamical properties in…

Soft Condensed Matter · Physics 2008-12-04 Xin Zhou

Access to multiple predictive models trained for the same task, whether in regression or classification, is increasingly common in many applications. Aggregating their predictive uncertainties to produce reliable and efficient uncertainty…

Machine Learning · Statistics 2026-03-06 Nabil Alami , Jad Zakharia , Souhaib Ben Taieb

Mesoscale forecasts are now routinely performed as elements of operational forecasts and their outputs do appear convincing. However, despite their realistic appearance at times the comparison to observations is less favorable. At the grid…

Atmospheric and Oceanic Physics · Physics 2016-10-26 Markus Gross

Characterizing uncertainty is a common issue in nuclear measurement and has important implications for reliable physical discovery. Traditional methods are either insufficient to cope with the heterogeneous nature of uncertainty or…

Data Analysis, Statistics and Probability · Physics 2022-03-01 Pengcheng Ai , Zhi Deng , Yi Wang , Chendi Shen

Machine learning (ML) surrogate models are increasingly used in engineering analysis and design to replace computationally expensive simulation models, significantly reducing computational cost and accelerating decision-making processes.…

Machine Learning · Statistics 2025-07-22 Xiaoping Du

The uncertainty quantifications of theoretical results are of great importance to make meaningful comparisons of those results with experimental data and to make predictions in experimentally unknown regions. By quantifying uncertainties,…

Nuclear Theory · Physics 2018-12-10 Sota Yoshida , Noritaka Shimizu , Tomoaki Togashi , Takaharu Otsuka

Estimating and disentangling epistemic uncertainty, uncertainty that is reducible with more training data, and aleatoric uncertainty, uncertainty that is inherent to the task at hand, is critically important when applying machine learning…

Machine Learning · Computer Science 2024-11-08 Matthew A. Chan , Maria J. Molina , Christopher A. Metzler

Text classifiers built on Pre-trained Language Models (PLMs) have achieved remarkable progress in various tasks including sentiment analysis, natural language inference, and question-answering. However, the occurrence of uncertain…

Computation and Language · Computer Science 2023-06-07 Jiazheng Li , Zhaoyue Sun , Bin Liang , Lin Gui , Yulan He

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

Global warming, the phenomenon of increasing global average temperature in the recent decades, is receiving wide attention due to its very significant adverse effects on climate. Whether global warming will continue even in the future, is a…

Applications · Statistics 2026-02-24 Debashis Chatterjee , Sourabh Bhattacharya

There is now a rapidly growing body of experimental data relevant to the question of whether the standard model CKM quark mixing matrix is a correct description of \CP-violation as well as of non--\CP-violating flavor decay processes. In…

High Energy Physics - Phenomenology · Physics 2009-09-29 G. P. Dubois-Felsmann , D. G. Hitlin , F. C. Porter , G. Eigen

Data-driven forecasts of air quality have recently achieved more accurate short-term predictions. Despite their success, most of the current data-driven solutions lack proper quantifications of model uncertainty that communicate how much to…

Machine Learning · Computer Science 2021-12-07 Abdulmajid Murad , Frank Alexander Kraemer , Kerstin Bach , Gavin Taylor

Conformal prediction (CP) and its extension, conformal risk control (CRC), are established frameworks for quantifying uncertainty in supervised machine learning through formal guarantees. However, recent breakthroughs in artificial…

Machine Learning · Computer Science 2026-05-29 Gabriel Loaiza-Ganem , Kevin Zhang , Wei Cui , Marc T. Law , Kin Kwan Leung

Uncertainty quantification (UQ) is crucial in safety-critical applications such as medical image segmentation. Total uncertainty is typically decomposed into data-related aleatoric uncertainty (AU) and model-related epistemic uncertainty…

Computer Vision and Pattern Recognition · Computer Science 2026-03-20 Jakob Lønborg Christensen , Vedrana Andersen Dahl , Morten Rieger Hannemose , Anders Bjorholm Dahl , Christian F. Baumgartner