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Scientific Machine Learning is a new class of approaches that integrate physical knowledge and mechanistic models with data-driven techniques for uncovering governing equations of complex processes. Among the available approaches, Universal…

Machine Learning · Statistics 2024-06-14 Nina Schmid , David Fernandes del Pozo , Willem Waegeman , Jan Hasenauer

Wind gusts, being inherently stochastic, can significantly influence the safety and performance of aircraft. This study investigates a three-dimensional uncertainty quantification (UQ) problem to explore how uncertainties in gust and flight…

Computational Engineering, Finance, and Science · Computer Science 2025-01-08 Bingran Wang , Michael Warner , Aoran Tian , Luca Scotzniovsky , John T. Hwang

Large Language Diffusion Models (LLDMs) are emerging as an alternative to autoregressive models, offering faster inference through higher parallelism. Similar to autoregressive LLMs, they remain prone to hallucinations, making reliable…

Computation and Language · Computer Science 2026-05-15 Artem Vazhentsev , Vladislav Smirnov , David Li , Maxim Panov , Timothy Baldwin , Artem Shelmanov

Deep learning-based object pose estimators are often unreliable and overconfident especially when the input image is outside the training domain, for instance, with sim2real transfer. Efficient and robust uncertainty quantification (UQ) in…

Development of an accurate, flexible, and numerically efficient uncertainty quantification (UQ) method is one of fundamental challenges in machine learning. Previously, a UQ method called DISCO Nets has been proposed (Bouchacourt et al.,…

Machine Learning · Computer Science 2023-07-06 Takuya Kanazawa , Chetan Gupta

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

Using a cyclotron based model problem, we demonstrate for the first time the applicability and usefulness of a uncertainty quantification (UQ) approach in order to construct surrogate models for quantities such as emittance, energy spread…

Accelerator Physics · Physics 2018-12-13 Andreas Adelmann

Quantifying uncertainties for machine learning models is a critical step to reduce human verification effort by detecting predictions with low confidence. This paper proposes a method for uncertainty quantification (UQ) of table structure…

Computer Vision and Pattern Recognition · Computer Science 2024-07-03 Kehinde Ajayi , Leizhen Zhang , Yi He , Jian Wu

Consistency-based methods have emerged as an effective approach to uncertainty quantification (UQ) in large language models. These methods typically rely on several generations obtained via multinomial sampling, measuring their agreement…

Uncertainty Quantification (UQ) is a key discipline for computational modeling of complex systems, enhancing reliability of engineering simulations. In crashworthiness, having an accurate assessment of the behavior of the model uncertainty…

Methodology · Statistics 2021-09-17 Marc Rocas , Alberto García-González , Sergio Zlotnik , Xabier Larráyoz , Pedro Díez

The hybrid neural differentiable models mark a significant advancement in the field of scientific machine learning. These models, integrating numerical representations of known physics into deep neural networks, offer enhanced predictive…

Machine Learning · Computer Science 2024-01-02 Deepak Akhare , Tengfei Luo , Jian-Xun Wang

This review is designed to introduce mathematicians and computational scientists to quantum computing (QC) through the lens of uncertainty quantification (UQ) by presenting a mathematically rigorous and accessible narrative for…

Quantum Physics · Physics 2026-03-30 Ryan Bennink , Olena Burkovska , Konstantin Pieper , Jorge Ramirez , Elaine Wong

The introduction of the Segment Anything Model (SAM) has paved the way for numerous semantic segmentation applications. For several tasks, quantifying the uncertainty of SAM is of particular interest. However, the ambiguous nature of the…

Computer Vision and Pattern Recognition · Computer Science 2025-07-30 Timo Kaiser , Thomas Norrenbrock , Bodo Rosenhahn

There are essentially three kinds of approaches to Uncertainty Quantification (UQ): (A) robust optimization, (B) Bayesian, (C) decision theory. Although (A) is robust, it is unfavorable with respect to accuracy and data assimilation. (B)…

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

The univariate dimension reduction (UDR) method stands as a way to estimate the statistical moments of the output that is effective in a large class of uncertainty quantification (UQ) problems. UDR's fundamental strategy is to approximate…

Computational Engineering, Finance, and Science · Computer Science 2024-10-17 Bingran Wang , Nicholas C. Orndorff , Mark Sperry , John T. Hwang

Large Language Models (LLMs) excel in text generation, reasoning, and decision-making, enabling their adoption in high-stakes domains such as healthcare, law, and transportation. However, their reliability is a major concern, as they often…

Computation and Language · Computer Science 2025-06-05 Xiaoou Liu , Tiejin Chen , Longchao Da , Chacha Chen , Zhen Lin , Hua Wei

Differential dynamic microscopy (DDM) is a form of video image analysis that combines the sensitivity of scattering and the direct visualization benefits of microscopy. DDM is broadly useful in determining dynamical properties including the…

Soft Condensed Matter · Physics 2022-04-12 Mengyang Gu , Yimin Luo , Yue He , Matthew E. Helgeson , Megan T. Valentine

With the increased prevalence of neural operators being used to provide rapid solutions to partial differential equations (PDEs), understanding the accuracy of model predictions and the associated error levels is necessary for deploying…

Machine Learning · Computer Science 2026-02-26 Nick Winovich , Mitchell Daneker , Lu Lu , Guang Lin

Uncertainty quantification (UQ) is an essential tool for applying deep neural networks (DNNs) to real world tasks, as it attaches a degree of confidence to DNN outputs. However, despite its benefits, UQ is often left out of the standard DNN…

Computer Vision and Pattern Recognition · Computer Science 2024-10-07 Nils Lehmann , Jakob Gawlikowski , Adam J. Stewart , Vytautas Jancauskas , Stefan Depeweg , Eric Nalisnick , Nina Maria Gottschling