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Simulating complex physical systems is crucial for understanding and predicting phenomena across diverse fields, such as fluid dynamics and heat transfer, as well as plasma physics and structural mechanics. Traditional approaches rely on…

Uncertainty is a fundamental challenge in medical practice, but current medical AI systems fail to explicitly quantify or communicate uncertainty in a way that aligns with clinical reasoning. Existing XAI works focus on interpreting model…

Artificial Intelligence · Computer Science 2025-09-24 Xiuyi Fan

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

The requirement to generate robust robotic platforms is a critical enabling step to allow such platforms to permeate safety-critical applications (i.e., the localization of autonomous platforms in urban environments). One of the primary…

Signal Processing · Electrical Eng. & Systems 2019-08-14 Ryan M. Watson , Jason N. Gross , Clark N. Taylor , Robert C. Leishman

We have recently proposed a rigorous framework for Uncertainty Quantification (UQ) in which UQ objectives and assumption/information set are brought into the forefront, providing a framework for the communication and comparison of UQ…

Discrete Mathematics · Computer Science 2012-02-07 M. McKerns , H. Owhadi , C. Scovel , T. J. Sullivan , M. Ortiz

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…

Molecular dynamics simulation is now a widespread approach for understanding complex systems on the atomistic scale. It finds applications from physics and chemistry to engineering, life and medical science. In the last decade, the approach…

Computational Physics · Physics 2021-04-28 Shunzhou Wan , Robert C. Sinclair , Peter V. Coveney

In robust optimization, the uncertainty set is used to model all possible outcomes of uncertain parameters. In the classic setting, one assumes that this set is provided by the decision maker based on the data available to her. Only…

Optimization and Control · Mathematics 2019-01-23 Trivikram Dokka , Marc Goerigk , Rahul Roy

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

Accurate representations of unknown and sub-grid physical processes through parameterizations (or closure) in numerical simulations with quantified uncertainty are critical for resolving the coarse-grained partial differential equations…

Machine Learning · Computer Science 2024-05-08 Yongquan Qu , Mohamed Aziz Bhouri , Pierre Gentine

Due to their intuitive appeal, Bayesian methods of modeling and uncertainty quantification have become popular in modern machine and deep learning. When providing a prior distribution over the parameter space, it is straightforward to…

Machine Learning · Statistics 2025-06-05 Ivan Melev , Goeran Kauermann

Treating uncertainties in models is essential in many fields of science and engineering. Uncertainty quantification (UQ) on complex and computationally costly numerical models necessitates a combination of efficient model solvers, advanced…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-04-28 Linus Seelinger , Anne Reinarz , Jean Benezech , Mikkel Bue Lykkegaard , Lorenzo Tamellini , Robert Scheichl

In many parts of the world, electric power systems have seen a significant shift towards generation from renewable energy and natural gas. Because of their ability to flexibly adjust power generation in real time, gas-fired power plants are…

Systems and Control · Electrical Eng. & Systems 2020-06-26 Line A. Roald , Kaarthik Sundar , Anatoly Zlotnik , Sidhant Misra , Göran Andersson

Mathematical models simulate various events under different conditions, enabling an early overview of the system to be implemented in practice, reducing the waste of resources and in less time. In project optimization, these models play a…

Optimization and Control · Mathematics 2021-05-11 Gustavo Barbosa Libotte , Fran Sérgio Lobato , Francisco Duarte Moura Neto , Gustavo Mendes Platt

Evaluated nuclear data uncertainties are often perceived as unrealistic, most often because they are thought to be too small. The impact of this issue in applied nuclear science has been discussed widely in recent years. Commonly suggested…

Data Analysis, Statistics and Probability · Physics 2020-04-28 R. Capote , S. Badikov , A. Carlson , I. Duran , F. Gunsing , D. Neudecker , V. G. Pronyaev , P. Schillebeeckx , G. Schnabel , D. L. Smith , A. Wallner

We present an online and data-driven uncertainty quantification method to enable the development of safe human-robot collaboration applications. Safety and risk assessment of systems are strongly correlated with the accuracy of…

Robotics · Computer Science 2022-09-02 Woo-Jeong Baek , Christoph Ledermann , Torsten Kröger

Simflowny is an open platform which automatically generates efficient parallel code of scientific dynamical models for different simulation frameworks. Here we present major upgrades on this software to support simultaneously a quite…

Computational Physics · Physics 2020-12-02 C. Palenzuela , B. Miñano , A. Arbona , C. Bona-Casas , C. Bona , J. Massó

Modern science, technology, and politics are all permeated by data that comes from people, measurements, or computational processes. While this data is often incomplete, corrupt, or lacking in sufficient accuracy and precision, explicit…

The rapid growth and diversity in service offerings and the ensuing complexity of information technology ecosystems present numerous management challenges (both operational and strategic). Instrumentation and measurement technology is, by…

Software Engineering · Computer Science 2012-06-26 Moises Goldszmidt

Unreliable predictions can occur when using artificial intelligence (AI) systems with negative consequences for downstream applications, particularly when employed for decision-making. Conformal prediction provides a model-agnostic…

Machine Learning · Computer Science 2024-01-15 Geethen Singh , Glenn Moncrieff , Zander Venter , Kerry Cawse-Nicholson , Jasper Slingsby , Tamara B Robinson