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We present examples of validating components of an astrophysical simulation code. Problems of stellar astrophysics are multi-dimensional and involve physics acting on large ranges of length and time scales that are impossible to include in…

Solar and Stellar Astrophysics · Physics 2018-09-10 A. C. Calder , D. M. Townsley

We present a multi-fidelity method for uncertainty quantification of parameter estimates in complex systems, leveraging generative models trained to sample the target conditional distribution. In the Bayesian inference setting, traditional…

Machine Learning · Computer Science 2025-04-03 Caroline Tatsuoka , Minglei Yang , Dongbin Xiu , Guannan Zhang

In automated driving, predicting and accommodating the uncertain future motion of other traffic participants is challenging, especially in unstructured environments in which the high-level intention of traffic participants is difficult to…

Systems and Control · Electrical Eng. & Systems 2024-02-05 Tommaso Benciolini , Yuntian Yan , Dirk Wollherr , Marion Leibold

We consider the problem of verifying safety for continuous-time dynamical systems. Developing upon recent advancements in data-driven verification, we use only a finite number of sampled trajectories to learn a barrier certificate, namely a…

Systems and Control · Electrical Eng. & Systems 2025-08-11 Luke Rickard , Alessandro Abate , Kostas Margellos

The failure of hardware or software in a critical system can lead to loss of lives. The design errors can be main source of the failures that can be introduced during system development process. Formal techniques are an alternative approach…

Software Engineering · Computer Science 2014-07-04 Dominique Méry , Neeraj Kumar Singh

Machine learning models have emerged as a very effective strategy to sidestep time-consuming electronic-structure calculations, enabling accurate simulations of greater size, time scale and complexity. Given the interpolative nature of…

Given its ability to analyse stochastic models ranging from discrete and continuous-time Markov chains to Markov decision processes and stochastic games, probabilistic model checking (PMC) is widely used to verify system dependability and…

Logic in Computer Science · Computer Science 2025-03-26 Radu Calinescu , Sinem Getir Yaman , Simos Gerasimou , Gricel Vázquez , Micah Bassett

Simulations of coronary hemodynamics have improved non-invasive clinical risk stratification and treatment outcomes for coronary artery disease, compared to relying on anatomical imaging alone. However, simulations typically use empirical…

This paper describes a methodology for learning flight control systems from human demonstrations and interventions while considering the estimated uncertainty in the learned models. The proposed approach uses human demonstrations to train…

This paper addresses the problem of risk-aware fixed-time stabilization of a class of uncertain, output-feedback nonlinear systems modeled via stochastic differential equations. First, novel classes of certificate functions, namely…

Optimization and Control · Mathematics 2024-04-01 Mitchell Black , Georgios Fainekos , Bardh Hoxha , Dimitra Panagou

Obtaining predictive low-order models is a central challenge in fluid dynamics. Data-driven frameworks have been widely used to obtain low-order models of aerodynamic systems; yet, resulting models tend to yield predictions that grow…

Controlling UAV flights precisely requires a realistic dynamic model and accurate state estimates from onboard sensors like UAV, GPS and visual observations. Obtaining a precise dynamic model is extremely difficult, as important aerodynamic…

Robotics · Computer Science 2022-03-29 Quentin Possamaï , Steeven Janny , Madiha Nadri , Laurent Bako , Christian Wolf

Inference on unknown quantities in dynamical systems via observational data is essential for providing meaningful insight, furnishing accurate predictions, enabling robust control, and establishing appropriate designs for future…

Methodology · Statistics 2018-02-06 M. Chung , M. Binois , R. B. Gramacy , D. J. Moquin , A. P. Smith , A. M. Smith

Modern autonomous systems with machine learning components often use uncertainty quantification to help produce assurances about system operation. However, there is a lack of consensus in the community on what uncertainty is and how to…

Systems and Control · Electrical Eng. & Systems 2026-01-27 Sampada Deglurkar , Haotian Shen , Anish Muthali , Marco Pavone , Dragos Margineantu , Peter Karkus , Boris Ivanovic , Claire J. Tomlin

Safety-critical control systems, such as spacecraft performing proximity operations, must provide formal safety guarantees despite stochastic uncertainties from state estimation and unmodeled dynamics. Although Control Barrier Functions…

Systems and Control · Electrical Eng. & Systems 2026-04-13 Kazuya Echigo , David E. J. van Wijk , Pol Mestres , Ersin Daş , Joel W. Burdick , Aaron D. Ames

Motivated by critical challenges and needs from biopharmaceuticals manufacturing, we propose a general metamodel-assisted stochastic simulation uncertainty analysis framework to accelerate the development of a simulation model with modular…

Methodology · Statistics 2022-09-07 Wei Xie , Russell R. Barton , Barry L. Nelson , Keqi Wang

The paper illustrates an application of the Resampling approach [2] for the estimation of the aircraft circulation plan reliability. Resampling is an intensive computer statistical method, which can be used effectively in the case of small…

Applications · Statistics 2013-05-14 Maxim Fioshin

Self-adaptive software is considered as the most advanced approach and its development attracts a lot of attention. Decentralization is an effective way to design and manage the complexity of modern self-adaptive software systems. However,…

Software Engineering · Computer Science 2018-01-01 Nianyu Li , Di Bai , Zhuoqun Yang , Wenpin Jiao

Across many domains of science, stochastic models are an essential tool to understand the mechanisms underlying empirically observed data. Models can be of different levels of detail and accuracy, with models of high-fidelity (i.e., high…

Scenario-based testing using simulations is a cornerstone of Autonomous Vehicles (AVs) software validation. So far, developers needed to choose between low-fidelity 2D simulators to explore the scenario space efficiently, and high-fidelity…

Robotics · Computer Science 2025-05-21 Marc Kaufeld , Korbinian Moller , Alessio Gambi , Paolo Arcaini , Johannes Betz