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Uncertainty quantification methods are required in autonomous systems that include deep learning (DL) components to assess the confidence of their estimations. However, to successfully deploy DL components in safety-critical autonomous…

Robotics · Computer Science 2021-11-02 Fabio Arnez , Huascar Espinoza , Ansgar Radermacher , François Terrier

Reliable prediction of large chaotic sytems in the short to middle time range is of interest in a number of fields, including climate, ecology, seismology, and economics. In this paper, results from chaos theory, and statistical theory are…

Applications · Statistics 2013-12-17 M. LuValle

Uncertainty quantification in aerodynamic simulations calls for efficient numerical methods since it is computationally expensive, especially for the uncertainties caused by random geometry variations which involve a large number of…

Numerical Analysis · Mathematics 2016-12-30 Dishi Liu , Alexander Litvinenko , Claudia Schillings , Volker Schulz

As the share of renewables in the grid increases, the operation of power systems becomes more challenging. The present paper proposes a method to formulate and solve chance-constrained optimal power flow while explicitly considering the…

Systems and Control · Computer Science 2019-04-04 T. Mühlpfordt , L. Roald , V. Hagenmeyer , T. Faulwasser , S. Misra

Lyophilization, aka freeze drying, is a process commonly used to increase the stability of various drug products in biotherapeutics manufacturing, e.g., mRNA vaccines, allowing for higher storage temperature. While the current trends in the…

Computational Engineering, Finance, and Science · Computer Science 2025-02-20 Prakitr Srisuma , George Barbastathis , Richard D. Braatz

A surrogate model approximates a computationally expensive solver. Polynomial Chaos is a method to construct surrogate models by summing combinations of carefully chosen polynomials. The polynomials are chosen to respect the probability…

Numerical Analysis · Mathematics 2017-06-29 Thomas A. McCourt , Brodie Lawson , Fengde Zhou , Bevan Thompson , Stephen Tyson , Diane Donovan

Developing a generalized aerodynamics prediction machine learning model for finite wings with different airfoil sections is challenging due to the vast parameter space and a relative scarcity of available data. This paper presents the Large…

Fluid Dynamics · Physics 2025-08-19 Howon Lee , Pranay Seshadri , Juergen Rauleder

Weather and climate forecasts are inherently uncertain due to chaotic dynamics, imperfect initial conditions, and incomplete representation of the underlying physical processes. Operational ensemble forecasts aim to represent these…

Machine Learning · Computer Science 2026-05-26 Birgit Kühbacher , Daan Crommelin , Niki Kilbertus

This paper studies the formation mission design problem for commercial aircraft in the presence of uncertainties. Specifically, it considers uncertainties in the departure times of the aircraft and in the fuel burn savings for the trailing…

Optimization and Control · Mathematics 2024-07-03 María Cerezo-Magaña , Alberto Olivares , Ernesto Staffetti

Aircraft taxiing conflict is a threat to the safety of airport operations, mainly due to the human error in control command infor-mation. In order to solve the problem, The aircraft taxiing deduction and conflict early warning method based…

Systems and Control · Electrical Eng. & Systems 2022-11-07 Jingchang Zhuge , Huiyuan Liang , Yiming Zhang , Shichao Li , Xinyu Yang , Jun Wu

Nowadays, huge efforts are made to modernize the air traffic management systems to cope with uncertainty, complexity and sub-optimality. An answer is to enhance the information sharing between the stakeholders. This paper introduces a…

Artificial Intelligence · Computer Science 2012-12-18 Areski Hadjaz , Gaétan Marceau , Pierre Savéant , Marc Schoenauer

Future airports are becoming more complex and congested with the increasing number of travellers. While the airports are more likely to become hotspots for potential conflicts to break out which can cause serious delays to flights and…

Computer Vision and Pattern Recognition · Computer Science 2025-07-23 Karan Kheta , Claire Delgove , Ruolin Liu , Adeola Aderogba , Marc-Olivier Pokam , Muhammed Mehmet Unal , Yang Xing , Weisi Guo

In this paper, we address the problem of uncertainty propagation through nonlinear stochastic dynamical systems. More precisely, given a discrete-time continuous-state probabilistic nonlinear dynamical system, we aim at finding the sequence…

Systems and Control · Electrical Eng. & Systems 2021-02-01 Ashkan Jasour , Allen Wang , Brian C. Williams

Current approaches to expert systems' reasoning under uncertainty fail to capture the iterative revision process characteristic of intelligent human reasoning. This paper reports on a system, called the Non-monotonic Probabilist, or NMP…

Artificial Intelligence · Computer Science 2013-04-12 Kathryn Blackmond Laskey , Marvin S. Cohen

Path planning in the multi-robot system refers to calculating a set of actions for each robot, which will move each robot to its goal without conflicting with other robots. Lately, the research topic has received significant attention for…

Robotics · Computer Science 2022-12-02 Jingchuan Chen , Wei Chen , Jing Li , Xiguang Wei , Wenzhe Tan , Zuo-Jun Max Shen , Hongbo Li

This paper studies a data-driven predictive control for a class of control-affine systems which is subject to uncertainty. With the accessibility to finite sample measurements of the uncertain variables, we aim to find controls which are…

Optimization and Control · Mathematics 2021-05-03 Dan Li , Dariush Fooladivanda , Sonia Martinez

For a chaotic system pairs of initially close-by trajectories become eventually fully uncorrelated on the attracting set. This process of decorrelation may split into an initial exponential decrease, characterized by the maximal Lyapunov…

Chaotic Dynamics · Physics 2017-04-26 Hendrik Wernecke , Bulcsú Sándor , Claudius Gros

Operating unmanned aerial vehicles (UAVs) in complex environments that feature dynamic obstacles and external disturbances poses significant challenges, primarily due to the inherent uncertainty in such scenarios. Additionally, inaccurate…

Robotics · Computer Science 2023-09-29 Tianyu Liu , Fu Zhang , Fei Gao , Jia Pan

The midlatitude climate and weather are shaped by storms, yet the factors governing their predictability remain insufficiently understood. Here, we use a Convolutional Neural Network (CNN) to predict and quantify uncertainty in the…

Atmospheric and Oceanic Physics · Physics 2025-10-30 Wuqiushi Yao , Or Hadas , Yohai Kaspi

Uncertainty quantification (UQ) techniques are frequently used to ascertain output variability in systems with parametric uncertainty. Traditional algorithms for UQ are either system-agnostic and slow (such as Monte Carlo) or fast with…

Computation · Statistics 2015-03-19 Tuhin Sahai , Jose Miguel Pasini