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Finding the most likely path to a set of failure states is important to the analysis of safety-critical systems that operate over a sequence of time steps, such as aircraft collision avoidance systems and autonomous cars. In many…

Artificial Intelligence · Computer Science 2020-12-07 Ritchie Lee , Ole J. Mengshoel , Anshu Saksena , Ryan Gardner , Daniel Genin , Joshua Silbermann , Michael Owen , Mykel J. Kochenderfer

We address the issue of how to identify the equations of a largely unknown chaotic system from knowledge about its state evolution. The technique can be applied to the estimation of parameters that drift slowly with time. To accomplish…

Disordered Systems and Neural Networks · Physics 2009-09-17 Francesco Sorrentino , Edward Ott

The low frequency variability of the extratropical atmosphere involves hemispheric-scale recurring, often persistent, states known as teleconnection patterns or regimes, which can have profound impact on predictability on intra-seasonal and…

Atmospheric and Oceanic Physics · Physics 2024-01-31 Dmitry Mukhin , Abdel Hannachi , Tobias Braun , Norbert Marwan

This paper presents a novel machine-learning framework for reconstructing low-order gust-encounter flow field and lift coefficients from sparse, noisy surface pressure measurements. Our study thoroughly investigates the time-varying…

Machine Learning · Computer Science 2025-06-25 Hanieh Mousavi , Jeff D. Eldredge

Modern weather forecast models perform uncertainty quantification using ensemble prediction systems, which collect nonparametric statistics based on multiple perturbed simulations. To provide accurate estimation, dozens of such…

Machine Learning · Computer Science 2019-12-06 Peter Grönquist , Tal Ben-Nun , Nikoli Dryden , Peter Dueben , Luca Lavarini , Shigang Li , Torsten Hoefler

Airfoil shape optimization plays a critical role in the design of high-performance aircraft. However, the high-dimensional nature of airfoil representation causes the challenging problem known as the "curse of dimensionality". To overcome…

Machine Learning · Computer Science 2023-11-21 Yu-Eop Kang , Dawoon Lee , Kwanjung Yee

Physical dynamic networks most commonly consist of interconnections of physical components that can be described by diffusive couplings. These diffusive couplings imply that the cause-effect relationships in the interconnections are…

Systems and Control · Electrical Eng. & Systems 2026-04-17 E. M. M. , Kivits , Paul M. J. Van den Hof

Coupled problems with various combinations of multiple physics, scales, and domains can be found in numerous areas of science and engineering. A key challenge in the formulation and implementation of corresponding coupled models is to…

Analysis of PDEs · Mathematics 2012-07-05 Maarten Arnst , Roger Ghanem , Eric Phipps , John Red-Horse

Designing provably safe control is a core problem in trustworthy autonomy. However, most prior work in this regard assumes either that the system dynamics are known or deterministic, or that the state and action space are finite,…

Robotics · Computer Science 2026-02-04 Xinhang Ma , Junlin Wu , Yiannis Kantaros , Yevgeniy Vorobeychik

Methods based on polynomial chaos expansion allow to approximate the behavior of systems with uncertain parameters by deterministic dynamics. These methods are used in a wide range of applications, spanning from simulation of uncertain…

Systems and Control · Computer Science 2017-11-28 Tillmann Mühlpfordt , Rolf Findeisen , Veit Hagenmeyer , Timm Faulwasser

This paper considers coordination of platoons of connected and autonomous vehicles (CAVs) at mixed-autonomy bottlenecks in the face of three practically important factors, viz. time-varying traffic demand, random CAV platoon sizes, and…

Systems and Control · Electrical Eng. & Systems 2025-11-11 Yi Gao , Xi Xiong , Karl H. Johansson , Li Jin

We present a provably safe sampling-based motion planning algorithm for robotic systems affected by random disturbances of unknown distribution. We consider systems with linear or linearizable dynamics evolving in workspace with…

Robotics · Computer Science 2026-05-27 Ibon Gracia , Qi Heng Ho , Luca Laurenti , Morteza Lahijanian

I present a data-driven predictive modeling tool that is applicable to high-dimensional chaotic systems with unstable periodic orbits. The basic idea is using deep neural networks to learn coordinate transformations between the trajectories…

Adaptation and Self-Organizing Systems · Physics 2023-12-11 Nazmi Burak Budanur

Representing and quantifying uncertainty in physical parameterisations is a central challenge in weather and climate modelling, and approaches are often developed separately for different timescales. Here, we introduce a unified framework…

Atmospheric and Oceanic Physics · Physics 2025-12-01 Laura A. Mansfield , Hannah M. Christensen

Understanding how conflict events spread over time and space is crucial for predicting and mitigating future violence. However, progress in this area has been limited by the lack of methods capable of capturing the intricate, dynamic…

Applications · Statistics 2026-04-24 Thomas Schincariol

An aircraft conflict occurs when two or more aircraft cross at a certain distance at the same time. Specific air traffic controllers are assigned to solve such conflicts. A controller needs to consider various types of information in order…

Machine Learning · Computer Science 2022-12-27 Md Siddiqur Rahman , Laurent Lapasset , Josiane Mothe

This paper presents a method for probabilistic wind power forecasting that quantifies and integrates uncertainties from weather forecasts and weather-to-power conversion. By addressing both uncertainty sources, the method achieves…

Applications · Statistics 2025-02-18 Gabriel Dantas , Jethro Browell

Reliable detection and classification of power system events are critical for maintaining grid stability and situational awareness. Existing approaches often depend on limited labeled datasets, which restricts their ability to generalize to…

Signal Processing · Electrical Eng. & Systems 2026-05-22 Yi Hu , Zheyuan Cheng

We propose an open loop methodology based on sample statistics to solve chance constrained stochastic optimal control problems with probabilistic safety guarantees for linear systems where the additive Gaussian noise has unknown mean and…

Systems and Control · Electrical Eng. & Systems 2023-03-24 Shawn Priore , Meeko Oishi

In this paper, we consider discrete-time non-linear stochastic dynamical systems with additive process noise in which both the initial state and noise distributions are uncertain. Our goal is to quantify how the uncertainty in these…

Systems and Control · Electrical Eng. & Systems 2025-05-19 Steven Adams , Eduardo Figueiredo , Luca Laurenti
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