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A major challenge in the study of dynamical systems is that of model discovery: turning data into models that are not just predictive, but provide insight into the nature of the underlying dynamical system that generated the data. This…

动力系统 · 数学 2019-04-19 Kathleen Champion , Steven L. Brunton , J. Nathan Kutz

Autonomous agents are limited in their ability to observe the world state. Partially observable Markov decision processes (POMDPs) formally model the problem of planning under world state uncertainty, but POMDPs with continuous actions and…

机器人学 · 计算机科学 2020-07-08 Dicong Qiu , Yibiao Zhao , Chris L. Baker

We propose two novel data-driven dynamic mode decomposition (DMD)-type methods, the Crank--Nicolson DMD and the semi-implicit DMD, to predict the highly oscillatory dynamics of the semiclassical Schr\"odinger equations efficiently and…

数值分析 · 数学 2026-03-31 Yizhe Feng , Weiguo Gao , Jia Yin

We establish the convergence of a class of numerical algorithms, known as Dynamic Mode Decomposition (DMD), for computation of the eigenvalues and eigenfunctions of the infinite-dimensional Koopman operator. The algorithms act on data…

动力系统 · 数学 2017-11-21 Hassan Arbabi , Igor Mezić

Accurate and efficient aeroelastic models are critically important for enabling the optimization and control of highly flexible aerospace structures, which are expected to become pervasive in future transportation and energy systems.…

流体动力学 · 物理学 2021-04-28 Nicola Fonzi , Steven L. Brunton , Urban Fasel

Environmental pollution and fossil fuel depletion have prompted the need for renewable energy-based power generation. However, its stability is often challenged by low energy density and non-stationary conditions. Wave energy converters…

机器学习 · 计算机科学 2025-01-07 Dongeon Lee , Sunwoong Yang , Jae-Won Oh , Su-Gil Cho , Sanghyuk Kim , Namwoo Kang

We develop and analyze high-order ensemble schemes for the unsteady Navier--Stokes--Darcy system with uncertain initial conditions, forcing terms, hydraulic conductivity tensors, and Lions-Beavers-Joseph-Saffman interface conditions. The…

数值分析 · 数学 2026-05-25 Wei-Wei Han , Fukeng Huang , Changxin Qiu

This work develops compressive sampling strategies for computing the dynamic mode decomposition (DMD) from heavily subsampled or output-projected data. The resulting DMD eigenvalues are equal to DMD eigenvalues from the full-state data. It…

动力系统 · 数学 2013-12-19 Steven L. Brunton , Joshua L. Proctor , J. Nathan Kutz

We introduce the Rigged Dynamic Mode Decomposition (Rigged DMD) algorithm, which computes generalized eigenfunction decompositions of Koopman operators. By considering the evolution of observables, Koopman operators transform complex…

动力系统 · 数学 2024-12-04 Matthew J. Colbrook , Catherine Drysdale , Andrew Horning

Dynamic Mode Decomposition (DMD) describes complex dynamic processes through a hierarchy of simpler coherent features. DMD is regularly used to understand the fundamental characteristics of turbulence and is closely related to Koopman…

流体动力学 · 物理学 2023-02-01 Matthew J. Colbrook , Lorna J. Ayton , Máté Szőke

Time-delay embeddings and dimensionality reduction are powerful techniques for discovering effective coordinate systems to represent the dynamics of physical systems. Recently, it has been shown that models identified by dynamic mode…

In this two-part article, we evaluate the utility and the generalizability of the Dynamic Mode Decomposition (DMD) algorithm for data-driven analysis and reduced-order modelling of plasma dynamics in cross-field ExB configurations. The DMD…

等离子体物理 · 物理学 2023-08-29 Farbod Faraji , Maryam Reza , Aaron Knoll , J. Nathan Kutz

Data-driven learning is rapidly evolving and places a new perspective on realizing state-space dynamical systems. However, dynamical systems derived from nonlinear ordinary differential equations (ODEs) suffer from limitations in…

机器学习 · 计算机科学 2025-07-29 Hansaka Aluvihare , Levi Lingsch , Xianqi Li , Sirani M. Perera

Lithium-ion batteries exhibit nonlinear voltage dynamics across varying operating conditions and aging states, making accurate modeling essential for estimation, control, and health monitoring. This work compares two data-driven frameworks…

系统与控制 · 电气工程与系统科学 2026-05-05 Khalid Mahmud Labib , Inayat Rasool , Shabbir Ahmed

We present an operations-ready multi-model ensemble weather forecasting system which uses hybrid data-driven weather prediction models coupled with the European Centre for Medium-range Weather Forecasts (ECMWF) ocean model to predict global…

大气与海洋物理 · 物理学 2024-03-26 Jonathan A. Weyn , Divya Kumar , Jeremy Berman , Najeeb Kazmi , Sylwester Klocek , Pete Luferenko , Kit Thambiratnam

Though larger vessels may be well-equipped to deal with wavy conditions, smaller vessels are often more susceptible to disturbances. This paper explores the development of a nonlinear model predictive control (NMPC) system for Uncrewed…

机器人学 · 计算机科学 2024-08-29 Daniel L. Jenkins , Joshua A. Marshall

This paper presents a manifold based Unscented Kalman Filter that applies a novel strategy for inertial, model-aiding and Acoustic Doppler Current Profiler (ADCP) measurement incorporation. The filter is capable of observing and utilizing…

机器人学 · 计算机科学 2018-11-28 Sascha Arnold , Lashika Medagoda

The first thermospheric neutral mass density model with robust and reliable uncertainty estimates is developed based on the SET HASDM density database. This database, created by Space Environment Technologies (SET), contains 20 years of…

机器学习 · 计算机科学 2021-09-17 Richard J. Licata , Piyush M. Mehta , W. Kent Tobiska , S. Huzurbazar

In the present study, we performed a 53-year wave hindcast (1970-2022) for a significant portion of the South China Sea (SCS) with an unstructured mesh that reaches considerably high resolution along the coasts of the Guangdong province…

大气与海洋物理 · 物理学 2025-07-03 Tiziano Bagnasco , Alessandro Stocchino , Michalis I. Vousdoukas , Jinghua Wang

Vessel Monitoring System (VMS) data provide information about speed and position of fishing vessels. This opens the door to methods of estimating and mapping fishing effort with a high level of detail. To addess this task, we propose a new…