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This paper presents a Long Short-Term Memory network-based Fluid Experiment Data-Driven model (FED-LSTM) for predicting unsteady, nonlinear hydrodynamic forces on the underwater quadruped robot we constructed. Trained on experimental data…

Robotics · Computer Science 2025-09-05 Fei Han , Pengming Guo , Hao Chen , Weikun Li , Jingbo Ren , Naijun Liu , Ning Yang , Dixia Fan

This work focuses the deployment of tethered space robot in the presence of unknown uncertainty. A data-enable framework called DEKC which contains offline training part and online execution part is proposed to deploy tethered space robot…

Systems and Control · Electrical Eng. & Systems 2025-06-11 Ao Jin , Qinyi Wang , Sijie Wen , Ya Liu , Ganghui Shen , Panfeng Huang , Fan Zhang

This paper presents two novel ensemble domain decomposition methods for fast-solving the Stokes-Darcy coupled models with random hydraulic conductivity and body force. To address such random systems, we employ the Monte Carlo (MC) method to…

Numerical Analysis · Mathematics 2024-08-13 Chunchi Liu , Yao Rong , Yizhong Sun , Jiaping Yu , Haibiao Zheng

Dynamic mode decomposition (DMD) is a data-driven method that models high-dimensional time series as a sum of spatiotemporal modes, where the temporal modes are constrained by linear dynamics. For nonlinear dynamical systems exhibiting…

Dynamical Systems · Mathematics 2019-06-17 Seth M. Hirsh , Kameron Decker Harris , J. Nathan Kutz , Bingni W. Brunton

This work presents, to the best of the authors' knowledge, the first generalizable and fully data-driven adaptive framework designed to stabilize deep learning (DL) autoregressive forecasting models over long time horizons, with the goal of…

Fluid Dynamics · Physics 2025-05-06 Rodrigo Abadía-Heredia , Manuel Lopez-Martin , Soledad Le Clainche

Delay-coordinates dynamic mode decomposition (DC-DMD) is widely used to extract coherent spatiotemporal modes from high-dimensional time series. A central challenge is distinguishing dynamically meaningful modes from spurious modes induced…

Signal Processing · Electrical Eng. & Systems 2026-03-17 Yoav Harris , Hadas Benisty , Ronen Talmon

In this paper we provide clear direct evidence of multiple concurrent higher order magnetohydrodynamic (MHD) modes in circular and elliptical sunspots by applying both Proper Orthogonal Decomposition (POD) and Dynamic Mode Decomposition…

Solar and Stellar Astrophysics · Physics 2022-04-06 A. B. Albidah , V. Fedun , A. A. Aldhafeeri , I. Ballai , W. Brevis , D. B. Jess , J. Higham , M. Stangalini , S. S. A. Silva , G. Verth

This paper presents a deep learning based model predictive control (MPC) algorithm for systems with unmatched and bounded state-action dependent uncertainties of unknown structure. We utilize a deep neural network (DNN) as an oracle in the…

Machine Learning · Computer Science 2023-04-25 Mateus V. Gasparino , Prabhat K. Mishra , Girish Chowdhary

Maritime transportation is the backbone of global trade, making ship inspection essential for ensuring maritime safety and environmental protection. Port State Control (PSC), conducted by national ports, enforces compliance with safety…

Artificial Intelligence · Computer Science 2025-05-27 Jiongchao Jin , Xiuju Fu , Xiaowei Gao , Tao Cheng , Ran Yan

Floating offshore structures often exhibit low-frequency oscillatory motions in the horizontal plane, with amplitudes in the same order as their characteristic dimensions and larger than the corresponding wave-frequency responses, making…

Fluid Dynamics · Physics 2021-10-07 Yanlin Shao , Zhiping Zheng , Hui Liang , Jikang Chen

This paper discusses the application of Dynamic Mode Decomposition (DMD) to the extraction of modal properties of linear mechanical systems, i.e., experimental modal analysis (EMA). First, theoretical background of the DMD is briefly…

Dynamical Systems · Mathematics 2026-03-17 Akira Saito , Tomohiro Kuno

Accurate predictions of ship trajectories in crowded environments are essential to ensure safety in inland waterways traffic. Recent advances in deep learning promise increased accuracy even for complex scenarios. While the challenge of…

Machine Learning · Computer Science 2026-03-06 Tom Legel , Dirk Söffker , Roland Schätzle , Kathrin Donandt

Dynamic Mode Decomposition (DMD) is a data based modeling tool that identifies a matrix to map a quantity at some time instant to the same quantity in future. We design a new version which we call Adaptive Dynamic Mode Decomposition (ADMD)…

Signal Processing · Electrical Eng. & Systems 2020-12-16 Mohammad N. Murshed , M. Monir Uddin

Extended dynamic mode decomposition (EDMD) is a popular data-driven method to predict the action of the Koopman operator, i.e., the evolution of an observable function along the flow of a dynamical system. In this paper, we leverage a…

Optimization and Control · Mathematics 2025-03-17 Lea Bold , Manuel Schaller , Irene Schimperna , Karl Worthmann

This paper develops the first decentralized online Riemannian optimization algorithm on Hadamard manifolds. Our algorithm, the decentralized projected Riemannian gradient descent, iteratively performs local updates using projected…

Optimization and Control · Mathematics 2024-10-08 Hengchao Chen , Qiang Sun

The Dynamic Mode Decomposition (DMD) is a tool of trade in computational data driven analysis of fluid flows. More generally, it is a computational device for Koopman spectral analysis of nonlinear dynamical systems, with a plethora of…

Numerical Analysis · Mathematics 2017-08-10 Zlatko Drmač , Igor Mezić , Ryan Mohr

Reliable inference of system degradation from sensor data is fundamental to condition monitoring and prognostics in mechanical and infrastructural systems. Since degradation is rarely directly observable and measurable, it must be inferred…

Machine Learning · Computer Science 2026-03-13 Mengjie Zhao , Olga Fink

Automating complex industrial robots requires precise nonlinear control and efficient energy management. This paper introduces a data-driven nonlinear model predictive control (NMPC) framework to optimize control under multiple objectives.…

Robotics · Computer Science 2024-11-22 Dexian Ma , Bo Zhou

Delay embedding is a commonly employed technique in a wide range of data-driven model reduction methods for dynamical systems, including the Dynamic mode decomposition (DMD), the Hankel alternative view of the Koopman decomposition (HAVOK),…

Dynamical Systems · Mathematics 2023-01-12 Joar Axås , George Haller

Dynamic mode decomposition (DMD) gives a practical means of extracting dynamic information from data, in the form of spatial modes and their associated frequencies and growth/decay rates. DMD can be considered as a numerical approximation…

Dynamical Systems · Mathematics 2017-10-03 Hao Zhang , Scott T. M. Dawson , Clarence W. Rowley , Eric A. Deem , Louis N. Cattafesta