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Online map generation and trajectory prediction are critical components of the autonomous driving perception-prediction-planning pipeline. While modern vectorized mapping models achieve high geometric accuracy, they typically treat map…

Robotics · Computer Science 2026-03-23 Pritom Gogoi , Faris Janjoš , Bin Yang , Andreas Look

The analysis of nonlinear dynamical systems based on the Koopman operator is attracting attention in various applications. Dynamic mode decomposition (DMD) is a data-driven algorithm for Koopman spectral analysis, and several variants with…

Dynamical Systems · Mathematics 2017-10-31 Naoya Takeishi , Yoshinobu Kawahara , Takehisa Yairi

In this work we present an advanced computational pipeline for the approximation and prediction of the lift coefficient of a parametrized airfoil profile. The non-intrusive reduced order method is based on dynamic mode decomposition (DMD)…

Numerical Analysis · Mathematics 2020-11-23 Marco Tezzele , Nicola Demo , Giovanni Stabile , Andrea Mola , Gianluigi Rozza

This paper proposes a gray-box stability analysis mechanism based on data-driven dynamic mode decomposition (DMD) for commercial grid-tied power electronics converters with limited information on its control parameters and topology. By…

Systems and Control · Electrical Eng. & Systems 2024-04-16 Rui Kong , Subham Sahoo , Yubo Song , Frede Blaabjerg

Chaotic dynamics, commonly seen in weather systems and fluid turbulence, are characterized by their sensitivity to initial conditions, which makes accurate prediction challenging. Recent approaches have focused on developing data-driven…

Systems and Control · Electrical Eng. & Systems 2025-12-16 Sunbochen Tang , Themistoklis Sapsis , Navid Azizan

Accurately predicting interactive road agents' future trajectories and planning a socially compliant and human-like trajectory accordingly are important for autonomous vehicles. In this paper, we propose a planning-centric prediction neural…

Robotics · Computer Science 2022-11-14 Jiawei Sun , Chengran Yuan , Shuo Sun , Zhiyang Liu , Terence Goh , Anthony Wong , Keng Peng Tee , Marcelo H. Ang

This paper develops a data-driven safe control framework for linear systems possessing a known strict-feedback structure, but with most plant parameters, external disturbances, and input delay being unknown. By leveraging Koopman operator…

Systems and Control · Electrical Eng. & Systems 2026-02-10 Zhenxu Zhao , Ji Wang , Weiyao Lan

Predicting individual mobility patterns is crucial across various applications. While current methods mainly focus on predicting the next location for personalized services like recommendations, they often fall short in supporting broader…

Artificial Intelligence · Computer Science 2025-08-20 Zongyuan Huang , Weipeng Wang , Shaoyu Huang , Marta C. Gonzalez , Yaohui Jin , Yanyan Xu

Despite significant analysis of bird flight, generative physics models for flight dynamics do not currently exist. Yet the underlying mechanisms responsible for various flight manoeuvres are important for understanding how agile flight can…

Quantitative Methods · Quantitative Biology 2026-02-24 Lydia France , Karl Lapo , J. Nathan Kutz

This paper explores the prediction of the dynamics of piecewise smooth maps using various deep learning models. We have shown various novel ways of predicting the dynamics of piecewise smooth maps using deep learning models. Moreover, we…

Machine Learning · Computer Science 2024-06-26 Vismaya V S , Bharath V Nair , Sishu Shankar Muni

This paper presents a data-driven localization framework with high precision in time-varying complex multipath environments, such as dense urban areas and indoors, where GPS and model-based localization techniques come short. We consider…

Computer Vision and Pattern Recognition · Computer Science 2021-01-25 Farzam Hejazi , Katarina Vuckovic , Nazanin Rahnavard

This paper proposes a probabilistic motion prediction method for long motions. The motion is predicted so that it accomplishes a task from the initial state observed in the given image. While our method evaluates the task achievability by…

Computer Vision and Pattern Recognition · Computer Science 2024-03-08 Takeru Oba , Norimichi Ukita

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…

Numerical Analysis · Mathematics 2026-03-31 Yizhe Feng , Weiguo Gao , Jia Yin

Dynamic mode decomposition (DMD) has emerged as a popular data-driven modeling approach to identifying spatio-temporal coherent structures in dynamical systems, owing to its strong relation with the Koopman operator. For dynamical systems…

Signal Processing · Electrical Eng. & Systems 2021-10-26 Manu Krishnan , Serkan Gugercin , Pablo A. Tarazaga

This article presents the data-driven equation-free modeling of the dynamics of a hexafloat floating offshore wind turbine based on the application of dynamic mode decomposition (DMD). All the analyses are performed on experimental data…

Machine Learning · Computer Science 2025-02-18 Giorgio Palma , Andrea Bardazzi , Alessia Lucarelli , Chiara Pilloton , Andrea Serani , Claudio Lugni , Matteo Diez

We consider the problem of optimal trajectory tracking for unknown systems. A novel data-enabled predictive control (DeePC) algorithm is presented that computes optimal and safe control policies using real-time feedback driving the unknown…

Optimization and Control · Mathematics 2019-03-19 Jeremy Coulson , John Lygeros , Florian Dörfler

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

Spacecraft are vital to space exploration and are often equipped with lightweight, flexible appendages to meet strict weight constraints. These appendages pose significant challenges for modeling and control due to their inherent…

Systems and Control · Electrical Eng. & Systems 2025-02-14 Huanqing Wang , Kaixiang Zhang , Amin Vahidi-Moghaddam , Haowei An , Nan Li , Daning Huang , Zhaojian Li

As the peak of the solar cycle approaches in 2025 and the ability of a single geomagnetic storm to significantly alter the orbit of Resident Space Objects (RSOs), techniques for atmospheric density forecasting are vital for space…

Atmospheric and Oceanic Physics · Physics 2023-10-27 Julia Briden , Peng Mun Siew , Victor Rodriguez-Fernandez , Richard Linares

We derive, and discuss the properties of, a symplectic map for the dynamics of bodies on nearly parabolic orbits. The orbits are perturbed by a planet on a circular, coplanar orbit interior to the pericenter of the parabolic orbit. The map…

Earth and Planetary Astrophysics · Physics 2023-09-06 Sam Hadden , Scott Tremaine