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Identifying governing equations from data is a critical step in the modeling and control of complex dynamical systems. Here, we investigate the data-driven identification of nonlinear dynamical systems with inputs and forcing using…

Dynamical Systems · Mathematics 2016-05-24 Steven L. Brunton , Joshua L. Proctor , J. Nathan Kutz

This paper addresses the problem of single image depth estimation (SIDE), focusing on improving the quality of deep neural network predictions. In a supervised learning scenario, the quality of predictions is intrinsically related to the…

Computer Vision and Pattern Recognition · Computer Science 2020-02-10 Nícolas Rosa , Vitor Guizilini , Valdir Grassi

With the development of aerospace technology, the increasing population of space debris has posed a great threat to the safety of spacecraft. However, the low intensity of reflected light and high angular velocity of space debris impede the…

Computer Vision and Pattern Recognition · Computer Science 2023-09-25 Zherui Lu , Gangyi Wang , Xinguo Wei , Jian Li

We propose a fast probabilistic framework for identifying differential equations governing the dynamics of observed data. We recast the SINDy method within a Bayesian framework and use Gaussian approximations for the prior and likelihood to…

Methodology · Statistics 2024-09-24 Lloyd Fung , Urban Fasel , Matthew P. Juniper

In this paper, we introduce a delay-aware largesmall model collaboration scheme for low Earth orbit (LEO) satellite networks, which can balance the computational load among satellites and the communication load across inter-satellite links.…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-05-07 Mingyu Guo , Wen Wu , Ying Wang , Songge Zhang , Liang Li

Sparse identification of nonlinear dynamics (SINDy) has been widely used to discover the governing equations of a dynamical system from data. It uses sparse regression techniques to identify parsimonious models of unknown systems from a…

Methodology · Statistics 2026-04-07 Kairui Ding

This paper investigates joint device identification, channel estimation, and signal detection for LEO satellite-enabled grant-free random access, where a multiple-input multipleoutput (MIMO) system with orthogonal time-frequency space…

Information Theory · Computer Science 2023-08-08 Boxiao Shen , Yongpeng Wu , Wenjun Zhang , Symeon Chatzinotas , Björn Ottersten

Sparse Identification of Nonlinear Dynamical Systems (SINDy) is a powerful tool for the data-driven discovery of governing equations. However, it encounters challenges when modeling complex dynamical systems involving high-order derivatives…

Dynamical Systems · Mathematics 2024-11-05 Haoyang Zheng , Guang Lin

SINDy is a method for learning system of differential equations from data by solving a sparse linear regression optimization problem [Brunton et al., 2016]. In this article, we propose an extension of the SINDy method that learns systems of…

Recent advances in the field of data-driven dynamics allow for the discovery of ODE systems using state measurements. One approach, known as Sparse Identification of Nonlinear Dynamics (SINDy), assumes the dynamics are sparse within a…

Dynamical Systems · Mathematics 2023-06-14 Jacqueline Wentz , Alireza Doostan

This paper deals with the error processing problem of sparse identification of nonlinear dynamical systems(SINDy) through introducing the $L_\infty$ approximation to take place of the former $L_2$ approximation. The motivation is that the…

Systems and Control · Electrical Eng. & Systems 2022-05-09 Yuqiang Wu

The SINDy algorithm has been successfully used to identify the governing equations of dynamical systems from time series data. However, SINDy assumes the user has prior knowledge of the variables in the system and of a function library that…

Machine Learning · Computer Science 2024-01-25 Andrew O'Brien

Discovery of dynamical systems from data forms the foundation for data-driven modeling and recently, structure-preserving geometric perspectives have been shown to provide improved forecasting, stability, and physical realizability…

Machine Learning · Computer Science 2021-09-14 Kookjin Lee , Nathaniel Trask , Panos Stinis

We introduce a new analytical framework, developed based on the spatial network calculus, for performance assessment of Low Earth Orbit (LEO) satellite networks. Specifically, we model the satellites' spatial positions as a strong…

Information Theory · Computer Science 2025-11-12 Yuting Tang , Yufan He , Yi Zhong , Xijun Wang , Tony Q. S. Quek , Howard H. Yang

Low Earth orbit (LEO) satellites play an essential role in intelligent Earth observation by leveraging artificial intelligence models. However, limited onboard memory and excessive inference delay prevent the practical deployment of large…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-04-07 Songge Zhang , Wen Wu , Liang Li , Ye Wang , Xuemin , Shen

In real-time and high-resolution Earth observation imagery, Low Earth Orbit (LEO) satellites capture images that are subsequently transmitted to ground to create an updated map of an area of interest. Such maps provide valuable information…

Networking and Internet Architecture · Computer Science 2023-07-18 Israel Leyva-Mayorga , Marc M. Gost , Marco Moretti , Ana Pérez-Neira , Miguel Ángel Vázquez , Petar Popovski , Beatriz Soret

Spatiotemporal data mining (STDM) has a wide range of applications in various complex physical systems (CPS), i.e., transportation, manufacturing, healthcare, etc. Among all the proposed methods, the Convolutional Long Short-Term Memory…

Machine Learning · Computer Science 2025-11-19 Junfeng Wu , Hadjer Benmeziane , Kaoutar El Maghraoui , Liu Liu , Yinan Wang

The vast majority of the orbital population today is unobservable and untracked because of their small size. These lethal non-trackable objects will only become more numerous as more payloads and debris are launched into orbit and increase…

Earth and Planetary Astrophysics · Physics 2024-08-28 Daniel Jang , Richard Linares

Low earth orbit (LEO) satellite networks are emerging as a key infrastructure for global connectivity and space-based sensing. Many tasks in such systems can be formulated as measurement-set-to-spatial-inference problems, where spatial…

Networking and Internet Architecture · Computer Science 2026-05-12 Liping Tao , Xindi Tong , Chee Wei Tan

A possible mean to stabilize the LEO debris population is to remove each year 5 heavy debris like spent satellites or launchers stages from that space region. This paper investigates the DeltaV requirement for such a Space Debris Collecting…

Systems and Control · Computer Science 2011-07-04 Max Cerf