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The study of the Two-Body and Circular Restricted Three-Body Problems in the field of aerospace engineering and sciences is deeply important because they help describe the motion of both celestial and artificial satellites. With the growing…

Mathematical Physics · Physics 2025-04-17 George Nehma , Madhur Tiwari , Manasvi Lingam

Over the last few years, several works have proposed deep learning architectures to learn dynamical systems from observation data with no or little knowledge of the underlying physics. A line of work relies on learning representations where…

Machine Learning · Computer Science 2023-03-14 Anthony Frion , Lucas Drumetz , Mauro Dalla Mura , Guillaume Tochon , Abdeldjalil Aissa El Bey

The challenge of teaching robots to perform dexterous manipulation, dynamic locomotion, or whole--body manipulation from a small number of demonstrations is an important research field that has attracted interest from across the robotics…

Robotics · Computer Science 2023-12-07 Tyler Han , Carl Glen Henshaw

Nonlinear dynamical systems with input delays pose significant challenges for prediction, estimation, and control due to their inherent complexity and the impact of delays on system behavior. Traditional linear control techniques often fail…

Systems and Control · Electrical Eng. & Systems 2025-11-07 Patrik Valábek , Marek Wadinger , Michal Kvasnica , Martin Klaučo

3D Human Motion Indexing and Retrieval is an interesting problem due to the rise of several data-driven applications aimed at analyzing and/or re-utilizing 3D human skeletal data, such as data-driven animation, analysis of sports…

Computer Vision and Pattern Recognition · Computer Science 2019-12-11 Neeraj Battan , Abbhinav Venkat , Avinash Sharma

Koopman operator theory shows how nonlinear dynamical systems can be represented as an infinite-dimensional, linear operator acting on a Hilbert space of observables of the system. However, determining the relevant modes and eigenvalues of…

Machine Learning · Computer Science 2022-04-06 Daniel J. Alford-Lago , Christopher W. Curtis , Alexander T. Ihler , Opal Issan

Autonomous driving technologies have received notable attention in the past decades. In autonomous driving systems, identifying a precise dynamical model for motion control is nontrivial due to the strong nonlinearity and uncertainty in…

Systems and Control · Electrical Eng. & Systems 2023-08-11 Yongqian Xiao , Xinglong Zhang , Xin Xu , Xueqing Liu , Jiahang Liu

In general, biometry-based control systems may not rely on individual expected behavior or cooperation to operate appropriately. Instead, such systems should be aware of malicious procedures for unauthorized access attempts. Some works…

Gait recognition is a biometric technology that recognizes the identity of humans through their walking patterns. Compared with other biometric technologies, gait recognition is more difficult to disguise and can be applied to the condition…

Computer Vision and Pattern Recognition · Computer Science 2023-03-28 Ming Wang , Xianda Guo , Beibei Lin , Tian Yang , Zheng Zhu , Lincheng Li , Shunli Zhang , Xin Yu

In recent years, there has been renewed interest in developing methods for skeleton-based human action recognition. A skeleton sequence can be naturally represented as a high-order tensor time series. In this paper, we model and analyze…

Computer Vision and Pattern Recognition · Computer Science 2017-01-17 Wenwen Ding , Kai Liu

We present a low-rank Koopman operator formulation for accelerating deformable subspace simulation. Using a Dynamic Mode Decomposition (DMD) parameterization of the Koopman operator, our method learns the temporal evolution of deformable…

Graphics · Computer Science 2026-02-10 Yue Chang , Peter Yichen Chen , Eitan Grinspun , Maurizio M. Chiaramonte

The Koopman operator has recently garnered much attention for its value in dynamical systems analysis and data-driven model discovery. However, its application has been hindered by the computational complexity of extended dynamic mode…

Machine Learning · Computer Science 2017-12-11 Enoch Yeung , Soumya Kundu , Nathan Hodas

Data-driven approximations of the Koopman operator are promising for predicting the time evolution of systems characterized by complex dynamics. Among these methods, the approach known as extended dynamic mode decomposition with dictionary…

Machine Learning · Computer Science 2024-03-19 C. Ricardo Constante-Amores , Alec J. Linot , Michael D. Graham

We tackle the problem of tracking the human lower body as an initial step toward an automatic motion assessment system for clinical mobility evaluation, using a multimodal system that combines Inertial Measurement Unit (IMU) data, RGB…

Computer Vision and Pattern Recognition · Computer Science 2022-11-08 Marc Mitjans , David M. Levine , Louis N. Awad , Roberto Tron

Koopman operator theory has emerged as a powerful tool for system identification, particularly for approximating nonlinear time-invariant systems (NTIS). This paper considers a network of agents with limited observation capabilities that…

Systems and Control · Electrical Eng. & Systems 2025-10-06 Wenjian Hao , Lili Wang , Ayush Rai , Shaoshuai Mou

Gait recognition is an important biometric for human identification at a distance, particularly under low-resolution or unconstrained environments. Current works typically focus on either 2D representations (e.g., silhouettes and skeletons)…

Computer Vision and Pattern Recognition · Computer Science 2026-04-23 Zhao-Yang Wang , Zhimin Shao , Anirudh Nanduri , Basudha Pal , Laura McDaniel , Jieneng Chen , Rama Chellappa

Gait recognition is emerging as a promising and innovative area within the field of computer vision, widely applied to remote person identification. Although existing gait recognition methods have achieved substantial success in controlled…

Computer Vision and Pattern Recognition · Computer Science 2025-08-19 Zhengxian Wu , Chuanrui Zhang , Hangrui Xu , Peng Jiao , Haoqian Wang

Recently, Koopman operator theory has become a powerful tool for developing linear representations of non-linear dynamical systems. However, existing data-driven applications of Koopman operator theory, including both traditional and deep…

Machine Learning · Computer Science 2023-05-17 King Fai Yeh , Paris Flood , William Redman , Pietro Liò

In this paper, we introduce a novel approach to centroidal state estimation, which plays a crucial role in predictive model-based control strategies for dynamic legged locomotion. Our approach uses the Koopman operator theory to transform…

Robotics · Computer Science 2024-10-08 Shahram Khorshidi , Murad Dawood , Maren Bennewitz

Dynamic Mode Decomposition (DMD) and its variants, such as extended DMD (EDMD), are broadly used to fit simple linear models to dynamical systems known from observable data. As DMD methods work well in several situations but perform poorly…

Dynamical Systems · Mathematics 2024-08-06 George Haller , Bálint Kaszás
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