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Koopman spectral theory has provided a new perspective in the field of dynamical systems in recent years. Modern dynamical systems are becoming increasingly non-linear and complex, and there is a need for a framework to model these systems…

Machine Learning · Computer Science 2021-09-07 Alexander Krolicki , Pierre-Yves Lavertu

Koopman operator has been recognized as an ongoing data-driven modeling method for vehicle dynamics which lifts the original state space into a high-dimensional linear state space. The deep neural networks (DNNs) are verified to be useful…

Systems and Control · Electrical Eng. & Systems 2025-04-01 Jianhua Zhang , Yansong He , Hao Chen

This paper presents a sequence of two approaches for the data-driven control-oriented modeling of networked systems, i.e., the systems that involve many interacting dynamical components. First, a novel deep learning approach named the weak…

Systems and Control · Electrical Eng. & Systems 2024-07-25 Yin Yu , Daning Huang , Seho Park , Herschel C. Pangborn

Most current gait recognition methods suffer from poor interpretability and high computational cost. To improve interpretability, we investigate gait features in the embedding space based on Koopman operator theory. The transition matrix in…

Computer Vision and Pattern Recognition · Computer Science 2023-09-28 Fan Li , Dong Liang , Jing Lian , Qidong Liu , Hegui Zhu , Jizhao Liu

Gait recognition, which identifies individuals based on their walking patterns, is an important biometric technique since it can be observed from a distance and does not require the subject's cooperation. Recognizing a person's gait is…

Computer Vision and Pattern Recognition · Computer Science 2022-12-20 Haidong Zhu , Zhaoheng Zheng , Ram Nevatia

Approaches based on Koopman operators have shown great promise in forecasting time series data generated by complex nonlinear dynamical systems (NLDS). Although such approaches are able to capture the latent state representation of a NLDS,…

Machine Learning · Computer Science 2024-10-01 Ashutosh Singh , Ashish Singh , Tales Imbiriba , Deniz Erdogmus , Ricardo Borsoi

We develop a new generalization of Koopman operator theory that incorporates the effects of inputs and control. Koopman spectral analysis is a theoretical tool for the analysis of nonlinear dynamical systems. Moreover, Koopman is intimately…

Optimization and Control · Mathematics 2016-02-25 Joshua L. Proctor , Steven L. Brunton , J. Nathan Kutz

We propose a deep videorealistic 3D human character model displaying highly realistic shape, motion, and dynamic appearance learned in a new weakly supervised way from multi-view imagery. In contrast to previous work, our controllable 3D…

Computer Vision and Pattern Recognition · Computer Science 2021-09-01 Marc Habermann , Lingjie Liu , Weipeng Xu , Michael Zollhoefer , Gerard Pons-Moll , Christian Theobalt

This paper presents a data-driven approach to approximate the dynamics of a nonlinear time-varying system (NTVS) by a linear time-varying system (LTVS), which is resulted from the Koopman operator and deep neural networks. Analysis of the…

Systems and Control · Electrical Eng. & Systems 2026-03-16 Wenjian Hao , Bowen Huang , Wei Pan , Di Wu , Shaoshuai Mou

With the advancement of sensing and communication in power networks, high-frequency real-time data from a power network can be used as a resource to develop better monitoring capabilities. In this work, a systematic approach based on…

Systems and Control · Electrical Eng. & Systems 2020-03-12 Subhrajit Sinha , Sai Pushpak Nandanoori , Enoch Yeung

Koopman operators linearize nonlinear dynamical systems, making their spectral information of crucial interest. Numerous algorithms have been developed to approximate these spectral properties, and Dynamic Mode Decomposition (DMD) stands…

Dynamical Systems · Mathematics 2023-11-13 Matthew J. Colbrook , Qin Li , Ryan V. Raut , Alex Townsend

Long-Term Person Re-Identification (LT-ReID) has become increasingly crucial in computer vision and biometrics. In this work, we aim to extend LT-ReID beyond pedestrian recognition to include a wider range of real-world human activities…

Computer Vision and Pattern Recognition · Computer Science 2023-09-22 Feng Liu , Minchul Kim , ZiAng Gu , Anil Jain , Xiaoming Liu

Wearable technology for the automatic detection of gait events has recently gained growing interest, enabling advanced analyses that were previously limited to specialist centres and equipment (e.g., instrumented walkway). In this study, we…

Signal Processing · Electrical Eng. & Systems 2020-09-01 Matteo Gadaleta , Giulia Cisotto , Michele Rossi , Rana Zia Ur Rehman , Lynn Rochester , Silvia Del Din

This study aimed to explore the application of deep neural networks for whole-body human posture prediction during dynamic load-reaching activities. Two time-series models were trained using bidirectional long short-term memory (BLSTM) and…

Computer Vision and Pattern Recognition · Computer Science 2025-11-26 Seyede Niloofar Hosseini , Ali Mojibi , Mahdi Mohseni , Navid Arjmand , Alireza Taheri

Learning complex trajectories from demonstrations in robotic tasks has been effectively addressed through the utilization of Dynamical Systems (DS). State-of-the-art DS learning methods ensure stability of the generated trajectories;…

Robotics · Computer Science 2024-12-10 Andreas Sochopoulos , Michael Gienger , Sethu Vijayakumar

The Koopman operator provides a principled framework for analyzing nonlinear dynamical systems through linear operator theory. Recent advances in dynamic mode decomposition (DMD) have shown that trajectory data can be used to identify…

Machine Learning · Computer Science 2026-01-21 Minchan Jeong , J. Jon Ryu , Se-Young Yun , Gregory W. Wornell

We propose a novel optimization-based paradigm for 3D human model fitting on images and scans. In contrast to existing approaches that directly regress the parameters of a low-dimensional statistical body model (e.g. SMPL) from input…

Computer Vision and Pattern Recognition · Computer Science 2022-07-21 Enric Corona , Gerard Pons-Moll , Guillem Alenyà , Francesc Moreno-Noguer

Koopman operator theory has emerged as a leading data-driven approach that relies on a judicious choice of observable functions to realize global linear representations of nonlinear systems in the lifted observable space. However,…

Robotics · Computer Science 2026-01-06 Aditya Singh , Rajpal Singh , Jishnu Keshavan

Koopman operator theory, a powerful framework for discovering the underlying dynamics of nonlinear dynamical systems, was recently shown to be intimately connected with neural network training. In this work, we take the first steps in…

Neural and Evolutionary Computing · Computer Science 2021-10-08 Akshunna S. Dogra , William T Redman

Gait recognition is a promising biometric with unique properties for identifying individuals from a long distance by their walking patterns. In recent years, most gait recognition methods used the person's silhouette to extract the gait…

Computer Vision and Pattern Recognition · Computer Science 2022-04-19 Torben Teepe , Johannes Gilg , Fabian Herzog , Stefan Hörmann , Gerhard Rigoll