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In recent years, imitation learning has made progress in the field of robotic manipulation. However, it still faces challenges when addressing complex long-horizon tasks with deformable objects, such as high-dimensional state spaces,…

Robotics · Computer Science 2025-03-14 Wendi Chen , Han Xue , Fangyuan Zhou , Yuan Fang , Cewu Lu

Advanced autonomous driving systems require accurate vehicle dynamics modeling. However, identifying a precise dynamics model remains challenging due to strong nonlinearities and the coupled longitudinal and lateral dynamic characteristics.…

Robotics · Computer Science 2026-03-19 Jinyu Miao , Pu Zhang , Rujun Yan , Yifei He , Bowei Zhang , Zheng Fu , Ke Wang , Qi Song , Kun Jiang , Mengmeng Yang , Diange Yang

Imitation learning powered by generative models has proven effective for modeling complex single-agent behaviors. However, teaching multi-agent systems, like multiple arms or vehicles, to coordinate through imitation learning is hindered by…

Robotics · Computer Science 2026-05-18 Lasse Peters , Laura Ferranti , Andrea Bajcsy , Javier Alonso-Mora

Learning control policies for multi-robot systems (MRS) remains a major challenge due to long-term coordination and the difficulty of obtaining realistic training data. In this work, we address both limitations within an imitation learning…

Robotics · Computer Science 2025-10-03 Jesús Roche , Eduardo Sebastián , Eduardo Montijano

Approximating model predictive control (MPC) using imitation learning (IL) allows for fast control without solving expensive optimization problems online. However, methods that use neural networks in a simple L2-regression setup fail to…

Offline decision-making via diffusion models often produces trajectories that are misaligned with system dynamics, limiting their reliability for control. We propose Model Predictive Diffuser (MPDiffuser), a compositional diffusion…

Robotics · Computer Science 2026-02-02 Haldun Balim , Na Li , Yilun Du

The Koopman operator and extended dynamic mode decomposition (EDMD) as a data-driven technique for its approximation have attracted considerable attention as a key tool for modeling, analysis, and control of complex dynamical systems.…

Systems and Control · Electrical Eng. & Systems 2025-11-07 Philipp Schmitz , Lea Bold , Friedrich M. Philipp , Mario Rosenfelder , Peter Eberhard , Henrik Ebel , Karl Worthmann

Controlling soft robots with precision is a challenge due in large part to the difficulty of constructing models that are amenable to model-based control design techniques. Koopman Operator Theory offers a way to construct explicit linear…

Robotics · Computer Science 2019-07-02 Daniel Bruder , Brent Gillespie , C. David Remy , Ram Vasudevan

The modeling of nonlinear dynamics based on Koopman operator theory, which is originally applicable only to autonomous systems with no control, is extended to non-autonomous control system without approximation to input matrix B. Prevailing…

Systems and Control · Electrical Eng. & Systems 2024-08-23 H. Harry Asada , Jose A. Solano-Castellanos

Koopman operators model nonlinear dynamics as a linear dynamic system acting on a nonlinear function as the state. This nonstandard state is often called a Koopman observable and is usually approximated numerically by a superposition of…

Systems and Control · Electrical Eng. & Systems 2022-06-29 Charles A. Johnson , Shara Balakrishnan , Enoch Yeung

Diffusion Policies have significantly advanced robotic manipulation tasks via imitation learning, but their application on resource-constrained mobile platforms remains challenging due to computational inefficiency and extensive memory…

Robotics · Computer Science 2025-08-04 Yiming Wu , Huan Wang , Zhenghao Chen , Jianxin Pang , Dong Xu

In this article, we present data-driven reduced-order modeling for nonautonomous dynamical systems in multiscale media using Koopman operators. Different from the case of autonomous dynamical systems, the Koopman operator family of…

Numerical Analysis · Mathematics 2023-01-10 Mengnan Li , Lijian Jiang

Formation control of multi-agent systems has been a prominent research topic, spanning both theoretical and practical domains over the past two decades. Our study delves into the leader-follower framework, addressing two critical,…

Robotics · Computer Science 2023-08-15 Yanran Wang , Tatsuya Baba , Takashi Hikihara

Extended Dynamic Mode Decomposition (EDMD) is a widely-used data-driven approach to learn an approximation of the Koopman operator. Consequently, it provides a powerful tool for data-driven analysis, prediction, and control of nonlinear…

Systems and Control · Electrical Eng. & Systems 2024-08-23 Yang Guo , Manuel Schaller , Karl Worthmann , Stefan Streif

Building effective imitation learning methods that enable robots to learn from limited data and still generalize across diverse real-world environments is a long-standing problem in robot learning. We propose Equibot, a robust,…

Robotics · Computer Science 2024-10-30 Jingyun Yang , Zi-ang Cao , Congyue Deng , Rika Antonova , Shuran Song , Jeannette Bohg

Koopman operator theory yields powerful tools for modeling, analysis, and control of nonlinear dynamical systems. Prominently, linear time-invariant (LTI) Koopman representations have been proposed to enable the application of linear…

Optimization and Control · Mathematics 2026-05-29 Johannes Heeg , Karl Worthmann

Learning visuomotor policy for multi-task robotic manipulation has been a long-standing challenge for the robotics community. The difficulty lies in the diversity of action space: typically, a goal can be accomplished in multiple ways,…

Robotics · Computer Science 2025-03-24 Kun Wu , Yichen Zhu , Jinming Li , Junjie Wen , Ning Liu , Zhiyuan Xu , Jian Tang

Koopman operators provide a linear framework for data-driven analyses of nonlinear dynamical systems, but their infinite-dimensional nature presents major computational challenges. In this article, we offer an introductory guide to Koopman…

Numerical Analysis · Mathematics 2025-10-28 Matthew J. Colbrook , Zlatko Drmač , Andrew Horning

There is an urgent need to build models to tackle Indoor Air Quality issue. Since the model should be accurate and fast, Reduced Order Modelling technique is used to reduce the dimensionality of the problem. The accuracy of the model, that…

Diffusion policies trained via offline behavioral cloning have recently gained traction in robotic motion generation. While effective, these policies typically require a large number of trainable parameters. This model size affords powerful…

Robotics · Computer Science 2025-04-29 Xiatao Sun , Shuo Yang , Yinxing Chen , Francis Fan , Yiyan Liang , Daniel Rakita
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