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Linear reduced-order modeling (ROM) is widely used for efficient simulation of deformation dynamics, but its accuracy is often limited by the fixed linearization of the reduced mapping. We propose a new adaptive strategy for linear ROM that…

Graphics · Computer Science 2025-10-01 Yutian Tao , Maurizio Chiaramonte , Pablo Fernandez

Reinforcement learning has been applied to a wide variety of robotics problems, but most of such applications involve collecting data from scratch for each new task. Since the amount of robot data we can collect for any single task is…

Machine Learning · Computer Science 2020-10-28 Avi Singh , Albert Yu , Jonathan Yang , Jesse Zhang , Aviral Kumar , Sergey Levine

Koopman liftings have been successfully used to learn high dimensional linear approximations for autonomous systems for prediction purposes, or for control systems for leveraging linear control techniques to control nonlinear dynamics. In…

Systems and Control · Electrical Eng. & Systems 2023-06-16 Haldun Balim , Antoine Aspeel , Zexiang Liu , Necmiye Ozay

As the demand for mobile robots continues to increase, social navigation has emerged as a critical task, driving active research into deep reinforcement learning (RL) approaches. However, because pedestrian dynamics and social conventions…

Robotics · Computer Science 2026-04-10 Haruto Nagahisa , Kohei Matsumoto , Yuki Tomita , Yuki Hyodo , Ryo Kurazume

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

Analyzing the spectral properties of the Koopman operator is crucial for understanding and predicting the behavior of complex stochastic dynamical systems. However, the accuracy of data-driven estimation methods, such as Extended Dynamic…

Dynamical Systems · Mathematics 2025-09-08 Yuanchao Xu , Jing Liu , Zhongwei Shen , Isao Ishikawa

We consider the Imitation Learning (IL) setup where expert data are not collected on the actual deployment environment but on a different version. To address the resulting distribution shift, we combine behavior cloning (BC) with a planner…

We present a new technique to enhance the robustness of imitation learning methods by generating corrective data to account for compounding errors and disturbances. While existing methods rely on interactive expert labeling, additional…

Robotics · Computer Science 2024-06-05 Liyiming Ke , Yunchu Zhang , Abhay Deshpande , Siddhartha Srinivasa , Abhishek Gupta

In this paper, we consider the design of data-driven predictive controllers for nonlinear systems from input-output data via linear-in-control input Koopman lifted models. Instead of identifying and simulating a Koopman model to predict…

Optimization and Control · Mathematics 2024-05-03 Thomas de Jong , Valentina Breschi , Maarten Schoukens , Mircea Lazar

In data-driven modelling of complex dynamic processes, it is often desirable to combine different classes of models to enhance performance. Examples include coupled models of different fidelities, or hybrid models based on physical…

Dynamical Systems · Mathematics 2024-12-10 Shiqi Wu , Ludovic Chamoin , Qianxiao Li

This paper presents a study of the Koopman operator theory and its application to optimal control of a multi-robot system. The Koopman operator, while operating on a set of observation functions of the state vector of a nonlinear system,…

Systems and Control · Electrical Eng. & Systems 2023-05-09 Gang Tao , Qianhong Zhao

Reinforcement Learning (RL) is notoriously data-inefficient, which makes training on a real robot difficult. While model-based RL algorithms (world models) improve data-efficiency to some extent, they still require hours or days of…

Machine Learning · Computer Science 2023-10-25 Yunhai Feng , Nicklas Hansen , Ziyan Xiong , Chandramouli Rajagopalan , Xiaolong Wang

Applying reinforcement learning to robotic systems poses a number of challenging problems. A key requirement is the ability to handle continuous state and action spaces while remaining within a limited time and resource budget.…

Machine Learning · Computer Science 2020-06-29 Benjamin van Niekerk , Andreas Damianou , Benjamin Rosman

When applying imitation learning techniques to fit a policy from expert demonstrations, one can take advantage of prior stability/robustness assumptions on the expert's policy and incorporate such control-theoretic prior knowledge…

Optimization and Control · Mathematics 2021-03-25 Aaron Havens , Bin Hu

Offline imitation learning enables learning a policy solely from a set of expert demonstrations, without any environment interaction. To alleviate the issue of distribution shift arising due to the small amount of expert data, recent works…

Machine Learning · Computer Science 2025-05-23 Udita Ghosh , Dripta S. Raychaudhuri , Jiachen Li , Konstantinos Karydis , Amit K. Roy-Chowdhury

The learning inefficiency of reinforcement learning (RL) from scratch hinders its practical application towards continuous robotic tracking control, especially for high-dimensional robots. This work proposes a data-informed residual…

Systems and Control · Electrical Eng. & Systems 2024-06-10 Cong Li , Fangzhou Liu , Yongchao Wang , Martin Buss

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

Model-based offline optimization with dynamics-aware policy provides a new perspective for policy learning and out-of-distribution generalization, where the learned policy could adapt to different dynamics enumerated at the training stage.…

Machine Learning · Computer Science 2022-06-09 Chengxing Jia , Hao Yin , Chenxiao Gao , Tian Xu , Lei Yuan , Zongzhang Zhang , Yang Yu

Behavior cloning of expert demonstrations can speed up learning optimal policies in a more sample-efficient way over reinforcement learning. However, the policy cannot extrapolate well to unseen states outside of the demonstration data,…

Machine Learning · Computer Science 2022-10-19 Jung Yeon Park , Lawson L. S. Wong

Nonlinear Negative Imaginary (NI) systems arise in various engineering applications, such as controlling flexible structures and air vehicles. However, unlike linear NI systems, their theory is not well-developed. In this paper, we propose…

Optimization and Control · Mathematics 2023-05-09 M. A. Mabrok , Ilyasse Aksikas , Nader Meskin