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This paper provides an approximate online adaptive solution to the infinite-horizon optimal tracking problem for control-affine continuous-time nonlinear systems with unknown drift dynamics. Model-based reinforcement learning is used to…

Systems and Control · Computer Science 2017-07-25 Rushikesh Kamalapurkar , Lindsey Andrews , Patrick Walters , Warren E. Dixon

Reinforcement Learning (RL) remains a central optimisation framework in machine learning. Although RL agents can converge to optimal solutions, the definition of ``optimality'' depends on the environment's statistical properties. The…

Machine Learning · Computer Science 2026-01-14 Bert Verbruggen , Arne Vanhoyweghen , Vincent Ginis

Model-based Deep Reinforcement Learning (RL) assumes the availability of a model of an environment's underlying transition dynamics. This model can be used to predict future effects of an agent's possible actions. When no such model is…

Machine Learning · Computer Science 2021-12-15 Andreas Sedlmeier , Michael Kölle , Robert Müller , Leo Baudrexel , Claudia Linnhoff-Popien

System representations inspired by the infinite-dimensional Koopman operator (generator) are increasingly considered for predictive modeling. Due to the operator's linearity, a range of nonlinear systems admit linear predictor…

Machine Learning · Computer Science 2022-05-31 Petar Bevanda , Max Beier , Sebastian Kerz , Armin Lederer , Stefan Sosnowski , Sandra Hirche

In the context of an increasing popularity of data-driven models to represent dynamical systems, many machine learning-based implementations of the Koopman operator have recently been proposed. However, the vast majority of those works are…

Machine Learning · Computer Science 2024-03-14 Anthony Frion , Lucas Drumetz , Guillaume Tochon , Mauro Dalla Mura , Albdeldjalil Aïssa El Bey

Soft robots are challenging to model and control as inherent non-linearities (e.g., elasticity and deformation), often requires complex explicit physics-based analytical modeling (e.g., a priori geometric definitions). While machine…

Robotics · Computer Science 2022-10-17 Naoto Komeno , Brendan Michael , Katharina Küchler , Edgar Anarossi , Takamitsu Matsubara

Accurate driver behavior modeling is essential for improving the interaction and cooperation of the human driver with the driver assistance system. This paper presents a novel approach for modeling the response of human drivers to visual…

Systems and Control · Electrical Eng. & Systems 2025-07-08 Mehmet Fatih Ozkan , Jeff Chrstos , Marcello Canova , Stephanie Stockar

Recently, many reinforcement learning techniques were shown to have provable guarantees in the simple case of linear dynamics, especially in problems like linear quadratic regulators. However, in practice, many reinforcement learning…

Machine Learning · Computer Science 2020-06-30 Abraham Frandsen , Rong Ge

Koopman spectral analysis has attracted attention for understanding nonlinear dynamical systems by which we can analyze nonlinear dynamics with a linear regime by lifting observations using a nonlinear function. For analysis, we need to…

Machine Learning · Statistics 2020-12-14 Tomoharu Iwata , Yoshinobu Kawahara

Human motion prediction is essential for the safe and smooth operation of mobile service robots and intelligent vehicles around people. Commonly used neural network-based approaches often require large amounts of complete trajectories to…

Robotics · Computer Science 2023-06-07 Yufei Zhu , Andrey Rudenko , Tomasz P. Kucner , Achim J. Lilienthal , Martin Magnusson

Exact numerical simulations of dynamics of open quantum systems often require immense computational resources. We demonstrate that a deep artificial neural network comprised of convolutional layers is a powerful tool for predicting…

Computational Physics · Physics 2020-12-22 Luis E. Herrera Rodriguez , Alexei A. Kananenka

Model-based reinforcement learning promises to learn an optimal policy from fewer interactions with the environment compared to model-free reinforcement learning by learning an intermediate model of the environment in order to predict…

Machine Learning · Computer Science 2022-06-08 Abhinav Bhatia , Philip S. Thomas , Shlomo Zilberstein

Learning-based control methods typically assume stationary system dynamics, an assumption often violated in real-world systems due to drift, wear, or changing operating conditions. We study reinforcement learning for control under…

Machine Learning · Computer Science 2026-04-03 Klemens Iten , Bruce Lee , Chenhao Li , Lenart Treven , Andreas Krause , Bhavya Sukhija

This paper describes a method for learning low-dimensional approximations of nonlinear dynamical systems, based on neural-network approximations of the underlying Koopman operator. Extended Dynamic Mode Decomposition (EDMD) provides a…

Dynamical Systems · Mathematics 2019-01-17 Samuel E. Otto , Clarence W. Rowley

The ability to plan into the future while utilizing only raw high-dimensional observations, such as images, can provide autonomous agents with broad capabilities. Visual model-based reinforcement learning (RL) methods that plan future…

Machine Learning · Computer Science 2021-08-10 Oleh Rybkin , Chuning Zhu , Anusha Nagabandi , Kostas Daniilidis , Igor Mordatch , Sergey Levine

Finding an embedding space for a linear approximation of a nonlinear dynamical system enables efficient system identification and control synthesis. The Koopman operator theory lays the foundation for identifying the nonlinear-to-linear…

Machine Learning · Computer Science 2020-04-28 Yunzhu Li , Hao He , Jiajun Wu , Dina Katabi , Antonio Torralba

Data-driven neural Koopman operator theory has emerged as a powerful tool for linearizing and controlling nonlinear robotic systems. However, the performance of these data-driven models fundamentally depends on the trade-off between sample…

Robotics · Computer Science 2026-02-24 Abulikemu Abuduweili , Yuyang Pang , Feihan Li , Changliu Liu

The performance of tracking algorithms strongly depends on the chosen model assumptions regarding the target dynamics. If there is a strong mismatch between the chosen model and the true object motion, the track quality may be poor or the…

Machine Learning · Statistics 2024-10-15 Isabel Schlangen , André Brandenburger , Mengwei Sun , James R. Hopgood

This paper addresses the problem of learning instantaneous occupancy levels of dynamic environments and predicting future occupancy levels. Due to the complexity of most real-world environments, such as urban streets or crowded areas, the…

Robotics · Computer Science 2019-12-05 Vitor Guizilini , Ransalu Senanayake , Fabio Ramos

Koopman operator theory provides a framework for nonlinear dynamical system analysis and time-series forecasting by mapping dynamics to a space of real-valued measurement functions, enabling a linear operator representation. Despite the…

Machine Learning · Computer Science 2025-06-18 Yitian Zhang , Liheng Ma , Antonios Valkanas , Boris N. Oreshkin , Mark Coates