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Model-based offline Reinforcement Learning (RL) constructs environment models from offline datasets to perform conservative policy optimization. Existing approaches focus on learning state transitions through ensemble models, rollouting…

Machine Learning · Computer Science 2025-03-27 Hongye Cao , Fan Feng , Jing Huo , Shangdong Yang , Meng Fang , Tianpei Yang , Yang Gao

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

Most modern reinforcement learning algorithms optimize a cumulative single-step cost along a trajectory. The optimized motions are often 'unnatural', representing, for example, behaviors with sudden accelerations that waste energy and lack…

Machine Learning · Computer Science 2024-07-03 Motoya Ohnishi , Isao Ishikawa , Kendall Lowrey , Masahiro Ikeda , Sham Kakade , Yoshinobu Kawahara

Large-scale dynamic inverse problems are often ill-posed due to model complexity and the high dimensionality of the unknown parameters. Regularization is commonly employed to mitigate ill-posedness by incorporating prior information and…

Numerical Analysis · Mathematics 2026-01-21 Aryeh Keating , Mirjeta Pasha

We propose a fully data-driven, Koopman-based framework for statistically robust control of discrete-time nonlinear systems with linear embeddings. Establishing a connection between the Koopman operator and contraction theory, it offers…

Robotics · Computer Science 2026-03-24 Koki Hirano , Hiroyasu Tsukamoto

Imitation learning (IL) aims to enable robots to perform tasks autonomously by observing a few human demonstrations. Recently, a variant of IL, called In-Context IL, utilized off-the-shelf large language models (LLMs) as instant policies…

Robotics · Computer Science 2025-06-19 Hanbit Oh , Andrea M. Salcedo-Vázquez , Ixchel G. Ramirez-Alpizar , Yukiyasu Domae

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

Despite impressive dexterous manipulation capabilities enabled by learning-based approaches, we are yet to witness widespread adoption beyond well-resourced laboratories. This is likely due to practical limitations, such as significant…

Robotics · Computer Science 2023-09-01 Yunhai Han , Mandy Xie , Ye Zhao , Harish Ravichandar

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

Koopman operator theory has found significant success in learning models of complex, real-world dynamical systems, enabling prediction and control. The greater interpretability and lower computational costs of these models, compared to…

Dynamical Systems · Mathematics 2025-01-08 William T. Redman , Dean Huang , Maria Fonoberova , Igor Mezić

Controlling nonlinear dynamical systems remains a central challenge in a wide range of applications, particularly when accurate first-principle models are unavailable. Data-driven approaches offer a promising alternative by designing…

Systems and Control · Electrical Eng. & Systems 2025-12-23 Robin Strässer , Karl Worthmann , Igor Mezić , Julian Berberich , Manuel Schaller , Frank Allgöwer

Koopman-based modeling and model predictive control have been a promising alternative for optimal control of nonlinear processes. Good Koopman modeling performance significantly depends on an appropriate nonlinear mapping from the original…

Systems and Control · Electrical Eng. & Systems 2024-08-06 Zhaoyang Li , Minghao Han , Dat-Nguyen Vo , Xunyuan Yin

Recent advancements in robot learning have used imitation learning with large models and extensive demonstrations to develop effective policies. However, these models are often limited by the quantity, quality, and diversity of…

Robotics · Computer Science 2024-12-19 Xiu Yuan , Tongzhou Mu , Stone Tao , Yunhao Fang , Mengke Zhang , Hao Su

The fusion between an inertial navigation system and global navigation satellite systems is regularly used in many platforms such as drones, land vehicles, and marine vessels. The fusion is commonly carried out in a model-based extended…

Systems and Control · Electrical Eng. & Systems 2022-09-05 Barak Or , Itzik Klein

Koopman analysis provides a general framework from which to analyze a nonlinear dynamical system in terms of a linear operator acting on an infinite-dimensional observable space. This theoretical framework provides a rigorous underpinning…

Dynamical Systems · Mathematics 2022-10-11 Dan Wilson

Analyzing the long-term behavior of high-dimensional nonlinear dynamical systems remains a significant challenge. While the Koopman operator framework provides a powerful global linearization tool, current methods for approximating its…

Machine Learning · Computer Science 2025-05-28 Yuanchao Xu , Kaidi Shao , Nikos Logothetis , Zhongwei Shen

Offline reinforcement learning (RL) provides a promising direction to exploit massive amount of offline data for complex decision-making tasks. Due to the distribution shift issue, current offline RL algorithms are generally designed to be…

Machine Learning · Computer Science 2022-10-25 Rui Yang , Chenjia Bai , Xiaoteng Ma , Zhaoran Wang , Chongjie Zhang , Lei Han

We propose a novel offline reinforcement learning (offline RL) approach, introducing the Diffusion-model-guided Implicit Q-learning with Adaptive Revaluation (DIAR) framework. We address two key challenges in offline RL: out-of-distribution…

Machine Learning · Computer Science 2024-10-16 Jaehyun Park , Yunho Kim , Sejin Kim , Byung-Jun Lee , Sundong Kim

Imitation Learning (IL) is an important paradigm within the broader reinforcement learning (RL) methodology. Unlike most of RL, it does not assume availability of reward-feedback. Reward inference and shaping are known to be difficult and…

Machine Learning · Computer Science 2023-08-25 Rishabh Agrawal , Nathan Dahlin , Rahul Jain , Ashutosh Nayyar

This paper proposes an Online Control-Informed Learning (OCIL) framework, which employs the well-established optimal control and state estimation techniques in the field of control to solve a broad class of learning tasks in an online…

Optimization and Control · Mathematics 2025-03-12 Zihao Liang , Tianyu Zhou , Zehui Lu , Shaoshuai Mou