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We treat infinite horizon optimal control problems by solving the associated stationary Hamilton-Jacobi-Bellman (HJB) equation numerically to compute the value function and an optimal feedback law. The dynamical systems under consideration…

Optimization and Control · Mathematics 2021-05-19 Mathias Oster , Leon Sallandt , Reinhold Schneider

Data collection is crucial for learning robust world models in model-based reinforcement learning. The most prevalent strategies are to actively collect trajectories by interacting with the environment during online training or training on…

Machine Learning · Computer Science 2025-09-09 Jiaqi Chen , Ji Shi , Cansu Sancaktar , Jonas Frey , Georg Martius

Traffic simulators act as an essential component in the operating and planning of transportation systems. Conventional traffic simulators usually employ a calibrated physical car-following model to describe vehicles' behaviors and their…

Artificial Intelligence · Computer Science 2022-07-12 Guanjie Zheng , Hanyang Liu , Kai Xu , Zhenhui Li

Offline reinforcement learning enables sample-efficient policy acquisition without risky online interaction, yet policies trained on static datasets remain brittle under action-space perturbations such as actuator faults. This study…

Robotics · Computer Science 2026-03-02 Shingo Ayabe , Hiroshi Kera , Kazuhiko Kawamoto

One of the most natural approaches to reinforcement learning (RL) with function approximation is value iteration, which inductively generates approximations to the optimal value function by solving a sequence of regression problems. To…

Machine Learning · Computer Science 2024-06-19 Noah Golowich , Ankur Moitra

The prevalent use of benchmarks in current offline reinforcement learning (RL) research has led to a neglect of the imbalance of real-world dataset distributions in the development of models. The real-world offline RL dataset is often…

Machine Learning · Computer Science 2024-05-22 Li Jiang , Sijie Cheng , Jielin Qiu , Haoran Xu , Wai Kin Chan , Zhao Ding

Model-order reduction techniques allow the construction of low-dimensional surrogate models that can accelerate engineering design processes. Often, these techniques are intrusive, meaning that they require direct access to underlying…

Dynamical Systems · Mathematics 2023-08-16 Yevgeniya Filanova , Igor Pontes Duff , Pawan Goyal , Peter Benner

In this tutorial article, we aim to provide the reader with the conceptual tools needed to get started on research on offline reinforcement learning algorithms: reinforcement learning algorithms that utilize previously collected data,…

Machine Learning · Computer Science 2020-11-03 Sergey Levine , Aviral Kumar , George Tucker , Justin Fu

This paper addresses distributional offline continuous-time reinforcement learning (DOCTR-L) with stochastic policies for high-dimensional optimal control. A soft distributional version of the classical Hamilton-Jacobi-Bellman (HJB)…

Machine Learning · Computer Science 2021-04-05 Igor Halperin

Recent successes combine reinforcement learning algorithms and deep neural networks, despite reinforcement learning not being widely applied to robotics and real world scenarios. This can be attributed to the fact that current…

Machine Learning · Computer Science 2020-09-01 Vinicius G. Goecks

We consider a new family of operators for reinforcement learning with the goal of alleviating the negative effects and becoming more robust to approximation or estimation errors. Various theoretical results are established, which include…

Machine Learning · Statistics 2019-05-29 Yingdong Lu , Mark S. Squillante , Chai Wah Wu

An autonomous and resilient controller is proposed for leader-follower multi-agent systems under uncertainties and cyber-physical attacks. The leader is assumed non-autonomous with a nonzero control input, which allows changing the team…

Multiagent Systems · Computer Science 2018-04-10 Rohollah Moghadam , Hamidreza Modares

We consider the problem of learning useful robotic skills from previously collected offline data without access to manually specified rewards or additional online exploration, a setting that is becoming increasingly important for scaling…

We propose a decentralized online learning algorithm for distributed random inverse problems over network graphs with online measurements, and unifies the distributed parameter estimation in Hilbert spaces and the least mean square problem…

Machine Learning · Computer Science 2026-04-09 Xiwei Zhang , Tao Li , Yan Chen , Qianyuan Long

In this paper, an off-policy reinforcement learning algorithm is designed to solve the continuous-time LQR problem using only input-state data measured from the system. Different from other algorithms in the literature, we propose the use…

Systems and Control · Electrical Eng. & Systems 2023-04-03 Victor G. Lopez , Matthias A. Müller

Offline reinforcement learning, which seeks to utilize offline/historical data to optimize sequential decision-making strategies, has gained surging prominence in recent studies. Due to the advantage that appropriate function approximators…

Machine Learning · Computer Science 2022-03-14 Ming Yin , Yaqi Duan , Mengdi Wang , Yu-Xiang Wang

This paper considers a stochastic linear quadratic problem for discrete-time systems with multiplicative noises over an infinite horizon. To obtain the optimal solution, we propose an online iterative algorithm of reinforcement learning…

Optimization and Control · Mathematics 2023-11-22 Hongdan Li , Lucky Qiaofeng Li , Xun Li , Zhaorong Zhang

Reinforcement learning works best when the impact of the agent's actions on its environment can be perfectly simulated or fully appraised from available data. Some systems are however both hard to simulate and very sensitive to small…

Trading and Market Microstructure · Quantitative Finance 2025-01-30 Vincent Ragel , Damien Challet

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

We study a class of dynamical systems modelled as Markov chains that admit an invariant distribution via the corresponding transfer, or Koopman, operator. While data-driven algorithms to reconstruct such operators are well known, their…

Machine Learning · Computer Science 2022-12-14 Vladimir Kostic , Pietro Novelli , Andreas Maurer , Carlo Ciliberto , Lorenzo Rosasco , Massimiliano Pontil