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We consider a sequential decision making problem where the agent faces the environment characterized by the stochastic discrete events and seeks an optimal intervention policy such that its long-term reward is maximized. This problem exists…

Machine Learning · Computer Science 2022-12-29 Chao Qu , Xiaoyu Tan , Siqiao Xue , Xiaoming Shi , James Zhang , Hongyuan Mei

The advent of easy access to large amount of data has sparked interest in directly developing the relationships between input and output of dynamic systems. A challenge is that in addition to the applied input and the measured output, the…

Systems and Control · Electrical Eng. & Systems 2022-07-05 Leon Yan , Santosh Devasia

Dyna-style model-based reinforcement learning contains two phases: model rollouts to generate sample for policy learning and real environment exploration using current policy for dynamics model learning. However, due to the complex…

Machine Learning · Computer Science 2024-01-02 Xiyao Wang , Ruijie Zheng , Yanchao Sun , Ruonan Jia , Wichayaporn Wongkamjan , Huazhe Xu , Furong Huang

We consider planning problems, that often arise in autonomous driving applications, in which an agent should decide on immediate actions so as to optimize a long term objective. For example, when a car tries to merge in a roundabout it…

Machine Learning · Computer Science 2016-02-05 Shai Shalev-Shwartz , Nir Ben-Zrihem , Aviad Cohen , Amnon Shashua

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

Learned dynamics models combined with both planning and policy learning algorithms have shown promise in enabling artificial agents to learn to perform many diverse tasks with limited supervision. However, one of the fundamental challenges…

Machine Learning · Computer Science 2020-08-12 Suraj Nair , Silvio Savarese , Chelsea Finn

Externally driven dense packings of particles can exhibit nonlinear wave phenomena that are not described by effective medium theory or linearized approximate models. Such nontrivial wave responses can be exploited to design…

Soft Condensed Matter · Physics 2024-11-26 Atoosa Parsa , James Bagrow , Corey S. O'Hern , Rebecca Kramer-Bottiglio , Josh Bongard

By incorporating physical consistency as inductive bias, deep neural networks display increased generalization capabilities and data efficiency in learning nonlinear dynamic models. However, the complexity of these models generally…

Machine Learning · Computer Science 2025-03-03 Katharina Friedl , Noémie Jaquier , Jens Lundell , Tamim Asfour , Danica Kragic

Predicting the outcomes of cyber-physical systems with multiple human interactions is a challenging problem. This article reviews a game theoretical approach to address this issue, where reinforcement learning is employed to predict the…

Multiagent Systems · Computer Science 2019-10-14 Mert Albaba , Yildiray Yildiz

In recent years, the success of the Koopman operator in dynamical systems analysis has also fueled the development of Koopman operator-based control frameworks. In order to preserve the relatively low data requirements for an approximation…

Optimization and Control · Mathematics 2020-10-15 Sebastian Peitz , Samuel E. Otto , Clarence W. Rowley

The Koopman framework proposes a linear representation of finite-dimensional nonlinear systems through a generally infinite-dimensional globally linear embedding. Originally, the Koopman formalism has been derived for autonomous systems. In…

Systems and Control · Electrical Eng. & Systems 2025-07-15 Lucian Cristian Iacob , Roland Tóth , Maarten Schoukens

We use Koopman theory for data-driven model reduction of nonlinear dynamical systems with controls. We propose generic model structures combining delay-coordinate encoding of measurements and full-state decoding to integrate reduced Koopman…

Systems and Control · Electrical Eng. & Systems 2024-01-10 Jan C. Schulze , Alexander Mitsos

Real-world robotic manipulation tasks remain an elusive challenge, since they involve both fine-grained environment interaction, as well as the ability to plan for long-horizon goals. Although deep reinforcement learning (RL) methods have…

Machine Learning · Computer Science 2023-03-20 Núria Armengol Urpí , Marco Bagatella , Otmar Hilliges , Georg Martius , Stelian Coros

The Koopman operator provides a powerful framework for modeling dynamical systems and has attracted growing interest from the machine learning community. However, its infinite-dimensional nature makes identifying suitable finite-dimensional…

Machine Learning · Computer Science 2026-02-05 Xiaoyuan Cheng , Wenxuan Yuan , Yiming Yang , Yuanzhao Zhang , Sibo Cheng , Yi He , Zhuo Sun

This paper presents a novel Koopman operator formulation for Euler Lagrangian dynamics that employs an implicit generalized momentum-based state space representation, which decouples a known linear actuation channel from state dependent…

Robotics · Computer Science 2026-03-02 Rajpal Singh , Aditya Singh , Chidre Shravista Kashyap , Jishnu Keshavan

Online optimal control of quadruped robots would enable them to adapt to varying inputs and changing conditions in real time. A common way of achieving this is linear model predictive control (LMPC), where a quadratic programming (QP)…

Robotics · Computer Science 2025-08-13 Chun-Ming Yang , Pranav A. Bhounsule

Data-driven approximations of the Koopman operator are promising for predicting the time evolution of systems characterized by complex dynamics. Among these methods, the approach known as extended dynamic mode decomposition with dictionary…

Machine Learning · Computer Science 2024-03-19 C. Ricardo Constante-Amores , Alec J. Linot , Michael D. Graham

Learning task-agnostic dynamics models in high-dimensional observation spaces can be challenging for model-based RL agents. We propose a novel way to learn latent world models by learning to predict sequences of future actions conditioned…

Machine Learning · Computer Science 2020-12-07 Keiran Paster , Sheila A. McIlraith , Jimmy Ba

We present a novel approach for learning nonlinear dynamic models, which leads to a new set of tools capable of solving problems that are otherwise difficult. We provide theory showing this new approach is consistent for models with long…

Artificial Intelligence · Computer Science 2009-06-03 John Langford , Ruslan Salakhutdinov , Tong Zhang

Agent-based models (ABMs) provide an intuitive and powerful framework for studying social dynamics by modeling the interactions of individuals from the perspective of each individual. In addition to simulating and forecasting the dynamics…

Dynamical Systems · Mathematics 2024-02-22 Jan-Hendrik Niemann , Stefan Klus , Nataša Djurdjevac Conrad , Christof Schütte
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