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In real-world robotics applications, accurate models of robot dynamics are critical for safe and stable control in rapidly changing operational conditions. This motivates the use of machine learning techniques to approximate robot dynamics…

Robotics · Computer Science 2022-01-13 Thai Duong , Nikolay Atanasov

We present a versatile latent representation that enables physically simulated character to efficiently utilize motion priors. To build a powerful motion embedding that is shared across multiple tasks, the physics controller should employ…

Graphics · Computer Science 2025-03-18 Jinseok Bae , Jungdam Won , Donggeun Lim , Inwoo Hwang , Young Min Kim

This work introduces a new framework integrating port-Hamiltonian systems (PHS) and neural network architectures. This framework bridges the gap between deterministic and stochastic modeling of complex dynamical systems. We introduce new…

Mathematical Physics · Physics 2025-09-09 Luca Di Persio , Matthias Ehrhardt , Youness Outaleb , Sofia Rizzotto

We develop the geometrical, analytical, and computational framework for reactive island theory for three degrees-of-freedom time-independent Hamiltonian systems. In this setting, the dynamics occurs in a 5-dimensional energy surface in…

Chaotic Dynamics · Physics 2021-07-14 Vladimír Krajňák , Víctor J. García-Garrido , Stephen Wiggins

Transient stability is crucial to the reliable operation of power systems. Existing theories rely on the simplified electromechanical models, substituting the detailed electromagnetic dynamics of inductor and capacitor with their impedance…

Systems and Control · Electrical Eng. & Systems 2025-02-17 Xinyuan Jiang , Constantino M. Lagoa , Yan Li

This paper presents a systematic observer design methodology for a class of port-Hamiltonian (pH) systems with state-dependent input matrices. Such systems can model a wide range of electromechanical systems, including magnetic levitation…

Optimization and Control · Mathematics 2026-04-06 Filippo Ugolini , Ning Liu , Yongxin Wu , Yann Le Gorrec , Alessandro Macchelli

The discretization approximation method commonly used to simulate the dynamics of quantum system coupled to the environment in continuum often suffers from the periodically partial recovery of initial state because of the effect of finite…

Quantum Physics · Physics 2025-05-07 H. T. Cui , Y. A. Yan , M. Qin , X. X. Yi

World models enable agents to predict future dynamics conditioned on actions, making the choice of latent representation central to planning and control. Such representations are often either learned directly from pixels with limited…

Artificial Intelligence · Computer Science 2026-05-26 Minghao Fu , Fan Feng , Nicklas Hansen , Biwei Huang

We extend the port-Hamiltonian framework defined with respect to a Lagrangian submanifold and a Dirac structure by augmenting the Lagrangian submanifold with the space of external variables. The new pair of conjugated variables is called…

Optimization and Control · Mathematics 2024-05-03 Kaja Krhac , Bernhard Maschke , Arjan van der Schaft

Adaptive structures are equipped with sensors and actuators to actively counteract external loads such as wind. This can significantly reduce resource consumption and emissions during the life cycle compared to conventional structures. A…

Systems and Control · Electrical Eng. & Systems 2023-12-11 Manuel Schaller , Amelie Zeller , Michael Böhm , Oliver Sawodny , Cristina Tarín , Karl Worthmann

We employ a port-Hamiltonian approach to model nonlinear rigid multibody systems subject to both position and velocity constraints. Our formulation accommodates Cartesian and redundant coordinates, respectively, and captures kinematic as…

Dynamical Systems · Mathematics 2025-04-25 Thomas Berger , René Hochdahl , Timo Reis , Robert Seifried

Learning predictive world models from visual observations is a core problem in embodied AI, with applications to model-based reinforcement learning and robotic planning. Existing latent world models typically generate future states with…

Machine Learning · Computer Science 2026-05-12 Qixin Xiao , Maani Ghaffari

Stability of power networks is an increasingly important topic because of the high penetration of renewable distributed generation units. This requires the development of advanced (typically model-based) techniques for the analysis and…

Systems and Control · Computer Science 2018-09-14 T. W. Stegink , C. De Persis , A. J. van der Schaft

Cosmological field-level inference requires differentiable forward models that solve the challenging dynamics of gas and dark matter under hydrodynamics and gravity. We propose a hybrid approach where gravitational forces are computed using…

Cosmology and Nongalactic Astrophysics · Physics 2025-10-31 Arne Thomsen , Tilman Tröster , François Lanusse

We present a novel method for guaranteeing linear momentum in learned physics simulations. Unlike existing methods, we enforce conservation of momentum with a hard constraint, which we realize via antisymmetrical continuous convolutional…

Machine Learning · Computer Science 2022-11-03 Lukas Prantl , Benjamin Ummenhofer , Vladlen Koltun , Nils Thuerey

For a general class of nonlinear port-Hamiltonian systems we develop a high-order time discretization scheme with certain structure preservation properties. The finite or infinite-dimensional system under consideration possesses a…

Numerical Analysis · Mathematics 2024-07-23 Jan Giesselmann , Attila Karsai , Tabea Tscherpel

Many experimental techniques aim at determining the Hamiltonian of a given system. The Hamiltonian describes the system's evolution in the absence of dissipation, and is often central to control or interpret an experiment. Here, we…

Mesoscale and Nanoscale Physics · Physics 2025-01-08 Vincent Dumont , Markus Bestler , Letizia Catalini , Gabriel Margiani , Oded Zilberberg , Alexander Eichler

In this paper we present a novel approach to the geometric formulation of solid and fluid mechanics within the port-Hamiltonian framework, which extends the standard Hamiltonian formulation to non-conservative and open dynamical systems.…

Mathematical Physics · Physics 2024-04-19 Ramy Rashad , Stefano Stramigioli

Applying reinforcement learning (RL) to real-world applications requires addressing a trade-off between asymptotic performance, sample efficiency, and inference time. In this work, we demonstrate how to address this triple challenge by…

Machine Learning · Computer Science 2024-07-03 Zakariae El Asri , Olivier Sigaud , Nicolas Thome

Energy-based predictive world models provide a powerful approach for multi-step visual planning by reasoning over latent energy landscapes rather than generating pixels. However, existing approaches face two major challenges: (i) their…

Computer Vision and Pattern Recognition · Computer Science 2026-05-19 Zeyu Zhang , Danning Li , Ian Reid , Richard Hartley
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