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We describe a framework that can integrate prior physical information, e.g., the presence of kinematic constraints, to support data-driven simulation in multi-body dynamics. Unlike other approaches, e.g., Fully-connected Neural Network…

Computational Engineering, Finance, and Science · Computer Science 2024-07-12 Jingquan Wang , Shu Wang , Huzaifa Mustafa Unjhawala , Jinlong Wu , Dan Negrut

Identifying accurate dynamic models is required for the simulation and control of various technical systems. In many important real-world applications, however, the two main modeling approaches often fail to meet requirements: first…

Machine Learning · Computer Science 2021-04-19 Manuel A. Roehrl , Thomas A. Runkler , Veronika Brandtstetter , Michel Tokic , Stefan Obermayer

Mobile robots, such as ground vehicles and quadrotors, are becoming increasingly important in various fields, from logistics to agriculture, where they automate processes in environments that are difficult to access for humans. However, to…

Robotics · Computer Science 2025-10-08 Shao-Yi Yu , Jen-Wei Wang , Maya Horii , Vikas Garg , Tarek Zohdi

Accurate aircraft trajectory prediction is critical for air traffic management, airline operations, and environmental assessment. This paper introduces NODE-FDM, a Neural Ordinary Differential Equations-based Flight Dynamics Model trained…

Machine Learning · Computer Science 2025-09-30 Gabriel Jarry , Ramon Dalmau , Xavier Olive , Philippe Very

Quadrotors are extremely agile, so much in fact, that classic first-principle-models come to their limits. Aerodynamic effects, while insignificant at low speeds, become the dominant model defect during high speeds or agile maneuvers.…

Robotics · Computer Science 2022-01-19 Leonard Bauersfeld , Elia Kaufmann , Philipp Foehn , Sihao Sun , Davide Scaramuzza

Winged blimps operate across distinct aerodynamic regimes that cannot be adequately captured by a single model. At high speeds and small angles of attack, their dynamics exhibit strong coupling between lift and attitude, resembling…

Robotics · Computer Science 2026-02-26 Xiaorui Wang , Hongwu Wang , Yue Fan , Hao Cheng , Feitian Zhang

Many physical processes such as weather phenomena or fluid mechanics are governed by partial differential equations (PDEs). Modelling such dynamical systems using Neural Networks is an active research field. However, current methods are…

Machine Learning · Computer Science 2022-10-12 Andrzej Dulny , Andreas Hotho , Anna Krause

Data-driven modeling of constrained multibody dynamics remains challenged by (i) the training cost of Neural ODEs, which typically require backpropagation through an ODE solver, and (ii) error accumulation in rollout predictions. We…

Machine Learning · Computer Science 2026-03-23 Hongyu Wang , Jingquan Wang , Dan Negrut

Aerial robot solutions are becoming ubiquitous for an increasing number of tasks. Among the various types of aerial robots, blimps are very well suited to perform long-duration tasks while being energy efficient, relatively silent and safe.…

Robotics · Computer Science 2021-09-28 Yu Tang Liu , Eric Price , Pascal Goldschmid , Michael J. Black , Aamir Ahmad

Model reduction for fluid flow simulation continues to be of great interest across a number of scientific and engineering fields. In a previous work [arXiv:2104.13962], we explored the use of Neural Ordinary Differential Equations (NODE) as…

Machine Learning · Computer Science 2021-07-07 Sourav Dutta , Peter Rivera-Casillas , Orie M. Cecil , Matthew W. Farthing , Emma Perracchione , Mario Putti

Conventional physics-based modeling is a time-consuming bottleneck in control design for complex nonlinear systems like autonomous underwater vehicles (AUVs). In contrast, purely data-driven models, though convenient and quick to obtain,…

Dynamical Systems · Mathematics 2022-08-16 Wenceslao Shaw Cortez , Soumya Vasisht , Aaron Tuor , Ján Drgoňa , Draguna Vrabie

We develop a data-driven framework for learning and correcting non-autonomous vehicle dynamics. Physics-based vehicle models are often simplified for tractability and therefore exhibit inherent model-form uncertainty, motivating the need…

Machine Learning · Computer Science 2025-12-02 Nguyen Ly , Caroline Tatsuoka , Jai Nagaraj , Jacob Levy , Fernando Palafox , David Fridovich-Keil , Hannah Lu

Model-based design of experiments (MBDOE) is essential for efficient parameter estimation in nonlinear dynamical systems. However, conventional adaptive MBDOE requires costly posterior inference and design optimization between each…

Machine Learning · Statistics 2026-03-25 Arno Strouwen , Sebastian Micluţa-Câmpeanu

We present a novel approach (DyNODE) that captures the underlying dynamics of a system by incorporating control in a neural ordinary differential equation framework. We conduct a systematic evaluation and comparison of our method and…

Machine Learning · Computer Science 2020-09-10 Victor M. Martinez Alvarez , Rareş Roşca , Cristian G. Fălcuţescu

In multi-body dynamics, the motion of a complicated physical object is described as a coupled ordinary differential equation system with multiple unknown solutions. Engineers need to constantly adjust the object to meet requirements at the…

Computational Engineering, Finance, and Science · Computer Science 2022-05-26 Wenhao Ding , Qing He , Hanghang Tong , Ping Wang

First-principles-based modelings have been extremely successful in providing crucial insights and predictions for complex biological functions and phenomena. However, they can be hard to build and expensive to simulate for complex living…

Adaptation and Self-Organizing Systems · Physics 2024-11-26 Ruilin Zhang , Zhongyi Wang , Tianyi Wu , Yuhang Cai , Louis Tao , Zhuo-Cheng Xiao , Yao Li

Reinforcement learning-based quadruped robots excel across various terrains but still lack the ability to swim in water due to the complex underwater environment. This paper presents the development and evaluation of a data-driven…

Robotics · Computer Science 2024-10-02 Cong Wang , Aoming Liang , Fei Han , Xinyu Zeng , Zhibin Li , Dixia Fan , Jens Kober

Neural Ordinary Differential Equations (NODEs) are a new class of models that transform data continuously through infinite-depth architectures. The continuous nature of NODEs has made them particularly suitable for learning the dynamics of…

Machine Learning · Computer Science 2020-10-22 Alexander Norcliffe , Cristian Bodnar , Ben Day , Nikola Simidjievski , Pietro Liò

Model reduction for fluid flow simulation continues to be of great interest across a number of scientific and engineering fields. Here, we explore the use of Neural Ordinary Differential Equations, a recently introduced family of…

Machine Learning · Computer Science 2021-04-30 Sourav Dutta , Peter Rivera-Casillas , Matthew W. Farthing

We propose a neural network based approach for extracting models from dynamic data using ordinary and partial differential equations. In particular, given a time-series or spatio-temporal dataset, we seek to identify an accurate governing…

Machine Learning · Computer Science 2019-08-09 Yifan Sun , Linan Zhang , Hayden Schaeffer
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