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Neural ordinary differential equations are an attractive option for modelling temporal dynamics. However, a fundamental issue is that the solution to an ordinary differential equation is determined by its initial condition, and there is no…

Machine Learning · Computer Science 2020-11-06 Patrick Kidger , James Morrill , James Foster , Terry Lyons

Long-horizon motion forecasting for multiple autonomous robots is challenging due to non-linear agent interactions, compounding prediction errors, and continuous-time evolution of dynamics. Learned dynamics of such a system can be useful in…

Robotics · Computer Science 2025-10-02 Shounak Sural , Charles Kekeh , Wenliang Liu , Federico Pecora , Mouhacine Benosman

We propose heavy ball neural ordinary differential equations (HBNODEs), leveraging the continuous limit of the classical momentum accelerated gradient descent, to improve neural ODEs (NODEs) training and inference. HBNODEs have two…

Machine Learning · Computer Science 2021-10-12 Hedi Xia , Vai Suliafu , Hangjie Ji , Tan M. Nguyen , Andrea L. Bertozzi , Stanley J. Osher , Bao Wang

Pneumatic artificial muscles (PAMs) enable compliant actuation for soft wearable, assistive, and interactive robots. When arranged antagonistically, PAMs can provide variable impedance through co-contraction but exhibit coupled, nonlinear,…

Robotics · Computer Science 2026-03-02 Xinyao Wang , Jonathan Realmuto

Designing aerial robots for specialized tasks, from perching to payload delivery, requires tailoring their aerodynamic shape to specific mission requirements. For tasks involving wide flight envelopes, the usual sequential process of first…

Robotics · Computer Science 2026-03-10 Daniele Affinita , Mingda Xu , Benoît Valentin Gherardi , Pascal Fua

In this paper we propose two numerical algorithms to solve a coupled PDE-ODE system which models a slow vehicle (bottleneck) moving on a road together with other cars. The resulting system is fully coupled because the dynamics of the slow…

Dynamical Systems · Mathematics 2021-03-22 Gabriella Bretti , Emiliano Cristiani , Corrado Lattanzio , Amelio Maurizi , Benedetto Piccoli

In this paper, we follow the physics guided modeling approach and integrate a neural differential equation network into the physical structure of a vehicle single track model. By relying on the kinematic relations of the single track…

Computational Engineering, Finance, and Science · Computer Science 2024-03-19 Stephan Rhode , Fabian Jarmolowitz , Felix Berkel

This paper addresses the problem of data-driven modeling and verification of perception-based autonomous systems. We assume the perception model can be decomposed into a canonical model (obtained from first principles or a simulator) and a…

Systems and Control · Electrical Eng. & Systems 2023-12-13 Thomas Waite , Alexander Robey , Hassani Hamed , George J. Pappas , Radoslav Ivanov

Reliable autonomous navigation requires adapting the control policy of a mobile robot in response to dynamics changes in different operational conditions. Hand-designed dynamics models may struggle to capture model variations due to a…

Robotics · Computer Science 2024-03-14 Abdullah Altawaitan , Jason Stanley , Sambaran Ghosal , Thai Duong , Nikolay Atanasov

We investigate the use of reduced-order modelling to run discrete element simulations at higher speeds. Taking a data-driven approach, we run many offline simulations in advance and train a model to predict the velocity field from the mass…

Computational Physics · Physics 2021-03-02 Erik Wallin , Martin Servin

Spacecraft are vital to space exploration and are often equipped with lightweight, flexible appendages to meet strict weight constraints. These appendages pose significant challenges for modeling and control due to their inherent…

Systems and Control · Electrical Eng. & Systems 2025-02-14 Huanqing Wang , Kaixiang Zhang , Amin Vahidi-Moghaddam , Haowei An , Nan Li , Daning Huang , Zhaojian Li

Bayesian Neural Networks (BNN) have recently emerged in the Deep Learning world for dealing with uncertainty estimation in classification tasks, and are used in many application domains such as astrophysics, autonomous driving...BNN assume…

Machine Learning · Computer Science 2021-02-04 Claire Theobald , Frédéric Pennerath , Brieuc Conan-Guez , Miguel Couceiro , Amedeo Napoli

A miniature robotic blimp, as one type of lighter-than-air aerial vehicle, has attracted increasing attention in the science and engineering field for its long flight duration and safe aerial locomotion. While a variety of miniature robotic…

Robotics · Computer Science 2023-10-23 Hao Cheng , Zeyu Sha , Yongjian Zhu , Feitian Zhang

We present a scheme for producing tunable active dynamics in a self-propelled robotic device. The robot moves using the differential drive mechanism where two wheels can vary their instantaneous velocities independently. These velocities…

Soft Condensed Matter · Physics 2024-05-27 Somnath Paramanick , Arnab Pal , Harsh Soni , Nitin Kumar

Design of robots at the small scale is a trial-and-error based process, which is costly and time-consuming. There are few dynamic simulation tools available to accurately predict the motion or performance of untethered microrobots as they…

Robotics · Computer Science 2020-10-08 Jiayin Xie , Chenghao Bi , David J. Cappelleri , Nilanjan Chakraborty

Many engineered physical processes exhibit nonlinear but asymptotically stable dynamics that converge to a finite set of equilibria determined by control inputs. Identifying such systems from data is challenging: stable dynamics provide…

Systems and Control · Electrical Eng. & Systems 2026-03-31 Ike Griss Salas , Ethan King

Neural operators have emerged as fast surrogate solvers for parametric partial differential equations (PDEs). However, purely data-driven models often require extensive training data and can generalize poorly, especially in small-data…

Machine Learning · Computer Science 2026-02-16 Heechang Kim , Qianying Cao , Hyomin Shin , Seungchul Lee , George Em Karniadakis , Minseok Choi

Species transport models typically combine partial differential equations (PDEs) with relations from hindered transport theory to quantify electromigrative, convective, and diffusive transport through complex nanoporous systems; however,…

Machine Learning · Computer Science 2023-12-06 Danyal Rehman , John H. Lienhard

Accurate prediction of the dynamics and deformation of freely moving drops is crucial for numerous droplet applications. When the Weber number is finite but below a critical value, the drop deviates from its spherical shape and deforms as…

Fluid Dynamics · Physics 2024-05-03 T. Mahmood , A. Tonmoy , C. Sevart , Y. Wang , Y. Ling

Design of robots at the small scale is a trial-and-error based process, which is costly and time-consuming. There are no good dynamic simulation tools to predict the motion or performance of a microrobot as it moves against a substrate. At…

Robotics · Computer Science 2019-07-31 Jiayin Xie , Chenghao Bi , David J. Cappelleri , Nilanjan Chakraborty
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