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Data-driven models of robot motion constructed using principles from Geometric Mechanics have been shown to produce useful predictions of robot motion for a variety of robots. For robots with a useful number of DoF, these geometric…

Robotics · Computer Science 2025-06-19 Ruizhen Hu , Shai Revzen

Data-driven algorithms, in particular neural networks, can emulate the effect of sub-grid scale processes in coarse-resolution climate models if trained on high-resolution climate simulations. However, they may violate key physical…

Atmospheric and Oceanic Physics · Physics 2020-04-21 Tom Beucler , Michael Pritchard , Pierre Gentine , Stephan Rasp

Nowadays, interest in combining mathematical knowledge about phenomena and data from the physical system is growing. Past research was devoted to developing so-called high-fidelity models, intending to make them able to catch most of the…

Numerical Analysis · Mathematics 2025-02-20 Stefano Riva , Carolina Introini , Antonio Cammi

Novel vehicular communication methods are mostly analyzed simulatively or analytically as real world performance tests are highly time-consuming and cost-intense. Moreover, the high number of uncontrollable effects makes it practically…

Networking and Internet Architecture · Computer Science 2019-11-22 Benjamin Sliwa , Christian Wietfeld

Mobile multi-robot teams deployed for monitoring or search-and-rescue missions in urban disaster areas can greatly improve the quality of vital data collected on-site. Analysis of such data can identify hazards and save lives.…

Robotics · Computer Science 2013-02-25 Nicolas Kourtellis , Adriana Iamnitchi , Cristian Borcea , Robin Murphy

Accurate kinematic models are essential for effective control of surgical robots. For tendon driven robots, which is common for minimally invasive surgery, intrinsic nonlinearities are important to consider. Traditional analytical methods…

Robotics · Computer Science 2020-06-11 Francesco Cursi , Anh Nguyen , Guang-Zhong Yang

Modeling and control of high-dimensional, nonlinear robotic systems remains a challenging task. While various model- and learning-based approaches have been proposed to address these challenges, they broadly lack generalizability to…

Robotics · Computer Science 2022-09-21 John Irvin Alora , Mattia Cenedese , Edward Schmerling , George Haller , Marco Pavone

The understanding of nonlinear, high dimensional flows, e.g, atmospheric and ocean flows, is critical to address the impacts of global climate change. Data Assimilation techniques combine physical models and observational data, often in a…

Complex chaotic dynamics, seen in natural and industrial systems like turbulent flows and weather patterns, often span vast spatial domains with interactions across scales. Accurately capturing these features requires a high-dimensional…

Chaotic Dynamics · Physics 2024-10-03 C. Ricardo Constante-Amores , Alec J. Linot , Michael D. Graham

Data assimilation (DA) has increasingly emerged as a critical tool for state estimation across a wide range of applications. It is significantly challenging when the governing equations of the underlying dynamics are unknown. To this end,…

Machine Learning · Computer Science 2026-01-13 Ziyi Wang , Lijian Jiang

Shallow water equations are extensively considered in the domains of oceans, atmospheric modelling, and engineering research (Franca et al., 2022), which play significant roles in floods and tsunami governance. Nonetheless, the accurate…

Fluid Dynamics · Physics 2023-09-22 Ruijia Yu

We consider joint trajectory generation and tracking control for under-actuated robotic systems. A common solution is to use a layered control architecture, where the top layer uses a simplified model of system dynamics for trajectory…

Robotics · Computer Science 2023-07-27 Anusha Srikanthan , Fengjun Yang , Igor Spasojevic , Dinesh Thakur , Vijay Kumar , Nikolai Matni

Data assimilation (DA) is integrated with machine learning in order to perform entirely data-driven online state estimation. To achieve this, recurrent neural networks (RNNs) are implemented as surrogate models to replace key components of…

This paper proposes an integration of surrogate modeling and topology to significantly reduce the amount of data required to describe the underlying global dynamics of robot controllers, including closed-box ones. A Gaussian Process (GP),…

We present a data-driven approach to efficiently approximate nonlinear transient dynamics in solid-state systems. Our proposed machine-learning model combines a dimensionality reduction stage with a nonlinear vector autoregression scheme.…

Computational Physics · Physics 2024-02-22 Stefan Meinecke , Felix Köster , Dominik Christiansen , Kathy Lüdge , Andreas Knorr , Malte Selig

Direct numerical simulation of hierarchical materials via homogenization-based concurrent multiscale models poses critical challenges for 3D large scale engineering applications, as the computation of highly nonlinear and path-dependent…

Computational Engineering, Finance, and Science · Computer Science 2022-12-29 Shiguang Deng

In the late stages of terrestrial planet formation, pairwise collisions between planetary-sized bodies act as the fundamental agent of planet growth. These collisions can lead to either growth or disruption of the bodies involved and are…

Earth and Planetary Astrophysics · Physics 2020-12-03 Miles Timpe , Maria Han Veiga , Mischa Knabenhans , Joachim Stadel , Stefano Marelli

Accurately modeling contact behaviors for real-world, near-rigid materials remains a grand challenge for existing rigid-body physics simulators. This paper introduces a data-augmented contact model that incorporates analytical solutions…

Robotics · Computer Science 2022-06-23 Yifeng Jiang , Jiazheng Sun , C. Karen Liu

Multiple time scale stochastic dynamical systems are ubiquitous in science and engineering, and the reduction of such systems and their models to only their slow components is often essential for scientific computation and further analysis.…

Dynamical Systems · Mathematics 2015-01-22 Carmeline J. Dsilva , Ronen Talmon , C. William Gear , Ronald R. Coifman , Ioannis G. Kevrekidis

One of the most basic skills a robot should possess is predicting the effect of physical interactions with objects in the environment. This enables optimal action selection to reach a certain goal state. Traditionally, dynamics are…

Robotics · Computer Science 2020-10-13 Alina Kloss , Stefan Schaal , Jeannette Bohg
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