Towards data-driven discovery of governing equations in geosciences

W Song, S Jiang, G Camps-Valls, M Williams… - … Earth & Environment, 2024 - nature.com
Governing equations are foundations for modelling, predicting, and understanding the Earth
system. The Earth system is undergoing rapid change, and the conventional approaches for …

System identification based on characteristic curves: a mathematical connection between power series and Fourier analysis for first-order nonlinear systems

FJ Gonzalez - Nonlinear Dynamics, 2024 - Springer
Recently, the s inosoidal o utput r esponse in p ower s eries (SORPS) formalism was
presented for system identification and simulation. Based on the concept of c haracteristic c …

Data-Driven Discovery of Unmanned Aerial Vehicles Dynamics*

M Hilmi, A Widyotriatmo, A Hasan - 2024 IEEE International …, 2024 - ieeexplore.ieee.org
This paper presents Wide-Array of Nonlinear Dynamics Approximation (WyNDA) as a
method for discovering the governing equations of Unmanned Aerial Vehicles (UAVs) …

[HTML][HTML] Modelling pellet size and shape evolution during the breakage stage in spheronisation

J Whelan-Smith, MS How, SL Rough, L Wang… - Powder Technology, 2024 - Elsevier
In the breakage stage of extrusion-spheronisation, initially cylindrical extrudates undergo
simultaneous breakage and rounding on a rotating friction plate. This sets the starting …

[HTML][HTML] Discovering PDEs Corrections from Data Within a Hybrid Modeling Framework

C Ghnatios, F Chinesta - Mathematics, 2024 - mdpi.com
In the context of hybrid twins, a data-driven enrichment is added to the physics-based
solution to represent with higher accuracy the reference solution assumed to be known at …

Active Symbolic Discovery of Ordinary Differential Equations via Phase Portrait Sketching

N Jiang, M Nasim, Y Xue - arXiv preprint arXiv:2409.01416, 2024 - arxiv.org
Discovering Ordinary Differential Equations (ODEs) from trajectory data is a crucial task in AI-
driven scientific discovery. Recent methods for symbolic discovery of ODEs primarily rely on …

[HTML][HTML] Data driven modeling of heavy-duty joint system for DEMO manipulators: An initial study from MPD joint simulation

M Li, H Wu, C Li, Z Yao, Q Wang, H Handroos… - Fusion Engineering and …, 2024 - Elsevier
This study investigates the subspace modeling method in developing surrogate model of a
heavy-duty joint system in a muti-purpose deployer. The joint system is constructed in the …

Automating the Discovery of Partial Differential Equations in Dynamical Systems

W Li, R Carvalho - arXiv preprint arXiv:2404.16444, 2024 - arxiv.org
Identifying partial differential equations (PDEs) from data is crucial for understanding the
governing mechanisms of natural phenomena, yet it remains a challenging task. We present …

Data-Efficient System Identification via Lipschitz Neural Networks

S Wei, P Krishnamurthy, F Khorrami - arXiv preprint arXiv:2410.21234, 2024 - arxiv.org
Extracting dynamic models from data is of enormous importance in understanding the
properties of unknown systems. In this work, we employ Lipschitz neural networks, a class of …

[PDF][PDF] Finding commonalities in dynamical systems with gaussian processes

A Besginow, JD Hüwel… - DataNinja …, 2024 - biecoll.ub.uni-bielefeld.de
Finding Commonalities in Dynamical Systems with Gaussian Processes Page 1
Proceedings of the DataNinja sAIOnARA 2024 Conference 26-28 DOI: 10.11576/dataninja-1162 …