The scaling of physics-informed machine learning with data and dimensions

We quantify how incorporating physics into neural network design can significantly improve the learning and forecasting of dynamical systems, even nonlinear systems of many dimensions. We train conventional and Hamiltonian neural networks on increasingly difficult dynamical systems and compute their...

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Bibliographic Details
Main Authors: Scott T. Miller, John F. Lindner, Anshul Choudhary, Sudeshna Sinha, William L. Ditto
Format: Article
Language:English
Published: Elsevier 2020-03-01
Series:Chaos, Solitons & Fractals: X
Subjects:
Online Access:http://www.sciencedirect.com/science/article/pii/S2590054420300270