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Port-Hamiltonian neural networks for learning explicit time-dependent dynamical systems

Abstract:

Accurately learning the temporal behavior of dynamical systems requires models with well-chosen learning biases. Recent innovations embed the Hamiltonian and Lagrangian formalisms into neural networks and demonstrate a significant improvement over other approaches in predicting trajectories of physical systems. These methods generally tackle autonomous systems that depend implicitly on time or systems for which a control signal is known a priori. Despite this success, many real world dynamica...

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Publication status:
Published
Peer review status:
Peer reviewed

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Publisher copy:
10.1103/physreve.104.034312

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Role:
Author
ORCID:
0000-0001-6450-1128
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Institution:
University of Oxford
Division:
MPLS
Department:
Engineering Science
Role:
Author
ORCID:
0000-0002-9305-9268
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Publisher:
American Physical Society Publisher's website
Journal:
Physical Review E Journal website
Volume:
104
Issue:
3
Article number:
034312
Place of publication:
United States
Publication date:
2021-09-29
Acceptance date:
2021-09-14
DOI:
EISSN:
2470-0053
ISSN:
2470-0045
Pmid:
34654178
Language:
English
Keywords:
Pubs id:
1203165
Local pid:
pubs:1203165
Deposit date:
2023-01-20

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