PMID- 36788325
OWN - NLM
STAT- PubMed-not-MEDLINE
DCOM- 20230215
LR  - 20230217
IS  - 2045-2322 (Electronic)
IS  - 2045-2322 (Linking)
VI  - 13
IP  - 1
DP  - 2023 Feb 14
TI  - Symplectic encoders for physics-constrained variational dynamics inference.
PG  - 2643
LID - 10.1038/s41598-023-29186-8 [doi]
LID - 2643
AB  - We propose a new variational autoencoder (VAE) with physical constraints capable 
      of learning the dynamics of Multiple Degree of Freedom (MDOF) dynamic systems. 
      Standard variational autoencoders place greater emphasis on compression than 
      interpretability regarding the learned latent space. We propose a new type of 
      encoder, based on the recently developed Hamiltonian Neural Networks, to impose 
      symplectic constraints on the inferred a posteriori distribution. In addition to 
      delivering robust trajectory predictions under noisy conditions, our model is 
      capable of learning an energy-preserving latent representation of the system. 
      This offers new perspectives for the application of physics-informed neural 
      networks on engineering problems linked to dynamics.
CI  - (c) 2023. The Author(s).
FAU - Bacsa, Kiran
AU  - Bacsa K
AD  - Singapore-ETH Centre, Future Resilient Systems, 138602, Singapore, Singapore. 
      kiran.bacsa@sec.ethz.ch.
AD  - ETH Zurich, Department of Civil, Environmental and Geomatic Engineering, 8093, 
      Zurich, Switzerland. kiran.bacsa@sec.ethz.ch.
FAU - Lai, Zhilu
AU  - Lai Z
AD  - Singapore-ETH Centre, Future Resilient Systems, 138602, Singapore, Singapore.
AD  - ETH Zurich, Department of Civil, Environmental and Geomatic Engineering, 8093, 
      Zurich, Switzerland.
AD  - HKUST (GZ), Internet of Things Thrust, Guangzhou, 511453, People's Republic of 
      China.
AD  - Department of Civil and Environmental Engineering, HKUST, Hong Kong, People's 
      Republic of China.
FAU - Liu, Wei
AU  - Liu W
AD  - Singapore-ETH Centre, Future Resilient Systems, 138602, Singapore, Singapore.
AD  - Department of Industrial Systems and Management, NUS, 117576, Singapore, 
      Singapore.
FAU - Todd, Michael
AU  - Todd M
AD  - Department of Structural Engineering, UC San Diego, San Diego, 92093, USA.
FAU - Chatzi, Eleni
AU  - Chatzi E
AD  - ETH Zurich, Department of Civil, Environmental and Geomatic Engineering, 8093, 
      Zurich, Switzerland.
LA  - eng
GR  - Future Resilient Systems Phase 2/Singapore-ETH Centre/
GR  - Future Resilient Systems Phase 2/Singapore-ETH Centre/
GR  - Future Resilient Systems Phase 2/Singapore-ETH Centre/
PT  - Journal Article
DEP - 20230214
PL  - England
TA  - Sci Rep
JT  - Scientific reports
JID - 101563288
SB  - IM
PMC - PMC9929450
COIS- The authors declare no competing interests.
EDAT- 2023/02/15 06:00
MHDA- 2023/02/15 06:01
PMCR- 2023/02/14
CRDT- 2023/02/14 23:32
PHST- 2022/09/29 00:00 [received]
PHST- 2023/01/31 00:00 [accepted]
PHST- 2023/02/14 23:32 [entrez]
PHST- 2023/02/15 06:00 [pubmed]
PHST- 2023/02/15 06:01 [medline]
PHST- 2023/02/14 00:00 [pmc-release]
AID - 10.1038/s41598-023-29186-8 [pii]
AID - 29186 [pii]
AID - 10.1038/s41598-023-29186-8 [doi]
PST - epublish
SO  - Sci Rep. 2023 Feb 14;13(1):2643. doi: 10.1038/s41598-023-29186-8.