Port-metriplectic neural networks: thermodynamics-informed machine learning of complex physical systems

Hernández, Quercus ; Badías, Alberto ; Chinesta, Francisco ; Cueto, Elías (Universidad de Zaragoza)

Resumen: We develop inductive biases for the machine learning of complex physical systems based on the port-Hamiltonian formalism. To satisfy by construction the principles of thermodynamics in the learned physics (conservation of energy, non-negative entropy production), we modify accordingly the port-Hamiltonian formalism so as to achieve a port-metriplectic one. We show that the constructed networks are able to learn the physics of complex systems by parts, thus alleviating the burden associated to the experimental characterization and posterior learning process of this kind of systems. Predictions can be done, however, at the scale of the complete system. Examples are shown on the performance of the proposed technique.

Idioma: Inglés

DOI: 10.1007/s00466-023-02296-w

Año: 2023

Publicado en: COMPUTATIONAL MECHANICS 72, 3 (2023), 553–561
ISSN: 0178-7675

Factor impacto JCR: 3.7 (2023)

Categ. JCR: MATHEMATICS, INTERDISCIPLINARY APPLICATIONS rank: 13 / 135 = 0.096 (2023) - Q1 - T1
Categ. JCR: MECHANICS rank: 33 / 170 = 0.194 (2023) - Q1 - T1

Factor impacto CITESCORE: 7.8 - Applied Mathematics (Q1) - Computational Mathematics (Q1) - Mechanical Engineering (Q1) - Computational Mechanics (Q1) - Ocean Engineering (Q1) - Computational Theory and Mathematics (Q1)

Factor impacto SCIMAGO: 1.265 - Applied Mathematics (Q1) - Computational Mathematics (Q1) - Ocean Engineering (Q1) - Computational Theory and Mathematics (Q1) - Mechanical Engineering (Q1) - Computational Mechanics (Q1)

Financiación: info:eu-repo/grantAgreement/ES/MICINN-AEI/PID2020-113463RB-C31/AEI/10.13039/501100011033

Tipo y forma: Article (Published version)

Área (Departamento): Área Mec.Med.Cont. y Teor.Est. (Dpto. Ingeniería Mecánica)