期刊
COMPUTATIONAL MECHANICS
卷 72, 期 3, 页码 553-561出版社
SPRINGER
DOI: 10.1007/s00466-023-02296-w
关键词
Port-Hamiltonian; Thermodynamics; Scientific machine learning; Inductive biases
We develop inductive biases for the machine learning of complex physical systems based on the port-Hamiltonian formalism. We modify the port-Hamiltonian formalism to achieve a port-metriplectic one in order to satisfy the principles of thermodynamics in the learned physics. Our constructed networks are able to learn the physics of complex systems by parts and make predictions at the scale of the complete system. Examples are provided to demonstrate the performance of the proposed technique.
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.
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