Thermodynamics of learning physical phenomena

E Cueto, F Chinesta - Archives of Computational Methods in Engineering, 2023 - Springer
Thermodynamics could be seen as an expression of physics at a high epistemic level. As
such, its potential as an inductive bias to help machine learning procedures attain accurate …

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

Q Hernández, A Badías, F Chinesta, E Cueto - Computational Mechanics, 2023 - Springer
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 …

Hamiltonian deep neural networks guaranteeing nonvanishing gradients by design

CL Galimberti, L Furieri, L Xu… - IEEE Transactions on …, 2023 - ieeexplore.ieee.org
Deep neural networks (DNNs) training can be difficult due to vanishing and exploding
gradients during weight optimization through backpropagation. To address this problem, we …

Distributed neural network control with dependability guarantees: a compositional port-Hamiltonian approach

L Furieri, CL Galimberti, M Zakwan… - … for dynamics and …, 2022 - proceedings.mlr.press
Large-scale cyber-physical systems require that control policies are distributed, that is, that
they only rely on local real-time measurements and communication with neighboring agents …

An embedded Hamiltonian dynamic evolutionary neural network model for high-dimensional data recognition

K Qian, L Tian - Applied Soft Computing, 2023 - Elsevier
Aiming at the limitation of Hamiltonian neural network in high-dimensional data processing
with non-observable physical quantity system, an embedded Hamiltonian dynamic …

Structure-Preserving Deep Learning

QM Hernández Laín, E Cueto Prendes… - zaguan.unizar.es
Las tecnologías de simulación se han convertido en una herramienta útil para modelizar
muchos sistemas en una amplia variedad de disciplinas, desde las ciencias sociales a las …