3 papers
physics.flu-dyn2025
Reconstruction of three-dimensional turbulent flows from sparse and noisy planar measurements: A weight-sharing neural network approach
Yaxin Mo, Luca Magri
This paper proposes a method for reconstructing three-dimensional turbulent flows from sparse measurements without the need for ground truth data during training. A weight-sharing…
cs.LG2024
Inferring stability properties of chaotic systems on autoencoders' latent spaces
Elise Ãzalp, Luca Magri
The data-driven learning of solutions of partial differential equations can be based on a divide-and-conquer strategy. First, the high dimensional data is compressed to a latent sp…
nlin.CD2024
Stability analysis of chaotic systems in latent spaces
Elise Ãzalp, Luca Magri
Partial differential equations, and their chaotic solutions, are pervasive in the modelling of complex systems in engineering, science, and beyond. Data-driven methods can find sol…