no code implementations • 24 Aug 2023 • Marcial Sanchis-Agudo, Yuning Wang, Luca Guastoni, Karthik Duraisamy, Ricardo Vinuesa
To improve the robustness of transformer neural networks used for temporal-dynamics prediction of chaotic systems, we propose a novel attention mechanism called easy attention which we demonstrate in time-series reconstruction and prediction.
no code implementations • 2 Mar 2022 • Giuseppe Borrelli, Luca Guastoni, Hamidreza Eivazi, Philipp Schlatter, Ricardo Vinuesa
Alternative reduced-order models (ROMs), based on the identification of different turbulent structures, are explored and they continue to show a good potential in predicting the temporal dynamics of the minimal channel.
no code implementations • 1 May 2020 • Hamidreza Eivazi, Luca Guastoni, Philipp Schlatter, Hossein Azizpour, Ricardo Vinuesa
We also observe that using a loss function based only on the instantaneous predictions of the chaotic system can lead to suboptimal reproductions in terms of long-term statistics.
no code implementations • 4 Feb 2020 • Luca Guastoni, Prem A. Srinivasan, Hossein Azizpour, Philipp Schlatter, Ricardo Vinuesa
We also observe that using a loss function based only on the instantaneous predictions of the flow may not lead to the best predictions in terms of turbulence statistics, and it is necessary to define a stopping criterion based on the computed statistics.