no code implementations • 6 Aug 2023 • Alberto Racca, Luca Magri
Extreme event are sudden large-amplitude changes in the state or observables of chaotic nonlinear systems, which characterize many scientific phenomena.
no code implementations • 31 Jan 2023 • Nguyen Anh Khoa Doan, Alberto Racca, Luca Magri
The goal of this paper is to obtain an efficient and accurate reduced-order latent representation of a turbulent flow that exhibits extreme events.
no code implementations • 21 Nov 2022 • Alberto Racca, Nguyen Anh Khoa Doan, Luca Magri
The overarching objective of this paper is to propose a nonlinear decomposition of the turbulent state for a reduced-order representation of the dynamics.
no code implementations • 25 Apr 2022 • Alberto Racca, Luca Magri
We show that echo state networks are able to predict extreme events well beyond the predictability time, i. e., up to more than five Lyapunov times.
1 code implementation • 20 Jan 2022 • Alberto Racca, Luca Magri
We asses whether the networks are able to extrapolate from the small imperfect datasets and predict the heavy-tail statistics that describe the events.
no code implementations • 9 Feb 2021 • Alberto Racca, Luca Magri
The proposed validation strategies, which are based on the dynamical systems properties of chaotic time series, are shown to outperform the state-of-the-art validation strategies.
no code implementations • 28 Dec 2020 • Alberto Racca, Luca Magri
The network is showcased in the reconstruction of unmeasured (hidden) states of a chaotic system.