Auto-Encoded Reservoir Computing for Turbulence Learning
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Abstract (arXiv)
We present an Auto-Encoded Reservoir-Computing (AE-RC) approach to learn the dynamics of a 2D turbulent flow. The AE-RC consists of an Autoencoder, which discovers an efficient manifold representation of the flow state, and an Echo State Network, which learns the time evolution of the flow in the manifold. The AE-RC is able to both learn the time-accurate dynamics of the flow and predict its first-order statistical moments. The AE-RC approach opens up new possibilities for the spatio-temporal prediction of turbulence with machine learning.
Key facts. Cited by 7 papers in the map (data through 14 Oct 2026). First posted on arXiv 20 Dec 2020.
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Citing papers per year: 2021: 1; 2022: 2; 2023: 1; 2024: 1; 2025: 1; 2026: 1.
7 papers.
- 2022Data-driven low-dimensional dynamic model of Kolmogorov flowcited by 9
- 2021Frame-independent vector-cloud neural network for nonlocal constitutive modeling on arbitrary gridscited by 6
- 2024Decoder Decomposition for the Analysis of the Latent Space of Nonlinear Autoencoders With Wind-Tunnel Experimental Datacited by 3
- 2022Statistical prediction of extreme events from small datasetscited by 2
- 2023Building symmetries into data-driven manifold dynamics models for complex flows: application to two-dimensional Kolmogorov flowcited by 2
- 2025Online model learning with data-assimilated reservoir computerscited by 2
- 2026Spectrally Regularized Latent Flow Matching for Turbulence Generationcited by 0
- 2026Spectrally Regularized Latent Flow Matching for Turbulence Generation10 Jun 2026
- 2025Online model learning with data-assimilated reservoir computers23 Apr 2025
- 2024Decoder Decomposition for the Analysis of the Latent Space of Nonlinear Autoencoders With Wind-Tunnel Experimental Data25 Apr 2024
- 2023Building symmetries into data-driven manifold dynamics models for complex flows: application to two-dimensional Kolmogorov flow15 Dec 2023
- 2022Data-driven low-dimensional dynamic model of Kolmogorov flow29 Oct 2022
- 2022Statistical prediction of extreme events from small datasets20 Jan 2022
- 2021Frame-independent vector-cloud neural network for nonlocal constitutive modeling on arbitrary grids11 Mar 2021