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RefreshNet: learning multiscale dynamics through hierarchical refreshing

delete2024-06-10
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PRE
AI
J
Junaid Farooq *
D
Danish Rafiq
P
Pantelis R. Vlachas
M
Mohammad Abid Bazaz
DOI:10.1007/s11071-024-09813-3delete
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Abstract

Abstract

En 中文
Forecasting complex system dynamics, particularly for long-term predictions, is persistently hindered by error accumulation and computational burdens. This study presents RefreshNet, a multiscale framework developed to overcome these challenges, delivering an unprecedented balance between computational efficiency and predictive accuracy. RefreshNet incorporates convolutional autoencoders to identify a reduced order latent space capturing essential features of the dynamics, and strategically employs multiple recurrent neural network blocks operating at varying temporal resolutions within the latent space, thus allowing the capture of latent dynamics at multiple temporal scales. The unique refreshing mechanism in RefreshNet allows coarser blocks to reset inputs of finer blocks, effectively controlling and alleviating error accumulation. This design demonstrates superiority over existing techniques regarding computational efficiency and predictive accuracy, especially in long-term forecasting. The framework is validated using three benchmark applications: the FitzHugh-Nagumo system, the Reaction-Diffusion equation, and Kuramoto-Sivashinsky dynamics. RefreshNet significantly outperforms state-of-the-art methods in long-term forecasting accuracy and speed, marking a significant advancement in modeling complex systems and opening new avenues in understanding and predicting their behavior.
Keywords:
Complex systems
Multiscale dynamics
Deep learning
Autoencoder

Journal

Nonlinear Dynamics cover
Nonlinear Dynamics
IF:
6
Papers:
1.4W
Citations:
4.1W

Organization

N
national institute of technology (nit system)
Scholars:
4.0W
Papers: 3.7W
Citations: 31
N
National Institute of Technology Srinagar
Scholars:
412
Papers: 403
Citations: 1.1K
S
swiss federal institutes of technology domain
Scholars:
9.0W
Papers: 8.0W
Citations: 163
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