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Arxiv

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Image Credit: Arxiv

Principal Component Flow Map Learning of PDEs from Incomplete, Limited, and Noisy Data

  • Researchers have developed a computational technique for modeling the evolution of dynamical systems in a reduced basis.
  • The focus of the study is on modeling partially-observed partial differential equations (PDEs) on high-dimensional non-uniform grids.
  • The technique addresses the limitations of previous work by considering noisy and limited data, simulating real-world data collection scenarios.
  • By leveraging recent advancements in PDE modeling, the researchers propose a neural network structure that is suitable for modeling PDEs with noisy and limited data.

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