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Arxiv

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Image Credit: Arxiv

Symbolic identification of tensor equations in multidimensional physical fields

  • A new data-driven framework, called Symbolic Identification of Tensor Equations (SITE), has been proposed for identifying tensor equations.
  • SITE represents tensor equations using a host-plasmid structure inspired by multidimensional gene expression programming (M-GEP).
  • SITE introduces innovations like a dimensional homogeneity check and a tensor linear regression technique to enhance efficiency in identifying tensor relationships.
  • Validation of SITE using benchmark scenarios demonstrates its ability to recover target equations accurately from data and its potential for data-driven discovery of tensor equations.

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