Algebraic Methods for Tensor Data

  title={Algebraic Methods for Tensor Data},
  author={Neriman Tokcan and Jonathan Gryak and K. Najarian and H. Derksen},
  • Neriman Tokcan, Jonathan Gryak, +1 author H. Derksen
  • Published 2020
  • Mathematics, Computer Science
  • ArXiv
  • We develop algebraic methods for computations with tensor data. We give 3 applications: extracting features that are invariant under the orthogonal symmetries in each of the modes, approximation of the tensor spectral norm, and amplification of low rank tensor structure. We introduce colored Brauer diagrams, which are used for algebraic computations and in analyzing their computational complexity. We present numerical experiments whose results show that the performance of the alternating least… CONTINUE READING

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