Summary of Tensor Decomposition from High Performance Computing View (Updating)

Survey:

Tensor Formats:

Sparse Tensor Parallelization:

Current Development:

  • Fundamental tensor operations
    • TTM
    • MTTKRP
    • Tensor contraction
  • Tensor Decompositions
    • CP decomposition
    • Tucker decomposition
    • (Anima’s )
    • Tensor Train decomposition
    • Hierarchical Tucker decomposition

Applications:

  • Healthcare
  • Deep Learning
  • Traditional Machine Learning
  • Social Networks

Software:

  • Matlab
    • Tensor Toolbox
    • N-way Toolbox
  • C++
    • CTF (Cyclops Tensor Framework)
    • SPLATT
    • ParTI
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