Logistical notes

Tensor basics

  • Multi-linear algebra and multi-way arrays
  • Slicing and dicing: modes, fibers, slices, vecs, and matricization
  • Products: tensor, Kronecker, Khatri-Rao, Tracy-Singh, Hadamard

Tucker-type decompositions

  • Higher-order SVD - similarities and differences to usual
  • Tucker vs CP decomposition
  • Alternating least squares framework