Basics of Tensor Rank

  • Toshio Sakata
  • Toshio Sumi
  • Mitsuhiro Miyazaki
Part of the SpringerBriefs in Statistics book series (BRIEFSSTATIST)


In statistical data analysis, a tensor is a multi-array datum. Just as the complexity of a matrix datum is described by its matrix rank, the complexity of a tensor datum is described by its tensor rank. In this chapter, we review several concepts of tensor rank such as rank-1 tensors and tensor flattening.


Kronecker Product Maximal Rank Nonzero Vector Matrix Rank Tensor Rank 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Copyright information

© The Author(s) 2016

Authors and Affiliations

  • Toshio Sakata
    • 1
  • Toshio Sumi
    • 2
  • Mitsuhiro Miyazaki
    • 3
  1. 1.Faculty of DesignKyushu UniversityFukuokaJapan
  2. 2.Faculty of Arts and ScienceKyushu UniversityFukuokaJapan
  3. 3.Department of MathematicsKyoto University of EducationKyotoJapan

Personalised recommendations