papers
Publications (11)
quant-ph2009
Tensor rank problem in statistical high-dimensional data and quantum information theory:their comparisons on the methods and the results
Toshio Sakata, Lin Chen, Toshio Sumi +1
stat.OT2010
Tests of Non-Equivalence among Absolutely Nonsingular Tensors through Geometric Invariants
Toshio Sakata, Kazumitsu Maehra, Takeshi Sasaki +3
math.RA2013
Rank of tensors with size 2 x ... x 2
Toshio Sumi, Toshio Sakata, Mitsuhiro Miyazaki
math.RA2008
Rank of 3-tensors with 2 slices and Kronecker canonical forms
Toshio Sumi, Mitsuhiro Miyazaki, Toshio Sakata
stat.CO2013
Holonomic Decent Minimization Method for Restricted Maximum Likelihood Estimation
Rieko Sakurai, Toshio Sakata
math.RA2012
Typical ranks of certain 3-tensors and absolutely full column rank tensors
Mitsuhiro Miyazaki, Toshio Sumi, Toshio Sakata
math.RA2012
Typical rank of $m\times n\times (m-1)n$ tensors with $3\leq m\leq n$ over the real number field
Toshio Sumi, Mitsuhiro Miyazaki, Toshio Sakata
math.RA2008
About the maximal rank of 3-tensors over the real and the complex number field
Toshio Sumi, Mitsuhiro Miyazaki, Toshio Sakata
math.RA2013
Upper bound of typical ranks of m x n x ((m-1)n-1) tensors over the real number field
Toshio Sumi, Toshio Sakata, Mitsuhiro Miyazaki
math.RA2008
A simple estimation of the maximal rank of tensors with two slices by row and column operations, symmetrization and induction
Toshio Sakata, Toshio Sumi, Mitsuhiro Miyazaki
math.RA2010
Perfect type of n-tensors
Toshio Sumi, Toshio Sakata, Mitsuhiro Miyazaki