T. Sakata

activity

20082018

most citedRank of 3-tensors with 2 slices and Kronecker canonical forms

16 citations · 33 across the 14 of their papers we have counts for

collaborators

Showing 2013Show all

3 papers · 1 filter

stat.CO2013

Holonomic Decent Minimization Method for Restricted Maximum Likelihood Estimation

Rieko Sakurai, Toshio Sakata

Recently, the school of Takemura and Takayama have developed a quite interesting minimization method called holonomic gradient descent method (HGD). It works by a mixed use of Pfaf…

math.RA2013★ 2 cited

Rank of tensors with size 2 x ... x 2

Toshio Sumi, Toshio Sakata, Mitsuhiro Miyazaki

We study an upper bound of ranks of $n$ -tensors with size $2 \times \dots \times 2$ over the complex and real number field. We characterize a $2 \times 2 \times 2$ tensor with rank 3 by…

math.RA2013★ 1 cited

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

Let $3 \leq m \leq n$ . We study typical ranks of $m \times n \times ((m - 1) n - 1)$ tensors over the real number field. The number $(m - 1) n - 1$ is a minimal typical rank of $m\times n\times…