2 papers
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
Quantum communication is concerned with the complexity of entanglement of a state and statistical data analysis is concerned with the complexity of a model. A common key word for b…
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
The determination of the maximal ranks of a set of a given type of tensors is a basic problem both in theory and application. In statistical applications, the maximal rank is relat…