The geometry of the tensor rank decomposition: Perturbation theory KU Leuven
The tensor rank decomposition is an expression of a tensor as a linear combination of rank-1 tensors that appears in a variety of theoretical and practical settings: It finds application in algebraic complexity theory where the length of the rank decomposition of Strassen's tensor corresponds with the multiplicative complexity of matrix multiplication, in algebraic statistics for parameter inference of statistical models, in signal processing ...