A concise proof of Kruskal's theorem on tensor decomposition
Rings and Algebras
2009-01-15 v1
Abstract
A theorem of J. Kruskal from 1977, motivated by a latent-class statistical model, established that under certain explicit conditions the expression of a 3-dimensional tensor as the sum of rank-1 tensors is essentially unique. We give a new proof of this fundamental result, which is substantially shorter than both the original one and recent versions along the original lines.
Keywords
Cite
@article{arxiv.0901.1796,
title = {A concise proof of Kruskal's theorem on tensor decomposition},
author = {John A. Rhodes},
journal= {arXiv preprint arXiv:0901.1796},
year = {2009}
}