A concise proof of Kruskal's theorem on tensor decomposition

Details A concise proof of Kruskal's theorem on tensor decomposition A concise proof of Kruskal's theorem on tensor decomposition

2009-01-13

arxiv.org/abs/0901.1796v1

Mathematics

Rings and Algebras

Scientific paper

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.

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