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arXiv · 0901.1796

A concise proof of Kruskal's theorem on tensor decomposition

John A. Rhodes
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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.

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John A. Rhodes. 2009-01-13. A concise proof of Kruskal's theorem on tensor decomposition. https://arxiv.org/abs/0901.1796

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