A concise proof of Kruskal's theorem on tensor decomposition

作者：Rhodes John A^*

来源：Linear Algebra and Its Applications, 2010, 432(7): 1818-1824.

DOI：10.1016/j.laa.2009.11.033

• Tensor rank
• Candecomp
• Parafac

A theorem of J. Kruskal from 1977, motivated by a latent-class statistical model, established that under certain explicit conditions the expression of a third-order 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.

• 出版日期2010-3-15