A concise proof of Kruskal’s theorem on tensor decomposition

By John A. Rhodes. 2009

63 citations recorded by the source corpus.

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.

Subfields: Computational Mathematics, Radiology, Nuclear Medicine and Imaging, Signal Processing

View Paper: https://www.semanticscholar.org/paper/bcf46a7407912a545455ea5e382bb96ae70b1985

Citations in the corpus

• Tensors : A brief introduction (2014, unknown): “The most well known is that published by Kruskal [47] and extended later in [73], [81]; alternate proofs have been derived in [68], [49].”