Journal
SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS
Volume 30, Issue 3, Pages 1022-1032Publisher
SIAM PUBLICATIONS
DOI: 10.1137/060661685
Keywords
multilinear algebra; higher-order tensor; Tucker decomposition; canonical decomposition; parallel factors model
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In this paper we study a generalization of Kruskal's permutation lemma to partitioned matrices. We define the k'-rank of partitioned matrices as a generalization of the k-rank of matrices. We derive a lower-bound on the k'-rank of Khatri-Rao products of partitioned matrices. We prove that Khatri-Rao products of partitioned matrices are generically full column rank.
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