A generalization of Kruskal’s theorem on tensor decomposition
Kruskal’s theorem states that a sum of product tensors constitutes a unique tensor rank decomposition if the so-called k-ranks of the product tensors are large. We prove a ‘splitting theorem’ for sets of product tensors, in which the k-rank condition of Kruskal’s theorem is weakened to the standard...
Main Authors: | , |
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Format: | Article |
Language: | English |
Published: |
Cambridge University Press
2023-01-01
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Series: | Forum of Mathematics, Sigma |
Subjects: | |
Online Access: | https://www.cambridge.org/core/product/identifier/S2050509423000208/type/journal_article |