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Tensor Rank, Invariants, Inequalities, and Applications

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Publication:2866222
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DOI10.1137/120899066zbMath1295.15016arXiv1211.3461OpenAlexW2963996211MaRDI QIDQ2866222

Elizabeth S. Allman, Peter D. Jarvis, John A. Rhodes, Jeremy G. Sumner

Publication date: 13 December 2013

Published in: SIAM Journal on Matrix Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1211.3461


zbMATH Keywords

tensor ranklatent class modelphylogeneticshyperdeterminantborder rank


Mathematics Subject Classification ID

Vector and tensor algebra, theory of invariants (15A72) Semialgebraic sets and related spaces (14P10)


Related Items (7)

Matrix group structure and Markov invariants in the strand symmetric phylogenetic substitution model ⋮ A note on the maximal rank ⋮ A note on the gap between rank and border rank ⋮ Parsimony and the rank of a flattening matrix ⋮ The \(3\times 3\times 3\) hyperdeterminant as a polynomial in the fundamental invariants for \(\mathrm{SL}_3(\mathbb C)\times\mathrm{SL}_3(\mathbb C)\times\mathrm{SL}_3(\mathbb C)\) ⋮ ADVENTURES IN INVARIANT THEORY ⋮ Homotopy techniques for tensor decomposition and perfect identifiability






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