Topology of tensor ranks

DOI10.1016/j.aim.2020.107128zbMath1439.15001arXiv1804.08060OpenAlexW3015187956MaRDI QIDQ2173721

Lek-Heng Lim, Pierre Comon, Yang Qi, Ke Ye

Publication date: 17 April 2020

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1804.08060

zbMATH Keywords

Bott periodicityhomotopy groupssymmetric rankborder rankpath-connectednessmultilinear rank

Mathematics Subject Classification ID

Homotopy groups, general; sets of homotopy classes (55Q05) Connected and locally connected spaces (general aspects) (54D05) Multilinear algebra, tensor calculus (15A69) Vector spaces, linear dependence, rank, lineability (15A03)

Related Items (8)

Separability of Hermitian tensors and PSD decompositions ⋮ Learning diagonal Gaussian mixture models and incomplete tensor decompositions ⋮ Minimality of tensors of fixed multilinear rank ⋮ Symmetric Hermitian decomposability criterion, decomposition, and its applications ⋮ Hermitian Tensor Decompositions ⋮ Semialgebraic sets and real binary forms decompositions ⋮ Tensor Manifold with Tucker Rank Constraints ⋮ A Semidefinite Relaxation Method for Partially Symmetric Tensor Decomposition

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