English

On partial and generic uniqueness of block term tensor decompositions

Algebraic Geometry 2013-01-08 v1

Abstract

We present several conditions for generic uniqueness of tensor decompositions of multilinear rank (1,L_{1}, L_{1}),..., (1, L_{R}, L_{R}) terms. In geometric language, we prove that the joins of relevant subspace varieties are not tangentially weakly defective. We also give conditions for partial uniqueness of block term tensor decompositions by proving that the joins of relevant subspace varieties are not defective.

Keywords

Cite

@article{arxiv.1301.0920,
  title  = {On partial and generic uniqueness of block term tensor decompositions},
  author = {Ming Yang},
  journal= {arXiv preprint arXiv:1301.0920},
  year   = {2013}
}
R2 v1 2026-06-21T23:04:24.285Z