English

On the Symmetric Tensors Completion Problem

Algebraic Geometry 2024-04-16 v1

Abstract

The aim of this elaborate is presenting the classical symmetric tensors completion problem to an audience of graduate students. As main studying tool, we will introduce the theory of hypergraph rigidity which naturally mirrors the problem itself. This has already appeared in literature: in 2023, Cruicksand, Mohammadi, Nixon, and Tanigawa introduced organically the theory of hypergraph rigidity, as a generalization of the usual Euclidean rigidity, and showed how it can be used to mirror several different theoretical problems, including tensor completion.

Keywords

Cite

@article{arxiv.2404.08996,
  title  = {On the Symmetric Tensors Completion Problem},
  author = {Shokhzod Kurokboev},
  journal= {arXiv preprint arXiv:2404.08996},
  year   = {2024}
}

Comments

arXiv admin note: substantial text overlap with arXiv:2305.18990 by other authors

R2 v1 2026-06-28T15:53:20.107Z