English

On Weighted Low-Rank Approximation

Applications 2013-02-05 v1

Abstract

Our main interest is the low-rank approximation of a matrix in R^m.n under a weighted Frobenius norm. This norm associates a weight to each of the (m x n) matrix entries. We conjecture that the number of approximations is at most min(m, n). We also investigate how the approximations depend on the weight-values.

Keywords

Cite

@article{arxiv.1302.0360,
  title  = {On Weighted Low-Rank Approximation},
  author = {William Rey},
  journal= {arXiv preprint arXiv:1302.0360},
  year   = {2013}
}

Comments

13 pages

R2 v1 2026-06-21T23:19:37.351Z