English

Rank Approximation of a Tensor with Applications in Color Image and Video Processing

Numerical Analysis 2019-04-30 v1

Abstract

We propose a block coordinate descent type algorithm for estimating the rank of a given tensor. In addition, the algorithm provides the canonical polyadic decomposition of a tensor. In order to estimate the tensor rank we use sparse optimization method using 1\ell_1 norm. The algorithm is implemented on single moving object videos and color images for approximating the rank.

Keywords

Cite

@article{arxiv.1904.12375,
  title  = {Rank Approximation of a Tensor with Applications in Color Image and Video Processing},
  author = {Ramin Goudarzi Karim and Carmeliza Navasca and Da Yan},
  journal= {arXiv preprint arXiv:1904.12375},
  year   = {2019}
}