English

When is P such that l_0-minimization Equals to l_p-minimization

Information Theory 2015-11-25 v1 math.IT

Abstract

In this paper, we present an analysis expression of p(A,b) such that the unique solution to l_0-minimization also can be the unique solution to l_p-minimization for any 0<p<p(A,b). Furthermore, the main contribution of this paper isn't only the analysis expressed of such p^(A,b) but also its proof. Finally, we display the results of two examples to confirm the validity of our conclusions

Keywords

Cite

@article{arxiv.1511.07628,
  title  = {When is P such that l_0-minimization Equals to l_p-minimization},
  author = {Changlong Wang and Shigang Yue and Jigen Peng},
  journal= {arXiv preprint arXiv:1511.07628},
  year   = {2015}
}

Comments

16 pages, 3 figures