the weighted $\ell_r-\ell_1$ minimization

The Null Space Property of the Weighted $\ell_r-\ell_1$ Minimization

  • Jianwen Huang
  • Xinling Liu
    • Categories Data-Mining, Nonsmooth Optimization, Robust Optimization Tags , , ,

    The null space property (NSP), which relies merely on the null space of the sensing matrix column space, has drawn numerous interests in sparse signal recovery. This article studies NSP of the weighted $\ell_r-\ell_1$ minimization. Several versions of NSP of the weighted $\ell_r-\ell_1$ minimization including the weighted $\ell_r-\ell_1$ NSP, the weighted $\ell_r-\ell_1$ stable NSP, the … Read more