iterative hard thresholding

Improved RIP-Based Bounds for Guaranteed Performance of Two Compressed Sensing Algorithms

  • Yun-Bin Zhao
  • Zhi-Quan Luo
    • Categories Constrained Nonlinear Optimization, Global Optimization Applications, Nonsmooth Optimization Tags , , , ,

    Iterative hard thresholding (IHT) and compressive sampling matching pursuit (CoSaMP) are two mainstream compressed sensing algorithms using the hard thresholding operator. The guaranteed performance of the two algorithms for signal recovery was mainly analyzed in terms of the restricted isometry property (RIP) of sensing matrices. At present, the best known bound using RIP of order … Read more

    Discrete Optimization Methods for Group Model Selection in Compressed Sensing

  • Bubacarr Bah
  • Jannis Kurtz
  • Oliver Schaudt
    • Categories Applications - Science and Engineering, Combinatorial Optimization, Integer Programming Tags , , ,

    In this article we study the problem of signal recovery for group models. More precisely for a given set of groups, each containing a small subset of indices, and for given linear sketches of the true signal vector which is known to be group-sparse in the sense that its support is contained in the union … Read more