Junfeng Yang

Alternating Direction Algorithms for $\ell_1hBcProblems in Compressive Sensing

  • Junfeng Yang
  • Yin Zhang
    • Categories Convex and Nonsmooth Optimization, Convex Optimization, Nonsmooth Optimization Tags , , , , ,

    In this paper, we propose and study the use of alternating direction algorithms for several $\ell_1$-norm minimization problems arising from sparse solution recovery in compressive sensing, including the basis pursuit problem, the basis-pursuit denoising problems of both unconstrained and constrained forms, as well as others. We present and investigate two classes of algorithms derived from … Read more

    Alternating direction algorithms for total variation deconvolution in image reconstruction

  • Tao Min
  • Junfeng Yang
    • Categories Convex Optimization, Nonsmooth Optimization, Unconstrained Optimization Tags , , , ,

    Image restoration and reconstruction from blurry and noisy observation is known to be ill-posed. To stabilize the recovery, total variation (TV) regularization was introduced by Rudin, Osher and Fatemi in \cite{LIR92}, which has demonstrated superiority in preserving image edges. However, the nondifferentiability of TV makes the underlying optimization problems difficult to solve. In this paper, … Read more