quadratic approximation

An inexact successive quadratic approximation method for a class of difference-of-convex optimization problems

  • Tianxiang Liu
  • Akiko Takeda
    • Categories Nonlinear Optimization, Nonsmooth Optimization Tags , , ,

    In this paper, we propose a new method for a class of difference-of-convex (DC) optimization problems, whose objective is the sum of a smooth function and a possibly non-prox-friendly DC function. The method sequentially solves subproblems constructed from a quadratic approximation of the smooth function and a linear majorization of the concave part of the … Read more

    ACQUIRE: an inexact iteratively reweighted norm approach for TV-based Poisson image restoration

  • Daniela di Serafino
  • Germana Landi
  • Marco Viola
    • Categories Applications - Science and Engineering, Convex and Nonsmooth Optimization Tags , , , ,

    We propose a method, called ACQUIRE, for the solution of constrained optimization problems modeling the restoration of images corrupted by Poisson noise. The objective function is the sum of a generalized Kullback-Leibler divergence term and a TV regularizer, subject to nonnegativity and possibly other constraints, such as flux conservation. ACQUIRE is a line-search method that … Read more