Month: May 2017

Partial Convolution for Total Variation Deblurring and Denoising by New Linearized Alternating Direction Method of Multipliers with Extension Step

  • Lei Ji
  • Yuan Shen
    • Categories Applications - OR and Management Sciences

    In this paper, we propose a partial convolution model for image delburring and denoising. We also devise a new linearized alternating direction method of multipliers (ADMM) with extension step. On one hand, the computation of its subproblem is dominated by several FFTs, hence its per-iteration cost is low, on the other hand, the relaxed parameter … Read more

    An Alternating Minimization Method for Robust Principal Component Analysis

  • Xin Liu
  • Yuan Shen
  • Hongyu Xu
    • Categories Applications - OR and Management Sciences

    We focus on solving robust principal component analysis (RPCA) arising from various applications such as information theory, statistics, engineering, and etc. We adopt a model to minimize the sum of observation error and sparsity measurement subject to the rank constraint. To solve this problem, we propose a two-step alternating minimization method. In one step, a … Read more

    Optimal threshold classification characteristics

  • David Kisets
    • Categories Basic Sciences Applications, Optimization of Simulated Systems Tags , , ,

    This study looks at the application of mathematical concepts of entropy and Fibonacci sequence in creating optimal dimensional relations of classification character. The paper is devoted to optimization of some numerical relations and integers as unified threshold characteristics of classification type, aimed for example at systemic optimizing the measuring information of various processes. The paper … Read more