Deng Kangkang

An inexact augmented Lagrangian method for nonsmooth optimization on Riemannian manifold

  • Deng Kangkang
  • Peng Zheng
    • Categories Constrained Nonlinear Optimization, Nonsmooth Optimization

    We consider a nonsmooth optimization problem on Riemannian manifold, whose objective function is the sum of a differentiable component and a nonsmooth convex function. We propose a manifold inexact augmented Lagrangian method (MIALM) for the considered problem. The problem is reformulated to a separable form. By utilizing the Moreau envelope, we get a smoothing subproblem … Read more

    A Bregman alternating direction method of multipliers for sparse probabilistic Boolean network problem

  • Deng Kangkang
  • Peng Zheng
    • Categories Applications - Science and Engineering, Biomedical Applications, Constrained Nonlinear Optimization Tags , , , ,

    The main task of genetic regulatory networks is to construct a sparse probabilistic Boolean network (PBN) based on a given transition-probability matrix and a set of Boolean networks (BNs). In this paper, a Bregman alternating direction method of multipliers (BADMM) is proposed to solve the minimization problem raised in PBN. All the customized subproblem-solvers of … Read more