Iman Shames

Optimal parameter selection for the alternating direction method of multipliers (ADMM): quadratic problems

  • Euhanna Ghadimi
  • Mikael Johansson
  • Iman Shames
  • AndrĂ© Teixeira
    • Categories Convex Optimization, Quadratic Programming Tags , ,

    The alternating direction method of multipliers (ADMM) has emerged as a powerful technique for large-scale structured optimization. Despite many recent results on the convergence properties of ADMM, a quantitative characterization of the impact of the algorithm parameters on the convergence times of the method is still lacking. In this paper we find the optimal algorithm … Read more

    Optimal scaling of the ADMM algorithm for distributed quadratic programming

  • Euhanna Ghadimi
  • Mikael Johansson
  • Henrik Sandberg
  • Iman Shames
  • AndrĂ© Teixeira
    • Categories Network Optimization, Quadratic Programming Tags ,

    This paper presents optimal scaling of the alternating directions method of multipliers (ADMM) algorithm for a class of distributed quadratic programming problems. The scaling corresponds to the ADMM step-size and relaxation parameter, as well as the edge-weights of the underlying communication graph. We optimize these parameters to yield the smallest convergence factor of the algorithm. … Read more