Accession Number:

ADA595588

Title:

An Accelerated Linearized Alternating Direction Method of Multipliers

Descriptive Note:

Corporate Author:

FLORIDA UNIV GAINESVILLE DEPT OF INDUSTRIAL AND SYSTEMS ENGINEERING

Report Date:

2014-02-01

Pagination or Media Count:

33.0

Abstract:

We present a novel framework, namely AADMM, for acceleration of linearized alternating direction method of multipliers ADMM. The basic idea of AADMM is to incorporate a multi-step acceleration scheme into linearized ADMM. We demonstrate that for solving a class of convex composite optimization with linear constraints, the rate of convergence of AADMM is better than that of linearized ADMM, in terms of their dependence on the Lipschitz constant of the smooth component. Moreover, AADMM is capable to deal with the situation when the feasible region is unbounded, as long as the corresponding saddle point problem has a solution. A backtracking algorithm is also proposed for practical performance.

Subject Categories:

  • Statistics and Probability

Distribution Statement:

APPROVED FOR PUBLIC RELEASE