[PDF] Top 20 On the Primal Dual Method of Multipliers and its Applications

... We propose a new processing architecture for distributed image fu- sion (which will work in both the WSN and antenna array examples dis- cussed above) based on elementwise general form consensus [15] using the ... See full document

... such applications the central task is to compute the global average of agents’ data in a distributed ...direction method of multipliers (ADMM) for networked applications, and in particular, ... See full document

... Related Work. The design of dynamic algorithms is one of the classic ar- eas in theoretical computer science with a countless number of applications. Dynamic graph algorithms have received special attention, and ... See full document

... stochastic primal-dual algorithm with explicit gradient steps that allows for larger step-sizes by averaging over previous iterates, however, this comes at the cost of prohibitively large memory ...a ... See full document

... e k ∈ R m k , C k ∈ R p×n k and d ∈ R p yield the coupling constraints. Problems in the form (1) arise in many applications of optimization and optimal control. They arise when Nonlinear Programs with decomposable ... See full document

... We also show in Appendix A that Algorithm 8 with U k = ∅ for all k ≥ 0 is equivalent to a semi-smooth Newton method. Hinterm¨ uller, Ito, and Kunisch state similar results for the case m = 0. It should be noted, ... See full document

... Arrow-Hurwicz method achieves much faster convergence, although a theoretical justification of the acceleration is still ...Arrow-Hurwicz method, apparently yield a similar acceleration, but a proof is ... See full document

... We describe several practical applications in which the problem of scheduling t-intervals with demands arises. First, consider a multimedia-on-demand system with a limited bandwidth through which movies are ... See full document

... the dual separability of the problem ...all dual variables in parallel, in each iteration only a randomly selected subset of the dual variables are ...Despite its randomness, it is still ... See full document

... x ≥ 10 −5 are inconsistent around x = 0. Therefore if an initial guess x 0 = 0 the algorithm stays in the neigh- borhood of 0 and never converges to a feasible point. We believe that in similar situation, most of ... See full document

... International Journal of Emerging Technology and Advanced Engineering Website: www.ijetae.com (ISSN 2250-2459, ISO 9001:2008 Certified Journal, Volume 3, Issue 3, March 2013) 553 In order to reduce the size of an image, ... See full document

... point method should not be considered as a direct comparison between the two solvers for many ...in its interior point ...uses its own default initial point and does not use a warm-start ... See full document

... point method makes this approach seldom practical for real-world ...directions method of multipliers) and their variants [7, 8, 9, 10] dominate these application ... See full document

... 4.2. Isolation of the KKT trajectory. In Section 2, we remarked that there could be multiple trajectories of KKT points, and z ∗ (t) = (x ∗ (t), λ ∗ (t)) is only one of these trajectories that is chosen arbitrarily. Then ... See full document

... our method proposes to enhance the representation of fluid particles by constructing, at every time frame, a cell complex {V i } i that tessellates the domain Ω based on the current location of the material ...to ... See full document

... Frank-Wolfe method, which has optimal convergence rate guar- antees for this problem, and its line-search ...power method. All methods use the same power method subroutine, which is ... See full document

... subgradient method is proposed, and in [9] this idea is extended to the projected subgradient ...show its application to distributed optimization where F i = f i + g i , but no composition with a linear ... See full document

... the primal-dual algorithm and the alternating direction method of multipliers (ADMM) to solve ill-posed inverse imaging ...convex method for imaging, which is based on the principle ... See full document

... efficient primal-dual methods when the primal and the dual cones are endowed with independent self-concordant barriers 1) ...asymmetric primal-dual barrier augmented by squared ... See full document

... line-search method and trust-region method. Trust-region method is robust with strong convergence property, and unlike line-search method where inertia of the Hessian matrix might need to be ... See full document