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20152018
most citedNonconvex set intersection problems: From projection methods to the Newton method for super-regular sets

3 citations · 8 across the 5 of their papers we have counts for

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12 papers · 1 filter

math.OC2018

Linear convergence of distributed Dykstra's algorithm for sets under an intersection property

C. H. Jeffrey Pang

We show the linear convergence of Dykstra's algorithm for sets intersecting in a manner slightly stronger than the usual constraint qualifications.

math.OC2018

Linear convergence of a dual optimization formulation for distributed optimization on directed graphs with unreliable communications

C. H. Jeffrey Pang

This work builds on our recent work on a distributed optimization algorithm for graphs with directed unreliable communications. We show its linear convergence when we take either t…

math.OC2018

Convergence rate of distributed Dykstra's algorithm with sets defined as level sets of convex functions

C. H. Jeffrey Pang

We investigate the convergence rate of the distributed Dykstra's algorithm when some of the sets are defined as the level sets of convex functions. We carry out numerical experimen…

math.OC2018

A dual ascent algorithm for asynchronous distributed optimization with unreliable directed communications

C. H. Jeffrey Pang

We show that the averaged consensus algorithm on directed graphs with unreliable communications by Bof-Carli-Schenato has a dual optimization interpretation, which could be extende…

math.OC2018

Linear and sublinear convergence rates for a subdifferentiable distributed deterministic asynchronous Dykstra's algorithm

C. H. Jeffrey Pang

In two earlier papers, we designed a distributed deterministic asynchronous algorithm for minimizing the sum of subdifferentiable and proximable functions and a regularizing quadra…

math.OC2018

Subdifferentiable functions and partial data communication in a distributed deterministic asynchronous Dykstra's algorithm

C. H. Jeffrey Pang

We described a decentralized distributed deterministic asynchronous Dykstra's algorithm that allows for time-varying graphs in an earlier paper. In this paper, we show how to incor…