2 citations · 3 across the 3 of their papers we have counts for
5 papers
Generalized Alternating Projections on Manifolds and Convex Sets
Mattias Fält, Pontus Giselsson
In this paper, we extend the previous convergence results for the generalized alternating projection method applied to subspaces in [arXiv:1703.10547] to hold also for smooth manif…
Optimal Convergence Rates for Generalized Alternating Projections
Mattias Fält, Pontus Giselsson
Generalized alternating projections is an algorithm that alternates relaxed projections onto a finite number of sets to find a point in their intersection. We consider the special…
Line Search For Generalized Alternating Projections
Mattias Fält, Pontus Giselsson
This paper is about line search for the generalized alternating projections (GAP) method. This method is a generalization of the von Neumann alternating projections method, where i…
Envelope Functions: Unifications and Further Properties
Pontus Giselsson, Mattias Fält
Recently, the forward-backward and Douglas-Rachford envelope functions were proposed in the literature. The stationary points of these envelope functions have a close relationship…
Line Search for Averaged Operator Iteration
Pontus Giselsson, Mattias Fält, Stephen Boyd
Many popular first order algorithms for convex optimization, such as forward-backward splitting, Douglas-Rachford splitting, and the alternating direction method of multipliers (AD…