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math.OC2020
Solving Composite Fixed Point Problems with Block Updates
Patrick L. Combettes, Lilian E. Glaudin
Various strategies are available to construct iteratively a common fixed point of nonexpansive operators by activating only a block of operators at each iteration. In the more chal…
math.OC2018
Variable metric algorithms driven by averaged operators
Lilian E. Glaudin
The convergence of a new general variable metric algorithm based on compositions of averaged operators is established. Applications to monotone operator splitting are presented.
math.OC2018
Proximal Activation of Smooth Functions in Splitting Algorithms for Convex Image Recovery
Patrick L. Combettes, Lilian E. Glaudin
Structured convex optimization problems typically involve a mix of smooth and nonsmooth functions. The common practice is to activate the smooth functions via their gradient and th…