activity
20122026
most citedThe Douglas-Rachford algorithm in the affine-convex case

21 citations · 44 across the 40 of their papers we have counts for

collaborators

46 papers

math.OC2026

Strong Convergence of FISTA for Affinely Constrained Convex Quadratic Minimization

Sedi Bartz, Heinz H. Bauschke, Yuan Gao +1

In October 2025, research by Boţ, Fadili, and Nguyen, and by Jang and Ryu, led to the seminal result that Beck and Teboulle's FISTA converges weakly to a minimizer of the sum of tw…

math.OC2026

Understanding FISTA's weak convergence: A step-by-step introduction to the 2025 milestone

Heinz H. Bauschke, Walaa M. Moursi

Beck and Teboulle's FISTA for finding the minimizer of the sum of two convex functions is one of the most important algorithms of the past decades. While function value convergence…

eess.IV2026

Automated Disentangling Analysis of Skin Colour for Lesion Images

Wenbo Yang, Eman Rezk, Walaa M. Moursi +1

Machine-learning models applied to skin images often have degraded performance when the skin colour captured in images (SCCI) differs between training and deployment. These discrep…

math.OC2026

Best Approximation Optimal Control for Infeasible Double Integrator and Douglas--Rachford Algorithm

Regina S. Burachik, Bethany I. Caldwell, C. Yalçın Kaya +1

We consider the problem of finding (in some sense) the best approximation control for an infeasible double integrator. The control function is constrained by upper and lower bounds…

math.OC2025

Accelerated Proximal Gradient Methods in the affine-quadratic case: Strong convergence and limit identification

Walaa M. Moursi, Andrew Naguib, Viktor Pavlovic +1

Recent works by Bot-Fadili-Nguyen (arXiv:2510.22715) and by Jang-Ryu (arXiv:2510.23513) resolve long-standing iterate convergence questions for accelerated (proximal) gradient meth…

math.OC2025

A necessary condition for the guarantee of the superiorization method

Kay Barshad, Yair Censor, Walaa Moursi +2

We study a method that involves principally convex feasibility-seeking and makes secondary efforts of objective function value reduction. This is the well-known superiorization met…