9 papers
Strong Convergence of FISTA for Affinely Constrained Convex Quadratic Minimization
Sedi Bartz, Heinz H. Bauschke, Yuan Gao +1
In October 2025, research by BoÅ£, 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 t…
Eckstein-Ferris-Pennanen-Robinson duality revisited: paramonotonicity, total Fenchel-Rockafellar duality, and the Chambolle-Pock operator
Heinz H. Bauschke, Walaa M. Moursi, Shambhavi Singh
Finding zeros of the sum of two maximally monotone operators involving a continuous linear operator is a central problem in optimization and monotone operator theory. We revisit th…
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…
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…
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…
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…