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math.OC2024
Exact Convergence rate of the subgradient method by using Polyak step size
Moslem Zamani, François Glineur
This paper studies the last iterate of subgradient method with Polyak step size when applied to the minimization of a nonsmooth convex function with bounded subgradients. We show t…
math.OC2024
On the Set of Possible Minimizers of a Sum of Convex Functions
Moslem Zamani, François Glineur, Julien M. Hendrickx
Consider a sum of convex functions, where the only information known about each individual summand is the location of a minimizer. In this work, we give an exact characterization o…