math.OC · 2026-06-24 · No. 33

Optimization and Control, 2026-06-24.

1 new papers in math.OC. Titles, authors, abstracts. Links to arXiv. Want this in your inbox every morning? Subscribe →

01 — The papers

1 entries
  1. 01

    New Bounds for the Last Iterate of the Stochastic subGradient Method

    Guglielmo Beretta, Tommaso Cesari, Roberto Colomboni, Andrea Paudice

    math.OC · cs.LG

    We study the last iterate of the stochastic subgradient method for one-dimensional convex Lipschitz objectives. For a fixed horizon $n$, we consider the standard fixed stepsizes $η=Θ(1/\sqrt n)$. We prove that, for such stepsize policies, under additive i.i.d. subgradient noise with uniformly bounded variance, the last iterate features an optimization error of order $1/\sqrt n$, thereby removing the extra $(\log n)$ factor present in existing...

    arxiv.org/abs/2606.24879 · PDF

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