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Aaron Zoll

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Preprint Jul 2026

A Complete Characterization of Optimal Subgradient Methods for Lipschitz Convex Minimization

We consider the design of optimal fixed-step first-order methods for $M$-Lipschitz convex optimization given $\|x_0-x_\star\|\leq D$. Prior works have identified several distinct fixed-step methods, parameterized by a matrix of stepsizes $W$, with the (information-theoretic) minimax optimal rate $MD/\sqrt{N+1}$ of obje...

Aaron Zoll, Benjamin Grimmer · 2 citations · ⚡1

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