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math.OC2026
A Simple Complexity Lower Bound for Solving
Ohad Shamir
In this note, we provide a short and direct proof that approximately solving to relative error , where has condition number and unrestricted dimension,…
cs.DS2026
Stronger Memory-Query Tradeoffs for Convex Optimization: The Limitations of Subquadratic Memory
Michael Menart, Aleksandar Nikolov, Ohad Shamir
We prove two lower bounds for the first order oracle complexity of minimizing a -dimensional -Lipschitz convex function over the unit ball with bits of memory. We first s…