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math.OC2026
Stronger Lower Bounds for (Non-)Anytime Acceleration of Gradient Descent
Minchan Jung, Hanseul Cho, Chulhee Yun
The rate-optimal convergence rate of gradient descent (GD) with a fixed step-size is well known to be for -Lipschitz smooth convex objectives in the prior art in con…
math.OC2024
Fundamental Benefit of Alternating Updates in Minimax Optimization
Jaewook Lee, Hanseul Cho, Chulhee Yun
The Gradient Descent-Ascent (GDA) algorithm, designed to solve minimax optimization problems, takes the descent and ascent steps either simultaneously (Sim-GDA) or alternately (Alt…