Author

Jianhao Ma

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Preprint Aug 2026

A lower bound for stepsize-based acceleration of gradient descent

This work presents a new lower bound of $\Omega(T^{-1.9319})$ for the last-iterate convergence rate of gradient descent with predetermined nonnegative stepsize schedules, and provides rigorous evidence that stepsize schedules alone cannot accelerate plain GD to the optimal $O(T^{-2})$ convergence rate.

Jianhao Ma, Yuxin Chen · 1 citation