Glocal smoothness enables iterate-independent complexity bounds showing line search and adaptive steps outperform fixed steps, with GD+line search sometimes beating accelerated GD.
It follows from monotonicity off(wt) that all subsequent t stay in the region of interest
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Glocal Smoothness: Line search and adaptive step sizes can help in theory too!
Glocal smoothness enables iterate-independent complexity bounds showing line search and adaptive steps outperform fixed steps, with GD+line search sometimes beating accelerated GD.