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 only remains to show an improved bound on the step-sizes from line-search for allt ≥ tδ due to L∗-smoothness over theδ + f∗ sub-level set
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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.