k-lazyGD achieves optimal dynamic regret O(sqrt((P_T+1)T)) in SOCO for laziness k up to Theta(sqrt(T/P_T)).
unlike those results, this bound requires no additional assumptions on the domain or on the magni- tude/direction of the accumulated gradients
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Partially Lazy Gradient Descent for Smoothed Online Learning
k-lazyGD achieves optimal dynamic regret O(sqrt((P_T+1)T)) in SOCO for laziness k up to Theta(sqrt(T/P_T)).