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Revisiting Smoothed Online Learning

NeurIPS 2021 · Bandits and online learning › Online convex optimization and games · approach: Parameter-free non-stationary online learning · 4 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Minimize hitting cost alone instead of using OBDSmoothed online learning with α-polyhedral hitting costs · α-polyhedral functionscompetitive ratio: 3+\frac{8}{\alpha} -> max(1, \frac{2}{\alpha})Helped
Minimize hitting cost alone rather than use the earlier naive boundSmoothed online learning with α-polyhedral hitting costs · α-polyhedral functionscompetitive ratio: 1+ \frac{2}{\alpha} -> \max(1, \frac{2}{\alpha})Helped
Minimize hitting cost alone rather than use the earlier naive boundSmoothed online learning with λ-quadratic growth hitting costs · λ-quadratic growth functionscompetitive ratio: \max(1+\frac{6}{\lambda},4) -> 1 + \frac{4}{\lambda}Helped
Add a weighted switching-cost term to the greedy objectiveNaive Approach on convex λ-quadratic growth functions · Convex λ-quadratic growth functionscompetitive ratio: 1 + \frac{4}{\lambda} -> 1 + \frac{2}{\sqrt{\lambda}}Helped
Add switching cost to the loss used for expert weightingAder for dynamic regret with switching cost · Convex functions with bounded gradients and bounded domaindynamic regret with switching cost: O\left(\sqrt{T(1+P_T)} \right)Helped
Use hitting-cost lookahead and greedy experts, removing the bounded-gradient requirementSAder · Convex functions with known hitting costs and bounded domaindynamic regret with switching cost: O\left(\sqrt{T(1+P_T)} \right)Helped
Ignore the switching cost when choosing actions (ablation)Greedy approach for α-polyhedral hitting costs · α-polyhedral functionscompetitive ratio: max(1, \frac{2}{\alpha})Helped
Ignore the switching cost when choosing actions (ablation)Greedy approach for λ-quadratic growth hitting costs · λ-quadratic growth functionscompetitive ratio: 1 + \frac{4}{\lambda}Helped

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