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Federated Online and Bandit Convex Optimization

ICML 2023 · Bandits and online learning › Online convex optimization and games · approach: Dynamic and adaptive regret · 0 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Collaboration via communication (vs. independent OGD per machine) under first-order feedbackdistributed OGD on Lipschitz and smooth convex functions against adaptive adversary · adaptive adversary, intermittent communicationmin-max average regretNo clear effect
Add the one-point projected bandit gradient estimator with unprojected lazy update (FedPOSGD)federated adversarial linear bandits · adversarial linear bandits, high dimension daverage regret boundHelped
Switch from one-point to two-point bandit feedback (FedOSGD)federated adversarial linear bandits · adversarial linear banditsregret bound dependence on d and ζHelped
Collaboration with two-point feedback (FedOSGD) vs non-collaborative baselinefederated linear bandits / Lipschitz convex bandits · high dimension d >= K^2 M^2average regretHelped
Small heterogeneity ζ in the two-point bound for linear functionsFedOSGD on linear functions · adversarial linear banditsaverage regret boundHelped
Small heterogeneity ζ in FedPOSGD boundFedPOSGD · adversarial linear bandits, high dimensionaverage regret boundNo clear effect

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