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Distributed Linear Bandits under Communication Constraints

ICML 2023 · Bandits and online learning › Online convex optimization and games · approach: Best-of-both-worlds bandit algorithms · 0 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Progressively learn and share reward-vector information one bit per coordinate at a timeDistributed linear bandits with PLS · Distributed linear banditscumulative regret: \mathcal{O}(d\sqrt{MT})Helped
Progressively learn and share reward-vector information one bit per coordinate at a timeDistributed linear bandits with PLS · Distributed linear banditsuplink communication: \mathcal{O}(d \log T)Helped
Progressively learn and share reward-vector information one bit per coordinate at a timeDistributed linear bandits with PLS · Distributed linear banditsdownlink communication: \mathcal{O}(d(\log M + \log T))Helped
Replace orthonormal-basis exploration with sparse random projections and use server-side LASSO (ablation)PLS · Sparse distributed linear banditscumulative regret: \mathcal{O}(d\sqrt{MT}) -> \sqrt{sdMT}Helped
Replace orthonormal-basis exploration with sparse random projections and use server-side LASSO (ablation)PLS · Sparse distributed linear banditsuplink communication: \mathcal{O}(d \log T) -> \mathcal{O}(s \log T)Helped

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