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Optimal Streaming Algorithms for Multi-Armed Bandits

ICML 2021 · Bandits and online learning › Multi-armed bandits · approach: Best-arm identification in linear bandits

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Randomizing the comparison threshold α (ε/4 with prob 1/(log j+1), else ε/2) in the single-arm ε-BAI algorithmStreaming ε-BAI (Algorithm 1) · sample complexityexpected pullsHelped
Using a single-arm memory and single pass with no assumption on ε (Algorithm 2) versus prior O(k)-memory method requiring ε ≤ Δ_{k+1}Streaming ε-KAI · memory and sample complexitymemoryHelped
Converting exponential-gap elimination to streaming with ε-BAI selection subroutineStreaming BAI (Algorithm 3) · passesnumber of passesHelped

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