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Linear Contextual Bandits with Knapsacks

NeurIPS 2016 · Bandits and online learning › Contextual bandits and Thompson sampling · approach: Oracle-efficient contextual bandits · 60 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Compare linCBwK regret bound to unstructured general contextual bandit with knapsacks approach (Agrawal & Devanur 2016), replacing sqrt(K log|Pi|) factor with mlinear contextual bandits with knapsacks · theoretical regret boundregret bound dependenceHelped
Require budget B > m T^{3/4} (instead of arbitrary budgets) for the near-optimal boundlinCBwK algorithm · theoretical regret boundregret bound validity rangeHurt
Estimate Z from first T0 rounds of exploration (T0 = sqrt(T)) rather than given ZlinCBwK algorithm · theoretical regret boundregret boundNo clear effect

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