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A Reduction from Linear Contextual Bandits Lower Bounds to Estimations Lower Bounds

ICML 2022 · Bandits and online learning › Contextual bandits and Thompson sampling · approach: Oracle-efficient contextual bandits

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Reduction: construct estimator from any bandit algorithm, so algorithm regret dominates estimation error (lower bound via estimation lower bounds)stochastic linear contextual bandits · theoretical, 2-armed basic modelregret lower bound orderHelped
Hard instance with stochastic contexts and product-of-circles parameter prior, applied to K-armed problemsK-armed basic model · theoreticalregret lower bound orderHelped
Batch constraint lower bound via reductionbatched linear bandits · stochastic contexts, batch constraintregret lower bound orderNo clear effect

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