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Model Selection for Contextual Bandits

NeurIPS 2019 · Bandits and online learning › Contextual bandits and Thompson sampling · approach: Oracle-efficient contextual bandits · 40 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Adapt the active policy class using the residual-gap test and uniform explorationModCB · Realizable nested linear contextual banditsregret: \tilde{O}\prn{T^{2/3}d^{1/3}_{m^\star}}Helped
Tune the exploration schedule with κ=1/4 rather than κ=1/3ModCB · Realizable nested linear contextual banditsregret: \tilde{O}(T^{3/4} + \sqrt{Td_{m^\star}})Mixed
Preprocess the feature maps to at most log(T) classesModCB · Realizable nested linear contextual banditsregret dependence on m*: from polynomial dependence on m^{\star} to a single \log(T) factorHelped
Use the residual-gap estimator instead of a plug-in estimatorEstimateResidual · Square-loss gap estimationestimation error rate: \tilde{O}(\nicefrac{d}{n}) -> \tilde{O}(\nicefrac{\sqrt{d}}{n})Helped
Use ModCB with ILTCB rather than LinUCB on the ambient feature dimensionSynthetic contextual bandit · K=2, d=1000, d_{m*}=10cumulative regretHelped
Use ModCB with ILTCB rather than the oracle ILTCB that knows d_{m*}Synthetic contextual bandit · K=2, d=1000, d_{m*}=10cumulative regretHelped

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