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Proportional Response: Contextual Bandits for Simple and Cumulative Regret Minimization

NeurIPS 2023 · Bandits and online learning › Contextual bandits and Thompson sampling · approach: Oracle-efficient contextual bandits · 2 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Increase the trade-off parameter ωω-RAPR · Stochastic contextual banditssimple regret: O(1/\sqrt{\omega})Helped
Increase the trade-off parameter ωω-RAPR · Stochastic contextual banditscumulative regret: O(\sqrt{\omega})Hurt
Use ω=1 rather than a larger trade-off settingω-RAPR · Stochastic contextual banditscumulative regret: \sqrt{\omega}Helped
Use ω=Kω-RAPR · Stochastic contextual bandits with few Δ-optimal armssimple regret: \tilde{\mathcal{O}}(\sqrt{(A+K\lambda)d/T})Helped
Use conformal arm sets with proportional-response sampling and risk adjustmentω-RAPR · Stochastic contextual banditssimple regret: O(1/\sqrt{\omega})Helped
Require instance-dependent simple regret while retaining minimax-optimal cumulative regretContextual bandit algorithms · Instances with (A,λ,Δ)=(1,0,0.24)cumulative regret: \Tilde{\Omega}( \sqrt{K/\phi} \sqrt{KT\log F} )Hurt
Apply RAPR in the reported simulation settingRAPR · R² context space, eight arms, linear models, horizon 5000runtime: less than 9 secondsHelped

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