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Conformal Off-Policy Prediction in Contextual Bandits

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arxiv 2206.04405 v2 pith:MYZMJALN submitted 2022-06-09 stat.ML cs.LG

Conformal Off-Policy Prediction in Contextual Bandits

classification stat.ML cs.LG
keywords contextualbanditsconformalguaranteesmethodsoff-policyoutcomepolicy
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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Most off-policy evaluation methods for contextual bandits have focused on the expected outcome of a policy, which is estimated via methods that at best provide only asymptotic guarantees. However, in many applications, the expectation may not be the best measure of performance as it does not capture the variability of the outcome. In addition, particularly in safety-critical settings, stronger guarantees than asymptotic correctness may be required. To address these limitations, we consider a novel application of conformal prediction to contextual bandits. Given data collected under a behavioral policy, we propose \emph{conformal off-policy prediction} (COPP), which can output reliable predictive intervals for the outcome under a new target policy. We provide theoretical finite-sample guarantees without making any additional assumptions beyond the standard contextual bandit setup, and empirically demonstrate the utility of COPP compared with existing methods on synthetic and real-world data.

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