A Unified Framework of Policy Learning for Contextual Bandit with Confounding Bias and Missing Observations
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Abstract (arXiv)
We study the offline contextual bandit problem, where we aim to acquire an optimal policy using observational data. However, this data usually contains two deficiencies: (i) some variables that confound actions are not observed, and (ii) missing observations exist in the collected data. Unobserved confounders lead to a confounding bias and missing observations cause bias and inefficiency problems. To overcome these challenges and learn the optimal policy from the observed dataset, we present a new algorithm called Causal-Adjusted Pessimistic (CAP) policy learning, which forms the reward function as the solution of an integral equation system, builds a confidence set, and greedily takes action with pessimism. With mild assumptions on the data, we develop an upper bound to the suboptimality of CAP for the offline contextual bandit problem.
Key facts. Cited by 2 papers in the map (data through 14 Oct 2026). Builds on 45 of its 90 references that are in the map. First posted on arXiv 20 Mar 2023.
Builds on
45 of 90 references.
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2 papers.