Off-Policy Confidence Interval Estimation with Confounded Markov Decision Process
存在混杂的马尔可夫决策过程中的离线策略价值置信区间估计AI 解读 ↓
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AI 根据所提供的论文材料归类:摘要直接研究未测量混杂下的策略价值识别,以及基于观察数据的估计和置信区间。
存在混杂的马尔可夫决策过程中的离线策略价值置信区间估计AI 解读 ↓
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This article is concerned with constructing a confidence interval for a target policy’s value offline based on a pre-collected observational data in infinite horizon settings. Most of the existing works assume no unmeasured variables exist that confound the observed actions. This assumption, however, is likely to be violated in real applications such as healthcare and technological industries. In this article, we show that with some auxiliary variables that mediate the effect of actions on the system dynamics, the target policy’s value is identifiable in a confounded Markov decision process. Based on this result, we develop an efficient off-policy value estimator that is robust to potential model misspecification and provide rigorous uncertainty quantification. Our method is justified by theoretical results, simulated and real datasets obtained from ridesharing companies. A Python implementation of the proposed procedure is available at https://github.com/Mamba413/cope.