中文摘要
预防性医疗应用中,针对异质人群开展量身定制干预的需求日益凸显。受此启发,我们研究模型参数未知情形下在线环境中的多阶段动态决策问题。为应对参数估计中普遍存在的小样本问题,我们提出一种新颖的数据池化强化学习 (RL) 算法,该算法自适应地汇集历史数据,具有三项主要创新:(i) 池化权重直接取决于决策表现 (以后悔值 (regret) 衡量),而非传统方法中的估计精度;(ii) 无需对历史数据与当前数据之间的关系作参数化假设;(iii) 仅需通过汇总统计量共享数据,而非患者层面数据。我们的数据池化算法框架统一了多种强化学习算法,并建立了理论性能保证,量化了相对于基准方法,自适应池化设计所带来的后悔界缩减。我们通过一项以预防非计划再入院为目标的出院后干预案例研究,开展了大量实证实验以验证理论结果,并为医疗健康管理提供了实践启示。我们的算法使组织机构能够利用公开数据或已发表研究开展患者管理,并支持决策者推动汇总数据共享,以改善人群健康结果。本文由 Carri Chan (医疗健康管理) 接收。基金资助:X. Chen 受国家自然科学基金 [项目号 NSFC-72171205 和 NSFC-72394361] 及深圳市科技创新委员会 [项目号 RCXY 20210609103124047] 资助。补充材料:在线附录与数据文件可在 https://doi.org/10.1287/mnsc.2023.03880 获取。
Abstract
Motivated by the emerging needs of tailored intervention for heterogeneous populations in preventative healthcare applications, we consider a multistage, dynamic decision-making problem in the online setting with unknown model parameters. To deal with the pervasive issue of small sample size in parameter estimation, we develop a novel data-pooling reinforcement learning (RL) algorithm that adaptively pools historical data, with three main innovations: (i) the weight of pooling is directly tied to the performance of the decision (measured by regret) as opposed to estimation accuracy in conventional methods; (ii) no parametric assumptions are needed between historical and current data; and (iii) requiring data-sharing only via aggregate statistics, as opposed to patient-level data. Our data-pooling algorithm framework unifies a variety of RL algorithms, and we establish a theoretical performance guarantee that quantifies the regret bound reduction from our adaptive pooling design compared with benchmarks. We substantiate the theoretical development with extensive empirical experiments via a case study in the context of postdischarge intervention to prevent unplanned readmissions, generating practical insights into healthcare management. Our algorithm enables organizations to leverage public data or published studies for patient management and supports policymakers in promoting aggregate data sharing to enhance population health outcomes. This paper was accepted by Carri Chan, healthcare management. Funding: X. Chen was supported by National Natural Science Foundation of China [Grants NSFC-72171205 and NSFC-72394361] and Shenzhen Science and Technology Innovations Committee [Grant RCXY 20210609103124047]. Supplemental Material: The online appendix and data files are available at https://doi.org/10.1287/mnsc.2023.03880 .