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arXiv 2408.09155stat.MEmath.STstat.COstat.MLstat.TH
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学习鲁棒的治疗规则以应对截断数据

Learning Robust Treatment Rules for Censored Data

Zhejiang University(浙江大学);Tsinghua University(清华大学);National University of Singapore(新加坡国立大学);George Washington University(乔治华盛顿大学);New York University(纽约大学)

Yifan Cui, Junyi Liu, Tao Shen, Zhengling Qi, Xi Chen

AI总结:

本文提出两种鲁棒标准,用于学习具有截断生存结果的最优治疗规则,通过截断平均生存时间和缓冲生存概率最大化,结合差分-凸算法进行估计,并在模拟和临床试验中验证其有效性。

摘要:

在估计最优治疗规则方面,已有快速增长的文献直接通过最大化预期结果来实现。在生物医学研究和运营应用中,截断生存结果经常被观察到,此时截断的平均生存时间和生存概率非常值得关注。在本文中,我们提出了两种鲁棒标准,用于学习具有截断生存结果的最优治疗规则;前者针对一个最优治疗规则,该规则通过给定分位数(如中位数)指定的截断来最大化平均生存时间;后者针对一个最优治疗规则,该规则通过调整以考虑截断平均生存时间的预定阈值来最大化缓冲生存概率。我们开发了一种基于采样的差异-凸算法来学习所提出的最优治疗规则,并为它们提供了理论证明。在模拟研究中,我们的估计器相比现有方法表现出改进的性能。我们还使用艾滋病临床试验数据展示了所提出的方法。

英文摘要:

There is a fast-growing literature on estimating optimal treatment rules directly by maximizing the expected outcome. In biomedical studies and operations applications, censored survival outcome is frequently observed, in which case the truncated mean survival time and survival probability are of great interest. In this paper, we propose two robust criteria for learning optimal treatment rules with censored survival outcomes; the former one targets an optimal treatment rule maximizing the truncated mean survival time, where the cutoff is specified by a given quantile such as median; the latter one targets an optimal treatment rule maximizing buffered survival probabilities, where the predetermined threshold is adjusted to account for the truncated mean survival time. We develop a sampling-based difference-of-convex algorithm for learning the proposed optimal treatment rules, and provide theoretical justifications for them. In simulation studies, our estimators show improved performance compared to existing methods. We also demonstrate the proposed method using AIDS clinical trial data.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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