主题:Successive classification learning for estimating quantile optimal treatment regimes
主讲人:多伦多大学统计学孔德含教授
主持人:统计与数据科学学院林华珍教授
时间:2026年6月23日(周二)下午4:00-5:00
地点:柳林校区弘远楼408会议室
主办单位:统计与数据科学学院和统计研究中心 科研处
主讲人简介:
孔德含,多伦多大学统计学教授,美国统计协会(ASA)会士。研究方向包括脑图像,统计遗传和基因组学,函数型数据分析,因果推断,高维数据分析以及机器学习。研究成果发表在统计学国际顶级期刊JRSSB,JASA,Biometrika等,现任统计学期刊JASA副主编。
内容提要:
Quantile optimal treatment regimes (OTRs) aim to assign treatments that maximize a specified quantile of patients' outcomes. Compared to treatment regimes that target the mean outcomes, quantile OTRs offer fairer regimes when a lower quantile is selected, as it improves outcomes for vulnerable patients. In this paper, we propose a novel method for estimating quantile OTRs by reformulating the problem as a successive classification task, solvable via training a sequence of classifiers, each successive classifier built on the output of its predecessors. This reformulation enables us to leverage the powerful machine learning technique to enhance computational efficiency and handle complex decision boundaries. We also investigate the estimation of quantile OTRs when outcomes are discrete, a setting that has received limited attention in the literature. A key challenge is that direct extensions of existing methods to discrete outcomes often lead to inconsistency and ineffectiveness issues. To overcome this, we introduce a smoothing technique that maps discrete outcomes to continuous surrogates, enabling consistent and effective estimation. We provide theoretical guarantees to support our methodology, and demonstrate its superior performance through comprehensive simulation studies and real-data analysis.