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Studies often report estimates of the average treatment effect. While the ATE summarizes the effect of a treatment on average, it does not provide any information about the effect of treatment within any individual. A treatment strategy…

Methodology · Statistics 2025-06-13 Nicholas T. Williams , Katherine L. Hoffman Iván Díaz , Kara E. Rudolph

Given an (optimal) dynamic treatment rule, it may be of interest to evaluate that rule -- that is, to ask the causal question: what is the expected outcome had every subject received treatment according to that rule? In this paper, we study…

Methodology · Statistics 2021-10-27 Lina Montoya , Jennifer Skeem , Mark van der Laan , Maya Petersen

The optimal strategy for deploying a treatment in a population may recommend giving all in the population that treatment. Such a strategy may not be feasible, especially in resource-limited settings. One approach for determining how to…

Applications · Statistics 2025-02-21 Lina M. Montoya , Elvin H. Geng , Harriet F. Adhiambo , Maya L. Petersen

Dynamic treatment regimes (DTRs) are used in medicine to tailor sequential treatment decisions to patients by considering patient heterogeneity. Common methods for learning optimal DTRs, however, have shortcomings: they are typically based…

Machine Learning · Statistics 2023-06-21 Theresa Blümlein , Joel Persson , Stefan Feuerriegel

Dynamic treatment regimes (DTRs) are sequences of decision rules designed to tailor treatment based on patients' treatment history and evolving disease status. Ordinal outcomes frequently serve as primary endpoints in clinical trials and…

Methodology · Statistics 2025-03-11 Xinru Wang , Tanujit Chakraborty , Bibhas Chakraborty

Public policies and medical interventions often involve dynamic treatment assignments, in which individuals receive a sequence of interventions over multiple stages. We study the statistical learning of optimal dynamic treatment regimes…

Methodology · Statistics 2025-05-21 Shosei Sakaguchi

Dynamic treatment regimens (DTRs) aim at tailoring individualized sequential treatment rules that maximize cumulative beneficial outcomes by accommodating patients' heterogeneity in decision-making. For many chronic diseases including type…

Methodology · Statistics 2024-04-23 Mochuan Liu , Yuanjia Wang , Haoda Fu , Donglin Zeng

Dynamic treatment regimes (DTR) are sequential decision rules corresponding to several stages of intervention. Each rule maps patients' covariates to optional treatments. The optimal dynamic treatment regime is the one that maximizes the…

Methodology · Statistics 2023-10-10 Zhishuai Liu , Zishu Zhan , Jian Liu , Danhui Yi , Cunjie Lin , Yufei Yang

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…

Methodology · Statistics 2026-01-07 Junwen Xia , Jingxiao Zhang , Dehan Kong

Dynamic treatment regimens (DTRs) are sequential decision rules tailored at each stage by potentially time-varying patient features and intermediate outcomes observed in previous stages. The complexity, patient heterogeneity and chronicity…

Methodology · Statistics 2016-11-09 Ying Liu , Yuanjia Wang , Michael R. Kosorok , Yingqi Zhao , Donglin Zeng

We consider estimation of an optimal individualized treatment rule from observational and randomized studies when a high-dimensional vector of baseline variables is available. Our optimality criterion is with respect to delaying expected…

Methodology · Statistics 2017-11-09 Iván Díaz , Oleksandr Savenkov , Karla Ballman

An optimal dynamic treatment regime (DTR) is a sequence of decision rules aimed at providing the best course of treatments individualized to patients. While conventional DTR estimation uses longitudinal data, such data can also be…

Methodology · Statistics 2025-02-06 Larry Dong , Eleanor Pullenayegum , Rodolphe Thiébaut , Olli Saarela

When an optimal treatment regime (OTR) is considered, we need to evaluate the OTR in a valid and efficient way. The classical inference applied to the mean outcome under OTR, assuming the OTR is the same as the estimated OTR, might be…

Methodology · Statistics 2026-04-21 Shuoxun Xu , Xinzhou Guo

Dynamic treatment regimes (DTRs) are sequences of functions that formalize the process of precision medicine. DTRs take as input patient information and output treatment recommendations. A major focus of the DTR literature has been on the…

Methodology · Statistics 2024-02-21 Dylan Spicker , Michael P. Wallace , Grace Y. Yi

An individualized treatment rule (ITR) tailors treatments to a patient's specific characteristics. However, randomized controlled trials (RCTs) are often underpowered to detect the treatment effect heterogeneity needed for reliable ITR…

Methodology · Statistics 2026-04-14 Yuan Bian , Donglin Zeng , Hyun-Joon Yang , Leanne M. Williams , Yuanjia Wang

ODTLearn is an open-source Python package that provides methods for learning optimal decision trees for high-stakes predictive and prescriptive tasks based on the mixed-integer optimization (MIO) framework proposed in (Aghaei et al., 2021)…

Machine Learning · Statistics 2025-09-03 Patrick Vossler , Sina Aghaei , Nathan Justin , Nathanael Jo , Andrés Gómez , Phebe Vayanos

Optimal treatment regimes (OTR) are individualised treatment assignment strategies that identify a medical treatment as optimal given all background information available on the individual. We discuss Bayes optimal treatment regimes…

The study of precision medicine involves dynamic treatment regimes (DTRs), which are sequences of treatment decision rules recommended by taking patient-level information as input. The primary goal of the DTR study is to identify an optimal…

Methodology · Statistics 2024-12-11 Dan Liu , Wenqing He

An optimal dynamic treatment regime (DTR) consists of a sequence of decision rules in maximizing long-term benefits, which is applicable for chronic diseases such as HIV infection or cancer. In this paper, we develop a novel angle-based…

Methodology · Statistics 2020-01-15 Fei Xue , Yanqing Zhang , Wenzhuo Zhou , Haoda Fu , Annie Qu

Dynamic treatment regimes (DTRs) are personalized, adaptive, multi-stage treatment plans that adapt treatment decisions both to an individual's initial features and to intermediate outcomes and features at each subsequent stage, which are…

Machine Learning · Statistics 2022-09-22 Yichun Hu , Nathan Kallus
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