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Clinical trials often aim to compare a new drug with a reference treatment in terms of efficacy and/or toxicity depending on covariates such as, for example, the dose level of the drug. Equivalence of these treatments can be claimed if the…

Methodology · Statistics 2019-10-22 Holger Dette , Kathrin Möllenhoff , Frank Bretz

We consider evaluating the causal effects of dynamic treatments, i.e. of multiple treatment sequences in various periods, based on double machine learning to control for observed, time-varying covariates in a data-driven way under a…

Econometrics · Economics 2021-06-22 Hugo Bodory , Martin Huber , Lukáš Lafférs

Patients with chronic diseases often receive treatments at multiple time points, or stages. Our goal is to learn the optimal dynamic treatment regime (DTR) from longitudinal patient data. When both the number of stages and the number of…

Statistics Theory · Mathematics 2025-05-26 Nilanjana Laha , Nilson Chapagain , Victoria Cicherski , Aaron Sonabend-W

Recent development in the data-driven decision science has seen great advances in individualized decision making. Given data with individual covariates, treatment assignments and outcomes, policy makers best individualized treatment rule…

Machine Learning · Statistics 2020-06-29 Weibin Mo , Zhengling Qi , Yufeng Liu

We propose a new estimator for average causal effects of a binary treatment with panel data in settings with general treatment patterns. Our approach augments the popular two-way-fixed-effects specification with unit-specific weights that…

Econometrics · Economics 2024-03-06 Dmitry Arkhangelsky , Guido W. Imbens , Lihua Lei , Xiaoman Luo

A core component of precision medicine research involves optimizing individualized treatment rules (ITRs) based on patient characteristics. Many studies used to estimate ITRs are longitudinal in nature, collecting outcomes over time. Yet,…

Methodology · Statistics 2024-05-29 Lanqiu Yao , Thaddeus Tarpey

There has been significant attention given to developing data-driven methods for tailoring patient care based on individual patient characteristics. Dynamic treatment regimes formalize this through a sequence of decision rules that map…

Methodology · Statistics 2022-02-22 Eric J. Rose , Erica E. M. Moodie , Susan Shortreed

Integrative analysis of multiple datasets for estimating optimal individualized treatment rules (ITRs) can enhance decision efficiency. A central challenge is posterior shift, wherein the conditional distribution of potential outcomes given…

Machine Learning · Statistics 2026-03-09 Wenhai Cui , Wen Su , Xingqiu Zhao

This paper studies the estimation and inference of treatment effects in panel data settings when treatments change dynamically over time. We propose a balancing method that allows for (i) treatments to be assigned dynamically over time…

Econometrics · Economics 2026-02-24 Davide Viviano , Jelena Bradic

In observational studies, adjusting for confounders is required if a treatment comparison is planned. A crude comparison of the primary endpoint without covariate adjustment will suffer from biases, and the addition of regression models…

Methodology · Statistics 2026-02-11 Shiyu Shu , Toshimitsu Hamasaki , Scott Evans , Lauren Komarow , David van Duin , Guoqing Diao

In observational studies, weighting methods that directly optimize the balance between treatment and covariates have received much attention lately; however these have mainly focused on binary treatments. Inspired by domain adaptation, we…

Statistics Theory · Mathematics 2020-02-27 Guillaume Martinet

In the optimization under uncertainty, decision-makers first select a wait-and-see policy before any realization of uncertainty and then place a here-and-now decision after the uncertainty has been observed. Two-stage stochastic programming…

Optimization and Control · Mathematics 2019-08-23 Weijun Xie

Researchers and practitioners are increasingly considering reinforcement learning to optimize decisions in complex domains like robotics and healthcare. To date, these efforts have largely utilized expectation-based learning. However,…

Machine Learning · Computer Science 2026-04-13 Zequn Chen , Wesley J. Marrero

Many applied decision-making problems have a dynamic component: The policymaker needs not only to choose whom to treat, but also when to start which treatment. For example, a medical doctor may choose between postponing treatment (watchful…

Methodology · Statistics 2020-05-01 Xinkun Nie , Emma Brunskill , Stefan Wager

In recent years, the field of precision medicine has seen many advancements. Significant focus has been placed on creating algorithms to estimate individualized treatment rules (ITR), which map from patient covariates to the space of…

Methodology · Statistics 2021-12-09 Kushal S. Shah , Haoda Fu , Michael R. Kosorok

The development of a digital twin (DT) framework for fast online adaptive proton therapy planning in prostate stereotactic body radiation therapy (SBRT) with dominant intraprostatic lesion (DIL) boost represents a significant advancement in…

This chapter describes how a posteriori error estimates targeting a user-defined quantity of interest, using the Dual Weighted Residual (DWR) technique, can be easily applied for biomechanical simulations in current engineering practice.…

Numerical Analysis · Mathematics 2025-11-13 Roland Becker , Franz Chouly , Michel Duprez , Thomas Richter , Pierre-Yves Rohan , Thomas Wick

Randomized controlled trials (RCTs) are widely regarded as the gold standard for causal inference in biomedical research. For instance, when estimating the average treatment effect on the treated (ATT), a doubly robust estimation procedure…

Methodology · Statistics 2025-09-26 Chi-Shian Dai , Chao Ying , Yang Ning , Jiwei Zhao

In this paper, a methodology is proposed that enables to analyze the sensitivity of the outcome of a therapy to unavoidable high dispersion of the patient specific parameters on one hand and to the choice of the parameters that define the…

Systems and Control · Electrical Eng. & Systems 2022-05-17 Mazen Alamir

This paper studies estimation of causal effects in a panel data setting. We introduce a new estimator, the Triply RObust Panel (TROP) estimator, that combines (i) a flexible model for the potential outcomes based on a low-rank factor…

Methodology · Statistics 2026-02-11 Susan Athey , Guido Imbens , Zhaonan Qu , Davide Viviano