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In this paper, we consider estimation of average treatment effect on the treated (ATT), an interpretable and relevant causal estimand to policy makers when treatment assignment is endogenous. By considering shadow variables that are…

Methodology · Statistics 2026-04-21 Trinetri Ghosh , Jiawei Shan , Menggang Yu , Jiwei Zhao

In this paper, we outline a principled approach to estimate an individualized treatment rule that is appropriate for data from observational studies where, in addition to treatment assignment not being independent of individual…

Methodology · Statistics 2019-06-05 Jeremy Roth , Noah Simon

Point identification of causal effects requires strong assumptions that are unreasonable in many practical settings. However, informative bounds on these effects can often be derived under plausible assumptions. Even when these bounds are…

Methodology · Statistics 2024-04-18 Julien D. Laurendeau , Aaron L. Sarvet , Mats J. Stensrud

Machine learning (ML) estimates of conditional average treatment effects (CATE) can guide policy decisions, either by allowing targeting of individuals with beneficial CATE estimates, or as inputs to decision trees that optimise overall…

Econometrics · Economics 2023-10-04 Julia Hatamyar , Noemi Kreif

Heterogeneous effect estimation plays a crucial role in causal inference, with applications across medicine and social science. Many methods for estimating conditional average treatment effects (CATEs) have been proposed in recent years,…

Statistics Theory · Mathematics 2023-08-22 Edward H. Kennedy

Randomized controlled trials (RCTs) often suffer from limited inferential efficiency in estimating treatment effects due to their small sample sizes. In recent years, incorporating external controls (ECs) has gained increasing attention as…

Methodology · Statistics 2026-04-16 Qinwei Yang , Jingyi Li , Peng Wu , Shu Yang

Modern treatment targeting methods often rely on estimating the conditional average treatment effect (CATE) using machine learning tools. While effective in identifying who benefits from treatment on the individual level, these approaches…

Methodology · Statistics 2025-11-05 Yuchen Hu , Shuangning Li , Stefan Wager

While sample sizes in randomized clinical trials are large enough to estimate the average treatment effect well, they are often insufficient for estimation of treatment-covariate interactions critical to studying data-driven precision…

Machine Learning · Statistics 2020-04-22 Steve Yadlowsky , Fabio Pellegrini , Federica Lionetto , Stefan Braune , Lu Tian

Understanding treatment effect heterogeneity is crucial for reliable decision-making in treatment evaluation and selection. The conditional average treatment effect (CATE) is widely used to capture treatment effect heterogeneity induced by…

Methodology · Statistics 2026-04-14 Peng Wu , Peng Ding , Zhi Geng , Yue Liu

This paper provides a link between causal inference and machine learning techniques - specifically, Classification and Regression Trees (CART) - in observational studies where the receipt of the treatment is not randomized, but the…

Machine Learning · Computer Science 2019-05-23 Falco J. Bargagli-Stoffi , Giorgio Gnecco

We introduce an algorithm for identifying interpretable subgroups with elevated treatment effects, given an estimate of individual or conditional average treatment effects (CATE). Subgroups are characterized by ``rule sets'' --…

Machine Learning · Statistics 2025-07-15 Albert Chiu

Estimating dynamic treatment regimes (DTRs) from retrospective observational data is challenging as some degree of unmeasured confounding is often expected. In this work, we develop a framework of estimating properly defined "optimal" DTRs…

Methodology · Statistics 2021-04-19 Shuxiao Chen , Bo Zhang

Treatment effect heterogeneity occurs when individual characteristics influence the effect of a treatment. We propose a novel approach that combines prognostic score matching and conditional inference trees to characterize effect…

The causal effect of a treatment can vary from person to person based on their individual characteristics and predispositions. Mining for patterns of individual-level effect differences, a problem known as heterogeneous treatment effect…

Machine Learning · Computer Science 2019-09-04 Christopher Tran , Elena Zheleva

Individualizing treatment assignment can improve outcomes for diseases with patient-to-patient variability in comparative treatment effects. When a clinical trial demonstrates that some patients improve on treatment while others do not, it…

Methodology · Statistics 2022-11-02 Nina Galanter , Marco Carone , Ronald C. Kessler , Alex Luedtke

Randomized controlled trials (RCTs) can be used to generate guarantees on treatment effects. However, RCTs often spend unnecessary resources exploring sub-optimal treatments, which can reduce the power of treatment guarantees. To address…

Computers and Society · Computer Science 2024-10-16 Santiago Cortes-Gomez , Naveen Raman , Aarti Singh , Bryan Wilder

The growing demand for personalized decision-making has led to a surge of interest in estimating the Conditional Average Treatment Effect (CATE). Various types of CATE estimators have been developed with advancements in machine learning and…

Machine Learning · Computer Science 2024-11-04 Yiyan Huang , Cheuk Hang Leung , Siyi Wang , Yijun Li , Qi Wu

There is tremendous interest in precision medicine as a means to improve patient outcomes by tailoring treatment to individual characteristics. An individualized treatment rule formalizes precision medicine as a map from patient information…

Machine Learning · Statistics 2020-05-28 Daniel J. Luckett , Eric B. Laber , Michael R. Kosorok

Machine learning has shown much promise in helping improve the quality of medical, legal, and financial decision-making. In these applications, machine learning models must satisfy two important criteria: (i) they must be causal, since the…

Machine Learning · Computer Science 2021-10-12 Carolyn Kim , Osbert Bastani

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…