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Estimation of heterogeneous treatment effects (HTE) is of prime importance in many disciplines, ranging from personalized medicine to economics among many others. Random forests have been shown to be a flexible and powerful approach to HTE…

Methodology · Statistics 2025-10-07 Susanne Dandl , Torsten Hothorn , Heidi Seibold , Erik Sverdrup , Stefan Wager , Achim Zeileis

The estimation of heterogeneous treatment effects (HTEs) has attracted considerable interest in many disciplines, most prominently in medicine and economics. Contemporary research has so far primarily focused on continuous and binary…

Methodology · Statistics 2022-10-07 Susanne Dandl , Andreas Bender , Torsten Hothorn

Recursive decision trees are widely used to estimate heterogeneous causal treatment effects in experimental and observational studies. These methods are typically implemented using CART-type recursive partitioning and are often viewed as…

Statistics Theory · Mathematics 2026-03-19 Matias D. Cattaneo , Jason M. Klusowski , Ruiqi Rae Yu

Analyzing data from multiple sources offers valuable opportunities to improve the estimation efficiency of causal estimands. However, this analysis also poses many challenges due to population heterogeneity and data privacy constraints.…

Methodology · Statistics 2025-10-23 Rong Zhao , Jason Falvey , Xu Shi , Vernon M. Chinchilli , Chixiang Chen

Forest-based methods have recently gained in popularity for non-parametric treatment effect estimation. Building on this line of work, we introduce causal survival forests, which can be used to estimate heterogeneous treatment effects in a…

Methodology · Statistics 2023-03-01 Yifan Cui , Michael R. Kosorok , Erik Sverdrup , Stefan Wager , Ruoqing Zhu

Many scientific and engineering challenges -- ranging from personalized medicine to customized marketing recommendations -- require an understanding of treatment effect heterogeneity. In this paper, we develop a non-parametric causal forest…

Methodology · Statistics 2017-07-11 Stefan Wager , Susan Athey

In this paper we study the problems of estimating heterogeneity in causal effects in experimental or observational studies and conducting inference about the magnitude of the differences in treatment effects across subsets of the…

Machine Learning · Statistics 2022-06-08 Susan Athey , Guido Imbens

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…

Understanding and inferencing Heterogeneous Treatment Effects (HTE) and Conditional Average Treatment Effects (CATE) are vital for developing personalized treatment recommendations. Many state-of-the-art approaches achieve inspiring…

Machine Learning · Computer Science 2024-08-28 Chan Hsu , Jun-Ting Wu , Yihuang Kang

This paper presents a novel nonlinear regression model for estimating heterogeneous treatment effects from observational data, geared specifically towards situations with small effect sizes, heterogeneous effects, and strong confounding.…

Methodology · Statistics 2019-11-14 P. Richard Hahn , Jared S. Murray , Carlos Carvalho

We often seek to estimate the impact of an exposure naturally occurring or randomly assigned at the cluster-level. For example, the literature on neighborhood determinants of health continues to grow. Likewise, community randomized trials…

Methodology · Statistics 2021-07-08 Laura B. Balzer , Wenjing Zheng , Mark J. van der Laan , Maya L. Petersen

Individuals do not respond uniformly to treatments, events, or interventions. Sociologists routinely partition samples into subgroups to explore how the effects of treatments vary by covariates like race, gender, and socioeconomic status.…

Other Statistics · Statistics 2019-09-23 Jennie E. Brand , Jiahui Xu , Bernard Koch , Pablo Geraldo

In causal inference, estimating heterogeneous treatment effects (HTE) is critical for identifying how different subgroups respond to interventions, with broad applications in fields such as precision medicine and personalized advertising.…

Machine Learning · Computer Science 2024-07-02 Jiehui Zhou , Linxiao Yang , Xingyu Liu , Xinyue Gu , Liang Sun , Wei Chen

We study the assessment of the accuracy of heterogeneous treatment effect (HTE) estimation, where the HTE is not directly observable so standard computation of prediction errors is not applicable. To tackle the difficulty, we propose an…

Methodology · Statistics 2020-03-10 Zijun Gao , Trevor Hastie , Robert Tibshirani

Accurately estimating personalized treatment effects within a study site (e.g., a hospital) has been challenging due to limited sample size. Furthermore, privacy considerations and lack of resources prevent a site from leveraging…

Machine Learning · Statistics 2022-06-17 Xiaoqing Tan , Chung-Chou H. Chang , Ling Zhou , Lu Tang

Flexible machine learning tools are increasingly used to estimate heterogeneous treatment effects. This paper gives an accessible tutorial demonstrating the use of the causal forest algorithm, available in the R package grf. We start with a…

Applications · Statistics 2024-12-17 Erik Sverdrup , Maria Petukhova , Stefan Wager

Uncovering the heterogeneity of causal effects of policies and business decisions at various levels of granularity provides substantial value to decision makers. This paper develops new estimation and inference procedures for multiple…

Econometrics · Economics 2019-07-08 Michael Lechner

Decision tree learning is increasingly being used for pointwise inference. Important applications include causal heterogenous treatment effects and dynamic policy decisions, as well as conditional quantile regression and design of…

Machine Learning · Statistics 2024-02-08 Matias D. Cattaneo , Jason M. Klusowski , Peter M. Tian

Estimating heterogeneous treatment effects is critical in domains such as personalized medicine, resource allocation, and policy evaluation. A central challenge lies in identifying subpopulations that respond differently to interventions,…

Machine Learning · Statistics 2025-09-18 Zilong Wang , Turgay Ayer , Shihao Yang

In health and social sciences, it is critically important to identify subgroups of the study population where there is notable heterogeneity of treatment effects (HTE) with respect to the population average. Decision trees have been…

Methodology · Statistics 2024-05-28 Falco J. Bargagli-Stoffi , Riccardo Cadei , Kwonsang Lee , Francesca Dominici
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