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To effectively optimize and personalize treatments, it is necessary to investigate the heterogeneity of treatment effects. With the wide range of users being treated over many online controlled experiments, the typical approach of manually…

Methodology · Statistics 2022-11-07 John Cai , Weinan Wang

One of the major challenges in estimating conditional potential outcomes and conditional average treatment effects (CATE) is the presence of hidden confounders. Since testing for hidden confounders cannot be accomplished only with…

Machine Learning · Computer Science 2025-06-17 Ahmed Aloui , Juncheng Dong , Ali Hasan , Vahid Tarokh

Inferring the heterogeneous treatment effect is a fundamental problem in the sciences and commercial applications. In this paper, we focus on estimating Conditional Average Treatment Effect (CATE), that is, the difference in the conditional…

Methodology · Statistics 2021-03-23 Haomiao Meng , Xingye Qiao

Causal inference from observational data requires untestable identification assumptions. If these assumptions apply, machine learning (ML) methods can be used to study complex forms of causal effect heterogeneity. Recently, several ML…

Methodology · Statistics 2023-12-20 Richard Post , Isabel van den Heuvel , Marko Petkovic , Edwin van den Heuvel

The quantification of treatment effects plays an important role in a wide range of applications, including policy making and bio-pharmaceutical research. In this article, we study the quantile treatment effect (QTE) while addressing two…

Statistics Theory · Mathematics 2025-03-25 Jiachen Sun , Yin Xia

Given the unconfoundedness assumption, we propose new nonparametric estimators for the reduced dimensional conditional average treatment effect (CATE) function. In the first stage, the nuisance functions necessary for identifying CATE are…

Econometrics · Economics 2021-07-26 Qingliang Fan , Yu-Chin Hsu , Robert P. Lieli , Yichong Zhang

Specifications that impose constant treatment effects are common but biased, while fully flexible alternatives can be imprecise or infeasible. Under a bound on treatment effect heterogeneity, we propose a generalized ridge estimator,…

Econometrics · Economics 2026-04-07 Soonwoo Kwon , Liyang Sun

It is valuable for any decision maker to know the impact of decisions (treatments) on average and for subgroups. The causal machine learning literature has recently provided tools for estimating group average treatment effects (GATE) to…

Econometrics · Economics 2025-01-10 Nora Bearth , Michael Lechner

In causal inference about two treatments, Conditional Average Treatment Effects (CATEs) play an important role as a quantity representing an individualized causal effect, defined as a difference between the expected outcomes of the two…

Econometrics · Economics 2023-10-26 Masahiro Kato , Masaaki Imaizumi

Unmeasured confounding is a threat to causal inference in observational studies. In recent years, use of negative controls to mitigate unmeasured confounding has gained increasing recognition and popularity. Negative controls have a…

Methodology · Statistics 2019-09-05 Xu Shi , Wang Miao , Jennifer C. Nelson , Eric J. Tchetgen Tchetgen

Conditional Average Treatment Effects (CATE) estimation is one of the main challenges in causal inference with observational data. In addition to Machine Learning based-models, nonparametric estimators called meta-learners have been…

Machine Learning · Statistics 2023-06-06 Naoufal Acharki , Ramiro Lugo , Antoine Bertoncello , Josselin Garnier

Individual treatment effect (ITE) is often regarded as the ideal target of inference in causal analyses and has been the focus of several recent studies. In this paper, we describe the intrinsic limits regarding what can be learned…

Methodology · Statistics 2025-06-10 Zhehao Zhang , Thomas S. Richardson

The conditional tail average treatment effect (CTATE) is defined as a difference between the conditional tail expectations of potential outcomes, which can capture heterogeneity and deliver aggregated local information on treatment effects…

Applications · Statistics 2024-05-21 Le-Yu Chen , Yu-Min Yen

Identifying heterogeneous treatment effects (HTEs) in randomized controlled trials is an important step toward understanding and acting on trial results. However, HTEs are often small and difficult to identify, and HTE modeling methods…

Methodology · Statistics 2020-11-24 Erin Craig , Donald A Redelmeier , Robert J Tibshirani

The estimation of average treatment effects (ATEs), defined as the difference in expected outcomes between treatment and control groups, is a central topic in causal inference. This study develops semiparametric efficient estimators for ATE…

Machine Learning · Computer Science 2025-05-29 Masahiro Kato , Fumiaki Kozai , Ryo Inokuchi

This paper presents methods to study the causal effect of a binary treatment on a functional outcome with observational data. We define a Functional Average Treatment Effect and develop an outcome regression estimator. We show how to obtain…

Methodology · Statistics 2025-09-08 Kreske Ecker , Xavier de Luna , Lina Schelin

There are many measures to report so-called treatment or causal effects: absolute difference, ratio, odds ratio, number needed to treat, and so on. The choice of a measure, e.g. absolute versus relative, is often debated because it leads to…

Methodology · Statistics 2025-09-23 Bénédicte Colnet , Julie Josse , Gaël Varoquaux , Erwan Scornet

We consider identification and inference for the average treatment effect and heterogeneous treatment effect conditional on observable covariates in the presence of unmeasured confounding. Since point identification of these treatment…

Methodology · Statistics 2025-03-04 Kan Chen , Jeffrey Zhang , Bingkai Wang , Dylan S. Small

Causal inference is paramount for understanding the effects of interventions, yet extracting personalized insights from increasingly complex data remains a significant challenge for modern machine learning. This is the case, in particular,…

Methodology · Statistics 2026-02-12 Filippo Salmaso , Lorenzo Testa , Francesca Chiaromonte

This paper provides estimation and inference methods for a conditional average treatment effects (CATE) characterized by a high-dimensional parameter in both homogeneous cross-sectional and unit-heterogeneous dynamic panel data settings. In…

Machine Learning · Statistics 2022-12-13 Vira Semenova , Matt Goldman , Victor Chernozhukov , Matt Taddy