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The weighted average treatment effect (WATE) defines a versatile class of causal estimands for populations characterized by propensity score weights, including the average treatment effect (ATE), treatment effect on the treated (ATT), on…

Methodology · Statistics 2025-09-23 Yiming Wang , Yi Liu , Shu Yang

Average Treatment Effect (ATE) estimation is a well-studied problem in causal inference. However, it does not necessarily capture the heterogeneity in the data, and several approaches have been proposed to tackle the issue, including…

Machine Learning · Computer Science 2024-03-19 Raghavendra Addanki , Siddharth Bhandari

Estimating the conditional average treatment effect (CATE) from observational data is relevant for many applications such as personalized medicine. Here, we focus on the widespread setting where the observational data come from multiple…

Machine Learning · Computer Science 2024-06-05 Jonas Schweisthal , Dennis Frauen , Mihaela van der Schaar , Stefan Feuerriegel

We study the problem of learning conditional average treatment effects (CATE) from observational data with unobserved confounders. The CATE function maps baseline covariates to individual causal effect predictions and is key for…

Machine Learning · Statistics 2018-10-09 Nathan Kallus , Xiaojie Mao , Angela Zhou

The Average Treatment Effect on the Treated (ATT) is a common causal parameter defined as the average effect of a binary treatment among the subset of the population receiving treatment. We propose a novel family of parameters, Generalized…

Methodology · Statistics 2024-10-28 Herbert Susmann , Nicholas T. Williams , Kara E. Rudolph , Iván Díaz

We consider Targeted Maximum Likelihood Estimation (TMLE) of weighted average treatment effects (WATEs), a class of causal estimands that reweight the covariate distribution using a specified function of the propensity score. This class…

Statistics Theory · Mathematics 2026-04-02 Yang Liu , Patrick Lopatto , Ivana Malenica

Matching has become the mainstream in counterfactual inference, with which selection bias between sample groups can be significantly eliminated. However in practice, when estimating average treatment effect on the treated (ATT) via…

Econometrics · Economics 2022-06-14 Boyang You , Kerry Papps

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

Randomized controlled trials (RCTs) are often underpowered to detect treatment heterogeneity in subgroups defined by cross-classifications of multiple covariates, due to sparse sample sizes in some strata. External RCT data can help, but…

Methodology · Statistics 2026-04-23 Youqi Yang , Walter Dempsey , Bhramar Mukherjee

Estimation of heterogeneous causal effects - i.e., how effects of policies and treatments vary across subjects - is a fundamental task in causal inference. Many methods for estimating conditional average treatment effects (CATEs) have been…

Statistics Theory · Mathematics 2023-12-27 Edward H. Kennedy , Sivaraman Balakrishnan , James M. Robins , Larry Wasserman

This article proposes a meta-learning method for estimating the conditional average treatment effect (CATE) from a few observational data. The proposed method learns how to estimate CATEs from multiple tasks and uses the knowledge for…

Machine Learning · Statistics 2023-05-22 Tomoharu Iwata , Yoichi Chikahara

Difference-in-differences (DiD) is a cornerstone of causal inference, yet extending it to functional outcomes is not a routine scalar generalization; rather, it entails three fundamental challenges in identification, inference, and…

Methodology · Statistics 2026-05-29 Junzhu Nie , Chengxiu Ling , Mengfei Ran

Constructing confidence intervals for the value of an (unknown) optimal treatment policy is a fundamental problem in causal inference. Insight into the optimal policy value can guide the development of reward-maximizing, individualized…

Econometrics · Economics 2026-04-01 Justin Whitehouse , Qizhao Chen , Morgane Austern , Vasilis Syrgkanis

This paper develops a sensitivity analysis framework that transfers the average total treatment effect (ATTE) from source data with a fully observed network to target data whose network is completely unknown. The ATTE represents the average…

Methodology · Statistics 2025-10-17 Tadao Hoshino

The conditional average treatment effect (CATE) is the best measure of individual causal effects given baseline covariates. However, the CATE only captures the (conditional) average, and can overlook risks and tail events, which are…

Machine Learning · Statistics 2025-06-05 Nathan Kallus , Miruna Oprescu

Reliable estimation of treatment effects from observational data is important in many disciplines such as medicine. However, estimation is challenging when unconfoundedness as a standard assumption in the causal inference literature is…

Machine Learning · Computer Science 2024-10-15 Jonas Schweisthal , Dennis Frauen , Maresa Schröder , Konstantin Hess , Niki Kilbertus , Stefan Feuerriegel

Heterogeneous treatment effects, which vary according to individual covariates, are crucial in fields such as personalized medicine and tailored treatment strategies. In many applications, rather than considering the heterogeneity induced…

Methodology · Statistics 2025-08-26 Peng Wu , Pengtao Zeng , Zhaoqing Tian , Shaojie Wei

The weighted average treatment effect (WATE) is a causal measure for the comparison of interventions in a specific target population, which may be different from the population where data are sampled from. For instance, when the goal is to…

Methodology · Statistics 2018-04-17 Yebin Tao , Haoda Fu

When evaluating a two-phase intervention, the cumulative average treatment effect (ATE) is often the primary causal estimand of interest. However, some individuals who do not respond well to the Phase I treatment may subsequently display…

Methodology · Statistics 2026-02-02 Guanglei Hong , Xu Qin , Zhengyan Xu , Fan Yang

The research is about a systematic investigation on the following issues. First, we construct different outcome regression-based estimators for conditional average treatment effect under, respectively, true (oracle), parametric,…

Statistics Theory · Mathematics 2020-09-23 Lu Li , Niwen Zhou , Lixing Zhu