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State-level policy studies often conduct heterogeneity analyses that quantify how treatment effects vary across state characteristics. These analyses may be used to inform state-specific policy decisions, or to infer how the effect of a…

There is growing interest in estimating and analyzing heterogeneous treatment effects in experimental and observational studies. We describe a number of meta-algorithms that can take advantage of any supervised learning or regression method…

Statistics Theory · Mathematics 2019-06-18 Sören R. Künzel , Jasjeet S. Sekhon , Peter J. Bickel , Bin Yu

Traditional causal inference approaches leverage observational study data to estimate the difference in observed and unobserved outcomes for a potential treatment, known as the Conditional Average Treatment Effect (CATE). However, CATE…

Machine Learning · Statistics 2022-09-22 Tianhui Zhou , William E Carson , David Carlson

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

We study the problem of model selection in causal inference, specifically for conditional average treatment effect (CATE) estimation. Unlike machine learning, there is no perfect analogue of cross-validation for model selection as we do not…

Machine Learning · Computer Science 2024-04-30 Divyat Mahajan , Ioannis Mitliagkas , Brady Neal , Vasilis Syrgkanis

Why does a phenomenon occur? Addressing this question is central to most scientific inquiries and often relies on simulations of scientific models. As models become more intricate, deciphering the causes behind phenomena in high-dimensional…

Machine Learning · Statistics 2024-06-04 Armin Kekić , Bernhard Schölkopf , Michel Besserve

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

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

Predicting the impact of genomic and drug perturbations in cellular function is crucial for understanding gene functions and drug effects, ultimately leading to improved therapies. To this end, Causal Representation Learning (CRL)…

Causal inference has numerous real-world applications in many domains, such as health care, marketing, political science, and online advertising. Treatment effect estimation, a fundamental problem in causal inference, has been extensively…

Machine Learning · Computer Science 2023-02-03 Zhixuan Chu , Jianmin Huang , Ruopeng Li , Wei Chu , Sheng Li

Determining subgroups that respond especially well (or poorly) to specific interventions (medical or policy) requires new supervised learning methods tailored specifically for causal inference. Bayesian Causal Forest (BCF) is a recent…

Machine Learning · Statistics 2022-09-16 Nikolay Krantsevich , Jingyu He , P. Richard Hahn

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

Learning causal effects from observational data greatly benefits a variety of domains such as health care, education and sociology. For instance, one could estimate the impact of a new drug on specific individuals to assist the clinic plan…

Machine Learning · Computer Science 2021-05-19 Xin Du , Lei Sun , Wouter Duivesteijn , Alexander Nikolaev , Mykola Pechenizkiy

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

Two-way fixed effects (TWFE) models are widely used in political science to establish causality, but recent methodological discussions highlight their limitations under heterogeneous treatment effects (HTE) and violations of the parallel…

Methodology · Statistics 2026-02-03 Albert Chiu , Xingchen Lan , Ziyi Liu , Yiqing Xu

This paper introduces the Difference-in-Differences Bayesian Causal Forest (DiD-BCF), a novel non-parametric model addressing key challenges in DiD estimation, such as staggered adoption and heterogeneous treatment effects. DiD-BCF provides…

Methodology · Statistics 2025-06-10 Hugo Gobato Souto , Francisco Louzada Neto

Conditional average treatment effects (CATEs) are increasingly estimated from observational data and used to guide policy and individualized treatment decisions. Before such estimates can be trusted in practice, their predictive fitness…

Methodology · Statistics 2026-05-21 Bosen Cui , Yuhong Yang

Understanding causal heterogeneity is essential for scientific discovery in domains such as biology and medicine. However, existing methods lack causal awareness, with insufficient modeling of heterogeneity, confounding, and observational…

Machine Learning · Computer Science 2025-10-29 Wenrui Li , Qinghao Zhang , Xiaowo Wang

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

Random Forest (RF) is well-known as an efficient ensemble learning method in terms of predictive performance. It is also considered a Black Box because of its hundreds of deep decision trees. This lack of interpretability can be a real…

Machine Learning · Computer Science 2024-03-27 Haddouchi Maissae , Berrado Abdelaziz