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Unobserved confounding prevents standard covariate adjustment from identifying causal response functions in observational studies. Proxy causal learning addresses this problem through bridge equations involving treatment- and…

Machine Learning · Computer Science 2026-05-12 Bariscan Bozkurt , Alexandre Galashov , Dimitri Meunier , Zikai Shen , Arthur Gretton , Houssam Zenati

Mediation analysis is concerned with the decomposition of the total effect of an exposure on an outcome into the indirect effect through a given mediator, and the remaining direct effect. This is ideally done using longitudinal measurements…

Statistics Theory · Mathematics 2019-12-04 Murthy N Mittinty , Stijn Vansteelandt

We propose causal effect estimators based on empirical Fr\'{e}chet means and operator-valued kernels, tailored to functional data spaces. These methods address the challenges of high-dimensionality, sequential ordering, and model complexity…

Methodology · Statistics 2025-06-04 Yordan P. Raykov , Hengrui Luo , Justin D. Strait , Wasiur R. KhudaBukhsh

Causal effect moderation investigates how the effect of interventions (or treatments) on outcome variables changes based on observed characteristics of individuals, known as potential effect moderators. With advances in data collection,…

Methodology · Statistics 2024-11-26 Soham Bakshi , Walter Dempsey , Snigdha Panigrahi

Matching estimators for average treatment effects are widely used in the binary treatment setting, in which missing potential outcomes are imputed as the average of observed outcomes of all matches for each unit. With more than two…

Methodology · Statistics 2019-04-29 Anthony D. Scotina , Francesca L. Beaudoin , Roee Gutman

Instrumental variable (IV) methods allow us the opportunity to address unmeasured confounding in causal inference. However, most IV methods are only applicable to discrete or continuous outcomes with very few IV methods for censored…

Methodology · Statistics 2020-09-30 Youjin Lee , Edward H. Kennedy , Nandita Mitra

A common concern when trying to draw causal inferences from observational data is that the measured covariates are insufficiently rich to account for all sources of confounding. In practice, many of the covariates may only be proxies of the…

Methodology · Statistics 2023-08-31 Oliver Dukes , Ilya Shpitser , Eric J. Tchetgen Tchetgen

Mediation analysis is critical to understanding the mechanisms underlying exposure-outcome relationships. In this paper, we identify the instrumental variable (IV)-direct effect of the exposure on the outcome not through the mediator, using…

Methodology · Statistics 2020-06-16 Kara E Rudolph , Oleg Sofrygin , Mark J van der Laan

We discuss causal mediation analyses for survival data and propose a new approach based on the additive hazards model. The emphasis is on a dynamic point of view, that is, understanding how the direct and indirect effects develop over time.…

Investigators often use multi-source data (e.g., multi-center trials, meta-analyses of randomized trials, pooled analyses of observational cohorts) to learn about the effects of interventions in subgroups of some well-defined target…

Methodology · Statistics 2024-02-06 Guanbo Wang , Alexander Levis , Jon Steingrimsson , Issa Dahabreh

The increase in the use of mobile and wearable devices now allows dense assessment of mediating processes over time. For example, a pharmacological intervention may have an effect on smoking cessation via reductions in momentary withdrawal…

Mediation analysis seeks to identify and quantify the paths by which an exposure affects an outcome. Intermediate variables which are effected by the exposure and which effect the outcome are known as mediators. There exists extensive work…

Methodology · Statistics 2020-11-13 James P. Long , Ehsan Irajizad , James D. Doecke , Kim-Anh Do , Min Jin Ha

Estimation of the Average Treatment Effect (ATE) is often carried out in 2 steps, wherein the first step, the treatment and outcome are modeled, and in the second step the predictions are inserted into the ATE estimator. In the first steps,…

Methodology · Statistics 2023-07-21 Mehdi Rostami , Olli Saarela

Wang and Tchetgen Tchetgen (2017) studied identification and estimation of the average treatment effect when some confounders are unmeasured. Under their identification condition, they showed that the semiparametric efficient influence…

Econometrics · Economics 2018-07-17 Chunrong Ai , Lukang Huang , Zheng Zhang

Researchers increasingly leverage movement across multiple treatments to estimate causal effects. While these "mover regressions" are often motivated by a linear constant-effects model, it is not clear what they capture under weaker…

Econometrics · Economics 2018-04-19 Peter Hull

We study the problem of causal function estimation in the Proxy Causal Learning (PCL) framework, where confounders are not observed but proxies for the confounders are available. Two main approaches have been proposed: outcome bridge-based…

Machine Learning · Computer Science 2026-03-27 Bariscan Bozkurt , Houssam Zenati , Dimitri Meunier , Liyuan Xu , Arthur Gretton

Recent work on dynamic interventions has greatly expanded the range of causal questions researchers can study while weakening identifying assumptions and yielding effects that are more practically relevant. However, most work in dynamic…

Methodology · Statistics 2019-07-10 Jacqueline A Mauro , Edward H Kennedy , Daniel Nagin

The vast majority of literature on evaluating the significance of a treatment effect based on observational data has been confined to discrete treatments. These methods are not applicable to drawing inference for a continuous treatment,…

Methodology · Statistics 2023-05-23 Charles R. Doss , Guangwei Weng , Lan Wang , Ira Moscovice , Tongtan Chantarat

Construction of just-in-time adaptive interventions, such as prompts delivered by mobile apps to promote and maintain behavioral change, requires knowledge about time-varying moderated effects to inform when and how we deliver intervention…

Methodology · Statistics 2022-12-06 Jieru Shi , Zhenke Wu , Walter Dempsey

We consider evaluating the causal effects of dynamic treatments, i.e. of multiple treatment sequences in various periods, based on double machine learning to control for observed, time-varying covariates in a data-driven way under a…

Econometrics · Economics 2021-06-22 Hugo Bodory , Martin Huber , Lukáš Lafférs