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In many problems, the measured variables (e.g., image pixels) are just mathematical functions of the latent causal variables (e.g., the underlying concepts or objects). For the purpose of making predictions in changing environments or…

Machine Learning · Computer Science 2024-08-13 Kun Zhang , Shaoan Xie , Ignavier Ng , Yujia Zheng

Causal parameters may not be point identified in the presence of unobserved confounding. However, information about non-identified parameters, in the form of bounds, may still be recovered from the observed data in some cases. We develop a…

Methodology · Statistics 2020-07-02 Noam Finkelstein , Ilya Shpitser

Causal inference quantifies cause-effect relationships by estimating counterfactual parameters from data. This entails using \emph{identification theory} to establish a link between counterfactual parameters of interest and distributions…

Machine Learning · Statistics 2020-04-17 Jaron J. R. Lee , Ilya Shpitser

When examining a contrast between two interventions, longitudinal causal inference studies frequently encounter positivity violations when one or both regimes are impossible to observe for some subjects. Existing weighting methods either…

Methodology · Statistics 2025-08-11 Alec McClean , Iván Díaz

In animal behavior studies, a common goal is to investigate the causal pathways between an exposure and outcome, and a mediator that lies in between. Causal mediation analysis provides a principled approach for such studies. Although many…

Although the exposure can be randomly assigned in studies of mediation effects, any form of direct intervention on the mediator is often infeasible. As a result, unmeasured mediator-outcome confounding can seldom be ruled out. We propose…

Methodology · Statistics 2021-09-30 BaoLuo Sun , Ting Ye

A parametric expression for causal natural direct and indirect effects is derived for the setting of a binary outcome with a binary mediator. The proposed effect decomposition does not require the outcome to be rare and generalizes the…

Methodology · Statistics 2021-04-13 Marco Doretti , Martina Raggi , Elena Stanghellini

In biomedical research, repeated measurements within each subject are often processed to remove artifacts and unwanted sources of variation. The resulting data are used to construct derived outcomes that act as proxies for scientific…

Methodology · Statistics 2026-02-03 Zihang Wang , Razieh Nabi , Benjamin B. Risk

There has been widespread use of causal inference methods for the rigorous analysis of observational studies and to identify policy evaluations. In this article, we consider a class of generalized coarsened procedures for confounding. At a…

Methodology · Statistics 2025-07-04 Debashis Ghosh , Lei Wang

Unobserved confounding is a major hurdle for causal inference from observational data. Confounders---the variables that affect both the causes and the outcome---induce spurious non-causal correlations between the two. Wang & Blei (2018)…

Machine Learning · Statistics 2019-05-31 Yixin Wang , David M. Blei

We propose a unified class of generalized structural equation models (GSEMs) with data of mixed types in mediation analysis, including continuous, categorical, and count variables. Such models extend substantially the classical linear…

Methodology · Statistics 2023-12-05 Wei Hao , Canyi Chen , Peter X. -K. Song

Causal inference is a science with multi-disciplinary evolution and applications. On the one hand, it measures effects of treatments in observational data based on experimental designs and rigorous statistical inference to draw causal…

Methodology · Statistics 2022-09-05 Jingying Zeng , Run Wang

Causal decomposition has provided a powerful tool to analyze health disparity problems, by assessing the proportion of disparity caused by each mediator. However, most of these methods lack \emph{policy implications}, as they fail to…

Methodology · Statistics 2023-02-21 Xinwei Sun , Xiangyu Zheng , Jim Weinstein

Mediation analysis seeks to infer how much of the effect of an exposure on an outcome can be attributed to specific pathways via intermediate variables or mediators. This requires identification of so-called path-specific effects. These…

Methodology · Statistics 2019-06-06 Johan Steen , Stijn Vansteelandt

The use of causal mediation analysis to evaluate the pathways by which an exposure affects an outcome is widespread in the social and biomedical sciences. Recent advances in this area have established formal conditions for identification…

Methodology · Statistics 2018-08-14 Isabel R. Fulcher , Xu Shi , Eric J. Tchetgen Tchetgen

Balanced representation learning methods have been applied successfully to counterfactual inference from observational data. However, approaches that account for survival outcomes are relatively limited. Survival data are frequently…

Machine Learning · Statistics 2021-03-04 Paidamoyo Chapfuwa , Serge Assaad , Shuxi Zeng , Michael J. Pencina , Lawrence Carin , Ricardo Henao

This paper combines causal mediation analysis with double machine learning to control for observed confounders in a data-driven way under a selection-on-observables assumption in a high-dimensional setting. We consider the average indirect…

Econometrics · Economics 2021-02-17 Helmut Farbmacher , Martin Huber , Lukáš Lafférs , Henrika Langen , Martin Spindler

Mediation analysis is a strategy for understanding the mechanisms by which treatments or interventions affect later outcomes. Mediation analysis is frequently applied in randomized trial settings, but typically assumes: a) that randomized…

Methodology · Statistics 2021-12-30 Kara E. Rudolph , Nicholas Williams , Ivan Diaz

Estimating treatment effects from observational data is challenging due to two main reasons: (a) hidden confounding, and (b) covariate mismatch (control and treatment groups not having identical distributions). Long lines of works exist…

Machine Learning · Computer Science 2025-04-30 Praharsh Nanavati , Ranjitha Prasad , Karthikeyan Shanmugam

Judea Pearl's insight that, when errors are assumed independent, the Pure (aka Natural) Direct Effect (PDE) is non-parametrically identified via the Mediation Formula was `path-breaking' in more than one sense! In the same paper Pearl…

Methodology · Statistics 2021-08-31 James M. Robins , Thomas S. Richardson , Ilya Shpitser
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