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In interventional health studies, causal mediation analysis can be employed to investigate mechanisms through which the intervention affects the targeted health outcome. Identifying direct and indirect (i.e. mediated) effects from empirical…

Causal mediation analyses investigate the mechanisms through which causes exert their effects, and are therefore central to scientific progress. The literature on the non-parametric definition and identification of mediational effects in…

Machine Learning · Statistics 2025-06-13 Richard Liu , Nicholas T. Williams , Kara E. Rudolph , Iván Díaz

Algorithms for constraint-based causal discovery select graphical causal models among a space of possible candidates (e.g., all directed acyclic graphs) by executing a sequence of conditional independence tests. These may be used to inform…

Methodology · Statistics 2025-09-19 Ting-Hsuan Chang , Zijian Guo , Daniel Malinsky

Classical causal and statistical inference methods typically assume the observed data consists of independent realizations. However, in many applications this assumption is inappropriate due to a network of dependences between units in the…

Machine Learning · Computer Science 2019-07-02 Rohit Bhattacharya , Daniel Malinsky , Ilya Shpitser

The health effects of environmental exposures have been studied for decades, typically using standard regression models to assess exposure-outcome associations found in observational non-experimental data. We propose and illustrate a…

Applications · Statistics 2017-09-20 Marie-Abele C. Bind , Donald B. Rubin

Decomposing a total causal effect into natural direct and indirect effects is central to revealing causal mechanisms. Conventional methods achieve the decomposition by specifying an outcome model as a linear function of the treatment, the…

Methodology · Statistics 2025-06-05 Guanglei Hong

Causal inference from observational data is crucial for many disciplines such as medicine and economics. However, sharp bounds for causal effects under relaxations of the unconfoundedness assumption (causal sensitivity analysis) are subject…

Machine Learning · Computer Science 2023-10-17 Dennis Frauen , Valentyn Melnychuk , Stefan Feuerriegel

Mediation analysis assesses the extent to which the exposure affects the outcome indirectly through a mediator and the extent to which it operates directly through other pathways. The popular Baron-Kenny approach estimates the indirect and…

Methodology · Statistics 2025-04-08 Mingrui Zhang , Peng Ding

As language technologies become widespread, it is important to understand how changes in language affect reader perceptions and behaviors. These relationships may be formalized as the isolated causal effect of some focal language-encoded…

Computation and Language · Computer Science 2025-06-06 Victoria Lin , Louis-Philippe Morency , Eli Ben-Michael

Recent work has focused on the potential and pitfalls of causal identification in observational studies with multiple simultaneous treatments. Building on previous work, we show that even if the conditional distribution of unmeasured…

Methodology · Statistics 2025-03-28 Jiajing Zheng , Alexander D'Amour , Alexander Franks

Causal mediation analysis decomposes the total effect of a treatment on an outcome into the indirect effect, operating through the mediator, and the direct effect, operating through other pathways. One can estimate only the pure indirect…

Applications · Statistics 2025-07-16 Vindyani Herath , Ronald J. Bosch , Judith J. Lok

Interventional effects have been proposed as a solution to the unidentifiability of natural (in)direct effects under mediator-outcome confounders affected by the exposure. Such confounders are an intrinsic characteristic of studies with…

Methodology · Statistics 2022-03-30 Iván Díaz , Nicholas Williams , Kara E. Rudolph

Unlike classical causal inference, which often has an average causal effect of a treatment within a population as a target, in settings such as personalized medicine, the goal is to map a given unit's characteristics to a treatment tailored…

Methodology · Statistics 2017-09-13 Ilya Shpitser , Sourjya Sarkar

Understanding and quantifying cause and effect is an important problem in many domains. The generally-agreed solution to this problem is to perform a randomised controlled trial. However, even when randomised controlled trials can be…

Machine Learning · Statistics 2023-02-22 Graham Van Goffrier , Lucas Maystre , Ciarán Gilligan-Lee

We consider the problem of estimating a causal effect in a multi-domain setting. The causal effect of interest is confounded by an unobserved confounder and can change between the different domains. We assume that we have access to a proxy…

Machine Learning · Computer Science 2025-12-30 Manuel Iglesias-Alonso , Felix Schur , Julius von Kügelgen , Jonas Peters

Semiparametric inference on average causal effects from observational data is based on assumptions yielding identification of the effects. In practice, several distinct identifying assumptions may be plausible; an analyst has to make a…

Methodology · Statistics 2025-10-07 Tetiana Gorbach , Xavier de Luna , Juha Karvanen , Ingeborg Waernbaum

Scientists have been interested in estimating causal peer effects to understand how people's behaviors are affected by their network peers. However, it is well known that identification and estimation of causal peer effects are challenging…

Methodology · Statistics 2021-09-07 Naoki Egami , Eric J. Tchetgen Tchetgen

Direct effect analyses usually require deciding whether a focal variable is a pre-exposure confounder or a post-exposure mediator. In observational studies, that distinction may be unclear because timing is measured coarsely or the variable…

Methodology · Statistics 2026-04-13 AmirEmad Ghassami

Identifying causal treatment (or exposure) effects in observational studies requires the data to satisfy the unconfoundedness assumption which is not testable using the observed data. With sensitivity analysis, one can determine how the…

Methodology · Statistics 2023-01-31 Yang Ou , Lu Tang , Chung-Chou H. Chang

Unobserved confounding is a fundamental challenge for estimating causal effects. To address unobserved confounding, recent literature has turned to two different approaches -- proxy variables and the use of multiple treatments. The first…

Methodology · Statistics 2026-05-20 Aytijhya Saha , Stephen Bates , Devavrat Shah