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Conducting experiments to estimate total effects can be challenging due to cost, ethical concerns, or practical limitations. As an alternative, researchers often rely on causal graphs to determine whether these effects can be identified…

Methodology · Statistics 2025-05-20 Charles K. Assaad

Pearl's front-door criterion provides a set of sufficient conditions for estimating the total causal effect from observational data in the presence of latent confounding, using the functional P(y | do(x := x*)) = \sum_z P(z | x*) \sum_x P(y…

Statistics Theory · Mathematics 2026-04-17 Carol Wu , Elina Robeva

Evaluating causal treatment effects in observational studies requires addressing confounding. While the back-door criterion enables identification through adjustment for observed covariates, it fails in the presence of unmeasured…

Methodology · Statistics 2026-05-04 Anna Guo , David Benkeser , Razieh Nabi

Causal effect estimation from data typically requires assumptions about the cause-effect relations either explicitly in the form of a causal graph structure within the Pearlian framework, or implicitly in terms of (conditional) independence…

Machine Learning · Computer Science 2023-06-21 Abhin Shah , Karthikeyan Shanmugam , Murat Kocaoglu

Assume that cause-effect relationships between variables can be described as a directed acyclic graph and the corresponding linear structural equation model.We consider the identification problem of total effects in the presence of latent…

Methodology · Statistics 2012-06-18 Zhihong Cai , Manabu Kuroki

Pearl has provided the back door criterion, the front door criterion and the conditional instrumental variable (IV) method as identifiability criteria for total effects. In some situations, these three criteria can be applied to identifying…

Methodology · Statistics 2012-07-19 Manabu Kuroki , Zhihong Cai

In recent years, the front-door criterion (FDC) has been increasingly noticed in economics and social science. However, most economists still resist collecting this tool in their empirical toolkit. This article aims to incorporate the FDC…

Methodology · Statistics 2024-12-17 Zexuan Chen

Front-door adjustment gives a simple closed-form identification formula under the classical front-door criterion, but its applicability is often viewed as narrow. By contrast, the general ID algorithm can identify many more causal effects…

Machine Learning · Statistics 2025-12-03 Jianqiao Mao , Max A. Little

We present a method for estimating causal effects in time series data when fine-grained information about the outcome of interest is available. Specifically, we examine what we call the split-door setting, where the outcome variable can be…

Methodology · Statistics 2018-06-15 Amit Sharma , Jake M. Hofman , Duncan J. Watts

An essential and challenging problem in causal inference is causal effect estimation from observational data. The problem becomes more difficult with the presence of unobserved confounding variables. The front-door adjustment is a practical…

Machine Learning · Computer Science 2023-10-04 Ziqi Xu , Debo Cheng , Jiuyong Li , Jixue Liu , Lin Liu , Kui Yu

Pearl's do calculus is a complete axiomatic approach to learn the identifiable causal effects from observational data. When such an effect is not identifiable, it is necessary to perform a collection of often costly interventions in the…

Machine Learning · Computer Science 2023-08-21 Sina Akbari , Jalal Etesami , Negar Kiyavash

Identifying causal parameters from observational data is fraught with subtleties due to the issues of selection bias and confounding. In addition, more complex questions of interest, such as effects of treatment on the treated and mediated…

Methodology · Statistics 2015-11-17 Ilya Shpitser , Eric Tchetgen Tchetgen

Proximal causal inference was recently proposed as a framework to identify causal effects from observational data in the presence of hidden confounders for which proxies are available. In this paper, we extend the proximal causal inference…

Statistics Theory · Mathematics 2023-01-27 AmirEmad Ghassami , Alan Yang , Ilya Shpitser , Eric Tchetgen Tchetgen

Confounder selection, namely choosing a set of covariates to control for confounding between a treatment and an outcome, is arguably the most important step in the design of an observational study. Previous methods, such as Pearl's…

Methodology · Statistics 2026-03-24 F. Richard Guo , Qingyuan Zhao

In the estimation of causal effects, one common method for removing the influence of confounders is to adjust the variables that satisfy the back-door criterion. However, it is not always possible to uniquely determine sets of such…

Machine Learning · Computer Science 2025-02-06 Atsushi Noda , Takashi Isozaki

Standard methods for inference about direct and indirect effects require stringent no unmeasured confounding assumptions which often fail to hold in practice, particularly in observational studies. The goal of this paper is to introduce a…

Methodology · Statistics 2019-09-25 Isabel R. Fulcher , Ilya Shpitser , Stella Marealle , Eric J. Tchetgen Tchetgen

An essential problem in causal inference is estimating causal effects from observational data. The problem becomes more challenging with the presence of unobserved confounders. When there are unobserved confounders, the commonly used…

Machine Learning · Computer Science 2023-04-25 Ziqi Xu , Debo Cheng , Jiuyong Li , Jixue Liu , Lin Liu , Kui Yu

Causal models communicate our assumptions about causes and effects in real-world phe- nomena. Often the interest lies in the identification of the effect of an action which means deriving an expression from the observed probability…

Machine Learning · Statistics 2018-06-20 Santtu Tikka , Juha Karvanen

This paper addresses the problem of estimating causal effects when adjustment variables in the back-door or front-door criterion are partially observed. For such scenarios, we derive bounds on the causal effects by solving two non-linear…

Methodology · Statistics 2021-06-24 Ang Li , Judea Pearl

Treatment effect estimation from observational data is a fundamental problem in causal inference. There are two very different schools of thought that have tackled this problem. On one hand, Pearlian framework commonly assumes structural…

Machine Learning · Computer Science 2022-03-01 Abhin Shah , Karthikeyan Shanmugam , Kartik Ahuja
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