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In many fields of scientific research and real-world applications, unbiased estimation of causal effects from non-experimental data is crucial for understanding the mechanism underlying the data and for decision-making on effective…

Artificial Intelligence · Computer Science 2023-12-05 Debo Cheng , Jiuyong Li , Lin Liu , Jixue Liu , Thuc Duy Le

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

Recursive linear structural equation models are widely used to postulate causal mechanisms underlying observational data. In these models, each variable equals a linear combination of a subset of the remaining variables plus an error term.…

Statistics Theory · Mathematics 2022-03-21 F. Richard Guo , Emilija Perković

Identification theory for causal effects in causal models associated with hidden variable directed acyclic graphs (DAGs) is well studied. However, the corresponding algorithms are underused due to the complexity of estimating the…

Machine Learning · Statistics 2022-10-17 Rohit Bhattacharya , Razieh Nabi , Ilya Shpitser

There exist several approaches for estimating causal effects in time series when latent confounding is present. Many of these approaches rely on additional auxiliary observed variables or time series such as instruments, negative controls…

Methodology · Statistics 2025-05-27 Tom Hochsprung , Jakob Runge , Andreas Gerhardus

Understanding causal mechanisms across different populations is essential for designing effective public health interventions. Recently, difference graphs have been introduced as a tool to visually represent causal variations between two…

Artificial Intelligence · Computer Science 2025-02-18 Charles K. Assaad

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

We assume that we have observational data generated from an unknown underlying directed acyclic graph (DAG) model. A DAG is typically not identifiable from observational data, but it is possible to consistently estimate the equivalence…

Methodology · Statistics 2009-09-02 Marloes H. Maathuis , Markus Kalisch , Peter Bühlmann

We develop a criterion to certify whether causal effects are identifiable in linear structural equation models with latent variables. Linear structural equation models correspond to directed graphs whose nodes represent the random variables…

Statistics Theory · Mathematics 2025-07-25 Nils Sturma , Mathias Drton

An important step for any causal inference study design is understanding the distribution of the treated and control subjects in terms of measured baseline covariates. However, not all baseline variation is equally important. In the…

Methodology · Statistics 2021-07-02 Rachael C. Aikens , Michael Baiocchi

Having a large number of covariates can have a negative impact on the quality of causal effect estimation since confounding adjustment becomes unreliable when the number of covariates is large relative to the samples available. Propensity…

Methodology · Statistics 2020-09-15 Debo Cheng , Jiuyong Li , Lin Liu , Jixue Liu

We study the problem of selecting covariates for unbiased estimation of the total causal effect.Existing approaches typically rely on global causal structure learning over all variables, or on strong assumptions such as causal sufficiency -…

Machine Learning · Statistics 2026-05-22 Zeyu Liu , Zheng Li , Feng Xie , Yan Zeng , Hao Zhang , Kun Zhang

The problem of selecting optimal backdoor adjustment sets to estimate causal effects in graphical models with hidden and conditioned variables is addressed. Previous work has defined optimality as achieving the smallest asymptotic…

Machine Learning · Computer Science 2023-06-26 Jakob Runge

Scientists often use directed acyclic graphs (days) to model the qualitative structure of causal theories, allowing the parameters to be estimated from observational data. Two causal models are equivalent if there is no experiment which…

Artificial Intelligence · Computer Science 2013-04-05 Tom S. Verma , Judea Pearl

Graphical models are widely used in diverse application domains to model the conditional dependencies amongst a collection of random variables. In this paper, we consider settings where the graph structure is covariate-dependent, and…

Machine Learning · Statistics 2025-04-24 Jiahe Lin , Yikai Zhang , George Michailidis

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

Through recognizing causal subgraphs, causal graph learning (CGL) has risen to be a promising approach for improving the generalizability of graph neural networks under out-of-distribution (OOD) scenarios. However, the empirical successes…

Machine Learning · Computer Science 2025-07-02 Yujia Yin , Tianyi Qu , Zihao Wang , Yifan Chen

In randomized clinical trials, adjustments for baseline covariates at both design and analysis stages are highly encouraged by regulatory agencies. A recent trend is to use a model-assisted approach for covariate adjustment to gain…

Methodology · Statistics 2021-07-14 Ting Ye , Jun Shao , Yanyao Yi , Qingyuan Zhao

Directed acyclic graphs provide a fundamental tool for representing directed dependence structures in multivariate network data, and are widely used to model financial and economic networks. However, accurate and interpretable estimation…

Methodology · Statistics 2026-05-26 Huihang Liu , Wenhui Li , Xinyu Zhang

Estimating causal effects from observational data requires identifying valid adjustment sets. This task is especially challenging in realistic settings where latent confounding and feedback loops are present. Existing approaches typically…

Machine Learning · Computer Science 2026-05-08 Ana Leticia Garcez Vicente , Gijs van Seeventer , Saber Salehkaleybar