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We consider identifying a conditional causal effect when a graph is known up to a maximally oriented partially directed acyclic graph (MPDAG). An MPDAG represents an equivalence class of graphs that is restricted by background knowledge and…

Artificial Intelligence · Computer Science 2025-07-22 Sara LaPlante , Emilija Perković

Covariate adjustment is a widely used approach to estimate total causal effects from observational data. Several graphical criteria have been developed in recent years to identify valid covariates for adjustment from graphical causal…

Statistics Theory · Mathematics 2015-07-07 Emilija Perković , Johannes Textor , Markus Kalisch , Marloes H. Maathuis

Assessing the magnitude of cause-and-effect relations is one of the central challenges found throughout the empirical sciences. The problem of identification of causal effects is concerned with determining whether a causal effect can be…

Artificial Intelligence · Computer Science 2018-12-18 Amin Jaber , Jiji Zhang , Elias Bareinboim

Observational studies in fields such as epidemiology often rely on covariate adjustment to estimate causal effects. Classical graphical criteria, like the back-door criterion and the generalized adjustment criterion, are powerful tools for…

Methodology · Statistics 2025-12-24 Isabela Belciug , Simon Ferreira , Charles K. Assaad

We develop a necessary and sufficient causal identification criterion for maximally oriented partially directed acyclic graphs (MPDAGs). MPDAGs as a class of graphs include directed acyclic graphs (DAGs), completed partially directed…

Statistics Theory · Mathematics 2025-07-23 Emilija Perković

We present a graphical criterion for covariate adjustment that is sound and complete for four different classes of causal graphical models: directed acyclic graphs (DAGs), maximum ancestral graphs (MAGs), completed partially directed…

Statistics Theory · Mathematics 2018-06-20 Emilija Perković , Johannes Textor , Markus Kalisch , Marloes H. Maathuis

Principled reasoning about the identifiability of causal effects from non-experimental data is an important application of graphical causal models. This paper focuses on effects that are identifiable by covariate adjustment, a commonly used…

Artificial Intelligence · Computer Science 2019-01-25 Benito van der Zander , Maciej Liśkiewicz , Johannes Textor

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

Covariate adjustment is a commonly used method for total causal effect estimation. In recent years, graphical criteria have been developed to identify all valid adjustment sets, that is, all covariate sets that can be used for this purpose.…

Statistics Theory · Mathematics 2022-05-11 Leonard Henckel , Emilija Perković , Marloes H. Maathuis

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

We develop terminology and methods for working with maximally oriented partially directed acyclic graphs (maximal PDAGs). Maximal PDAGs arise from imposing restrictions on a Markov equivalence class of directed acyclic graphs, or…

Statistics Theory · Mathematics 2018-06-20 Emilija Perković , Markus Kalisch , Maloes H. Maathuis

This paper considers inference of causal structure in a class of graphical models called "conditional DAGs". These are directed acyclic graph (DAG) models with two kinds of variables, primary and secondary. The secondary variables are used…

Methodology · Statistics 2014-11-12 Chris J. Oates , Jim Q. Smith , Sach Mukherjee

Causal graphs, such as directed acyclic graphs (DAGs) and partial ancestral graphs (PAGs), represent causal relationships among variables in a model. Methods exist for learning DAGs and PAGs from data and for converting DAGs to PAGs.…

Machine Learning · Statistics 2018-01-19 Nishant Subramani

Pairwise causal background knowledge about the existence or absence of causal edges and paths is frequently encountered in observational studies. Such constraints allow the shared directed and undirected edges in the constrained subclass of…

Artificial Intelligence · Computer Science 2026-01-06 Zhuangyan Fang , Ruiqi Zhao , Yue Liu , Yangbo He

Identifying and controlling bias is a key problem in empirical sciences. Causal diagram theory provides graphical criteria for deciding whether and how causal effects can be identified from observed (nonexperimental) data by covariate…

Artificial Intelligence · Computer Science 2012-02-20 Johannes Textor , Maciej Liskiewicz

Causal effect identification typically requires a fully specified causal graph, which can be difficult to obtain in practice. We provide a sufficient criterion for identifying causal effects from a candidate set of Markov equivalence…

Methodology · Statistics 2025-06-19 Kai Z. Teh , Kayvan Sadeghi , Terry Soo

In observational studies, when a total causal effect of interest is not identified, the set of all possible effects can be reported instead. This typically occurs when the underlying causal DAG is only known up to a Markov equivalence…

Statistics Theory · Mathematics 2021-03-04 F. Richard Guo , Emilija Perković

Causality is important for designing interpretable and robust methods in artificial intelligence research. We propose a local approach to identify whether a variable is a cause of a given target under the framework of causal graphical…

Machine Learning · Statistics 2022-03-08 Zhuangyan Fang , Yue Liu , Zhi Geng , Shengyu Zhu , Yangbo He

Identifying effects of actions (treatments) on outcome variables from observational data and causal assumptions is a fundamental problem in causal inference. This identification is made difficult by the presence of confounders which can be…

Methodology · Statistics 2012-03-19 Ilya Shpitser , Tyler VanderWeele , James M. Robins

This paper concerns the assessment of the effects of actions from a combination of nonexperimental data and causal assumptions encoded in the form of a directed acyclic graph in which some variables are presumed to be unobserved. We provide…

Artificial Intelligence · Computer Science 2012-07-19 Jin Tian
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