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Maximal Ancestral Graphs (MAGs) provide an abstract representation of Directed Acyclic Graphs (DAGs) with latent (selection) variables. These graphical objects encode information about ancestral relations and d-separations of the DAGs they…

离散数学 · 计算机科学 2025-09-25 Binghua Yao , Joris M. Mooij

We consider a a collection of categorical random variables. Of special interest is the causal effect on an outcome variable following an intervention on another variable. Conditionally on a Directed Acyclic Graph (DAG), we assume that the…

统计方法学 · 统计学 2023-06-29 Federico Castelletti , Guido Consonni , Marco Luigi Della Vedova

Choices based on observational data depend on beliefs about which correlations reflect causality. An agent predicts the consequence of available actions using a dataset and her subjective beliefs about causality represented by a directed…

理论经济学 · 经济学 2025-03-21 Andrew Ellis , Heidi Christina Thysen

Learning the causal structure that underlies data is a crucial step towards robust real-world decision making. The majority of existing work in causal inference focuses on determining a single directed acyclic graph (DAG) or a Markov…

Directed acyclic graphs (DAGs) are commonly used to model causal relationships among random variables. In general, learning the DAG structure is both computationally and statistically challenging. Moreover, without additional information,…

机器学习 · 统计学 2024-03-26 Ali Shojaie , Wenyu Chen

Conditional independence models associated with directed acyclic graphs (DAGs) may be characterized in at least three different ways: via a factorization, the global Markov property (given by the d-separation criterion), and the local…

统计方法学 · 统计学 2023-09-27 Thomas S. Richardson , Robin J. Evans , James M. Robins , Ilya Shpitser

In many application areas---lending, education, and online recommenders, for example---fairness and equity concerns emerge when a machine learning system interacts with a dynamically changing environment to produce both immediate and…

机器学习 · 计算机科学 2020-07-07 Elliot Creager , David Madras , Toniann Pitassi , Richard Zemel

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…

人工智能 · 计算机科学 2013-04-05 Tom S. Verma , Judea Pearl

The main approach to defining equivalence among acyclic directed causal graphical models is based on the conditional independence relationships in the distributions that the causal models can generate, in terms of the Markov equivalence.…

机器学习 · 计算机科学 2020-07-03 AmirEmad Ghassami , Alan Yang , Negar Kiyavash , Kun Zhang

Causal discovery, the learning of causality in a data mining scenario, has been of strong scientific and theoretical interest as a starting point to identify "what causes what?" Contingent on assumptions and a proper learning algorithm, it…

统计方法学 · 统计学 2022-05-23 Gabriel Ruiz , Oscar Hernan Madrid Padilla , Qing Zhou

We make the case for incorporating a notion of time into causal directed acyclic graphs (DAGs). We demonstrate that nontemporal causal DAGs are ambiguous and obstruct justification of the acyclicity assumption. Assuming that causes precede…

统计方法学 · 统计学 2026-04-22 Alexander G. Reisach , Alberto Suárez , Sebastian Weichwald , Antoine Chambaz

Graphs are expressive abstractions representing more effectively relationships in data and enabling data science tasks. They are also a widely adopted paradigm in causal inference focusing on causal directed acyclic graphs. Causal DAGs…

数据库 · 计算机科学 2024-12-19 Amedeo Pachera , Mattia Palmiotto , Angela Bonifati , Andrea Mauri

Statistical relationships in observed data can arise for several different reasons: the observed variables may be causally related, they may share a latent common cause, or there may be selection bias. Each of these scenarios can be…

统计理论 · 数学 2025-09-30 Ryan Carey , Marina Maciel Ansanelli , Elie Wolfe , Robin J. Evans

Directed acyclic graph (DAG) models are widely used to represent causal relationships among random variables in many application domains. This paper studies a special class of non-Gaussian DAG models, where the conditional variance of each…

机器学习 · 统计学 2021-11-03 Wei Zhou , Xin He , Wei Zhong , Junhui Wang

Recursive linear structural equation models and the associated directed acyclic graphs (DAGs) play an important role in causal discovery. The classic identifiability result for this class of models states that when only observational data…

统计理论 · 数学 2023-08-21 Jun Wu , Mathias Drton

A causal model is an abstract representation of a physical system as a directed acyclic graph (DAG), where the statistical dependencies are encoded using a graphical criterion called `d-separation'. Recent work by Wood & Spekkens shows that…

量子物理 · 物理学 2015-08-10 Jacques Pienaar , Caslav Brukner

Deterministic variables are variables that are fully explained by one or more parent variables. They commonly arise when a variable has been algebraically constructed from one or more parent variables, as with composite variables, and in…

We propose a novel score-based approach to learning a directed acyclic graph (DAG) from observational data. We adapt a recently proposed continuous constrained optimization formulation to allow for nonlinear relationships between variables…

机器学习 · 计算机科学 2020-02-19 Sébastien Lachapelle , Philippe Brouillard , Tristan Deleu , Simon Lacoste-Julien

Directed acyclic graph (DAG) learning is a central task in structure discovery and causal inference. Although the field has witnessed remarkable advances over the past few years, it remains statistically and computationally challenging to…

机器学习 · 统计学 2026-02-09 Ryan Thompson , Edwin V. Bonilla , Robert Kohn

Social science theories often postulate causal relationships among a set of variables or events. Although directed acyclic graphs (DAGs) are increasingly used to represent these theories, their full potential has not yet been realized in…

机器学习 · 统计学 2024-01-17 Sourabh Balgi , Adel Daoud , Jose M. Peña , Geoffrey T. Wodtke , Jesse Zhou