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The investigation of directed acyclic graphs (DAGs) encoding the same Markov property, that is the same conditional independence relations of multivariate observational distributions, has a long tradition; many algorithms exist for model…

Methodology · Statistics 2012-09-27 Alain Hauser , Peter Bühlmann

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 consider the problem of learning causal Directed Acyclic Graphs (DAGs) using combinations of observational and interventional experimental data. Current methods tailored to this setting assume that interventions either destroy…

Methodology · Statistics 2023-12-04 Alessandro Mascaro , Federico Castelletti

Directed acyclic graph (DAG) models are popular for capturing causal relationships. From observational and interventional data, a DAG model can only be determined up to its \emph{interventional Markov equivalence class} (I-MEC). We…

Machine Learning · Statistics 2019-03-07 Dmitriy Katz , Karthikeyan Shanmugam , Chandler Squires , Caroline Uhler

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…

Methodology · Statistics 2023-06-29 Federico Castelletti , Guido Consonni , Marco Luigi Della Vedova

The invariance properties of interventional distributions relative to the observational distribution, and how these properties allow us to refine Markov equivalence classes (MECs) of DAGs, is central to causal DAG discovery algorithms that…

Statistics Theory · Mathematics 2020-06-09 Liam Solus

Graphical models based on Directed Acyclic Graphs (DAGs) are widely used to answer causal questions across a variety of scientific and social disciplines. However, observational data alone cannot distinguish in general between DAGs…

Methodology · Statistics 2022-06-03 Federico Castelletti , Guido Consonni

A well-studied challenge that arises in the structure learning problem of causal directed acyclic graphs (DAG) is that using observational data, one can only learn the graph up to a "Markov equivalence class" (MEC). The remaining undirected…

Machine Learning · Computer Science 2022-05-20 Vibhor Porwal , Piyush Srivastava , Gaurav Sinha

It is known that from purely observational data, a causal DAG is identifiable only up to its Markov equivalence class, and for many ground truth DAGs, the direction of a large portion of the edges will be remained unidentified. The golden…

Machine Learning · Computer Science 2019-10-15 AmirEmad Ghassami , Saber Salehkaleybar , Negar Kiyavash

We consider the problem of learning causal DAGs in the setting where both observational and interventional data is available. This setting is common in biology, where gene regulatory networks can be intervened on using chemical reagents or…

Methodology · Statistics 2019-02-08 Karren D. Yang , Abigail Katcoff , Caroline Uhler

Bayesian networks, with structure given by a directed acyclic graph (DAG), are a popular class of graphical models. However, learning Bayesian networks from discrete or categorical data is particularly challenging, due to the large…

Methodology · Statistics 2018-02-06 Jiaying Gu , Fei Fu , Qing Zhou

We consider a binary response which is potentially affected by a set of continuous variables. Of special interest is the causal effect on the response due to an intervention on a specific variable. The latter can be meaningfully determined…

Methodology · Statistics 2020-09-11 Federico Castelletti , Guido Consonni

A directed acyclic graph (DAG) partially represents the conditional independence structure among observations of a system if the local Markov condition holds, that is, if every variable is independent of its non-descendants given its…

Information Theory · Computer Science 2010-10-28 Bastian Steudel , Nihat Ay

The increasing availability of interventional data offers new opportunities for causal discovery, with gene perturbation studies providing a prominent example. Such data are typically count-valued and subject to substantial measurement…

Methodology · Statistics 2026-03-30 Yijiao Zhang , Hongzhe Li

A directed acyclic graph (DAG) is the most common graphical model for representing causal relationships among a set of variables. When restricted to using only observational data, the structure of the ground truth DAG is identifiable only…

Data Structures and Algorithms · Computer Science 2018-09-12 AmirEmad Ghassami , Saber Salehkaleybar , Negar Kiyavash , Kun Zhang

From observational data alone, a causal DAG is only identifiable up to Markov equivalence. Interventional data generally improves identifiability; however, the gain of an intervention strongly depends on the intervention target, that is,…

Methodology · Statistics 2014-06-03 Alain Hauser , Peter Bühlmann

Acyclic directed mixed graphs, also known as semi-Markov models represent the conditional independence structure induced on an observed margin by a DAG model with latent variables. In this paper we present the first method for fitting these…

Methodology · Statistics 2012-03-19 Robin J. Evans , Thomas S. Richardson

This paper studies the problem of learning the correlation structure of a set of intervention functions defined on the directed acyclic graph (DAG) of a causal model. This is useful when we are interested in jointly learning the causal…

Machine Learning · Statistics 2020-09-29 Virginia Aglietti , Theodoros Damoulas , Mauricio Álvarez , Javier González

Directed acyclic graphical (DAG) models are a powerful tool for representing causal relationships among jointly distributed random variables, especially concerning data from across different experimental settings. However, it is not always…

Machine Learning · Statistics 2026-04-03 Francisco Madaleno , Pratik Misra , Alex Markham

Directed acyclic graphs (DAGs) are commonly used to represent causal relationships among random variables in graphical models. Applications of these models arise in the study of physical, as well as biological systems, where directed edges…

Machine Learning · Statistics 2009-12-01 Ali Shojaie , George Michailidis
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