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We consider the problem of estimating causal DAG models from a mix of observational and interventional data, when the intervention targets are partially or completely unknown. This problem is highly relevant for example in genomics, since…

统计方法学 · 统计学 2020-06-23 Chandler Squires , Yuhao Wang , Caroline Uhler

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…

统计方法学 · 统计学 2023-12-04 Alessandro Mascaro , Federico Castelletti

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…

统计方法学 · 统计学 2012-09-27 Alain Hauser , Peter Bühlmann

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,…

统计方法学 · 统计学 2014-06-03 Alain Hauser , Peter Bühlmann

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…

机器学习 · 计算机科学 2019-10-15 AmirEmad Ghassami , Saber Salehkaleybar , Negar Kiyavash

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…

人工智能 · 计算机科学 2018-12-18 Amin Jaber , Jiji Zhang , Elias Bareinboim

Causal discovery is a fundamental problem with applications spanning various areas in science and engineering. It is well understood that solely using observational data, one can only orient the causal graph up to its Markov equivalence…

机器学习 · 计算机科学 2024-10-29 Zihan Zhou , Muhammad Qasim Elahi , Murat Kocaoglu

In many applications we have both observational and (randomized) interventional data. We propose a Gaussian likelihood framework for joint modeling of such different data-types, based on global parameters consisting of a directed acyclic…

统计理论 · 数学 2014-06-03 Alain Hauser , Peter Bühlmann

Causal DAGs (also known as Bayesian networks) are a popular tool for encoding conditional dependencies between random variables. In a causal DAG, the random variables are modeled as vertices in the DAG, and it is stipulated that every…

数据结构与算法 · 计算机科学 2024-07-04 Vidya Sagar Sharma

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…

机器学习 · 统计学 2022-03-08 Zhuangyan Fang , Yue Liu , Zhi Geng , Shengyu Zhu , Yangbo He

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…

统计理论 · 数学 2020-06-09 Liam Solus

Causal interactions among a group of variables are often modeled by a single causal graph. In some domains, however, these interactions are best described by multiple co-existing causal graphs, e.g., in dynamical systems or genomics. This…

机器学习 · 计算机科学 2024-12-04 Burak Varıcı , Dmitriy Katz-Rogozhnikov , Dennis Wei , Prasanna Sattigeri , Ali Tajer

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…

机器学习 · 统计学 2019-03-07 Dmitriy Katz , Karthikeyan Shanmugam , Chandler Squires , Caroline Uhler

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.…

机器学习 · 统计学 2018-01-19 Nishant Subramani

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…

统计方法学 · 统计学 2009-09-02 Marloes H. Maathuis , Markus Kalisch , Peter Bühlmann

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…

统计理论 · 数学 2021-03-04 F. Richard Guo , Emilija Perković

Learning causal relationships between variables is a fundamental task in causal inference and directed acyclic graphs (DAGs) are a popular choice to represent the causal relationships. As one can recover a causal graph only up to its Markov…

机器学习 · 计算机科学 2024-02-14 Davin Choo , Kirankumar Shiragur

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…

机器学习 · 统计学 2022-10-17 Rohit Bhattacharya , Razieh Nabi , Ilya Shpitser

This paper studies the causal representation learning problem when the latent causal variables are observed indirectly through an unknown linear transformation. The objectives are: (i) recovering the unknown linear transformation (up to…

机器学习 · 统计学 2023-05-02 Burak Varici , Emre Acarturk , Karthikeyan Shanmugam , Abhishek Kumar , Ali Tajer

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…

统计方法学 · 统计学 2022-06-03 Federico Castelletti , Guido Consonni
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