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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…

统计方法学 · 统计学 2025-12-24 Isabela Belciug , Simon Ferreira , Charles K. Assaad

Statistical inference of directed relations given some unspecified interventions (i.e., the intervention targets are unknown) is challenging. In this article, we test hypothesized directed relations with unspecified interventions. First, we…

统计方法学 · 统计学 2023-03-02 Chunlin Li , Xiaotong Shen , Wei Pan

The perceived advantage of machine learning (ML) models is that they are flexible and can incorporate a large number of features. However, many of these are typically correlated or dependent, and incorporating all of them can hinder model…

应用统计 · 统计学 2025-03-11 Anwesha Bhattacharyya , Yaqun Wang , Joel Vaughan , Vijayan N. Nair

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

We consider the problem of estimating the differences between two causal directed acyclic graph (DAG) models with a shared topological order given i.i.d. samples from each model. This is of interest for example in genomics, where changes in…

统计方法学 · 统计学 2018-11-08 Yuhao Wang , Chandler Squires , Anastasiya Belyaeva , Caroline Uhler

In this paper we consider the problem of learning undirected graphical models from data generated according to the Glauber dynamics. The Glauber dynamics is a Markov chain that sequentially updates individual nodes (variables) in a…

机器学习 · 计算机科学 2014-12-02 Guy Bresler , David Gamarnik , Devavrat Shah

Directed acyclic graphs (DAGs) constitute a central modeling tool to enable principled reasoning about cause-effect interactions in complex systems. However, since the causal structure underlying a group of variables is often unknown and…

机器学习 · 统计学 2026-05-25 Gonzalo Mateos , Samuel Rey , Hamed Ajorlou , Mariano Tepper

We study two problems related to recovering causal graphs from interventional data: (i) $\textit{verification}$, where the task is to check if a purported causal graph is correct, and (ii) $\textit{search}$, where the task is to recover the…

机器学习 · 计算机科学 2022-10-11 Davin Choo , Kirankumar Shiragur , Arnab Bhattacharyya

Graphical causal models led to the development of complete non-parametric identification theory in arbitrary structured systems, and general approaches to efficient inference. Nevertheless, graphical approaches to causal inference have not…

统计方法学 · 统计学 2021-11-02 AmirEmad Ghassami , Ilya Shpitser

Significant progress has been made in developing identification and estimation techniques for missing data problems where modeling assumptions can be described via a directed acyclic graph. The validity of results using such techniques rely…

统计方法学 · 统计学 2023-06-13 Razieh Nabi , Rohit Bhattacharya

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

We propose an extension of the Contextual Graph Markov Model, a deep and probabilistic machine learning model for graphs, to model the distribution of edge features. Our approach is architectural, as we introduce an additional Bayesian…

机器学习 · 计算机科学 2023-08-21 Daniele Atzeni , Federico Errica , Davide Bacciu , Alessio Micheli

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

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

Linear non-Gaussian causal models postulate that each random variable is a linear function of parent variables and non-Gaussian exogenous error terms. We study identification of the linear coefficients when such models contain latent…

统计方法学 · 统计学 2026-03-05 Daniele Tramontano , Mathias Drton , Jalal Etesami

We describe computationally efficient methods for learning mixtures in which each component is a directed acyclic graphical model (mixtures of DAGs or MDAGs). We argue that simple search-and-score algorithms are infeasible for a variety of…

机器学习 · 计算机科学 2015-05-19 Bo Thiesson , Christopher Meek , David Maxwell Chickering , David Heckerman

Inferring the potential consequences of an unobserved event is a fundamental scientific question. To this end, Pearl's celebrated do-calculus provides a set of inference rules to derive an interventional probability from an observational…

离散数学 · 计算机科学 2021-08-10 Benjamin Heymann , Michel de Lara , Jean-Philippe Chancelier

A structural equation model (SEM) is an effective framework to reason over causal relationships represented via a directed acyclic graph (DAG). Recent advances have enabled effective maximum-likelihood point estimation of DAGs from…

机器学习 · 计算机科学 2021-12-07 Chris Cundy , Aditya Grover , Stefano Ermon

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…

人工智能 · 计算机科学 2023-12-05 Debo Cheng , Jiuyong Li , Lin Liu , Jixue Liu , Thuc Duy Le

Causal graphs (CGs) are compact representations of the knowledge of the data generating processes behind the data distributions. When a CG is available, e.g., from the domain knowledge, we can infer the conditional independence (CI)…

机器学习 · 计算机科学 2021-08-18 Takeshi Teshima , Masashi Sugiyama