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Due to its human-interpretability and invariance properties, Directed Acyclic Graph (DAG) has been a foundational tool across various areas of AI research, leading to significant advancements. However, DAG learning remains highly…

Machine Learning · Computer Science 2025-06-24 Naiyu Yin , Tian Gao , Yue Yu

We consider modeling a binary response variable together with a set of covariates for two groups under observational data. The grouping variable can be the confounding variable (the common cause of treatment and outcome), gender,…

Methodology · Statistics 2023-04-13 Rasool Tahmasbi , Keyvan Tahmasbi

The extension of counterfactual causal graphic model with three variables of vertex set in directed acyclic graph (DAG) is discussed in this paper by extending two- value distribution to three-value distribution of the variables involved in…

Methodology · Statistics 2012-07-02 Jingwei Liu

In many choice modeling applications, people demand is frequently characterized as multiple discrete, which means that people choose multiple items simultaneously. The analysis and prediction of people behavior in multiple discrete choice…

Econometrics · Economics 2023-06-08 Hung Tran , Tien Mai

An encoding of directed acyclic graphs (DAGs) on labeled vertices is proposed, which is a generalisation of the Pr\"ufer code for labeled trees, if a certain orienation on the edges of the tree is introduced. Hence it is shown that the…

Combinatorics · Mathematics 2023-04-04 Zsófia Juhász

Bayesian networks represent relations between variables using a directed acyclic graph (DAG). Learning the DAG is an NP-hard problem and exact learning algorithms are feasible only for small sets of variables. We propose two scalable…

Machine Learning · Computer Science 2021-07-02 Pierre Gillot , Pekka Parviainen

Understanding the causal relationships between data variables can provide crucial insights into the construction of tabular datasets. Most existing causality learning methods typically focus on applying a single identifiable causal model,…

Machine Learning · Computer Science 2026-04-07 Hristo Petkov , Calum MacLellan , Feng Dong

Viral information like rumors or fake news is spread over a communication network like a virus infection in a unidirectional manner: entity $i$ conveys information to a neighbor $j$, resulting in two equally informed (infected) parties.…

Social and Information Networks · Computer Science 2023-12-25 Chinthaka Dinesh , Gene Cheung , Fei Chen , Yuejiang Li , H. Vicky Zhao

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…

Machine Learning · Statistics 2022-10-17 Rohit Bhattacharya , Razieh Nabi , Ilya Shpitser

Directed acyclic graphs (DAGs) and associated probability models are widely used to model neural connectivity and communication channels. In many experiments, data are collected from multiple subjects whose connectivities may differ but are…

Methodology · Statistics 2014-11-17 Chris J. Oates , Lilia Carneiro da Costa , Tom Nichols

Directed acyclic graphs (DAGs) with hidden variables are often used to characterize causal relations between variables in a system. When some variables are unobserved, DAGs imply a notoriously complicated set of constraints on the…

Machine Learning · Statistics 2023-02-23 Noam Finkelstein , Beata Zjawin , Elie Wolfe , Ilya Shpitser , Robert W. Spekkens

This paper addresses the problem of estimating causal directed acyclic graphs in linear non-Gaussian acyclic models with latent confounders (LvLiNGAM). Existing methods assume mutually independent latent confounders or cannot properly…

Machine Learning · Computer Science 2025-10-17 Ming Cai , Penggang Gao , Hisayuki Hara

Complex stochastic models represented by directed acyclic graphs (DAGs) are increasingly employed to synthesise multiple, imperfect and disparate sources of evidence, to estimate quantities that are difficult to measure directly. The…

Methodology · Statistics 2013-10-03 Anne M. Presanis , David Ohlssen , David J. Spiegelhalter , Daniela De Angelis

Causal Models are like Dependency Graphs and Belief Nets in that they provide a structure and a set of assumptions from which a joint distribution can, in principle, be computed. Unlike Dependency Graphs, Causal Models are models of…

Artificial Intelligence · Computer Science 2013-03-08 John F. Lemmer

Causal representation learning aims to recover the latent causal variables and their causal relations, typically represented by directed acyclic graphs (DAGs), from low-level observations such as image pixels. A prevailing line of research…

Machine Learning · Computer Science 2026-04-28 Ignavier Ng , Shaoan Xie , Xinshuai Dong , Peter Spirtes , Kun Zhang

Many software packages have been developed to assist researchers in drawing directed acyclic graphs (DAGs), each with unique functionality and usability. We examine five of the most common software to generate DAGs: TikZ, DAGitty, ggdag,…

Other Statistics · Statistics 2024-04-03 Amy J. Pitts , Charlotte R. Fowler

We introduce priors and algorithms to perform Bayesian inference in Gaussian models defined by acyclic directed mixed graphs. Such a class of graphs, composed of directed and bi-directed edges, is a representation of conditional…

Methodology · Statistics 2012-07-02 Ricardo Silva , Zoubin Ghahramani

Causal discovery aims to recover graphs that represent causal relations among given variables from observations, and new methods are constantly being proposed. Increasingly, the community raises questions about how much progress is made,…

Machine Learning · Computer Science 2025-10-30 Zhufeng Li , Niki Kilbertus

Bayesian networks are directed acyclic graphs representing independence relationships among a set of random variables. A random variable can be regarded as a set of exhaustive and mutually exclusive propositions. We argue that there are…

Artificial Intelligence · Computer Science 2013-03-25 Dekang Lin

We consider the problem of identifying a conditional causal effect through covariate adjustment. We focus on the setting where the causal graph is known up to one of two types of graphs: a maximally oriented partially directed acyclic graph…

Methodology · Statistics 2024-03-13 Sara LaPlante , Emilija Perković
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