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Learning the directed acyclic graph (DAG) structure of a Bayesian network from observational data is a notoriously difficult problem for which many hardness results are known. In this paper we propose a provably polynomial-time algorithm…

Machine Learning · Computer Science 2019-06-04 Asish Ghoshal , Jean Honorio

Structural equation models and Bayesian networks have been widely used to analyze causal relations between continuous variables. In such frameworks, linear acyclic models are typically used to model the data-generating process of variables.…

Causal discovery is a crucial initial step in establishing causality from empirical data and background knowledge. Numerous algorithms have been developed for this purpose. Among them, the score-matching method has demonstrated superior…

Machine Learning · Statistics 2026-04-14 Hao Chen , Kai Yi

Discovering the causality from observational data is a crucial task in various scientific domains. With increasing awareness of privacy, data are not allowed to be exposed, and it is very hard to learn causal graphs from dispersed data,…

Machine Learning · Computer Science 2023-12-12 Dezhi Yang , Xintong He , Jun Wang , Guoxian Yu , Carlotta Domeniconi , Jinglin Zhang

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

We consider the problem of inferring the causal structure from observational data, especially when the structure is sparse. This type of problem is usually formulated as an inference of a directed acyclic graph (DAG) model. The linear…

Machine Learning · Statistics 2025-08-21 Kazuharu Harada , Hironori Fujisawa

We propose a joint order-based scoring framework for causal structure learning of directed acyclic graph (DAG) models under heterogeneous data settings. We show that leveraging heterogeneity improves the accuracy of causal ordering…

Methodology · Statistics 2026-05-18 Hyunwoong Chang , Fariha Taskin

Learning the structure of a causal graphical model using both observational and interventional data is a fundamental problem in many scientific fields. A promising direction is continuous optimization for score-based methods, which,…

Machine Learning · Computer Science 2022-02-28 Phillip Lippe , Taco Cohen , Efstratios Gavves

In complex multivariate systems, interactions among variables are defined by dependency structures, often encoded as directed acyclic graphs ($\text{DAGs}$). However, dependency structures can vary across subjects, and ignoring this…

Machine Learning · Statistics 2026-05-20 Honglin Du , Muxuan Liang , Xiang Zhong

Finding the structure of a graphical model has been received much attention in many fields. Recently, it is reported that the non-Gaussianity of data enables us to identify the structure of a directed acyclic graph without any prior…

Artificial Intelligence · Computer Science 2010-06-28 Yoshinobu Kawahara , Kenneth Bollen , Shohei Shimizu , Takashi Washio

Background: In epidemiology, causal inference and prediction modeling methodologies have been historically distinct. Directed Acyclic Graphs (DAGs) are used to model a priori causal assumptions and inform variable selection strategies for…

Methodology · Statistics 2020-07-03 Marco Piccininni , Stefan Konigorski , Jessica L Rohmann , Tobias Kurth

We introduce the problem of active causal structure learning with advice. In the typical well-studied setting, the learning algorithm is given the essential graph for the observational distribution and is asked to recover the underlying…

Machine Learning · Computer Science 2023-06-01 Davin Choo , Themis Gouleakis , Arnab Bhattacharyya

In this paper, we propose an algorithmic framework to automatically generate efficient deep neural networks and optimize their associated hyperparameters. The framework is based on evolving directed acyclic graphs (DAGs), defining a more…

Neural and Evolutionary Computing · Computer Science 2024-05-15 Julie Keisler , El-Ghazali Talbi , Sandra Claudel , Gilles Cabriel

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…

Machine Learning · Computer Science 2020-07-07 Elliot Creager , David Madras , Toniann Pitassi , Richard Zemel

This paper answers a fundamental question in artificial neural network (ANN) design: We do not need to build ANNs layer-by-layer sequentially to guarantee the Directed Acyclic Graph (DAG) property. Drawing inspiration from biological…

Neural and Evolutionary Computing · Computer Science 2024-02-07 Liangwei Yang , Hengrui Zhang , Zihe Song , Jiawei Zhang , Weizhi Zhang , Jing Ma , Philip S. Yu

This paper explores the role of Directed Acyclic Graphs (DAGs) as a representation of conditional independence relationships. We show that DAGs offer polynomially sound and complete inference mechanisms for inferring conditional…

Artificial Intelligence · Computer Science 2013-04-10 Dan Geiger , Judea Pearl

The search space of Bayesian Network structures is usually defined as Acyclic Directed Graphs (DAGs) and the search is done by local transformations of DAGs. But the space of Bayesian Networks is ordered by DAG Markov model inclusion and it…

Machine Learning · Computer Science 2013-01-14 Tomas Kocka , Robert Castelo

We present a graph-based technique for estimating sparse covariance matrices and their inverses from high-dimensional data. The method is based on learning a directed acyclic graph (DAG) and estimating parameters of a multivariate Gaussian…

Methodology · Statistics 2010-01-18 Philipp Rütimann , Peter Bühlmann

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…

Databases · Computer Science 2024-12-19 Amedeo Pachera , Mattia Palmiotto , Angela Bonifati , Andrea Mauri

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…

Machine Learning · Statistics 2023-05-02 Burak Varici , Emre Acarturk , Karthikeyan Shanmugam , Abhishek Kumar , Ali Tajer
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