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In causal graphical models based on directed acyclic graphs (DAGs), directed paths represent causal pathways between the corresponding variables. The variable at the beginning of such a path is referred to as an ancestor of the variable at…

Machine Learning · Computer Science 2021-05-24 Wenyu Chen , Mathias Drton , Ali Shojaie

Learning the structure of directed acyclic graphs (DAGs) from observational data is a central problem in causal discovery, statistical signal processing, and machine learning. Under a linear Gaussian structural equation model (SEM) with…

Machine Learning · Computer Science 2026-05-27 Hamed Ajorlou , Samuel Rey , Gonzalo Mateos , Geert Leus , Antonio G. Marques

Discovering causal structures from multivariate time series is a key problem because interactions span across multiple lags and possibly involve instantaneous dependencies. Additionally, the search space of the dynamic graphs is…

Machine Learning · Computer Science 2026-05-19 Sourajit Das , Dibyajyoti Chakraborty , Romit Maulik

We study a family of regularized score-based estimators for learning the structure of a directed acyclic graph (DAG) for a multivariate normal distribution from high-dimensional data with $p\gg n$. Our main results establish support…

Statistics Theory · Mathematics 2017-10-03 Bryon Aragam , Arash A. Amini , Qing Zhou

A major problem of causal inference is the arrangement of dependent nodes in a directed acyclic graph (DAG) with path coefficients and observed confounders. Path coefficients do not provide the units to measure the strength of information…

Artificial Intelligence · Computer Science 2015-09-17 Pramod Kumar Parida , Tshilidzi Marwala , Snehashish Chakraverty

Recovering the underlying Directed Acyclic Graph (DAG) structures from observational data presents a formidable challenge, partly due to the combinatorial nature of the DAG-constrained optimization problem. Recently, researchers have…

Machine Learning · Computer Science 2025-03-26 Zhen Zhang , Ignavier Ng , Dong Gong , Yuhang Liu , Mingming Gong , Biwei Huang , Kun Zhang , Anton van den Hengel , Javen Qinfeng Shi

Causal DAGs(Directed Acyclic Graphs) are usually considered in a 2D plane. Edges indicate causal effects' directions and imply their corresponding time-passings. Due to the natural restriction of statistical models, effect estimation is…

Machine Learning · Computer Science 2023-09-26 Jia Li , Xiang Li , Xiaowei Jia , Michael Steinbach , Vipin Kumar

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…

Machine Learning · Computer Science 2024-02-14 Davin Choo , Kirankumar Shiragur

We propose to address the task of causal structure learning from data in a supervised manner. Existing work on learning causal directions by supervised learning is restricted to learning pairwise relation, and not well suited for whole DAG…

Machine Learning · Computer Science 2020-06-09 Hebi Li , Qi Xiao , Jin Tian

Time-varying causal models provide a powerful framework for studying dynamic scientific systems, yet most existing approaches assume that the underlying causal network is known a priori - an assumption rarely satisfied in real-world domains…

Machine Learning · Computer Science 2026-05-28 Dmitry Zaytsev , Valentina Kuskova , Michael Coppedge

This paper introduces a new framework for recovering causal graphs from observational data, leveraging the observation that the distribution of an effect, conditioned on its causes, remains invariant to changes in the prior distribution of…

Machine Learning · Computer Science 2026-02-04 Nang Hung Nguyen , Phi Le Nguyen , Thao Nguyen Truong , Trong Nghia Hoang , Masashi Sugiyama

Real world systems evolve in continuous-time according to their underlying causal relationships, yet their dynamics are often unknown. Existing approaches to learning such dynamics typically either discretize time -- leading to poor…

Machine Learning · Computer Science 2025-12-17 Nicholas Tagliapietra , Katharina Ensinger , Christoph Zimmer , Osman Mian

Causal structure discovery from observational data is fundamental to the causal understanding of autonomous systems such as medical decision support systems, advertising campaigns and self-driving cars. This is essential to solve well-known…

Despite several advances in recent years, learning causal structures represented by directed acyclic graphs (DAGs) remains a challenging task in high dimensional settings when the graphs to be learned are not sparse. In this paper, we…

Machine Learning · Computer Science 2023-05-16 Zhuangyan Fang , Shengyu Zhu , Jiji Zhang , Yue Liu , Zhitang Chen , Yangbo He

Learning directed acyclic graph (DAG) that describes the causality of observed data is a very challenging but important task. Due to the limited quantity and quality of observed data, and non-identifiability of causal graph, it is almost…

Machine Learning · Computer Science 2022-11-23 Dezhi Yang , Guoxian Yu , Jun Wang , Zhengtian Wu , Maozu Guo

We propose an empirical Bayes formulation of the structure learning problem, where the prior specification assumes that all node variables have the same error variance, an assumption known to ensure the identifiability of the underlying…

Computation · Statistics 2023-08-17 Hyunwoong Chang , James Cai , Quan Zhou

The structure learning problem consists of fitting data generated by a Directed Acyclic Graph (DAG) to correctly reconstruct its arcs. In this context, differentiable approaches constrain or regularize the optimization problem using a…

Machine Learning · Computer Science 2023-09-18 Riccardo Massidda , Francesco Landolfi , Martina Cinquini , Davide Bacciu

Directed acyclic graph (DAG) learning is a central task in structure discovery and causal inference. Although the field has witnessed remarkable advances over the past few years, it remains statistically and computationally challenging to…

Machine Learning · Statistics 2026-02-09 Ryan Thompson , Edwin V. Bonilla , Robert Kohn

Causal inference is a critical task across fields such as healthcare, economics, and the social sciences. While recent advances in machine learning, especially those based on the deep-learning architectures, have shown potential in…

Machine Learning · Statistics 2024-12-30 Manqing Liu , David R. Bellamy , Andrew L. Beam

There has been a growing interest in causal learning in recent years. Commonly used representations of causal structures, including Bayesian networks and structural equation models (SEM), take the form of directed acyclic graphs (DAGs). We…

Machine Learning · Computer Science 2025-11-20 Pavel Rytir , Ales Wodecki , Jakub Marecek
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