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Transformer models have recently gained popularity in graph representation learning as they have the potential to learn complex relationships beyond the ones captured by regular graph neural networks. The main research question is how to…

Machine Learning · Computer Science 2023-10-31 Yuankai Luo , Veronika Thost , Lei Shi

This paper investigates in which cases continuous optimization for directed acyclic graph (DAG) structure learning can and cannot perform well and why this happens, and suggests possible directions to make the search procedure more…

Machine Learning · Computer Science 2024-08-20 Ignavier Ng , Biwei Huang , Kun Zhang

To represent the causal relationships between variables, a directed acyclic graph (DAG) is widely utilized in many areas, such as social sciences, epidemics, and genetics. Many causal structure learning approaches are developed to learn the…

Machine Learning · Statistics 2025-01-14 Jianian Wang , Rui Song

We consider the problem of discovering $K$ related Gaussian directed acyclic graphs (DAGs), where the involved graph structures share a consistent causal order and sparse unions of supports. Under the multi-task learning setting, we propose…

Machine Learning · Computer Science 2021-11-05 Xinshi Chen , Haoran Sun , Caleb Ellington , Eric Xing , Le Song

Directed Acyclic Graphs (DAGs) are central to uncovering causal structure in complex systems, yet learning a single DAG from data is often challenging: model uncertainty, finite samples, and a combinatorially large search space frequently…

Methodology · Statistics 2026-05-19 Yunan Wu , Yue Wang , Chunlin Li , Chenglong Ye

Causal structure learning has been a challenging task in the past decades and several mainstream approaches such as constraint- and score-based methods have been studied with theoretical guarantees. Recently, a new approach has transformed…

Machine Learning · Computer Science 2019-11-19 Ignavier Ng , Shengyu Zhu , Zhitang Chen , Zhuangyan Fang

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

We are interested in the problem of learning the directed acyclic graph (DAG) when data are generated from a linear structural equation model (SEM) and the causal structure can be characterized by a polytree. Under the Gaussian polytree…

Machine Learning · Statistics 2024-05-15 Xingmei Lou , Yu Hu , Xiaodong Li

Precise knowledge of causal directed acyclic graphs (DAGs) is assumed for standard approaches towards valid adjustment set selection for unbiased estimation, but in practice, the DAG is often inferred from data or expert knowledge,…

Statistics Theory · Mathematics 2025-11-14 Zhongyi Hu , Stéphanie van der Pas

In the modern age of social media and networks, graph representations of real-world phenomena have become an incredibly useful source to mine insights. Often, we are interested in understanding how entities in a graph are interconnected.…

Machine Learning · Computer Science 2021-12-16 Aneesh Komanduri , Justin Zhan

We introduce a new method to estimate the Markov equivalence class of a directed acyclic graph (DAG) in the presence of hidden variables, in settings where the underlying DAG among the observed variables is sparse, and there are a few…

Methodology · Statistics 2018-08-07 Benjamin Frot , Preetam Nandy , Marloes H. Maathuis

We explore if it is possible to learn a directed acyclic graph (DAG) from data without imposing explicitly the acyclicity constraint. In particular, for Gaussian distributions, we frame structural learning as a sparse matrix factorization…

Machine Learning · Statistics 2020-06-05 Gherardo Varando

Inferring the structure of directed acyclic graphs (DAGs) from data is a central challenge in causal discovery, particularly in modern high-dimensional settings where large-scale interventional data are increasingly available. While…

Bayesian Networks (BNs) represent conditional probability relations among a set of random variables (nodes) in the form of a directed acyclic graph (DAG), and have found diverse applications in knowledge discovery. We study the problem of…

Optimization and Control · Mathematics 2022-05-10 Simge Kucukyavuz , Ali Shojaie , Hasan Manzour , Linchuan Wei , Hao-Hsiang Wu

Bayesian networks (BNs) are widely used graphical models usable to draw statistical inference about Directed acyclic graphs (DAGs). We presented here Graph_sampler a fast free C language software for structural inference on BNs.…

Computation · Statistics 2016-02-05 Sagnik Datta , Ghislaine Gayraud , Eric Leclerc , Frederic Y. Bois

Directed Acyclic Graphical (DAG) models efficiently formulate causal relationships in complex systems. Traditional DAGs assume nodes to be scalar variables, characterizing complex systems under a facile and oversimplified form. This paper…

Methodology · Statistics 2024-04-23 Tian Lan , Ziyue Li , Junpeng Lin , Zhishuai Li , Lei Bai , Man Li , Fugee Tsung , Rui Zhao , Chen Zhang

Causal Bayesian networks (CBN) are popular graphical probabilistic models that encode causal relations among variables. Learning their graphical structure from observational data has received a lot of attention in the literature. When there…

Machine Learning · Computer Science 2024-08-22 Christophe Gonzales , Amir-Hosein Valizadeh

A directed acyclic graph (DAG) is the most common graphical model for representing causal relationships among a set of variables. When restricted to using only observational data, the structure of the ground truth DAG is identifiable only…

Data Structures and Algorithms · Computer Science 2018-09-12 AmirEmad Ghassami , Saber Salehkaleybar , Negar Kiyavash , Kun Zhang

Deep multi-view clustering incorporating graph learning has presented tremendous potential. Most methods encounter costly square time consumption w.r.t. data size. Theoretically, anchor-based graph learning can alleviate this limitation,…

Machine Learning · Computer Science 2025-04-15 Bocheng Wang , Chusheng Zeng , Mulin Chen , Xuelong Li

Identification and appropriate handling of inconsistencies in data at deployment time is crucial to reliably use machine learning models. While recent data-centric methods are able to identify such inconsistencies with respect to the…

Machine Learning · Computer Science 2024-02-29 Nicolas Huynh , Jeroen Berrevoets , Nabeel Seedat , Jonathan Crabbé , Zhaozhi Qian , Mihaela van der Schaar