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The combinatorial problem of learning directed acyclic graphs (DAGs) from data was recently framed as a purely continuous optimization problem by leveraging a differentiable acyclicity characterization of DAGs based on the trace of a matrix…

Machine Learning · Computer Science 2023-01-18 Kevin Bello , Bryon Aragam , Pradeep Ravikumar

Directed acyclic graphs (DAGs) are directed graphs in which there is no path from a vertex to itself. DAGs are an omnipresent data structure in computer science and the problem of counting the DAGs of given number of vertices and to sample…

Discrete Mathematics · Computer Science 2025-10-03 Martin Pépin , Alfredo Viola

When designing new molecules with particular properties, it is not only important what to make but crucially how to make it. These instructions form a synthesis directed acyclic graph (DAG), describing how a large vocabulary of simple…

Machine Learning · Computer Science 2020-12-22 John Bradshaw , Brooks Paige , Matt J. Kusner , Marwin H. S. Segler , José Miguel Hernández-Lobato

Directed acyclic graph (DAG) models have become widely studied and applied in statistics and machine learning -- indeed, their simplicity facilitates efficient procedures for learning and inference. Unfortunately, these models are not…

Machine Learning · Statistics 2022-07-20 Bryan Andrews , Gregory F. Cooper , Thomas S. Richardson , Peter Spirtes

It is known that from purely observational data, a causal DAG is identifiable only up to its Markov equivalence class, and for many ground truth DAGs, the direction of a large portion of the edges will be remained unidentified. The golden…

Machine Learning · Computer Science 2019-10-15 AmirEmad Ghassami , Saber Salehkaleybar , Negar Kiyavash

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

Directed acyclic graphs provide a fundamental tool for representing directed dependence structures in multivariate network data, and are widely used to model financial and economic networks. However, accurate and interpretable estimation…

Methodology · Statistics 2026-05-26 Huihang Liu , Wenhui Li , Xinyu Zhang

Bayesian structure learning allows one to capture uncertainty over the causal directed acyclic graph (DAG) responsible for generating given data. In this work, we present Tractable Uncertainty for STructure learning (TRUST), a framework for…

Machine Learning · Computer Science 2022-07-05 Benjie Wang , Matthew Wicker , Marta Kwiatkowska

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

Bayesian inference of Bayesian network structures is often performed by sampling directed acyclic graphs along an appropriately constructed Markov chain. We present two techniques to improve sampling. First, we give an efficient…

Machine Learning · Computer Science 2025-10-30 Daniele Nikzad , Alexander Zhilkin , Juha Harviainen , Jack Kuipers , Giusi Moffa , Mikko Koivisto

We develop simple methods for constructing parameter priors for model choice among Directed Acyclic Graphical (DAG) models. In particular, we introduce several assumptions that permit the construction of parameter priors for a large number…

Machine Learning · Statistics 2021-07-01 Dan Geiger , David Heckerman

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

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

We consider the problem of structure learning for bow-free acyclic path diagrams (BAPs). BAPs can be viewed as a generalization of linear Gaussian DAG models that allow for certain hidden variables. We present a first method for this…

Machine Learning · Statistics 2017-12-05 Christopher Nowzohour , Marloes H. Maathuis , Robin J. Evans , Peter Bühlmann

The causal dependence in data is often characterized by Directed Acyclic Graphical (DAG) models, widely used in many areas. Causal discovery aims to recover the DAG structure using observational data. This paper focuses on causal discovery…

Machine Learning · Computer Science 2024-06-12 Boxin Zhao , Weishi Wang , Dingyuan Zhu , Ziqi Liu , Dong Wang , Zhiqiang Zhang , Jun Zhou , Mladen Kolar

Learning directed acyclic graphs (DAGs) from data is a challenging task both in theory and in practice, because the number of possible DAGs scales superexponentially with the number of nodes. In this paper, we study the problem of learning…

Machine Learning · Computer Science 2019-04-25 Hasan Manzour , Simge Küçükyavuz , Ali Shojaie

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…

Methodology · Statistics 2018-11-08 Yuhao Wang , Chandler Squires , Anastasiya Belyaeva , Caroline Uhler

The use of directed acyclic graphs (DAGs) to represent conditional independence relations among random variables has proved fruitful in a variety of ways. Recursive structural equation models are one kind of DAG model. However,…

Artificial Intelligence · Computer Science 2013-02-21 Peter L. Spirtes

We present a method to generate directed acyclic graphs (DAGs) using deep reinforcement learning, specifically deep Q-learning. Generating graphs with specified structures is an important and challenging task in various application fields,…

Machine Learning · Computer Science 2019-06-07 Laura D'Arcy , Padraig Corcoran , Alun Preece

This paper addresses a gap in the current state of the art by providing a solution for modeling causal relationships that evolve over time and occur at different time scales. Specifically, we introduce the multiscale non-stationary directed…

Machine Learning · Computer Science 2023-11-21 Gabriele D'Acunto , Gianmarco De Francisci Morales , Paolo Bajardi , Francesco Bonchi