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The problem of learning a directed acyclic graph (DAG) up to Markov equivalence is equivalent to the problem of finding a permutation of the variables that induces the sparsest graph. Without additional assumptions, this task is known to be…

Methodology · Statistics 2020-11-10 Chandler Squires , Joshua Amaniampong , Caroline Uhler

Causal models seek to unravel the cause-effect relationships among variables from observed data, as opposed to mere mappings among them, as traditional regression models do. This paper introduces a novel causal discovery algorithm designed…

Machine Learning · Computer Science 2024-10-03 Saeed Mohseni-Sehdeh , Walid Saad

Bayesian causal discovery aims to infer the posterior distribution over causal models from observed data, quantifying epistemic uncertainty and benefiting downstream tasks. However, computational challenges arise due to joint inference over…

Machine Learning · Computer Science 2023-12-11 Yashas Annadani , Nick Pawlowski , Joel Jennings , Stefan Bauer , Cheng Zhang , Wenbo Gong

Existing causal discovery methods based on combinatorial optimization or search are slow, prohibiting their application on large-scale datasets. In response, more recent methods attempt to address this limitation by formulating causal…

Machine Learning · Computer Science 2024-03-07 Victor Akinwande , J. Zico Kolter

Estimating the structure of Bayesian networks as directed acyclic graphs (DAGs) from observational data is a fundamental challenge, particularly in causal discovery. Bayesian approaches excel by quantifying uncertainty and addressing…

Machine Learning · Computer Science 2026-02-17 Edwin V. Bonilla , Pantelis Elinas , He Zhao , Maurizio Filippone , Vassili Kitsios , Terry O'Kane

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

Existing score-based methods for directed acyclic graph (DAG) learning from observational data struggle to recover the causal graph accurately and sample-efficiently. To overcome this, in this study, we propose DrBO (DAG recovery via…

Machine Learning · Computer Science 2025-01-28 Bao Duong , Sunil Gupta , Thin Nguyen

Several causal discovery algorithms have been proposed. However, when the sample size is small relative to the number of variables, the accuracy of estimating causal graphs using existing methods decreases. And some methods are not feasible…

Machine Learning · Statistics 2025-10-06 Ming Cai , Hisayuki Hara

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

Many real-world decision-making tasks require learning causal relationships between a set of variables. Traditional causal discovery methods, however, require that all variables are observed, which is often not feasible in practical…

Methodology · Statistics 2023-06-27 Raj Agrawal , Chandler Squires , Neha Prasad , Caroline Uhler

We focus on the extension of bivariate causal learning methods into multivariate problem settings in a systematic manner via a novel framework. It is purposive to augment the scale to which bivariate causal discovery approaches can be…

Methodology · Statistics 2023-05-29 Hongyi Chen , Maurits Kaptein

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 the causal structure that underlies data is a crucial step towards robust real-world decision making. The majority of existing work in causal inference focuses on determining a single directed acyclic graph (DAG) or a Markov…

Machine Learning · Computer Science 2021-06-15 Yashas Annadani , Jonas Rothfuss , Alexandre Lacoste , Nino Scherrer , Anirudh Goyal , Yoshua Bengio , Stefan Bauer

In the algorithm Intersort, Chevalley et al. (2024) proposed a score-based method to discover the causal order of variables in a Directed Acyclic Graph (DAG) model, leveraging interventional data to outperform existing methods. However, as…

Machine Learning · Computer Science 2024-10-14 Mathieu Chevalley , Arash Mehrjou , Patrick Schwab

The aim in many sciences is to understand the mechanisms that underlie the observed distribution of variables, starting from a set of initial hypotheses. Causal discovery allows us to infer mechanisms as sets of cause and effect…

Machine Learning · Computer Science 2025-03-05 Ashka Shah , Adela DePavia , Nathaniel Hudson , Ian Foster , Rick Stevens

Causal discovery methods can identify valid adjustment sets for causal effect estimation for a pair of target variables, even when the underlying causal graph is unknown. Global causal discovery methods focus on learning the whole causal…

Machine Learning · Statistics 2026-04-01 Mátyás Schubert , Tom Claassen , Sara Magliacane

The number of artificial intelligence algorithms for learning causal models from data is growing rapidly. Most ``causal discovery'' or ``causal structure learning'' algorithms are primarily validated through simulation studies. However, no…

Methodology · Statistics 2024-05-24 Bryan Andrews , Erich Kummerfeld

We develop estimation for potentially high-dimensional additive structural equation models. A key component of our approach is to decouple order search among the variables from feature or edge selection in a directed acyclic graph encoding…

Methodology · Statistics 2014-12-02 Peter Bühlmann , Jonas Peters , Jan Ernest

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

Artificial Intelligence has achieved remarkable advancements in recent years, yet much of its progress relies on identifying increasingly complex correlations. Enabling causality awareness in AI has the potential to enhance its performance…

Artificial Intelligence · Computer Science 2025-10-10 Matteo Gregorini , Chiara Boldrini , Lorenzo Valerio
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