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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

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

We describe computationally efficient methods for learning mixtures in which each component is a directed acyclic graphical model (mixtures of DAGs or MDAGs). We argue that simple search-and-score algorithms are infeasible for a variety of…

Machine Learning · Computer Science 2015-05-19 Bo Thiesson , Christopher Meek , David Maxwell Chickering , David Heckerman

Temporal background information can improve causal discovery algorithms by orienting edges and identifying relevant adjustment sets. We develop the Temporal Greedy Equivalence Search (TGES) algorithm and terminology essential for…

Methodology · Statistics 2025-02-13 Tobias Ellegaard Larsen , Claus Thorn Ekstrøm , Anne Helby Petersen

Adaptive gradient methods such as Adam have been shown to be very effective for training deep neural networks (DNNs) by tracking the second moment of gradients to compute the individual learning rates. Differently from existing methods, we…

Machine Learning · Computer Science 2019-02-26 Guoqiang Zhang , Kenta Niwa , W. Bastiaan Kleijn

Understanding the causal relationships between data variables can provide crucial insights into the construction of tabular datasets. Most existing causality learning methods typically focus on applying a single identifiable causal model,…

Machine Learning · Computer Science 2026-04-07 Hristo Petkov , Calum MacLellan , Feng Dong

Causal structure learning from observational data remains a non-trivial task due to various factors such as finite sampling, unobserved confounding factors, and measurement errors. Constraint-based and score-based methods tend to suffer…

Machine Learning · Computer Science 2022-11-09 Rezaur Rashid , Jawad Chowdhury , Gabriel Terejanu

Understanding causal relationships in multivariate time series is essential for predicting and controlling dynamic systems in fields like economics, neuroscience, and climate science. However, existing causal discovery methods often assume…

Machine Learning · Computer Science 2025-02-20 Abdellah Rahmani , Pascal Frossard

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

Causal graphs, such as directed acyclic graphs (DAGs) and partial ancestral graphs (PAGs), represent causal relationships among variables in a model. Methods exist for learning DAGs and PAGs from data and for converting DAGs to PAGs.…

Machine Learning · Statistics 2018-01-19 Nishant Subramani

Learning the structure of Directed Acyclic Graphs (DAGs) presents a significant challenge due to the vast combinatorial search space of possible graphs, which scales exponentially with the number of nodes. Recent advancements have redefined…

Machine Learning · Computer Science 2024-11-01 Klea Ziu , Slavomír Hanzely , Loka Li , Kun Zhang , Martin Takáč , Dmitry Kamzolov

Multivariate time series (MTS) data such as time course gene expression data in genomics are often collected to study the dynamic nature of the systems. These data provide important information about the causal dependency among a set of…

Applications · Statistics 2013-12-03 Wanlu Deng , Zhi Geng , Hongzhe Li

We present a novel perspective and algorithm for learning directed acyclic graphs (DAGs) from data generated by a linear structural equation model (SEM). First, we show that a linear SEM can be viewed as a linear transform that, in prior…

Machine Learning · Computer Science 2024-06-21 Panagiotis Misiakos , Chris Wendler , Markus Püschel

Estimating causal models from observational data is a crucial task in data analysis. For continuous-valued data, Shimizu et al. have proposed a linear acyclic non-Gaussian model to understand the data generating process, and have shown that…

Machine Learning · Computer Science 2018-02-19 Chao Li , Shohei Shimizu

Representation learning models for graphs are a successful family of techniques that project nodes into feature spaces that can be exploited by other machine learning algorithms. Since many real-world networks are inherently dynamic, with…

Machine Learning · Computer Science 2020-06-26 Simone Piaggesi , André Panisson

Causal structure learning has long been the central task of inferring causal insights from data. Despite the abundance of real-world processes exhibiting higher-order mechanisms, however, an explicit treatment of interactions in causal…

Machine Learning · Computer Science 2025-11-07 James Enouen , Yujia Zheng , Ignavier Ng , Yan Liu , Kun Zhang

A directed acyclic graph (DAG) provides valuable prior knowledge that is often discarded in regression tasks in machine learning. We show that the independences arising from the presence of collider structures in DAGs provide meaningful…

Machine Learning · Statistics 2023-06-22 Shahine Bouabid , Jake Fawkes , Dino Sejdinovic

This work addresses the problem of learning directed acyclic graphs (DAGs) from nodal observations generated by a linear structural equation model. DAG learning is a central task in signal processing, machine learning, and causal inference,…

Machine Learning · Computer Science 2026-05-20 Samuel Rey , Madeline navarro , Gonzalo Mateos

To reduce doctors' workload, deep-learning-based automatic medical report generation has recently attracted more and more research efforts, where deep convolutional neural networks (CNNs) are employed to encode the input images, and…

Artificial Intelligence · Computer Science 2022-10-26 Wenting Xu , Zhenghua Xu , Junyang Chen , Chang Qi , Thomas Lukasiewicz

This paper proposes a novel multi-agent reinforcement learning (MARL) method to learn multiple coordinated agents under directed acyclic graph (DAG) constraints. Unlike existing MARL approaches, our method explicitly exploits the DAG…