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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

The discovery of causal relationships from observational data is very challenging. Many recent approaches rely on complexity or uncertainty concepts to impose constraints on probability distributions, aiming to identify specific classes of…

Methodology · Statistics 2024-04-09 Aramayis Dallakyan , Yang Ni

We deal with the combinatorial problem of learning directed acyclic graph (DAG) structure from observational data adhering to a linear structural equation model (SEM). Leveraging advances in differentiable, nonconvex characterizations of…

Machine Learning · Computer Science 2024-03-14 Seyed Saman Saboksayr , Gonzalo Mateos , Mariano Tepper

Causal discovery is essential for understanding relationships among variables of interest in many scientific domains. In this paper, we focus on permutation-based methods for learning causal graphs in Linear Gaussian Acyclic Models…

Machine Learning · Computer Science 2024-10-31 Mohammad Shahverdikondori , Ehsan Mokhtarian , Negar Kiyavash

Directed Acyclic Graphs (DAGs) are a standard tool in causal modeling, but their suitability for capturing the complexity of large-scale multimodal data is questionable. In practice, real-world multimodal datasets are often collected from…

Machine Learning · Computer Science 2026-03-03 Yuhang Liu , Zhen Zhang , Dong Gong , Erdun Gao , Biwei Huang , Mingming Gong , Anton van den Hengel , Kun Zhang , Javen Qinfeng Shi

We study the problem of causal structure learning with essentially no assumptions on the functional relationships and noise. We develop DAG-FOCI, a computationally fast algorithm for this setting that is based on the FOCI variable selection…

Statistics Theory · Mathematics 2022-03-21 Mona Azadkia , Armeen Taeb , Peter Bühlmann

We develop a framework for learning sparse nonparametric directed acyclic graphs (DAGs) from data. Our approach is based on a recent algebraic characterization of DAGs that led to a fully continuous program for score-based learning of DAG…

Machine Learning · Statistics 2020-03-25 Xun Zheng , Chen Dan , Bryon Aragam , Pradeep Ravikumar , Eric P. Xing

Deep learning (DL) has recently drawn much attention in image analysis, natural language process, and high-dimensional medical data analysis. Under the causal direct acyclic graph (DAG) interpretation, the input variables without incoming…

Applications · Statistics 2022-03-22 Jong-Hyeon Jeong , Yichen Jia

Discovering causal structures among latent factors from observed data is a particularly challenging problem. Despite some efforts for this problem, existing methods focus on the single-domain data only. In this paper, we propose…

Machine Learning · Computer Science 2022-04-26 Yan Zeng , Shohei Shimizu , Ruichu Cai , Feng Xie , Michio Yamamoto , Zhifeng Hao

Directed acyclic graphical (DAG) models are a powerful tool for representing causal relationships among jointly distributed random variables, especially concerning data from across different experimental settings. However, it is not always…

Machine Learning · Statistics 2026-04-03 Francisco Madaleno , Pratik Misra , Alex Markham

We study causal discovery from observational data in linear Gaussian systems affected by \emph{mixed latent confounding}, where some unobserved factors act broadly across many variables while others influence only small subsets. This…

Machine Learning · Computer Science 2026-01-01 Amir Asiaee , Samhita Pal , James O'quinn , James P. Long

Existing approaches to differentiable structure learning of directed acyclic graphs (DAGs) rely on strong identifiability assumptions in order to guarantee that global minimizers of the acyclicity-constrained optimization problem identifies…

Machine Learning · Statistics 2024-11-28 Chang Deng , Kevin Bello , Pradeep Ravikumar , Bryon Aragam

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

Fair machine learning aims to avoid treating individuals or sub-populations unfavourably based on \textit{sensitive attributes}, such as gender and race. Those methods in fair machine learning that are built on causal inference ascertain…

Machine Learning · Computer Science 2023-01-18 Aoqi Zuo , Susan Wei , Tongliang Liu , Bo Han , Kun Zhang , Mingming Gong

The PC and FCI algorithms are popular constraint-based methods for learning the structure of directed acyclic graphs (DAGs) in the absence and presence of latent and selection variables, respectively. These algorithms (and their…

Methodology · Statistics 2022-03-14 Shubhadeep Chakraborty , Ali Shojaie

Discovering the underlying Directed Acyclic Graph (DAG) from time series observational data is highly challenging due to the dynamic nature and complex nonlinear interactions between variables. Existing methods typically search for the…

Machine Learning · Computer Science 2025-03-21 Jiajun Zhang , Boyang Qiang , Xiaoyu Guo , Weiwei Xing , Yue Cheng , Witold Pedrycz

Causal processes in biomedicine may contain cycles, evolve over time or differ between populations. However, many graphical models cannot accommodate these conditions. We propose to model causation using a mixture of directed cyclic graphs…

Machine Learning · Statistics 2020-09-08 Eric V. Strobl

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

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 study structure learning for linear Gaussian SEMs in the presence of latent confounding. Existing continuous methods excel when errors are independent, while deconfounding-first pipelines rely on pervasive factor structure or…

Machine Learning · Computer Science 2025-10-03 Samhita Pal , James O'quinn , Kaveh Aryan , Heather Pua , James P. Long , Amir Asiaee
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