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Causal discovery methods aim to determine the causal direction between variables using observational data. Functional causal discovery methods, such as those based on the Linear Non-Gaussian Acyclic Model (LiNGAM), rely on structural and…

Methodology · Statistics 2024-09-27 Shreya Prakash , Fan Xia , Elena Erosheva

Regularization improves generalization of supervised models to out-of-sample data. Prior works have shown that prediction in the causal direction (effect from cause) results in lower testing error than the anti-causal direction. However,…

Machine Learning · Computer Science 2020-09-29 Trent Kyono , Yao Zhang , Mihaela van der Schaar

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

Discovery of causal relationships from observational data is an important problem in many areas. Several recent results have established the identifiability of causal DAGs with non-Gaussian and/or nonlinear structural equation models…

Machine Learning · Statistics 2020-12-15 Bingling Wang , Qing Zhou

Identification theory for causal effects in causal models associated with hidden variable directed acyclic graphs (DAGs) is well studied. However, the corresponding algorithms are underused due to the complexity of estimating the…

Machine Learning · Statistics 2022-10-17 Rohit Bhattacharya , Razieh Nabi , Ilya Shpitser

The feed-forward relationship naturally observed in time-dependent processes and in a diverse number of real systems -such as some food-webs and electronic and neural wiring- can be described in terms of so-called directed acyclic graphs…

Physics and Society · Physics 2015-05-19 Joaquín Goñi , Bernat Corominas-Murtra , Ricard V. Solé , Carlos Rodríguez-Caso

Learning directed acyclic graph (DAG) that describes the causality of observed data is a very challenging but important task. Due to the limited quantity and quality of observed data, and non-identifiability of causal graph, it is almost…

Machine Learning · Computer Science 2022-11-23 Dezhi Yang , Guoxian Yu , Jun Wang , Zhengtian Wu , Maozu Guo

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

We study the problem of actively learning a non-parametric choice model based on consumers' decisions. We present a negative result showing that such choice models may not be identifiable. To overcome the identifiability problem, we…

Machine Learning · Computer Science 2024-04-26 Fransisca Susan , Negin Golrezaei , Ehsan Emamjomeh-Zadeh , David Kempe

Structural discovery amongst a set of variables is of interest in both static and dynamic settings. In the presence of lead-lag dependencies in the data, the dynamics of the system can be represented through a structural equation model…

Methodology · Statistics 2023-11-28 Jiahe Lin , Huitian Lei , George Michailidis

Directed acyclic graph (DAG) learning is a central task in structure discovery and causal inference. Although the field has witnessed remarkable advances over the past few years, it remains statistically and computationally challenging to…

Machine Learning · Statistics 2026-02-09 Ryan Thompson , Edwin V. Bonilla , Robert Kohn

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

Causal discovery from observational data is an important tool in many branches of science. Under certain assumptions it allows scientists to explain phenomena, predict, and make decisions. In the large sample limit, sound and complete…

Machine Learning · Statistics 2021-07-13 Shami Nisimov , Yaniv Gurwicz , Raanan Y. Rohekar , Gal Novik

We establish a new framework for statistical estimation of directed acyclic graphs (DAGs) when data are generated from a linear, possibly non-Gaussian structural equation model. Our framework consists of two parts: (1) inferring the…

Machine Learning · Statistics 2013-11-15 Po-Ling Loh , Peter Bühlmann

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

One of the established approaches to causal discovery consists of combining directed acyclic graphs (DAGs) with structural causal models (SCMs) to describe the functional dependencies of effects on their causes. Possible identifiability of…

Methodology · Statistics 2023-08-11 Sarah Leyder , Jakob Raymaekers , Tim Verdonck

Many causal discovery algorithms, including the celebrated FCI algorithm, output a Partial Ancestral Graph (PAG). PAGs serve as an abstract graphical representation of the underlying causal structure, modeled by directed acyclic graphs with…

Methodology · Statistics 2026-03-30 Leihao Chen , Joris M. Mooij

Although many algorithms have been designed to construct Bayesian network structures using different approaches and principles, they all employ only two methods: those based on independence criteria, and those based on a scoring function…

Artificial Intelligence · Computer Science 2011-07-04 S. Acid , L. M. de Campos

The data drawn from biological, economic, and social systems are often confounded due to the presence of unmeasured variables. Prior work in causal discovery has focused on discrete search procedures for selecting acyclic directed mixed…

Machine Learning · Computer Science 2021-02-26 Rohit Bhattacharya , Tushar Nagarajan , Daniel Malinsky , Ilya Shpitser

Causal discovery methods such as LiNGAM identify causal structure from observational data by assuming mutually independent disturbances. This assumption is fragile: shared volatility, common scale effects, or other forms of dependence can…

Methodology · Statistics 2026-05-07 Geert Mesters , Alvaro Ribot , Anna Seigal , Piotr Zwiernik
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