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Causal discovery, the learning of causality in a data mining scenario, has been of strong scientific and theoretical interest as a starting point to identify "what causes what?" Contingent on assumptions and a proper learning algorithm, it…

Methodology · Statistics 2022-05-23 Gabriel Ruiz , Oscar Hernan Madrid Padilla , Qing Zhou

Recent progress in large language models has renewed interest in how multi-step reasoning is represented internally. While prior work often treats reasoning as a linear chain, many reasoning problems are more naturally modeled as directed…

Computation and Language · Computer Science 2026-04-07 Tianjun Zhong , Linyang He , Nima Mesgarani

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

Causal inference with observational data critically relies on untestable and extra-statistical assumptions that have (sometimes) testable implications. Well-known sets of assumptions that are sufficient to justify the causal interpretation…

Methodology · Statistics 2024-02-20 Pablo Geraldo Bastías

Deterministic variables are variables that are fully explained by one or more parent variables. They commonly arise when a variable has been algebraically constructed from one or more parent variables, as with composite variables, and in…

Background: There is increasing interest in approaches for analyzing the effect of exposure mixtures on health. A key issue is how to simultaneously analyze often highly collinear components of the mixture, which can create problems such as…

Methodology · Statistics 2020-07-06 Thomas F. Webster , Marc G. Weisskopf

Uncovering causal structures from observational data is crucial for understanding complex systems and making informed decisions. While reinforcement learning (RL) has shown promise in identifying these structures in the form of a directed…

Machine Learning · Computer Science 2026-03-24 Dong Li , Zhengzhang Chen , Xujiang Zhao , Linlin Yu , Zhong Chen , Yi He , Haifeng Chen , Chen Zhao

This paper considers the problem of estimating the structure of multiple related directed acyclic graph (DAG) models. Building on recent developments in exact estimation of DAGs using integer linear programming (ILP), we present an ILP…

Machine Learning · Statistics 2014-11-13 Chris J. Oates , Jim Q. Smith , Sach Mukherjee , James Cussens

The ultimate goal of most scientific studies is to understand the underlying causal mechanism between the involved variables. Structural causal models (SCMs) are widely used to represent such causal mechanisms. Given an SCM, causal queries…

Machine Learning · Statistics 2025-03-21 Beate Sick , Oliver Dürr

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

Causal interactions among a group of variables are often modeled by a single causal graph. In some domains, however, these interactions are best described by multiple co-existing causal graphs, e.g., in dynamical systems or genomics. This…

Machine Learning · Computer Science 2024-12-04 Burak Varıcı , Dmitriy Katz-Rogozhnikov , Dennis Wei , Prasanna Sattigeri , Ali Tajer

We consider the problem of learning the underlying causal structure among a set of variables, which are assumed to follow a Bayesian network or, more specifically, a linear recursive structural equation model (SEM) with the associated…

Statistics Theory · Mathematics 2025-08-05 Anamitra Chaudhuri , Anirban Bhattacharya , Yang Ni

Directed acyclic graphs (DAGs) are commonly used to represent causal relationships among random variables in graphical models. Applications of these models arise in the study of physical, as well as biological systems, where directed edges…

Machine Learning · Statistics 2009-12-01 Ali Shojaie , George Michailidis

Prevalent in biomedical applications (e.g., human phenotype research), multimodal datasets can provide valuable insights into the underlying physiological mechanisms. However, current machine learning (ML) models designed to analyze these…

Capturing the underlying structural causal relations represented by Directed Acyclic Graphs (DAGs) has been a fundamental task in various AI disciplines. Causal DAG learning via the continuous optimization framework has recently achieved…

Machine Learning · Computer Science 2024-06-11 Naiyu Yin , Tian Gao , Yue Yu , Qiang Ji

We consider the problem of learning causal information between random variables in directed acyclic graphs (DAGs) when allowing arbitrarily many latent and selection variables. The FCI (Fast Causal Inference) algorithm has been explicitly…

Methodology · Statistics 2012-05-30 Diego Colombo , Marloes H. Maathuis , Markus Kalisch , Thomas S. Richardson

Bayesian networks are probabilistic graphical models widely employed to understand dependencies in high dimensional data, and even to facilitate causal discovery. Learning the underlying network structure, which is encoded as a directed…

Machine Learning · Statistics 2022-02-03 Jack Kuipers , Polina Suter , Giusi Moffa

We consider graphs that represent pairwise marginal independencies amongst a set of variables (for instance, the zero entries of a covariance matrix for normal data). We characterize the directed acyclic graphs (DAGs) that faithfully…

Artificial Intelligence · Computer Science 2015-08-04 Johannes Textor , Alexander Idelberger , Maciej Liśkiewicz

Precise knowledge of causal directed acyclic graphs (DAGs) is assumed for standard approaches towards valid adjustment set selection for unbiased estimation, but in practice, the DAG is often inferred from data or expert knowledge,…

Statistics Theory · Mathematics 2025-11-14 Zhongyi Hu , Stéphanie van der Pas

Graphical causal models are an important tool for knowledge discovery because they can represent both the causal relations between variables and the multivariate probability distributions over the data. Once learned, causal graphs can be…

Artificial Intelligence · Computer Science 2017-04-11 Andrew J Sedgewick , Joseph D. Ramsey , Peter Spirtes , Clark Glymour , Panayiotis V. Benos
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