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Federated causal discovery aims to uncover the causal relationships between entities while protecting data privacy, which has significant importance and numerous applications in real-world scenarios. Existing federated causal structure…

Machine Learning · Computer Science 2025-07-10 Wei Chen , Wanyang Gu , Linjun Peng , Ruichu Cai , Zhifeng Hao , Kun Zhang

A structural vector autoregressive (SVAR) process is a linear causal model for variables that evolve over a discrete set of time points and between which there may be lagged and instantaneous effects. The qualitative causal structure of an…

Statistics Theory · Mathematics 2024-08-19 Nicolas-Domenic Reiter , Jonas Wahl , Andreas Gerhardus , Jakob Runge

Causal discovery between collections of time-series data can help diagnose causes of symptoms and hopefully prevent faults before they occur. However, reliable causal discovery can be very challenging, especially when the data acquisition…

Machine Learning · Computer Science 2023-01-12 Haonan Chen , Bo Yuan Chang , Mohamed A. Naiel , Georges Younes , Steven Wardell , Stan Kleinikkink , John S. Zelek

To perform counterfactual reasoning in Structural Causal Models (SCMs), one needs to know the causal mechanisms, which provide factorizations of conditional distributions into noise sources and deterministic functions mapping realizations…

Machine Learning · Computer Science 2021-11-16 Guy Lorberbom , Daniel D. Johnson , Chris J. Maddison , Daniel Tarlow , Tamir Hazan

Causal discovery (CD) aims to discover the causal graph underlying the data generation mechanism of observed variables. In many real-world applications, the observed variables are vector-valued, such as in climate science where variables…

Methodology · Statistics 2025-05-16 Urmi Ninad , Jonas Wahl , Andreas Gerhardus , Jakob Runge

A typical problem in causal modeling is the instability of model structure learning, i.e., small changes in finite data can result in completely different optimal models. The present work introduces a novel causal modeling algorithm for…

Structural causal models are the basic modelling unit in Pearl's causal theory; in principle they allow us to solve counterfactuals, which are at the top rung of the ladder of causation. But they often contain latent variables that limit…

Artificial Intelligence · Computer Science 2021-11-23 Marco Zaffalon , Alessandro Antonucci , Rafael Cabañas

Most existing causal discovery methods rely on the assumption of no latent confounders, limiting their applicability in solving real-life problems. In this paper, we introduce a novel, versatile framework for causal discovery that…

Machine Learning · Computer Science 2023-12-19 Xinshuai Dong , Biwei Huang , Ignavier Ng , Xiangchen Song , Yujia Zheng , Songyao Jin , Roberto Legaspi , Peter Spirtes , Kun Zhang

Much of the causal discovery literature prioritises guaranteeing the identifiability of causal direction in statistical models. For structures within a Markov equivalence class, this requires strong assumptions which may not hold in…

Machine Learning · Statistics 2024-05-29 Anish Dhir , Samuel Power , Mark van der Wilk

Causal structure learning refers to a process of identifying causal structures from observational data, and it can have multiple applications in biomedicine and health care. This paper provides a practical review and tutorial on scalable…

Machine Learning · Computer Science 2023-01-20 Pulakesh Upadhyaya , Kai Zhang , Can Li , Xiaoqian Jiang , Yejin Kim

We formulate a general framework for building structural causal models (SCMs) with deep learning components. The proposed approach employs normalising flows and variational inference to enable tractable inference of exogenous noise…

Machine Learning · Statistics 2020-10-26 Nick Pawlowski , Daniel C. Castro , Ben Glocker

Nonlinear causal discovery from observational data imposes strict identifiability assumptions on the formulation of structural equations utilized in the data generating process. The evaluation of structure learning methods under assumption…

Machine Learning · Statistics 2024-12-17 Georg Velev , Stefan Lessmann

The importance of Synthetic Data Generation (SDG) has increased significantly in domains where data quality is poor or access is limited due to privacy and regulatory constraints. One such domain is recruitment, where publicly available…

Machine Learning · Computer Science 2025-11-24 Andrea Iommi , Antonio Mastropietro , Riccardo Guidotti , Anna Monreale , Salvatore Ruggieri

Causal representation learning (CRL) aims at recovering latent causal variables from high-dimensional observations to solve causal downstream tasks, such as predicting the effect of new interventions or more robust classification. A…

Machine Learning · Computer Science 2025-03-06 Dingling Yao , Dario Rancati , Riccardo Cadei , Marco Fumero , Francesco Locatello

Causal inference is essential for developing and evaluating medical interventions, yet real-world medical datasets are often difficult to access due to regulatory barriers. This makes synthetic data a potentially valuable asset that enables…

Machine Learning · Computer Science 2025-10-22 Harry Amad , Zhaozhi Qian , Dennis Frauen , Julianna Piskorz , Stefan Feuerriegel , Mihaela van der Schaar

Neurally-parameterized Structural Causal Models in the Pearlian notion to causality, referred to as NCM, were recently introduced as a step towards next-generation learning systems. However, said NCM are only concerned with the learning…

Machine Learning · Computer Science 2022-12-27 Matej Zečević , Devendra Singh Dhami , Kristian Kersting

A vast amount of expert and domain knowledge is captured by causal structural priors, yet there has been little research on testing such priors for generalization and data synthesis purposes. We propose a novel model architecture, Causal…

Machine Learning · Computer Science 2022-11-08 Jeffrey Jiang , Omead Pooladzandi , Sunay Bhat , Gregory Pottie

We formalize constraint-based structure learning of the "true" causal graph from observed data when unobserved variables are also existent. We provide conditions for a "natural" family of constraint-based structure-learning algorithms that…

Statistics Theory · Mathematics 2022-05-10 Kayvan Sadeghi , Terry Soo

Recently, Bj{\o}ru et al. proposed a novel divide-and-conquer algorithm for bounding counterfactual probabilities in structural causal models (SCMs). They assumed that the SCMs were learned from purely observational data, leading to an…

Artificial Intelligence · Computer Science 2025-11-19 Anna Rodum Bjøru , Rafael Cabañas , Helge Langseth , Antonio Salmerón

Causal structure learning with data from multiple contexts carries both opportunities and challenges. Opportunities arise from considering shared and context-specific causal graphs enabling to generalize and transfer causal knowledge across…

Machine Learning · Computer Science 2024-10-29 Martin Rabel , Wiebke Günther , Jakob Runge , Andreas Gerhardus