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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…

We consider the problem of causal discovery (a.k.a., causal structure learning) in a multi-domain setting. We assume that the causal functions are invariant across the domains, while the distribution of the exogenous noise may vary. Under…

Machine Learning · Computer Science 2025-05-01 Kasra Jalaldoust , Saber Salehkaleybar , Negar Kiyavash

In this paper we present a comprehensive view of prominent causal discovery algorithms, categorized into two main categories (1) assuming acyclic and no latent variables, and (2) allowing both cycles and latent variables, along with…

Artificial Intelligence · Computer Science 2017-09-13 Karamjit Singh , Garima Gupta , Vartika Tewari , Gautam Shroff

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

Structural-equations models (SEMs) are perhaps the most commonly used framework for modeling causality. However, as we show, naively extending this framework to infinitely many variables, which is necessary, for example, to model dynamical…

Artificial Intelligence · Computer Science 2021-12-20 Spencer Peters , Joseph Y. Halpern

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

Causal models with unobserved variables impose nontrivial constraints on the distributions over the observed variables. When a common cause of two variables is unobserved, it is impossible to uncover the causal relation between them without…

Statistics Theory · Mathematics 2021-12-14 Beata Zjawin , Elie Wolfe , Robert W. Spekkens

The ability to conduct interventions plays a pivotal role in learning causal relationships among variables, thus facilitating applications across diverse scientific disciplines such as genomics, economics, and machine learning. However, in…

Machine Learning · Statistics 2024-11-04 Abhinav Kumar , Kirankumar Shiragur , Caroline Uhler

Given a response $Y$ and a vector $X = (X^1, \dots, X^d)$ of $d$ predictors, we investigate the problem of inferring direct causes of $Y$ among the vector $X$. Models for $Y$ that use all of its causal covariates as predictors enjoy the…

Statistics Theory · Mathematics 2020-03-12 Rune Christiansen , Jonas Peters

We consider identifiability of partially linear additive structural equation models with Gaussian noise (PLSEMs) and estimation of distributionally equivalent models to a given PLSEM. Thereby, we also include robustness results for errors…

Statistics Theory · Mathematics 2017-12-15 Dominik Rothenhäusler , Jan Ernest , Peter Bühlmann

By taking into account the nonlinear effect of the cause, the inner noise effect, and the measurement distortion effect in the observed variables, the post-nonlinear (PNL) causal model has demonstrated its excellent performance in…

Machine Learning · Statistics 2012-05-14 Kun Zhang , Aapo Hyvarinen

In the univariate case, we show that by comparing the individual complexities of univariate cause and effect, one can identify the cause and the effect, without considering their interaction at all. In our framework, complexities are…

Machine Learning · Computer Science 2020-02-25 Tomer Galanti , Ofir Nabati , Lior Wolf

In this work, we consider the problem of robust parameter estimation from observational data in the context of linear structural equation models (LSEMs). LSEMs are a popular and well-studied class of models for inferring causality in the…

Machine Learning · Computer Science 2020-07-15 Karthik Abinav Sankararaman , Anand Louis , Navin Goyal

Inducing causal relationships from observations is a classic problem in machine learning. Most work in causality starts from the premise that the causal variables themselves are observed. However, for AI agents such as robots trying to make…

If $X,Y,Z$ denote sets of random variables, two different data sources may contain samples from $P_{X,Y}$ and $P_{Y,Z}$, respectively. We argue that causal inference can help inferring properties of the 'unobserved joint distributions'…

Statistics Theory · Mathematics 2018-05-18 Dominik Janzing

Complex systems can be modelled at various levels of detail. Ideally, causal models of the same system should be consistent with one another in the sense that they agree in their predictions of the effects of interventions. We formalise…

Empirical research in many social disciplines involves constructs that are not directly observable, such as behaviors. To model them, constructs must be operationalized using their relations with indicators. Structural equation modeling…

Methodology · Statistics 2025-07-30 Jonas Bauer , Axel Mayer , Christiane Fuchs , Tamara Schamberger

In recent years a lot of research has been conducted within the area of causal inference and causal learning. Many methods have been developed to identify the cause-effect pairs in models and have been successfully applied to observational…

Machine Learning · Statistics 2021-08-26 Benjamin Kap

Causal additive models provide a tractable yet expressive framework for causal discovery in the presence of hidden variables. When unobserved backdoor or causal paths exist between two variables, their causal relationship is often…

Machine Learning · Computer Science 2026-05-25 Thong Pham , Takashi Nicholas Maeda , Shohei Shimizu

In contemporary scientific research, understanding the distinction between correlation and causation is crucial. While correlation is a widely used analytical standard, it does not inherently imply causation. This paper addresses the…

Machine Learning · Computer Science 2023-12-27 Cao Zhihao , Qu Hongchun