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Existing approaches to causal discovery often rely on restrictive modeling assumptions that limit their applicability in real-world settings, particularly when data are heavy-tailed or contain a mixture of discrete and continuous variables.…

Methodology · Statistics 2025-11-25 Juraj Bodik , Valérie Chavez-Demoulin

The direct effect of one eventon another can be defined and measured byholding constant all intermediate variables between the two.Indirect effects present conceptual andpractical difficulties (in nonlinear models), because they cannot be…

Artificial Intelligence · Computer Science 2013-01-14 Judea Pearl

We consider the problem of learning causal models from observational data generated by linear non-Gaussian acyclic causal models with latent variables. Without considering the effect of latent variables, one usually infers wrong causal…

Machine Learning · Computer Science 2019-08-13 Saber Salehkaleybar , AmirEmad Ghassami , Negar Kiyavash , Kun Zhang

Empirical researchers routinely invoke the no-interference or \textit{individualistic treatment response} (ITR) assumption to identify causal effects in observational studies, despite concerns that interference across units may arise in…

Econometrics · Economics 2026-04-27 Julius Owusu , Monika Avila Márquez

We propose a counterfactual approach to train ``causality-aware" predictive models that are able to leverage causal information in static anticausal machine learning tasks (i.e., prediction tasks where the outcome influences the features).…

Applications · Statistics 2020-12-01 Elias Chaibub Neto

We discuss issues of structural and practical identifiability of partially observed differential equations which are often applied in systems biology. The development of mathematical methods to investigate structural non-identifiability has…

We propose a new definition of actual cause, using structural equations to model counterfactuals. We show that the definition yields a plausible and elegant account of causation that handles well examples which have caused problems for…

Artificial Intelligence · Computer Science 2007-05-23 Joseph Y. Halpern , Judea Pearl

Making causal inferences from observational studies can be challenging when confounders are missing not at random. In such cases, identifying causal effects is often not guaranteed. Motivated by a real example, we consider a…

Methodology · Statistics 2023-10-31 Jian Sun , Bo Fu

A foundational question in the theory of linear compartmental models is how to assess whether a model is structurally identifiable -- that is, whether parameter values can be inferred from noiseless data -- directly from the combinatorics…

Dynamical Systems · Mathematics 2024-02-19 Cashous Bortner , Elizabeth Gross , Nicolette Meshkat , Anne Shiu , Seth Sullivant

Causal discovery is challenging in general dynamical systems because, without strong structural assumptions, the underlying causal graph may not be identifiable even from interventional data. However, many real-world systems exhibit…

Machine Learning · Computer Science 2026-04-07 Panayiotis Panayiotou , Özgür Şimşek

Structural causal models provide a formalism to express causal relations between variables of interest. Models and variables can represent a system at different levels of abstraction, whereby relations may be coarsened and refined according…

Artificial Intelligence · Computer Science 2023-05-09 Fabio Massimo Zennaro , Paolo Turrini , Theodoros Damoulas

The past decade has seen an increasing body of literature devoted to the estimation of causal effects in network-dependent data. However, the validity of many classical statistical methods in such data is often questioned. There is an…

Computation · Statistics 2017-05-31 Oleg Sofrygin , Romain Neugebauer , Mark J. van der Laan

Causal models bring many benefits to decision-making systems (or agents) by making them interpretable, sample-efficient, and robust to changes in the input distribution. However, spurious correlations can lead to wrong causal models and…

Machine Learning · Computer Science 2020-12-09 Sergei Volodin , Nevan Wichers , Jeremy Nixon

This paper characterizes the values of partial regression coefficients, defined as projection coefficients onto the space spanned by explanatory variables, for random variables generated by linear structural equation models using graphical…

Statistics Theory · Mathematics 2026-03-10 Masato Shimokawa

We propose a new definition of actual causes, using structural equations to model counterfactuals.We show that the definitions yield a plausible and elegant account ofcausation that handles well examples which have caused problems forother…

Artificial Intelligence · Computer Science 2013-01-14 Joseph Y. Halpern , Judea Pearl

Causal discovery with latent variables is a crucial but challenging task. Despite the emergence of numerous methods aimed at addressing this challenge, they are not fully identified to the structure that two observed variables are…

Machine Learning · Computer Science 2023-12-20 Wei Chen , Zhiyi Huang , Ruichu Cai , Zhifeng Hao , Kun Zhang

Learning kinetic systems from data is one of the core challenges in many fields. Identifying stable models is essential for the generalization capabilities of data-driven inference. We introduce a computationally efficient framework, called…

Machine Learning · Statistics 2019-12-02 Niklas Pfister , Stefan Bauer , Jonas Peters

Causal identification is at the core of the causal inference literature, where complete algorithms have been proposed to identify causal queries of interest. The validity of these algorithms hinges on the restrictive assumption of having…

Machine Learning · Computer Science 2023-10-30 Sina Akbari , Fateme Jamshidi , Ehsan Mokhtarian , Matthew J. Vowels , Jalal Etesami , Negar Kiyavash

Identifiability of parameters is a fundamental prerequisite for model identification. It concerns uniqueness of the model parameters determined from experimental or simulated observations. This dissertation specifically deals with…

Economics · Quantitative Finance 2016-02-04 Di Molfetta Giuseppe

This paper concerns the assessment of the effects of actions from a combination of nonexperimental data and causal assumptions encoded in the form of a directed acyclic graph in which some variables are presumed to be unobserved. We provide…

Artificial Intelligence · Computer Science 2012-07-19 Jin Tian