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Methods that infer causal dependence from observational data are central to many areas of science, including medicine, economics, and the social sciences. A variety of theoretical properties of these methods have been proven, but empirical…

Methodology · Statistics 2021-07-08 Amanda Gentzel , Purva Pruthi , David Jensen

Estimating the Individual Treatment Effect from observational data, defined as the difference between outcomes with and without treatment or intervention, while observing just one of both, is a challenging problems in causal learning. In…

Machine Learning · Computer Science 2020-05-07 Céline Beji , Michaël Bon , Florian Yger , Jamal Atif

A structural causal model is made of endogenous (manifest) and exogenous (latent) variables. We show that endogenous observations induce linear constraints on the probabilities of the exogenous variables. This allows to exactly map a causal…

Artificial Intelligence · Computer Science 2020-08-04 Marco Zaffalon , Alessandro Antonucci , Rafael Cabañas

Understanding and quantifying cause and effect is an important problem in many domains. The generally-agreed solution to this problem is to perform a randomised controlled trial. However, even when randomised controlled trials can be…

Machine Learning · Statistics 2023-02-22 Graham Van Goffrier , Lucas Maystre , Ciarán Gilligan-Lee

Instrumental variable methods are widely used for inferring the causal effect in the presence of unmeasured confounders. Existing instrumental variable methods for nonlinear outcome models require stringent identifiability conditions. This…

Methodology · Statistics 2022-07-01 Sai Li , Zijian Guo

There is abundant observational data in the software engineering domain, whereas running large-scale controlled experiments is often practically impossible. Thus, most empirical studies can only report statistical correlations -- instead of…

Software Engineering · Computer Science 2024-10-03 Carlo A. Furia , Richard Torkar , Robert Feldt

Epidemiologists increasingly use causal inference methods that rely on machine learning, as these approaches can relax unnecessary model specification assumptions. While deriving and studying asymptotic properties of such estimators is a…

Methodology · Statistics 2025-02-11 Audrey Renson , Lina Montoya , Dana E. Goin , Iván Díaz , Rachael K. Ross

Dynamic structural causal models (SCMs) are a powerful framework for reasoning in dynamic systems about direct effects which measure how a change in one variable affects another variable while holding all other variables constant. The…

Artificial Intelligence · Computer Science 2024-02-16 Simon Ferreira , Charles K. Assaad

The fundamental challenge of drawing causal inference is that counterfactual outcomes are not fully observed for any unit. Furthermore, in observational studies, treatment assignment is likely to be confounded. Many statistical methods have…

Methodology · Statistics 2022-08-01 Harsh Parikh , Carlos Varjao , Louise Xu , Eric Tchetgen Tchetgen

This paper discusses the problem of causal query in observational data with hidden variables, with the aim of seeking the change of an outcome when "manipulating" a variable while given a set of plausible confounding variables which affect…

Artificial Intelligence · Computer Science 2020-11-25 Debo Cheng , Jiuyong Li , Lin Liu , Jixue Liu , Kui Yu , Thuc Duy Le

A data science task can be deemed as making sense of the data or testing a hypothesis about it. The conclusions inferred from data can greatly guide us to make informative decisions. Big data has enabled us to carry out countless prediction…

Machine Learning · Computer Science 2022-01-12 Wenhao Zhang , Ramin Ramezani , Arash Naeim

We propose causal effect estimators based on empirical Fr\'{e}chet means and operator-valued kernels, tailored to functional data spaces. These methods address the challenges of high-dimensionality, sequential ordering, and model complexity…

Methodology · Statistics 2025-06-04 Yordan P. Raykov , Hengrui Luo , Justin D. Strait , Wasiur R. KhudaBukhsh

We study causal effect estimation from a mixture of observational and interventional data in a confounded linear regression model with multivariate treatments. We show that the statistical efficiency in terms of expected squared error can…

This tutorial provides a concise introduction to modern causal modeling by integrating potential outcomes and graphical methods. We motivate causal questions such as counterfactual reasoning under interventions and define binary treatments…

Methodology · Statistics 2025-06-27 Gauranga Kumar Baishya

Recent years have seen many advances in methods for causal structure learning from data. The empirical assessment of such methods, however, is much less developed. Motivated by this gap, we pose the following question: how can one assess,…

Methodology · Statistics 2020-06-30 Marco F. Eigenmann , Sach Mukherjee , Marloes H. Maathuis

Graphical models can represent a multivariate distribution in a convenient and accessible form as a graph. Causal models can be viewed as a special class of graphical models that not only represent the distribution of the observed system…

Methodology · Statistics 2017-06-29 Christina Heinze-Deml , Marloes H. Maathuis , Nicolai Meinshausen

Causal inference, estimating causal effects from observational data, is a fundamental tool in many disciplines. Of particular importance across a variety of domains is the continuous treatment setting, where the variable of intervention has…

Machine Learning · Computer Science 2026-05-15 Christopher Stith , Medha Barath , Vahid Balazadeh , Jesse C. Cresswell , Rahul G. Krishnan

Predicting the effect of unseen interventions is a fundamental research question across the data sciences. It is well established that in general such questions cannot be answered definitively from observational data. This realization has…

Machine Learning · Statistics 2024-05-27 Alexis Bellot

The causal effect of an intervention (treatment/exposure) on an outcome can be estimated by: i) specifying knowledge about the data-generating process; ii) assessing under what assumptions a target quantity, such as for example a causal…

Methodology · Statistics 2021-03-05 Michael Schomaker

Learning causal relationships from time series data is an important but challenging problem. Existing synthetic datasets often contain hidden artifacts that can be exploited by causal discovery methods, reducing their usefulness for…

Machine Learning · Computer Science 2026-03-23 Xiaoyu He , Petr Ryšavý , Jakub Mareček
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