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Researchers often use instrumental variables (IV) models to investigate the causal relationship between an endogenous variable and an outcome while controlling for covariates. When an exogenous variable is unavailable to serve as the…

Econometrics · Economics 2025-06-18 Moses Stewart

Drawing causal conclusions from observational data requires making assumptions about the true data-generating process. Causal inference research typically considers low-dimensional data, such as categorical or numerical fields in structured…

Computation and Language · Computer Science 2021-02-11 Zach Wood-Doughty , Ilya Shpitser , Mark Dredze

Instrumental variable regression is a foundational tool for causal analysis across the social and biomedical sciences. Recent advances use kernel methods to estimate nonparametric causal relationships, with general data types, while…

Statistics Theory · Mathematics 2026-01-21 Marvin Lob , Rahul Singh , Suhas Vijaykumar

The inference of causal relationships using observational data from partially observed multivariate systems with hidden variables is a fundamental question in many scientific domains. Methods extracting causal information from conditional…

Machine Learning · Statistics 2020-10-13 Daniel Chicharro , Michel Besserve , Stefano Panzeri

There has been a growing acknowledgement of the involvement of the gut microbiome - the collection of microbes that reside in our gut - in regulating our mood and behaviour. This phenomenon is referred to as the microbiome-gut-brain axis.…

Genomics · Quantitative Biology 2023-12-11 Thomaz F. S. Bastiaanssen , Thomas P. Quinn , Amy Loughman

The task of inferring high-level causal variables from low-level observations, commonly referred to as causal representation learning, is fundamentally underconstrained. As such, recent works to address this problem focus on various…

Machine Learning · Statistics 2024-03-26 Simon Bing , Urmi Ninad , Jonas Wahl , Jakob Runge

Time-to-event analyses are often plagued by both -- possibly unmeasured -- confounding and competing risks. To deal with the former, the use of instrumental variables for effect estimation is rapidly gaining ground. We show how to make use…

Methodology · Statistics 2018-01-04 Torben Martinussen , Stijn Vansteelandt

Compositional data have two unique characteristics compared to typical multivariate data: the observed values are nonnegative and their summand is exactly one. To reflect these characteristics, a specific regularized regression model with…

Machine Learning · Computer Science 2018-12-24 Jong-June Jeon , Yongdai Kim , Sungho Won , Hosik Choi

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

Instrumental variables are widely used in econometrics and epidemiology for identifying and estimating causal effects when an exposure of interest is confounded by unmeasured factors. Despite this popularity, the assumptions invoked to…

Methodology · Statistics 2024-02-15 Alexander W. Levis , Edward H. Kennedy , Luke Keele

In recent years, many methods have been developed for detecting causal relationships in observational data. Some of them have the potential to tackle large data sets. However, these methods fail to discover a combined cause, i.e. a…

Artificial Intelligence · Computer Science 2015-10-16 Saisai Ma , Jiuyong Li , Lin Liu , Thuc Duy Le

Meta-analysis is commonly used to combine results from multiple clinical trials, but traditional meta-analysis methods do not refer explicitly to a population of individuals to whom the results apply and it is not clear how to use their…

There is an increasing interest in estimating heterogeneity in causal effects in randomized and observational studies. However, little research has been conducted to understand heterogeneity in an instrumental variables study. In this work,…

Methodology · Statistics 2021-01-20 Michael Johnson , Jiongyi Cao , Hyunseung Kang

Compositional data are multivariate observations that carry only relative information between components. Applying standard multivariate statistical methodology directly to analyze compositional data can lead to paradoxes and…

Applications · Statistics 2022-01-03 Guojun Gan , Emiliano A. Valdez

The method of instrumental variables provides a fundamental and practical tool for causal inference in many empirical studies where unmeasured confounding between the treatments and the outcome is present. Modern data such as the genetical…

Methodology · Statistics 2022-10-28 Ziang Niu , Yuwen Gu , Wei Li

Instrumental variable methods are often used for parameter estimation in the presence of confounding. They can also be applied in stochastic processes. Instrumental variable analysis exploits moment equations to obtain estimators for causal…

Statistics Theory · Mathematics 2023-02-22 Søren Wengel Mogensen

We consider sequential treatment regimes where each unit is exposed to combinations of interventions over time. When interventions are described by qualitative labels, such as "close schools for a month due to a pandemic" or "promote this…

Machine Learning · Statistics 2024-10-31 Jialin Yu , Andreas Koukorinis , Nicolò Colombo , Yuchen Zhu , Ricardo Silva

In a causal graphical model, an instrument for a variable X and its effect Y is a random variable that is a cause of X and independent of all the causes of Y except X. (Pearl (1995), Spirtes et al (2000)). Instrumental variables can be used…

Methodology · Statistics 2013-01-14 Tianjiao Chu , Richard Scheines , Peter L. Spirtes

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

Many policy evaluations using instrumental variable (IV) methods include individuals who interact with each other, potentially violating the standard IV assumptions. This paper defines and partially identifies direct and spillover effects…

Econometrics · Economics 2025-09-17 Didier Nibbering , Matthijs Oosterveen
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