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In some causal inference scenarios, the treatment variable is measured inaccurately, for instance in epidemiology or econometrics. Failure to correct for the effect of this measurement error can lead to biased causal effect estimates.…

Machine Learning · Computer Science 2024-09-13 Antti Pöllänen , Pekka Marttinen

In social science researches, causal inference regarding peer effects often faces significant challenges due to homophily bias and contextual confounding. For example, unmeasured health conditions (e.g., influenza) and psychological states…

Methodology · Statistics 2025-04-29 Shanshan Luo , Kang Shuai , Yechi Zhang , Wei Li , Yangbo He

Scientific hypotheses typically concern specific aspects of complex, imperfectly understood or entirely unknown mechanisms, such as the effect of gene expression levels on phenotypes or how microbial communities influence environmental…

Methodology · Statistics 2025-03-05 Elisabeth Ailer , Niclas Dern , Jason Hartford , Niki Kilbertus

Despite the major advances taken in causal modeling, causality is still an unfamiliar topic for many statisticians. In this paper, it is demonstrated from the beginning to the end how causal effects can be estimated from observational data…

Methodology · Statistics 2014-07-03 Juha Karvanen

Complexity measures in the context of the Integrated Information Theory of consciousness try to quantify the strength of the causal connections between different neurons. This is done by minimizing the KL-divergence between a full system…

Methodology · Statistics 2021-02-09 Carlotta Langer , Nihat Ay

The concepts of information transfer and causal effect have received much recent attention, yet often the two are not appropriately distinguished and certain measures have been suggested to be suitable for both. We discuss two existing…

Adaptation and Self-Organizing Systems · Physics 2012-03-05 Joseph T. Lizier , Mikhail Prokopenko

Inferring the causal direction and causal effect between two discrete random variables X and Y from a finite sample is often a crucial problem and a challenging task. However, if we have access to observational and interventional data, it…

Machine Learning · Statistics 2020-10-16 Peter Gmeiner

This paper introduces a novel measure to quantify the directional dependence of extreme events between two variables. The proposed approach is designed to capture asymmetric tail dependence by studying conditional tail expectations of…

Methodology · Statistics 2026-04-06 Matthieu Garcin , Maxime L. D. Nicolas

This paper discusses the fundamental principles of causal inference - the area of statistics that estimates the effect of specific occurrences, treatments, interventions, and exposures on a given outcome from experimental and observational…

Methodology · Statistics 2021-12-03 Francesca Dominici , Falco J. Bargagli-Stoffi , Fabrizia Mealli

There are a number of measures of direct and indirect effects in the literature. They are suitable in some cases and unsuitable in others. We describe a case where the existing measures are unsuitable and propose new suitable ones. We also…

Methodology · Statistics 2023-10-12 Jose M. Peña

Many empirical studies estimate causal effects in environments where economic units interact through spatial or network connections. In such settings, outcomes are jointly determined, and treatment induced shocks propagate across…

General Economics · Economics 2026-01-05 Mariluz Mate

Deciding on an appropriate intervention requires a causal model of a treatment, the outcome, and potential mediators. Causal mediation analysis lets us distinguish between direct and indirect effects of the intervention, but has mostly been…

Machine Learning · Computer Science 2023-06-19 Çağlar Hızlı , ST John , Anne Juuti , Tuure Saarinen , Kirsi Pietiläinen , Pekka Marttinen

Causal inference identifies cause-and-effect relationships between variables. While traditional approaches rely on data to reveal causal links, a recently developed method, assimilative causal inference (ACI), integrates observations with…

Machine Learning · Statistics 2025-10-28 Marios Andreou , Nan Chen

Recommending the best course of action for an individual is a major application of individual-level causal effect estimation. This application is often needed in safety-critical domains such as healthcare, where estimating and communicating…

Machine Learning · Computer Science 2020-10-26 Andrew Jesson , Sören Mindermann , Uri Shalit , Yarin Gal

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

Conditional effect estimation has great scientific and policy importance because interventions may impact subjects differently depending on their characteristics. Most research has focused on estimating the conditional average treatment…

Methodology · Statistics 2023-04-25 Alec McClean , Zach Branson , Edward H. Kennedy

Estimating causal effects is crucial for decision-makers in many applications, but it is particularly challenging with observational network data due to peer interactions. Many algorithms have been proposed to estimate causal effects…

Artificial Intelligence · Computer Science 2024-09-16 Xiaojing Du , Jiuyong Li , Debo Cheng , Lin Liu , Wentao Gao , Xiongren Chen

Many research questions involve time-to-event outcomes that can be prevented from occurring due to competing events. In these settings, we must be careful about the causal interpretation of classical statistical estimands. In particular,…

Methodology · Statistics 2020-09-01 Torben Martinussen , Mats Julius Stensrud

This paper deals with the problem of evaluating the causal effect using observational data in the presence of an unobserved exposure/ outcome variable, when cause-effect relationships between variables can be described as a directed acyclic…

Methodology · Statistics 2012-06-18 Manabu Kuroki , Zhihong Cai

Modified treatment policies are a widely applicable class of interventions useful for studying the causal effects of continuous exposures. Approaches to evaluating their causal effects assume no interference, meaning that such effects…

Methodology · Statistics 2025-12-12 Salvador V. Balkus , Scott W. Delaney , Nima S. Hejazi