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We consider the problem of estimating a causal effect in a multi-domain setting. The causal effect of interest is confounded by an unobserved confounder and can change between the different domains. We assume that we have access to a proxy…

Machine Learning · Computer Science 2025-12-30 Manuel Iglesias-Alonso , Felix Schur , Julius von Kügelgen , Jonas Peters

Identifying the effects of causes and causes of effects is vital in virtually every scientific field. Often, however, the needed probabilities may not be fully identifiable from the data sources available. This paper shows how partial…

Artificial Intelligence · Computer Science 2023-01-31 Ang Li , Scott Mueller , Judea Pearl

Bipartite experiments arise in various fields, in which the treatments are randomized over one set of units, while the outcomes are measured over another separate set of units. However, existing methods often rely on strong model…

Methodology · Statistics 2025-04-16 Sizhu Lu , Lei Shi , Yue Fang , Wenxin Zhang , Peng Ding

Causal inference is best understood using potential outcomes. This use is particularly important in more complex settings, that is, observational studies or randomized experiments with complications such as noncompliance. The topic of this…

Statistics Theory · Mathematics 2007-06-13 Donald B. Rubin

Predictions about people, such as their expected educational achievement or their credit risk, can be performative and shape the outcome that they aim to predict. Understanding the causal effect of these predictions on the eventual outcomes…

Machine Learning · Statistics 2022-10-19 Celestine Mendler-Dünner , Frances Ding , Yixin Wang

Long-term outcomes are often unavailable in randomized clinical trials, although short-term surrogate outcomes are commonly observed. External observational data may contain the long-term outcome, but causal comparisons based on such data…

Statistics Theory · Mathematics 2026-05-15 Ziyang Liu , Niwen Zhou , Peng Wu , Xu Guo

We study the identification of causal effects, motivated by two improvements to identifiability which can be attained if one knows that some variables in a causal graph are functionally determined by their parents (without needing to know…

Artificial Intelligence · Computer Science 2024-05-24 Yizuo Chen , Adnan Darwiche

Causal evidence is needed to act and it is often enough for the evidence to point towards a direction of the effect of an action. For example, policymakers might be interested in estimating the effect of slightly increasing taxes on private…

Methodology · Statistics 2020-08-11 Dominik Rothenhäusler , Bin Yu

Surrogate markers are often used in clinical trials to evaluate treatment effects when primary outcomes are costly, invasive, or take a long time to observe. However, reliance on surrogates can lead to the surrogate paradox, where a…

Methodology · Statistics 2025-06-17 Emily Hsiao , Lu Tian , Layla Parast

The generalizability of empirical findings to new environments, settings or populations, often called "external validity," is essential in most scientific explorations. This paper treats a particular problem of generalizability, called…

Methodology · Statistics 2015-03-06 Judea Pearl , Elias Bareinboim

Causal inference is a science with multi-disciplinary evolution and applications. On the one hand, it measures effects of treatments in observational data based on experimental designs and rigorous statistical inference to draw causal…

Methodology · Statistics 2022-09-05 Jingying Zeng , Run Wang

Learning the Individual Treatment Effect (ITE) is essential for personalized decision-making, yet causal inference has traditionally focused on aggregated treatment effects. While integrating conformal prediction with causal inference can…

Methodology · Statistics 2025-01-23 Chenyin Gao , Peter B. Gilbert , Larry Han

This paper shows how to use a randomized saturation experimental design to identify and estimate causal effects in the presence of spillovers--one person's treatment may affect another's outcome--and one-sided non-compliance--subjects can…

Inferring causal effects of treatments is a central goal in many disciplines. The potential outcomes framework is a main statistical approach to causal inference, in which a causal effect is defined as a comparison of the potential outcomes…

Methodology · Statistics 2018-01-04 Peng Ding , Fan Li

The goal of causal inference is to understand the outcome of alternative courses of action. However, all causal inference requires assumptions. Such assumptions can be more influential than in typical tasks for probabilistic modeling, and…

Methodology · Statistics 2016-10-31 Dustin Tran , Francisco J. R. Ruiz , Susan Athey , David M. Blei

Although review papers on causal inference methods are now available, there is a lack of introductory overviews on what they can render and on the guiding criteria for choosing one particular method. This tutorial gives an overview in…

In time-to-event settings, the presence of competing events complicates the definition of causal effects. Here we propose the new separable effects to study the causal effect of a treatment on an event of interest. The separable direct…

In longitudinal studies where units are embedded in space or a social network, interference may arise, meaning that a unit's outcome can depend on treatment histories of others. The presence of interference poses significant challenges for…

Methodology · Statistics 2025-08-26 Ye Wang , Michael Jetsupphasuk

Surrogate data testing for linearity is frequently applied to confirm the results of nonlinear time series analysis. We argue that this, in general, is not possible.

Chaotic Dynamics · Physics 2009-10-31 J. Timmer

Epidemiologists and applied statisticians often believe that relative effect measures conditional on covariates, such as risk ratios and mean ratios, are ``transportable'' across populations. Here, we examine the identification of causal…

Methodology · Statistics 2022-02-24 Issa J. Dahabreh , Sarah E. Robertson , Jon A. Steingrimsson