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We propose a framework for determining whether the causal dependence of an outcome $Y$ on a covariate $X$ changes at a given time point, given confounders $\boldsymbol{Z}$. For instance, in financial markets, the effect of a market…

Methodology · Statistics 2026-05-08 Shakeel Gavioli-Akilagun , Kieran Wood , Francesco Quinzan

Learning individual-level causal effects from observational data, such as inferring the most effective medication for a specific patient, is a problem of growing importance for policy makers. The most important aspect of inferring causal…

Machine Learning · Statistics 2017-11-07 Christos Louizos , Uri Shalit , Joris Mooij , David Sontag , Richard Zemel , Max Welling

We present a precise definition of cause and effect in terms of a fundamental notion called unresponsiveness. Our definition is based on Savage's (1954) formulation of decision theory and departs from the traditional view of causation in…

Artificial Intelligence · Computer Science 2015-05-19 David Heckerman , Ross D. Shachter

We pose causal inference as the problem of learning to classify probability distributions. In particular, we assume access to a collection $\{(S_i,l_i)\}_{i=1}^n$, where each $S_i$ is a sample drawn from the probability distribution of $X_i…

Machine Learning · Statistics 2015-05-20 David Lopez-Paz , Krikamol Muandet , Bernhard Schölkopf , Ilya Tolstikhin

Recent developments in causal inference allow us to transport a causal effect of a time-fixed treatment from a randomized trial to a target population across space but within the same time frame. In contrast to transportability across…

Methodology · Statistics 2026-03-11 Laura Forastiere , Fan Li , Michela Baccini

Evaluating the causal effect of an intervention on multivariate outcomes is challenging when the outcomes are interdependent and derived rather than directly observed. Effective connectivity, which summarizes the directional neural…

Methodology · Statistics 2026-04-02 Haiyue Song , Ani Eloyan , Youjin Lee

Although propensity scores have been central to the estimation of causal effects for over 30 years, only recently has the statistical literature begun to consider in detail methods for Bayesian estimation of propensity scores and causal…

Methodology · Statistics 2014-04-09 Corwin M. Zigler

This paper introduces a novel decomposition framework to explain heterogeneity in causal effects observed across different studies, considering both observational and randomized settings. We present a formal decomposition of between-study…

Methodology · Statistics 2025-12-18 Brian Gilbert , Ivan Dıaz , Kara E. Rudolph , Nicholas Williams , Tat-Thang Vo

We present a domain-general account of causation that applies to settings in which macro-level causal relations between two systems are of interest, but the relevant causal features are poorly understood and have to be aggregated from vast…

Machine Learning · Statistics 2015-12-29 Krzysztof Chalupka , Pietro Perona , Frederick Eberhardt

Assessing the causal effects of interventions on ordinal outcomes is an important objective of many educational and behavioral studies. Under the potential outcomes framework, we can define causal effects as comparisons between the…

Methodology · Statistics 2018-04-06 Jiannan Lu , Peng Ding , Tirthankar Dasgupta

Predicting the effect of interventions with many possible variations, e.g., therapeutic content that affects mental health outcomes or an earnings call transcript that drives movement in share price, is useful across several domains.…

Machine Learning · Computer Science 2026-05-27 Nikita Dhawan , Arnav Paruthi , Andrew Kim , Lovedeep Gondara , Jekaterina Novikova , Chris J. Maddison

Estimating the causal effects of an intervention in the presence of confounding is a frequently occurring problem in applications such as medicine. The task is challenging since there may be multiple confounding factors, some of which may…

Methodology · Statistics 2018-11-28 Sonali Parbhoo , Mario Wieser , Volker Roth

Many statistical problems in causal inference involve a probability distribution other than the one from which data are actually observed; as an additional complication, the object of interest is often a marginal quantity of this other…

Methodology · Statistics 2023-10-24 Robin J. Evans , Vanessa Didelez

In many fields$\unicode{x2013}$including genomics, epidemiology, natural language processing, social and behavioral sciences, and economics$\unicode{x2013}$it is increasingly important to address causal questions in the context of factor…

Methodology · Statistics 2025-06-30 Jenna M. Landy , Dafne Zorzetto , Roberta De Vito , Giovanni Parmigiani

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

There exist well-developed frameworks for causal modelling, but these require rather a lot of human domain expertise to define causal variables and perform interventions. In order to enable autonomous agents to learn abstract causal models…

Artificial Intelligence · Computer Science 2022-08-15 Taco Cohen

In causal inference, it is common to estimate the causal effect of a single treatment variable on an outcome. However, practitioners may also be interested in the effect of simultaneous interventions on multiple covariates of a fixed target…

Methodology · Statistics 2022-11-24 Jaime Roquero Gimenez , Dominik Rothenhäusler

Over the past few decades, addressing "spatial confounding" has become a major topic in spatial statistics. However, the literature has provided conflicting definitions, and many proposed solutions are tied to specific analysis models and…

Methodology · Statistics 2024-10-14 Brian Gilbert , Abhirup Datta , Joan A. Casey , Elizabeth L. Ogburn

On the promise that if human users know the cause of an output, it would enable them to grasp the process responsible for the output, and hence provide understanding, many explainable methods have been proposed to indicate the cause for the…

Computer Vision and Pattern Recognition · Computer Science 2023-09-06 Armando Villegas-Jimenez , Daniel Flores-Araiza , Francisco Lopez-Tiro , Gilberto Ochoa-Ruiz andand Christian Daul

The causal assumptions, the study design and the data are the elements required for scientific inference in empirical research. The research is adequately communicated only if all of these elements and their relations are described…

Methodology · Statistics 2015-05-01 Juha Karvanen