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In causal inference, an important problem is to quantify the effects of interventions or treatments. Many studies focus on estimating the mean causal effects; however, these estimands may offer limited insight since two distributions can…

Methodology · Statistics 2024-11-05 Archer Gong Zhang , Nancy Reid , Qiang Sun

Many modern applications collect data that comes in federated spirit, with data kept locally and undisclosed. Till date, most insight into the causal inference requires data to be stored in a central repository. We present a novel framework…

Methodology · Statistics 2021-06-02 Thanh Vinh Vo , Trong Nghia Hoang , Young Lee , Tze-Yun Leong

In observational studies, the causal effect of a treatment may be confounded with variables that are related to both the treatment and the outcome of interest. In order to identify a causal effect, such studies often rely on the…

Methodology · Statistics 2017-10-17 Emma Persson , Jenny Häggström , Ingeborg Waernbaum , Xavier de Luna

Causal discovery methods seek to identify causal relations between random variables from purely observational data, as opposed to actively collected experimental data where an experimenter intervenes on a subset of correlates. One of the…

Machine Learning · Computer Science 2021-02-08 Samir Wadhwa , Roy Dong

Externally controlled trials (ECTs) are increasingly used when randomized controls are infeasible, unethical, or insufficient, including applications in rare diseases, oncology, pediatrics, and post-approval effectiveness research. Although…

Learning causal relationships among a set of variables, as encoded by a directed acyclic graph, from observational data is complicated by the presence of unobserved confounders. Instrumental variables (IVs) are a popular remedy for this…

Methodology · Statistics 2025-04-17 Jing Zou , Wei Li , Wei Lin

Matching is a widely used causal inference design that aims to approximate a randomized experiment using observational data by forming matched sets of treated and control units based on similarities in their covariates. Ideally, treated…

Methodology · Statistics 2026-04-06 Jianan Zhu , Jeffrey Zhang , Zijian Guo , Siyu Heng

Causal inference from observational data often assumes "ignorability," that all confounders are observed. This assumption is standard yet untestable. However, many scientific studies involve multiple causes, different variables whose…

Machine Learning · Statistics 2019-04-16 Yixin Wang , David M. Blei

This paper introduces a new framework for recovering causal graphs from observational data, leveraging the observation that the distribution of an effect, conditioned on its causes, remains invariant to changes in the prior distribution of…

Machine Learning · Computer Science 2026-02-04 Nang Hung Nguyen , Phi Le Nguyen , Thao Nguyen Truong , Trong Nghia Hoang , Masashi Sugiyama

We address the problem of two-variable causal inference without intervention. This task is to infer an existing causal relation between two random variables, i.e. $X \rightarrow Y$ or $Y \rightarrow X$ , from purely observational data. As…

Machine Learning · Statistics 2020-01-07 Maximilian Kurthen , Torsten A. Enßlin

Causal inference, especially in observational studies, relies on untestable assumptions about the true data-generating process. Sensitivity analysis helps us determine how robust our conclusions are when we alter these underlying…

Machine Learning · Computer Science 2026-05-11 Nikita Dhawan , Daniel Shen , Leonardo Cotta , Chris J. Maddison

Despite the accelerating presence of exploratory causal analysis in modern science and medicine, the available non-experimental methods for validating causal models are not well characterized. One of the most popular methods is to evaluate…

Methodology · Statistics 2025-03-20 Ritwick Banerjee , Bryan Andrews , Erich Kummerfeld

Causal inference from observational data is crucial for many disciplines such as medicine and economics. However, sharp bounds for causal effects under relaxations of the unconfoundedness assumption (causal sensitivity analysis) are subject…

Machine Learning · Computer Science 2023-10-17 Dennis Frauen , Valentyn Melnychuk , Stefan Feuerriegel

When estimating causal effects using observational data, it is desirable to replicate a randomized experiment as closely as possible by obtaining treated and control groups with similar covariate distributions. This goal can often be…

Methodology · Statistics 2010-10-28 Elizabeth A. Stuart

This study introduces a data-driven, machine learning-based method to detect suitable control variables and instruments for assessing the causal effect of a treatment on an outcome in observational data. Our approach tests the joint…

Econometrics · Economics 2026-05-20 Nicolas Apfel , Julia Hatamyar , Martin Huber , Jannis Kueck

We consider the estimation of average treatment effects in observational studies and propose a new framework of robust causal inference with unobserved confounders. Our approach is based on distributionally robust optimization and proceeds…

Methodology · Statistics 2023-02-06 Dimitris Bertsimas , Kosuke Imai , Michael Lingzhi Li

Prior work applying semiparametric theory to causal inference has primarily focused on deriving estimators that exhibit statistical robustness under a prespecified causal model that permits identification of a desired causal parameter.…

Methodology · Statistics 2024-07-02 Junhui Yang , Rohit Bhattacharya , Youjin Lee , Ted Westling

Consider the case that one observes a single time-series, where at each time t one observes a data record O(t) involving treatment nodes A(t), possible covariates L(t) and an outcome node Y(t). The data record at time t carries information…

Statistics Theory · Mathematics 2021-02-04 Mark J. van der Laan , Ivana Malenica

Experiments deliver credible treatment-effect estimates but, because they are costly, are often restricted to specific sites, small populations, or particular mechanisms. A common practice across several fields is therefore to combine…

Econometrics · Economics 2025-12-30 Aristotelis Epanomeritakis , Davide Viviano

In contemporary scientific research, understanding the distinction between correlation and causation is crucial. While correlation is a widely used analytical standard, it does not inherently imply causation. This paper addresses the…

Machine Learning · Computer Science 2023-12-27 Cao Zhihao , Qu Hongchun