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Causal inference has received great attention across different fields from economics, statistics, education, medicine, to machine learning. Within this area, inferring causal effects at individual level in observational studies has become…

Methodology · Statistics 2017-02-16 Thai Pham

This work extends causal inference with stochastic confounders. We propose a new approach to variational estimation for causal inference based on a representer theorem with a random input space. We estimate causal effects involving latent…

Machine Learning · Statistics 2021-01-26 Thanh Vinh Vo , Pengfei Wei , Wicher Bergsma , Tze-Yun Leong

Meta-analysis, by synthesizing effect estimates from multiple studies conducted in diverse settings, stands at the top of the evidence hierarchy in clinical research. Yet, conventional approaches based on fixed- or random-effects models…

Bayesian networks are powerful statistical models to study the probabilistic relationships among set random variables with major applications in disease modeling and prediction. Here, we propose a continuous time Bayesian network with…

Machine Learning · Computer Science 2021-07-16 Syed Hasib Akhter Faruqui , Adel Alaeddini , Jing Wang , Carlos A. Jaramillo

We present a Bayesian procedure for estimation of pairwise intervention effects in a high-dimensional system of categorical variables. We assume that we have observational data generated from an unknown causal Bayesian network for which…

Methodology · Statistics 2025-07-02 Vera Kvisgaard , Johan Pensar

Causal decomposition depicts a cause-effect relationship that is not based on the concept of prediction, but based on the phase dependence of time series. It has been validated in both stochastic and deterministic systems and is now…

Signal Processing · Electrical Eng. & Systems 2020-08-18 Yi Zhang , Qin Yang , Lifu Zhang , Branko Celler , Steven Su , Peng Xu , Dezhong Yao

In biomedical research, repeated measurements within each subject are often processed to remove artifacts and unwanted sources of variation. The resulting data are used to construct derived outcomes that act as proxies for scientific…

Methodology · Statistics 2026-02-03 Zihang Wang , Razieh Nabi , Benjamin B. Risk

We study the identification and estimation of long-term treatment effects when both experimental and observational data are available. Since the long-term outcome is observed only after a long delay, it is not measured in the experimental…

Methodology · Statistics 2024-09-04 Guido Imbens , Nathan Kallus , Xiaojie Mao , Yuhao Wang

One of the fundamental challenges in drawing causal inferences from observational studies is that the assumption of no unmeasured confounding is not testable from observed data. Therefore, assessing sensitivity to this assumption's…

Methodology · Statistics 2024-06-25 Md Abdul Basit , Mahbub A. H. M. Latif , Abdus S Wahed

Causal mediation analysis usually requires strong assumptions, such as ignorability of the mediator, which may not hold in many social and scientific studies. Motivated by a multilevel randomized treatment experiment using functional…

Applications · Statistics 2017-07-11 Yi Zhao , Xi Luo

For non-randomized studies, the regression discontinuity design (RDD) can be used to identify and estimate causal effects from a "locally-randomized" subgroup of subjects, under relatively mild conditions. However, current models focus…

Methodology · Statistics 2015-02-12 George Karabatsos , Stephen G. Walker

The estimation of treatment effects is a pervasive problem in medicine. Existing methods for estimating treatment effects from longitudinal observational data assume that there are no hidden confounders, an assumption that is not testable…

Machine Learning · Computer Science 2020-09-21 Ioana Bica , Ahmed M. Alaa , Mihaela van der Schaar

Understanding the factors that trigger or prevent undesirable health outcomes across patient subpopulations is essential for designing targeted interventions. While randomized controlled trials and expert-led patient interviews are standard…

Artificial Intelligence · Computer Science 2026-05-28 Shishir Adhikari , Guido Muscioni , Mark Shapiro , Plamen Petrov , Elena Zheleva

Causal inference in longitudinal biomedical data remains a central challenge, especially in psychiatry, where symptom heterogeneity and latent confounding frequently undermine classical estimators. Most existing methods for treatment effect…

Machine Learning · Computer Science 2025-07-28 Eric V. Strobl

Causality defines the relationship between cause and effect. In multivariate time series field, this notion allows to characterize the links between several time series considering temporal lags. These phenomena are particularly important…

Methodology · Statistics 2023-06-01 Antonin Arsac , Aurore Lomet , Jean-Philippe Poli

Understanding causal relationships is one of the most important goals of modern science. So far, the causal inference literature has focused almost exclusively on outcomes coming from the Euclidean space $\mathbb{R}^p$. However, it is…

Methodology · Statistics 2022-10-25 Zhenhua Lin , Dehan Kong , Linbo Wang

Understanding the causal effects of text on downstream outcomes is a central task in many applications. Estimating such effects requires researchers to run controlled experiments that systematically vary textual features. While large…

Computation and Language · Computer Science 2026-02-18 Omri Feldman , Amar Venugopal , Jann Spiess , Amir Feder

The regression discontinuity (RD) design is a popular approach to causal inference in non-randomized studies. This is because it can be used to identify and estimate causal effects under mild conditions. Specifically, for each subject, the…

Methodology · Statistics 2014-02-11 George Karabatsos , Stephen G. Walker

Unobserved confounding presents a major threat to causal inference from observational studies. Recently, several authors suggest that this problem may be overcome in a shared confounding setting where multiple treatments are independent…

Methodology · Statistics 2020-11-25 Dehan Kong , Shu Yang , Linbo Wang

The standard approach to answering an identifiable causal-effect query (e.g., $P(Y|do(X)$) when given a causal diagram and observational data is to first generate an estimand, or probabilistic expression over the observable variables, which…

Artificial Intelligence · Computer Science 2024-08-28 Anna Raichev , Alexander Ihler , Jin Tian , Rina Dechter