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No man is an island, as individuals interact and influence one another daily in our society. When social influence takes place in experiments on a population of interconnected individuals, the treatment on a unit may affect the outcomes of…

Methodology · Statistics 2017-08-30 Edward K. Kao

This paper develops a general causal inference method for treatment effects models with noisily measured confounders. The key feature is that a large set of noisy measurements are linked with the underlying latent confounders through an…

Econometrics · Economics 2021-10-14 Yingjie Feng

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

Given a causal graph, the do-calculus can express treatment effects as functionals of the observational joint distribution that can be estimated empirically. Sometimes the do-calculus identifies multiple valid formulae, prompting us to…

Methodology · Statistics 2021-06-15 Shantanu Gupta , Zachary C. Lipton , David Childers

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

Modern medical research demands specialized causal inference methods evaluating complex continuous-time dynamic treatment regimens using observational data. For instance, obtaining the causal effects of intravenous administration, a…

Methodology · Statistics 2026-04-02 Haiyan Zhu , Yingchun Zhou

We introduce DeCaFlow, a deconfounding causal generative model. Training once per dataset using just observational data and the underlying causal graph, DeCaFlow enables accurate causal inference on continuous variables under the presence…

Machine Learning · Computer Science 2025-10-27 Alejandro Almodóvar , Adrián Javaloy , Juan Parras , Santiago Zazo , Isabel Valera

We study the problem of estimating causal effects under hidden confounding in the following unpaired data setting: we observe some covariates $X$ and an outcome $Y$ under different experimental conditions (environments) but do not observe…

Machine Learning · Statistics 2026-01-22 Felix Schur , Niklas Pfister , Peng Ding , Sach Mukherjee , Jonas Peters

Path-specific effects are a broad class of mediated effects from an exposure to an outcome via one or more causal pathways with respect to some subset of intermediate variables. The majority of the literature concerning estimation of…

We propose a formal model for counterfactual estimation with unobserved confounding in "data-rich" settings, i.e., where there are a large number of units and a large number of measurements per unit. Our model provides a bridge between the…

Econometrics · Economics 2025-04-03 Alberto Abadie , Anish Agarwal , Devavrat Shah

Bayesian causal inference offers a principled approach to policy evaluation of proposed interventions on mediators or time-varying exposures. We outline a general approach to the estimation of causal quantities for settings with…

Methodology · Statistics 2019-02-28 Leah Comment , Brent A. Coull , Corwin Zigler , Linda Valeri

The deconfounder was proposed as a method for estimating causal parameters in a context with multiple causes and unobserved confounding. It is based on recovery of a latent variable from the observed causes. We disentangle the causal…

Statistics Theory · Mathematics 2024-03-04 Jeffrey Adams , Niels Richard Hansen

Inferring causal relationships or related associations from observational data can be invalidated by the existence of hidden confounding. We focus on a high-dimensional linear regression setting, where the measured covariates are affected…

Methodology · Statistics 2021-07-22 Zijian Guo , Domagoj Ćevid , Peter Bühlmann

Relationship between two popular modeling frameworks of causal inference from observational data, namely, causal graphical model and potential outcome causal model is discussed. How some popular causal effect estimators found in…

Methodology · Statistics 2014-11-03 Priyantha Wijayatunga

This paper proposes a debiased estimator for causal effects in high-dimensional generalized linear models with binary outcomes and general link functions. The estimator augments a regularized regression plug-in with weights computed from a…

Econometrics · Economics 2025-10-21 Jing Kong

Mediation analysis plays a crucial role in causal inference as it can investigate the pathways through which treatment influences outcome. Most existing mediation analysis assumes that mediation effects are static and homogeneous within…

Methodology · Statistics 2026-03-02 Yijiao Zhang , Yubai Yuan , Yuexia Zhang , Zhongyi Zhu , Annie Qu

In causal inference, interference occurs when the treatment of one unit may affect the outcomes of other units. The goal of this work is to serve as a guide to the use of linear outcome modeling for estimating causal effects in settings…

Methodology · Statistics 2026-04-01 Eric Tong , Salvador V. Balkus

A central challenge in statistical inference is the presence of confounding variables that may distort observed associations between treatment and outcome. Conventional "causal" methods, grounded in assumptions such as ignorability, exclude…

Methodology · Statistics 2025-09-09 Ellis Scharfenaker , Duncan K. Foley

Inferring causal relationships from observed data is an important task, yet it becomes challenging when the data is subject to various external interferences. Most of these interferences are the additional effects of external factors on…

Machine Learning · Computer Science 2025-11-14 Ruichu Cai , Xiaokai Huang , Wei Chen , Zijian Li , Zhifeng Hao

We propose a method for inferring the existence of a latent common cause ('confounder') of two observed random variables. The method assumes that the two effects of the confounder are (possibly nonlinear) functions of the confounder plus…

Machine Learning · Statistics 2012-05-14 Dominik Janzing , Jonas Peters , Joris Mooij , Bernhard Schoelkopf