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Mediation analysis extending beyond single mediators has gained significant attention in recent years. However, related methods often assume the absence of unmeasured mediator-outcome confounding. To address this, we develop a mediation…

Methodology · Statistics 2026-03-31 Kang Shuai , Lan Liu , Yangbo He , Wei Li

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

Causal mediation analysis is an important statistical tool to quantify effects transmitted by intermediate variables from a cause to an outcome. There is a gap in mediation analysis methods to handle mixture mediator data that are…

Methodology · Statistics 2025-07-22 Meilin Jiang , Seonjoo Lee , A. James O'Malley , Pengfei Li , Zhigang Li

To estimate direct and indirect effects of an exposure on an outcome from observed data strong assumptions about unconfoundedness are required. Since these assumptions cannot be tested using the observed data, a mediation analysis should…

Statistics Theory · Mathematics 2018-03-29 Anita Lindmark , Xavier de Luna , Marie Eriksson

Mediation analysis is a strategy for understanding the mechanisms by which treatments or interventions affect later outcomes. Mediation analysis is frequently applied in randomized trial settings, but typically assumes: a) that randomized…

Methodology · Statistics 2021-12-30 Kara E. Rudolph , Nicholas Williams , Ivan Diaz

Mediation analysis has become a widely used method for identifying the pathways through which an independent variable influences a dependent variable via intermediate mediators. However, limited research addresses the case where mediators…

Methodology · Statistics 2025-06-10 Rui Ren , Haoyi Yang , Qian Xiao , Lingzhou Xue , Yuan Huang

Causal mediation analysis seeks to investigate how the treatment effect of an exposure on outcomes is mediated through intermediate variables. Although many applications involve longitudinal data, the existing methods are not directly…

Applications · Statistics 2021-02-24 Shuxi Zeng , Stacy Rosenbaum , Elizabeth Archie , Susan Alberts , Fan Li

Stochastic simulation has been widely used to analyze the performance of complex stochastic systems and facilitate decision making in those systems. Stochastic simulation is driven by the input model, which is a collection of probability…

Risk Management · Quantitative Finance 2020-02-14 Tianyi Liu , Enlu Zhou

Mediation analysis is one of the most widely used statistical techniques in the social, behavioral, and medical sciences. Mediation models allow to study how an independent variable affects a dependent variable indirectly through one or…

Computation · Statistics 2022-08-18 Andreas Alfons , Nüfer Y. Ateş , Patrick J. F. Groenen

It is often of interest in the health and social sciences to investigate the joint mediation effects of multiple post-exposure mediating variables. Identification of such joint mediation effects generally require no unmeasured confounding…

Methodology · Statistics 2022-05-31 Deshanee S. Wickramarachchi , Laura Huey Mien Lim , Baoluo Sun

Mediation analysis is difficult when the number of potential mediators is larger than the sample size. In this paper we propose new inference procedures for the indirect effect in the presence of high-dimensional mediators for linear…

Methodology · Statistics 2019-10-29 Ruixuan Rachel Zhou , Liewei Wang , Sihai Dave Zhao

Mediation analysis aims to identify and estimate the effect of an exposure on an outcome that is mediated through one or more intermediate variables. In the presence of multiple intermediate variables, two pertinent methodological questions…

Quantitative Methods · Quantitative Biology 2026-01-06 Allan Jérolon , Flora Alarcon , Florence Pittion , Magali Richard , Olivier François , Etienne E. Birmelé , Vittorio Perduca

We consider an online estimation problem involving a set of agents. Each agent has access to a (personal) process that generates samples from a real-valued distribution and seeks to estimate its mean. We study the case where some of the…

Machine Learning · Computer Science 2022-12-20 Mahsa Asadi , Aurélien Bellet , Odalric-Ambrym Maillard , Marc Tommasi

Online data has the potential to transform how researchers and companies produce election forecasts. Social media surveys, online panels and even comments scraped from the internet can offer valuable insights into political preferences.…

Applications · Statistics 2025-03-20 Alberto Arletti , Maria Letizia Tanturri , Omar Paccagnella

Testing for mediation effect poses a challenge since the null hypothesis (i.e., the absence of mediation effects) is composite, making most existing mediation tests quite conservative and often underpowered. In this work, we propose a…

Methodology · Statistics 2024-11-20 Asmita Roy , Huijuan Zhou , Ni Zhao , Xianyang Zhang

Mediation analysis learns the causal effect transmitted via mediator variables between treatments and outcomes and receives increasing attention in various scientific domains to elucidate causal relations. Most existing works focus on…

Machine Learning · Statistics 2023-09-06 Lin Ge , Jitao Wang , Chengchun Shi , Zhenke Wu , Rui Song

The use of valid surrogate endpoints is an important stake in clinical research to help reduce both the duration and cost of a clinical trial and speed up the evaluation of interesting treatments. Several methods have been proposed in the…

Methodology · Statistics 2025-02-13 Quentin Le Coent , Virginie Rondeau , Catherine Legrand

Estimating mutual correlations between random variables or data streams is essential for intelligent behavior and decision-making. As a fundamental quantity for measuring statistical relationships, mutual information has been extensively…

Information Theory · Computer Science 2024-02-16 Zhengyang Hu , Song Kang , Qunsong Zeng , Kaibin Huang , Yanchao Yang

The wide spread usage of automated data-driven decision support systems has raised a lot of concerns regarding accountability and fairness of the employed models in the absence of human supervision. Existing fairness-aware approaches tackle…

Machine Learning · Computer Science 2020-01-24 Vasileios Iosifidis , Thi Ngoc Han Tran , Eirini Ntoutsi

In the research field of big data, one of important issues is how to recover the sequentially changing sets of true features when the data sets arrive sequentially. The paper presents a general framework for online updating variable…

Methodology · Statistics 2021-01-22 Xiaoyu Ma , Lu Lin , Yujie Gai