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Conditional distribution is a fundamental quantity for describing the relationship between a response and a predictor. We propose a Wasserstein generative approach to learning a conditional distribution. The proposed approach uses a…

Machine Learning · Computer Science 2021-12-21 Shiao Liu , Xingyu Zhou , Yuling Jiao , Jian Huang

Mediation analysis is a powerful tool for studying causal pathways between exposure, mediator, and outcome variables of interest. While classical mediation analysis using observational data often requires strong and sometimes unrealistic…

Methodology · Statistics 2024-05-20 Rita Qiuran Lyu , Chong Wu , Xinwei Ma , Jingshen Wang

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

Mediation analysis is an important analytic tool commonly used in a broad range of scientific applications. In this article, we study the problem of mediation analysis when there are multivariate and conditionally dependent mediators, and…

Methodology · Statistics 2025-01-28 Lan Luo , Chengchun Shi , Jitao Wang , Zhenke Wu , Lexin Li

In this paper, we address the problem of conditional modality learning, whereby one is interested in generating one modality given the other. While it is straightforward to learn a joint distribution over multiple modalities using a deep…

Computer Vision and Pattern Recognition · Computer Science 2016-08-29 Gaurav Pandey , Ambedkar Dukkipati

Causal mediation analysis has historically been limited in two important ways: (i) a focus has traditionally been placed on binary treatments and static interventions, and (ii) direct and indirect effect decompositions have been pursued…

Methodology · Statistics 2022-01-13 Nima S. Hejazi , Kara E. Rudolph , Mark J. van der Laan , Iván Díaz

Deep generative models have shown tremendous capability in data density estimation and data generation from finite samples. While these models have shown impressive performance by learning correlations among features in the data, some…

Machine Learning · Computer Science 2024-05-24 Aneesh Komanduri , Xintao Wu , Yongkai Wu , Feng Chen

Unobserved confounding is one of the main challenges when estimating causal effects. We propose a causal reduction method that, given a causal model, replaces an arbitrary number of possibly high-dimensional latent confounders with a single…

Machine Learning · Statistics 2023-02-24 Maximilian Ilse , Patrick Forré , Max Welling , Joris M. Mooij

Diffusion models generate high-quality synthetic data. They operate by defining a continuous-time forward process which gradually adds Gaussian noise to data until fully corrupted. The corresponding reverse process progressively "denoises"…

This paper provides robust estimators and efficient inference of causal effects involving multiple interacting mediators. Most existing works either impose a linear model assumption among the mediators or are restricted to handle…

Methodology · Statistics 2024-01-12 Haoyu Wei , Hengrui Cai , Chengchun Shi , Rui Song

Mediation analysis is a crucial tool for uncovering the mechanisms through which a treatment affects the outcome, providing deeper causal insights and guiding effective interventions. Despite advances in analyzing the mediation effect with…

Methodology · Statistics 2025-08-11 Shi Bo , AmirEmad Ghassami , Debarghya Mukherjee

Recurrent events, including cardiovascular events, are commonly observed in biomedical studies. Researchers must understand the effects of various treatments on recurrent events and investigate the underlying mediation mechanisms by which…

Methodology · Statistics 2025-07-08 Yan-Lin Chen , Yan-Hong Chen , Pei-Fang Su , Huang-Tz Ou , An-Shun Tai

Causal decomposition analysis (CDA) is an approach for modeling the impact of hypothetical interventions to reduce disparities. It is useful for identifying foci that future interventions, including multilevel and multimodal interventions,…

Methodology · Statistics 2026-04-28 John W. Jackson , Ting-Hsuan Chang , Aster Meche , Trang Q. Nguyen

Causal effect moderation investigates how the effect of interventions (or treatments) on outcome variables changes based on observed characteristics of individuals, known as potential effect moderators. With advances in data collection,…

Methodology · Statistics 2024-11-26 Soham Bakshi , Walter Dempsey , Snigdha Panigrahi

While estimation of the marginal (total) causal effect of a point exposure on an outcome is arguably the most common objective of experimental and observational studies in the health and social sciences, in recent years, investigators have…

Statistics Theory · Mathematics 2012-10-18 Eric J. Tchetgen Tchetgen , Ilya Shpitser

A number of methods have been proposed for causal effect estimation, yet few have demonstrated efficacy in handling data with complex structures, such as images. To fill this gap, we propose Causal Multi-task Deep Ensemble (CMDE), a novel…

Machine Learning · Computer Science 2023-05-30 Ziyang Jiang , Zhuoran Hou , Yiling Liu , Yiman Ren , Keyu Li , David Carlson

We consider the problem of predicting perturbation effects via causal models. In many applications, it is a priori unknown which mechanisms of a system are modified by an external perturbation, even though the features of the perturbation…

Machine Learning · Computer Science 2025-07-02 Nora Schneider , Lars Lorch , Niki Kilbertus , Bernhard Schölkopf , Andreas Krause

It becomes increasingly popular to perform mediation analysis for complex data from sophisticated experimental studies. In this paper, we present Granger Mediation Analysis (GMA), a new framework for causal mediation analysis of multiple…

Methodology · Statistics 2017-09-18 Yi Zhao , Xi Luo

The predominant method for evaluating the quality of causal models is to measure the graphical accuracy of the learned model structure. We present an alternative method for evaluating causal models that directly measures the accuracy of…

Artificial Intelligence · Computer Science 2016-08-17 Dan Garant , David Jensen

Causal inference from observational data plays critical role in many applications in trustworthy machine learning. While sound and complete algorithms exist to compute causal effects, many of them assume access to conditional likelihoods,…

Machine Learning · Computer Science 2024-11-04 Md Musfiqur Rahman , Matt Jordan , Murat Kocaoglu