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Related papers: Longitudinal Mediation Analysis with Latent Growth…

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Mediation analysis is appealing for its ability to improve understanding of the mechanistic drivers of causal effects, but real-world data complexities challenge its successful implementation, including: 1) the existence of post-exposure…

Methodology · Statistics 2022-12-19 Kara E Rudolph , Nicholas Williams , Ivan Diaz

Learning interpretable representations of data generative latent factors is an important topic for the development of artificial intelligence. With the rise of the large multimodal model, it can align images with text to generate answers.…

Machine Learning · Computer Science 2024-04-19 Mengdan Zhu , Zhenke Liu , Bo Pan , Abhinav Angirekula , Liang Zhao

Two of the most important extensions of the basic regression model are moderated effects (due to interactions) and mediated effects (i.e. indirect effects). Combinations of these effects may also be present. In this work, an important, yet…

Methodology · Statistics 2022-08-17 Geert H. van Kollenburg , Marcel A. Croon

Longitudinal data tracking repeated measurements on individuals are highly valued for research because they offer controls for unmeasured individual heterogeneity that might otherwise bias results. Random effects or mixed models approaches,…

Applications · Statistics 2009-09-29 J. R. Lockwood , Daniel F. McCaffrey

It is often of interest to decompose a total effect of an exposure into the component that acts on the outcome through some mediator and the component that acts independently through other pathways. Said another way, we are interested in…

Statistics Theory · Mathematics 2016-01-21 Peng Ding , Tyler J. VanderWeele

This paper addresses estimation in a longitudinal regression model for association between a scalar outcome and a set of longitudinally-collected functional covariates or predictor curves. The framework consists of estimating a time-varying…

Applications · Statistics 2020-06-30 Madan G. Kundu , Jaroslaw Harezlak , Timothy W. Randolph

The joint modeling of longitudinal and time-to-event data is an active area of statistics research that has received a lot of attention in the recent years. More recently, a new and attractive application of this type of models has been to…

The causal inference literature has increasingly recognized that explicitly targeting treatment effect heterogeneity can lead to improved scientific understanding and policy recommendations. Towards the same ends, studying the causal…

Methodology · Statistics 2023-03-06 Angela Ting , Antonio R. Linero

Surrogate markers offer the potential to reduce the burden of data collection by replacing costly or invasive primary outcomes with more accessible measurements, provided that they can faithfully indicate the effectiveness of a treatment.…

Methodology · Statistics 2026-04-15 Silvaneo V. dos Santos , Layla Parast

Deep generative models can emulate the perceptual properties of complex image datasets, providing a latent representation of the data. However, manipulating such representation to perform meaningful and controllable transformations in the…

Machine Learning · Computer Science 2019-12-13 Michel Besserve , Arash Mehrjou , Rémy Sun , Bernhard Schölkopf

The study of multivariate extremes is dominated by multivariate regular variation, although it is well known that this approach does not provide adequate distinction between random vectors whose components are not always simultaneously…

Statistics Theory · Mathematics 2021-08-17 Natalia Nolde , Jennifer L. Wadsworth

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

There is increasing interest in modeling high-dimensional longitudinal outcomes in applications such as developmental neuroimaging research. Growth curve model offers a useful tool to capture both the mean growth pattern across individuals,…

Methodology · Statistics 2023-05-26 Lu Wang , Xiang Lyu , Zhengwu Zhang , Lexin Li

Quantile regression has demonstrated promising utility in longitudinal data analysis. Existing work is primarily focused on modeling cross-sectional outcomes, while outcome trajectories often carry more substantive information in practice.…

Methodology · Statistics 2018-06-19 Huijuan Ma , Limin Peng , Haoda Fu

Causal mediation analysis can improve understanding of the mechanisms underlying epidemiologic associations. However, the utility of natural direct and indirect effect estimation has been limited by the assumption of no confounder of the…

Applications · Statistics 2020-06-16 Kara E. Rudolph , Oleg Sofrygin , Wenjing Zheng , Mark J. van der Laan

Causal mediation analysis is widely used to investigate how causal effects operate through specific pathways linking treatments or exposures to outcomes. Recently, \texttt{crumble} was developed to enable nonparametric estimation of several…

Methodology · Statistics 2026-04-14 Richard Liu , Nicholas T. Williams , Kara E. Rudolph , Ivan Diaz

This paper considers canonical correlation analysis for two longitudinal variables that are possibly sampled at different time resolutions with irregular grids. We modeled trajectories of the multivariate variables using random effects and…

Applications · Statistics 2023-02-03 Seonjoo Lee , Jongwoo Choi , Zhiqian Fang , F. DuBois Bowman

Personality traits are latent variables, and as such, are impossible to measure without the use of an assessment. Responses on the assessments can be influenced by both transient (state-related) error and measurement error, obscuring the…

Applications · Statistics 2017-06-02 Amy E. Nussbaum , Cornelis J. Potgieter , Michael Chmielewski

An additive growth curve model with orthogonal design matrices is proposed in which observations may have different profile forms. The proposed model allows us to fit data and then estimate parameters in a more parsimonious way than the…

Statistics Theory · Mathematics 2012-01-06 Jianhua Hu , Guohua Yan , Jinhong You

Causal mediation analysis decomposes the total treatment effect into a portion operating through a hypothesized mediator and a residual direct portion. Identification of natural direct and indirect effects typically rests on the mediator…

Methodology · Statistics 2026-05-19 Yuki Ohnishi , Fan Li