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Shrinkage estimators that possess the ability to produce sparse solutions have become increasingly important to the analysis of today's complex datasets. Examples include the LASSO, the Elastic-Net and their adaptive counterparts.…

统计方法学 · 统计学 2017-02-09 Hongmei Liu , J. Sunil Rao

With multiple potential mediators on the causal pathway from a treatment to an outcome, we consider the problem of decomposing the effects along multiple possible causal path(s) through each distinct mediator. Under Pearl's path-specific…

统计方法学 · 统计学 2021-02-04 Wen Wei Loh , Beatrijs Moerkerke , Tom Loeys , Stijn Vansteelandt

Selection of covariates is crucial in the estimation of average treatment effects given observational data with high or even ultra-high dimensional pretreatment variables. Existing methods for this problem typically assume sparse linear…

统计方法学 · 统计学 2023-03-20 Juan Chen , Yingchun Zhou

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…

统计方法学 · 统计学 2026-03-31 Kang Shuai , Lan Liu , Yangbo He , Wei Li

In the field of big data analytics, the search for efficient subdata selection methods that enable robust statistical inferences with minimal computational resources is of high importance. A procedure prior to subdata selection could…

统计方法学 · 统计学 2024-11-12 Vasilis Chasiotis , Lin Wang , Dimitris Karlis

It is of substantial scientific interest to detect mediators that lie in the causal pathway from an exposure to a survival outcome. However, with high-dimensional mediators, as often encountered in modern genomic data settings, there is a…

统计方法学 · 统计学 2024-08-14 Tzu-Jung Huang , Zhonghua Liu , Ian W. McKeague

Mediation analysis examines the pathways through which mediators transmit the effect of an exposure to an outcome. In high-dimensional settings, the joint significance test is commonly applied using variable screening followed by…

统计方法学 · 统计学 2025-08-26 Samuel Osarfo , Sangyoon Yi , Weijia Fu , Seungjun Ahn

We study high-dimensional mediation analysis in which exposures, mediators, and outcomes are all multivariate, and both exposures and mediators may be high-dimensional. We formalize this as a many (exposures)-to-many (mediators)-to-many…

Parametric nonlinear mixed effects models (NLMEs) are now widely used in biometrical studies, especially in pharmacokinetics research and HIV dynamics models, due to, among other aspects, the computational advances achieved during the last…

统计方法学 · 统计学 2012-02-03 Ana Arribas-Gil , Karine Bertin , Cristian Meza , Vincent Rivoirard

We consider selection of random predictors for high-dimensional regression problem with binary response for a general loss function. Important special case is when the binary model is semiparametric and the response function is misspecified…

统计理论 · 数学 2020-02-19 Mariusz Kubkowski , Jan Mielniczuk

Causal mediation analysis aims to characterize an exposure's effect on an outcome and quantify the indirect effect that acts through a given mediator or a group of mediators of interest. With the increasing availability of measurements on a…

While Weighted Lasso sparse regression has appealing statistical guarantees that would entail a major real-world impact in finance, genomics, and brain imaging applications, it is typically scarcely adopted due to its complex…

机器学习 · 计算机科学 2022-06-13 Kenan Šehić , Alexandre Gramfort , Joseph Salmon , Luigi Nardi

Mediation analysis draws increasing attention in many scientific areas such as genomics, epidemiology and finance. In this paper, we propose new statistical inference procedures for high dimensional mediation models, in which both the…

统计方法学 · 统计学 2021-08-30 Xu Guo , Runze Li , Jingyuan Liu , Mudong Zeng

In this paper, we propose a novel method to select significant variables and estimate the corresponding coefficients in multiple-index models with a group structure. All existing approaches for single-index models cannot be extended…

统计理论 · 数学 2015-04-13 Tao Wang , Peirong Xu , Lixing Zhu

We consider the estimation and inference in a system of high-dimensional regression equations allowing for temporal and cross-sectional dependency in covariates and error processes, covering rather general forms of weak temporal dependence.…

计量经济学 · 经济学 2020-05-18 Victor Chernozhukov , Wolfgang K. Härdle , Chen Huang , Weining Wang

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…

统计方法学 · 统计学 2025-07-22 Meilin Jiang , Seonjoo Lee , A. James O'Malley , Pengfei Li , Zhigang Li

Large-scale sequential data is often exposed to some degree of inhomogeneity in the form of sudden changes in the parameters of the data-generating process. We consider the problem of detecting such structural changes in a high-dimensional…

统计方法学 · 统计学 2016-01-15 Florencia Leonardi , Peter Bühlmann

In the context of multiple regression model, suppose that the vector parameter of interest \beta is subjected to lie in the subspace hypothesis H\beta = h, where this restriction is based on either additional information or prior knowledge.…

统计理论 · 数学 2015-05-13 M. Norouzirad , M. Arashi , A. K. Md. Ehsanes Saleh

Large-scale collaborative analysis of brain imaging data, in psychiatry and neu-rology, offers a new source of statistical power to discover features that boost ac-curacy in disease classification, differential diagnosis, and outcome…

This paper characterizes the performance of massive multiuser spatial modulation MIMO systems, when a regularized form of the least-squares method is used for detection. For a generic distortion function and right unitarily invariant…

信息论 · 计算机科学 2020-11-18 Ali Bereyhi , Saba Asaad , Bernhard Gäde , Ralf R. Müller , H. Vincent Poor