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Interactions between genes and environmental factors may play a key role in the etiology of many common disorders. Several regularized generalized linear models (GLMs) have been proposed for hierarchical selection of gene by environment…

Methodology · Statistics 2023-12-22 Julien St-Pierre , Karim Oualkacha , Julien St-Pierre

Genotype-by-Environment (GxE) interactions influence the performance of genotypes across diverse environments, reducing the predictability of phenotypes in target environments. In-depth analysis of GxE interactions facilitates the…

Computer Vision and Pattern Recognition · Computer Science 2026-04-21 Meng'en Qin , Zhe Li , Xiaohui Yang

Gene-environment interactions have important implications to elucidate the genetic basis of complex diseases beyond the joint function of multiple genetic factors and their interactions (or epistasis). In the past, G$\times$E interactions…

Applications · Statistics 2020-03-09 Fei Zhou , Jie Ren , Xi Lu , Shuangge Ma , Cen Wu

If error distribution has heteroscedasticity, it voliates the assumption of linear regression. Expectile regression is a powerful tool for estimating the conditional expectiles of a response variable in this setting. Since multiple levels…

Methodology · Statistics 2022-08-03 Jinghang Lin , Yuan Huang , Shuangge Ma

Sparse regression problems, where the goal is to identify a small set of relevant predictors, often require modeling not only main effects but also meaningful interactions through other variables. While the pliable lasso has emerged as a…

Methodology · Statistics 2025-09-10 The Tien Mai

We introduce a pliable lasso method for estimation of interaction effects in the Cox proportional hazards model framework. The pliable lasso is a linear model that includes interactions between covariates X and a set of modifying variables…

Applications · Statistics 2018-07-19 Wenfei Du , Rob Tibshirani

The two-phase sampling design is a cost-efficient way of collecting expensive covariate information on a judiciously selected subsample. It is natural to apply such a strategy for collecting genetic data in a subsample enriched for exposure…

Applications · Statistics 2013-05-27 Jaeil Ahn , Bhramar Mukherjee , Stephen B. Gruber , Malay Ghosh

For the etiology, progression, and treatment of complex diseases, gene-environment (G-E) interactions have important implications beyond the main G and E effects. G-E interaction analysis can be more challenging with the higher…

Methodology · Statistics 2018-10-19 Mengyun Wu , Qingzhao Zhang , Shuangge Ma

We introduce a method for learning pairwise interactions in a manner that satisfies strong hierarchy: whenever an interaction is estimated to be nonzero, both its associated main effects are also included in the model. We motivate our…

Methodology · Statistics 2013-08-14 Michael Lim , Trevor Hastie

For complex diseases, the interactions between genetic and environmental risk factors can have important implications beyond the main effects. Many of the existing interaction analyses conduct marginal analysis and cannot accommodate the…

Methodology · Statistics 2016-05-31 Yangguang Zang , Yinjun Zhao , Qingzhao Zhang , Hao Chai , Sanguo Zhang , Shuangge Ma

It is increasingly of interest in statistical genetics to test for the presence of a mechanistic interaction between genetic (G) and environmental (E) risk factors by testing for the presence of an additive GxE interaction. In case-control…

Methodology · Statistics 2018-08-21 Eric J. Tchetgen Tchetgen , Xu Shi , Tamar Sofer , Benedict H. W. Wong

Environmental health studies are increasingly measuring multiple pollutants to characterize the joint health effects attributable to exposure mixtures. However, the underlying dose-response relationship between toxicants and health outcomes…

In high-throughput genetics studies, an important aim is to identify gene-environment interactions associated with the clinical outcomes. Recently, multiple marginal penalization methods have been developed and shown to be effective in…

Methodology · Statistics 2021-02-24 Xi Lu , Kun Fan , Jie Ren , Cen Wu

Motivated by the goal of expanding currently existing genotype x environment interaction (GxE) models to simultaneously include multiple genetic variants and environmental exposures in a parsimonious way, we developed a novel method to…

Gene-environment (G$\times$E) interactions have important implications to elucidate the etiology of complex diseases beyond the main genetic and environmental effects. Outliers and data contamination in disease phenotypes of G$\times$E…

Methodology · Statistics 2020-06-11 Jie Ren , Fei Zhou , Xiaoxi Li , Shuangge Ma , Yu Jiang , Cen Wu

For complex diseases, beyond the main effects of genetic (G) and environmental (E) factors, gene-environment (G-E) interactions also play an important role. Many of the existing G-E interaction methods conduct marginal analysis, which may…

Methodology · Statistics 2020-03-06 Qingzhao Zhang , Hao Chai , Shuangge Ma

Many complex diseases are known to be affected by the interactions between genetic variants and environmental exposures beyond the main genetic and environmental effects. Study of gene-environment (G$\times$E) interactions is important for…

Methodology · Statistics 2019-10-01 Jie Ren , Fei Zhou , Xiaoxi Li , Qi Chen , Hongmei Zhang , Shuangge Ma , Yu Jiang , Cen Wu

A daunting challenge faced by modern biological sciences is finding an efficient and computationally feasible approach to deal with the curse of high dimensionality. The problem becomes even more severe when the research focus is on…

Methodology · Statistics 2013-04-16 Hung Hung , Yu-Tin Lin , Pengwen Chen , Chen-Chien Wang , Su-Yun Huang , Jung-Ying Tzeng

We consider the estimation of regression models on strata defined using a categorical covariate, in order to identify interactions between this categorical covariate and the other predictors. A basic approach requires the choice of a…

Statistics Theory · Mathematics 2016-11-09 Edouard Ollier , Vivian Viallon

This article describes a full Bayesian treatment for simultaneous fixed-effect selection and parameter estimation in high-dimensional generalized linear mixed models. The approach consists of using a Bayesian adaptive Lasso penalty for…

Methodology · Statistics 2016-08-31 Dao Thanh Tung , Minh-Ngoc Tran , Tran Manh Cuong
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