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Regression models with both high-dimensional responses and covariates have attracted growing attention. Standard multivariate regression models become inadequate when the response variables depend not only on observed covariates but also on…

Methodology · Statistics 2026-05-01 Jing Ouyang , Chengyu Cui , Yunxiao Chen , Kean Ming Tan , Gongjun Xu

Additive genetic variance in natural populations is commonly estimated using mixed models, in which the covariance of the genetic effects is modeled by a genetic similarity matrix derived from a dense set of markers. An important but…

Applications · Statistics 2015-09-09 Willem Kruijer

Presented here is a simple method for cross-validated genome-wide association studies (cvGWAS). Focusing on phenotype prediction, the method is able to reveal a significant amount of missing heritability by properly selecting a small number…

Quantitative Methods · Quantitative Biology 2013-08-08 Xia Shen

Covariance matrix estimation is a fundamental statistical task in many applications, but the sample covariance matrix is sub-optimal when the sample size is comparable to or less than the number of features. Such high-dimensional settings…

Methodology · Statistics 2022-06-06 Huiqin Xin , Sihai Dave Zhao

A computationally simple genome-wide association study (GWAS) algorithm for estimating the main and epistatic effects of markers or single nucleotide polymorphisms (SNPs) is proposed. It is based on the intuitive assumption that changes of…

Quantitative Methods · Quantitative Biology 2017-08-08 Lev V. Utkin , Irina L. Utkina

Since the emergence of genome-wide association studies (GWASs), estimation of the narrow sense heritability explained by common single-nucleotide polymorphisms (SNPs) via linear mixed model approaches became widely used. As in most GWASs,…

Methodology · Statistics 2015-07-31 Najla Saad Elhezzani

Genome-wide association studies (GWAS) suggests that a complex disease is typically affected by many genetic variants with small or moderate effects. Identification of these risk variants remains to be a very challenging problem.…

Methodology · Statistics 2014-01-21 Dongjun Chung , Can Yang , Cong Li , Joel Gelernter , Hongyu Zhao

We consider applying Bayesian Variable Selection Regression, or BVSR, to genome-wide association studies and similar large-scale regression problems. Currently, typical genome-wide association studies measure hundreds of thousands, or…

Applications · Statistics 2011-10-28 Yongtao Guan , Matthew Stephens

Global expression analyses using microarray technologies are becoming more common in genomic research, therefore, new statistical challenges associated with combining information from multiple studies must be addressed. In this paper we…

Applications · Statistics 2013-01-29 Jia Li , George C. Tseng

Genome-Wide Association Studies are typically conducted using linear models to find genetic variants associated with common diseases. In these studies, association testing is done on a variant-by-variant basis, possibly missing out on…

Sparse models for high-dimensional linear regression and machine learning have received substantial attention over the past two decades. Model selection, or determining which features or covariates are the best explanatory variables, is…

Machine Learning · Statistics 2019-10-15 Yuan Li , Benjamin Mark , Garvesh Raskutti , Rebecca Willett , Hyebin Song , David Neiman

In the past decade, Genome-Wide Association Studies (GWAS) have delivered an increasingly broad view of the genetic basis of human phenotypic variation. One of the major developments from GWAS is polygenic scores, a genetic predictor of an…

Genomics · Quantitative Biology 2019-09-04 Graham Coop

In genome-wide association studies (GWAS), penalization is an important approach for identifying genetic markers associated with trait while mixed model is successful in accounting for a complicated dependence structure among samples.…

Methodology · Statistics 2013-05-21 Jin Liu , Can Yang , Xingjie Shi , Cong Li , Jian Huang , Hongyu Zhao , Shuangge Ma

Under complete linkage disequilibrium (LD), robust tests often have greater power than Pearson's chi-square test and trend tests for the analysis of case-control genetic association studies. Robust statistics have been used in…

Methodology · Statistics 2010-10-26 Gang Zheng , Jungnam Joo , Dmitri Zaykin , Colin Wu , Nancy Geller

This paper tackles the problem of robust covariance matrix estimation when the data is incomplete. Classical statistical estimation methodologies are usually built upon the Gaussian assumption, whereas existing robust estimation ones assume…

It is of great interest to quantify the contributions of genetic variation to brain structure and function, which are usually measured by high-dimensional imaging data (e.g., magnetic resonance imaging). In addition to the variance, the…

Applications · Statistics 2020-05-05 Benjamin B. Risk , Hongtu Zhu

Traditional GWAS has advanced our understanding of complex diseases but often misses nonlinear genetic interactions. Deep learning offers new opportunities to capture complex genomic patterns, yet existing methods mostly depend on feature…

Machine Learning · Computer Science 2025-07-08 Iqra Farooq , Sara Atito , Ayse Demirkan , Inga Prokopenko , Muhammad Rana

Transcriptome-wide association studies (TWAS) are powerful tools for identifying gene-level associations by integrating genome-wide association studies and gene expression data. However, most TWAS methods focus on linear associations…

Methodology · Statistics 2024-12-10 Tianying Wang , Iuliana Ionita-Laza , Ying Wei

With the recent advent of high-throughput genotyping techniques, genetic data for genome-wide association studies (GWAS) have become increasingly available, which entails the development of efficient and effective statistical approaches.…

Applications · Statistics 2015-02-04 Jiahan Li , Wei Zhong , Runze Li , Rongling Wu

Genome-Wide Association Studies (GWAS) offer an exciting and promising new research avenue for finding genes for complex diseases. Traditional case-control and cohort studies offer many advantages for such designs. Family-based association…

Methodology · Statistics 2010-10-25 Nan M. Laird , Christoph Lange