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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

The expectation-maximization (EM) algorithm is an iterative method for finding maximum likelihood estimates when data are incomplete or are treated as being incomplete. The EM algorithm and its variants are commonly used for parameter…

Computation · Statistics 2013-06-26 Ryan P. Browne , Sanjeena Subedi , Paul McNicholas

Genetic variants identified to date by genome-wide association studies only explain a small fraction of total heritability. Gene-by-gene interaction is one important potential source of unexplained heritability. In the first part of this…

Methodology · Statistics 2016-05-10 Chen Lu

In this paper we have proposed a model for the distribution of allelic probabilities for generating populations as reliably as possible. Our objective was to develop such a model which would allow simulating allelic probabilities with…

In this study, we consider the problem of variable selection and estimation in high-dimensional linear regression models when the complete data are not accessible, but only certain marginal information or summary statistics are available.…

Applications · Statistics 2018-05-04 Jian Huang , Yuling Jiao , Jin Liu , Can Yang

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

The aetiology of polygenic obesity is multifactorial, which indicates that life-style and environmental factors may influence multiples genes to aggravate this disorder. Several low-risk single nucleotide polymorphisms (SNPs) have been…

Genomics · Quantitative Biology 2018-08-27 Casimiro A. Curbelo Montañez , Paul Fergus , Carl Chalmers , Jade Hind

Genome-wide association studies (GWAS) are used to identify relationships between genetic variations and specific traits. When applied to high-dimensional medical imaging data, a key step is to extract lower-dimensional, yet informative…

Quantitative Methods · Quantitative Biology 2023-09-28 Yaochen Xie , Ziqian Xie , Sheikh Muhammad Saiful Islam , Degui Zhi , Shuiwang Ji

Reliability is one of the important measures of how well the system meets its design objective, and mathematically is the probability that a system will perform satisfactorily for at least a given period of time. When the system is…

Physics and Society · Physics 2014-12-16 Ho Tat Lam , Kwok Yip Szeto

Gaussian mixture models (GMMs) are fundamental statistical tools for modeling heterogeneous data. Due to the nonconcavity of the likelihood function, the Expectation-Maximization (EM) algorithm is widely used for parameter estimation of…

Statistics Theory · Mathematics 2025-11-10 Xin Bing , Dehan Kong , Bingqing Li

A line of recent work has analyzed the behavior of the Expectation-Maximization (EM) algorithm in the well-specified setting, in which the population likelihood is locally strongly concave around its maximizing argument. Examples include…

Statistics Theory · Mathematics 2020-04-30 Raaz Dwivedi , Nhat Ho , Koulik Khamaru , Michael I. Jordan , Martin J. Wainwright , Bin Yu

Complex networks hosting binary-state dynamics arise in a variety of contexts. In spite of previous works, to fully reconstruct the network structure from observed binary data remains to be challenging. We articulate a statistical inference…

Physics and Society · Physics 2018-03-14 Chuang Ma , Han-Shuang Chen , Ying-Cheng Lai , Hai-Feng Zhang

Obesity is widely recognized as a serious and pervasive health concern. We study obesity through body mass index (BMI), which is known to be highly heritable, and identify important genetic risk factors for BMI from hundreds of thousands of…

Applications · Statistics 2026-03-31 Jiantong Wang , Heng Lian , Yan Yu , Tianhai Zu , Heping Zhang

Mixture of linear regression is well studied in statistics and machine learning, where the data points are generated probabilistically using $k$ linear models. Algorithms like Expectation Maximization (EM) may be used to recover the ground…

Machine Learning · Computer Science 2026-04-08 Avishek Ghosh

Genome-wide association studies, in which as many as a million single nucleotide polymorphisms (SNP) are measured on several thousand samples, are quickly becoming a common type of study for identifying genetic factors associated with many…

Methodology · Statistics 2010-10-25 Charles Kooperberg , Michael LeBlanc , James Y. Dai , Indika Rajapakse

Drug development is a very costly and lengthy process, while repositioned or repurposed drugs could be brought into clinical practice within a shorter time-frame and at a much reduced cost. The past decade has observed a massive growth in…

Genomics · Quantitative Biology 2019-11-14 Alexandria Lau , Hon-Cheong So

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

Genome-wide association studies (GWAS) provide a means of examining the common genetic variation underlying a range of traits and disorders. In addition, it is hoped that GWAS may provide a means of differentiating affected from unaffected…

Testing the association between a phenotype and many genetic variants from case-control data is essential in genome-wide association study (GWAS). This is a challenging task as many such variants are correlated or non-informative.…

Methodology · Statistics 2016-01-25 Zhendong Huang , Davide Ferrari , Guoqi Qian

Taking advantages of high-throughput genotyping technology of single nucleotide polymorphism (SNP), large genome-wide association studies (GWASs) have been considered as the promise to unravel the complex relationships between genotypes and…

Genomics · Quantitative Biology 2018-11-20 Xuan Guo
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