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Consider a population consisting of n individuals, each of whom has one of d types (e.g. their blood type, in which case d=4). We are allowed to query this database by specifying a subset of the population, and in response we observe a…

Probability · Mathematics 2019-02-18 Ahmed El Alaoui , Aaditya Ramdas , Florent Krzakala , Lenka Zdeborova , Michael I. Jordan

Quantitatively predicting phenotype variables by the expression changes in a set of candidate genes is of great interest in molecular biology but it is also a challenging task for several reasons. First, the collected biological…

Applications · Statistics 2017-07-21 Emilie Devijver , Mélina Gallopin , Emeline Perthame

Sex difference in allele frequency is an emerging topic that is critical to our understanding of ascertainment bias, as well as data quality particularly of the largely overlooked X chromosome. To detect sex difference in allele frequency…

Applications · Statistics 2022-12-26 Zhong Wang , Andrew D. Paterson , Lei Sun

Unveiling individuals' preferences for connecting with similar others (choice homophily) beyond the structural factors determining the pool of opportunities, is a challenging task. Here, we introduce a robust methodology for quantifying and…

Physics and Society · Physics 2024-01-25 Sina Sajjadi , Samuel Martin-Gutierrez , Fariba Karimi

We wish to estimate the total number of classes in a population based on sample counts, especially in the presence of high latent diversity. Drawing on probability theory that characterizes distributions on the integers by ratios of…

Methodology · Statistics 2014-12-10 A. Willis , J. Bunge

Many experimental and field studies have shown that adaptation can occur very rapidly. Two qualitatively different modes of fast adaptation have been proposed: selective sweeps wherein large shifts in the allele frequencies occur at a few…

Populations and Evolution · Quantitative Biology 2018-10-19 Kavita Jain , Wolfgang Stephan

The direct detection of haplotypes from short-read DNA sequencing data requires changes to existing small-variant detection methods. Here, we develop a Bayesian statistical framework which is capable of modeling multiallelic loci in sets of…

Genomics · Quantitative Biology 2012-07-24 Erik Garrison , Gabor Marth

$\textbf{Motivation:}$ Small $p$-values are often required to be accurately estimated in large-scale genomic studies for the adjustment of multiple hypothesis tests and the ranking of genomic features based on their statistical…

Applications · Statistics 2023-08-29 Yang Shi , Mengqiao Wang , Weiping Shi , Ji-Hyun Lee , Huining Kang , Hui Jiang

Complete genome sequences contain valuable information about natural selection, but extracting this information for short, widely scattered noncoding elements remains a challenging problem. Here we introduce a new computational method for…

Genomics · Quantitative Biology 2015-03-19 Ilan Gronau , Leonardo Arbiza , Jaaved Mohammed , Adam Siepel

Gene expression and phenotype association can be affected by potential unmeasured confounders from multiple sources, leading to biased estimates of the associations. Since genetic variants largely explain gene expression variations, they…

Methodology · Statistics 2019-10-23 Jiarui Lu , Hongzhe Li

Electronic health records (EHRs) linked with familial relationship data offer a unique opportunity to investigate the genetic architecture of complex phenotypes at scale. However, existing heritability and coheritability estimation methods…

Methodology · Statistics 2025-11-12 Yinjun Zhao , Nicholas Tatonetti , Yuanjia Wang

Modern data sets in various domains often include units that were sampled non-randomly from the population and have a latent correlation structure. Here we investigate a common form of this setting, where every unit is associated with a…

Methodology · Statistics 2019-07-25 Omer Weissbrod , Shachar Kaufman , David Golan , Saharon Rosset

The commonly used latent space embedding techniques, such as Principal Component Analysis, Factor Analysis, and manifold learning techniques, are typically used for learning effective representations of homogeneous data. However, they do…

Machine Learning · Computer Science 2021-10-04 Yasin Yilmaz , Mehmet Aktukmak , Alfred O. Hero

Analysis of low-degree polynomial algorithms is a powerful, newly-popular method for predicting computational thresholds in hypothesis testing problems. One limitation of current techniques for this analysis is their restriction to…

Statistics Theory · Mathematics 2020-11-10 Dmitriy Kunisky

Large-scale statistical analysis of data sets associated with genome sequences plays an important role in modern biology. A key component of such statistical analyses is the computation of $p$-values and confidence bounds for statistics…

Applications · Statistics 2011-01-06 Peter J. Bickel , Nathan Boley , James B. Brown , Haiyan Huang , Nancy R. Zhang

Both linear mixed models (LMMs) and sparse regression models are widely used in genetics applications, including, recently, polygenic modeling in genome-wide association studies. These two approaches make very different assumptions, so are…

Quantitative Methods · Quantitative Biology 2012-11-16 Xiang Zhou , Peter Carbonetto , Matthew Stephens

Pooling specimens, a well-accepted sampling strategy in biomedical research, can be applied to reduce the cost of studying biomarkers. Even if the cost of a single assay is not a major restriction in evaluating biomarkers, pooling can be a…

Applications · Statistics 2012-03-01 Enrique F. Schisterman , Albert Vexler , Aijun Ye , Neil J. Perkins

This paper presents a non-parametric classification technique for identifying a candidate bi-allelic genetic marker set that best describes disease susceptibility in gene-gene interaction studies. The developed technique functions by…

Causal inference approaches in systems genetics exploit quantitative trait loci (QTL) genotypes to infer causal relationships among phenotypes. The genetic architecture of each phenotype may be complex, and poorly estimated genetic…

Applications · Statistics 2010-10-08 Elias Chaibub Neto , Mark P. Keller , Alan D. Attie , Brian S. Yandell

A haplotype block, or simply a block, is a chromosomal segment, DNA base sequence or string that occurs in only a few variants or types in the genomes of a population of interest, and that has an encapsulated or 'private' frequency…

Populations and Evolution · Quantitative Biology 2024-06-21 Oliver Keatinge Clay
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