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We consider settings where the observations are drawn from a zero-mean multivariate (real or complex) normal distribution with the population covariance matrix having eigenvalues of arbitrary multiplicity. We assume that the eigenvectors of…

统计理论 · 数学 2009-01-22 N. Raj Rao , James A. Mingo , Roland Speicher , Alan Edelman

Modern population genetics studies typically involve genome-wide genotyping of individuals from a diverse network of ancestries. An important, unsolved problem is how to formulate and estimate probabilistic models of observed genotypes that…

种群与进化 · 定量生物学 2017-01-10 Wei Hao , Minsun Song , John D. Storey

Reconstructing components of a genomic mixture from data obtained by means of DNA sequencing is a challenging problem encountered in a variety of applications including single individual haplotyping and studies of viral communities.…

基因组学 · 定量生物学 2019-11-14 Ziqi Ke , Haris Vikalo

This paper analyzes the statistical performance of a robust spectral clustering method for latent structure recovery in noisy data matrices. We consider eigenvector-based clustering applied to a matrix of nonparametric rank statistics that…

机器学习 · 统计学 2024-12-23 Joshua Cape , Xianshi Yu , Jonquil Z. Liao

This paper describes a methodology for analyzing the evolutionary dynamics of genetic programming (GP) using genealogical information, diversity measures and information about the fitness variation from parent to offspring. We introduce a…

机器学习 · 计算机科学 2021-08-25 Bogdan Burlacu , Michael Affenzeller , Michael Kommenda

Here we present the first genome wide statistical test for recessive selection. This test uses explicitly non-equilibrium demographic differences between populations to infer the mode of selection. By analyzing the transient response to a…

种群与进化 · 定量生物学 2014-03-24 Daniel J. Balick , Ron Do , David Reich , Shamil R. Sunyaev

Current computational methods for exon-intron structure prediction from a cluster of transcript (EST, mRNA) data do not exhibit the time and space efficiency necessary to process large clusters of over than 20,000 ESTs and genes longer than…

基因组学 · 定量生物学 2010-05-11 Paola Bonizzoni , Gianluca Della Vedova , Yuri Pirola , Raffaella Rizzi

Genetic variation in human populations is influenced by geographic ancestry due to spatial locality in historical mating and migration patterns. Spatial population structure in genetic datasets has been traditionally analyzed using either…

种群与进化 · 定量生物学 2016-10-26 Anand Bhaskar , Adel Javanmard , Thomas A. Courtade , David Tse

Conventional population genetics considers the evolution of a limited number of genotypes corresponding to phenotypes with different fitness. As model phenotypes, in particular RNA secondary structure, have become computationally tractable,…

种群与进化 · 定量生物学 2008-04-22 Gergely J. Szollosi , Imre Derenyi

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…

统计方法学 · 统计学 2014-12-10 A. Willis , J. Bunge

As the amount and complexity of genetic information increases it is necessary that we explore some efficient ways of handling these data. This study takes the "divide and conquer" approach for analyzing high dimensional genomic data. Our…

应用统计 · 统计学 2013-08-15 Deniz Akdemir

Human populations have experienced dramatic growth since the Neolithic revolution. Recent studies that sequenced a very large number of individuals observed an extreme excess of rare variants, and provided clear evidence of recent rapid…

Mapping human genetic variation is fundamentally interesting in fields such as anthropology and forensic inference. At the same time patterns of genetic diversity confound efforts to determine the genetic basis of complex disease. Due to…

应用统计 · 统计学 2010-07-13 Ann B. Lee , Diana Luca , Kathryn Roeder

We investigate Eigen's model for the evolution of the genetic code of microorganisms using a novel method based on population dynamics analysis. This model, for a given number of offspring, determines long-term survival as a function of the…

种群与进化 · 定量生物学 2024-06-21 Hermano Velten , Carlos Felipe Pinheiro , Alcides Castro e Silva

Although genome-wide association studies (GWAS) on complex traits have achieved great successes, the current leading GWAS approaches simply perform to test each genotype-phenotype association separately for each genetic variant. Curiously,…

应用统计 · 统计学 2022-08-26 The Tien Mai , Pierre Alquier

We study the long-standing problem of determining the number of principal components in econometric applications from a selective inference perspective. We consider i.i.d. observations from a $p$-dimensional random vector with $p<n$ and…

计量经济学 · 经济学 2025-12-12 Yasuyuki Matsumura , Chisato Tachibana

Motivation: Most existing methods for DNA sequence analysis rely on accurate sequences or genotypes. However, in applications of the next-generation sequencing (NGS), accurate genotypes may not be easily obtained (e.g. multi-sample…

基因组学 · 定量生物学 2013-03-19 Heng Li

In an era where accumulating data is easy and storing it inexpensive, feature selection plays a central role in helping to reduce the high-dimensionality of huge amounts of otherwise meaningless data. In this paper, we propose a graph-based…

计算机视觉与模式识别 · 计算机科学 2017-04-19 Giorgio Roffo , Simone Melzi

Networks of genetic expression can be modelled by hypergraphs with the additional structure that real coefficients are given to each vertex-edge incidence. The spectra, i.e. the multiset of the eigenvalues, of such hypergraphs, are known to…

分子网络 · 定量生物学 2021-09-24 Raffaella Mulas , Michael J. Casey

Standing genetic variation provides a rich reservoir of potentially useful mutations facilitating the adaptation to novel environments. Experimental evolution studies have demonstrated that rapid and strong phenotypic responses to selection…

种群与进化 · 定量生物学 2013-07-19 Robert Kofler , Christian Schlötterer