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Genetic data are now routinely used to study the history of population size, subdivision, and gene flow. A variety of formal statistical methods is available for testing hypotheses and fitting models to data. Yet it is often unclear which…

Populations and Evolution · Quantitative Biology 2022-01-11 Alan R. Rogers

Genetic drift is stochastic fluctuations of alleles frequencies in a population due to sampling effects. We consider a model of drift in an equilibrium population, with high mutation rates: few functional mutations per generation. Such…

Populations and Evolution · Quantitative Biology 2017-01-12 Alexey A. Shadrin , Dmitri V. Parkhomchuk

Traditionally, heritability has been estimated using family-based methods such as twin studies. Advancements in molecular genomics have facilitated the development of alternative methods that utilise large samples of unrelated or related…

We explore the connection between evolution and large-deviation theory. To do so, we study evolutionary dynamics in which individuals experience mutations, reproduction, and selection using variants of the Moran model. We show that, in the…

Populations and Evolution · Quantitative Biology 2026-01-09 Sara Dal Cengio , Quentin Laurenceau , Vivien Lecomte , Charline Smadi , Julien Tailleur

Human populations have a complex history of introgression and of changing population size. Human genetic variation has been affected by both these processes, so that inference of past population size depends upon the pattern of gene flow…

Populations and Evolution · Quantitative Biology 2017-03-29 John Hawks

The standard methods for detecting differential gene expression are mostly designed for analyzing a single gene expression experiment. When data from multiple related gene expression studies are available, separately analyzing each study is…

Methodology · Statistics 2013-11-07 Yingying Wei , Hongkai Ji

Granular materials are inherently out-of-equilibrium systems due to energy dissipation through inelastic collisions and friction. When driven by mechanical agitation such as vibration, they exhibit rich collective behaviors including…

Soft Condensed Matter · Physics 2026-05-01 Kai Kono , Hiroyuki Ebata , Shio Inagaki

Human migration is a type of human mobility, where a trip involves a person moving with the intention of changing their home location. Predicting human migration as accurately as possible is important in city planning applications,…

Social and Information Networks · Computer Science 2017-11-16 Caleb Robinson , Bistra Dilkina

Phylogenetic analyses of gene expression have great potential for addressing a wide range of questions. These analyses will, for example, identify genes that have evolutionary shifts in expression that are correlated with evolutionary…

Populations and Evolution · Quantitative Biology 2014-01-14 Casey W. Dunn , Xi Luo , Zhijin Wu

Evolutionary branching is analysed in a stochastic, individual-based population model under mutation and selection. In such models, the common assumption is that individual reproduction and life career are characterised by values of a…

Populations and Evolution · Quantitative Biology 2025-10-01 S. Sagitov , B. Mehlig , P. Jagers , V. Vatutin

The modeling of time series is becoming increasingly critical in a wide variety of applications. Overall, data evolves by following different patterns, which are generally caused by different user behaviors. Given a time series, we define…

Machine Learning · Computer Science 2022-07-13 Wenjie Hu , Jianping Huang , Liang Wu , Yang Yang , Zongtao Liu , Zhanlin Sun , Bingshen Yao , Ke Chen

The myriad microscopic interactions among the individual organisms that constitute an ecological system collectively give rise, at the macroscopic scale, to evolutionary trends. The ability to detect the directionality of such trends is…

Populations and Evolution · Quantitative Biology 2025-07-21 Andrea Marchetti , Henrik Jeldtoft Jensen

In this article, we introduce a random (directed) graph model for the simultaneous forwards and backwards description of a rather broad class of Cannings models with a seed bank mechanism. This provides a simple tool to establish a sampling…

Probability · Mathematics 2023-05-23 Adrián González Casanova , Lizbeth Peñaloza , Arno Siri-Jégousse

Many aspects of the historical relationships between populations in a species are reflected in genetic data. Inferring these relationships from genetic data, however, remains a challenging task. In this paper, we present a statistical model…

Populations and Evolution · Quantitative Biology 2012-11-20 Joseph K. Pickrell , Jonathan K. Pritchard

Diversified distribution matching (DDM) finds a unified translation function mapping a diverse collection of conditional source distributions to their target counterparts. DDM was proposed to resolve content misalignment issues in unpaired…

Machine Learning · Computer Science 2025-11-11 Sagar Shrestha , Xiao Fu

Quantifying aleatoric uncertainty in medical image segmentation is critical since it is a reflection of the natural variability observed among expert annotators. A conventional approach is to model the segmentation distribution using the…

Computer Vision and Pattern Recognition · Computer Science 2026-04-08 Phi Van Nguyen , Ngoc Huynh Trinh , Duy Minh Lam Nguyen , Phu Loc Nguyen , Quoc Long Tran

Finding a transformation between two unknown probability distributions from finite samples is crucial for modeling complex data distributions and performing tasks such as sample generation, domain adaptation and statistical inference. One…

Machine Learning · Computer Science 2024-07-11 Zhe Xiong , Qiaoqiao Ding , Xiaoqun Zhang

We develop a continuous mathematical model of population dynamics that describes the sequential emergence of new genotypes under limited resources. The framework models genotype density as a nonlinear flow in mutation space, combining…

Populations and Evolution · Quantitative Biology 2025-12-10 Alexander Bratus , Tatiana Yakushkina , Vladimir Posvyanski

It is generally accepted that "diversity" is associated with success in evolutionary algorithms. However, diversity is a broad concept that can be measured and defined in a multitude of ways. To date, most evolutionary computation research…

Neural and Evolutionary Computing · Computer Science 2023-01-18 Jose Guadalupe Hernandez , Alexander Lalejini , Emily Dolson

A rigorous methodology is proposed to study cell division data consisting in several observed genealogical trees of possibly different shapes. The procedure takes into account missing observations, data from different trees, as well as the…

Applications · Statistics 2013-04-15 Benoîte de Saporta , Anne Gégout Petit , Laurence Marsalle