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Geographic barriers prevent migration between populations, thereby facilitating speciation through allopatry. However, these barriers can exhibit dynamic behavior in nature, promoting cycles of expansion and contraction of populations. Such…

Populations and Evolution · Quantitative Biology 2024-02-01 Débora Princepe , Simone Czarnobai , Rodrigo A. Caetano , Flavia M. D. Marquitti , Marcus A. M. de Aguiar , Sabrina B. L. Araujo

Genetic recombination is one of the most important mechanisms that can generate and maintain diversity, and recombination information plays an important role in population genetic studies. However, the phenomenon of recombination is…

Statistics Theory · Mathematics 2014-08-29 Xian Chen , Zhi-Ming Ma , Ying Wang

The gravity model (GM) analogous to Newton's law of universal gravitation has successfully described the flow between different spatial regions, such as human migration, traffic flows, international economic trades, etc. This simple but…

Physics and Society · Physics 2018-09-19 Hye Jin Park , Woo Seong Jo , Sang Hoon Lee , Beom Jun Kim

Phylogenetic inference can potentially result in a more accurate tree using data from multiple loci. However, if the loci are incongruent--due to events such as incomplete lineage sorting or horizontal gene transfer--it can be misleading to…

Populations and Evolution · Quantitative Biology 2016-03-10 Kevin Gori , Tomasz Suchan , Nadir Alvarez , Nick Goldman , Christophe Dessimoz

Test-time scaling has emerged as a promising direction for enhancing the reasoning capabilities of Large Language Models in last few years. In this work, we propose Population-Evolve, a training-free method inspired by Genetic Algorithms to…

Artificial Intelligence · Computer Science 2025-12-23 Yanzhi Zhang , Yitong Duan , Zhaoxi Zhang , Jiyan He , Shuxin Zheng

We reconsider the immediate exchange model and define a more general class of models where mass is split, exchanged and merged. We relate the splitting process to the symmetric inclusion process via thermalization and from that obtain…

Probability · Mathematics 2023-12-04 Frank Redig , Federico Sau

This paper presents a novel approach to classical linear regression, enabling model computation from data streams or in a distributed setting while preserving data privacy in federated environments. We extend this framework to generalized…

Computation · Statistics 2026-05-29 Daniel Tinoco , Raquel Menezes , Carlos Baquero

Samples of multiple complete genome sequences contain vast amounts of information about the evolutionary history of populations, much of it in the associations among polymorphisms at different loci. Current methods that take advantage of…

Populations and Evolution · Quantitative Biology 2016-11-08 Daniel B. Weissman , Oskar Hallatschek

We propose a method for obtaining joint probabilistic projections of migration rates for all countries, broken down by age and sex. Joint trajectories for all countries are constrained to satisfy the requirement of zero global net…

Applications · Statistics 2013-10-29 Jonathan J. Azose , Adrian E. Raftery

Multi-model inference covers a wide range of modern statistical applications such as variable selection, model confidence set, model averaging and variable importance. The performance of multi-model inference depends on the availability of…

Statistics Theory · Mathematics 2019-06-07 Ching-Wei Cheng , Guang Cheng

Populations exhibiting partial migration consist of two groups of individuals: Those that mi- grate between habitats, and those that remain fixed in a single habitat. We propose several discrete-time population models to investigate the…

Dynamical Systems · Mathematics 2016-10-31 Anushaya Mohapatra , Haley A. Ohms , David A. Lytle , Patrick De Leenheer

Speciation is often associated with geographical barriers that limit gene flow. However, species can also emerge in continuous homogeneous environments through isolation by distance. When the environment is not homogeneous, natural…

Populations and Evolution · Quantitative Biology 2026-03-24 Lara D. Hissa , Flavia M. D. Marquitti , Marcus A. M. de Aguiar

We study how international flights can facilitate the spread of an epidemic to a worldwide scale. We combine an infrastructure network of flight connections with a population density dataset to derive the mobility network, and then we…

Physics and Society · Physics 2021-07-26 Hugo Dolan , Riccardo Rastelli

We analyse a model consisting of a population of individuals which is subdivided into a finite set of demes, each of which has a fixed but differing number of individuals. The individuals can reproduce, die and migrate between the demes…

Populations and Evolution · Quantitative Biology 2014-08-20 George W A Constable , Alan J McKane

The simplest model of a smart spatial redistribution of individuals is proposed. A single-species population is considered, to be composed of two discrete subpopulations inhabiting two stations; migration is a transfer between them. The…

Populations and Evolution · Quantitative Biology 2016-09-08 Michael Sadovsky

An emerging area of research aims to learn deep generative models with limited training data. Prior generative models like GANs and diffusion models require a lot of data to perform well, and their performance degrades when they are trained…

Computer Vision and Pattern Recognition · Computer Science 2024-09-27 Chirag Vashist , Shichong Peng , Ke Li

In this work, we propose and analyze a novel Schelling-type metapopulation model that examines how random relocations of families between neighborhoods can lead to segregation. The model consists of a large number of houses organized into…

Physics and Society · Physics 2026-04-29 Fei Cao , Roberto Cortez

We consider distributed estimation of the inverse covariance matrix, also called the concentration or precision matrix, in Gaussian graphical models. Traditional centralized estimation often requires global inference of the covariance…

Machine Learning · Statistics 2015-06-15 Zhaoshi Meng , Dennis Wei , Ami Wiesel , Alfred O. Hero

Kingman's model describes the evolution of a one-locus haploid population of infinite size and discrete generations under the competition of selection and mutation. A random generalisation has been made in a previous paper which assumes all…

Probability · Mathematics 2020-12-01 Linglong Yuan

The generalized Fleming-Viot processes were defined in 1999 by Donnelly and Kurtz using a particle model and by Bertoin and Le Gall in 2003 using stochastic flows of bridges. In both methods, the key argument used to characterize these…

Probability · Mathematics 2012-06-06 Clément Foucart