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One of the outstanding challenges in comparative genomics is to interpret the evolutionary importance of regulatory variation between species. Rigorous molecular evolution-based methods to infer evidence for natural selection from…

Populations and Evolution · Quantitative Biology 2013-10-16 Joshua G. Schraiber , Yulia Mostovoy , Tiffany Y. Hsu , Rachel B. Brem

As researchers collect increasingly large molecular data sets to reconstruct the Tree of Life, the heterogeneity of signals in the genomes of diverse organisms poses challenges for traditional phylogenetic analysis. A class of phylogenetic…

Populations and Evolution · Quantitative Biology 2015-09-11 Liang Liu , Zhenxiang Xi , Shaoyuan Wu , Charles Davis , Scott V. Edwards

Gene-sharing networks provide a powerful framework to study the evolution of viruses and mobile genetic elements. These bipartite networks, which link genes to the genomes that contain them, exhibit characteristic degree distributions: a…

Populations and Evolution · Quantitative Biology 2026-04-16 Jaime Iranzo , Pedro Jódar , Eugene V. Koonin , Susanna Manrubia , José A. Cuesta

There is no much doubt that biotic interactions shape community assembly and ultimately the spatial co-variations between species. There is a hope that the signal of these biotic interactions can be observed and retrieved by investigating…

Machine Learning · Statistics 2025-07-15 Sara Si-Moussi , Esther Galbrun , Mickael Hedde , Giovanni Poggiato , Matthias Rohr , Wilfried Thuiller

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

Understanding the temporal spread of gene drive alleles -- alleles that bias their own transmission -- through modeling is essential before any field experiments. In this paper, we present a deterministic reaction-diffusion model describing…

Analysis of PDEs · Mathematics 2023-11-01 Léna Kläy , Léo Girardin , Vincent Calvez , Florence Débarre

Generative AI has achieved remarkable empirical success, but from the perspective of statistics it often remains opaque: its predictions may be accurate, yet the underlying mechanism is difficult to interpret, analyze, and trust. This book…

Machine Learning · Statistics 2026-03-11 Shinto Eguchi

Statistics on migration flows are often derived from census data, which suffer from intrinsic limitations, including costs and infrequent sampling. When censuses are used, there is typically a time gap - up to a few years - between the data…

Computers and Society · Computer Science 2021-06-01 Massimiliano Luca , Gianni Barlacchi , Nuria Oliver , Bruno Lepri

Migration between different habitats is ubiquitous among biological populations. In this Letter, we study a simple quasispecies model for evolution in two different habitats, with different fitness landscapes, coupled through one-way…

Populations and Evolution · Quantitative Biology 2010-12-23 Bartlomiej Waclaw , Rosalind J. Allen , Martin R. Evans

Correctly capturing the symmetry transformations of data can lead to efficient models with strong generalization capabilities, though methods incorporating symmetries often require prior knowledge. While recent advancements have been made…

One among several advantages of measure transport methods is that they allow for a unified framework for processing and analysis of data distributed according to a wide class of probability measures. Within this context, we present results…

Quantitative Methods · Quantitative Biology 2024-05-14 Vanessa Lopez-Marrero , Patrick R. Johnstone , Gilchan Park , Xihaier Luo

We consider a trait-structured population subject to mutation, birth and competition of logistic type, where the number of coexisting types may fluctuate. Applying a limit of rare mutations to this population while keeping the population…

Probability · Mathematics 2011-12-05 Nicolas Champagnat , Amaury Lambert

Random walk has wide applications in many fields, such as machine learning, biology, physics, and chemistry. Random walk can be discrete or continuous in time and space. Asymmetric random walk could be described by drift-diffusion equation.…

Statistical Mechanics · Physics 2024-03-01 Guoxing Lin , Shaokun Zheng

We propose a metric which can be used to compute the amount of heritable variation enabled by a given dynamical system. A distribution of selection pressures is used such that each pressure selects a particular fixed point via competitive…

Populations and Evolution · Quantitative Biology 2017-02-08 Nicholas Guttenberg , Matthieu Laneuville , Melissa Ilardo , Nathanael Aubert-Kato

Understanding and predicting human migration patterns is a central challenge in population dynamics research. Traditional physics-inspired gravity and radiation models represent migration flows as functions of attractiveness using…

Applications · Statistics 2024-12-03 Aric Cutuli , Upmanu Lall , Michael J. Puma , Émile Esmaili , Rachata Muneepeerakul

Two meta-evolutionary optimization strategies described in this paper accelerate the convergence of evolutionary programming algorithms while still retaining much of their ability to deal with multi-modal problems. The strategies, called…

Neural and Evolutionary Computing · Computer Science 2009-03-26 Ted Dunning

With the consolidation of the culture of evidence-based policymaking, the availability of data has become central to policymakers. Nowadays, innovative data sources offer an opportunity to describe demographic, mobility, and migratory…

Computers and Society · Computer Science 2022-09-13 Claudio Bosco , Sara Grubanov-Boskovic , Stefano Iacus , Umberto Minora , Francesco Sermi , Spyridon Spyratos

Statistical divergence is widely applied in multimedia processing, basically due to regularity and interpretable features displayed in data. However, in a broader range of data realm, these advantages may no longer be feasible, and…

Databases · Computer Science 2020-11-20 Ruoyu Wang , Xiaobo Hu , Daniel Sun , Guoqiang Li , Raymond Wong , Shiping Chen , Jianquan Liu

Transportation companies and organizations routinely collect huge volumes of passenger transportation data. By aggregating these data (e.g., counting the number of passengers going from a place to another in every 30 minute interval), it…

Databases · Computer Science 2023-10-16 Chrysanthi Kosyfaki , Nikos Mamoulis , Reynold Cheng , Ben Kao

While Neutral Theory famously describes the number of discrete genetic differences in populations, we consider the number of genetic backgrounds under which such differences are observed - setting limits to the generalizability of their…

Populations and Evolution · Quantitative Biology 2023-03-21 Andre F. Ribeiro