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We analyse numerically the effects of small population size in the initial transient regime of a simple example population dynamics. These effects play an important role for the numerical determination of large deviation functions of…

Statistical Mechanics · Physics 2017-09-28 Esteban Guevara Hidalgo , Vivien Lecomte

Population-based learning paradigms, including evolutionary strategies, Population-Based Training (PBT), and recent model-merging methods, combine fast within-model optimisation with slower population-level adaptation. Despite their…

Machine Learning · Computer Science 2026-03-26 Giacomo Borghi , Hyesung Im , Lorenzo Pareschi

This paper derives a population sizing relationship for genetic programming (GP). Following the population-sizing derivation for genetic algorithms in Goldberg, Deb, and Clark (1992), it considers building block decision making as a key…

Artificial Intelligence · Computer Science 2007-05-23 K. Sastry , U. -M. O'Reilly , D. E. Goldberg

Population dynamics models play an important role in a number of fields, such as actuarial science, demography, and ecology, as they help explain past fluctuations and predict future population. The accuracy of these models is often…

Methodology · Statistics 2025-11-06 Paolo Onorati , Sofia Ruiz-Suarez , Radu Craiu

This article is a presentation of specific recent results describing scaling limits of individual-based models. Thanks to them, we wish to relate the time-scales typical of demographic dynamics and natural selection to the parameters of the…

Probability · Mathematics 2023-08-01 Aurélien Velleret

Mendelian randomization is a powerful tool for causal inference in observational studies. The two-sample summary-data design, which estimates genetic associations with exposures and outcomes in separate cohorts, is the most widely used…

Methodology · Statistics 2026-04-29 Dingke Tang , Xuming He , Shu Yang

We have simulated demographic changes in the human population using the Penna microscopic model, based on the simple Monte Carlo method. The results of simulations have shown that during a few generations changes in the genetic pool of a…

Statistical Mechanics · Physics 2007-05-23 A. Laszkiewicz , Sz. Szymczak , S. Cebrat

We describe a continuous-time modelling framework for biological population dynamics that accounts for demographic noise. In the spirit of the methodology used by statistical physicists, transitions between the states of the system are…

Populations and Evolution · Quantitative Biology 2018-07-19 George W. A. Constable , Alan J. McKane

Correlation of gene histories in the human genome determines the patterns of genetic variation (haplotype structure) and is crucial to understanding genetic factors in common diseases. We derive closed analytical expressions for the…

Genomics · Quantitative Biology 2009-11-10 A. Eriksson , B. Mehlig

An explosion of high-throughput DNA sequencing in the past decade has led to a surge of interest in population-scale inference with whole-genome data. Recent work in population genetics has centered on designing inference methods for…

Machine Learning · Computer Science 2018-11-07 Jeffrey Chan , Valerio Perrone , Jeffrey P. Spence , Paul A. Jenkins , Sara Mathieson , Yun S. Song

Since steep declines in a population's size also typically alter its composition, population bottlenecks are considered highly important for evolution. However, despite such significance, the mechanisms governing the impact of a given…

Populations and Evolution · Quantitative Biology 2022-06-28 Emanuele Crosato , Jeffrey N. Philippson , Shashi Thutupalli , Richard G. Morris

In an extant population, how much information do extant individuals provide on the pedigree of their ancestors? Recent work by Kim, Mossel, Ramnarayan and Turner (2020) studied this question under a number of simplifying assumptions,…

Populations and Evolution · Quantitative Biology 2022-11-29 Elchanan Mossel , David Vulakh

While the use of spatial agent-based and individual-based models has flourished across many scientific disciplines, the complexities these models generate are often difficult to manage and quantify. This research reduces population-driven,…

Physics and Society · Physics 2021-08-24 John C. Stevenson

We study two models of population with migration. We assume that we are given infinitely many islands with the same number r of resources, each individual consuming one unit of resources. On an island lives an individual whose genealogy is…

Probability · Mathematics 2012-06-27 Raoul Normand

This study proposes a data condensation method for multivariate kernel density estimation by genetic algorithm. First, our proposed algorithm generates multiple subsamples of a given size with replacement from the original sample. The…

Methodology · Statistics 2022-03-04 Kiheiji Nishida

Study sample sizes in human genetics are growing rapidly, and in due course it will become routine to analyze samples with hundreds of thousands if not millions of individuals. In addition to posing computational challenges, such large…

Populations and Evolution · Quantitative Biology 2015-06-24 Anand Bhaskar , Andrew G. Clark , Yun S. Song

Is there an advantage to heterogeneity in a population where individuals grow and divide by fission? This is a broad question, to which there is no easy universal answer. This article aims to provide a quantitative answer in the specific…

Analysis of PDEs · Mathematics 2025-05-19 Marie Doumic , Anaïs Rat , Magali Tournus

Many dynamic microsimulation models have shown their ability to reasonably project detailed population and households using non-data based household formation and dissolution rules. Although, those rules allow modellers to simplify changes…

General Economics · Economics 2020-06-18 Amarin Siripanich , Taha Rashidi

Integrated population models (IPMs) combine multiple ecological data types such as capture-mark-recapture histories, reproduction surveys, and population counts into a single statistical framework. In such models, each data type is…

Populations and Evolution · Quantitative Biology 2024-11-05 Frédéric Barraquand

Generative models derived from large protein sequence alignments define complex fitness landscapes, but their utility for accurately modeling non-equilibrium evolutionary dynamics remains unclear. In this work, we perform a rigorous…

Populations and Evolution · Quantitative Biology 2026-02-10 Leonardo Di Bari , Thierry Mora , Andrea Pagnani , Aleksandra M. Walczak , Francesco Zamponi , Saverio Rossi
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