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We consider a population model where individuals behave independently from each other and whose genealogy is described by a chronological tree called splitting tree. The individuals have i.i.d. (non-exponential) lifetime durations and give…

概率论 · 数学 2014-05-20 Mathieu Richard

Many population genetic models have been developed for the purpose of inferring population size and growth rates from random samples of genetic data. We examine two popular approaches to this problem, the coalescent and the…

种群与进化 · 定量生物学 2014-08-29 Erik M. Volz , Simon DW Frost

The error threshold transition in a stochastic (i.e. finite population) version of the quasispecies model of molecular evolution is studied using finite-size scaling. For the single-sharp-peak replication landscape, the deterministic model…

统计力学 · 物理学 2009-10-31 P. R. A. Campos , J. F. Fontanari

We introduce fidelity into the bit-string Penna model for biological ageing and study the advantage of this fidelity when it produces a higher survival probability of the offspring due to paternal care. We attribute a lower reproduction…

统计力学 · 物理学 2009-10-31 A. O. Sousa , S. Moss de Oliveira

Natural selection explains how life has evolved over millions of years from more primitive forms. The speed at which this happens, however, has sometimes defied formal explanations when based on random (uniformly distributed) mutations.…

神经与进化计算 · 计算机科学 2018-06-22 Santiago Hernández-Orozco , Narsis A. Kiani , Hector Zenil

Generative models for networks with communities have been studied extensively for being a fertile ground to establish information-theoretic and computational thresholds. In this paper we propose a new toy model for planted generative models…

信息论 · 计算机科学 2019-05-02 Luca Corinzia , Paolo Penna , Luca Mondada , Joachim M. Buhmann

This paper considers a nonlinear model for population dynamics with age structure. The fertility rate with respect to age is non constant and has the form proposed by [17]. Moreover, its multiplicative structure and the multiplicative…

综合数学 · 数学 2023-12-06 Dragos-Patru Covei , Traian A. Pirvu , Catalin Sterbeti

Consider first a memoryless population model described by the usual branching process with a given mean reproduction matrix on a finite space of types. Motivated by the consequences of atavism in Evolutionary Biology, we are interested in a…

概率论 · 数学 2025-01-03 Jean Bertoin

Ageing's sensitivity to natural selection has long been discussed because of its apparent negative effect on individual's fitness. Thanks to the recently described (Smurf) 2-phase model of ageing we were allowed to propose a fresh angle for…

概率论 · 数学 2019-05-17 Sylvie Méléard , Michael Rera , Tristan Roget

The most common representation in evolutionary computation are bit strings. This is ideal to model binary decision variables, but less useful for variables taking more values. With very little theoretical work existing on how to use…

神经与进化计算 · 计算机科学 2016-04-13 Benjamin Doerr , Carola Doerr , Timo Kötzing

Computer modelling for evolutionary systems consists in: 1) to store in the memory the individual features of each member of a large population; and 2) to update the whole system repeatedly, as time goes by, according to some prescribed…

统计力学 · 物理学 2007-05-23 Paulo Murilo Castro de Oliveira

We study a family of selection-mutation models of a sexual population structured by a phenotypical trait. The main feature of these models is the asymmetric trait heredity or fecundity between the parents : we assume that each individual…

偏微分方程分析 · 数学 2022-04-11 Benoît Perthame , Martin Strugarek , Cécile Taing

The concept of random deaths in a computational model for population dynamics is critically examined. We claim that it is just an artifact, albeit useful, of computational models to limit the size of the populations and has no biological…

统计力学 · 物理学 2007-05-23 J. S. Sa' Martins , S. Cebrat

Generation and prediction of time series is analyzed for the case of a Bit-Generator: a perceptron where in each time step the input units are shifted one bit to the right with the state of the leftmost input unit set equal to the output…

凝聚态物理 · 物理学 2016-08-31 E. Eisenstein , I. Kanter , D. A. Kessler , W. Kinzel

Using a bit-string model of evolution, we find a successful route to diploidy and sex in simple organisms. Allowing the sexually reproducing diploid individuals to also perform mitosis, as they do in a haploid-diploid cycle, leads to the…

软凝聚态物质 · 物理学 2007-05-23 Erkan Tuzel , Volkan Sevim , Ayse Erzan

A simple analytical framework to study the molecular quasispecies evolution of finite populations is proposed, in which the population is assumed to be a random combination of the constiyuent molecules in each generation,i.e., linkage…

统计力学 · 物理学 2016-08-31 Domingos Alves , J. F. Fontanari

We consider the evolution of populations under the joint action of mutation and differential reproduction, or selection. The population is modelled as a finite-type Markov branching process in continuous time, and the associated…

种群与进化 · 定量生物学 2009-02-23 Ellen Baake , Hans-Otto Georgii

This paper is devoted to the long-term dynamics of solutions to the Gurtin-MacCamy population model with a bistable birth function. We consider a one-parameter monotone family of initial distributions for the population such that for small…

偏微分方程分析 · 数学 2026-02-09 Quentin Griette , Franco Herrera

Variation in a sample of molecular sequence data informs about the past evolutionary history of the sample's population. Traditionally, Bayesian modeling coupled with the standard coalescent, is used to infer the sample's bifurcating…

应用统计 · 统计学 2024-10-22 Julie Zhang , Julia A. Palacios

The machine learning community has recently put effort into quantized or low-precision arithmetics to scale large models. This paper proposes performing probabilistic inference in the quantized, discrete parameter space created by these…

机器学习 · 计算机科学 2025-08-20 Aleksanteri Sladek , Martin Trapp , Arno Solin