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The mutation process in evolution strategies has been interlinked with the normal distribution since its inception. Many lines of reasoning have been given for this strong dependency, ranging from maximum entropy arguments to the need for…

Neural and Evolutionary Computing · Computer Science 2025-04-11 Jacob de Nobel , Diederick Vermetten , Hao Wang , Anna V. Kononova , Günter Rudolph , Thomas Bäck

Compressing convolutional neural networks (CNNs) is essential for transferring the success of CNNs to a wide variety of applications to mobile devices. In contrast to directly recognizing subtle weights or filters as redundant in a given…

Machine Learning · Statistics 2017-07-26 Yunhe Wang , Chang Xu , Jiayan Qiu , Chao Xu , Dacheng Tao

Xenopus tropicalis is an anuran amphibian species used as model in vertebrate comparative genomics. It provides the same advantages as Xenopus laevis but is diploid and has a smaller genome of 1.7 Gbp. Therefore X. tropicalis is more…

Natural selection has produced an extraordinary diversity of life histories spanning many orders of magnitude in body size, vital rates, and biological times. In general, big and cold organisms grow and reproduce slowly and live long lives;…

Populations and Evolution · Quantitative Biology 2024-12-30 Joseph R. Burger

Genetic regulation is a key component in development, but a clear understanding of the structure and dynamics of genetic networks is not yet at hand. In this paper we investigate these properties within an artificial genome model originally…

Molecular Networks · Quantitative Biology 2009-08-26 Thimo Rohlf , Christopher R. Winkler

In this study we are concerned with the general problem of choosing from a set of endangered species T a subset S of k species to protect as a priority. Here, the interest to protect the species of S is assessed by the resulting expected…

Optimization and Control · Mathematics 2022-03-24 Alain Billionnet

We consider a biological population in which a beneficial mutation is undergoing a selective sweep when a second beneficial mutation arises at a linked locus and we investigate the probability that both mutations will eventually fix in the…

Probability · Mathematics 2008-12-02 Feng Yu , Alison Etheridge , Charles Cuthbertson

The Tangled Nature Model of biological and cultural evolution features interacting agents which compete for limited resources and reproduce in an error prone fashion and at a rate depending on the `tangle' of interactions they maintain with…

Populations and Evolution · Quantitative Biology 2016-05-25 Christian Walther Andersen , Paolo Sibani

The theory of evolution states that the diversity of species can be explained by descent with modification. Therefore, all living beings are related through a common ancestor. This evolutionary process must have left traces in our molecular…

Quantitative Methods · Quantitative Biology 2018-08-09 Patricio Maturana Russel

We study fixation in large, but finite, populations with two types, and dynamics governed by birth-death processes. By considering a restricted class of such processes, we derive a continuous approximation for the probability of fixation…

Populations and Evolution · Quantitative Biology 2016-02-02 Fabio A. C. C. Chalub , Max O. Souza

Shannon information has, in the past, been applied to quantify the genetic diversity of many natural populations. Here, we apply the Shannon concept to consecutive generations of alleles as they evolve over time. We suppose a genetic system…

Populations and Evolution · Quantitative Biology 2015-12-17 J. S. Glasenapp , B. R. Frieden , C. D. Cruz

We study a universal object for the genealogy of a sample in populations with mutations: the critical birth-death process with Poissonian mutations, conditioned on its population size at a fixed time horizon. We show how this process arises…

Probability · Mathematics 2014-07-30 G. Achaz , C. Delaporte , A. Lambert

In this paper, we study the asymptotic (large time) behavior of a selection-mutation-competition model for a population structured with respect to a phenotypic trait, when the rate of mutation is very small. We assume that the reproduction…

Analysis of PDEs · Mathematics 2015-11-17 Àngel Calsina , Sílvia Cuadrado , Laurent Desvillettes , Gaël Raoul

The concept of neutral evolutionary networks being a significant factor in evolutionary dynamics was first proposed by Huynen {\em et al.} about 7 years ago. In one sense, the principle is easy to state -- because most mutations to an…

Adaptation and Self-Organizing Systems · Physics 2009-11-19 Russell K. Standish

We investigate the evolution of Boolean networks subject to a selective pressure which favors robustness against noise, as a model of evolved genetic regulatory systems. By mapping the evolutionary process into a statistical ensemble and…

Disordered Systems and Neural Networks · Physics 2012-04-11 Tiago P. Peixoto

The evolution of the adaptive immune system is characterized by changes in the relative abundances of the B- and T-cell clones that make up its repertoires. To fully capture this evolution, we need to describe the complex dynamics of the…

Populations and Evolution · Quantitative Biology 2017-03-02 Jonathan Desponds , Andreas Mayer , Thierry Mora , Aleksandra M. Walczak

The n-person Prisoner's Dilemma is a widely used model for populations where individuals interact in groups. The evolutionary stability of populations has been analysed in the literature for the case where mutations in the population may be…

Populations and Evolution · Quantitative Biology 2007-05-23 Anders Eriksson , Kristian Lindgren

Pervasive natural selection can strongly influence observed patterns of genetic variation, but these effects remain poorly understood when multiple selected variants segregate in nearby regions of the genome. Classical population genetics…

Populations and Evolution · Quantitative Biology 2013-06-06 Benjamin H. Good , Aleksandra M. Walczak , Richard A. Neher , Michael M. Desai

An important question in genome evolution is whether there exist fragile regions (rearrangement hotspots) where chromosomal rearrangements are happening over and over again. Although nearly all recent studies supported the existence of…

Genomics · Quantitative Biology 2010-11-02 Max A. Alekseyev , Pavel A. Pevzner

Chromosomal rearrangements, which shuffle DNA throughout the genome, are an important source of divergence across taxa. Using a paired-end read approach with Illumina sequence data for archaic humans, I identify changes in genome structure…

Genomics · Quantitative Biology 2015-10-07 Rebekah L. Rogers
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