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We study the stochastic evolution of four species in cyclic competition in a well mixed environment. In systems composed of a finite number $N$ of particles these simple interaction rules result in a rich variety of extinction scenarios,…

Statistical Mechanics · Physics 2012-07-09 C. H. Durney , S. O. Case , M. Pleimling , R. K. P. Zia

Finding the minimum distance of linear codes is an NP-hard problem. Traditionally, this computation has been addressed by means of the design of algorithms that find, by a clever exhaustive search, a linear combination of some generating…

Information Theory · Computer Science 2020-11-02 M. P. Cuéllar , J. Gómez-Torrecillas , F. J. Lobillo , G. Navarro

The Great Filter hypothesis proposes that the emergence of technological societies capable of interstellar travel depends on a small number of exceptionally hard and highly improbable steps. Traditional versions of this hypothesis enumerate…

A steady influx of a single deleterious multilocus genotype will impose genetic load on the resident population and leave multiple descendants carrying various numbers of the foreign alleles. Provided that the foreign types are rare at…

Populations and Evolution · Quantitative Biology 2015-06-16 Alexey Yanchukov , Stephen R. Proulx

While generic competitive systems exhibit mixtures of hierarchy and cycles, real-world systems are predominantly hierarchical. We demonstrate and extend a mechanism for hierarchy; systems with similar agents approach perfect hierarchy in…

Populations and Evolution · Quantitative Biology 2024-02-12 Christopher Cebra , Alexander Strang

Genomes in living organisms consist of the nucleotides adenine (A), guanine (G), cytosine (C) and thymine (T). All prokaryotes have genomes consisting of double-stranded DNA, where the A's and G's (purines) of one strand bind respectively…

Populations and Evolution · Quantitative Biology 2019-08-27 Jon Bohlin , Brittany Rose , Ola Brynildsrud , Birgitte Freiesleben De Blasio

A while ago, the ideas of evolutionary biology inspired computer scientists to develop a thriving nowadays field of evolutionary computation (EC), in general, and genetic algorithms (GA), in particular. At the same time, the directed…

Quantitative Methods · Quantitative Biology 2019-12-09 Alexander Spirov , Ekaterina Myasnikova

Genetic algorithms are modeled after the biological evolutionary processes that use natural selection to select the best species to survive. They are heuristics based and low cost to compute. Genetic algorithms use selection, crossover, and…

Neural and Evolutionary Computing · Computer Science 2020-05-28 Mee Seong Im , Venkat R. Dasari

Evolving genomes increase a number of their genes by gene duplications. To escape degradation in a functionless pseudogene, any gene duplicate needs to be guarded by negative (purifying) selection from otherwise inevitable fixation of…

Populations and Evolution · Quantitative Biology 2007-05-23 Dmitri Parkhomchuk , Sergei Rodin

We study the dynamics of genetic code evolution. The model of Vetsigian et al. [1] and Vetsigian [2] uses the mechanism of horizontal gene transfer to demonstrate convergence of the genetic code to a near universal solution. We reproduce…

Other Quantitative Biology · Quantitative Biology 2021-05-26 John-Antonio Argyriadis , Yang-Hui He , Vishnu Jejjala , Djordje Minic

Genetic Algorithms (GA) are a class of metaheuristic global optimization methods inspired by the process of natural selection among individuals in a population. Despite their widespread use, a comprehensive theoretical analysis of these…

Optimization and Control · Mathematics 2025-02-24 Giacomo Borghi , Lorenzo Pareschi

Optimal subset selection is an important task that has numerous algorithms designed for it and has many application areas. STPGA contains a special genetic algorithm supplemented with a tabu memory property (that keeps track of previously…

Methodology · Statistics 2017-02-28 Deniz Akdemir

This work proposes an extension to Structured Grammatical Evolution (SGE) called Co-evolutionary Probabilistic Structured Grammatical Evolution (Co-PSGE). In Co-PSGE each individual in the population is composed by a grammar and a genotype,…

Neural and Evolutionary Computing · Computer Science 2022-04-20 Jessica Mégane , Nuno Lourenço , Penousal Machado

A Genetic Algorithm (GA) is proposed in which each member of the population can change schemata only with its neighbors according to a rule. The rule methodology and the neighborhood structure employ elements from the Cellular Automata (CA)…

Neural and Evolutionary Computing · Computer Science 2007-11-16 Vasileios Barmpoutis , Gary F. Dargush

Achieving better exploitation and exploration capabilities (EEC) have always been an important yet challenging issue in the design of evolutionary optimization algorithm (EOA). The difficulties lie in obtaining a good balance in EEC, which…

Neural and Evolutionary Computing · Computer Science 2020-05-15 Sheng Xin Zhang , Wing Shing Chan , Zi Kang Peng , Shao Yong Zheng , Kit Sang Tang

It is widely accepted that population genetics theory is the cornerstone of evolutionary analyses. Empirical tests of the theory, however, are challenging because of the complex relationships between space, dispersal, and evolution.…

Populations and Evolution · Quantitative Biology 2011-10-26 Kirill S. Korolev , Joao B. Xavier , David R. Nelson , Kevin R. Foster

The compact genetic algorithm (cGA) is one of the simplest estimation-of-distribution algorithms (EDAs). Next to the univariate marginal distribution algorithm (UMDA) -- another simple EDA -- , the cGA has been subject to extensive…

Neural and Evolutionary Computing · Computer Science 2026-03-04 Marcel Chwiałkowski , Benjamin Doerr , Martin S. Krejca

We propose a stochastic model for evolution. Births and deaths of species occur with constant probabilities. Each new species is associated with a fitness sampled from the uniform distribution on [0,1]. Every time there is a death event…

Probability · Mathematics 2010-11-09 Herve Guiol , Fabio P. Machado , Rinaldo B. Schinazi

The evolution in coding DNA sequences brings new flexibility and freedom to the codon words, even as the underlying nucleotides get significantly ordered. These curious contra-rules of gene organisation are observed from the distribution of…

Biological Physics · Physics 2007-05-23 Sujay Chattopadhyay , William A. Kanner , Jayprokas Chakrabarti

Among the evolutionary methods, one that is quite prominent is Genetic Programming, and, in recent years, a variant called Geometric Semantic Genetic Programming (GSGP) has shown to be successfully applicable to many real-world problems.…

Neural and Evolutionary Computing · Computer Science 2022-05-06 Mauro Castelli , Luca Manzoni , Luca Mariot , Giuliamaria Menara , Gloria Pietropolli