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Population structure can be modelled by evolutionary graphs, which can have a substantial, but very subtle influence on the fate of the arising mutants. Individuals are located on the nodes of these graphs, competing with each other to…

Populations and Evolution · Quantitative Biology 2018-10-31 Marius Möller , Laura Hindersin , Arne Traulsen

Mechanisms leading to speciation are a major focus in evolutionary biology. In this paper, we present and study a stochastic model of population where individuals, with type a or A, are equivalent from ecological, demographical and spatial…

Populations and Evolution · Quantitative Biology 2017-04-20 Camille Coron , Manon Costa , Hélène Leman , Charline Smadi

We propose a variation of the standard genetic algorithm that incorporates social interaction between the individuals in the population. Our goal is to understand the evolutionary role of social systems and its possible application as a…

Neural and Evolutionary Computing · Computer Science 2010-07-05 Rafeal Lahoz-Beltra , Gabriela Ochoa , Uwe Aickelin

The computational modeling of genetic regulatory networks is now common place, either by fitting a system to experimental data or by exploring the behaviour of abstract systems with the aim of identifying underlying principles. This paper…

Computational Engineering, Finance, and Science · Computer Science 2013-10-22 Larry Bull

The genetic code has been shown to be very error robust compared to randomly selected codes, but to be significantly less error robust than a certain code found by a heuristic algorithm. We formulate this optimisation problem as a Quadratic…

Quantitative Methods · Quantitative Biology 2015-03-13 Harry Buhrman , Peter T. S. van der Gulik , Steven M. Kelk , Wouter M. Koolen , Leen Stougie

We construct a pathwise formulation of a growing population of cells, based on two different samplings of lineages within the population, namely the forward and backward samplings. We show that a general symmetry relation, called…

Populations and Evolution · Quantitative Biology 2021-11-03 Arthur Genthon , David Lacoste

A general multi-type population model is considered, where individuals live and reproduce according to their age and type, but also under the influence of the size and composition of the entire population. We describe the dynamics of the…

Probability · Mathematics 2019-03-13 Jie Yen Fan , Kais Hamza , Peter Jagers , Fima C. Klebaner

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

In ecology and population dynamics, gene-flow refers to the transfer of a trait from one population to another. This phenomenon appears in studying the evolution of social features, such as languages. From the mathematical point of view,…

Optimization and Control · Mathematics 2021-10-22 Idriss Mazari , Domenec Ruiz-Balet , Enrique Zuazua

What is a population? This review considers how a population may be defined in terms of understanding the structure of the underlying genetics of the individuals involved. The main approach is to consider statistically identifiable groups…

Populations and Evolution · Quantitative Biology 2013-06-05 Daniel John Lawson

Genetic programming has undergone rapid development in recent years. However, theoretical studies of genetic programming are far behind. One of the major obstacles to theoretical studies is the challenge of developing a model to describe…

Neural and Evolutionary Computing · Computer Science 2025-05-29 Zhixing Huang , Yi Mei , Fangfang Zhang , Mengjie Zhang , Wolfgang Banzhaf

Symbolic regression that aims to detect underlying data-driven models has become increasingly important for industrial data analysis. For most existing algorithms such as genetic programming (GP), the convergence speed might be too slow for…

Neural and Evolutionary Computing · Computer Science 2017-10-31 Chen Chen , Changtong Luo , Zonglin Jiang

One of the problems in applying Genetic Algorithm is that there is some situation where the evolutionary process converges too fast to a solution which causes it to be trapped in local optima. To overcome this problem, a proper diversity in…

Neural and Evolutionary Computing · Computer Science 2011-09-02 Chaiwat Jassadapakorn , Prabhas Chongstitvatana

We demonstrate how a genetic algorithm solves the problem of minimizing the resources used for network coding, subject to a throughput constraint, in a multicast scenario. A genetic algorithm avoids the computational complexity that makes…

Neural and Evolutionary Computing · Computer Science 2007-05-23 Minkyu Kim , Varun Aggarwal , Una-May O'Reilly , Muriel Medard , Wonsik Kim

In this study, we use Genetic Programming (GP) to compose new optimization benchmark functions. Optimization benchmarks have the important role of showing the differences between evolutionary algorithms, making it possible for further…

Neural and Evolutionary Computing · Computer Science 2024-03-22 Yifan He , Claus Aranha

We investigate a family of $(\mu+\lambda)$ Genetic Algorithms (GAs) which creates offspring either from mutation or by recombining two randomly chosen parents. By scaling the crossover probability, we can thus interpolate from a fully…

Neural and Evolutionary Computing · Computer Science 2021-02-16 Furong Ye , Hao Wang , Carola Doerr , Thomas Bäck

Symbolic regression (SR) with genetic programming (GP) aims to discover interpretable mathematical expressions directly from data. Despite its strong empirical success, the theoretical understanding of why GP-based SR generalizes beyond the…

Machine Learning · Computer Science 2026-04-21 Masahiro Nomura , Ryoki Hamano , Isao Ono

A major aim of evolutionary biology is to explain the respective roles of adaptive versus non-adaptive changes in the evolution of complexity. While selection is certainly responsible for the spread and maintenance of complex phenotypes,…

Populations and Evolution · Quantitative Biology 2017-01-17 Thomas LaBar , Christoph Adami

This paper presents two different efficiency-enhancement techniques for probabilistic model building genetic algorithms. The first technique proposes the use of a mutation operator which performs local search in the sub-solution…

Neural and Evolutionary Computing · Computer Science 2007-05-23 Kumara Sastry , David E. Goldberg , Martin Pelikan

This paper combines the idea of a hierarchical distributed genetic algorithm with different inter-agent partnering strategies. Cascading clusters of sub-populations are built from bottom up, with higher-level sub-populations optimising…

Neural and Evolutionary Computing · Computer Science 2010-07-05 Uwe Aickelin
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