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Evolutionary game theory is a successful mathematical framework geared towards understanding the selective pressures that affect the evolution of the strategies of agents engaged in interactions with potential conflicts. While a…

Populations and Evolution · Quantitative Biology 2016-09-01 Christoph Adami , Jory Schossau , Arend Hintze

Evolutionary game dynamics is one of the most fruitful frameworks for studying evolution in different disciplines, from Biology to Economics. Within this context, the approach of choice for many researchers is the so-called replicator…

Populations and Evolution · Quantitative Biology 2009-11-14 Carlos P. Roca , José A. Cuesta , Angel Sánchez

We introduce a new parameter to discuss the behavior of a genetic algorithm. This parameter is the mean number of exact copies of the best fit chromosomes from one generation to the next. We argue that the genetic algorithm should operate…

Neural and Evolutionary Computing · Computer Science 2015-12-04 Raphaël Cerf

Animal behavior and evolution can often be described by game-theoretic models. Although in many situations, the number of players is very large, their strategic interactions are usually decomposed into a sum of two-player games. Only…

Populations and Evolution · Quantitative Biology 2007-05-23 Dominik Kaminski , Jacek Miekisz , Marcin Zaborowski

Evolutionary dynamics can be studied in well-mixed or structured populations. Population structure typically arises from the heterogeneous distribution of individuals in physical space or on social networks. Here we introduce a new type of…

Populations and Evolution · Quantitative Biology 2009-06-04 Tibor Antal , Hisashi Ohtsuki , John Wakeley , Peter D. Taylor , Martin A. Nowak

Information theoretic analysis of large evolved programs produced by running genetic programming for up to a million generations has shown even functions as smooth and well behaved as floating point addition and multiplication loose entropy…

Neural and Evolutionary Computing · Computer Science 2021-12-03 W. B. Langdon

While working on a software specification, designers usually need to evaluate different architectural alternatives to be sure that quality criteria are met. Even when these quality aspects could be expressed in terms of multiple software…

Software Engineering · Computer Science 2024-01-10 Aurora Ramírez , José Raúl Romero , Sebastián Ventura

We study a class of evolution models, where the breeding process involves an arbitrary exchangeable process, allowing for mutations to appear. The population size $n$ is fixed, hence after breeding, selection is applied. Individuals are…

Probability · Mathematics 2022-05-03 Daniela Bertacchi , Juri Lember , Fabio Zucca

Evolutionary algorithms have recently been used to create a wide range of artistic work. In this paper, we propose a new approach for the composition of new images from existing ones, that retain some salient features of the original…

Neural and Evolutionary Computing · Computer Science 2017-03-13 Aneta Neumann , Zygmunt L. Szpak , Wojciech Chojnacki , Frank Neumann

Evolutionary algorithms (EAs) form a popular optimisation paradigm inspired by natural evolution. In recent years the field of evolutionary computation has developed a rigorous analytical theory to analyse their runtime on many illustrative…

Neural and Evolutionary Computing · Computer Science 2015-10-02 Tiago Paixão , Jorge Pérez Heredia , Dirk Sudholt , Barbora Trubenová

Robust iterative methods for solving large sparse systems of linear algebraic equations often suffer from the problem of optimizing the corresponding tuning parameters. To improve the performance of the problem of interest, specific…

Numerical Analysis · Mathematics 2023-10-18 Andrey Petrushov , Boris Krasnopolsky

Exposing an Evolutionary Algorithm that is used to evolve robot controllers to variable conditions is necessary to obtain solutions which are robust and can cross the reality gap. However, we do not yet have methods for analyzing and…

Neural and Evolutionary Computing · Computer Science 2023-10-13 Jonata Tyska Carvalho , Stefano Nolfi

Design of experiments, random search, initialization of population-based methods, or sampling inside an epoch of an evolutionary algorithm use a sample drawn according to some probability distribution for approximating the location of an…

Neural and Evolutionary Computing · Computer Science 2020-04-27 Laurent Meunier , Carola Doerr , Jeremy Rapin , Olivier Teytaud

As Evolutionary Dynamics moves from the realm of theory into application, algorithms are needed to move beyond simple models. Yet few such methods exist in the literature. Ecological and physiological factors are known to be central to…

Populations and Evolution · Quantitative Biology 2025-05-20 Bryce Allen Bagley , Navin Khoshnan , Claudia K Petritsch

The spectrum of masses from a lattice QCD simulation may be found by fitting exponential functions to correlators of operators possessing the quantum numbers of the particles of interest. The ability of evolutionary algorithms to find…

High Energy Physics - Lattice · Physics 2008-11-26 Georg M. von Hippel , Randy Lewis , Robert G. Petry

Many socio-economic and biological processes can be modeled as systems of interacting individuals. The behaviour of such systems can be often described within game-theoretic models. In these lecture notes, we introduce fundamental concepts…

Populations and Evolution · Quantitative Biology 2013-05-30 Jacek Miekisz

This work uses genetic programming to explore the space of continuous optimisers, with the goal of discovering novel ways of doing optimisation. In order to keep the search space broad, the optimisers are evolved from scratch using Push, a…

Neural and Evolutionary Computing · Computer Science 2021-11-16 Michael A. Lones

This manuscript contains an outline of lectures course "Evolutionary Algorithms" read by the author. The course covers Canonic Genetic Algorithm and various other genetic algorithms as well as evolutionary strategies, genetic programming,…

Neural and Evolutionary Computing · Computer Science 2022-03-31 Anton V. Eremeev

A key challenge to make effective use of evolutionary algorithms is to choose appropriate settings for their parameters. However, the appropriate parameter setting generally depends on the structure of the optimisation problem, which is…

Neural and Evolutionary Computing · Computer Science 2020-04-02 Brendan Case , Per Kristian Lehre

Estimating and quantifying uncertainty in unknown system parameters from limited data remains a challenging inverse problem in a variety of real-world applications. While many approaches focus on estimating constant parameters, a subset of…

Methodology · Statistics 2023-05-09 Andrea Arnold