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Dynamic optimisation occurs in a variety of real-world problems. To tackle these problems, evolutionary algorithms have been extensively used due to their effectiveness and minimum design effort. However, for dynamic problems, extra…

Neural and Evolutionary Computing · Computer Science 2020-08-11 Maryam Hasani Shoreh , Renato Hermoza Aragonés , Frank Neumann

Death has long been overlooked in evolutionary algorithms. Recent research has shown that death (when applied properly) can benefit the overall fitness of a population and can outperform sub-sections of a population that are "immortal" when…

Neural and Evolutionary Computing · Computer Science 2021-09-29 Micah Burkhardt , Roman V. Yampolskiy

In this paper we investigate error-thresholds on dynamics fitness-landscapes. We show that there exists both lower and an upper threshold, representing limits to the copying fidelity of simple replicators. The lower bound can be expressed…

Biological Physics · Physics 2009-10-31 Martin Nilsson , Nigel Snoad

The surface code, one of the leading candidates for quantum error correction, is known to protect encoded quantum information against stochastic, i.e., incoherent errors. The protection against coherent errors, such as from unwanted gate…

Quantum Physics · Physics 2025-10-28 Jan Behrends , Benjamin Béri

We propose a new definition for the error threshold of a population evolving through mutation and selection. We compute the correction term due to the finiteness of the population by estimating the lifetime of master sequences. Our…

Probability · Mathematics 2019-09-24 Maxime Berger

A simple model of language evolution, proposed in \cite{K_N}, is characterized by a pay-off in communicative function, and by an error in learning, that measures the accuracy in language acquisition. In the mean field approximation, this…

Physics and Society · Physics 2007-12-28 J M Tavares , M M Telo da Gama , A Nunes

The recent interest in human dynamics has led researchers to investigate the stochastic processes that explain human behaviour in different contexts. Here we propose a generative model to capture the essential dynamics of survival analysis,…

Physics and Society · Physics 2015-06-18 Trevor Fenner , Mark Levene , George Loizou

In order to analyze data from cancer genome sequencing projects, we need to be able to distinguish causative, or "driver," mutations from "passenger" mutations that have no selective effect. Toward this end, we prove results concerning the…

Populations and Evolution · Quantitative Biology 2013-02-13 Rick Durrett

In subdivided populations, migration acts together with selection and genetic drift and determines their evolution. Building up on a recently proposed method, which hinges on the emergence of a time scale separation between local and global…

Populations and Evolution · Quantitative Biology 2015-03-24 Pierangelo Lombardo , Andrea Gambassi , Luca Dall'Asta

We consider a simple setting in neuroevolution where an evolutionary algorithm optimizes the weights and activation functions of a simple artificial neural network. We then define simple example functions to be learned by the network and…

Neural and Evolutionary Computing · Computer Science 2023-10-17 Paul Fischer , Emil Lundt Larsen , Carsten Witt

The Turing Machine has two implicit properties that depend on its underlying notion of computing: the format is fully determinate and computations are information preserving. Distributed representations lack these properties and cannot be…

Artificial Intelligence · Computer Science 2018-03-29 Luis A. Pineda

Temporal evolution of a clonal bacterial population is modelled taking into account reversible mutation and selection mechanisms. For the mutation model, an efficient algorithm is proposed to verify whether experimental data can be…

Populations and Evolution · Quantitative Biology 2019-04-03 C. D. Bayliss , C. Fallaize , R. Howitt , M. V. Tretyakov

We explore the relationship between Turing completeness and topological entropy of dynamical systems. We first prove that a natural class of Turing machines that we call "branching Turing machines" (which includes most of the known examples…

Dynamical Systems · Mathematics 2026-04-10 Renzo Bruera , Robert Cardona , Eva Miranda , Daniel Peralta-Salas , Ville Salo

Evolutionary clustering aims at capturing the temporal evolution of clusters. This issue is particularly important in the context of social media data that are naturally temporally driven. In this paper, we propose a new probabilistic…

Information Retrieval · Computer Science 2016-01-12 Young-Min Kim , Julien Velcin , Stéphane Bonnevay , Marian-Andrei Rizoiu

We investigate two representation alternatives for the controllers of teams of cyber agents. We combine these controller representations with different evolutionary algorithms, one of which introduces a novel LLM-supported mutation…

Neural and Evolutionary Computing · Computer Science 2025-07-09 Erik Hemberg , Eric Liu , Lucille Fuller , Stephen Moskal , Una-May O'Reilly

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

The number of fixed mutations accumulated in an evolving population often displays a variance that is significantly larger than the mean (the overdispersed molecular clock). By examining a generic evolutionary process on a neutral network…

Populations and Evolution · Quantitative Biology 2009-11-13 Alpan Raval

To explain the differentiation of stem cells in terms of dynamical systems theory, models of interacting cells with intracellular protein expression dynamics are analyzed and simulated. Simulations were carried out for all possible protein…

Cell Behavior · Quantitative Biology 2015-06-15 Yusuke Goto , Kunihiko Kaneko

A dynamical theory for the evolution of the genetic code is presented, which accounts for its universality and optimality. The central concept is that a variety of collective, but non-Darwinian, mechanisms likely to be present in early…

Populations and Evolution · Quantitative Biology 2009-11-13 Kalin Vetsigian , Carl Woese , Nigel Goldenfeld

The evolution of cooperation often depends upon population structure, yet nearly all models of cooperation implicitly assume that this structure remains static. This is a simplifying assumption, because most organisms possess genetic traits…

Populations and Evolution · Quantitative Biology 2012-08-03 Simon T. Powers , Alexandra S. Penn , Richard A. Watson