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A phylogenetic network is a directed acyclic graph that visualises an evolutionary history containing so-called reticulations such as recombinations, hybridisations or lateral gene transfers. Here we consider the construction of a simplest…

Populations and Evolution · Quantitative Biology 2008-05-16 Leo van Iersel , Steven Kelk

The deterministic selection-recombination equation describes the evolution of the genetic type composition of a population under selection and recombination in a law of large numbers regime. So far, an explicit solution has seemed out of…

Probability · Mathematics 2023-04-26 Ellen Baake , Frederic Alberti

This paper describes a methodology for analyzing the evolutionary dynamics of genetic programming (GP) using genealogical information, diversity measures and information about the fitness variation from parent to offspring. We introduce a…

Machine Learning · Computer Science 2021-08-25 Bogdan Burlacu , Michael Affenzeller , Michael Kommenda

An evolutionary tree (phylogenetic tree) is a binary, rooted, unordered tree that models the evolutionary history of currently living species in which leaves are labeled by species. In this paper, we investigate the problem of finding the…

Populations and Evolution · Quantitative Biology 2013-04-02 Soheil Jahangiri Tazehkand , Seyed Naser Hashemi , Hadi Poormohammadi

A method based on mapping a symbolic sequence into a set of patterns (strings resulting from the sequence parsing) is proposed as a tool for the reconstruction of ancestral sequences. The set union of patterns comprises all the patterns…

Genomics · Quantitative Biology 2015-04-16 Bohdan Kozarzewski

Phylogenetics begins with reconstructing biological family trees from genetic data. Since Nature is not limited to tree-like histories, we use networks to organize our data, and have discovered new polytopes, metric spaces, and simplicial…

Combinatorics · Mathematics 2019-05-28 Satyan Devadoss , Cassandra Durell , Stefan Forcey

Reticulate evolutionary processes result in phylogenetic histories that cannot be modeled using a tree topology. Here, we apply methods from topological data analysis to molecular sequence data with reticulations. Using a simple example, we…

Quantitative Methods · Quantitative Biology 2015-11-05 Kevin Emmett , Raul Rabadan

The compact Genetic Algorithm (cGA) is an Estimation of Distribution Algorithm that generates offspring population according to the estimated probabilistic model of the parent population instead of using traditional recombination and…

Neural and Evolutionary Computing · Computer Science 2009-01-07 Reza Rastegar , Arash Hariri

In phylogenetic studies, the evolution of molecular sequences is assumed to have taken place along the phylogeny traced by the ancestors of extant species. In the presence of lateral gene transfer (LGT), however, this may not be the case,…

Populations and Evolution · Quantitative Biology 2013-07-01 Gergely J Szöllösi , Eric Tannier , Nicolas Lartillot , Vincent Daubin

Optimizing scientific computing algorithms for modern GPUs is a labor-intensive and iterative process involving repeated code modification, benchmarking, and tuning across complex hardware and software stacks. Recent work has explored large…

Artificial Intelligence · Computer Science 2026-01-22 Leyi Zhao , Weijie Huang , Yitong Guo , Jiang Bian , Chenghong Wang , Xuhong Zhang

We present an algorithm for phylogenetic reconstruction using quartets that returns the correct topology for $n$ taxa in $O(n \log n)$ time with high probability, in a probabilistic model where a quartet is not consistent with the true…

Populations and Evolution · Quantitative Biology 2010-10-12 Daniel G. Brown , Jakub Truszkowski

Phylogenetic stochastic mapping is a method for reconstructing the history of trait changes on a phylogenetic tree relating species/organisms carrying the trait. State-of-the-art methods assume that the trait evolves according to a…

Computation · Statistics 2014-03-21 Jan Irvahn , Vladimir N. Minin

The Multiple Sequence Alignment (MSA) is a computational abstraction that represents a partial summary either of indel history, or of structural similarity. Taking the former view (indel history), it is possible to use formal automata…

Populations and Evolution · Quantitative Biology 2015-06-04 Oscar Westesson , Gerton Lunter , Benedict Paten , Ian Holmes

We consider the Wright-Fisher model for a population of $N$ individuals, each identified with a sequence of a finite number of sites, and single-crossover recombination between them. We trace back the ancestry of single individuals from the…

Probability · Mathematics 2014-04-24 Ellen Baake , Ute von Wangenheim

Predicting the cheapest sample size for the optimal stratification in multivariate survey design is a problem in cases where the population frame is large. A solution exists that iteratively searches for the minimum sample size necessary to…

Methodology · Statistics 2018-06-18 Mervyn O'Luing , Steven Prestwich , S. Armagan Tarim

A phylogenetic tree shows the evolutionary relationships among species. Internal nodes of the tree represent speciation events and leaf nodes correspond to species. A goal of phylogenetics is to combine such trees into larger trees, called…

Artificial Intelligence · Computer Science 2014-01-16 Neil C. A. Moore , Patrick Prosser

Genome rearrangements are events where large blocks of DNA exchange places during evolution. The analysis of these events is a promising tool for understanding evolutionary genomics, providing data for phylogenetic reconstruction based on…

Computational Complexity · Computer Science 2023-11-30 Luís Cunha , Ignasi Sau , Uéverton Souza

The automatic generation of computer programs is one of the main applications with practical relevance in the field of evolutionary computation. With program synthesis techniques not only software developers could be supported in their…

Neural and Evolutionary Computing · Computer Science 2021-08-30 Dominik Sobania , Dirk Schweim , Franz Rothlauf

We consider the following problem: from a given set of gene families trees on a set of genomes, find a first speciation, that splits these genomes into two subsets, that minimizes the number of gene duplications that happened before this…

Discrete Mathematics · Computer Science 2009-04-15 Cedric Chauve , Aïda Ouangraoua

Genetic fitness optimization using small populations or small population updates across generations generally suffers from randomly diverging evolutions. We propose a notion of highly probable fitness optimization through feasible…

Neural and Evolutionary Computing · Computer Science 2007-05-23 Paul Vitanyi
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