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Compatibility of unrooted phylogenetic trees is a well studied problem in phylogenetics. It asks to determine whether for a set of k input trees there exists a larger tree (called a supertree) that contains the topologies of all k input…

Discrete Mathematics · Computer Science 2014-03-03 Alexander Grigoriev , Steven Kelk , Nela Lekic

In phylogenetics, phylogenetic trees are rooted binary trees, whereas phylogenetic networks are rooted arbitrary acyclic digraphs. Edges are directed away from the root and leaves are uniquely labeled with taxa in phylogenetic networks. For…

Populations and Evolution · Quantitative Biology 2016-03-30 Andreas DM Gunawan , Bhaskar DasGupta , Louxin Zhang

Population diversity plays a key role in evolutionary algorithms that enables global exploration and avoids premature convergence. This is especially more crucial in dynamic optimization in which diversity can ensure that the population…

Neural and Evolutionary Computing · Computer Science 2019-10-15 Maryam Hasani-Shoreh , Frank Neumann

The marginal likelihood of a model is a key quantity for assessing the evidence provided by the data in support of a model. The marginal likelihood is the normalizing constant for the posterior density, obtained by integrating the product…

Populations and Evolution · Quantitative Biology 2018-11-30 Mathieu Fourment , Andrew F. Magee , Chris Whidden , Arman Bilge , Frederick A. Matsen , Vladimir N. Minin

When modeling an application of practical relevance as an instance of a combinatorial problem X, we are often interested not merely in finding one optimal solution for that instance, but in finding a sufficiently diverse collection of good…

Data Structures and Algorithms · Computer Science 2026-02-19 Julien Baste , Michael R. Fellows , Lars Jaffke , Tomáš Masařík , Mateus de Oliveira Oliveira , Geevarghese Philip , Frances A. Rosamond

In molecular phylogeny, relationships among organisms are reconstructed using DNA or protein sequences and are displayed as trees. A linear increase in the number of sequences results in an exponential increase of possible trees. Thus,…

Genomics · Quantitative Biology 2007-05-23 Kerstin Hoef-Emden

The binary perfect phylogeny model is too restrictive to model biological events such as back mutations. In this paper we consider a natural generalization of the model that allows a special type of back mutation. We investigate the problem…

Data Structures and Algorithms · Computer Science 2012-06-29 Paola Bonizzoni , Chiara Braghin , Riccardo Dondi , Gabriella Trucco

A multilabeled tree (or MUL-tree) is a rooted tree in which every leaf is labelled by an element from some set, but in which more than one leaf may be labelled by the same element of that set. In phylogenetics, such trees are used in…

Populations and Evolution · Quantitative Biology 2018-03-16 Manuel Lafond , Nadia El-Mabrouk , Katharina T. Huber , Vincent Moulton

Construction of phylogenetic trees has traditionally focused on binary trees where all species appear on leaves, a problem for which numerous efficient solutions have been developed. Certain application domains though, such as viral…

Data Structures and Algorithms · Computer Science 2016-11-01 Dimitris Papamichail , Angela Huang , Andrew Miller , Edward Kennedy , Jan-Lucas Ott , Georgios Papamichail

The phylogenetic tree construction is to infer the evolutionary relationship between species from the experimental data. However, the experimental data are often imperfect and conflicting each others. Therefore, it is important to extract…

Artificial Intelligence · Computer Science 2007-05-23 Andy Auyeung , Ajith Abraham

Entropy, under a variety of names, has long been used as a measure of diversity in ecology, as well as in genetics, economics and other fields. There is a spectrum of viewpoints on diversity, indexed by a real parameter q giving greater or…

Information Theory · Computer Science 2017-09-05 Tom Leinster , Mark W. Meckes

Understanding the dynamics of genome rearrangements is a major issue of phylogenetics. Phylogenetics is the study of species evolution. A major goal of the field is to establish evolutionary relationships within groups of species, in order…

Data Structures and Algorithms · Computer Science 2014-10-22 Antoine Thomas

Explaining biodiversity is a central focus in theoretical ecology. A significant obstacle arises from the Competitive Exclusion Principle (CEP), which states that two species competing for the same type of resources cannot coexist at…

Populations and Evolution · Quantitative Biology 2025-06-18 Ju Kang , Yiyuan Niu , Xin Wang

Stochastic modeling of phylogenies raises five questions that have received varying levels of attention from quantitatively inclined biologists. 1) How large do we expect (from the model) the ration of maximum historical diversity to…

Populations and Evolution · Quantitative Biology 2013-02-07 Lea Popovic , Maxim Krikun , David Aldous

A phylogeny describes the evolutionary history of an evolving population. Evolutionary search algorithms can perfectly track the ancestry of candidate solutions, illuminating a population's trajectory through the search space. However,…

Neural and Evolutionary Computing · Computer Science 2024-02-05 Alexander Lalejini , Marcos Sanson , Jack Garbus , Matthew Andres Moreno , Emily Dolson

Phylogenetic reconciliation seeks to explain host-symbiont co-evolution by mapping parasite trees onto host trees through events such as cospeciation, duplication, host switching, and loss. Finding an optimal reconciliation that ensures…

Populations and Evolution · Quantitative Biology 2026-02-02 Cyriac Antony , Alessio Martino , Blerina Sinaimeri

Phylogenetic trees are leaf-labelled trees, where the leaves correspond to extant species (taxa), and the internal vertices represent ancestral species. The evolutionary history of a set of species can be explained by more than one…

Data Structures and Algorithms · Computer Science 2016-09-07 Asish Mukhopadhyay , Puspal Bhabak

Abundance estimates from animal point-count surveys require accurate estimates of detection probabilities. The standard model for estimating detection from removal-sampled point-count surveys assumes that organisms at a survey site are…

Populations and Evolution · Quantitative Biology 2019-04-09 Adam Martin-Schwarze , Jarad Niemi , Philip Dixon

Phylogenetic analyses of gene expression have great potential for addressing a wide range of questions. These analyses will, for example, identify genes that have evolutionary shifts in expression that are correlated with evolutionary…

Populations and Evolution · Quantitative Biology 2014-01-14 Casey W. Dunn , Xi Luo , Zhijin Wu

Several mating restriction techniques have been implemented in Evolutionary Algorithms to promote diversity. From similarity-based selection to niche preservation, the general goal is to avoid premature convergence by not having fitness…

Neural and Evolutionary Computing · Computer Science 2025-04-09 José Maria Simões , Nuno Lourenço , Penousal Machado
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