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Motivation: Word-based or `alignment-free' methods for phylogeny reconstruction are much faster than traditional approaches, but they are generally less accurate. Most of these methods calculate pairwise distances for a set of input…

Populations and Evolution · Quantitative Biology 2018-05-01 Thomas Dencker , Chris-Andre Leimeister , Michael Gerth , Christoph Bleidorn , Sagi Snir , Burkhard Morgenstern

We consider the problem of inferring an ancestral state from observations at the leaves of a tree, assuming the state evolves along the tree according to a two-state symmetric Markov process. We establish a general branching rate condition…

Probability · Mathematics 2021-01-01 Sebastien Roch , Kun-Chieh Wang

The data preprocessing stage is crucial in clustering. Features may describe entities using different scales. To rectify this, one usually applies feature normalisation aiming at rescaling features so that none of them overpowers the others…

Machine Learning · Computer Science 2021-04-26 Renato Cordeiro de Amorim , Vladimir Makarenkov

Comparative analyses of phylogenetic trees typically require identical taxon sets, however, in practice, trees often include distinct but overlapping taxa. Pruning non-shared leaves discards phylogenetic signal, whereas tree completion can…

Populations and Evolution · Quantitative Biology 2026-04-28 Aleksandr Koshkarov , Nadia Tahiri

In this paper we review some recent results that shed light on a fundamental question in molecular systematics: how much phylogenetic `signal' can we expect from characters that have evolved under some Markov process? There are many sides…

Populations and Evolution · Quantitative Biology 2011-11-10 Elchanan Mossel , Mike Steel

Gene tree/species tree reconciliation is a recent decisive progress in phylo-genetic methods, accounting for the possible differences between gene histories and species histories. Reconciliation consists in explaining these differences by…

Quantitative Methods · Quantitative Biology 2017-10-05 Damir Hasic , Eric Tannier

Phylogenetic trees describe the evolutionary history of a group of present-day species from a common ancestor. These trees are typically reconstructed from aligned DNA sequence data. In this paper we analytically address the following…

Populations and Evolution · Quantitative Biology 2008-07-14 Mike Steel , Laszlo Szekely , Elchanan Mossel

In many applications of evolutionary algorithms the computational cost of applying operators and storing populations is comparable to the cost of fitness evaluation. Furthermore, by knowing what exactly has changed in an individual by an…

Neural and Evolutionary Computing · Computer Science 2023-06-30 Maxim Buzdalov

In many interesting cases the reconstruction of a correct phylogeny is blurred by high mutation rates and/or horizontal transfer events. As a consequence a divergence arises between the true evolutionary distances and the differences…

Populations and Evolution · Quantitative Biology 2010-02-08 F. Tria , E. Caglioti , V. Loreto , A. Pagnani

Phylogenetic networks extend phylogenetic trees to allow for modeling reticulate evolutionary processes such as hybridization. They take the shape of a rooted, directed, acyclic graph, and when parameterized with evolutionary parameters,…

Populations and Evolution · Quantitative Biology 2018-08-28 R. A. L. Elworth , H. A. Ogilvie , J. Zhu , L. Nakhleh

In this paper we provide a novel mathematical optimization based methodology to perturb the features of a given observation to be re-classified, by a tree ensemble classification rule, to a certain desired class. The method is based on…

Optimization and Control · Mathematics 2024-12-10 Víctor Blanco , Alberto Japón , Justo Puerto , Peter Zhang

Ancestral sequence reconstruction is a key task in computational biology. It consists in inferring a molecular sequence at an ancestral species of a known phylogeny, given descendant sequences at the tip of the tree. In addition to its many…

Populations and Evolution · Quantitative Biology 2022-07-27 Brandon Legried , Sebastien Roch

It is common in phylogenetics to have some, perhaps partial, information about the overall evolutionary tree of a group of organisms and wish to find an evolutionary tree of a specific gene for those organisms. There may not be enough…

Populations and Evolution · Quantitative Biology 2018-01-09 Vu Dinh , Lam Si Tung Ho , Marc A. Suchard , Frederick A. Matsen

Multivariate clustering in astrophysics is a recent development justified by the bigger and bigger surveys of the sky. The phylogenetic approach is probably the most unexpected technique that has appeared for the unsupervised classification…

Instrumentation and Methods for Astrophysics · Physics 2017-03-02 Didier Fraix-Burnet

As researchers collect increasingly large molecular data sets to reconstruct the Tree of Life, the heterogeneity of signals in the genomes of diverse organisms poses challenges for traditional phylogenetic analysis. A class of phylogenetic…

Populations and Evolution · Quantitative Biology 2015-09-11 Liang Liu , Zhenxiang Xi , Shaoyuan Wu , Charles Davis , Scott V. Edwards

The supertree problem asking for a tree displaying a set of consistent input trees has been largely considered for the reconstruction of species trees. Here, we rather explore this framework for the sake of reconstructing a gene tree from a…

Data Structures and Algorithms · Computer Science 2016-10-25 Manuel Lafond , Cédric Chauve , Nadia El-Mabrouk , Aïda Ouangraoua

Bayesian approaches to reconstructing the evolutionary history of languages rely on the tree model, which assumes that these languages descended from a common ancestor and underwent modifications over time. However, this assumption can be…

Computation and Language · Computer Science 2024-03-01 Yugo Murawaki

Background: The reconstruction of the phylogenetic tree topology of four taxa is, still nowadays, one of the main challenges in phylogenetics. Its difficulties lie in considering not too restrictive evolutionary models, and correctly…

Populations and Evolution · Quantitative Biology 2014-06-19 Esther Ibáñez , Marta Casanellas

Rate variation among the sites of a molecular sequence is commonly found in applications of phylogenetic inference. Several approaches exist to account for this feature but they do not usually enable the investigator to pinpoint the sites…

Quantitative Methods · Quantitative Biology 2013-05-23 Elisa Loza-Reyes , Merrilee Hurn , Tony Robinson

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