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Frequencies of $k$-mers in sequences are sometimes used as a basis for inferring phylogenetic trees without first obtaining a multiple sequence alignment. We show that a standard approach of using the squared-Euclidean distance between…

种群与进化 · 定量生物学 2016-01-15 Elizabeth S. Allman , John A. Rhodes , Seth Sullivant

We derive tractable criteria for the consistency of Bayesian tree reconstruction procedures, which constitute a central class of algorithms for inferring common ancestry among DNA sequence samples in phylogenetics. Our results encompass…

统计理论 · 数学 2025-08-05 Alisa Kirichenko , Luke J. Kelly , Jere Koskela

We describe a method that will reconstruct an unrooted binary phylogenetic level-1 network on n taxa from the set of all quartets containing a certain fixed taxon, in O(n^3) time. We also present a more general method which can handle more…

组合数学 · 数学 2013-08-26 J. C. M. Keijsper , R. A. Pendavingh

Most genes are part of larger families of evolutionary related genes. The history of gene families typically involves duplications and losses of genes as well as horizontal transfers into other organisms. The reconstruction of detailed gene…

种群与进化 · 定量生物学 2023-04-25 Marc Hellmuth , Peter F. Stadler

The reconstruction of transmission trees for epidemics from genetic data has been the subject of some recent interest. It has been demonstrated that the transmission tree structure can be investigated by augmenting internal nodes of a…

种群与进化 · 定量生物学 2016-01-07 Matthew Hall , Andrew Rambaut

Gene trees record the combination of gene level events, such as duplication, transfer and loss, and species level events, such as speciation and extinction. Gene tree-species tree reconciliation methods model these processes by drawing gene…

种群与进化 · 定量生物学 2013-06-11 Gergely J. Szöllősi , Wojciech Rosikiewicz , Bastien Boussau , Eric Tannier , Vincent Daubin

The prevailing mindset is that a single decision tree underperforms classic random forests in testing accuracy, despite its advantages in interpretability and lightweight structure. This study challenges such a mindset by significantly…

机器学习 · 计算机科学 2024-11-27 Qiangqiang Mao , Yankai Cao

It is a classical result that any finite tree with positively weighted edges, and without vertices of degree 2, is uniquely determined by the weighted path distance between each pair of leaves. Moreover, it is possible for a (small) strict…

组合数学 · 数学 2012-09-12 Katharina T. Huber , Mike Steel

A phylogenetic tree is an important way in Bioinformatics to find the evolutionary relationship among biological species. In this research, a proposed model is described for the estimation of a phylogenetic tree for a given set of data. To…

种群与进化 · 定量生物学 2025-09-03 S M Rafiuddin

Under the multispecies coalescent model of molecular evolution, gene trees have independent evolutionary histories within a shared species tree. In comparison, supermatrix concatenation methods assume that gene trees share a single common…

种群与进化 · 定量生物学 2016-06-13 Huw A. Ogilvie , Joseph Heled , Dong Xie , Alexei J. Drummond

Molecular phylogenetic techniques do not generally account for such common evolutionary events as site insertions and deletions (known as indels). Instead tree building algorithms and ancestral state inference procedures typically rely on…

Recurrence formulas are presented for studying the accuracy of the Fitch method for reconstructing the ancestral states in a given phylogenetic tree. As their applications, we analyze the convergence of the accuracy of reconstructing the…

种群与进化 · 定量生物学 2009-06-18 Louxin Zhang , Jian Shen , Jialiang Yang , Guoliang Li

In this paper a general class of tree algorithms is analyzed. It is shown that, by using an appropriate probabilistic representation of the quantities of interest, the asymptotic behavior of these algorithms can be obtained quite easily…

概率论 · 数学 2016-08-16 Hanène Mohamed , Philippe Robert

Recently much attention has been devoted to the construction of phylogenetic networks which generalize phylogenetic trees in order to accommodate complex evolutionary processes. Here we present an efficient, practical algorithm for…

种群与进化 · 定量生物学 2009-10-22 Katharina T. Huber , Leo van Iersel , Steven Kelk , Radoslaw Suchecki

One strategy for reconstruction of phylogenetic networks is to solve the phylogenetic network problem, which involves inferring phylogenetic trees first and subsequently computing the smallest phylogenetic network that displays all the…

组合数学 · 数学 2023-09-26 Laurent Bulteau , Louxin Zhang

Traditionally, phylogeny and sequence alignment are estimated separately: first estimate a multiple sequence alignment and then infer a phylogeny based on the sequence alignment estimated in the previous step. However, uncertainty in the…

应用统计 · 统计学 2014-11-25 Heejung Shim , Bret Larget

Phylogenetic trees are important tools in the study of evolutionary relationships between species. Measures such as the index of Sackin, Colless, and Total Cophenetic have been extensively used to quantify tree balance, one key property of…

种群与进化 · 定量生物学 2020-09-01 T. Araújo Lima , Marcus A. M. de Aguiar

We present an extension of Felsenstein's algorithm to indel models defined on entire sequences, without the need to condition on one multiple alignment. The algorithm makes use of a generalization from probabilistic substitution matrices to…

种群与进化 · 定量生物学 2014-10-24 Oscar Westesson , Gerton Lunter , Benedict Paten , Ian Holmes

Phylogenetic methods typically rely on an appropriate model of how data evolved in order to infer an accurate phylogenetic tree. For molecular data, standard statistical methods have provided an effective strategy for extracting…

种群与进化 · 定量生物学 2015-01-21 Robert W. Scotland , Mike Steel

Phylogenetic trees are widely used to display estimates of how groups of species evolved. Each phylogenetic tree can be seen as a collection of clusters, subgroups of the species that evolved from a common ancestor. When phylogenetic trees…

种群与进化 · 定量生物学 2009-10-19 Leo van Iersel , Steven Kelk , Regula Rupp , Daniel Huson
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