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We have developed an alignment-free method that calculates phylogenetic distances using a maximum likelihood approach for a model of sequence change on patterns that are discovered in unaligned sequences. To evaluate the phylogenetic…

Quantitative Methods · Quantitative Biology 2007-05-23 Michael Höhl , Isidore Rigoutsos , Mark A. Ragan

Genomes and genes diversify during evolution; however, it is unclear to what extent genes still retain the relationship among species. Model species for molecular phylogenetic studies include yeasts and viruses whose genomes were sequenced…

Genomics · Quantitative Biology 2008-06-09 Yunfeng Shan , Xiu-Qing Li

Semidirected networks have received interest in evolutionary biology as the appropriate generalization of unrooted trees to networks, in which some but not all edges are directed. Yet these networks lack proper theoretical study. We define…

Combinatorics · Mathematics 2024-10-14 Michael Maxfield , Jingcheng Xu , Cécile Ané

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…

Populations and Evolution · Quantitative Biology 2016-01-15 Elizabeth S. Allman , John A. Rhodes , Seth Sullivant

We consider the problem of identifying jointly the ancestral sequence, the phylogeny and the parameters in models of DNA sequence evolution with insertion and deletion (indel). Under the classical TKF91 model of sequence evolution, we…

Populations and Evolution · Quantitative Biology 2024-11-15 Alex Xue , Brandon Legried , Wai-Tong Louis Fan

Gene annotation has traditionally required direct comparison of DNA sequences between an unknown gene and a database of known ones using string comparison methods. However, these methods do not provide useful information when a gene does…

Machine Learning · Computer Science 2019-09-17 James K. Senter , Taylor M. Royalty , Andrew D. Steen , Amir Sadovnik

We introduce a model of DNA sequence evolution which can account for biases in mutation rates that depend on the identity of the neighboring bases. An analytic solution for this class of non-equilibrium models is developed by adopting…

Biological Physics · Physics 2007-05-23 Peter F. Arndt , Christopher B. Burge , Terence Hwa

The recent explosion of genomic data has underscored the need for interpretable and comprehensive analyses that can capture complex phylogenetic relationships within and across species. Recombination, reassortment and horizontal gene…

Quantitative Methods · Quantitative Biology 2016-09-28 Pablo G. Camara , Arnold J. Levine , Raul Rabadan

The ability to estimate the evolutionary distance between extant genomes plays a crucial role in many phylogenomic studies. Often such estimation is based on the parsimony assumption, implying that the distance between two genomes can be…

Genomics · Quantitative Biology 2017-05-29 Nikita Alexeev , Max A. Alekseyev

The goal of this paper is to study the similarity between sequences using a distance between the \emph{context} trees associated to the sequences. These trees are defined in the framework of \emph{Sparse Probabilistic Suffix Trees} (SPST),…

Applications · Statistics 2008-04-29 Florencia Leonardi , Sergio R. Matioli , Hugo A. Armelin , Antonio Galves

Most of major algorithms for phylogenetic tree reconstruction assume that sequences in the analyzed set either do not have any offspring, or that parent sequences can maximally mutate into just two descendants. The graph resulting from such…

Populations and Evolution · Quantitative Biology 2013-10-09 Piotr Plonski , Jan P. Radomski

Genomic datasets generated with massively parallel sequencing methods have the potential to propel systematics in new and exciting directions, but selecting appropriate markers and methods is not straightforward. We applied two approaches…

Genomics · Quantitative Biology 2017-03-28 Michael G. Harvey , Brian Tilston Smith , Travis C. Glenn , Brant C. Faircloth , Robb T. Brumfield

Technology convergence integrates distinct domains to create novel combinations, driving radical innovation that reshapes markets and industries. However, most approaches rely on pairwise networks that cannot capture multi-technology…

Physics and Society · Physics 2026-02-27 Yiwei Huang , Shuqi Xu , Shimin Cai , Linyuan Lü

The number of extant individuals within a lineage, as exemplified by counts of species numbers across genera in a higher taxonomic category, is known to be a highly skewed distribution. Because the sublineages (such as genera in a clade)…

Applications · Statistics 2009-01-09 Panagis Moschopoulos , Max Shpak

Cross-entropy loss has long been the standard choice for training deep neural networks, yet it suffers from interpretability limitations, unbounded weight growth, and inefficiencies that can contribute to costly training dynamics. The…

Machine Learning · Computer Science 2026-04-30 Maxwell Miller-Golub , Collin Coil , Kamil Faber , Marcin Pietron , Panpan Zheng , Pasquale Minervini , Roberto Corizzo

Phylogenetics uses alignments of molecular sequence data to learn about evolutionary trees. Substitutions in sequences are modelled through a continuous-time Markov process, characterised by an instantaneous rate matrix, which standard…

Populations and Evolution · Quantitative Biology 2020-07-20 Naomi E. Hannaford , Sarah E. Heaps , Tom M. W. Nye , Tom A. Williams , T. Martin Embley

Homologous gene shuffling between DNA promotes genetic diversity and is an important pathway for DNA repair. For this to occur, homologous genes need to find and recognize each other. However, despite its central role in homologous…

Biological Physics · Physics 2014-12-04 Dominic J. Lee , Aaron Wynveen , Tim Albrecht , Alexei A. Kornyshev

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

We introduce a new phylogenetic reconstruction algorithm which, unlike most previous rigorous inference techniques, does not rely on assumptions regarding the branch lengths or the depth of the tree. The algorithm returns a forest which is…

Populations and Evolution · Quantitative Biology 2011-09-30 Constantinos Daskalakis , Elchanan Mossel , Sebastien Roch

Frameshift mutations in protein-coding DNA sequences produce a drastic change in the resulting protein sequence, which prevents classic protein alignment methods from revealing the proteins' common origin. Moreover, when a large number of…

Quantitative Methods · Quantitative Biology 2011-01-18 Marta L. Gîrdea , Laurent Noé , Gregory Kucherov
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