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The constant rate birth--death process is a popular null model for speciation and extinction. If one removes extinct and non-sampled lineages, this process induces `reconstructed trees' which describe the relationship between extant…

Probability · Mathematics 2011-08-01 Tanja Stadler , Mike Steel

Phylogenetic networks are a type of directed acyclic graph that represent how a set $X$ of present-day species are descended from a common ancestor by processes of speciation and reticulate evolution. In the absence of reticulate evolution,…

Combinatorics · Mathematics 2017-08-11 Andrew Francis , Charles Semple , Mike Steel

Phylogenetic networks generalise phylogenetic trees and allow for the accurate representation of the evolutionary history of a set of present-day species whose past includes reticulate events such as hybridisation and lateral gene transfer.…

Populations and Evolution · Quantitative Biology 2018-09-05 Joan Carles Pons , Charles Semple , Mike Steel

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…

Combinatorics · Mathematics 2012-09-12 Katharina T. Huber , Mike Steel

Phylogenomic approaches developed thus far are either too time-consuming or lack a solid evolutionary basis. Moreover, no phylogenomic approach is capable of constructing a tree directly from unassembled raw sequencing data. A new…

Quantitative Methods · Quantitative Biology 2013-01-22 Huiguang Yi

There are several tools available to infer phylogenetic trees, which depict the evolutionary relationships among biological entities such as viral and bacterial strains in infectious outbreaks, or cancerous cells in tumor progression trees.…

Data Structures and Algorithms · Computer Science 2023-12-22 António Pedro Branco , Cátia Vaz , Alexandre P. Francisco

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

Phylogenetic inference-the derivation of a hypothesis for the common evolutionary history of a group of species- is an active area of research at the intersection of biology, computer science, mathematics, and statistics. One assumes the…

Populations and Evolution · Quantitative Biology 2016-06-21 Ruth Davidson , Joseph Rusinko , Zoe Vernon , Jing Xi

In phylogenetic networks, it is desirable to estimate edge lengths in substitutions per site or calendar time. Yet, there is a lack of scalable methods that provide such estimates. Here we consider the problem of obtaining edge length…

Populations and Evolution · Quantitative Biology 2024-08-06 Jingcheng Xu , Cécile Ané

The structure of an evolving network contains information about its past. Extracting this information efficiently, however, is, in general, a difficult challenge. We formulate a fast and efficient method to estimate the most likely history…

Physics and Society · Physics 2020-09-16 Gábor Timár , Rui A. da Costa , Sergey N. Dorogovtsev , José F. F. Mendes

Many biological studies involve inferring the evolutionary history of a sample of individuals from a large population and interpreting the reconstructed tree. Such an ascertained tree typically represents only a small part of a…

Populations and Evolution · Quantitative Biology 2024-08-13 Michael Celentano , William S. DeWitt , Sebastian Prillo , Yun S. Song

Reconstructing the tree of life from molecular sequences is a fundamental problem in computational biology. Modern data sets often contain a large number of genes, which can complicate the reconstruction problem due to the fact that…

Probability · Mathematics 2017-07-21 Constantinos Daskalakis , Sebastien Roch

Phylogenetics is now fundamental in life sciences, providing insights into the earliest branches of life and the origins and spread of epidemics. However, finding suitable phylogenies from the vast space of possible trees remains…

Populations and Evolution · Quantitative Biology 2024-01-24 Matthew J Penn , Neil Scheidwasser , Joseph Penn , Christl A Donnelly , David A Duchêne , Samir Bhatt

Phylogenetic reconstruction aims at finding plausible hypotheses of the evolutionary history of genes or species based on genomic sequence information. The distinction of orthologous genes (genes that having a common ancestry and diverged…

Populations and Evolution · Quantitative Biology 2016-02-29 Marc Hellmuth , Nicolas Wieseke

Phylogenetics is a branch of computational biology that studies the evolutionary relationships among biological entities. Its long history and numerous applications notwithstanding, inference of phylogenetic trees from sequence data remains…

Populations and Evolution · Quantitative Biology 2024-03-26 Mingyang Zhou , Zichao Yan , Elliot Layne , Nikolay Malkin , Dinghuai Zhang , Moksh Jain , Mathieu Blanchette , Yoshua Bengio

Historical linguistics aims at inferring the most likely language phylogenetic tree starting from information concerning the evolutionary relatedness of languages. The available information are typically lists of homologous (lexical,…

Physics and Society · Physics 2015-05-27 Simone Pompei , Vittorio Loreto , Francesca Tria

Bayesian inference is now a leading technique for reconstructing phylogenetic trees from aligned sequence data. In this short note, we formally show that the maximum posterior tree topology provides a statistically consistent estimate of a…

Populations and Evolution · Quantitative Biology 2013-07-12 Mike Steel

Phylogenetic network is an evolutionary model that uses a rooted directed acyclic graph (instead of a tree) to model an evolutionary history of species in which reticulate events (e.g., hybrid speciation or horizontal gene transfer)…

Populations and Evolution · Quantitative Biology 2023-12-01 Yufeng Wu , Louxin Zhang

This paper studies the relationship between undirected (unrooted) and directed (rooted) phylogenetic networks. We describe a polynomial-time algorithm for deciding whether an undirected nonbinary phylogenetic network, given the locations of…

Data Structures and Algorithms · Computer Science 2023-10-02 Katharina T. Huber , Leo van Iersel , Remie Janssen , Mark Jones , Vincent Moulton , Yukihiro Murakami , Charles Semple

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