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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

The subtree prune-and-regraft (SPR) distance metric is a fundamental way of comparing evolutionary trees. It has wide-ranging applications, such as to study lateral genetic transfer, viral recombination, and Markov chain Monte Carlo…

Data Structures and Algorithms · Computer Science 2017-11-07 Chris Whidden , Frederick A. Matsen

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

The supertree construction problem is about combining several phylogenetic trees with possibly conflicting information into a single tree that has all the leaves of the source trees as its leaves and the relationships between the leaves are…

Computational Engineering, Finance, and Science · Computer Science 2020-02-19 Laura Koponen , Emilia Oikarinen , Tomi Janhunen , Laura Säilä

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

A chief problem in phylogenetics and database theory is the computation of a maximum consistent tree from a set of rooted or unrooted trees. A standard input are triplets, rooted binary trees on three leaves, or quartets, unrooted binary…

Discrete Mathematics · Computer Science 2010-05-31 Leo van Iersel , Matthias Mnich

Distance-based phylogenetic algorithms attempt to solve the NP-hard least squares phylogeny problem by mapping an arbitrary dissimilarity map representing biological data to a tree metric. The set of all dissimilarity maps is a Euclidean…

Populations and Evolution · Quantitative Biology 2013-07-24 Ruth Davidson , Seth Sullivant

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…

Populations and Evolution · Quantitative Biology 2015-01-21 Robert W. Scotland , Mike Steel

Phylogenetic inference, the task of reconstructing how related sequences evolved from common ancestors, is a central objective in evolutionary genomics. The current state-of-the-art methods exploit probabilistic models of sequence evolution…

Populations and Evolution · Quantitative Biology 2026-02-19 Luc Blassel , Noémie Sauvage , Pierre Barrat-Charlaix , Bastien Boussau , Nicolas Lartillot , Laurent Jacob

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

Phylogenetic trees describe the relationships between species in the evolutionary process, and provide information about the rates of diversification. To understand the mechanisms behind macroevolution, we consider a class of multitype…

Populations and Evolution · Quantitative Biology 2024-10-07 Mingqi He , Sophie Hautphenne , Yao-ban Chan

The syntactic structure of a sentence is often represented using syntactic dependency trees. The sum of the distances between syntactically related words has been in the limelight for the past decades. Research on dependency distances led…

Computation and Language · Computer Science 2023-10-16 Lluís Alemany-Puig , Ramon Ferrer-i-Cancho

In this paper we propose an approach for computing multiple high-quality near-isometric dense correspondences between a pair of 3D shapes. Our method is fully automatic and does not rely on user-provided landmarks or descriptors. This…

Graphics · Computer Science 2020-09-11 Jing Ren , Simone Melzi , Maks Ovsjanikov , Peter Wonka

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

Phylogenetic networks are a generalization of phylogenetic trees that allow for the representation of non-treelike evolutionary events, like recombination, hybridization, or lateral gene transfer. In this paper, we present and study a new…

Populations and Evolution · Quantitative Biology 2007-08-28 Gabriel Cardona , Francesc Rossello , Gabriel Valiente

This paper presents a model-based, unsupervised algorithm for recovering word boundaries in a natural-language text from which they have been deleted. The algorithm is derived from a probability model of the source that generated the text.…

Computation and Language · Computer Science 2007-05-23 Michael R. Brent

Reconstructing evolutionary trees from molecular sequence data is a fundamental problem in computational biology. Stochastic models of sequence evolution are closely related to spin systems that have been extensively studied in statistical…

Probability · Mathematics 2017-07-20 Sebastien Roch , Allan Sly

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

We present efficient algorithms for computing a maximum agreement forest (MAF) of a pair of multifurcating (nonbinary) rooted trees. Our algorithms match the running times of the currently best algorithms for the binary case. The size of an…

Data Structures and Algorithms · Computer Science 2013-05-03 Chris Whidden , Robert G. Beiko , Norbert Zeh

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