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We present an algorithm for phylogenetic reconstruction using quartets that returns the correct topology for $n$ taxa in $O(n \log n)$ time with high probability, in a probabilistic model where a quartet is not consistent with the true…

Populations and Evolution · Quantitative Biology 2010-10-12 Daniel G. Brown , Jakub Truszkowski

Quartet Reconstruction, the task of recovering a phylogenetic tree from smaller trees on four species called \textit{quartets}, is a well-studied problem in theoretical computer science with far-reaching connections to statistics, graph…

Data Structures and Algorithms · Computer Science 2026-04-21 Dionysis Arvanitakis , Vaggos Chatziafratis , Yiyuan Luo , Konstantin Makarychev

One reason why classical phylogenetic reconstruction methods fail to correctly infer the underlying topology is because they assume oversimplified models. In this paper we propose a topology reconstruction method consistent with the most…

Populations and Evolution · Quantitative Biology 2014-10-28 Jesús Fernández-Sánchez , Marta Casanellas

We propose a reinforcement-learning algorithm to tackle the challenge of reconstructing phylogenetic trees. The search for the tree that best describes the data is algorithmically challenging, thus all current algorithms for phylogeny…

Populations and Evolution · Quantitative Biology 2023-03-14 Dana Azouri , Oz Granit , Michael Alburquerque , Yishay Mansour , Tal Pupko , Itay Mayrose

A phylogenetic tree is a graphical representation of an evolutionary history of taxa in which the leaves correspond to the taxa and the non-leaves correspond to speciations. One of important problems in phylogenetic analysis is to assemble…

Combinatorics · Mathematics 2022-02-25 Hiroshi Hirai , Yuni Iwamasa

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

A central task in the study of molecular sequence data from present-day species is the reconstruction of the ancestral relationships. The most established approach to tree reconstruction is the maximum likelihood (ML) method. In this…

Quantitative Methods · Quantitative Biology 2007-05-23 Asger Hobolth , Ruriko Yoshida

We present the first sub-quadratic time algorithm that with high probability correctly reconstructs phylogenetic trees for short sequences generated by a Markov model of evolution. Due to rapid expansion in sequence databases, such very…

Populations and Evolution · Quantitative Biology 2012-06-01 Daniel G. Brown , Jakub Truszkowski

Recently there has been renewed interest in phylogenetic inference methods based on phylogenetic invariants, alongside the related Markov invariants. Broadly speaking, both these approaches give rise to polynomial functions of sequence site…

Quantitative Methods · Quantitative Biology 2017-03-31 Jeremy G Sumner , Amelia Taylor , Barbara R Holland , Peter D Jarvis

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

One of the main aims of phylogenetics is to reconstruct the \enquote{Tree of Life}. In this respect, different methods and criteria are used to analyze DNA sequences of different species and to compare them in order to derive the…

Populations and Evolution · Quantitative Biology 2018-10-05 Michelle Galla , Kristina Wicke , Mareike Fischer

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

The goal of branch length estimation in phylogenetic inference is to estimate the divergence time between a set of sequences based on compositional differences between them. A number of software is currently available facilitating branch…

Populations and Evolution · Quantitative Biology 2012-07-06 Ania Kedzierska , Marta Casanellas

Phylogenetic mixtures model the inhomogeneous molecular evolution commonly observed in data. The performance of phylogenetic reconstruction methods where the underlying data is generated by a mixture model has stimulated considerable recent…

Populations and Evolution · Quantitative Biology 2007-06-30 Frederick A. Matsen , Mike Steel

We analyse a maximum-likelihood approach for combining phylogenetic trees into a larger `supertree'. This is based on a simple exponential model of phylogenetic error, which ensures that ML supertrees have a simple combinatorial description…

Populations and Evolution · Quantitative Biology 2007-08-17 Mike Steel , Allen Rodrigo

Given natural limitations on the length DNA sequences, designing phylogenetic reconstruction methods which are reliable under limited information is a crucial endeavor. There have been two approaches to this problem: reconstructing partial…

Data Structures and Algorithms · Computer Science 2008-12-10 Radu Mihaescu , Cameron Hill , Satish Rao

The problem of reconstructing evolutionary trees or phylogenies is of great interest in computational biology. A popular model for this problem assumes that we are given the set of leaves (current species) of an unknown binary tree and the…

Data Structures and Algorithms · Computer Science 2022-06-16 Eshwar Ram Arunachaleswaran , Anindya De , Sampath Kannan

The maximum parsimony phylogenetic tree reconstruction problem is NP-hard, presenting a computational bottleneck for classical computing and motivating the exploration of emerging paradigms like quantum computing. To this end, we design…

Quantum Physics · Physics 2026-04-20 Jiawei Zhang , Yibo Chen , Yang Zhou , Jun-Han Huang

In molecular systematics, evolutionary trees are reconstructed from sequences at the tips under simple models of site substitution. A central question is how much sequence data is required to reconstruct a tree accurately? The answer…

Quantitative Methods · Quantitative Biology 2012-07-18 Iain Martyn , Mike Steel

Phylogenetic networks are necessary to represent the tree of life expanded by edges to represent events such as horizontal gene transfers, hybridizations or gene flow. Not all species follow the paradigm of vertical inheritance of their…

Populations and Evolution · Quantitative Biology 2016-02-15 Claudia Solís-Lemus , Cécile Ané
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