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Recursive partitioning is the core of several statistical methods including CART, random forest, and boosted trees. Despite the popularity of tree based methods, to date, there did not exist methods for combining multiple trees into a…

数据结构与算法 · 计算机科学 2016-03-18 Sean Skwerer , Heping Zhang

Recently, the minimum number of reticulation events that is required to simultaneously embed a collection P of rooted binary phylogenetic trees into a so-called temporal network has been characterized in terms of cherry-picking sequences.…

种群与进化 · 定量生物学 2021-04-13 Janosch Döcker , Simone Linz

Distance based algorithms are a common technique in the construction of phylogenetic trees from taxonomic sequence data. The first step in the implementation of these algorithms is the calculation of a pairwise distance matrix to give a…

种群与进化 · 定量生物学 2007-05-23 J G Sumner , P D Jarvis

In this paper, we will analyze the behavior of the Neighbor Joining algorithm on five taxa and we will show that the partition of the sample (data) space for estimation of a tree topology with five taxa into subspaces, within each of which…

组合数学 · 数学 2007-05-23 Kord Eickmeyer , Ruriko Yoshida

Distance-based approaches in phylogenetics such as Neighbor-Joining are a fast and popular approach for building trees. These methods take pairs of sequences from them construct a value that, in expectation, is additive under a stochastic…

种群与进化 · 定量生物学 2008-08-21 Mike Steel

In 2007, Eickmeyer et al. showed that the tree topologies outputted by the Neighbor-Joining (NJ) algorithm and the balanced minimum evolution (BME) method for phylogenetic reconstruction are each determined by a polyhedral subdivision of…

组合数学 · 数学 2009-08-04 Kord Eickmeyer , Ruriko Yoshida

Here we show that deciding whether two rooted binary phylogenetic trees on the same set of taxa permit a cherry-picking sequence, a special type of elimination order on the taxa, is NP-complete. This improves on an earlier result which…

种群与进化 · 定量生物学 2021-04-13 Janosch Döcker , Leo van Iersel , Steven Kelk , Simone Linz

Phylogenetic networks are important for the study of evolution. The number of methods to find such networks is increasing, but most such methods can only reconstruct small networks. To find bigger networks, one can attempt to combine small…

离散数学 · 计算机科学 2019-12-10 Remie Janssen , Mark Jones , Yukihiro Murakami

Species tree reconstruction is complicated by effects of Incomplete Lineage Sorting (ILS), commonly modeled by the multi-species coalescent model. While there has been substantial progress in developing methods that estimate a species tree…

定量方法 · 定量生物学 2016-05-10 Erfan Sayyari , Siavash Mirarab

Typing methods are widely used in the surveillance of infectious diseases, outbreaks investigation and studies of the natural history of an infection. And their use is becoming standard, in particular with the introduction of High…

数据结构与算法 · 计算机科学 2020-06-16 Cátia Vaz , Marta Nascimento , João A. Carriço , Tatiana Rocher , Alexandre P. Francisco

Phylogenetic networks are used to represent evolutionary scenarios in biology and linguistics. To find the most probable scenario, it may be necessary to compare candidate networks, to distinguish different networks, and to see when one…

组合数学 · 数学 2020-04-10 Remie Janssen , Yukihiro Murakami

The quartet distance is a measure of similarity used to compare two unrooted phylogenetic trees on the same set of $n$ leaves, defined as the number of subsets of four leaves related by a different topology in both trees. After a series of…

数据结构与算法 · 计算机科学 2020-12-03 Bartłomiej Dudek , Paweł Gawrychowski

Feature correspondence selection is pivotal to many feature-matching based tasks in computer vision. Searching for spatially k-nearest neighbors is a common strategy for extracting local information in many previous works. However, there is…

计算机视觉与模式识别 · 计算机科学 2019-04-02 Chen Zhao , Zhiguo Cao , Chi Li , Xin Li , Jiaqi Yang

The multispecies coalescent process models the genealogical relationships of genes sampled from several species, enabling useful predictions about phenomena such as the discordance between the gene tree and the species phylogeny due to…

种群与进化 · 定量生物学 2020-12-11 Jakub Truszkowski , Celine Scornavacca , Fabio Pardi

Semi-directed networks provide a graphical structure for describing the evolutionary history of organisms in the presence of hybridization. We introduce two algorithms for reconstructing semi-directed level-1 phylogenetic networks from…

基因组学 · 定量生物学 2025-07-23 Sophia Huebler , Rachel Morris , Joseph Rusinko

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…

种群与进化 · 定量生物学 2012-06-01 Daniel G. Brown , Jakub Truszkowski

We consider the problem of constructing an an optimal-weight tree from the 3*(n choose 4) weighted quartet topologies on n objects, where optimality means that the summed weight of the embedded quartet topologiesis optimal (so it can be the…

数据结构与算法 · 计算机科学 2011-11-09 Rudi Cilibrasi , Paul M. B. Vitanyi

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…

定量方法 · 定量生物学 2007-05-23 Asger Hobolth , Ruriko Yoshida

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…

种群与进化 · 定量生物学 2013-07-24 Ruth Davidson , Seth Sullivant

Background: The reconstruction of the phylogenetic tree topology of four taxa is, still nowadays, one of the main challenges in phylogenetics. Its difficulties lie in considering not too restrictive evolutionary models, and correctly…

种群与进化 · 定量生物学 2014-06-19 Esther Ibáñez , Marta Casanellas