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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

Balanced minimum evolution (BME) is a statistically consistent distance-based method to reconstruct a phylogenetic tree from an alignment of molecular data. In 2000, Pauplin showed that the BME method is equivalent to optimizing a linear…

种群与进化 · 定量生物学 2015-03-14 David C. Haws , Terrell Hodge , Ruriko Yoshida

The Neighbor-Joining algorithm is a popular distance-based phylogenetic method that computes a tree metric from a dissimilarity map arising from biological data. Realizing dissimilarity maps as points in Euclidean space, the algorithm…

组合数学 · 数学 2020-09-18 Ruth Davidson , Abraham Martin del Campo

The neighbor-joining algorithm is a popular phylogenetics method for constructing trees from dissimilarity maps. The neighbor-net algorithm is an extension of the neighbor-joining algorithm and is used for constructing split networks. We…

组合数学 · 数学 2008-05-13 Dan Levy , Lior Pachter

The Neighbor-Joining algorithm is a recursive procedure for reconstructing trees that is based on a transformation of pairwise distances between leaves. We present a generalization of the neighbor-joining transformation, which uses…

定量方法 · 定量生物学 2007-05-23 Dan Levy , Ruriko Yoshida , Lior Pachter

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

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

This paper introduces constNJ, the first algorithm for phylogenetic reconstruction of sets of trees with constrained pairwise rooted subtree-prune regraft (rSPR) distance. We are motivated by the problem of constructing sets of trees which…

种群与进化 · 定量生物学 2009-09-30 Frederick A. Matsen

A distance-based method to reconstruct a phylogenetic tree with $n$ leaves takes a distance matrix, $n \times n$ symmetric matrix with $0$s in the diagonal, as its input and reconstructs a tree with $n$ leaves using tools in combinatorics.…

种群与进化 · 定量生物学 2015-08-03 Jing Xi , Jin Xie , Ruriko Yoshida , Stefan Forcey

The Neighbor Joining Algorithm is among the most fundamental algorithmic results in computational biology. However, its definition and correctness proof are not straightforward. In particular, ''the question ''what does the NJ method seek…

定量方法 · 定量生物学 2023-05-31 Mathias Weller

Recent theoretical work has demonstrated that Neighbor Joining applied to concatenated DNA sequences is a statistically consistent method of species tree reconstruction. This brief note compares the accuracy of this approach to other…

种群与进化 · 定量生物学 2016-12-07 Joseph Rusinko , Matthew McPartlon

We show that the neighbor-joining algorithm is a robust quartet method for constructing trees from distances. This leads to a new performance guarantee that contains Atteson's optimal radius bound as a special case and explains many cases…

数据结构与算法 · 计算机科学 2007-06-17 Radu Mihaescu , Dan Levy , Lior Pachter

A common assumption in multiple scientific applications is that the distribution of observed data can be modeled by a latent tree graphical model. An important example is phylogenetics, where the tree models the evolutionary lineages of a…

机器学习 · 统计学 2020-09-24 Ariel Jaffe , Noah Amsel , Yariv Aizenbud , Boaz Nadler , Joseph T. Chang , Yuval Kluger

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…

种群与进化 · 定量生物学 2013-10-09 Piotr Plonski , Jan P. Radomski

Among the distance based algorithms in phylogenetic tree reconstruction, the neighbor-joining algorithm has been a widely used and effective method. We propose a new algorithm which counts the number of consistent quartets for cherry…

种群与进化 · 定量生物学 2023-10-31 Jin-Hwan Cho , Dosang Joe , Young Rock Kim

It is well known among phylogeneticists that adding an extra taxon (e.g. species) to a data set can alter the structure of the optimal phylogenetic tree in surprising ways. However, little is known about this "rogue taxon" effect. In this…

种群与进化 · 定量生物学 2010-04-27 María Angélica Cueto , Frederick A. Matsen

A protein contact map is a binary symmetric adjacency matrix capturing the distance relationship between atoms of a protein. Each cell (i, j) of a protein contact map states whether the atoms (nodes) i and j are within some Euclidean…

分子网络 · 定量生物学 2013-05-07 Susan Khor

Many popular algorithms for searching the space of leaf-labelled trees are based on tree rearrangement operations. Under any such operation, the problem is reduced to searching a graph where vertices are trees and (undirected) edges are…

数据结构与算法 · 计算机科学 2020-07-27 Lena Collienne , Alex Gavryushkin

A variety of algorithms have been proposed for reconstructing trees that show the evolutionary relationships between species by comparing differences in genetic data across present-day taxa. If the leaf-to-leaf distances in a tree can be…

种群与进化 · 定量生物学 2014-11-18 Olivier Gascuel , Mike Steel

Phylogenetic trees are leaf-labelled trees used to model the evolution of species. In practice it is not uncommon to obtain two topologically distinct trees for the same set of species, and this motivates the use of distance measures to…

数据结构与算法 · 计算机科学 2026-03-24 David Mestel , Steven Chaplick , Steven Kelk , Ruben Meuwese
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