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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…

Quantitative Methods · Quantitative Biology 2007-05-23 Dan Levy , Ruriko Yoshida , Lior Pachter

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…

Combinatorics · Mathematics 2020-09-18 Ruth Davidson , Abraham Martin del Campo

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…

Combinatorics · Mathematics 2007-05-23 Kord Eickmeyer , Ruriko Yoshida

The popular neighbor-joining (NJ) algorithm used in phylogenetics is a greedy algorithm for finding the balanced minimum evolution (BME) tree associated to a dissimilarity map. From this point of view, NJ is ``optimal'' when the algorithm…

Quantitative Methods · Quantitative Biology 2007-10-29 Kord Eickmeyer , Peter Huggins , Lior Pachter , Ruriko Yoshida

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…

Combinatorics · Mathematics 2009-08-04 Kord Eickmeyer , Ruriko Yoshida

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…

Populations and Evolution · Quantitative Biology 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…

Data Structures and Algorithms · Computer Science 2007-06-17 Radu Mihaescu , Dan Levy , Lior Pachter

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

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…

Combinatorics · Mathematics 2008-05-13 Dan Levy , Lior Pachter

In this article we propose a new method, which we name 'quartet neighbor joining', or 'quartet-NJ', to infer an unrooted species tree on a given set of taxa T from empirical distributions of unrooted quartet gene trees on all four-taxon…

Populations and Evolution · Quantitative Biology 2011-08-09 Martin Kreidl

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…

Machine Learning · Statistics 2020-09-24 Ariel Jaffe , Noah Amsel , Yariv Aizenbud , Boaz Nadler , Joseph T. Chang , Yuval Kluger

k-nearest neighbor graph is a fundamental data structure in many disciplines such as information retrieval, data-mining, pattern recognition, and machine learning, etc. In the literature, considerable research has been focusing on how to…

Information Retrieval · Computer Science 2021-07-30 Wan-Lei Zhao , Hui Wang , Peng-Cheng Lin , Chong-Wah Ngo

Many distributed learning techniques have been motivated by the increasing size of datasets and their inability to fit into main memory on a single machine. We propose an algorithm that finds the nearest neighbor in a graph locally without…

Data Structures and Algorithms · Computer Science 2019-02-18 Abhinav Mishra

k nearest neighbor join (kNN join), designed to find k nearest neighbors from a dataset S for every object in another dataset R, is a primitive operation widely adopted by many data mining applications. As a combination of the k nearest…

Databases · Computer Science 2015-03-20 Wei Lu , Yanyan Shen , Su Chen , Beng Chin Ooi

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…

Populations and Evolution · Quantitative Biology 2009-09-30 Frederick A. Matsen

An algorithm is developed for finding a close to optimal junction tree of a given graph G. The algorithm has a worst case complexity O(c^k n^a) where a and c are constants, n is the number of vertices, and k is the size of the largest…

Data Structures and Algorithms · Computer Science 2013-02-18 Ann Becker , Dan Geiger

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…

Populations and Evolution · Quantitative Biology 2015-03-14 David C. Haws , Terrell Hodge , Ruriko Yoshida

K Nearest Neighbor (KNN) joins are used in scientific domains for data analysis, and are building blocks of several well-known algorithms. KNN-joins find the KNN of all points in a dataset. This paper focuses on a hybrid CPU/GPU approach…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-11-19 Michael Gowanlock

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

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…

Data Structures and Algorithms · Computer Science 2020-07-27 Lena Collienne , Alex Gavryushkin
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