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This paper presents a new, parallel implementation of clustering and demonstrates its utility in greatly speeding up the process of identifying homologous proteins. Clustering is a technique to reduce the number of comparison needed to find…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-08-29 Stuart Byma , Akash Dhasade , Adrian Altenhoff , Christophe Dessimoz , James R. Larus

Hybridization networks are representations of evolutionary histories that allow for the inclusion of reticulate events like recombinations, hybridizations, or lateral gene transfers. The recent growth in the number of hybridization network…

Populations and Evolution · Quantitative Biology 2008-07-06 Gabriel Cardona , Merce Llabres , Francesc Rossello , Gabriel Valiente

Time course microarray data provide insight about dynamic biological processes. While several clustering methods have been proposed for the analysis of these data structures, comparison and selection of appropriate clustering methods are…

Applications · Statistics 2014-05-01 Yafeng Zhang , Steve Horvath , Roel Ophoff , Donatello Telesca

Bayesian inference is a popular and widely-used approach to infer phylogenies (evolutionary trees). However, despite decades of widespread application, it remains difficult to judge how well a given Bayesian Markov chain Monte Carlo (MCMC)…

Methodology · Statistics 2022-09-07 Andrew F. Magee , Michael D. Karcher , Frederick A. Matsen , Vladimir N. Minin

Methods that generate networks sharing a given degree distribution and global clustering can induce changes in structural properties other than that controlled for. Diversity in structural properties, in turn, can affect the outcomes of…

Social and Information Networks · Computer Science 2018-09-18 Peter Overbury , István Z. Kiss , Luc Berthouze

Rooted phylogenetic networks are often constructed by combining trees, clusters, triplets or characters into a single network that in some well-defined sense simultaneously represents them all. We review these four models and investigate…

Populations and Evolution · Quantitative Biology 2010-04-30 Leo van Iersel , Steven Kelk

Understanding the evolution of a set of genes or species is a fundamental problem in evolutionary biology. The problem we study here takes as input a set of trees describing {possibly discordant} evolutionary scenarios for a given set of…

Data Structures and Algorithms · Computer Science 2019-07-10 Cedric Chauve , Mark Jones , Manuel Lafond , Céline Scornavacca , Mathias Weller

Phylogenetic networks generalize phylogenetic trees by allowing the modelization of events of reticulate evolution. Among the different kinds of phylogenetic networks that have been proposed in the literature, the subclass of binary…

Data Structures and Algorithms · Computer Science 2020-07-01 Gabriel Cardona , Joan Carles Pons , Celine Scornavacca

A method was developed for Bayesian inference of species phylogeny using the multi-species coalescent model. To improve the mixing properties of the Markov chain Monte Carlo (MCMC) algorithm that traverses the space of species trees, we…

Populations and Evolution · Quantitative Biology 2015-12-15 Bruce Rannala , Ziheng Yang

In the present paper we discuss the clustering procedure in the case where instead of a single metric we have a family of metrics. In this case we can obtain a partially ordered graph of clusters which is not necessarily a tree. We discuss…

Data Structures and Algorithms · Computer Science 2012-08-01 S. Albeverio , S. V. Kozyrev

This paper considers a canonical clustering problem where one receives unlabeled samples drawn from a balanced mixture of two elliptical distributions and aims for a classifier to estimate the labels. Many popular methods including PCA and…

Machine Learning · Statistics 2021-11-30 Kaizheng Wang , Yuling Yan , Mateo Díaz

Phylogenetic networks are rooted acyclic directed graphs in which the leaves are identified with members of a set X of species. The cluster of a vertex is the set of leaves that are descendants of the vertex. A network is "distinct-cluster"…

Combinatorics · Mathematics 2017-04-11 Stephen J. Willson

The Minimum Quartet Tree Cost problem is to construct 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 topologies is optimal…

Machine Learning · Computer Science 2014-09-16 Rudi L. Cilibrasi , Paul M. B. Vitanyi

Clustering algorithms partition a dataset into groups of similar points. The clustering problem is very general, and different partitions of the same dataset could be considered correct and useful. To fully understand such data, it must be…

Machine Learning · Computer Science 2021-02-02 James M. Murphy , Sam L. Polk

Reticulate evolution gives rise to complex phylogenetic networks, making their interpretation challenging. A typical approach is to extract trees within such networks. Since Francis and Steel's seminal paper, "Which Phylogenetic Networks…

Combinatorics · Mathematics 2025-05-20 Takatora Suzuki , Momoko Hayamizu

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

Tumours develop in an evolutionary process, in which the accumulation of mutations produces subpopulations of cells with distinct mutational profiles, called clones. This process leads to the genetic heterogeneity widely observed in tumour…

Applications · Statistics 2017-02-07 Francesco Marass , Florent Mouliere , Ke Yuan , Nitzan Rosenfeld , Florian Markowetz

When estimating a phylogeny from a multiple sequence alignment, researchers often assume the absence of recombination. However, if recombination is present, then tree estimation and all downstream analyses will be impacted, because…

Phylogenomics commonly aims to construct evolutionary trees from genomic sequence information. One way to approach this problem is to first estimate event-labeled gene trees (i.e., rooted trees whose non-leaf vertices are labeled by…

Combinatorics · Mathematics 2019-05-09 Marc Hellmuth , Katharina T. Huber , Vincent Moulton

In cancer research, clustering techniques are widely used for exploratory analyses and dimensionality reduction, playing a critical role in the identification of novel cancer subtypes, often with direct implications for patient management.…