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Phylogenetics, the inference of evolutionary trees from molecular sequence data such as DNA, is an enterprise that yields valuable evolutionary understanding of many biological systems. Bayesian phylogenetic algorithms, which approximate a…

Populations and Evolution · Quantitative Biology 2016-10-27 Vu Dinh , Aaron E. Darling , Frederick A. Matsen

Gene trees are evolutionary trees representing the ancestry of genes sampled from multiple populations. Species trees represent populations of individuals -- each with many genes -- splitting into new populations or species. The coalescent…

Populations and Evolution · Quantitative Biology 2010-07-30 Elizabeth S. Allman , James H. Degnan , John A. Rhodes

The k-means clustering algorithm is a popular algorithm that partitions data into k clusters. There are many improvements to accelerate the standard algorithm. Most current research employs upper and lower bounds on point-to-cluster…

Machine Learning · Computer Science 2024-10-22 Andreas Lang , Erich Schubert

Simple stochastic models for phylogenetic trees on species have been well studied. But much paleontology data concerns time series or trees on higher-order taxa, and any broad picture of relationships between extant groups requires use of…

Populations and Evolution · Quantitative Biology 2007-08-28 David Aldous , Maxim Krikun , Lea Popovic

Hierarchical clustering is a stronger extension of one of today's most influential unsupervised learning methods: clustering. The goal of this method is to create a hierarchy of clusters, thus constructing cluster evolutionary history and…

Data Structures and Algorithms · Computer Science 2021-01-14 MohammadTaghi Hajiaghayi , Marina Knittel

In order to conduct a statistical analysis on a given set of phylogenetic gene trees, we often use a distance measure between two trees. In a statistical distance-based method to analyze discordance between gene trees, it is a key to decide…

Populations and Evolution · Quantitative Biology 2016-02-05 Jing Xi , Jin Xie , Ruriko Yoshida

In evolutionary biology, the speciation history of living organisms is represented graphically by a phylogeny, that is, a rooted tree whose leaves correspond to current species and branchings indicate past speciation events. Phylogenies are…

Populations and Evolution · Quantitative Biology 2019-08-02 Wai-Tong Louis Fan , Sebastien Roch

Clustering is one of the most fundamental and wide-spread techniques in exploratory data analysis. Yet, the basic approach to clustering has not really changed: a practitioner hand-picks a task-specific clustering loss to optimize and fit…

Machine Learning · Computer Science 2019-11-01 Yibo Jiang , Nakul Verma

Phylogenomics heavily relies on well-curated sequence data sets that consist, for each gene, exclusively of 1:1-orthologous. Paralogs are treated as a dangerous nuisance that has to be detected and removed. We show here that this severe…

Discrete Mathematics · Computer Science 2017-12-19 Marc Hellmuth , Nicolas Wieseke , Marcus Lechner , Hans-Peter Lenhof , Martin Middendorf , Peter F. Stadler

Analyses of targeted genomic sequencing data from next-generation-sequencing (NGS) technologies typically involves mapping reads to a reference sequence or clustering reads. For a number of species a reference genome is not available so the…

Genomics · Quantitative Biology 2016-02-16 Raunaq Malhotra , Daniel Elleder , Le Bao , David R Hunter , Raj Acharya , Mary Poss

Hierarchical structure is ubiquitous in data across many domains. There are many hierarchical clustering methods, frequently used by domain experts, which strive to discover this structure. However, most of these methods limit discoverable…

Machine Learning · Computer Science 2012-03-19 Charles Blundell , Yee Whye Teh , Katherine A. Heller

We propose a hierarchical correlation clustering method that extends the well-known correlation clustering to produce hierarchical clusters applicable to both positive and negative pairwise dissimilarities. Then, in the following, we study…

Machine Learning · Computer Science 2025-02-04 Morteza Haghir Chehreghani , Mostafa Haghir Chehreghani

Given a gene tree and a species tree, ancestral configurations represent the combinatorially distinct sets of gene lineages that can reach a given node of the species tree. They have been introduced as a data structure for use in the…

Populations and Evolution · Quantitative Biology 2016-10-25 Filippo Disanto , Noah A. Rosenberg

Validating interpretable surrogate models for ensemble learners requires measuring agreement between the ensemble's internal representation and its surrogate approximation, rather than mere association. Correlation-based approaches are…

Machine Learning · Computer Science 2026-05-20 Massimo Aria , Agostino Gnasso , Carmela Iorio

Convex clustering is a modern clustering framework that guarantees globally optimal solutions and performs comparably to other advanced clustering methods. However, obtaining a complete dendrogram (clusterpath) for large-scale datasets…

Machine Learning · Computer Science 2025-04-01 Bingyuan Zhang , Yoshikazu Terada

The rapid development of high-throughput sequencing technologies has led to an explosive increase in biological sequence data, making sequence clustering a fundamental task in large-scale bioinformatics analyses. Unlike traditional…

Genomics · Quantitative Biology 2026-01-22 Simeng Zhang , Xinying Liu , Jun Lou , Mudi Jiang , Quan Zou , Zengyou He

An evolutionary tree (phylogenetic tree) is a binary, rooted, unordered tree that models the evolutionary history of currently living species in which leaves are labeled by species. In this paper, we investigate the problem of finding the…

Populations and Evolution · Quantitative Biology 2013-04-02 Soheil Jahangiri Tazehkand , Seyed Naser Hashemi , Hadi Poormohammadi

Understanding the patterns and processes of diversification of life in the planet is a key challenge of science. The Tree of Life represents such diversification processes through the evolutionary relationships among the different taxa, and…

Populations and Evolution · Quantitative Biology 2011-06-16 E. Alejandro Herrada , Claudio J. Tessone , Konstantin Klemm , Victor M. Eguiluz , Emilio Hernandez-Garcia , Carlos M. Duarte

A novel method to obtain hierarchical and overlapping clusters from network data -i.e., a set of nodes endowed with pairwise dissimilarities- is presented. The introduced method is hierarchical in the sense that it outputs a nested…

Social and Information Networks · Computer Science 2017-12-13 Fernando Gama , Santiago Segarra , Alejandro Ribeiro

Phylogenetic networks are a generalization of phylogenetic trees that allow for the representation of non-treelike evolutionary events, like recombination, hybridization, or lateral gene transfer. In a recent series of papers devoted to the…

Populations and Evolution · Quantitative Biology 2007-07-17 Gabriel Cardona , Francesc Rossello , Gabriel Valiente