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Phylogenetic networks are necessary to represent the tree of life expanded by edges to represent events such as horizontal gene transfers, hybridizations or gene flow. Not all species follow the paradigm of vertical inheritance of their…

Populations and Evolution · Quantitative Biology 2016-02-15 Claudia Solís-Lemus , Cécile Ané

A phylogenetic variety is an algebraic variety parameterized by a statistical model of the evolution of biological sequences along a tree. Understanding this variety is an important problem in the area of algebraic statistics with…

Populations and Evolution · Quantitative Biology 2024-05-22 Luis David Garcia Puente , Marina Garrote-López , Elima Shehu

Tree structures appear in many fields of the life sciences, including phylogenetics, developmental biology and nucleic acid structures. Trees can be used to represent RNA secondary structures, which directly relate to the function of…

Machine Learning · Computer Science 2026-01-22 Pengyu Liu , Mariel Vázquez , Nataša Jonoska

The inference of new information on the relatedness of species by phylogenetic trees based on DNA data is one of the main challenges of modern biology. But despite all technological advances, DNA sequencing is still a time-consuming and…

Populations and Evolution · Quantitative Biology 2015-03-19 Mareike Fischer

Rooted phylogenetic networks provide an explicit representation of the evolutionary history of a set $X$ of sampled species. In contrast to phylogenetic trees which show only speciation events, networks can also accommodate reticulate…

Combinatorics · Mathematics 2021-01-01 Peter L. Erdos , Charles Semple , Mike Steel

Binary phylogenetic trees inferred from biological data are central to understanding the shared history among evolutionary units. However, inferring the placement of latent nodes in a tree is computationally expensive. State-of-the-art…

Populations and Evolution · Quantitative Biology 2025-03-26 Matthew J Penn , Neil Scheidwasser , Mark P Khurana , David A Duchêne , Christl A Donnelly , Samir Bhatt

In this work, we answer an open problem in the study of phylogenetic networks. Phylogenetic trees are rooted binary trees in which all edges are directed away from the root, whereas phylogenetic networks are rooted acyclic digraphs. For the…

Populations and Evolution · Quantitative Biology 2015-11-12 Andreas D. M. Gunawan , Bhaskar DasGupta , Louxin Zhang

Evolutionary relationships between species are represented by phylogenetic trees, but these relationships are subject to uncertainty due to the random nature of evolution. A geometry for the space of phylogenetic trees is necessary in order…

Statistics Theory · Mathematics 2022-09-21 Jonas Lueg , Maryam K. Garba , Tom M. W. Nye , Stephan F. Huckemann

Horizontal gene transfer (HGT) is an important process in bacterial evolution. Current phylogeny-based approaches to capture it cannot however appropriately account for the fact that HGT can occur between bacteria living in different…

Populations and Evolution · Quantitative Biology 2025-03-31 Katharina T. Huber , Darren Overman

The evolutionary relationships among organisms have traditionally been represented using rooted phylogenetic trees. However, due to reticulate processes such as hybridization or lateral gene transfer, evolution cannot always be adequately…

Populations and Evolution · Quantitative Biology 2022-01-20 Sungsik Kong , Joan Carles Pons , Laura Kubatko , Kristina Wicke

Reconstructing pathogen dynamics from genetic data as they become available during an outbreak or epidemic represents an important statistical scenario in which observations arrive sequentially in time and one is interested in performing…

Populations and Evolution · Quantitative Biology 2020-02-04 Mandev S. Gill , Philippe Lemey , Marc A. Suchard , Andrew Rambaut , Guy Baele

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

Phylogenetics is the study of the evolutionary relationships between organisms. One of the main challenges in the field is to take biological data for a group of organisms and to infer an evolutionary tree, a graph that represents these…

Populations and Evolution · Quantitative Biology 2019-06-05 Elizabeth Gross , Colby Long , Joseph Rusinko

Inferring dependencies between complex biological traits while accounting for evolutionary relationships between specimens is of great scientific interest yet remains infeasible when trait and specimen counts grow large. The…

Due to their accuracies, methods based on ensembles of regression trees are a popular approach for making predictions. Some common examples include Bayesian additive regression trees, boosting and random forests. This paper focuses on…

Methodology · Statistics 2019-11-15 Suofei Wu , Jan Hannig , Thomas C. M. Lee

The amount of completely sequenced chloroplast genomes increases rapidly every day, leading to the possibility to build large scale phylogenetic trees of plant species. Considering a subset of close plant species defined according to their…

Artificial Intelligence · Computer Science 2015-04-21 Bassam AlKindy , Christophe Guyeux , Jean-François Couchot , Michel Salomon , Christian Parisod , Jacques M. Bahi

Binary trees are fundamental objects in models of evolutionary biology and population genetics. Here, we discuss some of their combinatorial and structural properties as they depend on the tree class considered. Furthermore, the process by…

Populations and Evolution · Quantitative Biology 2021-06-30 Thomas Wiehe

We derive tractable criteria for the consistency of Bayesian tree reconstruction procedures, which constitute a central class of algorithms for inferring common ancestry among DNA sequence samples in phylogenetics. Our results encompass…

Statistics Theory · Mathematics 2025-08-05 Alisa Kirichenko , Luke J. Kelly , Jere Koskela

If predictions for species extinctions hold, then the `tree of life' today may be quite different to that in (say) 100 years. We describe a technique to quantify how much each species is likely to contribute to future biodiversity, as…

Populations and Evolution · Quantitative Biology 2007-05-23 Mike Steel , Aki Mimoto , Arne O. Mooers

Phylogenetic (i.e. leaf-labeled) trees play a fundamental role in evolutionary research. A typical problem is to reconstruct such trees from data like DNA alignments (whose columns are often referred to as characters), and a simple…

Populations and Evolution · Quantitative Biology 2022-09-08 Mareike Fischer
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