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Causal inference approaches in systems genetics exploit quantitative trait loci (QTL) genotypes to infer causal relationships among phenotypes. The genetic architecture of each phenotype may be complex, and poorly estimated genetic…

Applications · Statistics 2010-10-08 Elias Chaibub Neto , Mark P. Keller , Alan D. Attie , Brian S. Yandell

We consider the phylogenetic tree reconstruction problem with insertions and deletions (indels). Phylogenetic algorithms proceed under a model where sequences evolve down the model tree, and given sequences at the leaves, the problem is to…

Data Structures and Algorithms · Computer Science 2019-02-22 Arun Ganesh , Qiuyi Zhang

Phylogenetic networks are directed acyclic graphs that depict the genomic evolution of related taxa. Reticulation nodes in such networks (nodes with more than one parent) represent reticulate evolutionary events, such as recombination,…

Populations and Evolution · Quantitative Biology 2024-11-21 Alexey Markin , Sriram Vijendran , Oliver Eulenstein

Phylogenetic trees describe the relationships between species in the evolutionary process, and provide information about the rates of diversification. To understand the mechanisms behind macroevolution, we consider a class of multitype…

Populations and Evolution · Quantitative Biology 2024-10-07 Mingqi He , Sophie Hautphenne , Yao-ban Chan

We investigated testing the likelihood of a phylogenetic tree by comparison to its subtree pruning and regrafting (SPR) neighbors, with or without re-optimizing branch lengths. This is inspired by aspects of Bayesian significance tests, and…

Applications · Statistics 2014-07-30 Thurston H. Y. Dang , Elchanan Mossel

Phylogenetic networks are a generalization of phylogenetic trees to leaf-labeled directed acyclic graphs that represent ancestral relationships between species whose past includes non-tree-like events such as hybridization and horizontal…

Combinatorics · Mathematics 2021-04-13 Janosch Döcker , Simone Linz , Charles Semple

The marginal likelihood of a model is a key quantity for assessing the evidence provided by the data in support of a model. The marginal likelihood is the normalizing constant for the posterior density, obtained by integrating the product…

Populations and Evolution · Quantitative Biology 2018-11-30 Mathieu Fourment , Andrew F. Magee , Chris Whidden , Arman Bilge , Frederick A. Matsen , Vladimir N. Minin

In evolutionary biology, phylogenetic networks are now widely used to represent the historical relationships between species and population, when this history includes reticulation events such as hybridization, gene flow and admixture…

Combinatorics · Mathematics 2026-05-08 Gerard Ribas , Joan Carles Pons , Cécile Ané

Phylogenetic networks generalize phylogenetic trees in order to model reticulation events. Although the comparison of phylogenetic trees is well studied, and there are multiple ways to do it in an efficient way, the situation is much…

Populations and Evolution · Quantitative Biology 2023-02-21 Gabriel Cardona , Joan Carles Pons , Gerard Ribas , Tomás Martínez Coronado

Bayesian inference methods rely on numerical algorithms for both model selection and parameter inference. In general, these algorithms require a high computational effort to yield reliable estimates. One of the major challenges in…

Quantitative Methods · Quantitative Biology 2018-08-09 Patricio Maturana , Brendon J. Brewer , Steffen Klaere , Remco Bouckaert

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

A common problem in phylogenetics is to try to infer a species phylogeny from gene trees. We consider different variants of this problem. The first variant, called Unrestricted Minimal Episodes Inference, aims at inferring a species tree…

Populations and Evolution · Quantitative Biology 2019-08-12 Leo van Iersel , Remie Janssen , Mark Jones , Yukihiro Murakami , Norbert Zeh

A model of genomic sequence evolution on a species tree should include not only a sequence substitution process, but also a coalescent process, since different sites may evolve on different gene trees due to incomplete lineage sorting.…

Populations and Evolution · Quantitative Biology 2023-03-15 Elizabeth A. Allman , Colby Long , John A. Rhodes

Evolutionary events such as incomplete lineage sorting and lateral gene transfer constitute major problems for inferring species trees from gene trees, as they can sometimes lead to gene trees which conflict with the underlying species…

Populations and Evolution · Quantitative Biology 2013-04-23 Andreas Sand , Mike Steel

Recently there has been renewed interest in phylogenetic inference methods based on phylogenetic invariants, alongside the related Markov invariants. Broadly speaking, both these approaches give rise to polynomial functions of sequence site…

Quantitative Methods · Quantitative Biology 2017-03-31 Jeremy G Sumner , Amelia Taylor , Barbara R Holland , Peter D Jarvis

The ongoing explosion of genome sequence data is transforming how we reconstruct and understand the histories of biological systems. Across biological scales, from individual cells to populations and species, trees-based models provide a…

Populations and Evolution · Quantitative Biology 2025-12-08 Yun Deng , Shing H. Zhan , Yulin Zhang , Chao Zhang , Bingjie Chen

The Persistent-Phylogeny Model is an extension of the widely studied Perfect-Phylogeny Model, encompassing a broader range of evolutionary phenomena. Biological and algorithmic questions concerning persistent phylogeny have been intensely…

Populations and Evolution · Quantitative Biology 2015-06-03 Dan Gusfield

In this paper we present a new way to understand the timing of branching events in phylogenetic trees. Our method explicitly considers the relative timing of diversification events between sister clades; as such it is complimentary to…

Populations and Evolution · Quantitative Biology 2008-03-12 Daniel Ford , Tanja Gernhard , Frederick Matsen

Ecological networks offer powerful insights into community function, but without first characterizing these networks accurately, our ability to detect and interpret changes under environmental stress is limited. We develop an approach to…

Methodology · Statistics 2025-11-19 Jennifer N. Kampe , Camille M. M. DeSisto , David B. Dunson

A phylogenetic birth-and-death model is a probabilistic graphical model for a so-called phylogenetic profile, i.e., the size distribution for a homolog gene family at the terminal nodes of a phylogeny. Profile datasets are used in…

Populations and Evolution · Quantitative Biology 2009-02-06 Miklós Csűrös , István Miklós