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Recent work has proven the existence of extreme inbreeding in a European ancestry sample taken from the contemporary UK population \cite{nature_01}. This result brings our attention again to a math problem related to inbreeding family trees…

Populations and Evolution · Quantitative Biology 2021-09-08 C. Jarne , F A. Gómez Albarracín , M. Caruso

Phylogenetic trees are simple models of evolutionary processes. They describe conditionally independent divergent evolution of taxa from common ancestors. Phylogenetic trees commonly do not have enough flexibility to adequately model all…

Populations and Evolution · Quantitative Biology 2025-11-11 Jonathan D. Mitchell , Barbara R. Holland

Probabilistic programming frameworks are powerful tools for statistical modelling and inference. They are not immediately generalisable to phylogenetic problems due to the particular computational properties of the phylogenetic tree object.…

Populations and Evolution · Quantitative Biology 2022-11-11 Christiaan Swanepoel , Mathieu Fourment , Xiang Ji , Hassan Nasif , Marc A Suchard , Frederick A Matsen , Alexei Drummond

Biological tree (BioTree) analysis is a foundational tool in biology, enabling the exploration of evolutionary and differentiation relationships among organisms, genes, and cells. Traditional tree construction methods, while instrumental in…

Populations and Evolution · Quantitative Biology 2025-02-18 Zelin Zang , Yongjie Xu , Chenrui Duan , Yue Yuan , Jinlin Wu , Zhen Lei , Stan Z. Li

Longitudinal molecular data of rapidly evolving viruses and pathogens provide information about disease spread and complement traditional surveillance approaches based on case count data. The coalescent is used to model the genealogy that…

Applications · Statistics 2020-09-07 Lorenzo Cappello , Julia A. Palacios

The reconstruction of transmission trees for epidemics from genetic data has been the subject of some recent interest. It has been demonstrated that the transmission tree structure can be investigated by augmenting internal nodes of a…

Populations and Evolution · Quantitative Biology 2016-01-07 Matthew Hall , Andrew Rambaut

One of the important questions in biological evolution is to know if certain changes along protein coding genes have contributed to the adaptation of species. This problem is known to be biologically complex and computationally very…

Distributed, Parallel, and Cluster Computing · Computer Science 2012-03-15 Sébastien Moretti , Riccardo Murri , Sergio Maffioletti , Arnold Kuzniar , Briséïs Castella , Nicolas Salamin , Marc Robinson-Rechavi , Heinz Stockinger

Background: Coevolution within a protein family is often predicted using statistics that measure the degree of covariation between positions in the protein sequence. Mutual Information is a measure of dependence between two random variables…

Populations and Evolution · Quantitative Biology 2013-04-17 Russell J. Dickson , Gregory B. Gloor

In Bayesian phylogenetics, our goal is to estimate the posterior distribution over phylogenetic trees. Markov chain Monte Carlo methods are widely used to approximate the phylogenetic posterior distributions. For large-scale sequence data,…

Methodology · Statistics 2026-05-12 Wentao Yu , Shijia Wang

Bayesian phylogenetics is vital for understanding evolutionary dynamics, and requires accurate and efficient approximation of posterior distributions over trees. In this work, we develop a variational Bayesian approach for ultrametric…

Machine Learning · Statistics 2026-02-16 Evan Sidrow , Alexandre Bouchard-Côté , Lloyd T. Elliott

Background: The reconstruction of the phylogenetic tree topology of four taxa is, still nowadays, one of the main challenges in phylogenetics. Its difficulties lie in considering not too restrictive evolutionary models, and correctly…

Populations and Evolution · Quantitative Biology 2014-06-19 Esther Ibáñez , Marta Casanellas

Survival analysis concerns the task of predicting the time until an event occurs. Often used in the medical field, survival analysis deals with incomplete (i.e., censored) data, for instance, from patients who did not experience the event…

Machine Learning · Computer Science 2026-05-29 Thalea Schlender , Peter A. N. Bosman , Tanja Alderliesten

We consider the problem of estimating the evolutionary history of a set of species (phylogeny or species tree) from several genes. It is known that the evolutionary history of individual genes (gene trees) might be topologically distinct…

Populations and Evolution · Quantitative Biology 2016-11-18 Gautam Dasarathy , Robert Nowak , Sebastien Roch

Phylogenetic methods typically rely on an appropriate model of how data evolved in order to infer an accurate phylogenetic tree. For molecular data, standard statistical methods have provided an effective strategy for extracting…

Populations and Evolution · Quantitative Biology 2015-01-21 Robert W. Scotland , Mike Steel

Many biological studies involve inferring the evolutionary history of a sample of individuals from a large population and interpreting the reconstructed tree. Such an ascertained tree typically represents only a small part of a…

Populations and Evolution · Quantitative Biology 2024-08-13 Michael Celentano , William S. DeWitt , Sebastian Prillo , Yun S. Song

Phylogeny is the field of modelling the temporal discrete dynamics of speciation. Complex models can nowadays be studied using the Approximate Bayesian Computation approach which avoids likelihood calculations. The field's progression is…

Populations and Evolution · Quantitative Biology 2020-11-23 Krzysztof Bartoszek , Pietro Liò

A Bialgebra is a module over a ring that is both an associative algebra and a co-associative coalgebra with the product and coproduct additionally satisfying an appropriate commutative relationship. One application of Bialgebras is in the…

Probability · Mathematics 2025-04-04 William Salkeld

This paper proposes a regression tree procedure to estimate conditional copulas. The associated algorithm determines classes of observations based on covariate values and fits a simple parametric copula model on each class. The association…

Statistics Theory · Mathematics 2024-03-20 Francesco Bonacina , Olivier Lopez , Maud Thomas

Because biological processes can make different loci have different evolutionary histories, species tree estimation requires multiple loci from across the genome. While many processes can result in discord between gene trees and species…

Quantitative Methods · Quantitative Biology 2018-03-13 Md. Shamsuzzoha Bayzid , Siavash Mirarab , Bastien Boussau , Tandy Warnow

This letter introduced a new R package 'coexist' which can perform species coexistence simulation and analysis. The package was initially developed for understanding the role of different combinations of varying species growth rates,…

Populations and Evolution · Quantitative Biology 2014-04-11 Youhua Chen
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