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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

Phylogenies (ancestry trees) depict the evolutionary history of an evolving population. In evolutionary computing, a phylogeny can reveal how an evolutionary algorithm steers a population through a search space, illuminating the…

Neural and Evolutionary Computing · Computer Science 2023-06-08 Alexander Lalejini , Matthew Andres Moreno , Jose Guadalupe Hernandez , Emily Dolson

Selective inference is considered for testing trees and edges in phylogenetic tree selection from molecular sequences. This improves the previously proposed approximately unbiased test by adjusting the selection bias when testing many trees…

Applications · Statistics 2019-05-27 Hidetoshi Shimodaira , Yoshikazu Terada

For a model of molecular evolution to be useful for phylogenetic inference, the topology of evolutionary trees must be identifiable. That is, from a joint distribution the model predicts, it must be possible to recover the tree parameter.…

Populations and Evolution · Quantitative Biology 2011-11-09 Elizabeth S. Allman , John A. Rhodes

Tree alignment graphs (TAGs) provide an intuitive data structure for storing phylogenetic trees that exhibits the relationships of the individual input trees and can potentially account for nested taxonomic relationships. This paper…

Data Structures and Algorithms · Computer Science 2015-03-16 Ruchi Chaudhary , David Fernandez-Baca , J. Gordon Burleigh

The perfect phylogeny mixture (PPM) model is useful due to its simplicity and applicability in scenarios where mutations can be assumed to accumulate monotonically over time. It is the underlying model in many tools that have been used, for…

Populations and Evolution · Quantitative Biology 2026-01-01 John Marangola , Azadeh Sheikholeslami , José Bento

Driven by the need for better models that allow one to shed light into the question how life's diversity has evolved, phylogenetic networks have now joined phylogenetic trees in the center of phylogenetics research. Like phylogenetic trees,…

Combinatorics · Mathematics 2016-10-04 Philippe Gambette , Katharina T. Huber

Phylogenetic trees in genetics and biology in general are all binary. We make an attempt to answer one fundamental question: Is such binary branching from the coarsest to the finest scales sustained by data? We convert this question into an…

Methodology · Statistics 2018-01-29 Tania Roy , Hsieh Fushing , Xunde Li , Brenda McCowan , Rob Atwill

In evolutionary biology, networks are becoming increasingly used to represent evolutionary histories for species that have undergone non-treelike or reticulate evolution. Such networks are essentially directed acyclic graphs with a leaf set…

Populations and Evolution · Quantitative Biology 2023-08-23 Katharina T. Huber , Leo van Iersel , Vincent Moulton , Guillaume Scholz

Polyploidization is an evolutionary process by which a species acquires multiple copies of its complete set of chromosomes. The reticulate nature of the signal left behind by it means that phylogenetic networks offer themselves as a…

Populations and Evolution · Quantitative Biology 2023-02-21 Katharina T. Huber , Liam J. Maher

With growing exchanges of people and merchandise between countries, epidemics have become an issue of increasing importance and huge amounts of data are being collected every day. Hence, analyses that were usually run in personal computers…

Populations and Evolution · Quantitative Biology 2021-01-19 Bruno Lourenço

Phylogenetic inference, grounded in molecular evolution models, is essential for understanding the evolutionary relationships in biological data. Accounting for the uncertainty of phylogenetic tree variables, which include tree topologies…

Machine Learning · Computer Science 2023-12-04 Takahiro Mimori , Michiaki Hamada

Rooted binary perfect phylogenies provide a generalization of rooted binary unlabeled trees in which each leaf is assigned a positive integer value that corresponds in a biological setting to the count of the number of indistinguishable…

Populations and Evolution · Quantitative Biology 2024-10-22 Chloe E. Shiff , Noah A. Rosenberg

The need for structures capable of accommodating complex evolutionary signals such as those found in, for example, wheat has fueled research into phylogenetic networks. Such structures generalize the standard phylogenetic tree model by also…

Combinatorics · Mathematics 2015-11-30 Philippe Gambette , Katharina T. Huber , Guillaume E. Scholz

The Tree of Life is the graphical structure that represents the evolutionary process from single-cell organisms at the origin of life to the vast biodiversity we see today. Reconstructing this tree from genomic sequences is challenging due…

Populations and Evolution · Quantitative Biology 2020-10-06 Claudia Solis-Lemus , Arrigo Coen , Cecile Ane

Phylogenetic trees are the fundamental mathematical representation of evolutionary processes in biology. They are also objects of interest in pure mathematics, such as algebraic geometry and combinatorics, due to their discrete geometry.…

Metric Geometry · Mathematics 2022-07-01 Anthea Monod , Bo Lin , Ruriko Yoshida , Qiwen Kang

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

Gene tree/species tree reconciliation is a recent decisive progress in phylo-genetic methods, accounting for the possible differences between gene histories and species histories. Reconciliation consists in explaining these differences by…

Quantitative Methods · Quantitative Biology 2017-10-05 Damir Hasic , Eric Tannier

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

Pedigree graphs, or family trees, are typically constructed by an expensive process of examining genealogical records to determine which pairs of individuals are parent and child. New methods to automate this process take as input genetic…

Data Structures and Algorithms · Computer Science 2011-10-19 Bonnie Kirkpatrick , Yakir Reshef , Hilary Finucane , Haitao Jiang , Binhai Zhu , Richard M. Karp
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