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A popular line of research in evolutionary biology is the use of time-calibrated phylogenies for the inference of diversification processes. This requires computing the likelihood of a given ultrametric tree as the reconstructed tree…

Populations and Evolution · Quantitative Biology 2013-01-24 Amaury Lambert , Hélène Morlon , Rampal S. Etienne

Ultrametric trees are trees whose leaves lie at the same distance from the root. They are used to model the genealogy of a population of particles co-existing at the same point in time. We show how the boundary of an ultrametric tree, like…

Probability · Mathematics 2017-02-28 Amaury Lambert

Bayesian Markov chain Monte Carlo explores tree space slowly, in part because it frequently returns to the same tree topology. An alternative strategy would be to explore tree space systematically, and never return to the same topology. In…

Populations and Evolution · Quantitative Biology 2018-11-28 Chris Whidden , Brian C. Claywell , Thayer Fisher , Andrew F. Magee , Mathieu Fourment , Frederick A. Matsen

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

The selection of the most suitable evolutionary model to analyze the given molecular data is usually left to biologist's choice. In his famous book, J Felsenstein suggested that certain linear equations satisfied by the expected…

Populations and Evolution · Quantitative Biology 2012-11-20 Marta Casanellas , Jesus Fernandez-Sanchez , Anna Kedzierska

Designing flexible probabilistic models over tree topologies is important for developing efficient phylogenetic inference methods. To do that, previous works often leverage the similarity of tree topologies via hand-engineered heuristic…

Populations and Evolution · Quantitative Biology 2023-10-17 Tianyu Xie , Cheng Zhang

The presence of reticulate evolutionary events in phylogenies turn phylogenetic trees into phylogenetic networks. These events imply in particular that there may exist multiple evolutionary paths from a non-extant species to an extant one,…

Populations and Evolution · Quantitative Biology 2008-03-21 Gabriel Cardona , Merce Llabres , Francesc Rossello , Gabriel Valiente

Phylogenetic trees constitute an interesting class of objects for stochastic processes due to the non-standard nature of the space they inhabit. In particular, many statistical applications require the construction of Markov processes on…

Probability · Mathematics 2024-10-24 Rodrigo B. Alves , Yuri F. Saporito , Luiz M. Carvalho

Cancers follow a clonal Darwinian evolution, with fitter subclones replacing more quiescent cells, ultimately giving rise to macroscopic disease. High-throughput genomics provides the opportunity to investigate these processes and determine…

Quantitative Methods · Quantitative Biology 2014-10-07 Sakellarios Zairis , Hossein Khiabanian , Andrew J. Blumberg , Raul Rabadan

Structural information of phylogenetic tree topologies plays an important role in phylogenetic inference. However, finding appropriate topological structures for specific phylogenetic inference tasks often requires significant design effort…

Machine Learning · Statistics 2023-02-20 Cheng Zhang

Bayesian phylogenetic inference is currently done via Markov chain Monte Carlo (MCMC) with simple proposal mechanisms. This hinders exploration efficiency and often requires long runs to deliver accurate posterior estimates. In this paper,…

Machine Learning · Statistics 2024-05-24 Cheng Zhang , Frederick A. Matsen

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

One approach in phylogenomics to infer the tree of life is based on concatenated multiple sequence alignments from many genes. Unfortunately, the resulting so-called supermatrix is usually sparse, that is, not every gene sequence is…

Populations and Evolution · Quantitative Biology 2014-11-14 Olga Chernomor , Arndt von Haeseler , Bui Quang Minh

Rooted phylogenetic networks are used by biologists to infer and represent complex evolutionary relationships between species that cannot be accurately explained by a phylogenetic tree. Tree-child networks are a particular class of rooted…

Combinatorics · Mathematics 2024-09-02 Janosch Döcker , Simone Linz

Bayesian inference for phylogenetics is a gold standard for computing distributions of phylogenies. It faces the challenging problem of. moving throughout the high-dimensional space of trees. However, hyperbolic space offers a low…

Populations and Evolution · Quantitative Biology 2023-07-19 Matthew Macaulay , Aaron E. Darling , Mathieu Fourment

Given a distance matrix consisting of pairwise distances between species, a distance-based phylogenetic reconstruction method returns a tree metric or equidistant tree metric (ultrametric) that best fits the data. We investigate…

Combinatorics · Mathematics 2017-02-20 Daniel Irving Bernstein , Colby Long

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

Interpretability is crucial for doctors, hospitals, pharmaceutical companies and biotechnology corporations to analyze and make decisions for high stakes problems that involve human health. Tree-based methods have been widely adopted for…

Machine Learning · Computer Science 2024-05-24 Rui Zhang , Rui Xin , Margo Seltzer , Cynthia Rudin

A classical result, fundamental to evolutionary biology, states that an edge-weighted tree $T$ with leaf set $X$, positive edge weights, and no vertices of degree 2 can be uniquely reconstructed from the set of leaf-to-leaf distances…

Populations and Evolution · Quantitative Biology 2011-07-15 A. W. M. Dress , K. T. Huber , M. Steel

A central theme in phylogenetics is the reconstruction and analysis of evolutionary trees from a given set of data. To determine the optimal search methods for reconstructing trees, it is crucial to understand the size and structure of the…

Populations and Evolution · Quantitative Biology 2016-08-15 Jamie V. de Jong , Jeanette C McLeod , Mike Steel