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Phylogenetic comparative methods explore the relationships between quantitative traits adjusting for shared evolutionary history. This adjustment often occurs through a Brownian diffusion process along the branches of the phylogeny that…

Methodology · Statistics 2017-01-27 Max R. Tolkoff , Michael L. Alfaro , Guy Baele , Philippe Lemey , Marc A. Suchard

Since the debut of Evolution Strategies (ES) as a tool for Reinforcement Learning by Salimans et al. 2017, there has been interest in determining the exact relationship between the Evolution Strategies gradient and the gradient of a similar…

Neural and Evolutionary Computing · Computer Science 2020-01-07 John C. Raisbeck , Matthew Allen , Ralph Weissleder , Hyungsoon Im , Hakho Lee

An interactive stochastics, evaluated by an entropy functional (EF) of a random field and informational process' path functional (IPF), allows us modeling the evolutionary information processes and revealing regularities of evolution…

Information Theory · Computer Science 2011-09-15 Vladimir S. Lerner

We are facing a real challenge when coping with the continuous acceleration of scientific production and the increasingly changing nature of science. In this article, we extend the classical framework of co-word analysis to the study of…

Physics and Society · Physics 2015-03-13 David Chavalarias , Jean-Philippe Cointet

A self-similar growth-fragmentation describes the evolution of particles that grow and split as time passes. Its genealogy yields a self-similar continuum tree endowed with an intrinsic measure. Extending results of Haas for pure…

Probability · Mathematics 2018-04-13 François G. Ged

In phylogenetics, a central problem is to infer the evolutionary relationships between a set of species $X$; these relationships are often depicted via a phylogenetic tree -- a tree having its leaves univocally labeled by elements of $X$…

Data Structures and Algorithms · Computer Science 2016-04-12 Julien Baste , Christophe Paul , Ignasi Sau , Celine Scornavacca

In abstract terms, ecosystem ecology is about determining when two ecosystems, superficially different, are alike in some deeper way. An external observer can choose any ecosystem property as being important. In contrast, two ecosystems are…

Populations and Evolution · Quantitative Biology 2017-07-12 Matthew Spencer

Comparative and evolutive ecologists are interested in the distribution of quantitative traits among related species. The classical framework for these distributions consists of a random process running along the branches of a phylogenetic…

Applications · Statistics 2017-08-24 Paul Bastide , Mahendra Mariadassou , Stéphane Robin

The Robinson-Foulds (RF) metric is arguably the most widely used measure of phylogenetic tree similarity, despite its well-known shortcomings: For example, moving a single taxon in a tree can result in a tree that has maximum distance to…

Data Structures and Algorithms · Computer Science 2013-08-02 Sebastian Böcker , Stefan Canzar , Gunnar W. Klau

Phylogenetic tree reconstruction is traditionally based on multiple sequence alignments (MSAs) and heavily depends on the validity of this information bottleneck. With increasing sequence divergence, the quality of MSAs decays quickly.…

Populations and Evolution · Quantitative Biology 2011-01-11 Roland F. Schwarz , William Fletcher , Frank Förster , Benjamin Merget , Matthias Wolf , Jörg Schultz , Florian Markowetz

Metrics on rooted phylogenetic trees are integral to a number of areas of phylogenetic analysis. Cluster-similarity metrics have recently been introduced in order to limit skew in the distribution of distances, and to ensure that trees in…

Populations and Evolution · Quantitative Biology 2019-11-26 Michael Hendriksen , Andrew Francis

Staged trees are a recently-developed, powerful family of probabilistic graphical models. An equivalence class of staged trees has now been characterised, and two fundamental statistical operators have been defined to traverse the…

Methodology · Statistics 2023-01-18 Conor Hughes , Peter Strong , Aditi Shenvi

Construction of phylogenetic trees and networks for extant species from their characters represents one of the key problems in phylogenomics. While solution to this problem is not always uniquely defined and there exist multiple methods for…

Populations and Evolution · Quantitative Biology 2016-08-10 Nikita Alexeev , Max A. Alekseyev

Tree balance plays an important role in phylogenetics and other research areas, which is why several indices to measure tree balance have been introduced over the years. Nevertheless, a formal definition of what a balance index actually is…

Populations and Evolution · Quantitative Biology 2023-11-10 Mareike Fischer , Lina Herbst , Sophie Kersting , Luise Kühn , Kristina Wicke

Cohort Shapley value is a model-free method of variable importance grounded in game theory that does not use any unobserved and potentially impossible feature combinations. We use it to evaluate algorithmic fairness, using the well known…

Machine Learning · Computer Science 2021-05-20 Masayoshi Mase , Art B. Owen , Benjamin B. Seiler

Evolutionary models used for describing molecular sequence variation suppose that at a non-recombining genomic segment, sequences share ancestry that can be represented as a genealogy--a rooted, binary, timed tree, with tips corresponding…

Populations and Evolution · Quantitative Biology 2021-08-19 Julia A. Palacios , Anand Bhaskar , Filippo Disanto , Noah A. Rosenberg

Ordered leaf attachment, Phylo2Vec, and HOP are three recently introduced vector representations for rooted phylogenetic trees where the representation is determined by an ordering of the underlying leaf set X. Comparing the vectors of two…

Populations and Evolution · Quantitative Biology 2025-07-16 Simone Linz , Katherine St. John , Charles Semple , Kristina Wicke

We compare three basic kinds of discrete mathematical models used to portray phylogenetic relationships among species and higher taxa: phylogenetic trees, Hennig trees and Nelson cladograms. All three models are trees, as that term is…

Populations and Evolution · Quantitative Biology 2011-10-05 Jeremy L. Martin , E. O. Wiley

Phylogenetic trees summarize evolutionary relationships between organisms, and tools to analyze collections of phylogenetic trees enable contrasts between different genes' ancestry. The BHV metric space has enabled the analysis of…

Quantitative Methods · Quantitative Biology 2026-04-24 Maria Alejandra Valdez Cabrera , Amy D Willis

The origin of diversification and coexistence of genes and species have been traditionally studied in isolated biological levels. Ecological and evolutionary views have focused on the mechanisms that enable or constrain species coexistence,…

Populations and Evolution · Quantitative Biology 2008-07-18 Carlos J. Melian , David Alonso , Diego P. Vazquez , James Regetz
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