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A major task of evolutionary biology is the reconstruction of phylogenetic trees from molecular data. The evolutionary model is given by a Markov chain on a tree. Given samples from the leaves of the Markov chain, the goal is to reconstruct…

Probability · Mathematics 2011-09-30 Constantinos Daskalakis , Elchanan Mossel , Sebastien Roch

In this paper, we characterize the structure and topological indices of a class of random spider trees (RSTs) such as degree-based Gini index, degree-based Hoover index, generalized Zagreb index and other indices associated with these. We…

Probability · Mathematics 2022-04-25 Saylé C. Sigarreta , Saylí M. Sigarreta , Hugo Cruz-Suárez

Probability estimation is one of the fundamental tasks in statistics and machine learning. However, standard methods for probability estimation on discrete objects do not handle object structure in a satisfactory manner. In this paper, we…

Applications · Statistics 2018-11-06 Cheng Zhang , Frederick A. Matsen

Given a gene-tree labeled topology $G$ and a species tree $S$, the "ancestral configurations" at an internal node $k$ of $S$ represent the combinatorially different sets of gene lineages that can be present at $k$ when all possible…

We derive tractable criteria for the consistency of Bayesian tree reconstruction procedures, which constitute a central class of algorithms for inferring common ancestry among DNA sequence samples in phylogenetics. Our results encompass…

Statistics Theory · Mathematics 2025-08-05 Alisa Kirichenko , Luke J. Kelly , Jere Koskela

The comparison of alternative rankings of a set of items is a general and prominent task in applied statistics. Predictor variables are ranked according to magnitude of association with an outcome, prediction models rank subjects according…

The study of species organization and their clustering by genetic or phenotypic similarity is carried out with the tools of phylogenetic trees. An important structural property of phylogenetic trees is the balance, which measures how taxa…

Populations and Evolution · Quantitative Biology 2020-09-01 T. Araújo Lima , Flavia M. D. Marquitti , Marcus A. M. de Aguiar

Statistical inference of evolutionary parameters from molecular sequence data relies on coalescent models to account for the shared genealogical ancestry of the samples. However, inferential algorithms do not scale to available data sets. A…

Applications · Statistics 2019-09-10 Lorenzo Cappello , Julia A. Palacios

In context-aware trust evaluation, using ontology tree is a popular approach to represent the relation between contexts. Usually, similarity between two contexts is computed using these trees. Therefore, the performance of trust evaluation…

Other Computer Science · Computer Science 2014-04-18 Mohsen Raeesi , Mohammad Amin Morid , Mehdi Shajari

We consider the reconciliation problem, in which the task is to find a mapping of a gene tree into a species tree, so as to maximize the likelihood of such fitting, given the available data. We describe a model for the evolution of the…

Populations and Evolution · Quantitative Biology 2023-11-09 Albert C. Soewongsono , Jiahao Diao , Tristan Stark , Amanda E. Wilson , David A. Liberles , Barbara R. Holland , Malgorzata M. O'Reilly

A compositional tree refers to a tree structure on a set of random variables where each random variable is a node and composition occurs at each non-leaf node of the tree. As a generalization of compositional data, compositional trees…

Methodology · Statistics 2021-04-20 Bingkai Wang , Brian S. Caffo , Xi Luo , Chin-Fu Liu , Andreia V. Faria , Michael I. Miller , Yi Zhao

Phylogenetic comparative methods are well established tools for using inter-species variation to analyse phenotypic evolution and adaptation. They are generally hampered, however, by predominantly univariate approaches and failure to…

Populations and Evolution · Quantitative Biology 2024-12-13 Krzysztof Bartoszek

Tree-based methods are popular nonparametric tools in studying time-to-event outcomes. In this article, we introduce a novel framework for survival trees and ensembles, where the trees partition the dynamic survivor population and can…

Methodology · Statistics 2020-01-14 Yifei Sun , Sy Han Chiou , Mei-Cheng Wang

Motivation: The construction of statistics for summarizing posterior samples returned by a Bayesian phylogenetic study has so far been hindered by the poor geometric insights available into the space of phylogenetic trees, and ad hoc…

Applications · Statistics 2014-10-13 Philipp Benner , Miroslav Bacak , Pierre-Yves Bourguignon

The statistical estimation of phylogenies is always associated with uncertainty, and accommodating this uncertainty is an important component of modern phylogenetic comparative analysis. The birth-death polytomy resolver is a method of…

Quantitative Methods · Quantitative Biology 2015-03-18 Daniel L. Rabosky

Efforts to reconstruct phylogenetic trees and understand evolutionary processes depend fundamentally on stochastic models of speciation and mutation. The simplest continuous-time model for speciation in phylogenetic trees is the Yule…

Populations and Evolution · Quantitative Biology 2014-08-18 Willem H. Mulder , Forrest W. Crawford

Tree ensembles are non-parametric methods widely recognized for their accuracy and ability to capture complex interactions. While these models excel at prediction, they are difficult to interpret and may fail to uncover useful relationships…

Machine Learning · Statistics 2026-04-01 Brian Liu , Rahul Mazumder , Peter Radchenko

In recent years, dynamically growing data and incrementally growing number of classes pose new challenges to large-scale data classification research. Most traditional methods struggle to balance the precision and computational burden when…

Machine Learning · Computer Science 2016-11-01 Tingting Xie , Yuxing Peng , Changjian Wang

Tree-based ensemble methods such as random forests, gradient-boosted trees, and Bayesianadditive regression trees have been successfully used for regression problems in many applicationsand research studies. In this paper, we study ensemble…

Machine Learning · Statistics 2024-06-21 Alexandre Seiller , Éric Gaussier , Emilie Devijver , Marianne Clausel , Sami Alkhoury

The history of gene families -- which are equivalent to event-labeled gene trees -- can to some extent be reconstructed from empirically estimated evolutionary event-relations containing pairs of orthologous, paralogous or xenologous genes.…

Discrete Mathematics · Computer Science 2019-10-30 Manuel Lafond , Marc Hellmuth
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