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Mixture models are widely used in Bayesian statistics and machine learning, in particular in computational biology, natural language processing and many other fields. Variational inference, a technique for approximating intractable…

统计理论 · 数学 2020-08-03 Badr-Eddine Chérief-Abdellatif , Pierre Alquier

An evolutionary tree (phylogenetic tree) is a binary, rooted, unordered tree that models the evolutionary history of currently living species in which leaves are labeled by species. In this paper, we investigate the problem of finding the…

种群与进化 · 定量生物学 2013-04-02 Soheil Jahangiri Tazehkand , Seyed Naser Hashemi , Hadi Poormohammadi

A Bayesian network is a widely used probabilistic graphical model with applications in knowledge discovery and prediction. Learning a Bayesian network (BN) from data can be cast as an optimization problem using the well-known…

人工智能 · 计算机科学 2018-11-14 Zhenyu A. Liao , Charupriya Sharma , James Cussens , Peter van Beek

The reconstruction of a species tree from genomic data faces a double hurdle. First, the (gene) tree describing the evolution of each gene may differ from the species tree, for instance, due to incomplete lineage sorting. Second, the…

种群与进化 · 定量生物学 2021-12-07 Sebastien Roch , Mike Steel

A consensus tree is a phylogenetic tree that synthesizes a given collection of phylogenetic trees, all of which share the same leaf labels but may have different topologies, typically obtained through bootstrapping. Our research focuses on…

种群与进化 · 定量生物学 2025-08-13 Elio Torquet , Jesper Jansson , Nadia Tahiri

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…

种群与进化 · 定量生物学 2024-08-13 Michael Celentano , William S. DeWitt , Sebastian Prillo , Yun S. Song

One approach to estimating a species tree from a collection of gene trees is to first estimate probabilities of clades from the gene trees, and then to construct the species tree from the estimated clade probabilities. While a greedy…

种群与进化 · 定量生物学 2012-11-14 Elizabeth S. Allman , James H. Degnan , John A. Rhodes

We analyse a maximum-likelihood approach for combining phylogenetic trees into a larger `supertree'. This is based on a simple exponential model of phylogenetic error, which ensures that ML supertrees have a simple combinatorial description…

种群与进化 · 定量生物学 2007-08-17 Mike Steel , Allen Rodrigo

Reconciling a gene tree with a species tree is an important task that reveals much about the evolution of genes, genomes, and species, as well as about the molecular function of genes. A wide array of computational tools have been devised…

种群与进化 · 定量生物学 2012-12-11 Yun Yu , Luay Nakhleh

Terraces are potentially large sets of trees with precisely the same likelihood or parsimony score, which can be induced by missing sequences in partitioned multi-locus phylogenetic data matrices. The set of trees on a terrace can be…

种群与进化 · 定量生物学 2014-10-30 Michael J Sanderson , Michelle M. McMahon , Alexandros Stamatakis , Derrick J. Zwickl , Mike Steel

Maximum likelihood estimation (MLE) methods are widely used for evolutionary tree. As evolutionary tree is not a smooth parameter, the consistency of its MLE has been a topic of debate. It has been noted without proof that the classical…

种群与进化 · 定量生物学 2014-05-06 Arindam RoyChoudhury

This preprint has been reviewed and recommended by Peer Community In Evolutionary Biology (http://dx.doi.org/10.24072/pci.evolbiol.100036). Approximate Bayesian computation (ABC) has grown into a standard methodology that manages Bayesian…

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…

应用统计 · 统计学 2018-11-06 Cheng Zhang , Frederick A. Matsen

Phylogenetic networks generalise phylogenetic trees and allow for the accurate representation of the evolutionary history of a set of present-day species whose past includes reticulate events such as hybridisation and lateral gene transfer.…

种群与进化 · 定量生物学 2018-09-05 Joan Carles Pons , Charles Semple , Mike Steel

One of the main aims in phylogenetics is the estimation of ancestral sequences based on present-day data like, for instance, DNA alignments. One way to estimate the data of the last common ancestor of a given set of species is to first…

种群与进化 · 定量生物学 2017-02-07 Lina Herbst , Mareike Fischer

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 $X$…

数据结构与算法 · 计算机科学 2016-04-12 Julien Baste , Christophe Paul , Ignasi Sau , Celine Scornavacca

Bayesian network is a complete model for the variables and their relationships, it can be used to answer probabilistic queries about them. A Bayesian network can thus be considered a mechanism for automatically applying Bayes' theorem to…

人工智能 · 计算机科学 2010-11-08 Jianguo Ding

Big Data often presents as massive non-probability samples. Not only is the selection mechanism often unknown, but larger data volume amplifies the relative contribution of selection bias to total error. Existing bias adjustment approaches…

统计方法学 · 统计学 2022-03-29 Ali Rafei , Carol A. C. Flannagan , Brady T. West , Michael R. Elliott

Supertree methods are tree reconstruction techniques that combine several smaller gene trees (possibly on different sets of species) to build a larger species tree. The question of interest is whether the reconstructed supertree converges…

种群与进化 · 定量生物学 2021-05-06 Lam Si Tung Ho , Vu Dinh

Recent advances have allowed for both morphological fossil evidence and molecular sequences to be integrated into a single combined inference of divergence dates under the rule of Bayesian probability. In particular the fossilized…

种群与进化 · 定量生物学 2016-05-04 Alexei J. Drummond , Tanja Stadler