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Galled trees are studied as a recombination model in theoretic population genetics. This class of phylogenetic networks has been generalized to tree-child networks, normal networks and tree-based networks by relaxing a structural condition.…

种群与进化 · 定量生物学 2019-08-05 Louxin Zhang

Unrooted phylogenetic networks are graphs used to represent evolutionary relationships. Accurately reconstructing such networks is of great relevance for evolutionary biology. It has recently been conjectured that all phylogenetic networks…

组合数学 · 数学 2021-01-01 Péter L. Erdős , Leo van Iersel , Mark Jones

Phylogenetics begins with reconstructing biological family trees from genetic data. Since Nature is not limited to tree-like histories, we use networks to organize our data, and have discovered new polytopes, metric spaces, and simplicial…

组合数学 · 数学 2019-05-28 Satyan Devadoss , Cassandra Durell , Stefan Forcey

Tree-based phylogenetic networks, which may be roughly defined as leaf-labeled networks built by adding arcs only between the original tree edges, have elegant properties for modeling evolutionary histories. We answer an open question of…

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…

组合数学 · 数学 2015-11-30 Philippe Gambette , Katharina T. Huber , Guillaume E. Scholz

The evolutionary relationships between species are typically represented in the biological literature by rooted phylogenetic trees. However, a tree fails to capture ancestral reticulate processes, such as the formation of hybrid species or…

种群与进化 · 定量生物学 2024-12-09 Johanna Heiss , Daniel H. Huson , Mike Steel

We present a new way to summarize and select mixture models via the hierarchical clustering tree (dendrogram) constructed from an overfitted latent mixing measure. Our proposed method bridges agglomerative hierarchical clustering and…

统计方法学 · 统计学 2024-03-11 Dat Do , Linh Do , Scott A. McKinley , Jonathan Terhorst , XuanLong Nguyen

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…

机器学习 · 统计学 2023-02-20 Cheng Zhang

Phylogenetic trees are widely used to display estimates of how groups of species evolved. Each phylogenetic tree can be seen as a collection of clusters, subgroups of the species that evolved from a common ancestor. When phylogenetic trees…

种群与进化 · 定量生物学 2009-10-19 Leo van Iersel , Steven Kelk , Regula Rupp , Daniel Huson

A geophylogeny is a phylogenetic tree (or dendrogram) where each leaf (e.g. biological taxon) has an associated geographic location (site). To clearly visualize a geophylogeny, the tree is typically represented as a crossing-free drawing…

离散数学 · 计算机科学 2025-04-16 Jonathan Klawitter , Felix Klesen , Joris Y. Scholl , Thomas C. van Dijk , Alexander Zaft

Methods that generate networks sharing a given degree distribution and global clustering can induce changes in structural properties other than that controlled for. Diversity in structural properties, in turn, can affect the outcomes of…

社会与信息网络 · 计算机科学 2018-09-18 Peter Overbury , István Z. Kiss , Luc Berthouze

Phylogenetic networks have gained prominence over the years due to their ability to represent complex non-treelike evolutionary events such as recombination or hybridization. Popular combinatorial objects used to construct them are triplet…

组合数学 · 数学 2016-10-19 P. Gambette , K. T. Huber , S. Kelk

Rooted phylogenetic networks provide a more complete representation of the ancestral relationship between species than phylogenetic trees when reticulate evolutionary processes are at play. One way to reconstruct a phylogenetic network is…

组合数学 · 数学 2020-12-02 Allan Bai , Peter Erdos , Charles Semple , Mike Steel

In the context of reconstructing phylogenetic networks from a collection of phylogenetic trees, several characterisations and subsequently algorithms have been established to reconstruct a phylogenetic network that collectively embeds all…

组合数学 · 数学 2023-08-21 Janosch Döcker , Simone Linz , Charles Semple

Balanced minimum evolution is a distance-based criterion for the reconstruction of phylogenetic trees. Several algorithms exist to find the optimal tree with respect to this criterion. One approach is to minimize a certain linear functional…

组合数学 · 数学 2019-05-23 Cassandra Durell , Stefan Forcey

Phylogenetic networks represent evolutionary history of species and can record natural reticulate evolutionary processes such as horizontal gene transfer and gene recombination. This makes phylogenetic networks a more comprehensive…

种群与进化 · 定量生物学 2021-06-15 Remie Janssen , Pengyu Liu

A phylogenetic tree shows the evolutionary relationships among species. Internal nodes of the tree represent speciation events and leaf nodes correspond to species. A goal of phylogenetics is to combine such trees into larger trees, called…

人工智能 · 计算机科学 2014-01-16 Neil C. A. Moore , Patrick Prosser

While linear mixed model (LMM) has shown a competitive performance in correcting spurious associations raised by population stratification, family structures, and cryptic relatedness, more challenges are still to be addressed regarding the…

机器学习 · 计算机科学 2023-02-15 Wenting Ye , Xiang Liu , Tianwei Yue , Wenping Wang

Phylogenetic networks extend phylogenetic trees to allow for modeling reticulate evolutionary processes such as hybridization. They take the shape of a rooted, directed, acyclic graph, and when parameterized with evolutionary parameters,…

种群与进化 · 定量生物学 2018-08-28 R. A. L. Elworth , H. A. Ogilvie , J. Zhu , L. Nakhleh

Phylogenetics is the study of the evolutionary relationships between organisms. One of the main challenges in the field is to take biological data for a group of organisms and to infer an evolutionary tree, a graph that represents these…

种群与进化 · 定量生物学 2019-06-05 Elizabeth Gross , Colby Long , Joseph Rusinko