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Phylogenetic comparative methods (PCMs) are widely used to study trait evolution. However, many evolutionary histories involve reticulate evolutionary scenarios, such as hybridization, that violate core assumptions of these methods. In this…

种群与进化 · 定量生物学 2026-03-30 Lydia Morley , Emma Lehmberg , Sungsik Kong

In this work we propose a novel interpretation of residual networks showing that they can be seen as a collection of many paths of differing length. Moreover, residual networks seem to enable very deep networks by leveraging only the short…

计算机视觉与模式识别 · 计算机科学 2016-10-28 Andreas Veit , Michael Wilber , Serge Belongie

Heterogeneous graph neural networks (HGNNs) have attracted increasing research interest in recent three years. Most existing HGNNs fall into two classes. One class is meta-path-based HGNNs which either require domain knowledge to handcraft…

机器学习 · 计算机科学 2022-09-02 Nan Wu , Chaofan Wang

Reconstructing the evolutionary past of a family of genes is an important aspect of many genomic studies. To help with this, simple operations on a set of sequences called orthology relations may be employed. In addition to being…

离散数学 · 计算机科学 2016-03-16 K. T. Huber , G. E. Scholz

Biological networks have two modes. The first mode is static: a network is a passage on which something flows. The second mode is dynamic: a network is a pattern constructed by gluing functions of entities constituting the network. In this…

范畴论 · 数学 2012-11-22 Taichi Haruna

Two genes are xenologs in the sense of Fitch if they are separated by at least one horizontal gene transfer event. Horizonal gene transfer is asymmetric in the sense that the transferred copy is distinguished from the one that remains…

离散数学 · 计算机科学 2018-02-13 Manuela Geiß , John Anders , Peter F. Stadler , Nicolas Wieseke , Marc Hellmuth

Phylogenetic networks provide a general framework for modeling reticulate evolutionary processes such as hybridization, recombination, and horizontal gene transfer. In this paper, we study the asymptotic counting of binary phylogenetic…

种群与进化 · 定量生物学 2026-05-25 Hao Yu , Louxin Zhang

A phylogenetic network is a graph-theoretical tool that is used by biologists to represent the evolutionary history of a collection of species. One potential way of constructing such networks is via a distance-based approach, where one is…

组合数学 · 数学 2020-06-15 Leo van Iersel , Vincent Moulton , Yukihiro Murakami

The topological structure of complex networks has fascinated researchers for several decades, resulting in the discovery of many universal properties and reoccurring characteristics of different kinds of networks. However, much less is…

社会与信息网络 · 计算机科学 2017-06-28 Yvonne Anne Pignolet , Matthieu Roy , Stefan Schmid , Gilles Tredan

The topological structure of complex networks has fascinated researchers for several decades, resulting in the discovery of many universal properties and reoccurring characteristics of different kinds of networks. However, much less is…

社会与信息网络 · 计算机科学 2017-03-02 Yvonne Anne Pignolet , Matthieu Roy , Stefan Schmid , Gilles Tredan

A wide range of applications and research has been done with genome-scale metabolic models. In this work we describe a methodology for comparing metabolic networks constructed from genome-scale metabolic models and how to apply this…

分子网络 · 定量生物学 2026-02-06 D. Gamermann , A. Montagud , J. A. Conejero , P. F. de Córdoba , J. F. Urchieguía

Phylogenetic networks are generalizations of trees that allow for the modeling of non-tree like evolutionary processes. Split networks give a useful way to construct networks with intuitive distance structures induced from the associated…

组合数学 · 数学 2024-09-18 Bryson Kagy , Seth Sullivant

Many methods have been developed for finding the commonalities between different organisms to study their phylogeny. The structure of metabolic networks also reveal valuable insights into metabolic capacity of species as well as into the…

分子网络 · 定量生物学 2016-04-08 Krishanu Deyasi , Anirban Banerjee , Bony Deb

Rotation distances measure the differences in structure between rooted ordered binary trees. The one-dimensional skeleta of associahedra are rotation graphs, where two vertices representing trees are connected by an edge if they differ by a…

数据结构与算法 · 计算机科学 2020-06-29 Sean Cleary , Haris Nadeem

Phylogenetic trees and networks are graphs used to model evolutionary relationships, with trees representing strictly branching histories and networks allowing for events in which lineages merge, called reticulation events. While the…

种群与进化 · 定量生物学 2026-04-17 Martin Frohn , Niels Holtgrefe , Leo van Iersel , Mark Jones , Steven Kelk

Trajectory data mining is crucial for smart city management. However, collecting large-scale trajectory datasets is challenging due to factors such as commercial conflicts and privacy regulations. Therefore, we urgently need trajectory…

机器学习 · 计算机科学 2025-02-04 Jingyuan Wang , Yujing Lin , Yudong Li

Ranked tree-child networks are a recently introduced class of rooted phylogenetic networks in which the evolutionary events represented by the network are ordered so as to respect the flow of time. This class includes the well-studied…

种群与进化 · 定量生物学 2024-10-15 Vincent Moulton , Andreas Spillner

The mutational heterogeneity of tumours can be described with a tree representing the evolutionary history of the tumour. With noisy sequencing data there may be uncertainty in the inferred tree structure, while we may also wish to study…

计算复杂性 · 计算机科学 2025-01-14 Luís Cunha , Jack Kuipers , Thiago Lopes

Genomes and genes diversify during evolution; however, it is unclear to what extent genes still retain the relationship among species. Model species for molecular phylogenetic studies include yeasts and viruses whose genomes were sequenced…

基因组学 · 定量生物学 2008-06-09 Yunfeng Shan , Xiu-Qing Li

We provide precise asymptotic estimates for the number of general phylogenetic networks by using analytic combinatorial methods. Recently, this approach is studied by Fuchs, Gittenberger, and the author himself (Australasian Journal of…

组合数学 · 数学 2020-06-01 Marefatollah Mansouri