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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…

Discrete Mathematics · Computer Science 2025-04-16 Jonathan Klawitter , Felix Klesen , Joris Y. Scholl , Thomas C. van Dijk , Alexander Zaft

The gene family-free framework for comparative genomics aims at developing methods for gene order analysis that do not require prior gene family assignment, but work directly on a sequence similarity multipartite graph. We present a model…

Data Structures and Algorithms · Computer Science 2016-06-21 Daniel Doerr , Pedro Feijao , Metin Balaban , Cedric Chauve

In life sciences, fluorescent labeling techniques are used to study molecular structures and interactions of cells. However, this type of cell imaging has its own limitations, one of which is that the process of staining the cells could be…

Image and Video Processing · Electrical Eng. & Systems 2020-05-07 Eunjae Kim

The mathematical analysis of random phylogenetic networks via analytic and algorithmic methods has received increasing attention in the past years. In the present work we introduce branching process methods to their study. This approach…

Probability · Mathematics 2021-02-23 Benedikt Stufler

There are several tools available to infer phylogenetic trees, which depict the evolutionary relationships among biological entities such as viral and bacterial strains in infectious outbreaks, or cancerous cells in tumor progression trees.…

Data Structures and Algorithms · Computer Science 2023-12-22 António Pedro Branco , Cátia Vaz , Alexandre P. Francisco

Uncorrelated random scale-free networks are useful null models to check the accuracy an the analytical solutions of dynamical processes defined on complex networks. We propose and analyze a model capable to generate random uncorrelated…

Disordered Systems and Neural Networks · Physics 2009-11-10 Michele Catanzaro , Marian Boguna , Romualdo Pastor-Satorras

Phylogenetics is now fundamental in life sciences, providing insights into the earliest branches of life and the origins and spread of epidemics. However, finding suitable phylogenies from the vast space of possible trees remains…

Populations and Evolution · Quantitative Biology 2024-01-24 Matthew J Penn , Neil Scheidwasser , Joseph Penn , Christl A Donnelly , David A Duchêne , Samir Bhatt

The inference of phylogenetic networks, which model complex evolutionary processes including hybridization and gene flow, remains a central challenge in evolutionary biology. Until now, statistically consistent inference methods have been…

Populations and Evolution · Quantitative Biology 2025-10-14 Niels Holtgrefe , Elizabeth S. Allman , Hector Baños , Leo van Iersel , Vincent Moulton , John A. Rhodes , Kristina Wicke

Typing methods are widely used in the surveillance of infectious diseases, outbreaks investigation and studies of the natural history of an infection. And their use is becoming standard, in particular with the introduction of High…

Data Structures and Algorithms · Computer Science 2020-06-16 Cátia Vaz , Marta Nascimento , João A. Carriço , Tatiana Rocher , Alexandre P. Francisco

Genome and metagenome comparisons based on large amounts of next-generation sequencing (NGS) data pose significant challenges for alignment-based approaches due to the huge data size and the relatively short length of the reads.…

Quantitative Methods · Quantitative Biology 2018-03-28 Jie Ren , Xin Bai , Yang Young Lu , Kujin Tang , Ying Wang , Gesine Reinert , Fengzhu Sun

A thorough discussion of the statistical ensemble of scale-free connected random tree graphs is presented. Methods borrowed from field theory are used to define the ensemble and to study analytically its properties. The ensemble is…

Statistical Mechanics · Physics 2009-11-07 Z. Burda , J. D. Correia , A. Krzywicki

Within bioinformatics, the textual alignment of amino acid sequences has long dominated the determination of similarity between proteins, with all that implies for shared structure, function and evolutionary descent. Despite the relative…

Quantitative Methods · Quantitative Biology 2016-02-10 Amit K Chattopadhyay , Diar Nasiev , Darren R Flower

Can neural networks learn to compare graphs without feature engineering? In this paper, we show that it is possible to learn representations for graph similarity with neither domain knowledge nor supervision (i.e.\ feature engineering or…

Machine Learning · Computer Science 2019-04-23 Rami Al-Rfou , Dustin Zelle , Bryan Perozzi

Tree alignment graphs (TAGs) provide an intuitive data structure for storing phylogenetic trees that exhibits the relationships of the individual input trees and can potentially account for nested taxonomic relationships. This paper…

Data Structures and Algorithms · Computer Science 2015-03-16 Ruchi Chaudhary , David Fernandez-Baca , J. Gordon Burleigh

As whole genomes become widely available, maximum likelihood and Bayesian phylogenetic methods are demonstrating their limits in meeting the escalating computational demands. Conversely, distance-based phylogenetic methods are efficient,…

Populations and Evolution · Quantitative Biology 2025-02-07 Matthew J. Penn , Neil Scheidwasser , Mark P. Khurana , Christl A. Donnelly , David A. Duchêne , Samir Bhatt

The reconstruction of phylogenetic networks is an important but challenging problem in phylogenetics and genome evolution, as the space of phylogenetic networks is vast and cannot be sampled well. One approach to the problem is to solve the…

Populations and Evolution · Quantitative Biology 2023-04-14 Louxin Zhang , Niloufar Abhari , Caroline Colijn , Yufeng Wu

Phylogenetic networks are necessary to represent the tree of life expanded by edges to represent events such as horizontal gene transfers, hybridizations or gene flow. Not all species follow the paradigm of vertical inheritance of their…

Populations and Evolution · Quantitative Biology 2016-02-15 Claudia Solís-Lemus , Cécile Ané

We propose an extension of Convolutional Neural Networks (CNNs) to graph-structured data, including strided convolutions and data augmentation on graphs. Our method matches the accuracy of state-of-the-art CNNs when applied on images,…

Machine Learning · Computer Science 2018-02-28 Carlos Eduardo Rosar Kos Lassance , Jean-Charles Vialatte , Vincent Gripon

The advent of high-throughput sequencing technologies has lead to vast comparative genome sequences. The construction of gene-gene interaction networks or dependence graphs on the genome scale is vital for understanding the regulation of…

Methodology · Statistics 2023-03-06 Xinyao Fan , Harry Joe , Yongjin Park

Bayesian inference is now a leading technique for reconstructing phylogenetic trees from aligned sequence data. In this short note, we formally show that the maximum posterior tree topology provides a statistically consistent estimate of a…

Populations and Evolution · Quantitative Biology 2013-07-12 Mike Steel