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Phylogenetic networks are used to represent the evolutionary history of species. They are versatile when compared to traditional phylogenetic trees, as they capture more complex evolutionary events such as hybridization and horizontal gene…

Combinatorics · Mathematics 2023-05-18 Shunsuke Maeda , Yusuke Kaneko , Hideaki Muramatsu , Yukihiro Murakami , Momoko Hayamizu

In the last decade, some algebraic tools have been successfully applied to phylogenetic reconstruction. These tools are mainly based on the knowledge of equations describing algebraic varieties associated to phylogenetic trees evolving…

Populations and Evolution · Quantitative Biology 2025-07-04 Marta Casanellas , Jesús Fernández-Sánchez

Calculation of the log-likelihood stands as the computational bottleneck for many statistical phylogenetic algorithms. Even worse is its gradient evaluation, often used to target regions of high probability. Order ${\cal…

Real-world data usually have high dimensionality and it is important to mitigate the curse of dimensionality. High-dimensional data are usually in a coherent structure and make the data in relatively small true degrees of freedom. There are…

Machine Learning · Computer Science 2021-03-12 Xiang Wang , Xiaoyong Li , Junxing Zhu , Zichen Xu , Kaijun Ren , Weiming Zhang , Xinwang Liu , Kui Yu

Phylogenetic networks are a generalization of phylogenetic trees that are used to represent non-tree-like evolutionary histories that arise in organisms such as plants and bacteria, or uncertainty in evolutionary histories. An…

Populations and Evolution · Quantitative Biology 2017-12-08 Andrew Francis , Katharina Huber , Vincent Moulton

Cancers follow a clonal Darwinian evolution, with fitter subclones replacing more quiescent cells, ultimately giving rise to macroscopic disease. High-throughput genomics provides the opportunity to investigate these processes and determine…

Quantitative Methods · Quantitative Biology 2014-10-07 Sakellarios Zairis , Hossein Khiabanian , Andrew J. Blumberg , Raul Rabadan

A phylogenetic variety is an algebraic variety parameterized by a statistical model of the evolution of biological sequences along a tree. Understanding this variety is an important problem in the area of algebraic statistics with…

Populations and Evolution · Quantitative Biology 2024-05-22 Luis David Garcia Puente , Marina Garrote-López , Elima Shehu

Phylogenetic networks generalize phylogenetic trees by allowing the modelization of events of reticulate evolution. Among the different kinds of phylogenetic networks that have been proposed in the literature, the subclass of binary…

Data Structures and Algorithms · Computer Science 2020-07-01 Gabriel Cardona , Joan Carles Pons , Celine Scornavacca

In recent years, the explosion of malware and extensive code reuse have formed complex evolutionary connections among malware specimens. The rapid pace of development makes it challenging for existing studies to characterize recent…

Cryptography and Security · Computer Science 2025-12-02 Bojing Li , Duo Zhong , Dharani Nadendla , Gabriel Terceros , Prajna Bhandar , Raguvir S , Charles Nicholas

Construction of phylogenetic trees has traditionally focused on binary trees where all species appear on leaves, a problem for which numerous efficient solutions have been developed. Certain application domains though, such as viral…

Data Structures and Algorithms · Computer Science 2016-11-01 Dimitris Papamichail , Angela Huang , Andrew Miller , Edward Kennedy , Jan-Lucas Ott , Georgios Papamichail

Phylogenetic networks are a generalization of phylogenetic trees that are used to represent reticulate evolution. Unrooted phylogenetic networks form a special class of such networks, which naturally generalize unrooted phylogenetic trees.…

Populations and Evolution · Quantitative Biology 2016-01-11 Katharina T. Huber , Vincent Moulton , Taoyang Wu

A phylogenetic tree is a way to organize a finite set of species, individuals or other sources of related data. The species for which we have existing DNA data make up the set of leaves of the tree. The balanced minimal evolution method of…

Combinatorics · Mathematics 2016-08-05 Stefan Forcey , Logan Keefe , William Sands

Human migration and mobility drives major societal phenomena including epidemics, economies, innovation, and the diffusion of ideas. Although human mobility and migration have been heavily constrained by geographic distance throughout the…

Machine Learning · Computer Science 2024-02-06 Dakota Murray , Jisung Yoon , Sadamori Kojaku , Rodrigo Costas , Woo-Sung Jung , Staša Milojević , Yong-Yeol Ahn

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

Large scale contextual representation models have significantly advanced NLP in recent years, understanding the semantics of text to a degree never seen before. However, they need to process large amounts of data to achieve high-quality…

Computation and Language · Computer Science 2021-05-04 Daniel Garcia Bernal , Lodovico Giaretta , Sarunas Girdzijauskas , Magnus Sahlgren

Programming language processing (similar to natural language processing) is a hot research topic in the field of software engineering; it has also aroused growing interest in the artificial intelligence community. However, different from a…

Machine Learning · Computer Science 2015-12-09 Lili Mou , Ge Li , Lu Zhang , Tao Wang , Zhi Jin

In phylogenetics, tree-based networks are used to model and visualize the evolutionary history of species where reticulate events such as horizontal gene transfer have occurred. Formally, a tree-based network $N$ consists of a phylogenetic…

Discrete Mathematics · Computer Science 2020-08-21 Jonathan Klawitter , Peter Stumpf

Rapid digitalisation spurred by the Covid-19 pandemic has resulted in more cyber crime. Malware-as-a-service is now a booming business for cyber criminals. With the surge in malware activities, it is vital for cyber defenders to understand…

Cryptography and Security · Computer Science 2022-09-05 Joon Sern Lee , Kai Keng Tay , Zong Fu Chua

Relationships in scientific data, such as the numerical and spatial distribution relations of features in univariate data, the scalar-value combinations' relations in multivariate data, and the association of volumes in time-varying and…

Machine Learning · Computer Science 2022-07-25 Xiangyang He , Yubo Tao , Shuoliu Yang , Haoran Dai , Hai Lin

Phylogenetic networks are a generalization of phylogenetic trees allowing for the representation of non-treelike evolutionary events such as hybridization. Typically, such networks have been analyzed based on their `level', i.e. based on…

Populations and Evolution · Quantitative Biology 2020-05-11 Mareike Fischer , Michelle Galla , Lina Herbst , Yangjing Long , Kristina Wicke
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