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Rooted acyclic graphs appear naturally when the phylogenetic relationship of a set $X$ of taxa involves not only speciations but also recombination, horizontal transfer, or hybridization, that cannot be captured by trees. A variety of…

Populations and Evolution · Quantitative Biology 2022-04-29 Marc Hellmuth , David Schaller , Peter F. Stadler

A tensor provides a concise way to codify the interdependence of complex data. Treating a tensor as a d-way array, each entry records the interaction between the different indices. Clustering provides a way to parse the complexity of the…

Machine Learning · Computer Science 2020-05-26 Derek DeSantis , Phillip J. Wolfram , Katrina Bennett , Boian Alexandrov

Decision tree learning is a widely used approach in machine learning, favoured in applications that require concise and interpretable models. Heuristic methods are traditionally used to quickly produce models with reasonably high accuracy.…

Information theory is gaining popularity as a tool to characterize performance of biological systems. However, information is commonly quantified without reference to whether or how a system could extract and use it; as a result,…

Molecular Networks · Quantitative Biology 2016-11-28 Mikhail Tikhonov , Shawn C. Little , Thomas Gregor

Phylogenetic networks are becoming of increasing interest to evolutionary biologists due to their ability to capture complex non-treelike evolutionary processes. From a combinatorial point of view, such networks are certain types of rooted…

Combinatorics · Mathematics 2019-10-21 Katharina T. Huber , Guillaume E. Scholz

Previously, we proposed a physically-inspired method to construct data points into an effective in-tree (IT) structure, in which the underlying cluster structure in the dataset is well revealed. Although there are some edges in the IT…

Machine Learning · Statistics 2015-07-30 Teng Qiu , Yongjie Li

Phylogenetic networks are generalizations of phylogenetic trees that allow the representation of reticulation events such as horizontal gene transfer or hybridization, and can also represent uncertainty in inference. A subclass of these,…

Populations and Evolution · Quantitative Biology 2019-10-15 Mareike Fischer , Andrew Francis

Tree kernels have demonstrated their ability to deal with hierarchical data, as the intrinsic tree structure often plays a discriminative role. While such kernels have been successfully applied to various domains such as nature language…

Computer Vision and Pattern Recognition · Computer Science 2016-04-08 Yanwei Cui , Laetitia Chapel , Sébastien Lefèvre

Phylogenetic trees are leaf-labelled trees used to model the evolution of species. Here we explore the practical impact of kernelization (i.e. data reduction) on the NP-hard problem of computing the TBR distance between two unrooted binary…

Data Structures and Algorithms · Computer Science 2023-08-21 Rim van Wersch , Steven Kelk , Simone Linz , Georgios Stamoulis

The reconstruction of phylogenies from DNA or protein sequences is a major task of computational evolutionary biology. Common phenomena, notably variations in mutation rates across genomes and incongruences between gene lineage histories,…

Probability · Mathematics 2012-11-30 Elchanan Mossel , Sebastien Roch

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

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…

Machine Learning · Statistics 2023-02-20 Cheng Zhang

This paper describes a method for creating structure from heterogeneous sources, as part of an information database, or more specifically, a 'concept base'. Structures called 'concept trees' can grow from the semi-structured sources when…

Information Retrieval · Computer Science 2015-03-17 Kieran Greer

Hierarchical clustering is a powerful tool for exploratory data analysis, organizing data into a tree of clusterings from which a partition can be chosen. This paper generalizes these ideas by proving that, for any reasonable hierarchy, one…

Machine Learning · Computer Science 2025-11-13 Andrew Draganov , Pascal Weber , Rasmus Skibdahl Melanchton Jørgensen , Anna Beer , Claudia Plant , Ira Assent

The reconstruction of a central tendency `species tree' from a large number of conflicting gene trees is a central problem in systematic biology. Moreover, it becomes particularly problematic when taxon coverage is patchy, so that not all…

Populations and Evolution · Quantitative Biology 2014-05-27 Mike Steel , Joel D. Velasco

Generating accurate digital tree models from scanned environments is invaluable for forestry, agriculture, and other outdoor industries in tasks such as identifying biomass, fall hazards and traversability, as well as digital applications…

Computer Vision and Pattern Recognition · Computer Science 2023-03-03 Thomas Lowe , Joshua Pinskier

Grain Boundaries govern many properties of polycrystalline materials, including the vast majority of engineering materials. Evolutionary algorithm can be applied to predict the grain boundary structures in different systems. However, the…

Materials Science · Physics 2017-10-04 Bingxi Li

This work addresses the intrinsic relationship between trees and networks (i.e. graphs). A complete (invertible) mapping is presented which allows trees to be mapped into weighted graphs and then backmapped into the original tree without…

Physics and Society · Physics 2008-08-07 Luciano da Fontoura Costa , Francisco Aparecido Rodrigues

Exploratory data analysis is crucial for developing and understanding classification models from high-dimensional datasets. We explore the utility of a new unsupervised tree ensemble called uncharted forest for visualizing class…

Machine Learning · Statistics 2018-07-03 Casey Kneale , Steven D. Brown

Assessing where and how information is stored in biological networks (such as neuronal and genetic networks) is a central task both in neuroscience and in molecular genetics, but most available tools focus on the network's structure as…

Information Theory · Computer Science 2023-02-24 Clifford Bohm , Douglas Kirkpatrick , Victoria Cao , Christoph Adami