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Phylogenetic diversity is a popular measure for quantifying the biodiversity of a collection $Y$ of species, while phylogenetic diversity indices provide a way to apportion phylogenetic diversity to individual species. Typically, for some…

Populations and Evolution · Quantitative Biology 2023-04-24 Magnus Bordewich , Charles Semple

Tree shape statistics quantify some aspect of the shape of a phylogenetic tree. They are commonly used to compare reconstructed trees to evolutionary models and to find evidence of tree reconstruction bias. Historically, to find a useful…

Populations and Evolution · Quantitative Biology 2007-05-23 Frederick A. Matsen

A phylogenetic tree is an edge-weighted binary tree, with leaves labelled by a collection of species, that represents the evolutionary relationships between those species. For such a tree, a phylogenetic diversity index is a function that…

Optimization and Control · Mathematics 2026-05-08 Martin Frohn , Kerry Manson

Many real-world classification problems are significantly class-imbalanced to detriment of the class of interest. The standard set of proper evaluation metrics is well-known but the usual assumption is that the test dataset imbalance equals…

Machine Learning · Computer Science 2020-04-16 Jan Brabec , Tomáš Komárek , Vojtěch Franc , Lukáš Machlica

Graphs are interesting structures: extremely useful to depict real-life problems, extremely easy to understand given a sketch, extremely complicated to represent formally, extremely complicated to compare. Phylogeny is the study of the…

Data Structures and Algorithms · Computer Science 2019-01-18 Bernardo Lopo Tavares

Because biological processes can make different loci have different evolutionary histories, species tree estimation requires multiple loci from across the genome. While many processes can result in discord between gene trees and species…

Quantitative Methods · Quantitative Biology 2018-03-13 Md. Shamsuzzoha Bayzid , Siavash Mirarab , Bastien Boussau , Tandy Warnow

Data analysis and machine learning have become an integrative part of the modern scientific methodology, providing automated techniques to predict further information based on observations. One of these classification and regression…

Computer Vision and Pattern Recognition · Computer Science 2019-01-07 Mario Amrehn , Firas Mualla , Elli Angelopoulou , Stefan Steidl , Andreas Maier

Measurement is a complicated but very necessary task. Many indices have been created in an effort to define the quality of knowledge produced but they have attracted strong criticism, having become synonymous with individualism, competition…

Digital Libraries · Computer Science 2018-07-23 Ari Melo Mariano , Maíra Rocha Santos

Allocation of research funding, as well as promotion and tenure decisions, are increasingly made using indicators and impact factors drawn from citations to published work. A debate among scientometricians about proper normalization of…

Digital Libraries · Computer Science 2012-05-08 Caroline S. Wagner , Loet Leydesdorff

Phylogenies are commonly used to represent the evolutionary relationships between species, and often these phylogenies are equipped with edge lengths that indicate degrees of evolutionary difference. Given such a phylogeny, a popular…

Populations and Evolution · Quantitative Biology 2025-02-12 Martin Frohn , Kerry Manson

The Leinster and Cobbold diversity index possesses a number of merits; in particular, it generalises many existing indices and defines an effective number. We present a scheme to quantify the contribution of richness, evenness, and…

Populations and Evolution · Quantitative Biology 2022-12-13 Bingzhang Chen , Michael Grinfeld

There are various mathematical models proposed in the recent literature for estimating the h-index through bibliometric measures, such as number of articles (P) and citations received (C). These models have been previously empirically…

Digital Libraries · Computer Science 2017-08-29 Chrisovalantis Malesios

Diversity indices are useful single-number metrics for characterizing a complex distribution of a set of attributes across a population of interest. The utility of these different metrics or sets of metrics depend on the context and…

Populations and Evolution · Quantitative Biology 2020-03-06 Song Xu , Lucas Böttcher , Tom Chou

The fine grained classification of street trees is a crucial task for urban planning, streetscape management, and the assessment of urban ecosystem services. However, progress in this field has been hindered by the lack of large scale,…

Computer Vision and Pattern Recognition · Computer Science 2026-04-01 Jiapeng Li , Yingjing Huang , Fan Zhang , Yu liu

We survey the definition and some elementary properties of real trees. There are no new results, as far as we know. One purpose is to give a number of different definitions and show the equivalence between them. We discuss also, for…

Combinatorics · Mathematics 2023-03-15 Svante Janson

With the expansion of data availability, machine learning (ML) has achieved remarkable breakthroughs in both academia and industry. However, imbalanced data distributions are prevalent in various types of raw data and severely hinder the…

Machine Learning · Computer Science 2025-09-15 Xinyi Gao , Dongting Xie , Yihang Zhang , Zhengren Wang , Chong Chen , Conghui He , Hongzhi Yin , Wentao Zhang

In recent years, there has been an effort to extend the classical notion of phylogenetic balance, originally defined in the context of trees, to networks. One of the most natural ways to do this is with the so-called $B_2$ index. In this…

Populations and Evolution · Quantitative Biology 2024-07-30 François Bienvenu , Jean-Jil Duchamps , Michael Fuchs , Tsan-Cheng Yu

We provide a comprehensive and critical review of the h-index and its most important modifications proposed in the literature, as well as of other similar indicators measuring research output and impact. Extensions of some of these indices…

Information Retrieval · Computer Science 2009-09-15 John Panaretos , Chrisovaladis Malesios

Index structures are one of the most important tools that DBAs leverage to improve the performance of analytics and transactional workloads. However, building several indexes over large datasets can often become prohibitive and consume…

Databases · Computer Science 2020-03-26 Alex Galakatos , Michael Markovitch , Carsten Binnig , Rodrigo Fonseca , Tim Kraska

Bibliometric indicators such as journal impact factors, h-indices, and total citation counts are algorithmic artifacts that can be used in research evaluation and management. These artifacts have no meaning by themselves, but receive their…

Digital Libraries · Computer Science 2016-09-26 Loet Leydesdorff , Paul Wouters , Lutz Bornmann