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We present a comprehensive new framework for handling biologically accurate models of molecular evolution. This model provides a systematic framework for studying models of molecular evolution that implement heterogeneous rates,…

Populations and Evolution · Quantitative Biology 2011-02-10 David Koslicki

Computational inference of dated evolutionary histories relies upon various hypotheses about RNA, DNA, and protein sequence mutation rates. Using mutation rates to infer these dated histories is referred to as molecular clock assumption.…

Populations and Evolution · Quantitative Biology 2021-01-11 Lena Collienne , Kieran Elmes , Mareike Fischer , David Bryant , Alex Gavryushkin

Motivation: mtDNA distance matrices are standard inputs for distance-based phylogeny, but computing all pairwise alignments is costly. Missing entries can degrade inferred topology and branch lengths, and generic matrix-completion methods…

Populations and Evolution · Quantitative Biology 2026-02-16 Dmitrii Chaikovskii , Weilai Qu , Boris Melnikov , Ye Zhang , Yuehong Zhao

Linear model trees are regression trees that incorporate linear models in the leaf nodes. This preserves the intuitive interpretation of decision trees and at the same time enables them to better capture linear relationships, which is hard…

Machine Learning · Statistics 2024-07-10 Jakob Raymaekers , Peter J. Rousseeuw , Tim Verdonck , Ruicong Yao

Simple stochastic models for phylogenetic trees on species have been well studied. But much paleontology data concerns time series or trees on higher-order taxa, and any broad picture of relationships between extant groups requires use of…

Populations and Evolution · Quantitative Biology 2007-08-28 David Aldous , Maxim Krikun , Lea Popovic

The path-difference metric is one of the oldest distances for the comparison of fully resolved phylogenetic trees, but its statistical properties are still quite unknown. In this paper we compute the mean value of the square of the…

Populations and Evolution · Quantitative Biology 2009-06-16 Arnau Mir , Francesc Rossello

Understanding the evolution of a set of genes or species is a fundamental problem in evolutionary biology. The problem we study here takes as input a set of trees describing {possibly discordant} evolutionary scenarios for a given set of…

Data Structures and Algorithms · Computer Science 2019-07-10 Cedric Chauve , Mark Jones , Manuel Lafond , Céline Scornavacca , Mathias Weller

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…

Molecular Networks · Quantitative Biology 2026-02-06 D. Gamermann , A. Montagud , J. A. Conejero , P. F. de Córdoba , J. F. Urchieguía

We consider the reconciliation problem, in which the task is to find a mapping of a gene tree into a species tree, so as to maximize the likelihood of such fitting, given the available data. We describe a model for the evolution of the…

Populations and Evolution · Quantitative Biology 2023-11-09 Albert C. Soewongsono , Jiahao Diao , Tristan Stark , Amanda E. Wilson , David A. Liberles , Barbara R. Holland , Malgorzata M. O'Reilly

Phylogenetic stochastic mapping is a method for reconstructing the history of trait changes on a phylogenetic tree relating species/organisms carrying the trait. State-of-the-art methods assume that the trait evolves according to a…

Computation · Statistics 2014-03-21 Jan Irvahn , Vladimir N. Minin

Statistically consistent estimation of phylogenetic trees or gene trees is possible if pairwise sequence dissimilarities can be converted to a set of distances that are proportional to the true evolutionary distances. Susko et al. (2004)…

Populations and Evolution · Quantitative Biology 2015-04-28 Emily Jane McTavish , Mike Steel , Mark T. Holder

Phylogenetic inference can potentially result in a more accurate tree using data from multiple loci. However, if the loci are incongruent--due to events such as incomplete lineage sorting or horizontal gene transfer--it can be misleading to…

Populations and Evolution · Quantitative Biology 2016-03-10 Kevin Gori , Tomasz Suchan , Nadir Alvarez , Nick Goldman , Christophe Dessimoz

We investigate parameterized algorithms for computing the average-tree phylogenetic diversity (APD) in rooted phylogenetic networks, studying the problem under different structural parameters that capture the deviation of a network from a…

Data Structures and Algorithms · Computer Science 2026-05-01 Leo van Iersel , Mark Jones , Jannik Schestag , Celine Scornavacca , Mathias Weller

The ability to estimate the evolutionary distance between extant genomes plays a crucial role in many phylogenomic studies. Often such estimation is based on the parsimony assumption, implying that the distance between two genomes can be…

Genomics · Quantitative Biology 2017-05-29 Nikita Alexeev , Max A. Alekseyev

A variety of algorithms have been proposed for reconstructing trees that show the evolutionary relationships between species by comparing differences in genetic data across present-day taxa. If the leaf-to-leaf distances in a tree can be…

Populations and Evolution · Quantitative Biology 2014-11-18 Olivier Gascuel , Mike Steel

In this work, we introduce a Tropical Axial Attention neural reasoning architecture that replaces vanilla softmax dot-product attention with max-plus operators, inducing a piecewise-linear structure aligned with dynamic programming…

Populations and Evolution · Quantitative Biology 2026-05-15 Chris Teska , Kurt Pasque , Ruriko Yoshida , Baran Hashemi

Semidirected networks have received interest in evolutionary biology as the appropriate generalization of unrooted trees to networks, in which some but not all edges are directed. Yet these networks lack proper theoretical study. We define…

Combinatorics · Mathematics 2024-10-14 Michael Maxfield , Jingcheng Xu , Cécile Ané

An important problem in evolutionary genomics is to investigate whether a certain trait measured on each sample is associated with the sample phylogenetic tree. The phylogenetic tree represents the shared evolutionary history of the samples…

Populations and Evolution · Quantitative Biology 2024-07-22 Julie Zhang , Gabriel A. Preising , Molly Schumer , Julia A. Palacios

The subtree prune-and-regraft (SPR) distance metric is a fundamental way of comparing evolutionary trees. It has wide-ranging applications, such as to study lateral genetic transfer, viral recombination, and Markov chain Monte Carlo…

Discrete Mathematics · Computer Science 2016-11-09 Chris Whidden , Frederick A. Matsen

Genetic sequence data of pathogens are increasingly used to investigate transmission dynamics in both endemic diseases and disease outbreaks; such research can aid in development of appropriate interventions and in design of studies to…

Quantitative Methods · Quantitative Biology 2018-01-24 Hesam Montazeri , Susan Little , Niko Beerenwinkel , Victor DeGruttola
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