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Traditionally, phylogeny and sequence alignment are estimated separately: first estimate a multiple sequence alignment and then infer a phylogeny based on the sequence alignment estimated in the previous step. However, uncertainty in the…

Applications · Statistics 2014-11-25 Heejung Shim , Bret Larget

Attempting to recognize a tree inside a phylogenetic network is a fundamental undertaking in evolutionary analysis. In the last few years, therefore, tree-based phylogenetic networks, which are defined by a spanning tree called a…

Combinatorics · Mathematics 2020-09-29 Momoko Hayamizu

We compare the phylogenetic tensors for various trees and networks for two, three and four taxa. If the probability spaces between one tree or network and another are not identical then there will be phylogenetic tensors that could have…

Populations and Evolution · Quantitative Biology 2016-06-24 Jonathan Mitchell

With ever-increasing volume and heterogeneity of data, advent of new specialized compute engines, and demand for complex use cases, large-scale data systems require a performant catalog system that can satisfy diverse needs. We argue that…

Databases · Computer Science 2025-08-11 Keonwoo Oh , Pooja Nilangekar , Amol Deshpande

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

As researchers collect increasingly large molecular data sets to reconstruct the Tree of Life, the heterogeneity of signals in the genomes of diverse organisms poses challenges for traditional phylogenetic analysis. A class of phylogenetic…

Populations and Evolution · Quantitative Biology 2015-09-11 Liang Liu , Zhenxiang Xi , Shaoyuan Wu , Charles Davis , Scott V. Edwards

Given a rooted, binary phylogenetic network and a rooted, binary phylogenetic tree, can the tree be embedded into the network? This problem, called \textsc{Tree Containment}, arises when validating networks constructed by phylogenetic…

Populations and Evolution · Quantitative Biology 2024-02-14 Leo van Iersel , Mark Jones , Mathias Weller

Phylogenetic networks extend phylogenetic trees to allow for modeling reticulate evolutionary processes such as hybridization. They take the shape of a rooted, directed, acyclic graph, and when parameterized with evolutionary parameters,…

Populations and Evolution · Quantitative Biology 2018-08-28 R. A. L. Elworth , H. A. Ogilvie , J. Zhu , L. Nakhleh

The evolutionary relationships between species are typically represented in the biological literature by rooted phylogenetic trees. However, a tree fails to capture ancestral reticulate processes, such as the formation of hybrid species or…

Populations and Evolution · Quantitative Biology 2024-12-09 Johanna Heiss , Daniel H. Huson , Mike Steel

Optimizing scientific computing algorithms for modern GPUs is a labor-intensive and iterative process involving repeated code modification, benchmarking, and tuning across complex hardware and software stacks. Recent work has explored large…

Artificial Intelligence · Computer Science 2026-01-22 Leyi Zhao , Weijie Huang , Yitong Guo , Jiang Bian , Chenghong Wang , Xuhong Zhang

Structural parameters of graphs, such as treewidth, play a central role in the study of the parameterized complexity of graph problems. Motivated by the study of parametrized algorithms on phylogenetic networks, scanwidth was introduced…

Computational Complexity · Computer Science 2026-02-09 Jannik Schestag , Norbert Zeh

The enormous diversity of life forms thriving in drastically different environmental milieus involves a complex interplay among constituent proteins interacting with each other. However, the organizational principles characterizing the…

Molecular Networks · Quantitative Biology 2024-01-30 Vikram Singh , Vikram Singh

Phylogenetic trees are simple models of evolutionary processes. They describe conditionally independent divergent evolution of taxa from common ancestors. Phylogenetic trees commonly do not have enough flexibility to adequately model all…

Populations and Evolution · Quantitative Biology 2025-11-11 Jonathan D. Mitchell , Barbara R. Holland

While modern biotechnologies allow synthesizing new proteins and function measurements at scale, efficiently exploring a protein sequence space and engineering it remains a daunting task due to the vast sequence space of any given protein.…

Biomolecules · Quantitative Biology 2024-01-15 Jiahao Qiu , Hui Yuan , Jinghong Zhang , Wentao Chen , Huazheng Wang , Mengdi Wang

Phylogenomics heavily relies on well-curated sequence data sets that consist, for each gene, exclusively of 1:1-orthologous. Paralogs are treated as a dangerous nuisance that has to be detected and removed. We show here that this severe…

Discrete Mathematics · Computer Science 2017-12-19 Marc Hellmuth , Nicolas Wieseke , Marcus Lechner , Hans-Peter Lenhof , Martin Middendorf , Peter F. Stadler

Phylogenomic analyses are subject to bias from compositional convergence and noise from horizontal gene transfer (HGT). Compositional convergence is a likely cause of controversy regarding phylogeny of the SAR11 group of Alphaproteobacteria…

Populations and Evolution · Quantitative Biology 2015-06-16 Katherine C. H. Amrine , Wesley D. Swingley , David H. Ardell

Autoregressive language models demonstrate excellent performance in various scenarios. However, the inference efficiency is limited by its one-step-one-word generation mode, which has become a pressing problem recently as the models become…

Computation and Language · Computer Science 2025-04-25 Jikai Wang , Yi Su , Juntao Li , Qingrong Xia , Zi Ye , Xinyu Duan , Zhefeng Wang , Min Zhang

'Tree-based' phylogenetic networks proposed by Francis and Steel have attracted much attention of theoretical biologists in the last few years. At the heart of the definitions of tree-based phylogenetic networks is the notion of 'support…

Combinatorics · Mathematics 2019-04-30 Momoko Hayamizu , Kazuhisa Makino

Bayesian inference has predominantly relied on the Markov chain Monte Carlo (MCMC) algorithm for many years. However, MCMC is computationally laborious, especially for complex phylogenetic models of time trees. This bottleneck has led to…

Populations and Evolution · Quantitative Biology 2024-06-27 Mathieu Fourment , Matthew Macaulay , Christiaan J Swanepoel , Xiang Ji , Marc A Suchard , Frederick A Matsen

Molecular phylogenetic techniques do not generally account for such common evolutionary events as site insertions and deletions (known as indels). Instead tree building algorithms and ancestral state inference procedures typically rely on…

Probability · Mathematics 2011-09-07 Alexandr Andoni , Constantinos Daskalakis , Avinatan Hassidim , Sebastien Roch