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Here we show that deciding whether two rooted binary phylogenetic trees on the same set of taxa permit a cherry-picking sequence, a special type of elimination order on the taxa, is NP-complete. This improves on an earlier result which…

Populations and Evolution · Quantitative Biology 2021-04-13 Janosch Döcker , Leo van Iersel , Steven Kelk , Simone Linz

Phylogenetic network is an evolutionary model that uses a rooted directed acyclic graph (instead of a tree) to model an evolutionary history of species in which reticulate events (e.g., hybrid speciation or horizontal gene transfer)…

Populations and Evolution · Quantitative Biology 2023-12-01 Yufeng Wu , Louxin Zhang

Likelihood-based phylogenetic inference is generally considered to be the most reliable classification method for unknown sequences. However, traditional likelihood-based phylogenetic methods cannot be applied to large volumes of short…

Populations and Evolution · Quantitative Biology 2010-04-01 Frederick A Matsen , Robin B Kodner , E Virginia Armbrust

Supertree construction is the process by which a set of phylogenetic trees, each on a subset of the overall set X of species, is combined into a tree on the full set S. The traditional use of supertree methods is the assembly of a large…

Populations and Evolution · Quantitative Biology 2018-05-10 Tandy Warnow

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

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

There are few, if any, algorithms in statistical phylogenetics which are used more heavily than Felsenstein's 1973 pruning method for computing the likelihood of a tree. We present LvD, (Likelihood via Decomposition), an alternative to…

Populations and Evolution · Quantitative Biology 2026-01-28 David Bryant , Celine Scornavacca , David Swofford

Large Language Models (LLMs) have demonstrated remarkable potential in handling complex reasoning tasks by generating step-by-step rationales.Some methods have proven effective in boosting accuracy by introducing extra verifiers to assess…

Computation and Language · Computer Science 2024-07-02 Mingqian He , Yongliang Shen , Wenqi Zhang , Zeqi Tan , Weiming Lu

In molecular phylogeny, relationships among organisms are reconstructed using DNA or protein sequences and are displayed as trees. A linear increase in the number of sequences results in an exponential increase of possible trees. Thus,…

Genomics · Quantitative Biology 2007-05-23 Kerstin Hoef-Emden

Scientists often run experiments to distinguish competing theories. This requires patience, rigor, and ingenuity - there is often a large space of possible experiments one could run. But we need not comb this space by hand - if we represent…

Artificial Intelligence · Computer Science 2016-08-18 Long Ouyang , Michael Henry Tessler , Daniel Ly , Noah Goodman

Models of random phylogenetic networks have been used since the inception of the field, but the introduction and rigorous study of mathematically tractable models is a much more recent topic that has gained momentum in the last 5 years.…

Populations and Evolution · Quantitative Biology 2024-11-20 François Bienvenu

Comparative analyses of phylogenetic trees typically require identical taxon sets, however, in practice, trees often include distinct but overlapping taxa. Pruning non-shared leaves discards phylogenetic signal, whereas tree completion can…

Populations and Evolution · Quantitative Biology 2026-04-28 Aleksandr Koshkarov , Nadia Tahiri

A consensus tree is a phylogenetic tree that synthesizes a given collection of phylogenetic trees, all of which share the same leaf labels but may have different topologies, typically obtained through bootstrapping. Our research focuses on…

Populations and Evolution · Quantitative Biology 2025-08-13 Elio Torquet , Jesper Jansson , Nadia Tahiri

Evolutionary histories for species that cross with one another or exchange genetic material can be represented by leaf-labelled, directed graphs called phylogenetic networks. A major challenge in the burgeoning area of phylogenetic networks…

Data Structures and Algorithms · Computer Science 2021-09-24 Leo van Iersel , Sjors Kole , Vincent Moulton , Leonie Nipius

Background: Establishing traceability from requirements documents to downstream artifacts early can be beneficial as it allows engineers to reason about requirements quality (e.g. completeness, consistency, redundancy). However, creating…

Software Engineering · Computer Science 2023-11-22 Michael Unterkalmsteiner

Phylogenetic analyses which include fossils or molecular sequences that are sampled through time require models that allow one sample to be a direct ancestor of another sample. As previously available phylogenetic inference tools assume…

Populations and Evolution · Quantitative Biology 2014-12-08 Alexandra Gavryushkina , David Welch , Tanja Stadler , Alexei Drummond

Language models generate reasoning sequentially, preventing them from decoupling irrelevant exploration paths during search. We introduce Tree-Structured Language Modeling (TSLM), which uses special tokens to encode branching structure,…

Computation and Language · Computer Science 2026-02-02 Doyoung Kim , Jaehyeok Doo , Minjoon Seo

Bayesian inference is now a leading technique for reconstructing phylogenetic trees from aligned sequence data. In this short note, we formally show that the maximum posterior tree topology provides a statistically consistent estimate of a…

Populations and Evolution · Quantitative Biology 2013-07-12 Mike Steel

The structure of an evolving network contains information about its past. Extracting this information efficiently, however, is, in general, a difficult challenge. We formulate a fast and efficient method to estimate the most likely history…

Physics and Society · Physics 2020-09-16 Gábor Timár , Rui A. da Costa , Sergey N. Dorogovtsev , José F. F. Mendes

Motivation: Word-based or `alignment-free' methods for phylogeny reconstruction are much faster than traditional approaches, but they are generally less accurate. Most of these methods calculate pairwise distances for a set of input…

Populations and Evolution · Quantitative Biology 2018-05-01 Thomas Dencker , Chris-Andre Leimeister , Michael Gerth , Christoph Bleidorn , Sagi Snir , Burkhard Morgenstern
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