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Galled trees, directed acyclic graphs that model evolutionary histories with isolated hybridization events, have become very popular due to both their biological significance and the existence of polynomial time algorithms for their…

Populations and Evolution · Quantitative Biology 2009-06-08 Gabriel Cardona , Merce Llabres , Francesc Rossello , Gabriel Valiente

Predicting the ancestral sequences of a group of homologous sequences related by a phylogenetic tree has been the subject of many studies, and numerous methods have been proposed to this purpose. Theoretical results are available that show…

Populations and Evolution · Quantitative Biology 2013-09-05 Olivier Gascuel , Mike Steel

Industrial robots can solve very complex tasks in controlled environments, but modern applications require robots able to operate in unpredictable surroundings as well. An increasingly popular reactive policy architecture in robotics is…

Robotics · Computer Science 2021-03-17 Jonathan Styrud , Matteo Iovino , Mikael Norrlöf , Mårten Björkman , Christian Smith

The way to infer well-supported phylogenetic trees that precisely reflect the evolutionary process is a challenging task that completely depends on the way the related core genes have been found. In previous computational biology studies,…

Trees are fundamental data structure for many areas of computer science and system engineering. In this report, we show how to ensure eventual consistency of optimistically replicated trees. In optimistic replication, the different replicas…

Data Structures and Algorithms · Computer Science 2012-01-10 Stéphane Martin , Mehdi Ahmed-Nacer , Pascal Urso

Given two messages - as linear sequences of letters, it is immediate to determine whether one can be transformed into the other by simple substitution cipher of the letters. On the other hand, if the letters are carried as labels on nodes…

Discrete Mathematics · Computer Science 2022-04-14 Florian Ingels , Romain Azaïs

A wide variety of problems in computational biology, most notably the assessment of orthology, are solved with the help of reciprocal best matches. Using an evolutionary definition of best matches that captures the intuition behind the…

We address phylogenetic reconstruction when the data is generated from a mixture distribution. Such topics have gained considerable attention in the biological community with the clear evidence of heterogeneity of mutation rates. In our…

Populations and Evolution · Quantitative Biology 2007-05-23 Daniel Stefankovic , Eric Vigoda

We propose a statistical method to test whether two phylogenetic trees with given alignments are significantly incongruent. Our method compares the two distributions of phylogenetic trees given by the input alignments, instead of comparing…

Populations and Evolution · Quantitative Biology 2010-04-14 Elissaveta Arnaoudova , David Haws , Peter Huggins , Jerzy W. Jaromczyk , Neil Moore , Chris Schardl , Ruriko Yoshida

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

Genomic data are rapidly resolving the tree of living species calibrated to time, the timetree of life, which will provide a framework for research in diverse fields of science. Previous analyses of taxonomically restricted timetrees have…

Populations and Evolution · Quantitative Biology 2014-12-16 S. Blair Hedges , Julie Marin , Michael Suleski , Madeline Paymer , Sudhir Kumar

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

A normal network is uniquely determined by the set of phylogenetic trees that it displays. Given a set $\mathcal{P}$ of rooted binary phylogenetic trees, this paper presents a polynomial-time algorithm that reconstructs the unique binary…

Combinatorics · Mathematics 2024-07-10 Magnus Bordewich , Simone Linz , Charles Semple

Decision trees are widely used for interpretable machine learning due to their clearly structured reasoning process. However, this structure belies a challenge we refer to as predictive equivalence: a given tree's decision boundary can be…

Machine Learning · Computer Science 2025-10-15 Hayden McTavish , Zachery Boner , Jon Donnelly , Margo Seltzer , Cynthia Rudin

Phylogenetic networks are used to represent evolutionary scenarios in biology and linguistics. To find the most probable scenario, it may be necessary to compare candidate networks, to distinguish different networks, and to see when one…

Combinatorics · Mathematics 2020-04-10 Remie Janssen , Yukihiro Murakami

A labeled gene tree topology that is more probable than the labeled gene tree topology matching a species tree is called \textit{anomalous}. Species trees that can generate such anomalous gene trees are said to be in the \textit{anomaly…

Populations and Evolution · Quantitative Biology 2019-11-06 Anastasiia Kim , Noah A. Rosenberg , James H. Degnan

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

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

Tree-child networks are a recently-described class of directed acyclic graphs that have risen to prominence in phylogenetics (the study of evolutionary trees and networks). Although these networks have a number of attractive mathematical…

Probability · Mathematics 2023-01-10 François Bienvenu , Amaury Lambert , Mike Steel

When genetic algorithms are used to evolve decision trees, key tree quality parameters can be recursively computed and re-used across generations of partially similar decision trees. Simply storing instance indices at leaves is enough for…

Artificial Intelligence · Computer Science 2009-03-11 Dimitris Kalles , Athanassios Papagelis