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Recovering a tree that represents the evolutionary history of a group of species is a key task in phylogenetics. Performing this task using sequence data from multiple genetic markers poses two key challenges. The first is the discordance…

Populations and Evolution · Quantitative Biology 2026-03-12 Ortal Reshef , Ofer Glassman , Or Zuk , Yariv Aizenbud , Boaz Nadler , Ariel Jaffe

We study a character-based phylogeny reconstruction problem when an incomplete set of data is given. More specifically, we consider the situation under the directed perfect phylogeny assumption with binary characters in which for some…

Data Structures and Algorithms · Computer Science 2012-03-16 Masashi Kiyomi , Yoshio Okamoto , Toshiki Saitoh

Finding the most parsimonious tree inside a phylogenetic network with respect to a given character is an NP-hard combinatorial optimization problem that for many network topologies is essentially inapproximable. In contrast, if the network…

Populations and Evolution · Quantitative Biology 2025-01-14 Martin Frohn , Steven Kelk

Genetic recombination can produce heterogeneous phylogenetic histories within a set of homologous genes. Delineating recombination events is important in the study of molecular evolution, as inference of such events provides a clearer…

Populations and Evolution · Quantitative Biology 2007-09-13 Cheong Xin Chan , Robert G. Beiko , Mark A. Ragan

We present a revisit of the seeds algorithm to explore the semigroup tree. First, an equivalent definition of seed is presented, which seems easier to manage. Second, we determine the seeds of semigroups with at most three left elements.…

Combinatorics · Mathematics 2023-08-11 Maria Bras-Amorós

We introduce a simple algorithm for reconstructing phylogenies from multiple gene trees in the presence of incomplete lineage sorting, that is, when the topology of the gene trees may differ from that of the species tree. We show that our…

Populations and Evolution · Quantitative Biology 2011-09-30 Elchanan Mossel , Sebastien Roch

Likelihood-based methods are widely considered the best approaches for reconstructing ancestral states. Although much effort has been made to study properties of these methods, previous works often assume that both the tree topology and…

Methodology · Statistics 2021-04-02 Lam Si Tung Ho , Edward Susko

Single individual haplotyping is an NP-hard problem that emerges when attempting to reconstruct an organism's inherited genetic variations using data typically generated by high-throughput DNA sequencing platforms. Genomes of diploid…

Machine Learning · Computer Science 2019-09-04 Somsubhra Barik , Haris Vikalo

We present an efficient phylogenetic reconstruction algorithm allowing insertions and deletions which provably achieves a sequence-length requirement (or sample complexity) growing polynomially in the number of taxa. Our algorithm is…

Probability · Mathematics 2013-02-25 Constantinos Daskalakis , Sebastien Roch

Data-efficient image classification is a challenging task that aims to solve image classification using small training data. Neural network-based deep learning methods are effective for image classification, but they typically require…

Neural and Evolutionary Computing · Computer Science 2022-12-05 Ying Bi , Bing Xue , Mengjie Zhang

Phylogenetic trees illustrate the evolutionary history of genes and species. In most cases, although genes evolve along with the species they belong to, a species tree and gene tree are not identical, because of evolutionary events at the…

Data Structures and Algorithms · Computer Science 2019-02-25 Damir Hasic , Eric Tannier

This paper surveys results on complexity of the optimal recombination problem (ORP), which consists in finding the best possible offspring as a result of a recombination operator in a genetic algorithm, given two parent solutions. We…

Neural and Evolutionary Computing · Computer Science 2013-07-23 Anton V. Eremeev , Julia V. Kovalenko

The binary perfect phylogeny model is too restrictive to model biological events such as back mutations. In this paper we consider a natural generalization of the model that allows a special type of back mutation. We investigate the problem…

Data Structures and Algorithms · Computer Science 2012-06-29 Paola Bonizzoni , Chiara Braghin , Riccardo Dondi , Gabriella Trucco

Whole and targeted sequencing of human genomes is a promising, increasingly feasible tool for discovering genetic contributions to risk of complex diseases. A key step is calling an individual's genotype from the multiple aligned short read…

Applications · Statistics 2012-06-29 Baiyu Zhou , Alice S. Whittemore

Mapping genotypes to phenotypes (G2P) is a fundamental goal in biology. So called PhyloG2P methods are a relatively new set of tools that leverage replicated evolution in phylogenetically independent lineages to identify genomic regions…

Populations and Evolution · Quantitative Biology 2025-10-20 Arlie R. Macdonald , Maddie E. James , Jonathan D. Mitchell , Barbara R. Holland

For families, kinship coefficients are quantifications of the amount of genetic sharing between a pair of individuals. These coefficients are critical for understanding the breeding habits and genetic diversity of diploid populations.…

Data Structures and Algorithms · Computer Science 2016-02-20 Bonnie Kirkpatrick

The reconstruction of the history of evolutionary genome-wide events among a set of related organisms is of great biological interest. A simplified model that captures only content modifying operations was introduced recently. It allows the…

Combinatorics · Mathematics 2012-08-15 Stefan Canzar , Sandro Andreotti

We consider the problem of estimating a large causal polytree from a relatively small i.i.d. sample. This is motivated by the problem of determining causal structure when the number of variables is very large compared to the sample size,…

Methodology · Statistics 2024-08-20 Sourav Chatterjee , Mathukumalli Vidyasagar

Phylogenetic networks are a generalization of phylogenetic trees that allow for the representation of non-treelike evolutionary events, like recombination, hybridization, or lateral gene transfer. In this paper, we present and study a new…

Populations and Evolution · Quantitative Biology 2007-08-28 Gabriel Cardona , Francesc Rossello , Gabriel Valiente

Retrieval of family members in the wild aims at finding family members of the given subject in the dataset, which is useful in finding the lost children and analyzing the kinship. However, due to the diversity in age, gender, pose and…

Computer Vision and Pattern Recognition · Computer Science 2020-06-02 Jun Yu , Guochen Xie , Mengyan Li , Xinlong Hao
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