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Beerenwinkel et al.(2007) suggested studying fitness landscapes via regular subdivisions of convex polytopes. Building on their approach we propose cluster partitions and cluster filtrations of fitness landscapes as a new mathematical tool.…

Quantitative Methods · Quantitative Biology 2019-05-06 Holger Eble , Michael Joswig , Lisa Lamberti , Will Ludington

Most Machine Learning (ML) methods, from clustering to classification, rely on a distance function to describe relationships between datapoints. For complex datasets it is hard to avoid making some arbitrary choices when defining a distance…

Machine Learning · Statistics 2016-07-04 Gina Gruenhage , Manfred Opper , Simon Barthelme

Phylogenetic networks extend phylogenetic trees to model non-vertical inheritance, by which a lineage inherits material from multiple parents. The computational complexity of estimating phylogenetic networks from genome-wide data with…

Populations and Evolution · Quantitative Biology 2022-06-28 Jingcheng Xu , Cécile Ané

Phylogenetic networks generalize phylogenetic trees by allowing reticulate evolutionary events such as horizontal gene transfer and hybridization. Among the many subclasses of phylogenetic networks, orchard networks have attracted…

Populations and Evolution · Quantitative Biology 2026-05-20 Peng Li , Zhiwei Liu , Yangjing Long

Among the distance based algorithms in phylogenetic tree reconstruction, the neighbor-joining algorithm has been a widely used and effective method. We propose a new algorithm which counts the number of consistent quartets for cherry…

Populations and Evolution · Quantitative Biology 2023-10-31 Jin-Hwan Cho , Dosang Joe , Young Rock Kim

In computational biology and bioinformatics, the manner to understand evolution processes within various related organisms paid a lot of attention these last decades. However, accurate methodologies are still needed to discover genes…

Neural and Evolutionary Computing · Computer Science 2016-11-15 Bassam AlKindy , Christophe Guyeux , Jean-François Couchot , Michel Salomon , Jacques M. Bahi

Phylogenetic networks are rooted acyclic directed graphs in which the leaves are identified with members of a set X of species. The cluster of a vertex is the set of leaves that are descendants of the vertex. A network is "distinct-cluster"…

Combinatorics · Mathematics 2017-04-11 Stephen J. Willson

Phylogenomic approaches developed thus far are either too time-consuming or lack a solid evolutionary basis. Moreover, no phylogenomic approach is capable of constructing a tree directly from unassembled raw sequencing data. A new…

Quantitative Methods · Quantitative Biology 2013-01-22 Huiguang Yi

In this paper, a decimal first degree cellular automata (FDCA) based clustering algorithm is proposed where clusters are created based on reachability. Cyclic spaces are created and configurations which are in the same cycle are treated as…

Formal Languages and Automata Theory · Computer Science 2024-05-09 Vicky Vikrant , Narodia Parth P , Kamalika Bhattacharjee

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

Sound correspondence patterns form the basis of cognate detection and phonological reconstruction in historical language comparison. Methods for the automatic inference of correspondence patterns from phonetically aligned cognate sets have…

Computation and Language · Computer Science 2025-12-09 Frederic Blum , Johann-Mattis List

Computer simulations are an important tool for studying the mechanics of biological evolution. In particular, in silico work with agent-based models provides an opportunity to collect high-quality records of ancestry relationships among…

Neural and Evolutionary Computing · Computer Science 2024-10-03 Matthew Andres Moreno , Anika Ranjan , Emily Dolson , Luis Zaman

Inspired by the effectiveness of genetic algorithms and the importance of synthesizability in molecular design, we present SynGA, a simple genetic algorithm that operates directly over synthesis routes. Our method features custom crossover…

Machine Learning · Computer Science 2026-03-03 Alston Lo , Connor W. Coley , Wojciech Matusik

The three dimensional structure of DNA in the nucleus (chromatin) plays an important role in many cellular processes. Recent experimental advances have led to high-throughput methods of capturing information about chromatin conformation on…

Genomics · Quantitative Biology 2015-11-05 Kevin Emmett , Benjamin Schweinhart , Raul Rabadan

A fundamental task in human chromosome analysis is chromosome segmentation. Segmentation plays an important role in chromosome karyotyping. The first step in segmentation is to remove intrusive objects such as stain debris and other noises.…

Computer Vision and Pattern Recognition · Computer Science 2014-09-02 Shervin Minaee , Mehran Fotouhi , Babak Hossein Khalaj

Phylogenetic reconstruction aims at finding plausible hypotheses of the evolutionary history of genes or species based on genomic sequence information. The distinction of orthologous genes (genes that having a common ancestry and diverged…

Populations and Evolution · Quantitative Biology 2016-02-29 Marc Hellmuth , Nicolas Wieseke

In this paper, we define a distance for the HSL colour system. Next, the proposed distance is used for a fuzzy colour clustering algorithm construction. The presented algorithm is related to the well-known fuzzy c-means algorithm. Finally,…

Computer Vision and Pattern Recognition · Computer Science 2015-05-22 Vasile Patrascu

In the past decade, transcriptome data have become an important component of many phylogenetic studies. Phylogenetic studies now regularly include genes from newly sequenced transcriptomes, as well as publicly available transcriptomes and…

Genomics · Quantitative Biology 2014-01-14 Casey W. Dunn , Mark Howison , Felipe Zapata

A difficult step in the process of karyotyping is segmenting chromosomes that touch or overlap. In an attempt to automate the process, previous studies turned to Deep Learning methods, with some formulating the task as a semantic…

Machine Learning · Computer Science 2022-03-25 Daniel Kluvanec , Thomas B. Phillips , Kenneth J. W. McCaffrey , Noura Al Moubayed

Phylogenetic reconciliation seeks to explain host-symbiont co-evolution by mapping parasite trees onto host trees through events such as cospeciation, duplication, host switching, and loss. Finding an optimal reconciliation that ensures…

Populations and Evolution · Quantitative Biology 2026-02-02 Cyriac Antony , Alessio Martino , Blerina Sinaimeri
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