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Estimating the abundances of all $k$-mers in a set of biological sequences is a fundamental and challenging problem with many applications in biological analysis. While several methods have been designed for the exact or approximate…

Quantitative Methods · Quantitative Biology 2019-02-28 Leonardo Pellegrina , Cinzia Pizzi , Fabio Vandin

Background: Short sequence substrings of a fixed length k, called k-mers, are a ubiquitous computational primitive in bioinformatics, used across sequence indexing, read mapping, genome assembly, metagenomic classification, and comparative…

Genomics · Quantitative Biology 2026-05-15 Lucas Czech

Counting the frequencies of k-mers in read libraries is often a first step in the analysis of high-throughput sequencing experiments. Infrequent k-mers are assumed to be a result of sequencing errors. The frequent k-mers constitute a…

Genomics · Quantitative Biology 2013-05-09 Rajat Shuvro Roy , Debashish Bhattacharya , Alexander Schliep

A major challenge in next-generation genome sequencing (NGS) is to assemble massive overlapping short reads that are randomly sampled from DNA fragments. To complete assembling, one needs to finish a fundamental task in many leading…

Genomics · Quantitative Biology 2015-05-26 Yang Li , XifengYan

Motivation: Building the histogram of occurrences of every $k$-symbol long substring of nucleotide data is a standard step in many bioinformatics applications, known under the name of $k$-mer counting. Its applications include developing de…

Data Structures and Algorithms · Computer Science 2017-03-03 Sebastian Deorowicz , Marek Kokot , Szymon Grabowski , Agnieszka Debudaj-Grabysz

In computational biology, $k$-mers and edit distance are fundamental concepts. However, little is known about the metric space of all $k$-mers equipped with the edit distance. In this work, we explore the structure of the $k$-mer space by…

Data Structures and Algorithms · Computer Science 2023-03-21 Leran Ma , Ke Chen , Mingfu Shao

We propose a frame-based representation of k-mers for detecting sequencing errors and rare variants in next generation sequencing data obtained from populations of closely related genomes. Frames are sets of non-orthogonal basis functions,…

Genomics · Quantitative Biology 2016-04-19 Raunaq Malhotra , Manjari Mukhopadhyay , Mary Poss , Raj Acharya

The analysis of biological sequencing data has been one of the biggest applications of string algorithms. The approaches used in many such applications are based on the analysis of k-mers, which are short fixed-length strings present in a…

Data Structures and Algorithms · Computer Science 2020-06-15 Rayan Chikhi , Jan Holub , Paul Medvedev

We propose a lightweight data structure for indexing and querying collections of NGS reads data in main memory. The data structure supports the interface proposed in the pioneering work by Philippe et al. for counting and locating $k$-mers…

Data Structures and Algorithms · Computer Science 2017-03-03 Tomasz Kowalski , Szymon Grabowski , Sebastian Deorowicz

The extraction of k-mers from sequencing reads is an important task in many bioinformatics applications, such as all DNA sequence analysis methods based on de Bruijn graphs. These methods tend to be more accurate when the used k-mers are…

Genomics · Quantitative Biology 2021-10-01 Miika Leinonen , Leena Salmela

Many commonly studied species now have more than one chromosome-scale genome assembly, revealing a large amount of genetic diversity previously missed by approaches that map short reads to a single reference. However, many species still…

Populations and Evolution · Quantitative Biology 2024-09-19 Miles D. Roberts , Olivia Davis , Emily B. Josephs , Robert J. Williamson

The formal version of our work has been published in BMC Bioinformatics and can be found here: http://www.biomedcentral.com/1471-2105/13/S6/S1 Motivation: To tackle the problem of huge memory usage associated with de Bruijn graph-based…

Data Structures and Algorithms · Computer Science 2013-01-10 Chengxi Ye , Charles H. Cannon , Zhanshan Sam Ma , Douglas W. Yu , Mihai Pop

The wide array of currently available genomes display a wonderful diversity in size, composition and structure with many more to come thanks to several global biodiversity genomics initiatives starting in recent years. However, sequencing…

Minimizers are sampling schemes with numerous applications in computational biology. Assuming a fixed alphabet of size $\sigma$, a minimizer is defined by two integers $k,w\ge2$ and a linear order $\rho$ on strings of length $k$ (also…

Data Structures and Algorithms · Computer Science 2025-06-06 Arseny Shur

Hyperparameter tuning is one of the the most time-consuming parts in machine learning. Despite the existence of modern optimization algorithms that minimize the number of evaluations needed, evaluations of a single setting may still be…

Machine Learning · Computer Science 2024-03-27 Philip Buczak , Andreas Groll , Markus Pauly , Jakob Rehof , Daniel Horn

A basic task in bioinformatics is the counting of $k$-mers in genome strings. The $k$-mer counting problem is to build a histogram of all substrings of length $k$ in a given genome sequence. We present the open source $k$-mer counting…

Data Structures and Algorithms · Computer Science 2016-07-25 Marius Erbert , Steffen Rechner , Matthias Müller-Hannemann

String Kernel (SK) techniques, especially those using gapped $k$-mers as features (gk), have obtained great success in classifying sequences like DNA, protein, and text. However, the state-of-the-art gk-SK runs extremely slow when we…

Machine Learning · Computer Science 2017-09-19 Ritambhara Singh , Arshdeep Sekhon , Kamran Kowsari , Jack Lanchantin , Beilun Wang , Yanjun Qi

A central limitation of multiple-acquisition magnetic resonance imaging (MRI) is the degradation in scan efficiency as the number of distinct datasets grows. Sparse recovery techniques can alleviate this limitation via randomly undersampled…

Image and Video Processing · Electrical Eng. & Systems 2017-10-03 L Kerem Senel , Toygan Kilic , Alper Gungor , Emre Kopanoglu , H Emre Guven , Emine U Saritas , Aykut Koc , Tolga Cukur

Over the last decade, there has been an increasing interest in temporal graphs, pushed by a growing availability of temporally-annotated network data coming from social, biological and financial networks. Despite the importance of analyzing…

Data Structures and Algorithms · Computer Science 2020-10-06 Quintino Francesco Lotito , Alberto Montresor

Frequencies of $k$-mers in sequences are sometimes used as a basis for inferring phylogenetic trees without first obtaining a multiple sequence alignment. We show that a standard approach of using the squared-Euclidean distance between…

Populations and Evolution · Quantitative Biology 2016-01-15 Elizabeth S. Allman , John A. Rhodes , Seth Sullivant
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