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Motivation: Low-complexity (LC) DNA sequences are compositionally repetitive sequences that are often associated with spurious homologous matches and variant calling artifacts. While algorithms for identifying LC sequences exist, they…

Genomics · Quantitative Biology 2025-11-18 Heng Li , Brian Li

We propose an external memory algorithm for the computation of the BWT and LCP array for a collection of sequences. Our algorithm takes the amount of available memory as an input parameter, and tries to make the best use of it by splitting…

Data Structures and Algorithms · Computer Science 2020-09-10 Lavinia Egidi , Felipe A. Louza , Giovanni Manzini , Guilherme P. Telles

The k-spectrum of a string is the set of all distinct substrings of length k occurring in the string. K-spectra have many applications in bioinformatics including pseudoalignment and genome assembly. The Spectral Burrows-Wheeler Transform…

Data Structures and Algorithms · Computer Science 2023-06-09 Jarno N. Alanko , Elena Biagi , Simon J. Puglisi

Motivation: Data volumes generated by next-generation sequencing technolo- gies is now a major concern, both for storage and transmission. This triggered the need for more efficient methods than general purpose compression tools, such as…

Data Structures and Algorithms · Computer Science 2014-12-19 Gaëtan Benoit , Claire Lemaitre , Dominique Lavenier , Guillaume Rizk

Next Generation Sequencing (NGS), a recently evolved technology, have served a lot in the research and development sector of our society. This novel approach is a newbie and has critical advantages over the traditional Capillary…

Genomics · Quantitative Biology 2020-05-01 Khalid Raza , Sabahuddin Ahmad

The paper describes an algorithm to compute a consensus sequence from a set of DNA sequences of approximatively identical length generated by 3rd sequencing generation technologies. Its purpose targets DNA storage and is guided by specific…

Data Structures and Algorithms · Computer Science 2021-05-12 Dominique Lavenier

Recurrent networks have achieved great success on various sequential tasks with the assistance of complex recurrent units, but suffer from severe computational inefficiency due to weak parallelization. One direction to alleviate this issue…

Computation and Language · Computer Science 2019-06-03 Biao Zhang , Rico Sennrich

Frequent pattern mining is widely used to find ``important'' or ``interesting'' patterns in data. While it is not easy to mathematically define such patterns, maximal frequent patterns are promising candidates, as frequency is a natural…

Data Structures and Algorithms · Computer Science 2025-04-08 Giovanni Buzzega , Alessio Conte , Yasuaki Kobayashi , Kazuhiro Kurita , Giulia Punzi

Motivation The Burrows-Wheeler transform (BWT) is the foundation of many algorithms for compression and indexing of text data, but the cost of computing the BWT of very large string collections has prevented these techniques from being…

Data Structures and Algorithms · Computer Science 2015-03-20 Anthony J. Cox , Markus J. Bauer , Tobias Jakobi , Giovanna Rosone

Motivation: Despite significant advances in Third-Generation Sequencing (TGS) technologies, Next-Generation Sequencing (NGS) technologies remain dominant in the current sequencing market. This is due to the lower error rates and richer…

Information Theory · Computer Science 2023-04-04 Jia Wang , Yi Niu , Tianyi Xu , Mingming Ma , Dahua Gao , Guangming Shi

Next-generation sequencing (NGS) technologies have enabled affordable sequencing of billions of short DNA fragments at high throughput, paving the way for population-scale genomics. Genomics data analytics at this scale requires overcoming…

Databases · Computer Science 2019-10-11 Darryl Ho , Jialin Ding , Sanchit Misra , Nesime Tatbul , Vikram Nathan , Vasimuddin Md , Tim Kraska

Recently, Holt and McMillan [Bionformatics 2014, ACM-BCB 2014] have proposed a simple and elegant algorithm to merge the Burrows-Wheeler transforms of a family of strings. In this paper we show that the H&M algorithm can be improved so…

Data Structures and Algorithms · Computer Science 2016-09-16 Giovanni Manzini

In this study, we propose a simple and effective preprocessing method for subword segmentation based on a data compression algorithm. Compression-based subword segmentation has recently attracted significant attention as a preprocessing…

Computation and Language · Computer Science 2023-03-02 Keita Nonaka , Kazutaka Yamanouchi , Tomohiro I , Tsuyoshi Okita , Kazutaka Shimada , Hiroshi Sakamoto

Matching statistics were introduced to solve the approximate string matching problem, which is a recurrent subroutine in bioinformatics applications. In 2010, Ohlebusch et al. [SPIRE 2010] proposed a time and space efficient algorithm for…

Data Structures and Algorithms · Computer Science 2023-01-16 Alessio Conte , Nicola Cotumaccio , Travis Gagie , Giovanni Manzini , Nicola Prezza , Marinella Sciortino

The Shortest Common Superstring (SCS) problem is a fundamental task in sequence analysis. In genome assembly, however, the double-stranded nature of DNA implies that each fragment may occur either in its original orientation or as its…

Data Structures and Algorithms · Computer Science 2026-03-30 Ryosuke Yamano , Tetsuo Shibuya

Finding the longest common subsequence in $k$-length substrings (LCS$k$) is a recently proposed problem motivated by computational biology. This is a generalization of the well-known LCS problem in which matching symbols from two sequences…

Data Structures and Algorithms · Computer Science 2013-11-20 Sebastian Deorowicz , Szymon Grabowski

This paper focuses on pattern matching in the DNA sequence. It was inspired by a previously reported method that proposes encoding both pattern and sequence using prime numbers. Although fast, the method is limited to rather small pattern…

Computer Vision and Pattern Recognition · Computer Science 2016-11-21 Janja Paliska Soldo , Ana Sovic Krzic , and Damir Sersic

This paper shows that a simple algorithm produces the {\em all-prefixes-LCSs-graph} in $O(mn)$ time for two input sequences of size $m$ and $n$. Given any prefix $p$ of the first input sequence and any prefix $q$ of the second input…

Data Structures and Algorithms · Computer Science 2011-03-09 Ronald I. Greenberg

Genome and metagenome comparisons based on large amounts of next-generation sequencing (NGS) data pose significant challenges for alignment-based approaches due to the huge data size and the relatively short length of the reads.…

Quantitative Methods · Quantitative Biology 2018-03-28 Jie Ren , Xin Bai , Yang Young Lu , Kujin Tang , Ying Wang , Gesine Reinert , Fengzhu Sun

The LCP array is an important tool in stringology, allowing to speed up pattern matching algorithms and enabling compact representations of the suffix tree. Recently, Conte et al. [DCC 2023] and Cotumaccio et al. [SPIRE 2023] extended the…

Data Structures and Algorithms · Computer Science 2024-04-23 Jarno Alanko , Davide Cenzato , Nicola Cotumaccio , Sung-Hwan Kim , Giovanni Manzini , Nicola Prezza