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Enumerating characteristic substrings (e.g., maximal repeats, minimal unique substrings, and minimal absent words) in a given string has been an important research topic because there are a wide variety of applications in various areas such…

Data Structures and Algorithms · Computer Science 2021-03-03 Takaaki Nishimoto , Yasuo Tabei

Detecting all the strings that occur in a text more frequently or less frequently than expected according to an IID or a Markov model is a basic problem in string mining, yet current algorithms are based on data structures that are either…

Data Structures and Algorithms · Computer Science 2015-08-13 Djamal Belazzougui , Fabio Cunial

Technology progress in DNA sequencing boosts the genomic database growth at faster and faster rate. Compression, accompanied with random access capabilities, is the key to maintain those huge amounts of data. In this paper we present an…

Computational Engineering, Finance, and Science · Computer Science 2011-03-14 Szymon Grabowski , Sebastian Deorowicz

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

We show how to build several data structures of central importance to string processing, taking as input the Burrows-Wheeler transform (BWT) and using small extra working space. Let $n$ be the text length and $\sigma$ be the alphabet size.…

Data Structures and Algorithms · Computer Science 2019-08-14 Nicola Prezza , Giovanna Rosone

The move structure represents permutations with long contiguously permuted intervals in compressed space with optimal query time. They have become an important feature of compressed text indexes using space proportional to the number of…

Data Structures and Algorithms · Computer Science 2026-04-28 Nathaniel K. Brown , Ben Langmead

A weight based dynamic compression method has recently been proposed, which is especially suitable for the encoding of files with locally skewed distributions. Its main idea is to assign larger weights to closer to be encoded symbols by…

Data Structures and Algorithms · Computer Science 2021-05-24 Aharon Fruchtman , Yoav Gross , Shmuel T. Klein , Dana Shapira

A standard format used for storing the output of high-throughput sequencing experiments is the FASTQ format. It comprises three main components: (i) headers, (ii) bases (nucleotide sequences), and (iii) quality scores. FASTQ files are…

Data Structures and Algorithms · Computer Science 2023-04-19 Veronica Guerrini , Felipe A. Louza , Giovanna Rosone

High-throughput DNA sequencers are becoming indispensable in our understanding of diseases at molecular level, in marker-assisted selection in agriculture and in microbial genetics research. These sequencing instruments produce enormous…

Genomics · Quantitative Biology 2014-02-05 Saurabh Gupta , Sanjoy Chaudhury 'and' Binay Panda

Modern genomic analyses increasingly rely on pangenomes, that is, representations of the genome of entire populations. The simplest representation of a pangenome is a set of individual genome sequences. Compared to e.g. sequence graphs,…

Genomics · Quantitative Biology 2025-11-25 Jannik Olbrich , Enno Ohlebusch

Mantaci et al. [TCS 2007] defined the eBWT to extend the definition of the BWT to a collection of strings, however, since this introduction, it has been used more generally to describe any BWT of a collection of strings and the fundamental…

Data Structures and Algorithms · Computer Science 2021-06-22 Christina Boucher , Davide Cenzato , Zsuzsanna Lipták , Massimiliano Rossi , Marinella Sciortino

The suffix tree is arguably the most fundamental data structure on strings: introduced by Weiner (SWAT 1973) and McCreight (JACM 1976), it allows solving a myriad of computational problems on strings in linear time. Motivated by its large…

Data Structures and Algorithms · Computer Science 2026-05-07 Ruben Becker , Davide Cenzato , Travis Gagie , Sung-Hwan Kim , Ragnar Groot Koerkamp , Giovanni Manzini , Nicola Prezza

Relative compression, where a set of similar strings are compressed with respect to a reference string, is a very effective method of compressing DNA datasets containing multiple similar sequences. Relative compression is fast to perform…

Quantitative Methods · Quantitative Biology 2011-06-21 Shanika Kuruppu , Simon Puglisi , Justin Zobel

Transformer-based models, exemplified by GPT-3, ChatGPT, and GPT-4, have recently garnered considerable attention in both academia and industry due to their promising performance in general language tasks. Nevertheless, these models…

Computation and Language · Computer Science 2023-09-19 Gaochen Dong , Wei Chen

DNA is a leading candidate as the next archival storage media due to its density, durability and sustainability. To read (and write) data DNA storage exploits technology that has been developed over decades to sequence naturally occurring…

Emerging Technologies · Computer Science 2022-05-12 Jasmine Quah , Omer Sella , Thomas Heinis

While achieving a compression ratio of 2.0 bits/base, the new algorithm codes non-N bases in fixed length. It dramatically reduces the time of coding and decoding than previous DNA compression algorithms and some universal compression…

Information Theory · Computer Science 2007-07-16 Jie Liu , Sheng Bao , Zhiqiang Jing , Shi Chen

Motivation: Second generation sequencing technology makes it feasible for many researches to obtain enough sequence reads to attempt the de novo assembly of higher eukaryotes (including mammals). De novo assembly not only provides a tool…

Genomics · Quantitative Biology 2010-08-17 Thomas C Conway , Andrew J Bromage

The paper introduces a new lossless, highly robust compression algorithm that similar with LZW algorithm, yet the algorithm discards dictionary processing and uses irregular sequences with massive, random information instead. Then the paper…

Signal Processing · Electrical Eng. & Systems 2020-06-24 Rui Zhu

The large memory requirements of deep neural networks limit their deployment and adoption on many devices. Model compression methods effectively reduce the memory requirements of these models, usually through applying transformations such…

Machine Learning · Computer Science 2017-11-15 Brandon Reagen , Udit Gupta , Robert Adolf , Michael M. Mitzenmacher , Alexander M. Rush , Gu-Yeon Wei , David Brooks

Some recent results have introduced external-memory algorithms to compute self-indexes of a set of strings, mainly via computing the Burrows-Wheeler Transform (BWT) of the input strings. The motivations for those results stem from…

Data Structures and Algorithms · Computer Science 2015-06-12 Paola Bonizzoni , Gianluca Della Vedova , Yuri Pirola , Marco Previtali , Raffaella Rizzi
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