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Indexing highly repetitive texts - such as genomic databases, software repositories and versioned text collections - has become an important problem since the turn of the millennium. A relevant compressibility measure for repetitive texts…

Data Structures and Algorithms · Computer Science 2020-12-17 Travis Gagie , Gonzalo Navarro , Nicola Prezza

The Burrows-Wheeler Transform (BWT) is among the most influential discoveries in text compression and DNA storage. It is a reversible preprocessing step that rearranges an $n$-letter string into runs of identical characters (by exploiting…

Data Structures and Algorithms · Computer Science 2018-12-06 Sandip Sinha , Omri Weinstein

We introduce a compressed suffix array representation that, on a text $T$ of length $n$ over an alphabet of size $\sigma$, can be built in $O(n)$ deterministic time, within $O(n\log\sigma)$ bits of working space, and counts the number of…

Data Structures and Algorithms · Computer Science 2017-09-05 J. Ian Munro , Gonzalo Navarro , Yakov Nekrich

Large-alphabet strings are common in scenarios such as information retrieval and natural-language processing. The efficient storage and processing of such strings usually introduces several challenges that are not witnessed in…

Data Structures and Algorithms · Computer Science 2024-05-03 Diego Arroyuelo , Gabriel Carmona , Héctor Larrañaga , Francisco Riveros , Carlos Eugenio Rojas-Morales , Erick Sepúlveda

Indexing highly repetitive strings (i.e., strings with many repetitions) for fast queries has become a central research topic in string processing, because it has a wide variety of applications in bioinformatics and natural language…

Data Structures and Algorithms · Computer Science 2021-04-19 Takaaki Nishimoto , Yasuo Tabei

Advances in DNA sequencing mean databases of thousands of human genomes will soon be commonplace. In this paper we introduce a simple technique for reducing the size of conventional indexes on such highly repetitive texts. Given upper…

Data Structures and Algorithms · Computer Science 2015-06-16 H. Ferrada , T. Gagie , T. Hirvola , S. J. Puglisi

The Burrows-Wheeler Transform (BWT) is a string transformation technique widely used in areas such as bioinformatics and file compression. Many applications combine a run-length encoding (RLE) with the BWT in a way which preserves the…

Discrete Mathematics · Computer Science 2025-09-18 Lily Major , Amanda Clare , Jacqueline W. Daykin , Benjamin Mora , Christine Zarges

In this paper, we describe a new type of match between a pattern and a text that aren't necessarily maximal in the query, but still contain useful matching information: locally maximal exact matches (LEMs). There are usually a large amount…

Data Structures and Algorithms · Computer Science 2025-05-22 Ahsan Sanaullah , Degui Zhi , Shaojie Zhang

The Burrows-Wheeler transform (BWT) is used by the bzip2 family of compressors. In this paper, we present a hardware architecture that implements an inplace algorithm to compute the BWT. Our design does not have explicit storage for the…

Signal Processing · Electrical Eng. & Systems 2022-09-07 Kleber Stangherlin , Andrew Kennings

The Burrows-Wheeler Transform (BWT) is a fundamental component in many data structures for text indexing and compression, widely used in areas such as bioinformatics and information retrieval. The extended BWT (eBWT) generalizes the…

Data Structures and Algorithms · Computer Science 2025-06-06 Florian Ingels , Anaïs Denis , Bastien Cazaux

Motivation: Rapid technological progress in DNA sequencing has stimulated interest in compressing the vast datasets that are now routinely produced. Relatively little attention has been paid to compressing the quality scores that are…

Genomics · Quantitative Biology 2013-05-02 Lilian Janin , Giovanna Rosone , Anthony J. Cox

The Burrows-Wheeler transform (BWT) is a permutation whose applications are prevalent in data compression and text indexing. The bijective BWT (BBWT) is a bijective variant of it. Although it is known that the BWT can be constructed in…

Data Structures and Algorithms · Computer Science 2021-04-23 Hideo Bannai , Juha Kärkkäinen , Dominik Köppl , Marcin Picatkowski

In this article we extend the elegant in-place Burrows-Wheeler transform (BWT) algorithm proposed by Crochemore et al. (Crochemore et al., 2015). Our extension is twofold: we first show how to compute simultaneously the longest common…

Data Structures and Algorithms · Computer Science 2018-06-08 Felipe A. Louza , Travis Gagie , Guilherme P. Telles

High-dimensional token embeddings underpin Large Language Models (LLMs), as they can capture subtle semantic information and significantly enhance the modelling of complex language patterns. However, this high dimensionality also introduces…

Computation and Language · Computer Science 2024-10-07 Mingxue Xu , Yao Lei Xu , Danilo P. Mandic

Current efficient fine-tuning methods (e.g., adapters, prefix-tuning, etc.) have optimized conditional text generation via training a small set of extra parameters of the neural language model, while freezing the rest for efficiency. While…

Computation and Language · Computer Science 2022-05-24 Marjan Ghazvininejad , Vladimir Karpukhin , Vera Gor , Asli Celikyilmaz

Teaching new information to pre-trained large language models (PLM) is a crucial but challenging task. Model adaptation techniques, such as fine-tuning and parameter-efficient training have been shown to store new facts at a slow rate;…

Computation and Language · Computer Science 2024-09-02 Maxime Méloux , Christophe Cerisara

DNA sequencing, especially of microbial genomes and metagenomes, has been at the core of recent research advances in large-scale comparative genomics. The data deluge has resulted in exponential growth in genomic datasets over the past…

Efficient methods for storing and querying are critical for scaling high-order n-gram language models to large corpora. We propose a language model based on compressed suffix trees, a representation that is highly compact and can be easily…

Computation and Language · Computer Science 2016-08-17 Ehsan Shareghi , Matthias Petri , Gholamreza Haffari , Trevor Cohn

The advent of "next-generation" DNA sequencing (NGS) technologies has meant that collections of hundreds of millions of DNA sequences are now commonplace in bioinformatics. Knowing the longest common prefix array (LCP) of such a collection…

Data Structures and Algorithms · Computer Science 2013-05-02 Markus J. Bauer , Anthony J. Cox , Giovanna Rosone , Marinella Sciortino

DNA sequencing technology has advanced to a point where storage is becoming the central bottleneck in the acquisition and mining of more data. Large amounts of data are vital for genomics research, and generic compression tools, while…

Information Theory · Computer Science 2016-11-15 Bobbie Chern , Idoia Ochoa , Alexandros Manolakos , Albert No , Kartik Venkat , Tsachy Weissman