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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

The Word Mover's Distance (WMD) proposed by Kusner et al. is a distance between documents that takes advantage of semantic relations among words that are captured by their embeddings. This distance proved to be quite effective, obtaining…

Computation and Language · Computer Science 2020-05-12 Matheus Werner , Eduardo Laber

The Burrows-Wheeler-Transform (BWT) is an invertible permutation of a text known to be highly compressible but also useful for sequence analysis, what makes the BWT highly attractive for lossless data compression. In this paper, we present…

Data Structures and Algorithms · Computer Science 2018-04-06 Uwe Baier

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

Introduced about thirty years ago in the field of Data Compression, the Burrows-Wheeler Transform (BWT) is a string transformation that, besides being a booster of the performance of memoryless compressors, plays a fundamental role in the…

Data Structures and Algorithms · Computer Science 2023-05-09 Raffaele Giancarlo , Giovanni Manzini , Antonio Restivo , Giovanna Rosone , Marinella Sciortino

The Burrows-Wheeler transform (BWT) is a well studied text transformation widely used in data compression and text indexing. The BWT of two strings can also provide similarity measures between them, based on the observation that the more…

Data Structures and Algorithms · Computer Science 2020-09-10 Felipe A. Louza , Guilherme P. Telles , Simon Gog , Liang Zhao

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

The amount of unstructured text-based data is growing every day. Querying, clustering, and classifying this big data requires similarity computations across large sets of documents. Whereas low-complexity similarity metrics are available,…

The Burrows-Wheeler transform (BWT) is a reversible transform that converts a string $w$ into another string $\mathsf{BWT}(w)$. The size of the run-length encoded BWT (RLBWT) can be interpreted as a measure of repetitiveness in the class of…

Discrete Mathematics · Computer Science 2024-11-19 Hideo Bannai , Tomohiro I , Yuto Nakashima

In order to avoid the reference bias introduced by mapping reads to a reference genome, bioinformaticians are investigating reference-free methods for analyzing sequenced genomes. With large projects sequencing thousands of individuals,…

Data Structures and Algorithms · Computer Science 2016-01-15 Jouni Sirén

The Burrows-Wheeler transform (BWT) is integral to the FM-index, which is used extensively in text compression, indexing, pattern search, and bioinformatic problems as de novo assembly and read alignment. Thus, efficient construction of the…

Data Structures and Algorithms · Computer Science 2025-02-04 Enno Adler , Stefan Böttcher , Rita Hartel , Cederic Alexander Steininger

Due to the exponential growth of genomic data, constructing dedicated data structures has become the principal bottleneck in common bioinformatics applications. In particular, the Burrows-Wheeler Transform (BWT) is the basis of some of the…

Data Structures and Algorithms · Computer Science 2023-05-15 Francesco Masillo

The Burrows-Wheeler Transform (BWT) is an important technique both in data compression and in the design of compact indexing data structures. It has been generalized from single strings to collections of strings and some classes of labeled…

Data Structures and Algorithms · Computer Science 2019-05-30 Jarno Alanko , Travis Gagie , Gonzalo Navarro , Louisa Seelbach Benkner

Distance weighted discrimination (DWD) is a linear discrimination method that is particularly well-suited for classification tasks with high-dimensional data. The DWD coefficients minimize an intuitive objective function, which can solved…

Methodology · Statistics 2020-10-08 Eric F. Lock

The Burrows-Wheeler Transform is a string transformation that plays a fundamental role for the design of self-indexing compressed data structures. Over the years, researchers have successfully extended this transformation outside the…

Data Structures and Algorithms · Computer Science 2019-02-05 Raffaele Giancarlo , Giovanni Manzini , Giovanna Rosone , Marinella Sciortino

The Burrows-Wheeler Transform (BWT) serves as the basis for many important sequence indexes. On very large datasets (e.g. genomic databases), classical BWT construction algorithms are often infeasible because they usually need to have the…

Data Structures and Algorithms · Computer Science 2025-09-24 Jannik Olbrich

In this paper we propose a flexible and lightweight technique for merging compressed indices based on variants of Burrows-Wheeler transform (BWT), thus addressing the need for algorithms that compute compressed indices over large…

Data Structures and Algorithms · Computer Science 2019-03-06 Lavinia Egidi , Giovanni Manzini

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

A novel linear classification method that possesses the merits of both the Support Vector Machine (SVM) and the Distance-weighted Discrimination (DWD) is proposed in this article. The proposed Distance-weighted Support Vector Machine method…

Machine Learning · Statistics 2015-10-09 Xingye Qiao , Lingsong Zhang

The Burrows-Wheeler-Transform (BWT), a reversible string transformation, is one of the fundamental components of many current data structures in string processing. It is central in data compression, as well as in efficient query algorithms…

Data Structures and Algorithms · Computer Science 2024-04-16 Sara Giuliani , Shunsuke Inenaga , Zsuzsanna Lipták , Nicola Prezza , Marinella Sciortino , Anna Toffanello
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