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Related papers: Prefix-free parsing for merging big BWTs

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FM-indexes are a crucial data structure in DNA alignment, for example, but searching with them usually takes at least one random access per character in the query pattern. Ferragina and Fischer observed in 2007 that word-based indexes often…

Data Structures and Algorithms · Computer Science 2023-05-11 Aaron Hong , Marco Oliva , Dominik Köppl , Hideo Bannai , Christina Boucher , Travis Gagie

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

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

Prefix parsing asks whether an input prefix can be extended to a complete string generated by a given grammar. In the weighted setting, it also provides prefix probabilities, which are central to context-free language modeling,…

Computation and Language · Computer Science 2026-05-05 Clemente Pasti , Andreas Opedal , Timothy J. O'Donnell , Ryan Cotterell , Tim Vieira

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

The FM-index is a well-known compressed full-text index, based on the Burrows-Wheeler transform (BWT). During a pattern search, the BWT sequence is accessed at "random" locations, which is cache-unfriendly. In this paper, we are interested…

Data Structures and Algorithms · Computer Science 2015-12-08 Szymon Grabowski , Aleksander Cisłak

The Burrows-Wheeler Transform (BWT) is an invertible text transformation that permutes symbols of a text according to the lexicographical order of its suffixes. BWT is the main component of popular lossless compression programs (such as…

Data Structures and Algorithms · Computer Science 2021-04-13 Dominik Kempa , Tomasz Kociumaka

Memoryless computation is a new technique to compute any function of a set of registers by updating one register at a time while using no memory. Its aim is to emulate how computations are performed in modern cores, since they typically…

Computational Complexity · Computer Science 2013-10-23 Peter J. Cameron , Ben Fairbairn , Maximilien Gadouleau

We explore whether it is possible to build lighter parsers, that are statistically equivalent to their corresponding standard version, for a wide set of languages showing different structures and morphologies. As testbed, we use the…

Computation and Language · Computer Science 2018-10-23 David Vilares , Carlos Gómez-Rodríguez

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

The boom of genomic sequencing makes compression of set of sequences inescapable. This underlies the need for multi-string indexing data structures that helps compressing the data. The most prominent example of such data structures is the…

Data Structures and Algorithms · Computer Science 2021-11-18 Bastien Cazaux , Eric Rivals

The Burrows-Wheeler Transform (BWT) of a string is an invertible permutation of the string, which can be used for data compression and compact indexes for string pattern matching. Ganguly et al. [SODA, 2017] introduced the parameterized BWT…

Data Structures and Algorithms · Computer Science 2025-05-12 Shogen Kawanami , Kento Iseri , Tomohiro I

Standard Byte-Pair Encoding (BPE) tokenization compresses text by pairing a learned token vocabulary with a detailed merge list. Recent work has shown that this merge list exposes a potential attack surface for extracting information about…

Computation and Language · Computer Science 2025-08-12 Tomohiro Sawada , Kartik Goyal

Training data memorization in NLP can both be beneficial (e.g., closed-book QA) and undesirable (personal data extraction). In any case, successful model training requires a non-trivial amount of memorization to store word spellings,…

Computation and Language · Computer Science 2021-12-03 Eugene Kharitonov , Marco Baroni , Dieuwke Hupkes

Conventional mutual information (MI) based feature selection (FS) methods are unable to handle heterogeneous feature subset selection properly because of data format differences or estimation methods of MI between feature subset and class…

Machine Learning · Statistics 2015-03-31 Min Wei , Tommy W. S. Chow , Rosa H. M. Chan

Modern Foundation Models (FMs) are typically trained on corpora spanning a wide range of different data modalities, topics and downstream tasks. Utilizing these models can be very computationally expensive and is out of reach for most…

Machine Learning · Computer Science 2025-06-09 Andrey Zhmoginov , Jihwan Lee , Mark Sandler

Bayesian clustering accounts for uncertainty but is computationally demanding at scale. Furthermore, real-world datasets often contain missing values, and simple imputation ignores the associated uncertainty, resulting in suboptimal…

Machine Learning · Computer Science 2026-03-18 Prajit Bhaskaran , Tom Viering

Pretrained Foundation Models (PFMs) are regarded as the foundation for various downstream tasks with different data modalities. A PFM (e.g., BERT, ChatGPT, and GPT-4) is trained on large-scale data which provides a reasonable parameter…

Advances in DNA sequencing technology have stimulated the development of algorithms and tools for processing very large collections of short strings (reads). Short-read alignment and assembly are among the most well-studied problems. Many…

Genomics · Quantitative Biology 2014-01-30 Chi-Man Liu , Ruibang Luo , Tak-Wah Lam

The fast Fourier transform (FFT) is undoubtedly an essential primitive that has been applied in various fields of science and engineering. In this paper, we present a decomposition method for parallelization of multi-dimensional FFTs with…

Numerical Analysis · Computer Science 2013-02-26 Truong Vinh Truong Duy , Taisuke Ozaki