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In recent years, pangenomes received increasing attention from the scientific community for their ability to incorporate population variation information and alleviate reference genome bias. Maximal Exact Matches (MEMs) and Maximal Unique…

Data Structures and Algorithms · Computer Science 2022-05-04 Sara Giuliani , Giuseppe Romana , Massimiliano Rossi

Multi-parameter persistent homology is a recent branch of topological data analysis. In this area, data sets are investigated through the lens of homology with respect to two or more scale parameters. The high computational cost of many…

Algebraic Topology · Mathematics 2020-10-30 Michael Kerber , Alexander Rolle

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…

Data Structures and Algorithms · Computer Science 2017-07-13 Travis Gagie , Gonzalo Navarro , Nicola Prezza

Data subset selection aims to find a smaller yet informative subset of a large dataset that can approximate the full-dataset training, addressing challenges associated with training neural networks on large-scale datasets. However, existing…

Machine Learning · Computer Science 2024-06-06 Hoyong Choi , Nohyun Ki , Hye Won Chung

Sublinear time quantum algorithms have been established for many fundamental problems on strings. This work demonstrates that new, faster quantum algorithms can be designed when the string is highly compressible. We focus on two popular and…

Data Structures and Algorithms · Computer Science 2023-02-15 Daniel Gibney , Sharma V. Thankachan

Bioinformatics research is characterized by voluminous and incremental datasets and complex data analytics methods. The machine learning methods used in bioinformatics are iterative and parallel. These methods can be scaled to handle big…

Computational Engineering, Finance, and Science · Computer Science 2015-06-17 Hirak Kashyap , Hasin Afzal Ahmed , Nazrul Hoque , Swarup Roy , Dhruba Kumar Bhattacharyya

Selecting appropriate values for the configurable parameters of Database Management Systems (DBMS) to improve performance is a significant challenge. Recent machine learning (ML)-based tuning systems have shown strong potential, but their…

Databases · Computer Science 2026-04-01 Yibo Wang , Jiale Lao , Chen Zhang , Cehua Yang , Jianguo Wang , Mingjie Tang

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

In this paper, we consider the problem of compressing a trie while supporting the powerful \emph{locate} queries: to return the pre-order identifiers of all nodes reached by a path labeled with a given query pattern. Our result builds on…

Data Structures and Algorithms · Computer Science 2020-12-18 Nicola Prezza

We show that the Longest Common Prefix Array of a text collection of total size n on alphabet [1, {\sigma}] can be computed from the Burrows-Wheeler transformed collection in O(n log {\sigma}) time using o(n log {\sigma}) bits of working…

Data Structures and Algorithms · Computer Science 2019-01-23 Nicola Prezza , Giovanna Rosone

The Burrows Wheeler transform has applications in data compression as well as full text indexing. Despite its important applications and various existing algorithmic approaches the construction of the transform for large data sets is still…

Data Structures and Algorithms · Computer Science 2016-04-25 German Tischler

Topological invariants of a dataset, such as the number of holes that survive from one length scale to another (persistent Betti numbers) can be used to analyze and classify data in machine learning applications. We present an improved…

Quantum Physics · Physics 2026-04-15 Sam McArdle , András Gilyén , Mario Berta

The Tsetlin Machine (TM) is an interpretable mechanism for pattern recognition that constructs conjunctive clauses from data. The clauses capture frequent patterns with high discriminating power, providing increasing expression power with…

Machine Learning · Computer Science 2020-01-15 Adrian Phoulady , Ole-Christoffer Granmo , Saeed Rahimi Gorji , Hady Ahmady Phoulady

We propose a new algorithm for merging succinct representations of de Bruijn graphs introduced in [Bowe et al. WABI 2012]. Our algorithm is based on the lightweight BWT merging approach by Holt and McMillan [Bionformatics 2014, ACM-BCB…

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

Given a string of characters, the Burrows-Wheeler Transform rearranges the characters in it so as to produce another string of the same length which is more amenable to compression techniques such as move to front, run-length encoding, and…

Data Structures and Algorithms · Computer Science 2012-01-17 Joseph Yossi Gil , David Allen Scott

A new array based data structure named black-white array (BWA) is introduced as an effective and efficient alternative to the list or tree based data structures for dynamic data set. It consists of two sub-arrays, one white and one black of…

Data Structures and Algorithms · Computer Science 2020-04-21 Z. George Mou

For general repeated measures designs the Wald-type statistic (WTS) is an asymptotically valid procedure allowing for unequal covariance matrices and possibly non-normal multivariate observations. The drawback of this procedure is the poor…

Methodology · Statistics 2016-06-24 Sarah Friedrich , Edgar Brunner , Markus Pauly

In this paper we show how to use one or more assembled or partially assembled genome as the basis for a compressed full-text index of its readset. Specifically, we build a labelled tree by taking the assembled genome as a trunk and grafting…

Data Structures and Algorithms · Computer Science 2021-06-02 Travis Gagie , Garance Gourdel , Giovanni Manzini

With the growing scale of big data, probabilistic structures receive increasing popularity for efficient approximate storage and query processing. For example, Bloom filters (BF) can achieve satisfactory performance for approximate…

Data Structures and Algorithms · Computer Science 2019-12-17 Yue Fu , Rong Du , Haibo Hu , Man Ho Au , Dagang Li

The sort transform (ST) is a modification of the Burrows-Wheeler transform (BWT). Both transformations map an arbitrary word of length n to a pair consisting of a word of length n and an index between 1 and n. The BWT sorts all rotation…

Data Structures and Algorithms · Computer Science 2009-08-04 Manfred Kufleitner
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