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Related papers: Sampling the suffix array with minimizers

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Given a text $T$ of length $n$, we propose a deterministic online algorithm computing the sparse suffix array and the sparse longest common prefix array of $T$ in $O(c \sqrt{\lg n} + m \lg m \lg n \lg^* n)$ time with $O(m)$ words of space…

Data Structures and Algorithms · Computer Science 2018-03-26 Johannes Fischer , Tomohiro I , Dominik Köppl

We present a simple algorithm for computing the document array given a string collection and its suffix array as input. Our algorithm runs in linear time using constant additional space for strings from constant alphabets.

Data Structures and Algorithms · Computer Science 2020-09-10 Felipe A. Louza

The suffix tree is a very important data structure in string processing, but it suffers from a huge space consumption. In large-scale applications, compressed suffix trees (CSTs) are therefore used instead. A CST consists of three…

Data Structures and Algorithms · Computer Science 2010-12-21 Simon Gog , Enno Ohlebusch

Approximate dictionary matching is a classic string matching problem (checking if a query string occurs in a collection of strings) with applications in, e.g., spellchecking, online catalogs, geolocation, and web searchers. We present a…

Data Structures and Algorithms · Computer Science 2016-02-15 Aleksander Cisłak , Szymon Grabowski

Document listing on string collections is the task of finding all documents where a pattern appears. It is regarded as the most fundamental document retrieval problem, and is useful in various applications. Many of the fastest-growing…

Data Structures and Algorithms · Computer Science 2019-02-21 Dustin Cobas , Gonzalo Navarro

This paper proposes an efficient example selection method for example-based word sense disambiguation systems. To construct a practical size database, a considerable overhead for manual sense disambiguation is required. Our method is…

cmp-lg · Computer Science 2008-02-03 Atsushi Fujii , Kentaro Inui , Takenobu Tokunaga , Hozumi Tanaka

We prove that longest common prefix (LCP) information can be stored in much less space than previously known. More precisely, we show that in the presence of the text and the suffix array, o(n) additional bits are sufficient to answer…

Data Structures and Algorithms · Computer Science 2010-02-19 Johannes Fischer

Suffix sort plays a critical role in various computational algorithms including genomics as well as in frequently used day to day software applications. The sorting algorithm becomes tricky when we have lot of repeated characters in the…

Data Structures and Algorithms · Computer Science 2022-10-05 Kunal Chowdhury

We present a new efficient method for approximate search in electronic lexica. Given an input string (the pattern) and a similarity threshold, the algorithm retrieves all entries of the lexicon that are sufficiently similar to the pattern.…

Computation and Language · Computer Science 2015-12-04 Stefan Gerdjikov , Stoyan Mihov , Petar Mitankin , Klaus U. Schulz

The suffix array is a data structure that finds numerous applications in string processing problems for both linguistic texts and biological data. It has been introduced as a memory efficient alternative for suffix trees. The suffix array…

Data Structures and Algorithms · Computer Science 2013-07-05 Sanguthevar Rajasekaran , Marius Nicolae

We study the problem of indexing text with wildcard positions, motivated by the challenge of aligning sequencing data to large genomes that contain millions of single nucleotide polymorphisms (SNPs)---positions known to differ between…

Data Structures and Algorithms · Computer Science 2011-01-28 Chris Thachuk

In recent years, a lot of attention has been devoted to efficient nearest neighbor search by means of similarity-preserving hashing. One of the plights of existing hashing techniques is the intrinsic trade-off between performance and…

Computer Vision and Pattern Recognition · Computer Science 2014-02-18 Jonathan Masci , Alex M. Bronstein , Michael M. Bronstein , Pablo Sprechmann , Guillermo Sapiro

We describe a very simple method for `consistent sampling' that allows for sampling with replacement. The method extends previous approaches to consistent sampling, which assign a pseudorandom real number to each element, and sample those…

Data Structures and Algorithms · Computer Science 2018-08-31 Ronald L. Rivest

This short paper describes a simple coding technique, Sparse Sequential Dirichlet Coding, for multi-alphabet memoryless sources. It is appropriate in situations where only a small, unknown subset of the possible alphabet symbols can be…

Information Theory · Computer Science 2012-06-19 Joel Veness , Marcus Hutter

Shapelets are discriminative time series subsequences that allow generation of interpretable classification models, which provide faster and generally better classification than the nearest neighbor approach. However, the shapelet discovery…

Machine Learning · Computer Science 2017-02-23 Atif Raza , Stefan Kramer

This letter presents a recursive technique to synthesize the array factor (AF) of a concentric ring array. In this method, first, the problem is modeled using the traditional least square method (LSM). In the second step, a recursive…

Signal Processing · Electrical Eng. & Systems 2023-06-13 Atefe Akbari-Bardaskan

In the synthesis model signals are represented as a sparse combinations of atoms from a dictionary. Dictionary learning describes the acquisition process of the underlying dictionary for a given set of training samples. While ideally this…

Machine Learning · Statistics 2015-03-11 Matthias Seibert , Martin Kleinsteuber , Rémi Gribonval , Rodolphe Jenatton , Francis Bach

Given string $S[1..N]$ and integer $k$, the {\em suffix selection} problem is to determine the $k$th lexicographically smallest amongst the suffixes $S[i... N]$, $1 \leq i \leq N$. We study the suffix selection problem in the cache-aware…

Data Structures and Algorithms · Computer Science 2009-02-11 Gianni Franceschini , Roberto Grossi , S. Muthukrishnan

Order-preserving pattern matching was introduced recently but it has already attracted much attention. Given a reference sequence and a pattern, we want to locate all substrings of the reference sequence whose elements have the same…

Data Structures and Algorithms · Computer Science 2018-12-11 Gianni Decaroli , Travis Gagie , Giovanni Manzini

The suffix array is the key to efficient solutions for myriads of string processing problems in different applications domains, like data compression, data mining, or Bioinformatics. With the rapid growth of available data, suffix array…

Data Structures and Algorithms · Computer Science 2016-10-11 Timo Bingmann , Simon Gog , Florian Kurpicz