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The $r$-index (Gagie et al., JACM 2020) represented a breakthrough in compressed indexing of repetitive text collections, outperforming its alternatives by orders of magnitude. Its space usage, $\mathcal{O}(r)$ where $r$ is the number of…

Data Structures and Algorithms · Computer Science 2021-03-30 Dustin Cobas , Travis Gagie , Gonzalo Navarro

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

A well-known fact in the field of lossless text compression is that high-order entropy is a weak model when the input contains long repetitions. Motivated by this, decades of research have generated myriads of so-called dictionary…

Data Structures and Algorithms · Computer Science 2020-12-17 Dominik Kempa , Nicola Prezza

Cuckoo hashing [4] is a multiple choice hashing scheme in which each item can be placed in multiple locations, and collisions are resolved by moving items to their alternative locations. In the classical implementation of two-way cuckoo…

Data Structures and Algorithms · Computer Science 2011-11-16 Ely Porat , Bar Shalem

This paper proposes a general framework for matching similar subsequences in both time series and string databases. The matching results are pairs of query subsequences and database subsequences. The framework finds all possible pairs of…

Databases · Computer Science 2012-08-02 Haohan Zhu , George Kollios , Vassilis Athitsos

A weighted string over an alphabet of size $\sigma$ is a string in which a set of letters may occur at each position with respective occurrence probabilities. Weighted strings, also known as position weight matrices or uncertain sequences,…

Data Structures and Algorithms · Computer Science 2015-12-09 Carl Barton , Chang Liu , Solon P. Pissis

We present a new universal source code for distributions of unlabeled binary and ordinal trees that achieves optimal compression to within lower order terms for all tree sources covered by existing universal codes. At the same time, it…

Data Structures and Algorithms · Computer Science 2021-09-06 J. Ian Munro , Patrick K. Nicholson , Louisa Seelbach Benkner , Sebastian Wild

Computing over compressed data combines the space saving of data compression with efficient support for queries directly on the compressed representation. Such data structures are widely applied in text indexing and have been successfully…

Data Structures and Algorithms · Computer Science 2025-06-27 Ziad Ismaili Alaoui , Namrata , Sebastian Wild

A large fraction of an XML document typically consists of text data. The XPath query language allows text search via the equal, contains, and starts-with predicates. Such predicates can efficiently be implemented using a compressed…

Databases · Computer Science 2011-10-06 A. Arroyuelo , F. Claude , S. Maneth , V. Mäkinen , G. Navarro , K. Nguyen , J. Siren , N. Välimäki

String matching is the problem of finding all the substrings of a text which match a given pattern. It is one of the most investigated problems in computer science, mainly due to its very diverse applications in several fields. Recently,…

Data Structures and Algorithms · Computer Science 2017-07-04 Domenico Cantone , Simone Faro , Arianna Pavone

Grammar-based compression is a widely-accepted model of string compression that allows for efficient and direct manipulations on the compressed data. Most, if not all, such manipulations rely on the primitive \emph{random access} queries, a…

Data Structures and Algorithms · Computer Science 2024-07-12 Alan M. Cleary , Joseph Winjum , Jordan Dood , Shunsuke Inenaga

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

Given a binary string $\omega$ over the alphabet $\{0, 1\}$, a vector $(a, b)$ is a Parikh vector if and only if a factor of $\omega$ contains exactly $a$ occurrences of $0$ and $b$ occurrences of $1$. Answering whether a vector is a Parikh…

Data Structures and Algorithms · Computer Science 2025-01-03 Luís Cunha , Mário Medina

In this work, we tackle a natural variation of the String Matching Problem on the case of a dynamic pattern, that is, given a static text $T$ and a pattern $P$, we want to support character additions and deletions to the pattern, and after…

Data Structures and Algorithms · Computer Science 2025-06-16 Bruno Monteiro , Vinicius dos Santos

Maximal frequent patterns superset checking plays an important role in the efficient mining of complete Maximal Frequent Itemsets (MFI) and maximal search space pruning. In this paper we present a new indexing approach, FastLMFI for local…

Databases · Computer Science 2016-11-17 Shariq Bashir , Abdul Rauf Baig

The paper is concerned with the time efficient processing of spatiotemporal predicates, i.e. spatial predicates associated with an exact temporal constraint. A set of such predicates forms a buffer query or a Spatio-temporal Pattern (STP)…

Databases · Computer Science 2008-12-18 Lagogiannis George , Lorentzos Nikos , Sioutas Spyros , Theodoridis Evaggelos

The compressed indexing problem is to preprocess a string $S$ of length $n$ into a compressed representation that supports pattern matching queries. That is, given a string $P$ of length $m$ report all occurrences of $P$ in $S$. We present…

Data Structures and Algorithms · Computer Science 2018-04-12 Anders Roy Christiansen , Mikko Berggren Ettienne

The problem of finding factors of a text string which are identical or similar to a given pattern string is a central problem in computer science. A generalised version of this problem consists in implementing an index over the text to…

Data Structures and Algorithms · Computer Science 2016-02-04 Carl Barton , Tomasz Kociumaka , Solon P. Pissis , Jakub Radoszewski

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

The ability of fast similarity search at large scale is of great importance to many Information Retrieval (IR) applications. A promising way to accelerate similarity search is semantic hashing which designs compact binary codes for a large…

Information Retrieval · Computer Science 2010-04-30 Dell Zhang , Jun Wang , Deng Cai , Jinsong Lu