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Spatial indexes are crucial for the analysis of the increasing amounts of spatial data, for example generated through IoT applications. The plethora of indexes that has been developed in recent decades has primarily been optimised for disk.…

Databases · Computer Science 2020-08-11 Ali Hadian , Ankit Kumar , Thomas Heinis

The classic string indexing problem is to preprocess a string $S$ into a compact data structure that supports efficient subsequent pattern matching queries, that is, given a pattern string $P$, report all occurrences of $P$ within $S$. In…

Data Structures and Algorithms · Computer Science 2024-02-15 Philip Bille , Inge Li Gørtz , Max Rishøj Pedersen , Eva Rotenberg , Teresa Anna Steiner

Big data, encompassing extensive datasets, has seen rapid expansion, notably with a considerable portion being textual data, including strings and texts. Simple compression methods and standard data structures prove inadequate for…

Data Structures and Algorithms · Computer Science 2024-11-11 Takaaki Nishimoto , Yasuo Tabei

Nonlinear sparse sensing (NSS) techniques have been adopted for realizing compressive sensing (CS) in many applications such as Radar imaging and sparse channel estimation. Unlike the NSS, in this paper, we propose an adaptive sparse…

Information Theory · Computer Science 2014-07-24 Guan Gui , Li Xu , Xiao-mei Zhu , Zhang-xin Chen

Sequence representations supporting not only direct access to their symbols, but also rank/select operations, are a fundamental building block in many compressed data structures. Several recent applications need to represent highly…

Data Structures and Algorithms · Computer Science 2019-11-25 Alberto Ordóñez , Gonzalo Navarro , Nieves R. Brisaboa

In many real-world database systems, a large fraction of the data is represented by strings: sequences of letters over some alphabet. This is because strings can easily encode data arising from different sources. It is often crucial to…

Data Structures and Algorithms · Computer Science 2024-07-17 Lorraine A. K. Ayad , Grigorios Loukides , Solon P. Pissis

The move structure represents permutations with long contiguously permuted intervals in compressed space with optimal query time. They have become an important feature of compressed text indexes using space proportional to the number of…

Data Structures and Algorithms · Computer Science 2026-04-28 Nathaniel K. Brown , Ben Langmead

Learned indices have been proposed to replace classic index structures like B-Tree with machine learning (ML) models. They require to replace both the indices and query processing algorithms currently deployed by the databases, and such a…

Databases · Computer Science 2021-10-12 Tu Gu , Kaiyu Feng , Gao Cong , Cheng Long , Zheng Wang , Sheng Wang

Recently, a compressed index for similar strings, called the FM-index of alignment (FMA), has been proposed with the functionalities of pattern search and random access. The FMA is quite efficient in space requirement and pattern search…

Data Structures and Algorithms · Computer Science 2016-06-14 Joong Chae Na , Hyunjoon Kim , Seunghwan Min , Heejin Park , Thierry Lecroq , Martine Leonard , Laurent Mouchardd , Kunsoo Park

In this paper we study lower bounds for the fundamental problem of text indexing with mismatches and differences. In this problem we are given a long string of length $n$, the "text", and the task is to preprocess it into a data structure…

Data Structures and Algorithms · Computer Science 2018-12-24 Vincent Cohen-Addad , Laurent Feuilloley , Tatiana Starikovskaya

Natural language text corpora are often available as sets of syntactically parsed trees. A wide range of expressive tree queries are possible over such parsed trees that open a new avenue in searching over natural language text. They not…

Databases · Computer Science 2012-08-02 Pirooz Chubak , Davood Rafiei

Two recent lower bounds on the compressibility of repetitive sequences, $\delta \le \gamma$, have received much attention. It has been shown that a length-$n$ string $S$ over an alphabet of size $\sigma$ can be represented within the…

Data Structures and Algorithms · Computer Science 2023-11-10 Tomasz Kociumaka , Gonzalo Navarro , Francisco Olivares

Grammar based compression, where one replaces a long string by a small context-free grammar that generates the string, is a simple and powerful paradigm that captures many popular compression schemes. In this paper, we present a novel…

Data Structures and Algorithms · Computer Science 2013-10-30 Philip Bille , Gad M. Landau , Rajeev Raman , Kunihiko Sadakane , Srinivasa Rao Satti , Oren Weimann

Information Retrieval using dense low-dimensional representations recently became popular and showed out-performance to traditional sparse-representations like BM25. However, no previous work investigated how dense representations perform…

Information Retrieval · Computer Science 2021-06-10 Nils Reimers , Iryna Gurevych

We revisit the problem of finding shortest unique substring (SUS) proposed recently by [6]. We propose an optimal $O(n)$ time and space algorithm that can find an SUS for every location of a string of size $n$. Our algorithm significantly…

Data Structures and Algorithms · Computer Science 2014-01-14 Atalay Mert İleri , M. Oğuzhan Külekci , Bojian Xu

In Gapped String Indexing, the goal is to compactly represent a string $S$ of length $n$ such that for any query consisting of two strings $P_1$ and $P_2$, called patterns, and an integer interval $[\alpha, \beta]$, called gap range, we can…

Data Structures and Algorithms · Computer Science 2024-03-06 Philip Bille , Inge Li Gørtz , Moshe Lewenstein , Solon P. Pissis , Eva Rotenberg , Teresa Anna Steiner

Many applications need to process massive streams of spatio-textual data in real-time against continuous spatio-textual queries. For example, in location-aware ad targeting publish/subscribe systems, it is required to disseminate millions…

Databases · Computer Science 2017-10-06 Ahmed R. Mahmood , Ahmed M. Aly , Walid G. Aref

We introduce a new family of compressed data structures to efficiently store and query large string dictionaries in main memory. Our main technique is a combination of hierarchical Front-coding with ideas from longest-common-prefix…

Data Structures and Algorithms · Computer Science 2019-11-20 Nieves R. Brisaboa , Ana Cerdeira-Pena , Guillermo de Bernardo , Gonzalo Navarro

Current CNN-based super-resolution (SR) methods process all locations equally with computational resources being uniformly assigned in space. However, since missing details in low-resolution (LR) images mainly exist in regions of edges and…

Computer Vision and Pattern Recognition · Computer Science 2021-04-02 Longguang Wang , Xiaoyu Dong , Yingqian Wang , Xinyi Ying , Zaiping Lin , Wei An , Yulan Guo

The run-length compressed Burrows-Wheeler transform (RLBWT) used in conjunction with the backward search introduced in the FM index is the centerpiece of most compressed indexes working on highly-repetitive data sets like biological…

Data Structures and Algorithms · Computer Science 2021-10-05 Jin Jie Deng , Wing-Kai Hon , Dominik Köppl , Kunihiko Sadakane
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