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Related papers: Engineering Select Support for Hybrid Bitvectors

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Rank and select queries on bitmaps are essential building bricks of many compressed data structures, including text indexes, membership and range supporting spatial data structures, compressed graphs, and more. Theoretically considered yet…

Data Structures and Algorithms · Computer Science 2016-05-13 Szymon Grabowski , Marcin Raniszewski

Bit vectors with support for fast rank and select are a fundamental building block for compressed data structures. We close a gap between theory and practice by analyzing an important part of the design space and experimentally evaluating a…

Data Structures and Algorithms · Computer Science 2025-09-23 Florian Kurpicz , Niccolò Rigi-Luperti , Peter Sanders

Rank and select queries are basic operations on sequences, with applications in compressed text indexes and other space-efficient data structures. One of the standard data structures supporting these queries is the wavelet tree. In this…

Data Structures and Algorithms · Computer Science 2026-04-14 Eric Chiu , Dominik Kempa

Bit vectors are fundamental building blocks of many succinct data structures. They can be used to represent graphs, are an important part of many text indices in the form of the wavelet tree, and can be used to encode ordered sequences of…

Data Structures and Algorithms · Computer Science 2022-11-08 Florian Kurpicz

Bitvector filtering is an important query processing technique that can significantly reduce the cost of execution, especially for complex decision support queries with multiple joins. Despite its wide application, however, its implication…

Databases · Computer Science 2020-05-08 Bailu Ding , Surajit Chaudhuri , Vivek Narasayya

The successor and predecessor problem consists of obtaining the closest value in a set of integers, greater/smaller than a given value. This problem has interesting applications, like the intersection of inverted lists. It can be easily…

Data Structures and Algorithms · Computer Science 2020-02-27 Adrián Gómez-Brandón

Rank and select are fundamental operations in succinct data structures, that is, data structures whose space consumption approaches the information-theoretic optimal. The performance of these primitives is central to the overall performance…

Data Structures and Algorithms · Computer Science 2017-06-06 Prashant Pandey , Michael A. Bender , Rob Johnson

Given a text, rank and select queries return the number of occurrences of a character up to a position (rank) or the position of a character with a given rank (select). These queries have applications in, e.g., compression, computational…

Data Structures and Algorithms · Computer Science 2023-11-10 Matteo Ceregini , Florian Kurpicz , Rossano Venturini

Succinct data structures use space close to the information-theoretic minimum while answering queries directly on the compressed representation. In this paper, we present a practical engineering study of rank and select queries on bit…

Data Structures and Algorithms · Computer Science 2026-05-26 Ishant Garg

Rank and select data structures seek to preprocess a bit vector to quickly answer two kinds of queries: rank(i) gives the number of 1 bits in slots 0 through i, and select(j) gives the first slot s with rank(s) = j. A succinct data…

Data Structures and Algorithms · Computer Science 2024-05-09 Matthew D. Laws , Jocelyn Bliven , Kit Conklin , Elyes Laalai , Samuel McCauley , Zach S. Sturdevant

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

While operations {\em rank} and {\em select} on static bitvectors can be supported in constant time, lower bounds show that supporting updates raises the cost per operation to $\Theta(\log n/ \log\log n)$ on bitvectors holding $n$ bits.…

Data Structures and Algorithms · Computer Science 2025-05-22 Gonzalo Navarro

Counting the number of answers to conjunctive queries is a fundamental problem in databases that, under standard assumptions, does not have an efficient solution. The issue is inherently #P-hard, extending even to classes of acyclic…

Databases · Computer Science 2024-09-12 Hubie Chen , Gianluigi Greco , Stefan Mengel , Francesco Scarcello

The volume of data and the velocity with which it is being generated by com- putational experiments on high performance computing (HPC) systems is quickly outpacing our ability to effectively store this information in its full fidelity.…

Computation · Statistics 2014-07-14 Henry Scharf , Ryan Elmore , Kenny Gruchalla

We consider succinct data structures for representing a set of $n$ horizontal line segments in the plane given in rank space to support \emph{segment access}, \emph{segment selection}, and \emph{segment rank} queries. A segment access query…

Data Structures and Algorithms · Computer Science 2024-12-09 Philip Bille , Inge Li Gørtz , Simon R. Tarnow

We introduce a new technique for the efficient management of large sequences of multidimensional data, which takes advantage of regularities that arise in real-world datasets and supports different types of aggregation queries. More…

Data Structures and Algorithms · Computer Science 2018-03-08 Nieves R. Brisaboa , Guillermo de Bernardo , Gonzalo Navarro , Tirso V. Rodeiro , Diego Seco

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

Recently, Transformer-based encoder-decoder models have demonstrated strong performance in multilingual speech recognition. However, the decoder's autoregressive nature and large size introduce significant bottlenecks during inference.…

Audio and Speech Processing · Electrical Eng. & Systems 2025-08-28 Yunkyu Lim , Jihwan Park , Hyung Yong Kim , Hanbin Lee , Byeong-Yeol Kim

The goal of Feature Selection - comprising filter, wrapper, and embedded approaches - is to find the optimal feature subset for designated downstream tasks. Nevertheless, current feature selection methods are limited by: 1) the selection…

Machine Learning · Computer Science 2023-09-18 Meng Xiao , Dongjie Wang , Min Wu , Pengfei Wang , Yuanchun Zhou , Yanjie Fu

The vast increase in amount and complexity of digital content led to a wide interest in ad-hoc retrieval systems in recent years. Complementary, the existence of heterogeneous data sources and retrieval models stimulated the proliferation…

Computer Vision and Pattern Recognition · Computer Science 2019-07-03 Icaro Cavalcante Dourado , Ricardo da Silva Torres
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