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Bit arrays, or bitmaps, are used to significantly speed up set operations in several areas, such as data warehousing, information retrieval, and data mining, to cite a few. However, bitmaps usually use a large storage space, thus requiring…

Data Structures and Algorithms · Computer Science 2015-03-14 Alessandro Colantonio , Roberto Di Pietro

Orthogonal array, a classical and effective tool for collecting data, has been flourished with its applications in modern computer experiments and engineering statistics. Driven by the wide use of computer experiments with both qualitative…

Methodology · Statistics 2022-03-15 Yuanzhen He , C. Devon Lin , Fasheng Sun

We consider labeling nodes of a directed graph for reachability queries. A reachability labeling scheme for such a graph assigns a binary string, called a label, to each node. Then, given the labels of nodes $u$ and $v$ and no other…

Data Structures and Algorithms · Computer Science 2020-07-14 Maciej Dulęba , Paweł Gawrychowski , Wojciech Janczewski

We present {\bf Sli}ding Blo{\bf ck} Hashing (Slick), a simple hash table data structure that combines high performance with very good space efficiency. This preliminary report outlines avenues for analysis and implementation that we intend…

Data Structures and Algorithms · Computer Science 2023-04-20 Hans-Peter Lehmann , Peter Sanders , Stefan Walzer

Recently, learning to hash has been widely studied for image retrieval thanks to the computation and storage efficiency of binary codes. For most existing learning to hash methods, sufficient training images are required and used to learn…

Information Retrieval · Computer Science 2019-03-04 Ji Liu , Lei Zhang

We present a data structure that stores a sequence $s[1..n]$ over alphabet $[1..\sigma]$ in $n\Ho(s) + o(n)(\Ho(s){+}1)$ bits, where $\Ho(s)$ is the zero-order entropy of $s$. This structure supports the queries \access, \rank\ and \select,…

Data Structures and Algorithms · Computer Science 2012-04-03 Jeremy Barbay , Francisco Claude , Travis Gagie , Gonzalo Navarro , Yakov Nekrich

This paper proposes round-hashing, which is suitable for data storage on distributed servers and for implementing external-memory tables in which each lookup retrieves at most a single block of external memory, using a stash. For data…

Data Structures and Algorithms · Computer Science 2018-05-09 Roberto Grossi , Luca Versari

Embedding image features into a binary Hamming space can improve both the speed and accuracy of large-scale query-by-example image retrieval systems. Supervised hashing aims to map the original features to compact binary codes in a manner…

Machine Learning · Computer Science 2016-11-17 Guosheng Lin , Chunhua Shen , Anton van den Hengel

This paper proposes a framework for improving the operational efficiency of automated storage systems under uncertainty. It considers a 2D grid-based storage for uniform-sized loads (e.g., containers, pallets, or totes), which are moved by…

Robotics · Computer Science 2026-01-28 Tzvika Geft , William Zhang , Jingjin Yu , Kostas Bekris

A lattice is a partially-ordered set in which every pair of elements has a unique meet (greatest lower bound) and join (least upper bound). We present new data structures for lattices that are simple, efficient, and nearly optimal in terms…

Data Structures and Algorithms · Computer Science 2020-06-17 J. Ian Munro , Bryce Sandlund , Corwin Sinnamon

It has been shown in the indexing literature that there is an essential difference between prefix/range searches on the one hand, and predecessor/rank searches on the other hand, in that the former provably allows faster query resolution.…

Data Structures and Algorithms · Computer Science 2018-04-16 Djamal Belazzougui , Paolo Boldi , Rasmus Pagh , Sebastiano Vigna

We consider document listing on string collections, that is, finding in which strings a given pattern appears. In particular, we focus on repetitive collections: a collection of size $N$ over alphabet $[1,\sigma]$ is composed of $D$ copies…

Data Structures and Algorithms · Computer Science 2018-11-15 Gonzalo Navarro

Cuckoo hashing with a stash is a robust multiple choice hashing scheme with high memory utilization that can be used in many network device applications. Unfortunately, for memory loads beyond 0.5, little is known on its performance. In…

Data Structures and Algorithms · Computer Science 2011-08-10 Yossi Kanizo , David Hay , Isaac Keslassy

The Suffix Array is a classic text index enabling on-line pattern matching queries via simple binary search. The main drawback of the Suffix Array is that it takes linear space in the text's length, even if the text itself is extremely…

Data Structures and Algorithms · Computer Science 2025-03-19 Davide Cenzato , Lore Depuydt , Travis Gagie , Sung-Hwan Kim , Giovanni Manzini , Francisco Olivares , Nicola Prezza

Suffix trees have emerged to be very fast for pattern searching yielding O (m) time, where m is the pattern size. Unfortunately their high memory requirements make it impractical to work with huge amounts of data. We present a memory…

Data Structures and Algorithms · Computer Science 2017-03-08 Freeson Kaniwa , Venu Madhav Kuthadi , Otlhapile Dinakenyane , Heiko Schroeder

We attempt to determine the best order and search algorithm to store $n$ comparable data items in an array, $A$, of length $n$ so that we can, for any query value, $x$, quickly find the smallest value in $A$ that is greater than or equal to…

Data Structures and Algorithms · Computer Science 2017-03-16 Paul-Virak Khuong , Pat Morin

Given a dynamic set $K$ of $k$ strings of total length $n$ whose characters are drawn from an alphabet of size $\sigma$, a keyword dictionary is a data structure built on $K$ that provides locate, prefix search, and update operations on…

Data Structures and Algorithms · Computer Science 2020-10-08 Kazuya Tsuruta , Dominik Köppl , Shunsuke Kanda , Yuto Nakashima , Shunsuke Inenaga , Hideo Bannai , Masayuki Takeda

Massive datasets of spatial trajectories representing the mobility of a diversity of moving objects are ubiquitous in research and industry. Similarity search of a large collection of trajectories is indispensable for turning these datasets…

Data Structures and Algorithms · Computer Science 2020-09-23 Shunsuke Kanda , Koh Takeuchi , Keisuke Fujii , Yasuo Tabei

Constrained codes are used to prevent errors from occurring in various data storage and data transmission systems. They can help in increasing the storage density of magnetic storage devices, in managing the lifetime of electronic storage…

Information Theory · Computer Science 2022-09-07 Ahmed Hareedy , Beyza Dabak , Robert Calderbank

In cloud computing, storage area networks, remote backup storage, and similar settings, stored data is modified with updates from new versions. Representing information and modifying the representation are both expensive. Therefore it is…

Information Theory · Computer Science 2011-05-11 Lav R. Varshney , Julius Kusuma , Vivek K Goyal