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Very large volumes of spatial data increasingly become available and demand effective management. While there has been decades of research on spatial data management, few works consider the current state of commodity hardware, having…

The spatial join is a popular operation in spatial database systems and its evaluation is a well-studied problem. As main memories become bigger and faster and commodity hardware supports parallel processing, there is a need to revamp…

Databases · Computer Science 2020-05-25 Dimitrios Tsitsigkos , Panagiotis Bouros , Nikos Mamoulis , Manolis Terrovitis

The membership problem asks to maintain a set $S\subseteq[u]$, supporting insertions and membership queries, i.e., testing if a given element is in the set. A data structure that computes exact answers is called a dictionary. When a (small)…

Data Structures and Algorithms · Computer Science 2020-04-28 Mingmou Liu , Yitong Yin , Huacheng Yu

Approximate Membership Query (AMQ) structures are essential for high-throughput systems in databases, networking, and bioinformatics. While Bloom filters offer speed, they lack support for deletions. Existing GPU-based dynamic alternatives,…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-03-17 Tim Dortmann , Markus Vieth , Bertil Schmidt

Given $d$ strings over the alphabet $\{0,1,\ldots,\sigma{-}1\}$, the classical Aho--Corasick data structure allows us to find all $occ$ occurrences of the strings in any text $T$ in $O(|T| + occ)$ time using $O(m\log m)$ bits of space,…

Data Structures and Algorithms · Computer Science 2019-04-02 Dmitry Kosolobov , Nikita Sivukhin

Let $A$ be a static array storing $n$ elements from a totally ordered set. We present a data structure of optimal size at most $n\log_2(3+2\sqrt{2})+o(n)$ bits that allows us to answer the following queries on $A$ in constant time, without…

Data Structures and Algorithms · Computer Science 2011-02-03 Johannes Fischer

A dictionary data structure maintains a set of at most $n$ keys from the universe $[U]$ under key insertions and deletions, such that given a query $x \in [U]$, it returns if $x$ is in the set. Some variants also store values associated to…

Data Structures and Algorithms · Computer Science 2023-09-12 Tianxiao Li , Jingxun Liang , Huacheng Yu , Renfei Zhou

In this paper, we study the problem of computing a minimum-width axis-aligned cubic shell that encloses a given set of $n$ points in a three-dimensional space. A cubic shell is a closed volume between two concentric and face-parallel cubes.…

Computational Geometry · Computer Science 2019-04-16 Sang Won Bae

We show that for all given $n,t,w \in \{1,2,...\}$ with $n<2^w$, an array of $n$ entries of $w$ bits each can be represented on a word RAM with a word length of $w$ bits in at most $nw+\lceil n(t/(2 w))^t\rceil$ bits of uninitialized memory…

Data Structures and Algorithms · Computer Science 2017-10-02 Torben Hagerup , Frank Kammer

Given strings $P$ and $Q$ the (exact) string matching problem is to find all positions of substrings in $Q$ matching $P$. The classical Knuth-Morris-Pratt algorithm [SIAM J. Comput., 1977] solves the string matching problem in linear time…

Data Structures and Algorithms · Computer Science 2010-09-08 Philip Bille

Segmentation of medical images is an essential part in the process of diagnostics. Physicians require an automatic, robust and valid results. Hidden Markov Random Fields (HMRF) provide powerful model. This latter models the segmentation…

Image and Video Processing · Electrical Eng. & Systems 2020-05-20 EL-Hachemi Guerrout , Ramdane Mahiou , Dominique Michelucci , Boukabene Randa , Ouali Assia

We present a simple yet elegant solution to train a single joint model on multi-criteria corpora for Chinese Word Segmentation (CWS). Our novel design requires no private layers in model architecture, instead, introduces two artificial…

Computation and Language · Computer Science 2018-01-08 Han He , Lei Wu , Hua Yan , Zhimin Gao , Yi Feng , George Townsend

In this paper we present new data structures for two extensively studied variants of the orthogonal range searching problem. First, we describe a data structure that supports two-dimensional orthogonal range minima queries in $O(n)$ space…

Data Structures and Algorithms · Computer Science 2020-07-23 Yakov Nekrich

The retrieval problem is the problem of associating data with keys in a set. Formally, the data structure must store a function f: U ->{0,1}^r that has specified values on the elements of a given set S, a subset of U, |S|=n, but may have…

Data Structures and Algorithms · Computer Science 2008-03-27 Martin Dietzfelbinger , Rasmus Pagh

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 show that the Longest Common Prefix Array of a text collection of total size n on alphabet [1, {\sigma}] can be computed from the Burrows-Wheeler transformed collection in O(n log {\sigma}) time using o(n log {\sigma}) bits of working…

Data Structures and Algorithms · Computer Science 2019-01-23 Nicola Prezza , Giovanna Rosone

Burrows-Wheeler transform (BWT) is an invertible text transformation that, given a text $T$ of length $n$, permutes its symbols according to the lexicographic order of suffixes of $T$. BWT is one of the most heavily studied algorithms in…

Data Structures and Algorithms · Computer Science 2020-12-09 Dominik Kempa , Tomasz Kociumaka

Cuckoo hashing guarantees constant-time lookups regardless of table density, making it a viable candidate for high-density tables. Cuckoo hashing insertions perform poorly at high table densities, however. In this paper, we mitigate this…

Data Structures and Algorithms · Computer Science 2016-05-18 William Kuszmaul

Keyword Spotting (KWS) plays a vital role in human-computer interaction for smart on-device terminals and service robots. It remains challenging to achieve the trade-off between small footprint and high accuracy for KWS task. In this paper,…

Audio and Speech Processing · Electrical Eng. & Systems 2020-10-21 Ximin Li , Xiaodong Wei , Xiaowei Qin

We study local symmetry breaking problems in the CONGEST model, focusing on ruling set problems, which generalize the fundamental Maximal Independent Set (MIS) problem. A $\beta$-ruling set is an independent set such that every node in the…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-05-25 Shreyas Pai , Gopal Pandurangan , Sriram V. Pemmaraju , Talal Riaz , Peter Robinson
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