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We consider the problem of encoding two-dimensional arrays, whose elements come from a total order, for answering \topk{} queries. The aim is to obtain encodings that use space close to the information-theoretic lower bound, which can be…

Data Structures and Algorithms · Computer Science 2021-07-13 Seungbum Jo , Srinivasa Rao Satti

Graph pattern matching is a fundamental operation for the analysis and exploration ofdata graphs. In thispaper, we presenta novel approachfor efficiently finding homomorphic matches for hybrid graph patterns, where each pattern edge may be…

Databases · Computer Science 2022-09-29 Xiaoying Wu , Dimitri Theodoratos , Nikos Mamoulis , Michael Lan

The research on indexing repetitive string collections has focused on the same search problems used for regular string collections, though they can make little sense in this scenario. For example, the basic pattern matching query "list all…

Data Structures and Algorithms · Computer Science 2020-10-15 Gonzalo Navarro

Local search is a widely used technique for tackling challenging optimization problems, offering significant advantages in terms of computational efficiency and exhibiting strong empirical behavior across a wide range of problem domains. In…

Data Structures and Algorithms · Computer Science 2025-05-14 Lars Rohwedder , Ashkan Safari , Tjark Vredeveld

We consider various data-analysis queries on two-dimensional points. We give new space/time tradeoffs over previous work on geometric queries such as dominance and rectangle visibility, and on semigroup and group queries such as sum,…

Data Structures and Algorithms · Computer Science 2012-04-03 Gonzalo Navarro , Yakov Nekrich , Luís M. S. Russo

We introduce space-efficient plane-sweep algorithms for basic planar geometric problems. It is assumed that the input is in a read-only array of $n$ items and that the available workspace is $\Theta(s)$ bits, where $\lg n \leq s \leq n…

Data Structures and Algorithms · Computer Science 2016-04-25 Amr Elmasry , Frank Kammer

In this paper, we study a novel contact tracing query (CTQ) that finds users who have been in $direct$ $contact$ with the query user or $in$ $contact$ $with$ $the$ $already$ $contacted$ $users$ in subsequent timestamps from a large…

Databases · Computer Science 2020-08-11 Mohammed Eunus Ali , Shadman Saqib Eusuf , Kazi Ashik Islam

We design the first learned index that solves the dictionary problem with time and space complexity provably better than classic data structures for hierarchical memories, such as B-trees, and modern learned indexes. We call our solution…

Data Structures and Algorithms · Computer Science 2019-03-12 Giorgio Vinciguerra , Paolo Ferragina , Michele Miccinesi

Carpooling, or sharing a ride with other passengers, holds immense potential for urban transportation. Ridesharing platforms enable such sharing of rides using real-time data. Finding ride matches in real-time at urban scale is a difficult…

Data Structures and Algorithms · Computer Science 2020-02-20 Chinmoy Dutta

We consider four main goals when fitting spatial linear models: 1) estimating covariance parameters, 2) estimating fixed effects, 3) kriging (making point predictions), and 4) block-kriging (predicting the average value over a region). Each…

Methodology · Statistics 2023-05-16 Jay M. Ver Hoef , Michael Dumelle , Matt Higham , Erin E. Peterson , Daniel J. Isaak

Maintaining spatial data (points in two or three dimensions) is crucial and has a wide range of applications, such as graphics, GIS, and robotics. To handle spatial data, many data structures, called spatial indexes, have been proposed,…

Databases · Computer Science 2026-01-12 Ziyang Men , Bo Huang , Yan Gu , Yihan Sun

In the $(k,m)$-mappability problem, for a given sequence $T$ of length $n$, the goal is to compute a table whose $i$th entry is the number of indices $j \ne i$ such that the length-$m$ substrings of $T$ starting at positions $i$ and $j$…

Data Structures and Algorithms · Computer Science 2021-06-18 Panagiotis Charalampopoulos , Costas S. Iliopoulos , Tomasz Kociumaka , Solon P. Pissis , Jakub Radoszewski , Juliusz Straszyński

Spatial data structures allow to make efficient queries on Geographical Information Systems (GIS). Spatial queries involve the geometry of the data, such as points, lines, or polygons. For instance, a spatial query could poll for the…

Databases · Computer Science 2022-11-11 Florent Grélard , Mehdi Ayadi , Mihaela Scuturici , Serge Miguet

Nearest neighbor search is a fundamental data structure problem with many applications in machine learning, computer vision, recommendation systems and other fields. Although the main objective of the data structure is to quickly report…

Data Structures and Algorithms · Computer Science 2025-02-20 Piyush Anand , Piotr Indyk , Ravishankar Krishnaswamy , Sepideh Mahabadi , Vikas C. Raykar , Kirankumar Shiragur , Haike Xu

Cooperation between satellite and terrestrial wireless networks promises great potential in meeting fast-growing demands for ubiquitous communications coverage. To tackle spectrum scarcity, spectrum sharing is studied for a hybrid…

Information Theory · Computer Science 2026-01-27 Yanmin Wang , Wei Feng , Yunfei Chen , Yongxu Zhu , Shidong Zhou , Cheng-Xiang Wang

We develop an extension of recently developed methods for obtaining time-space tradeoff lower bounds for problems of learning from random test samples to handle the situation where the space of tests is signficantly smaller than the space…

Machine Learning · Computer Science 2017-08-10 Paul Beame , Shayan Oveis Gharan , Xin Yang

Spatio-temporal forecasting is a critical component of various smart city applications, such as transportation optimization, energy management, and socio-economic analysis. Recently, several automated spatio-temporal forecasting methods…

Machine Learning · Computer Science 2025-01-09 Tengfei Lyu , Weijia Zhang , Jinliang Deng , Hao Liu

We initiate a systematic study of the computational complexity of property testing, focusing on the relationship between query and time complexity. While traditional work in property testing has emphasized query complexity, relatively…

Computational Complexity · Computer Science 2026-03-12 Renato Ferreira Pinto , Diptaksho Palit , Sofya Raskhodnikova

For any $\epsilon \in (0,1)$, a $(1+\epsilon)$-approximate range mode query asks for the position of an element whose frequency in the query range is at most a factor $(1+\epsilon)$ smaller than the true mode. For this problem, we design an…

Data Structures and Algorithms · Computer Science 2019-07-22 Hicham El-Zein , Meng He , J. Ian Munro , Yakov Nekrich , Bryce Sandlund

Increasing need for large-scale data analytics in a number of application domains has led to a dramatic rise in the number of distributed data management systems, both parallel relational databases, and systems that support alternative…

Databases · Computer Science 2013-02-19 K. Ashwin Kumar , Amol Deshpande , Samir Khuller