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Recently, MapReduce based spatial query systems have emerged as a cost effective and scalable solution to large scale spatial data processing and analytics. MapReduce based systems achieve massive scalability by partitioning the data and…

Databases · Computer Science 2015-09-04 Ablimit Aji , Vo Hoang , Fusheng Wang

The Binary Space Partitioning-Tree~(BSP-Tree) process was recently proposed as an efficient strategy for space partitioning tasks. Because it uses more than one dimension to partition the space, the BSP-Tree Process is more efficient and…

Machine Learning · Statistics 2020-03-03 Xuhui Fan , Bin Li , Scott A. Sisson

Searching spatial data is an important operation for scientific simulations which are performed mostly with periodic boundary conditions. An R-Tree is a well known tree data structure used to contain spatial objects and it is capable of…

Data Structures and Algorithms · Computer Science 2017-12-11 Toru Niina

Spatial data is ubiquitous. Massive amounts of data are generated every day from a plethora of sources such as billions of GPS-enabled devices (e.g., cell phones, cars, and sensors), consumer-based applications (e.g., Uber and Strava), and…

An increasing volume of studies utilize geocomputation methods in large spatial data. There is a bottleneck in scalable computation for general scientific use as the existing solutions require high-performance computing domain knowledge and…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-03-06 Insang Song , Kyle P. Messier

An optimal data partitioning in parallel & distributed implementation of clustering algorithms is a necessary computation as it ensures independent task completion, fair distribution, less number of affected points and better & faster…

Artificial Intelligence · Computer Science 2016-09-21 Saraswati Mishra , Avnish Chandra Suman

Emerging location-based systems and data analysis frameworks requires efficient management of spatial data for approximate and exact search. Exact similarity search can be done using space partitioning data structures, such as Kd-tree,…

Databases · Computer Science 2015-11-03 Mohamad Dolatshah , Ali Hadian , Behrouz Minaei-Bidgoli

In order to be able to process the increasing amount of spatial data, efficient methods for their handling need to be developed. One major challenge for big spatial data is access. This can be achieved through space-filling curves, as they…

Data Structures and Algorithms · Computer Science 2019-04-26 Markus Wilhelm Jahn , Patrick Erik Bradley

Due to the significant increase in the size of spatial data, it is essential to use distributed parallel processing systems to efficiently analyze spatial data. In this paper, we first study learned spatial data partitioning, which…

Databases · Computer Science 2023-06-21 Keizo Hori , Yuya Sasaki , Daichi Amagata , Yuki Murosaki , Makoto Onizuka

Stochastic partition models divide a multi-dimensional space into a number of rectangular regions, such that the data within each region exhibit certain types of homogeneity. Due to the nature of their partition strategy, existing partition…

Machine Learning · Statistics 2019-03-12 Xuhui Fan , Bin Li , Scott Anthony Sisson

We initiate a study of a query-driven approach to designing partition trees for range-searching problems. Our model assumes that a data structure is to be built for an unknown query distribution that we can access through a sampling oracle,…

Data Structures and Algorithms · Computer Science 2025-02-20 Dimitris Fotakis , Andreas Kalavas , Ioannis Psarros

Efficient spatial indexing is crucial for processing large-scale spatial data. Traditional spatial indexes, such as STR-Tree and Quad-Tree, organize spatial objects based on coarse approximations, such as their minimum bounding rectangles…

Databases · Computer Science 2026-03-10 Xiangyang Yang , Xuefeng Guan , Lanxue Dang , Yi Xie , Qingyang Xu , Huayi Wu , Jiayao Wang

Hybrid queries combining high-dimensional vector similarity search with spatio-temporal filters are increasingly critical for modern retrieval-augmented generation (RAG) systems. Existing systems typically handle these workloads by nesting…

Databases · Computer Science 2026-05-01 Mingyu Yang , Wentao Li , Wei Wang

We present a novel approach to perform agglomeration of polygonal and polyhedral grids based on spatial indices. Agglomeration strategies are a key ingredient in polytopal methods for PDEs as they are used to generate (hierarchies of)…

Numerical Analysis · Mathematics 2025-02-21 Marco Feder , Andrea Cangiani , Luca Heltai

Motivated by performance optimization of large-scale graph processing systems that distribute the graph across multiple machines, we consider the balanced graph partitioning problem. Compared to the previous work, we study the…

Data Structures and Algorithms · Computer Science 2019-02-19 Dmitrii Avdiukhin , Sergey Pupyrev , Grigory Yaroslavtsev

Recent research on pattern discovery has progressed from mining frequent patterns and sequences to mining structured patterns, such as trees and graphs. Graphs as general data structure can model complex relations among data with wide…

Databases · Computer Science 2013-12-17 Ghazi Al-Naymat

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

Partitioning for load balancing is a crucial first step to parallelize any type of computation. In this work, we propose SGORP, a new spatial partitioning method based on Subgradient Optimization, to solve the $d$-dimensional Rectilinear…

Data Structures and Algorithms · Computer Science 2023-10-05 Muhammed Fatih Balin , Xiaojing An , Abdurrahman Yaşar , Ümit V. Çatalyürek

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 dynamic scaling of distributed computations plays an important role in the utilization of elastic computational resources, such as the cloud. It enables the provisioning and de-provisioning of resources to match dynamic resource…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-01-19 Masatoshi Hanai , Nikos Tziritas , Toyotaro Suzumura , Wentong Cai , Georgios Theodoropoulos
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