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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

$k$d-trees are widely used in parallel databases to support efficient neighborhood/similarity queries. Supporting parallel updates to $k$d-trees is therefore an important operation. In this paper, we present BDL-tree, a parallel,…

Data Structures and Algorithms · Computer Science 2021-12-14 Rahul Yesantharao , Yiqiu Wang , Laxman Dhulipala , Julian Shun

We present a set of parallel algorithms for computing exact k-nearest neighbors in low dimensions. Many k-nearest neighbor algorithms use either a kd-tree or the Morton ordering of the point set; our algorithms combine these approaches…

Data Structures and Algorithms · Computer Science 2021-11-09 Magdalen Dobson , Guy Blelloch

Corporations today collect data at an unprecedented and accelerating scale, making the need to run queries on large datasets increasingly important. Technologies such as columnar block-based data organization and compression have become…

In a variety of applications, we need to keep track of the development of a data set over time. For maintaining and querying this multi version data I/O-efficiently, external memory data structures are required. In this paper, we present a…

General Literature · Computer Science 2007-05-23 Saju Jude Dominic , G. Sajith

We propose BS-tree, an in-memory implementation of the B+-tree that adopts the structure of the disk-based index (i.e., a balanced, multiway tree), setting the node size to a memory block that can be processed fast and in parallel using…

Databases · Computer Science 2025-11-14 Dimitrios Tsitsigkos , Achilleas Michalopoulos , Nikos Mamoulis , Manolis Terrovitis

Efficient index structures for fast approximate nearest neighbor queries are required in many applications such as recommendation systems. In high-dimensional spaces, many conventional methods suffer from excessive usage of memory and slow…

We investigate the utility of employing multiple buffers in solving a class of rearrangement problems with pick-n-swap manipulation primitives. In this problem, objects stored randomly in a lattice are to be sorted using a robot arm with…

Robotics · Computer Science 2023-02-20 Kai Gao , Jingjin Yu

K-Nearest Neighbors (KNN) search is a fundamental algorithm in artificial intelligence software with applications in robotics, and autonomous vehicles. These wide-ranging applications utilize KNN either directly for simple classification or…

Software Engineering · Computer Science 2021-06-08 Aryan Naim , Joseph Bowkett , Sisir Karumanchi , Peyman Tavallali , Brett Kennedy

We present an empirical analysis of data structures for approximate nearest neighbor searching. We compare the well-known optimized kd-tree splitting method against two alternative splitting methods. The first, called the sliding-midpoint…

Computational Geometry · Computer Science 2007-05-23 Songrit Maneewongvatana , David M. Mount

Building concurrent spatial trees is more complicated than binary search trees since a space hierarchy should be preserved during modifications. We present a non-blocking quadtree-quadboost-that supports concurrent insert, remove, move, and…

Data Structures and Algorithms · Computer Science 2016-07-13 Keren Zhou , Guangming Tan , Wei Zhou

Partitioning trees are efficient data structures for $k$-nearest neighbor search. Machine learning libraries commonly use a special type of partitioning trees called $k$d-trees to perform $k$-nn search. Unfortunately, $k$d-trees can be…

Machine Learning · Computer Science 2023-02-28 Mashaan Alshammari , John Stavrakakis , Adel F. Ahmed , Masahiro Takatsuka

Small devices collecting data for agricultural, environmental, and industrial monitoring enable Internet of Things (IoT) applications. Given their critical role in data collection, there is a need for optimizations to improve on-device data…

Databases · Computer Science 2026-03-09 Nadir Ould-Khessal , Scott Fazackerley , Ramon Lawrence

The original description of the k-d tree recognized that rebalancing techniques, such as used to build an AVL tree or a red-black tree, are not applicable to a k-d tree. Hence, in order to build a balanced k-d tree, it is necessary to find…

Data Structures and Algorithms · Computer Science 2025-12-30 Russell A. Brown

Diverse types of edge data, such as 2D geo-locations and 3D point clouds, are collected by sensors like lidar and GPS receivers on edge devices. On-device searches, such as k-nearest neighbor (kNN) search and radius search, are commonly…

Databases · Computer Science 2025-12-16 Yushuai Ji , Sheng Wang , Zhiyu Chen , Yuan Sun , Zhiyong Peng

The contributions of the paper span theoretical and implementational results. First, we prove that Kd-trees can be extended to spaces in which the distance is measured with an arbitrary Bregman divergence. Perhaps surprisingly, this shows…

Computational Geometry · Computer Science 2025-02-20 Tuyen Pham , Hubert Wagner

Nearest neighbor searching of large databases in high-dimensional spaces is inherently difficult due to the curse of dimensionality. A flavor of approximation is, therefore, necessary to practically solve the problem of nearest neighbor…

Databases · Computer Science 2018-04-24 Akhil Arora , Sakshi Sinha , Piyush Kumar , Arnab Bhattacharya

The k-truss is a type of cohesive subgraphs proposed recently for the study of networks. While the problem of computing most cohesive subgraphs is NP-hard, there exists a polynomial time algorithm for computing k-truss. Compared with k-core…

Databases · Computer Science 2012-05-31 Jia Wang , James Cheng

In particle simulations, the weights of particles determine how many physical particles they represent. Adaptively adjusting these weights can greatly improve the efficiency of the simulation, without creating severe nonphysical artifacts.…

Computational Physics · Physics 2014-11-05 Jannis Teunissen , Ute Ebert

Autonomous Driving (AD) systems extensively manipulate 3D point clouds for object detection and vehicle localization. Thereby, efficient processing of 3D point clouds is crucial in these systems. In this work we propose K-D Bonsai, a…

Hardware Architecture · Computer Science 2023-08-31 Pedro H. E. Becker , José María Arnau , Antonio González