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Grid space partitioning is a technique to speed up queries to graphics databases. We present a parallel grid construction algorithm which can efficiently construct a structured grid on GPU hardware. Our approach is substantially faster than…

Graphics · Computer Science 2024-03-19 Vasco Costa , João M. Pereira , Joaquim Jorge

The K-Means clustering using LLoyd's algorithm is an iterative approach to partition the given dataset into K different clusters. The algorithm assigns each point to the cluster based on the following objective function \[\ \min…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-05-21 Ashish Srivastava , Mohammed Nawfal

The block tree [Belazzougui et al., J. Comput. Syst. Sci. '21] is a compressed representation of a length-$n$ text that supports access, rank, and select queries while requiring only $O(z\log\frac{n}{z})$ words of space, where $z$ is the…

Data Structures and Algorithms · Computer Science 2025-12-30 Robert Clausecker , Florian Kurpicz , Etienne Palanga

We present a new very fast tree-code which runs on massively parallel Graphical Processing Units (GPU) with NVIDIA CUDA architecture. The tree-construction and calculation of multipole moments is carried out on the host CPU, while the force…

Instrumentation and Methods for Astrophysics · Physics 2010-10-15 Evghenii Gaburov , Jeroen Bédorf , Simon Portegies Zwart

The wavelet tree has become a very useful data structure to efficiently represent and query large volumes of data in many different domains, from bioinformatics to geographic information systems. One problem with wavelet trees is their…

Data Structures and Algorithms · Computer Science 2016-10-20 José Fuentes-Sepúlveda , Erick Elejalde , Leo Ferres , Diego Seco

We suggest a new non-recursive algorithm for constructing a binary search tree given an array of numbers. The algorithm has $O(N)$ time and $O(1)$ memory complexity if the given array of $N$ numbers is sorted. The resulting tree is of…

Data Structures and Algorithms · Computer Science 2022-07-20 Pavel S. Ruzankin

$k$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

Solving inverse problems and achieving statistical rigour in landscape evolution models requires running many model realizations. Parallel computation is necessary to achieve this in a reasonable time. However, no previous algorithm is…

Computational Engineering, Finance, and Science · Computer Science 2019-01-23 Richard Barnes

Computing fixed-radius near-neighbor graphs is an important first step for many data analysis algorithms. Near-neighbor graphs connect points that are close under some metric, endowing point clouds with a combinatorial structure. As…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-10-17 Gabriel Raulet , Dmitriy Morozov , Aydin Buluc , Katherine Yelick

We describe a simple yet highly parallel method for re-indexing "indexed" data sets like triangle meshes or unstructured-mesh data sets -- which is useful for operations such as removing duplicate or un-used vertices, merging different…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-09-22 Ingo Wald

Min-Cut queries are fundamental: Preprocess an undirected edge-weighted graph, to quickly report a minimum-weight cut that separates a query pair of nodes $s,t$. The best data structure known for this problem simply builds a cut-equivalent…

Data Structures and Algorithms · Computer Science 2020-09-15 Amir Abboud , Robert Krauthgamer , Ohad Trabelsi

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

As deep neural networks (DNNs) become deeper, the training time increases. In this perspective, multi-GPU parallel computing has become a key tool in accelerating the training of DNNs. In this paper, we introduce a novel methodology to…

Numerical Analysis · Mathematics 2024-07-08 Chang-Ock Lee , Youngkyu Lee , Jongho Park

We compare different methods for sampling from discrete probability distributions and introduce a new algorithm which is especially efficient on massively parallel processors, such as GPUs. The scheme preserves the distribution properties…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-09-02 Nikolaus Binder , Alexander Keller

k-means is a widely used clustering algorithm, but for $k$ clusters and a dataset size of $N$, each iteration of Lloyd's algorithm costs $O(kN)$ time. Although there are existing techniques to accelerate single Lloyd iterations, none of…

Data Structures and Algorithms · Computer Science 2016-01-18 Ryan R. Curtin

As the gap between compute and I/O performance tends to grow, modern High-Performance Computing (HPC) architectures include a new resource type: an intermediate persistent fast memory layer, called burst buffers. This is just one of many…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-09-01 Adrian Naruszko , Bartłomiej Przybylski , Krzysztof Rzadca

In this paper, we design parallel write-efficient geometric algorithms that perform asymptotically fewer writes than standard algorithms for the same problem. This is motivated by emerging non-volatile memory technologies with read…

Data Structures and Algorithms · Computer Science 2018-07-12 Guy E. Blelloch , Yan Gu , Yihan Sun , Julian Shun

We discuss parallel algorithms to gather topological information about off-process mesh neighbor elements. This information is commonly called the ghost layer, whose creation is a fundamental, necessary task in executing most parallel,…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-11-01 Johannes Holke , David Knapp , Carsten Burstedde

We propose a new architecture for 3D information systems that takes advantage of the inherent parallelism of the GPUs. This new solution structures information as thematic layers, allowing a level of detail independent of the resolution of…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-01-28 Luis López , Juan Carlos Torres , Germán Arroyo , Pedro Cano , Domingo Martín

Mesh partitioning is an indispensable tool for efficient parallel numerical simulations. Its goal is to minimize communication between the processes of a simulation while achieving load balance. Established graph-based partitioning tools…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-05-04 Moritz von Looz , Charilaos Tzovas , Henning Meyerhenke