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In this paper, a sorting technique is presented that takes as input a data set whose primary key domain is known to the sorting algorithm, and works with an time efficiency of O(n+k), where k is the primary key domain. It is shown that the…

Data Structures and Algorithms · Computer Science 2007-05-23 Udayan Khuarana

To maximize the performance of concurrent data structures, researchers have often turned to highly complex fine-grained techniques, resulting in efficient and elegant algorithms, which can however be often difficult to understand and prove…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-12-21 Trevor Brown , William Sigouin , Dan Alistarh

We propose a parallel graph-based data clustering algorithm using CUDA GPU, based on exact clustering of the minimum spanning tree in terms of a minimum isoperimetric criteria. We also provide a comparative performance analysis of our…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-02-17 Ramin Javadi , Saleh Ashkboos

Algorithms based on spatial tree traversal are widely regarded as among the most efficient and flexible approaches for many problems in CPU-based high-performance computing (HPC). However, directly transferring these algorithms to GPU…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-04-08 Jens Stücker , Oliver Hahn , Lukas Winkler , Adrian Gutierrez Adame , Thomas Flöss

The kd-tree is a fundamental tool in computer science. Among others, an application of the kd-tree search (oct-tree method) to fast evaluation of particle interactions and neighbor search is highly important since computational complexity…

Instrumentation and Methods for Astrophysics · Physics 2009-09-04 N. Nakasato

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

This article introduces a new optimization method to improve mergesort's runtime complexity, when sorting sequences that have equal keys to $O(n log_2 k)$, where $k$ is the number of distinct keys in the sequence. When $k$ is constant, it…

Data Structures and Algorithms · Computer Science 2020-12-17 Albert Tedja

Parallel parameterized complexity theory studies how fixed-parameter tractable (fpt) problems can be solved in parallel. Previous theoretical work focused on parallel algorithms that are very fast in principle, but did not take into account…

Data Structures and Algorithms · Computer Science 2019-02-21 Max Bannach , Malte Skambath , Till Tantau

In fork-join parallelism, a sequential program is split into a directed acyclic graph of tasks linked by directed dependency edges, and the tasks are executed, possibly in parallel, in an order consistent with their dependencies. A popular…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-04-11 Maurice Herlihy , Zhiyu Liu

Sparse matrix computation is crucial in various modern applications, including large-scale graph analytics, deep learning, and recommender systems. The performance of sparse kernels varies greatly depending on the structure of the input…

Hardware Architecture · Computer Science 2024-07-31 Francesco Sgherzi , Marco Siracusa , Ivan Fernandez , Adrià Armejach , Miquel Moretó

As multicore systems continue to gain ground in the High Performance Computing world, linear algebra algorithms have to be reformulated or new algorithms have to be developed in order to take advantage of the architectural features on these…

Mathematical Software · Computer Science 2008-06-12 Alfredo Buttari , Julien Langou , Jakub Kurzak , Jack Dongarra

We present an algorithm that allows for building left-balanced and complete k-d trees over k-dimensional points in a trivially parallel and GPU friendly way. Our algorithm requires exactly one int per data point as temporary storage, and…

Data Structures and Algorithms · Computer Science 2023-04-06 Ingo Wald

This paper focuses on reducing memory usage in enumerative model checking, while maintaining the multi-core scalability obtained in earlier work. We present a tree-based multi-core compression method, which works by leveraging sharing among…

Data Structures and Algorithms · Computer Science 2011-05-17 Alfons Laarman , Jaco van de Pol , Michael Weber

Prior work on Automatically Scalable Computation (ASC) suggests that it is possible to parallelize sequential computation by building a model of whole-program execution, using that model to predict future computations, and then…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-09-21 Peter Kraft , Amos Waterland , Daniel Y Fu , Anitha Gollamudi , Shai Szulanski , Margo Seltzer

This work studies one of the parallel decision tree learning algorithms, pdsCART, designed for scalable and efficient data analysis. The method incorporates three core capabilities. First, it supports real-time learning from data streams,…

Artificial Intelligence · Computer Science 2025-05-20 Zeinab Shiralizadeh

Decision trees are well-known due to their ease of interpretability. To improve accuracy, we need to grow deep trees or ensembles of trees. These are hard to interpret, offsetting their original benefits. Shapley values have recently become…

Machine Learning · Computer Science 2023-01-26 Peng Yu , Chao Xu , Albert Bifet , Jesse Read

The hashing trick is a machine learning technique used to encode categorical features into a numerical vector representation of pre-defined fixed length. It works by using the categorical hash values as vector indices, and updating the…

Machine Learning · Computer Science 2021-02-09 M. Andrecut

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

Much of the copious literature on the subject of sorting has concentrated on minimizing the number of comparisons and/or exchanges/copies. However, a more appropriate yardstick for the performance of sorting algorithms is based on the total…

Data Structures and Algorithms · Computer Science 2020-12-03 R. C. Hillyard , Yunlu Liaozheng , Sai Vineeth K. R

Hash tables are used in a plethora of applications, including database operations, DNA sequencing, string searching, and many more. As such, there are many parallelized hash tables targeting multicore, distributed, and accelerator-based…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-04-05 Alok Tripathy , Oded Green
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