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The way developers implement their algorithms and how these implementations behave on modern CPUs are governed by the design and organization of these. The vectorization units (SIMD) are among the few CPUs' parts that can and must be…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-11-22 Bérenger Bramas

Recent works showed that implementations of Quicksort using vector CPU instructions can outperform the non-vectorized algorithms in widespread use. However, these implementations are typically single-threaded, implemented for a particular…

Information Retrieval · Computer Science 2022-05-13 Mark Blacher , Joachim Giesen , Peter Sanders , Jan Wassenberg

Deep learning implementations on CPUs (Central Processing Units) are gaining more traction. Enhanced AI capabilities on commodity x86 architectures are commercially appealing due to the reuse of existing hardware and virtualization ease. A…

Machine Learning · Computer Science 2021-03-22 Shabnam Daghaghi , Nicholas Meisburger , Mengnan Zhao , Yong Wu , Sameh Gobriel , Charlie Tai , Anshumali Shrivastava

Sorting algorithms are the deciding factor for the performance of common operations such as removal of duplicates or database sort-merge joins. This work focuses on 32-bit integer keys, optionally paired with a 32-bit value. We present a…

Data Structures and Algorithms · Computer Science 2010-09-07 Jan Wassenberg , Peter Sanders

Sorting is an essential operation in computer science with direct consequences on the performance of large scale data systems, real-time systems, and embedded computation. However, no sorting algorithm is optimal under all distributions of…

Data Structures and Algorithms · Computer Science 2025-06-27 Shrinivass Arunachalam Balasubramanian

This paper describes in detail the bitonic sort algorithm,and implements the bitonic sort algorithm based on cuda architecture.At the same time,we conduct two effective optimization of implementation details according to the characteristics…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-10-31 Qi Mu , Liqing Cui , Yufei Song

Smart Sort algorithm is a "smart" fusion of heap construction procedures (of Heap sort algorithm) into the conventional "Partition" function (of Quick sort algorithm) resulting in a robust version of Quick sort algorithm. We have also…

Data Structures and Algorithms · Computer Science 2012-04-24 Niraj Kumar Singh , Soubhik Chakraborty

This paper introduces a novel and efficient partitioning technique for quicksort, specifically designed for real-world data with duplicate elements (50-year-old problem). The method is referred to as "equal quicksort" or "eqsort". Based on…

Data Structures and Algorithms · Computer Science 2025-03-12 Parviz Afereidoon

Sorting is one of the most basic algorithms, and developing highly parallel sorting programs is becoming increasingly important in high-performance computing because the number of CPU cores per node in modern supercomputers tends to…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-09-08 Tomoyuki Tokuue , Tomoaki Ishiyama

Multi-Pivot Quicksort refers to variants of classical quicksort where in the partitioning step $k$ pivots are used to split the input into $k + 1$ segments. For many years, multi-pivot quicksort was regarded as impractical, but in 2009 a…

Data Structures and Algorithms · Computer Science 2016-06-01 Martin Aumüller , Martin Dietzfelbinger , Pascal Klaue

We investigate distributed memory parallel sorting algorithms that scale to the largest available machines and are robust with respect to input size and distribution of the input elements. The main outcome is that four sorting algorithms…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-01-17 Michael Axtmann , Peter Sanders

We present four high performance hybrid sorting methods developed for various parallel platforms: shared memory multiprocessors, distributed multiprocessors, and clusters taking advantage of existence of both shared and distributed memory.…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-03-04 Thoria Alghamdi , Gita Alaghband

This living paper reviews the present High Performance Computing (HPC) capabilities of the Tinker-HP molecular modeling package. We focus here on the reference, double precision, massively parallel molecular dynamics engine present in…

Mathematical Software · Computer Science 2024-01-11 Luc-Henri Jolly , Alejandro Duran , Louis Lagardère , Jay W. Ponder , Pengyu Ren , Jean-Philip Piquemal

Sorting algorithms are the most extensively researched topics in computer science and serve for numerous practical applications. Although various sorts have been proposed for efficiency, different architectures offer distinct flavors to the…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-09-09 Jincheng Zhou , Jin Zhang , Xiang Zhang , Tiaojie Xiao , Di Ma , Chunye Gong

We explored an uncharted part of the solution space for sorting algorithms: the role of symmetry in divide&conquer algorithms. We found/designed novel simple binary Quicksort and Mergesort algorithms operating in contiguous space which…

Data Structures and Algorithms · Computer Science 2024-02-06 Jens Oehlschlägel

We present a technique for automatically transforming kernel-based computations in disparate, nested loops into a fused, vectorized form that can reduce intermediate storage needs and lead to improved performance on contemporary hardware.…

Performance · Computer Science 2017-10-25 Jason Sewall , Simon J. Pennycook

Stencil computation is one of the most important kernels in various scientific and engineering applications. A variety of work has focused on vectorization and tiling techniques, aiming at exploiting the in-core data parallelism and data…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-03-19 Kun Li , Liang Yuan , Yunquan Zhang , Yue Yue , Hang Cao , Pengqi Lu

Modern Intel CPUs reduce their frequency when executing wide vector operations (AVX2 and AVX-512 instructions), as these instructions increase power consumption. The frequency is only increased again two milliseconds after the last code…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-01-16 Mathias Gottschlag , Frank Bellosa

Leveraging the SIMD capability of modern CPU architectures is mandatory to take full benefit of their increasing performance. To exploit this feature, binary executables must be explicitly vectorized by the developers or an automatic…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-07-03 Hayfa Tayeb , Ludovic Paillat , Berenger Bramas

In this paper, we propose a useful replacement for quicksort-style utility functions. The replacement is called Symmetry Partition Sort, which has essentially the same principle as Proportion Extend Sort. The maximal difference between them…

Data Structures and Algorithms · Computer Science 2007-06-04 Jing-Chao Chen
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