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We present a sorting algorithm that works in-place, executes in parallel, is cache-efficient, avoids branch-mispredictions, and performs work O(n log n) for arbitrary inputs with high probability. The main algorithmic contributions are new…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-07-03 Michael Axtmann , Sascha Witt , Daniel Ferizovic , Peter Sanders

Cloud database systems, particularly their middleware and query execution layers, use sorting as a core operation in query processing, indexing and join execution. Distribution-dependence and limited parallelism are key issues inherent in…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-05-13 Michael Dang'ana

We propose two parallel state-space exploration algorithms for hybrid systems with the goal of enhancing performance on multi-core shared memory systems. The first is an adaption of the parallel breadth first search in the SPIN model…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-02-27 Amit Gurung , Arup Deka , Ezio Bartocci , Sergiy Bogomolov , Radu Grosu , Rajarshi Ray

Modern trends in data collection are bringing current mainstream techniques for database query processing to their limits. Consequently, various novel approaches for efficient query processing are being actively studied. One such approach…

Databases · Computer Science 2022-04-13 Georg Gottlob , Matthias Lanzinger , Cem Okulmus , Reinhard Pichler

QuickXsort is a highly efficient in-place sequential sorting scheme that mixes Hoare's Quicksort algorithm with X, where X can be chosen from a wider range of other known sorting algorithms, like Heapsort, Insertionsort and Mergesort. Its…

Data Structures and Algorithms · Computer Science 2018-11-06 Stefan Edelkamp , Armin Weiß , Sebastian Wild

A generalization of the heapsort algorithm is proposed. At the expense of about 50% more comparison and move operations for typical cases, the dualheap sort algorithm offers several advantages over heapsort: improved cache performance,…

Data Structures and Algorithms · Computer Science 2007-06-21 Greg Sepesi

Heterogeneous many-cores are now an integral part of modern computing systems ranging from embedding systems to supercomputers. While heterogeneous many-core design offers the potential for energy-efficient high-performance, such potential…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-05-11 Jianbin Fang , Chun Huang , Tao Tang , Zheng Wang

In our study we implemented and compared seven sequential and parallel sorting algorithms: bitonic sort, multistep bitonic sort, adaptive bitonic sort, merge sort, quicksort, radix sort and sample sort. Sequential algorithms were…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-11-13 Darko Bozidar , Tomaz Dobravec

Sorting is one of the fundamental problems in computer science. Playing a role in many processes, it has a lower complexity bound imposed by $\mathcal{O}(n\log{n})$ when executing on a sequential machine. This limit can be brought down to…

Hardware Architecture · Computer Science 2025-07-23 Daniel Bascones , Borja Morcillo

In this paper, the efficient hinging hyperplanes (EHH) neural network is proposed based on the model of hinging hyperplanes (HH). The EHH neural network is a distributed representation, the training of which involves solving several convex…

Systems and Control · Computer Science 2019-11-28 Jun Xu , Qinghua Tao , Zhen Li , Xiangming Xi , Johan A. K. Suykens , Shuning Wang

Many important computational problems require utilization of high performance computing (HPC) systems that consist of multi-level structures combining higher and higher numbers of devices with various characteristics. Utilizing full power…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-09-21 Paweł Rościszewski

We present a sparse linear system solver that is based on a multifrontal variant of Gaussian elimination, and exploits low-rank approximation of the resulting dense frontal matrices. We use hierarchically semiseparable (HSS) matrices, which…

Mathematical Software · Computer Science 2015-02-27 Pieter Ghysels , Xiaoye S. Li , Francois-Henry Rouet , Samuel Williams , Artem Napov

In this work, we consider the reformulation of hierarchical ($\mathcal{H}$) matrix algorithms for many-core processors with a model implementation on graphics processing units (GPUs). $\mathcal{H}$ matrices approximate specific dense…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-09-04 Peter Zaspel

A new class of parallel algorithms is introduced that can achieve a complexity of O(n^3/2) with respect to the interprocessor communication, in the exact computation of systems with pairwise mutual interactions of all elements. Hitherto,…

High Energy Physics - Lattice · Physics 2008-02-03 Th. Lippert , A. Seyfried , A. Bode , K. Schilling

Sketches are probabilistic data structures that can provide approximate results within mathematically proven error bounds while using orders of magnitude less memory than traditional approaches. They are tailored for streaming data analysis…

Data Structures and Algorithms · Computer Science 2019-03-05 Fatih Taşyaran , Kerem Yıldırır , Kamer Kaya , Mustafa Kemal Taş

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

Solving optimization problems with parallel algorithms has a long tradition in OR. Its future relevance for solving hard optimization problems in many fields, including finance, logistics, production and design, is leveraged through the…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-10-09 Guido Schryen

The physics programme of the LHCb experiment at the Large Hadron Collider requires an efficient and precise reconstruction of the particle collision vertices. The LHCb Upgrade detector relies on a fully software-based trigger with an online…

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

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