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To minimize data movement, state-of-the-art parallel sorting algorithms use techniques based on sampling and histogramming to partition keys prior to redistribution. Sampling enables partitioning to be done using a representative subset of…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-04-30 Vipul Harsh , Laxmikant Kale , Edgar Solomonik

Many previous works in spike sorting study spike classification and compression independently. In this paper, a novel algorithm is proposed called MetaSort to address these two problems. To deal with compression, a novel adaptive level…

Signal Processing · Electrical Eng. & Systems 2026-03-10 Luca M. Meyer , Majid Zamani

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

This work presents a comparison for the performance of sequential sorting algorithms under four different modes of execution, the sequential processing mode, a conventional multi-threading implementation, multi-threading with OpenMP Library…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-09-07 Mohammad Fasha

Sorting is the one of the fundamental tasks of modern data management systems. With Disk I/O being the most-accused performance bottleneck and more computation-intensive workloads, it has come to our attention that in heterogeneous…

Databases · Computer Science 2019-09-19 Yuanjing Shi , Zhaoxing Li

Sorting and binary searching a dense array can be considered the simplest and most space efficient form of indexing. This holds especially on GPUs as they exhibit exceptional sorting performance. However, the popular opinion is that such a…

Databases · Computer Science 2026-02-24 Justus Henneberg , Felix Schuhknecht

In this paper, we study the MapReduce framework from an algorithmic standpoint and demonstrate the usefulness of our approach by designing and analyzing efficient MapReduce algorithms for fundamental sorting, searching, and simulation…

Distributed, Parallel, and Cluster Computing · Computer Science 2011-01-11 Michael T. Goodrich , Nodari Sitchinava , Qin Zhang

Sorting and scanning are two fundamental primitives for constructing highly parallel algorithms. A number of libraries now provide implementations of these primitives for GPUs, but there is relatively little information about the…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-01-14 Bruce Merry

We propose new sequential sorting operations by adapting techniques and methods used for designing parallel sorting algorithms. Although the norm is to parallelize a sequential algorithm to improve performance, we adapt a contrarian…

Data Structures and Algorithms · Computer Science 2016-09-01 Alexandros V Gerbessiotis

In the realm of big data and machine learning, data-parallel, distributed stochastic algorithms have drawn significant attention in the present days.~While the synchronous versions of these algorithms are well understood in terms of their…

Optimization and Control · Mathematics 2020-04-07 Atal Narayan Sahu , Aritra Dutta , Aashutosh Tiwari , Peter Richtárik

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

In this paper, we present several improvements in the parallelization of the in-place merge algorithm, which merges two contiguous sorted arrays into one with an O(T) space complexity (where T is the number of threads). The approach divides…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-05-27 Berenger Bramas , Quentin Bramas

We discuss how string sorting algorithms can be parallelized on modern multi-core shared memory machines. As a synthesis of the best sequential string sorting algorithms and successful parallel sorting algorithms for atomic objects, we…

Data Structures and Algorithms · Computer Science 2013-05-07 Timo Bingmann , Peter Sanders

We describe a parallel approximation algorithm for maximizing monotone submodular functions subject to hereditary constraints on distributed memory multiprocessors. Our work is motivated by the need to solve submodular optimization problems…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-02-18 Shivaram Gopal , S M Ferdous , Hemanta K. Maji , Alex Pothen

This article introduces an algorithm, MergeShuffle, which is an extremely efficient algorithm to generate random permutations (or to randomly permute an existing array). It is easy to implement, runs in $n\log_2 n + O(1)$ time, is in-place,…

Data Structures and Algorithms · Computer Science 2015-08-14 Axel Bacher , Olivier Bodini , Alexandros Hollender , Jérémie Lumbroso

This paper introduces a new comparison base stable sorting algorithm, named RS sort. RS Sort involves only the comparison of pair of elements in an array which ultimately sorts the array and does not involve the comparison of each element…

Data Structures and Algorithms · Computer Science 2014-07-23 Harsh Ranjan , Sumit Agarwal , Niraj Kumar Singh

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 introduce new stable natural merge sort algorithms, called $2$-merge sort and $\alpha$-merge sort. We prove upper and lower bounds for several merge sort algorithms, including Timsort, Shivers' sort, $\alpha$-stack sorts, and our new…

Data Structures and Algorithms · Computer Science 2019-02-12 Sam Buss , Alexander Knop

Gradient boosted decision trees (GBDT) is the leading algorithm for many commercial and academic data applications. We give a deep analysis of this algorithm, especially the histogram technique, which is a basis for the regulized…

Machine Learning · Computer Science 2020-01-28 Yingshi Chen

Matching pursuit algorithms are an important class of algorithms in signal processing and machine learning. We present a blended matching pursuit algorithm, combining coordinate descent-like steps with stronger gradient descent steps, for…

Optimization and Control · Mathematics 2019-11-21 Cyrille W. Combettes , Sebastian Pokutta