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Sorting is a foundational problem in computer science that is typically employed on sequences or total orders. More recently, a more general form of sorting on partially ordered sets (or posets), where some pairs of elements are…

Data Structures and Algorithms · Computer Science 2022-06-03 Jishnu Roychoudhury , Jatin Yadav

In-place associative integer sorting technique was developed, improved and specialized for distinct integers. The technique is suitable for integer sorting. Hence, given a list S of n integers S[0...n-1], the technique sorts the integers in…

Data Structures and Algorithms · Computer Science 2012-10-08 A. Emre Cetin

A new algorithm, Guidesort, for sorting in the uniprocessor variant of the parallel disk model (PDM) of Vitter and Shriver is presented. The algorithm is deterministic and executes a number of (parallel) I/O operations that comes within a…

Data Structures and Algorithms · Computer Science 2019-02-18 Torben Hagerup

We study a sorting machine consisting of two stacks in series where the first stack has the added restriction such that entries in the stack must be in decreasing order from top to bottom. We give the basis of the class of permutations that…

Combinatorics · Mathematics 2013-01-30 Rebecca Smith

We focus on sorting, which is the building block of many machine learning algorithms, and propose a novel distributed sorting algorithm, named Coded TeraSort, which substantially improves the execution time of the TeraSort benchmark in…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-02-17 Songze Li , Sucha Supittayapornpong , Mohammad Ali Maddah-Ali , A. Salman Avestimehr

Sundararajan and Chakraborty (2007) introduced a new sorting algorithm by modifying the fast and popular Quick sort and removing the interchanges. In a subsequent empirical study, Sourabh, Sundararajan and Chakraborty (2007) demonstrated…

Computation · Statistics 2012-02-28 Prashant Kumar , Anchala Kumari , Soubhik Chakraborty

The aim of the paper is to introduce general techniques in order to optimize the parallel execution time of sorting on a distributed architectures with processors of various speeds. Such an application requires a partitioning step. For…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-08-16 Christophe Cérin , Jean-Christophe Dubacq , Jean-Louis Roch , the SafeScale Collaboration

This dissertation focuses on two fundamental sorting problems: string sorting and suffix sorting. The first part considers parallel string sorting on shared-memory multi-core machines, the second part external memory suffix sorting using…

Data Structures and Algorithms · Computer Science 2018-08-06 Timo Bingmann

Two new algorithms are described for matching two dimensional coordinate lists of point sources that are signifcantly faster than previous methods. By matching rarely occurring triangles (or more complex shapes) in the two lists, and by…

Astrophysics · Physics 2009-11-13 V. Tabur

Graph clustering is a fundamental computational problem with a number of applications in algorithm design, machine learning, data mining, and analysis of social networks. Over the past decades, researchers have proposed a number of…

Data Structures and Algorithms · Computer Science 2019-04-12 He Sun , Luca Zanetti

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

We determine the maximal number of steps required to sort $n$ labeled points on a circle by adjacent swaps. Lower bounds for sorting by all swaps, not necessarily adjacent, are given as well.

Combinatorics · Mathematics 2025-08-07 Ron M. Adin , Noga Alon , Yuval Roichman

Quantum computers are designed to outperform standard computers by running quantum algorithms. Areas in which quantum algorithms can be applied include cryptography, search and optimisation, simulation of quantum systems, and solving large…

Quantum Physics · Physics 2016-02-24 Ashley Montanaro

The use of copula-based models in EDAs (estimation of distribution algorithms) is currently an active area of research. In this context, the copulaedas package for R provides a platform where EDAs based on copulas can be implemented and…

Neural and Evolutionary Computing · Computer Science 2014-07-02 Yasser Gonzalez-Fernandez , Marta Soto

This paper deals with the distributed processing in the search for an optimum classification model using evolutionary product unit neural networks. For this distributed search we used a cluster of computers. Our objective is to obtain a…

Neural and Evolutionary Computing · Computer Science 2012-05-16 A. J. Tallón-Ballesteros , P. A. Gutiérrez-Peña , C. Hervás-Martínez

The Graphics Processing Unit (GPU) is a powerful tool for parallel computing. In the past years the performance and capabilities of GPUs have increased, and the Compute Unified Device Architecture (CUDA) - a parallel computing architecture…

Computational Physics · Physics 2009-12-17 Ferenc Molnar , Tamas Szakaly , Robert Meszaros , Istvan Lagzi

Inspired by a common technique for shuffling a deck of cards on a table without riffling, we formalize the pile shuffle and investigate its capabilities as a sorting device. Our study is novel in that we consider pile shuffle in three…

Combinatorics · Mathematics 2025-06-03 Kyle B. Treleaven

In a factory production line, different industry parts need to be quickly differentiated and sorted for further process. Parts can be of different colors and shapes. It is tedious for humans to differentiate and sort these objects in…

Computer Vision and Pattern Recognition · Computer Science 2021-01-01 Pengchang Chen , Vinayak Elangovan

In this study we propose a hybrid estimation of distribution algorithm (HEDA) to solve the joint stratification and sample allocation problem. This is a complex problem in which each the quality of each stratification from the set of all…

Methodology · Statistics 2022-01-12 Mervyn O'Luing , Steven Prestwich , S. Armagan Tarim

Clustering is inherently ill-posed: there often exist multiple valid clusterings of a single dataset, and without any additional information a clustering system has no way of knowing which clustering it should produce. This motivates the…

Artificial Intelligence · Computer Science 2018-01-31 Toon Van Craenendonck , Sebastijan Dumancic , Hendrik Blockeel
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