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This work analyzes and parallelizes LearnedSort, the novel algorithm that sorts using machine learning models based on the cumulative distribution function. LearnedSort is analyzed under the lens of algorithms with predictions, and it is…

Machine Learning · Computer Science 2023-08-30 Ivan Carvalho , Ramon Lawrence

Column-oriented indexes-such as projection or bitmap indexes-are compressed by run-length encoding to reduce storage and increase speed. Sorting the tables improves compression. On realistic data sets, permuting the columns in the right…

Databases · Computer Science 2015-03-13 Daniel Lemire , Owen Kaser

Sorting is one of the most used and well investigated algorithmic problem [1]. Traditional postulation supposes the sorting data archived, and the elementary operation as comparisons of two numbers. In a view of appearance of new processors…

Data Structures and Algorithms · Computer Science 2011-07-22 Hakob Aslanyan

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

Fully Homomorphic Encryption (FHE) enables operations on encrypted data, making it extremely useful for privacy-preserving applications, especially in cloud computing environments. In such contexts, operations like ranking, order…

Cryptography and Security · Computer Science 2025-02-11 Federico Mazzone , Maarten Everts , Florian Hahn , Andreas Peter

One important tool is the optimal clustering of data into useful categories. Dividing similar objects into a smaller number of clusters is of importance in many applications. These include search engines, monitoring of academic performance,…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-09-21 Gavriel Yarmish , Philip Listowsky , Simon Dexter

Recently, lattice reduction (LR) technique has caught great attention for multi-input multi-output (MIMO) receiver because of its low complexity and high performance. However, when the number of antennas is large, LR-aided linear detectors…

Information Theory · Computer Science 2013-04-04 Qi Zhou , Xiaoli Ma

Let $G$ be an $n$-vertex graph, and $s,t$ vertices of $G$. We present an efficient algorithm which enumerates the set of minimal $st$-separators of $G$ in ascending order of cardinality, with a delay of $O(n^{3.5})$ per separator. In…

Data Structures and Algorithms · Computer Science 2021-12-03 Batya Kenig

A wide range of applications, most notably in comparative genomics, involve the computation of a shortest sorting sequence of operations for a given permutation, where the set of allowed operations is fixed beforehand. Such sequences are…

Data Structures and Algorithms · Computer Science 2017-03-27 Carlo Comin , Anthony Labarre , Romeo Rizzi , Stéphane Vialette

Prior work studies the question of ``fairly'' ordering transactions in a replicated state machine. Each of $n$ replicas receives transactions in a possibly different order, and the system must aggregate the observed orderings into a single…

Cryptography and Security · Computer Science 2024-10-02 Geoffrey Ramseyer , Ashish Goel

Karp et al. (1988) described Deferred Data Structures for Multisets as "lazy" data structures which partially sort data to support online rank and select queries, with the minimum amount of work in the worst case over instances of size $n$…

Data Structures and Algorithms · Computer Science 2016-10-03 Jérémy Barbay , Carlos Ochoa , Srinivasa Rao Satti

As job redundancy has been recognized as an effective means to improve performance of large-scale computer systems, queueing systems with redundancy have been studied by various authors. Existing results include methods to compute the queue…

Performance · Computer Science 2024-01-17 Nicolas Gast , Benny van Houdt

State-of-the-art parallel sorting algorithms for distributed-memory architectures are based on computing a balanced partitioning via sampling and histogramming. By finding samples that partition the sorted keys into evenly-sized chunks,…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-05-30 Wentao Yang , Vipul Harsh , Edgar Solomonik

We examine the amount of preprocessing needed for answering certain on-line queries as fast as possible. We start with the following basic problem. Suppose we are given a semigroup $(S,\circ )$. Let $s_1 ,\ldots, s_n$ be elements of $S$. We…

Data Structures and Algorithms · Computer Science 2024-06-11 Noga Alon , Baruch Schieber

In this two-part paper, we consider SDL constructions of optical queues with a limited number of recirculations through the optical switches and the fiber delay lines. We show that the constructions of certain types of optical queues,…

Information Theory · Computer Science 2010-04-26 Jay Cheng , Cheng-Shang Chang , Sheng-Hua Yang , Tsz-Hsuan Chao , Duan-Shin Lee , Ching-Min Lien

We propose a First-Order System Least Squares (FOSLS) method based on deep-learning for numerically solving second-order elliptic PDEs. The method we propose is capable of dealing with either variational and non-variational problems, and…

Numerical Analysis · Mathematics 2022-12-15 Francisco M. Bersetche , Juan Pablo Borthagaray

This paper is an attempt to remedy the problem of slow convergence for first-order numerical algorithms by proposing an adaptive conditioning heuristic. First, we propose a parallelizable numerical algorithm that is capable of solving…

Optimization and Control · Mathematics 2021-03-02 Muhammad Adil , Sasan Tavakkol , Ramtin Madani

In this paper we generalize the idea of QuickHeapsort leading to the notion of QuickXsort. Given some external sorting algorithm X, QuickXsort yields an internal sorting algorithm if X satisfies certain natural conditions. With…

Data Structures and Algorithms · Computer Science 2013-07-12 Stefan Edelkamp , Armin Weiß

Various decision support systems are available that implement Data Mining and Data Warehousing techniques for diving into the sea of data for getting useful patterns of knowledge (pearls). Classification, regression, clustering, and many…

Cryptography and Security · Computer Science 2024-03-01 Mohammad Khalid Imam Rahmani

The area of computing with uncertainty considers problems where some information about the input elements is uncertain, but can be obtained using queries. For example, instead of the weight of an element, we may be given an interval that is…

Data Structures and Algorithms · Computer Science 2021-01-15 Thomas Erlebach , Michael Hoffmann , Murilo S. de Lima
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