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A priority queue is a fundamental data structure that maintains a dynamic ordered set of keys and supports the followig basic operations: insertion of a key, deletion of a key, and finding the smallest key. The complexity of the priority…

Data Structures and Algorithms · Computer Science 2012-07-19 Zhewei Wei , Ke Yi

The two most prominent solutions for the sorting problem are Quicksort and Mergesort. While Quicksort is very fast on average, Mergesort additionally gives worst-case guarantees, but needs extra space for a linear number of elements.…

Data Structures and Algorithms · Computer Science 2018-11-05 Stefan Edelkamp , Armin Weiß

We study sorting machines consisting of a stack and a pop stack in series, with or without a queue between them. While there are, a priori, four such machines, only two are essentially different: a pop stack followed directly by a stack,…

Combinatorics · Mathematics 2013-03-07 Rebecca Smith , Vincent Vatter

In the unit-cost comparison model, a black box takes an input two items and outputs the result of the comparison. Problems like sorting and searching have been studied in this model, and it has been generalized to include the concept of…

Data Structures and Algorithms · Computer Science 2020-04-29 Michael A. Bender , Mayank Goswami , Dzejla Mededovic , Pablo Montes , Kostas Tsichlas

Cuckoo hashing [4] is a multiple choice hashing scheme in which each item can be placed in multiple locations, and collisions are resolved by moving items to their alternative locations. In the classical implementation of two-way cuckoo…

Data Structures and Algorithms · Computer Science 2011-11-16 Ely Porat , Bar Shalem

Pbit, besides its simplicity, is definitely the fastest list sorting algorithm. It considerably surpasses all already known methods. Among many advantages, it is stable, linear and be made to run in place. I will compare Pbit with algorithm…

Data Structures and Algorithms · Computer Science 2007-05-23 David S. Płaneta

While SGD, which samples from the data with replacement is widely studied in theory, a variant called Random Reshuffling (RR) is more common in practice. RR iterates through random permutations of the dataset and has been shown to converge…

Machine Learning · Computer Science 2022-02-07 Amirkeivan Mohtashami , Sebastian Stich , Martin Jaggi

Sorting is a fundamental operation in various applications and a traditional research topic in computer science. Improving the performance of sorting operations can have a significant impact on many application domains. For high-performance…

Hardware Architecture · Computer Science 2023-10-13 Amir Hossein Jalilvand , Faeze S. Banitaba , Seyedeh Newsha Estiri , Sercan Aygun , M. Hassan Najafi

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

In this poster abstract we will report on a case study on implementing the Heapsort algorithm in hardware and software and comparing their time and energy consumption. Our experiment shows that the Hardware implementation is more energy…

Previous parallel sorting algorithms do not scale to the largest available machines, since they either have prohibitive communication volume or prohibitive critical path length. We describe algorithms that are a viable compromise and…

Data Structures and Algorithms · Computer Science 2015-02-26 Michael Axtmann , Timo Bingmann , Peter Sanders , Christian Schulz

Because of unmatched improvements in CPU performance, memory transfers have become a bottleneck of program execution. As discovered in recent years, this also affects sorting in internal memory. Since partitioning around several pivots…

Data Structures and Algorithms · Computer Science 2019-05-07 Conrado Martínez , Markus Nebel , Sebastian Wild

Sorting and searching are large parts of database query processing, e.g., in the forms of index creation, index maintenance, and index lookup; and comparing pairs of keys is a substantial part of the effort in sorting and searching. We have…

Databases · Computer Science 2022-09-20 Thanh Do , Goetz Graefe

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

A fork stack is a generalised stack which allows pushes and pops of several items at a time. We consider the problem of determining which input streams can be sorted using a single forkstack, or dually, which permutations of a fixed input…

Discrete Mathematics · Computer Science 2007-05-23 M. H. Albert , M. D. Atkinson

We explore the fundamental problem of sorting through the lens of learning-augmented algorithms, where algorithms can leverage possibly erroneous predictions to improve their efficiency. We consider two different settings: In the first…

Data Structures and Algorithms · Computer Science 2023-11-03 Xingjian Bai , Christian Coester

While modern general-purpose computing systems have ample amounts of memory, it is still the case that embedded computer systems, such as in a refrigerator, are memory limited; hence, such embedded systems motivate the need for strictly…

Data Structures and Algorithms · Computer Science 2026-03-09 Ofek Gila , Michael T. Goodrich , Vinesh Sridhar

We describe a seriation algorithm for ranking a set of items given pairwise comparisons between these items. Intuitively, the algorithm assigns similar rankings to items that compare similarly with all others. It does so by constructing a…

Machine Learning · Computer Science 2016-03-11 Fajwel Fogel , Alexandre d'Aspremont , Milan Vojnovic

The objective behind the Twin Sort technique is to sort the list of unordered data elements efficiently and to allow efficient and simple arrangement of data elements within the data structure with optimization of comparisons and iterations…

Data Structures and Algorithms · Computer Science 2017-10-24 Veeresh D , Thimmaraju S. N , Ravish G. K

Since the work of Kaligosi and Sanders (2006), it is well-known that Quicksort -- which is commonly considered as one of the fastest in-place sorting algorithms -- suffers in an essential way from branch mispredictions. We present a novel…

Data Structures and Algorithms · Computer Science 2016-06-27 Stefan Edelkamp , Armin Weiß
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