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Sorting is at the core of many database operations, such as index creation, sort-merge joins, and user-requested output sorting. As GPUs are emerging as a promising platform to accelerate various operations, sorting on GPUs becomes a viable…

Databases · Computer Science 2017-05-22 Elias Stehle , Hans-Arno Jacobsen

The sorting operation is one of the most commonly used building blocks in computer programming. In machine learning, it is often used for robust statistics. However, seen as a function, it is piecewise linear and as a result includes many…

Machine Learning · Statistics 2020-07-01 Mathieu Blondel , Olivier Teboul , Quentin Berthet , Josip Djolonga

Sorting a set of items is a task that can be useful by itself or as a building block for more complex operations. That is why a lot of effort has been put into finding sorting algorithms that sort large sets as fast as possible. But the…

Data Structures and Algorithms · Computer Science 2020-10-05 Timo Bingmann , Jasper Marianczuk , Peter Sanders

Memristive in-memory sorting has been proposed recently to improve hardware sorting efficiency. Using iterative in-memory min computations, data movements between memory and external processing units can be eliminated for improved latency…

Hardware Architecture · Computer Science 2022-02-22 Lianfeng Yu , Zhaokun Jing , Yuchao Yang , Yaoyu Tao

String sorting is an important part of tasks such as building index data structures. Unfortunately, current string sorting algorithms do not scale to massively parallel distributed-memory machines since they either have latency (at least)…

Data Structures and Algorithms · Computer Science 2024-04-26 Florian Kurpicz , Pascal Mehnert , Peter Sanders , Matthias Schimek

TimSort is an intriguing sorting algorithm designed in 2002 for Python, whose worst-case complexity was announced, but not proved until our recent preprint. In fact, there are two slightly different versions of TimSort that are currently…

Data Structures and Algorithms · Computer Science 2019-07-09 Nicolas Auger , Vincent Jugé , Cyril Nicaud , Carine Pivoteau

We present WiscSort, a new approach to high-performance concurrent sorting for existing and future byte-addressable storage (BAS) devices. WiscSort carefully reduces writes, exploits random reads by splitting keys and values during sorting,…

We present four high performance hybrid sorting methods developed for various parallel platforms: shared memory multiprocessors, distributed multiprocessors, and clusters taking advantage of existence of both shared and distributed memory.…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-03-04 Thoria Alghamdi , Gita Alaghband

Recent works showed that implementations of Quicksort using vector CPU instructions can outperform the non-vectorized algorithms in widespread use. However, these implementations are typically single-threaded, implemented for a particular…

Information Retrieval · Computer Science 2022-05-13 Mark Blacher , Joachim Giesen , Peter Sanders , Jan Wassenberg

Sorted data is usually easier to compress than unsorted permutations of the same data. This motivates a simple compression scheme: specify the sorted permutation of the data along with a representation of the sorted data compressed…

Data Structures and Algorithms · Computer Science 2014-11-24 Oscar Stiffelman

We present Exoshuffle-CloudSort, a sorting application running on top of Ray using the Exoshuffle architecture. Exoshuffle-CloudSort runs on Amazon EC2, with input and output data stored on Amazon S3. Using 40 i4i.4xlarge workers,…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-01-11 Frank Sifei Luan , Stephanie Wang , Samyukta Yagati , Sean Kim , Kenneth Lien , Isaac Ong , Tony Hong , SangBin Cho , Eric Liang , Ion Stoica

We present a stable mergesort variant, Multiway Powersort, that exploits existing runs and finds nearly-optimal merging orders for k-way merges with negligible overhead. This builds on Powersort (Munro & Wild, ESA2018), which has recently…

Data Structures and Algorithms · Computer Science 2023-01-18 William Cawley Gelling , Markus E. Nebel , Benjamin Smith , Sebastian Wild

Quicksort is an instructive classroom approach to parallel sorting on distributed memory parallel computers with many opportunities for illustrating specific implementation alternatives and tradeoffs with common communication interfaces…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-10-25 Jesper Larsson Träff

We study sorting of permutations by random swaps if each comparison gives the wrong result with some fixed probability $p<1/2$. We use this process as prototype for the behaviour of randomized, comparison-based optimization heuristics in…

Neural and Evolutionary Computing · Computer Science 2018-03-14 Tomáš Gavenčiak , Barbara Geissmann , Johannes Lengler

We explored an uncharted part of the solution space for sorting algorithms: the role of symmetry in divide&conquer algorithms. We found/designed novel simple binary Quicksort and Mergesort algorithms operating in contiguous space which…

Data Structures and Algorithms · Computer Science 2024-02-06 Jens Oehlschlägel

A key challenge with machine learning approaches for ranking is the gap between the performance metrics of interest and the surrogate loss functions that can be optimized with gradient-based methods. This gap arises because ranking metrics…

Machine Learning · Computer Science 2021-11-30 Robin Swezey , Aditya Grover , Bruno Charron , Stefano Ermon

Sorting and permutation learning are key concepts in optimization and machine learning, especially when organizing high-dimensional data into meaningful spatial layouts. The Gumbel-Sinkhorn method, while effective, requires N*N parameters…

Machine Learning · Computer Science 2025-04-29 Kai Uwe Barthel , Florian Barthel , Peter Eisert

External sorting is at the core of many operations in large-scale database systems, such as ordering and aggregation queries for large result sets, building indexes, sort-merge joins, duplicate removal, sharding, and record clustering.…

Databases · Computer Science 2023-05-11 Ani Kristo , Tim Kraska

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

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