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In the first place, a novel, yet straightforward in-place integer value-sorting algorithm is presented. It sorts in linear time using constant amount of additional memory for storing counters and indices beside the input array. The…

Data Structures and Algorithms · Computer Science 2013-07-11 A. Emre Cetin

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

The paper introduces RADULS, a new parallel sorter based on radix sort algorithm, intended to organize ultra-large data sets efficiently. For example 4G 16-byte records can be sorted with 16 threads in less than 15 seconds on Intel…

Data Structures and Algorithms · Computer Science 2016-12-09 Marek Kokot , Sebastian Deorowicz , Agnieszka Debudaj-Grabysz

This paper is motivated by the vision of more efficient packet classification mechanisms that self-optimize in a demand-aware manner. At the heart of our approach lies a self-adjusting linear list data structure, where unlike in the classic…

Data Structures and Algorithms · Computer Science 2021-10-01 Maciej Pacut , Juan Vanerio , Vamsi Addanki , Arash Pourdamghani , Gabor Retvari , Stefan Schmid

There is excitement within the algorithms community about a new partitioning method introduced by Yaroslavskiy. This algorithm renders Quicksort slightly faster than the case when it runs under classic partitioning methods. We show that…

Data Structures and Algorithms · Computer Science 2014-11-18 Sebastian Wild , Markus E. Nebel , Hosam Mahmoud

We present a sorting algorithm that works in-place, executes in parallel, is cache-efficient, avoids branch-mispredictions, and performs work O(n log n) for arbitrary inputs with high probability. The main algorithmic contributions are new…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-07-03 Michael Axtmann , Sascha Witt , Daniel Ferizovic , Peter Sanders

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 age of big data, sorting is an indispensable operation for DBMSes and similar systems. Having data sorted can help produce query plans with significantly lower run times. It also can provide other benefits like having non-blocking…

Databases · Computer Science 2022-07-27 Michael Polyntsov , Valentin Grigorev , Kirill Smirnov , George Chernishev

We engineer algorithms for sorting huge data sets on massively parallel machines. The algorithms are based on the multiway merging paradigm. We first outline an algorithm whose I/O requirement is close to a lower bound. Thus, in contrast to…

Data Structures and Algorithms · Computer Science 2009-10-15 Mirko Rahn , Peter Sanders , Johannes Singler

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

In this paper, we consider a stochastic distributed nonconvex optimization problem with the cost function being distributed over $n$ agents having access only to zeroth-order (ZO) information of the cost. This problem has various machine…

Optimization and Control · Mathematics 2022-01-11 Xinlei Yi , Shengjun Zhang , Tao Yang , Karl H. Johansson

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

A simple and fast analysis method to sort large data sets into groups with shared distinguishing characteristics is described, and applied to single molecular break junction conductance versus electrode displacement data. The method, based…

Mesoscale and Nanoscale Physics · Physics 2018-01-10 J. M. Hamill , X. T. Zhao , G. Mészáros , M. R. Bryce , M. Arenz

Certifiable robustness gives the guarantee that small perturbations around an input to a classifier will not change the prediction. There are two approaches to provide certifiable robustness to adversarial examples: a) explicitly training…

Machine Learning · Computer Science 2025-08-04 Meiyu Zhong , Ravi Tandon

Bitmap indexes must be compressed to reduce input/output costs and minimize CPU usage. To accelerate logical operations (AND, OR, XOR) over bitmaps, we use techniques based on run-length encoding (RLE), such as Word-Aligned Hybrid (WAH)…

Databases · Computer Science 2016-08-02 Daniel Lemire , Owen Kaser , Kamel Aouiche

We investigate how sorting algorithms efficiently overcome the exponential size of the permutation space. Our main contribution is a new continuous-time formulation of sorting as a gradient flow on the permutohedron, yielding an independent…

Data Structures and Algorithms · Computer Science 2025-04-24 Jonathan Landers

Sorting is one of the most basic primitives in many algorithms and data analysis tasks. Comparison-based sorting algorithms, like quick-sort and merge-sort, are known to be optimal when the outcome of each comparison is error-free. However,…

Data Structures and Algorithms · Computer Science 2025-05-06 Ragesh Jaiswal , Amit Kumar , Jatin Yadav

This paper describes in detail the bitonic sort algorithm,and implements the bitonic sort algorithm based on cuda architecture.At the same time,we conduct two effective optimization of implementation details according to the characteristics…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-10-31 Qi Mu , Liqing Cui , Yufei Song

In machine learning, it is commonly assumed that training and test data share the same population distribution. However, this assumption is often violated in practice because the sample selection bias may induce the distribution shift from…

Machine Learning · Computer Science 2020-06-09 Kun Kuang , Hengtao Zhang , Fei Wu , Yueting Zhuang , Aijun Zhang

Iterative methods play an important role in science and engineering applications, with uses ranging from linear system solvers in finite element methods to optimization solvers in model predictive control. Recently, a new computational…

Numerical Analysis · Mathematics 2022-05-10 Ian McInerney
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