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We propose an $O(N\cdot M)$ sorting algorithm by Machine Learning method, which shows a huge potential sorting big data. This sorting algorithm can be applied to parallel sorting and is suitable for GPU or TPU acceleration. Furthermore, we…

Machine Learning · Computer Science 2018-08-16 Hanqing Zhao , Yuehan Luo

Integer sorting is a fundamental problem in computer science. This paper studies parallel integer sort both in theory and in practice. In theory, we show tighter bounds for a class of existing practical integer sort algorithms, which…

Data Structures and Algorithms · Computer Science 2026-05-18 Xiaojun Dong , Laxman Dhulipala , Yan Gu , Yihan Sun

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

Sorting has been one of the most challenging studied problems in different scientific researches. Although many techniques and algorithms have been proposed on the theory of having efficient parallel sorting implementation, however…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-01-17 Zahra Khatami , Sungpack Hong , Jinsoo Lee , Siegfried Depner , Hassan Chafi , J. Ramanujam , Hartmut Kaiser

We discuss how string sorting algorithms can be parallelized on modern multi-core shared memory machines. As a synthesis of the best sequential string sorting algorithms and successful parallel sorting algorithms for atomic objects, we…

Data Structures and Algorithms · Computer Science 2013-05-07 Timo Bingmann , Peter Sanders

We present a novel parallelisation scheme that simplifies the adaptation of learning algorithms to growing amounts of data as well as growing needs for accurate and confident predictions in critical applications. In contrast to other…

Machine Learning · Computer Science 2018-10-09 Michael Kamp , Mario Boley , Olana Missura , Thomas Gärtner

We consider algorithmic problems motivated by modular robotic reconfiguration in the sliding square model, in which we are given $n$ square-shaped modules in a (labeled or unlabeled) start configuration and need to find a schedule of…

Computational Geometry · Computer Science 2025-10-09 Hugo A. Akitaya , Sándor P. Fekete , Peter Kramer , Saba Molaei , Christian Rieck , Frederick Stock , Tobias Wallner

We describe an asynchronous parallel stochastic coordinate descent algorithm for minimizing smooth unconstrained or separably constrained functions. The method achieves a linear convergence rate on functions that satisfy an essential strong…

Optimization and Control · Mathematics 2014-11-12 Ji Liu , Stephen J. Wright , Christopher Ré , Victor Bittorf , Srikrishna Sridhar

Semisort is a fundamental algorithmic primitive widely used in the design and analysis of efficient parallel algorithms. It takes input as an array of records and a function extracting a \emph{key} per record, and reorders them so that…

Data Structures and Algorithms · Computer Science 2023-04-21 Xiaojun Dong , Yunshu Wu , Zhongqi Wang , Laxman Dhulipala , Yan Gu , Yihan Sun

This paper deals with simultaneously fast and in-place algorithms for formulae where the result has to be linearly accumulated: some output variables are also input variables, linked by a linear dependency. Fundamental examples include the…

Symbolic Computation · Computer Science 2025-11-07 Jean-Guillaume Dumas , Bruno Grenet

We consider the design of efficient algorithms for a multicore computing environment with a global shared memory and p cores, each having a cache of size M, and with data organized in blocks of size B. We characterize the class of…

Distributed, Parallel, and Cluster Computing · Computer Science 2011-03-22 Richard Cole , Vijaya Ramachandran

We consider space-saving versions of several important operations on univariate polynomials, namely power series inversion and division, division with remainder, multi-point evaluation, and interpolation. Now-classical results show that…

Symbolic Computation · Computer Science 2020-09-01 Pascal Giorgi , Bruno Grenet , Daniel S. Roche

We give a more space-efficient implementation of adaptive mergesort: Virtual-Memory Powersort. Using internal buffering techniques, we significantly reduce the memory consumption of the algorithm; specifically, for sorting $n$ objects the…

Data Structures and Algorithms · Computer Science 2026-05-27 Finn Moltmann , Tamio-Vesa Nakajima , Sebastian Wild

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

This paper revisits the classic iterative proportional scaling (IPS) from a modern optimization perspective. In contrast to the criticisms made in the literature, we show that based on a coordinate descent characterization, IPS can be…

Computation · Statistics 2018-07-04 Yiyuan She , Shao Tang

Sequential algorithms for the Stable Matching Problem are often too slow in the context of some large scale applications like switch scheduling. Parallel architectures can offer a notable decrease in runtime complexity. We propose a stable…

Data Structures and Algorithms · Computer Science 2024-08-27 Scott Wynn , Alec Kyritsis , Stephora Alberi , Enyue Lu

Matrix multiplication is a fundamental computation in many scientific disciplines. In this paper, we show that novel fast matrix multiplication algorithms can significantly outperform vendor implementations of the classical algorithm and…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-01-08 Austin R. Benson , Grey Ballard

The PC algorithm is the state-of-the-art algorithm for causal structure discovery on observational data. It can be computationally expensive in the worst case due to the conditional independence tests are performed in an…

Machine Learning · Computer Science 2021-09-13 Kai Zhang , Chao Tian , Kun Zhang , Todd Johnson , Xiaoqian Jiang

The approximate minimum degree algorithm is widely used before numerical factorization to reduce fill-in for sparse matrices. While considerable attention has been given to the numerical factorization process, less focus has been placed on…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-02-26 Yen-Hsiang Chang , Aydın Buluç , James Demmel

Parallelization techniques have become ubiquitous for accelerating inference and training of deep neural networks. Despite this, several operations are still performed in a sequential manner. For instance, the forward and backward passes…

Machine Learning · Computer Science 2023-10-30 Federico Danieli , Miguel Sarabia , Xavier Suau , Pau Rodríguez , Luca Zappella