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Linear algebra operations are widely used in scientific computing and machine learning applications. However, it is challenging for scientists and data analysts to run linear algebra at scales beyond a single machine. Traditional approaches…

分布式、并行与集群计算 · 计算机科学 2018-10-24 Vaishaal Shankar , Karl Krauth , Qifan Pu , Eric Jonas , Shivaram Venkataraman , Ion Stoica , Benjamin Recht , Jonathan Ragan-Kelley

We present parallel and sequential dense QR factorization algorithms for tall and skinny matrices and general rectangular matrices that both minimize communication, and are as stable as Householder QR. The sequential and parallel algorithms…

数值分析 · 数学 2008-09-16 James Demmel , Laura Grigori , Mark Hoemmen , Julien Langou

As the artificial intelligence community advances into the era of large models with billions of parameters, distributed training and inference have become essential. While various parallelism strategies-data, model, sequence, and…

机器学习 · 计算机科学 2025-03-13 Ruifeng She , Bowen Pang , Kai Li , Zehua Liu , Tao Zhong

Efficient task scheduling is paramount in parallel programming on multi-core architectures, where tasks are fundamental computational units. QR factorization is a critical sub-routine in Sequential Least Squares Quadratic Programming…

分布式、并行与集群计算 · 计算机科学 2025-06-12 Soumyajit Chatterjee , Rahul Utkoor , Uppu Eshwar , Sathya Peri , V. Krishna Nandivada

It is well known that the behavior of dense linear algebra algorithms is greatly influenced by factors like target architecture, underlying libraries and even problem size; because of this, the accurate prediction of their performance is a…

数学软件 · 计算机科学 2012-12-11 Elmar Peise , Paolo Bientinesi

With rapidly evolving technology, multicore and manycore processors have emerged as promising architectures to benefit from increasing transistor numbers. The transition towards these parallel architectures makes today an exciting time to…

分布式、并行与集群计算 · 计算机科学 2014-04-01 Ashkan Tousimojarad , Wim Vanderbauwhede

Parallel parameterized complexity theory studies how fixed-parameter tractable (fpt) problems can be solved in parallel. Previous theoretical work focused on parallel algorithms that are very fast in principle, but did not take into account…

数据结构与算法 · 计算机科学 2019-02-21 Max Bannach , Malte Skambath , Till Tantau

Algorithms for frequent pattern mining, a popular informatics application, have unique requirements that are not met by any of the existing parallel tools. In particular, such applications operate on extremely large data sets and have…

分布式、并行与集群计算 · 计算机科学 2012-11-08 Prabhanjan Kambadur , Amol Ghoting , Anshul Gupta , Andrew Lumsdaine

With the growing complexity and capability of contemporary robotic systems, the necessity of sophisticated computing solutions to efficiently handle tasks such as real-time processing, sensor integration, decision-making, and control…

机器人学 · 计算机科学 2025-09-09 Md Rafid Islam

Task graphs have been studied for decades as a foundation for scheduling irregular parallel applications and incorporated in programming models such as OpenMP. While many high-performance parallel libraries are based on task graphs, they…

分布式、并行与集群计算 · 计算机科学 2020-11-09 Seonmyeong Bak , Oscar Hernandez , Mark Gates , Piotr Luszczek , Vivek Sarkar

The pressing demands of improving energy efficiency for high performance scientific computing have motivated a large body of software-controlled hard- ware solutions using Dynamic Voltage and Frequency Scaling (DVFS) that strategically…

分布式、并行与集群计算 · 计算机科学 2015-04-03 Li Tan , Zizhong Chen

This paper presents a GPU-accelerated framework for solving block tridiagonal linear systems that arise naturally in numerous real-time applications across engineering and scientific computing. Through a multi-stage permutation strategy…

最优化与控制 · 数学 2026-01-08 Roland Schwan , Daniel Kuhn , Colin N. Jones

In this paper, we consider the problem of scheduling an application on a parallel computational platform. The application is a particular task graph, either a linear chain of tasks, or a set of independent tasks. The platform is made of…

数据结构与算法 · 计算机科学 2012-10-18 Guillaume Aupy , Anne Benoit

Neural algorithmic reasoners are parallel processors. Teaching them sequential algorithms contradicts this nature, rendering a significant share of their computations redundant. Parallel algorithms however may exploit their full…

机器学习 · 计算机科学 2024-01-04 Valerie Engelmayer , Dobrik Georgiev , Petar Veličković

Linear-scaling electronic-structure techniques, also called O(N) techniques, rely heavily on the multiplication of sparse matrices, where the sparsity arises from spatial cut-offs. In order to treat very large systems, the calculations must…

材料科学 · 物理学 2009-10-31 D. R. Bowler , T. Miyazaki , M. J. Gillan

In this paper we solve on GPUs massive problems with large amount of data, which are not appropriate for solution with the SIMD technology. For the given problem we consider a three-level parallelization. The multithreading of CPU is used…

分布式、并行与集群计算 · 计算机科学 2014-02-18 Natalya Litvinenko

Task-based programming models have demonstrated their efficiency in the development of scientific applications on modern high-performance platforms. They allow delegation of the management of parallelization to the runtime system (RS),…

分布式、并行与集群计算 · 计算机科学 2019-03-20 Bérenger Bramas

An extremely common bottleneck encountered in statistical learning algorithms is inversion of huge covariance matrices, examples being in evaluating Gaussian likelihoods for a large number of data points. We propose general parallel…

统计方法学 · 统计学 2013-12-09 Anjishnu Banerjee , Joshua Vogelstein , David Dunson

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…

分布式、并行与集群计算 · 计算机科学 2026-02-26 Yen-Hsiang Chang , Aydın Buluç , James Demmel

Scheduling query execution plans is a particularly complex problem in shared-nothing parallel systems, where each site consists of a collection of local time-shared (e.g., CPU(s) or disk(s)) and space-shared (e.g., memory) resources and…

数据库 · 计算机科学 2014-04-01 Minos Garofalakis , Yannis Ioannidis