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相关论文: Adaptive Row-grouped CSR Format for Storing of Spa…

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In this article we present a new format for storing sparse matrices. The format is designed to perform well mainly on the GPU devices. We present its implementation in CUDA. The performance has been tested on 1,600 different types of…

分布式、并行与集群计算 · 计算机科学 2010-12-13 Tomáš Oberhuber , Atsushi Suzuki , Jan Vacata

A new format for storing sparse matrices is proposed for efficient sparse matrix-vector (SpMV) product calculation on modern graphics processing units (GPUs). This format extends the standard compressed row storage (CRS) format and can be…

计算物理 · 物理学 2014-04-29 Zbigniew Koza , Maciej Matyka , Sebastian Szkoda , Łukasz Mirosław

Sparse matrix-vector multiplication (SpMV) is a fundamental building block for numerous applications. In this paper, we propose CSR5 (Compressed Sparse Row 5), a new storage format, which offers high-throughput SpMV on various platforms…

数学软件 · 计算机科学 2015-04-13 Weifeng Liu , Brian Vinter

We implement two novel algorithms for sparse-matrix dense-matrix multiplication (SpMM) on the GPU. Our algorithms expect the sparse input in the popular compressed-sparse-row (CSR) format and thus do not require expensive format conversion.…

分布式、并行与集群计算 · 计算机科学 2018-06-13 Carl Yang , Aydin Buluc , John D. Owens

We consider the problem of developing an efficient multi-threaded implementation of the matrix-vector multiplication algorithm for sparse matrices with structural symmetry. Matrices are stored using the compressed sparse row-column format…

分布式、并行与集群计算 · 计算机科学 2015-05-18 Vicente H. F. Batista , George O. Ainsworth , Fernando L. B. Ribeiro

Runtime characteristics of sparse matrix computations and related processes may be often improved by reducing memory footprints of involved matrices. Such a reduction can be usually achieved when matrices are processed in a block-wise…

数值分析 · 计算机科学 2018-01-01 Daniel Langr

Sparse data structures are commonly used in neural networks to reduce the memory footprint. These data structures are compact but cause irregularities such as random memory accesses, which prevent efficient use of the memory hierarchy. GPUs…

编程语言 · 计算机科学 2025-06-19 Hossein Albakri , Kazem Cheshmi

Sparse matrix representations are ubiquitous in computational science and machine learning, leading to significant reductions in compute time, in comparison to dense representation, for problems that have local connectivity. The adoption of…

机器学习 · 计算机科学 2023-11-13 Nicolas Nytko , Ali Taghibakhshi , Tareq Uz Zaman , Scott MacLachlan , Luke N. Olson , Matt West

Multiplication of a sparse matrix to a dense matrix (SpDM) is widely used in many areas like scientific computing and machine learning. However, existing works under-look the performance optimization of SpDM on modern many-core…

分布式、并行与集群计算 · 计算机科学 2020-06-01 Shaohuai Shi , Qiang Wang , Xiaowen Chu

Sparse linear algebra kernels play a critical role in numerous applications, covering from exascale scientific simulation to large-scale data analytics. Offloading linear algebra kernels on one GPU will no longer be viable in these…

分布式、并行与集群计算 · 计算机科学 2022-09-19 Jieyang Chen , Chenhao Xie , Jesun S Firoz , Jiajia Li , Shuaiwen Leon Song , Kevin Barker , Mark Raugas , Ang Li

We suggest a technique to reduce the storage size of sparse matrices at no loss of information. We call this technique Diagonally-Adressed (DA) storage. It exploits the typically low matrix bandwidth of matrices arising in applications. For…

数值分析 · 数学 2025-01-24 Jens Saak , Jonas Schulze

Sparse matrix-vector multiplication (SpMV) is one of the most important kernels in high-performance computing (HPC), yet SpMV normally suffers from ill performance on many devices. Due to ill performance, SpMV normally requires special care…

分布式、并行与集群计算 · 计算机科学 2023-01-09 Phillip Allen Lane , Joshua Dennis Booth

Sparse matrix multiplication is an important component of linear algebra computations. In this paper, an architecture based on Content Addressable Memory (CAM) and Resistive Content Addressable Memory (ReCAM) is proposed for accelerating…

硬件体系结构 · 计算机科学 2017-05-30 Leonid Yavits , Ran Ginosar

We present a novel, practical approach to speed up sparse matrix-vector multiplication (SpMVM) on GPUs. The novel key idea is to apply lossless entropy coding to further compress the sparse matrix when stored in one of the commonly…

性能 · 计算机科学 2026-03-03 Emil Schätzle , Tommaso Pegolotti , Markus Püschel

Reducing the memory footprint of neural networks is a crucial prerequisite for deploying them in small and low-cost embedded devices. Network parameters can often be reduced significantly through pruning. We discuss how to best represent…

数据结构与算法 · 计算机科学 2021-11-25 Elias Trommer , Bernd Waschneck , Akash Kumar

The Variable Block Row (VBR) format is an influential blocked sparse matrix format designed for matrices with shared sparsity structure between adjacent rows and columns. VBR groups adjacent rows and columns, storing the resulting blocks…

数据结构与算法 · 计算机科学 2023-10-13 Willow Ahrens , Erik G. Boman

Sparse-dense linear algebra is crucial in many domains, but challenging to handle efficiently on CPUs, GPUs, and accelerators alike; multiplications with sparse formats like CSR and CSF require indirect memory lookups. In this work, we…

硬件体系结构 · 计算机科学 2020-12-15 Paul Scheffler , Florian Zaruba , Fabian Schuiki , Torsten Hoefler , Luca Benini

Nowadays, several industrial applications are being ported to parallel architectures. In fact, these platforms allow acquire more performance for system modelling and simulation. In the electric machines area, there are many problems which…

分布式、并行与集群计算 · 计算机科学 2010-10-25 Antonio Wendell De Oliveira Rodrigues , Frédéric Guyomarch , Yvonnick Le Menach , Jean-Luc Dekeyser

Sparse matrix-vector multiplication (SpMV) is a central building block for scientific software and graph applications. Recently, heterogeneous processors composed of different types of cores attracted much attention because of their…

数学软件 · 计算机科学 2015-09-15 Weifeng Liu , Brian Vinter

Sparse matrices and linear algebra are at the heart of scientific simulations. Over the years, more than 70 sparse matrix storage formats have been developed, targeting a wide range of hardware architectures and matrix types, each of which…

分布式、并行与集群计算 · 计算机科学 2023-04-20 Christodoulos Stylianou , Mark Klaisoongnoen , Ricardo Jesus , Nick Brown , Michele Weiland
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