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Sparse matrix vector multiplication (SpMV) is an important kernel in scientific and engineering applications. The previous optimizations are sparse matrix format specific and expose the choice of the best format to application programmers.…

数学软件 · 计算机科学 2012-10-10 Jiajia Li , Xiuxia Zhang , Guangming Tan , Mingyu Chen

Sparse matrix-vector multiplication (spMVM) is the most time-consuming kernel in many numerical algorithms and has been studied extensively on all modern processor and accelerator architectures. However, the optimal sparse matrix data…

数学软件 · 计算机科学 2014-10-21 Moritz Kreutzer , Georg Hager , Gerhard Wellein , Holger Fehske , Alan R. Bishop

Sparse matrix-vector multiplication (SpMV) is a fundamental operation in machine learning, scientific computing, and graph algorithms. In this paper, we investigate the space, time, and energy efficiency of SpMV using various compressed…

数据结构与算法 · 计算机科学 2024-09-30 Francesco Tosoni , Philip Bille , Valerio Brunacci , Alessio De Angelis , Paolo Ferragina , Giovanni Manzini

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

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

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

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 is often employed in many data-analytic workloads in which low latency and high throughput are more valuable than exact numerical convergence. FPGAs provide quick execution times while offering precise…

分布式、并行与集群计算 · 计算机科学 2020-09-23 Alberto Parravicini , Francesco Sgherzi , Marco D. Santambrogio

Approximate matrix multiplication with limited space has received ever-increasing attention due to the emergence of large-scale applications. Recently, based on a popular matrix sketching algorithm -- frequent directions, previous work has…

机器学习 · 计算机科学 2024-06-25 Yuanyu Wan , Lijun Zhang

Accelerators for sparse matrix multiplication are important components in emerging systems. In this paper, we study the main challenges of accelerating Sparse Matrix Multiplication (SpMM). For the situations that data is not stored in the…

硬件体系结构 · 计算机科学 2019-06-04 Pareesa Ameneh Golnari , Sharad Malik

Sparse coding (Sc) has been studied very well as a powerful data representation method. It attempts to represent the feature vector of a data sample by reconstructing it as the sparse linear combination of some basic elements, and a $L_2$…

机器学习 · 计算机科学 2016-03-15 Mohua Zhang , Jianhua Peng , Xuejie Liu , Jim Jing-Yan Wang

We propose a new sparse matrix format, PackSELL, designed to support diverse data representations and enable efficient sparse matrix-vector multiplication (SpMV) on GPUs. Building on sliced ELLPACK (SELL), PackSELL incorporates delta…

分布式、并行与集群计算 · 计算机科学 2026-04-16 Kengo Suzuki , Takeshi Iwashita

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 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

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

This paper proposes a new hardware accelerator for sparse convolutional neural networks (CNNs) by building a hardware unit to perform the Image to Column (IM2COL) transformation of the input feature map coupled with a systolic array-based…

硬件体系结构 · 计算机科学 2021-11-29 Mohammadreza Soltaniyeh , Richard P. Martin , Santosh Nagarakatte

In this paper, a run-time auto-tuning method for performance parameters according to input matrices is proposed. RAO-SS (Run-time Auto-tuning Optimizer for Sparse Solvers), which is a prototype of auto-tuning software using the proposed…

数学软件 · 计算机科学 2024-08-23 Takahiro Katagiri , Yoshinori Ishii , Hiroki Honda

This paper presents an efficient technique for matrix-vector and vector-transpose-matrix multiplication in distributed-memory parallel computing environments, where the matrices are unstructured, sparse, and have a substantially larger…

数学软件 · 计算机科学 2018-12-04 Jonathan Eckstein , Gyorgy Matyasfalvi

Sparse Matrix-Vector Multiplication (SpMV) has become a critical performance bottleneck in the local deployment of sparse Large Language Models (LLMs), where inference predominantly operates on workloads during the decoder phase with a…

分布式、并行与集群计算 · 计算机科学 2025-07-17 Junqing Lin , Jingwei Sun , Mingge Lu , Guangzhong Sun

This paper presents a low-overhead optimizer for the ubiquitous sparse matrix-vector multiplication (SpMV) kernel. Architectural diversity among different processors together with structural diversity among different sparse matrices lead to…

性能 · 计算机科学 2017-11-16 Athena Elafrou , Georgios Goumas , Nektarios Koziris
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