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In this paper, we propose an optimization selection methodology for the ubiquitous sparse matrix-vector multiplication (SpMV) kernel. We propose two models that attempt to identify the major performance bottleneck of the kernel for every…

性能 · 计算机科学 2016-01-12 Athena Elafrou , Georgios Goumas , Nectarios Koziris

Sparse matrix-vector multiplication (SpMV) is a crucial computing kernel with widespread applications in iterative algorithms. Over the past decades, research on SpMV optimization has made remarkable strides, giving rise to various…

分布式、并行与集群计算 · 计算机科学 2024-04-10 Jianhua Gao , Bingjie Liu , Weixing Ji , Hua Huang

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

The sparse matrix-vector (SpMV) multiplication is an important computational kernel, but it is notoriously difficult to execute efficiently. This paper investigates algorithm performance for unstructured sparse matrices, which are more…

分布式、并行与集群计算 · 计算机科学 2025-02-27 Kobe Bergmans , Karl Meerbergen , Raf Vandebril

Sparse Matrix Vector multiplication (SpMV) is one of basic building blocks in scientific computing, and acceleration of SpMV has been continuously required. In this research, we aim for accelerating SpMV on recent CPUs for sparse matrices…

分布式、并行与集群计算 · 计算机科学 2021-05-12 Takeshi Fukaya , Koki Ishida , Akie Miura , Takeshi Iwashita , Hiroshi Nakashima

The SpMV kernel is characterized by high performance variation per input matrix and computing platform. While GPUs were considered State-of-the-Art for SpMV, with the emergence of advanced multicore CPUs and low-power FPGA accelerators, we…

分布式、并行与集群计算 · 计算机科学 2023-02-09 Panagiotis Mpakos , Dimitrios Galanopoulos , Petros Anastasiadis , Nikela Papadopoulou , Nectarios Koziris , Georgios Goumas

Sparse matrix vector multiplication (SpMV) is one of the most common operations in scientific and high-performance applications, and is often responsible for the application performance bottleneck. While the sparse matrix representation has…

数学软件 · 计算机科学 2018-05-31 Shizhao Chen , Jianbin Fang , Donglin Chen , Chuanfu Xu , Zheng Wang

Sparse matrix-dense matrix multiplication (SpMM) is a critical kernel in scientific computing, graph analytics, and machine learning, whose performance is often constrained by memory bandwidth. In this work, we investigate the applicability…

分布式、并行与集群计算 · 计算机科学 2026-04-09 Matthew Qian , Yahia Ramadan , Suhita Anubha , Ariful Azad

Iterative solutions of sparse linear systems and sparse eigenvalue problems have a fundamental role in vital fields of scientific research and engineering. The crucial computing kernel for such iterative solutions is the multiplication of a…

数据结构与算法 · 计算机科学 2022-12-16 Thaha Mohammed , Rashid Mehmood

Sparse matrix-vector and matrix-matrix multiplication (SpMV and SpMM) are fundamental in both conventional (graph analytics, scientific computing) and emerging (sparse DNN, GNN) domains. Workload-balancing and parallel-reduction are…

分布式、并行与集群计算 · 计算机科学 2021-10-15 Guyue Huang , Guohao Dai , Yu Wang , Yufei Ding , Yuan Xie

Field Programmable Gate Arrays generate algorithmic specific architectures that improve the code's FLOP per watt ratio. Such devices are re-gaining interest due to the rise of new tools that facilitate their programming, such as OmpSs. The…

计算物理 · 物理学 2021-07-28 Guillermo Oyarzun , Daniel Peyrolon , Carlos Alvarez , Xavier Martorell

The multiplication of a sparse matrix with a dense vector (SpMV) is a key component in many numerical schemes and its performance is known to be severely limited by main memory access. Several numerical schemes require the multiplication of…

数值分析 · 数学 2023-01-11 Christie L. Alappat , Georg Hager , Olaf Schenk , Gerhard Wellein

Sparse Matrix-Matrix multiplication is a key kernel that has applications in several domains such as scientific computing and graph analysis. Several algorithms have been studied in the past for this foundational kernel. In this paper, we…

分布式、并行与集群计算 · 计算机科学 2018-01-10 Mehmet Deveci , Christian Trott , Sivasankaran Rajamanickam

Sparse Matrix-Vector multiplication (SpMV) is an essential computational kernel in many application scenarios. Tens of sparse matrix formats and implementations have been proposed to compress the memory storage and speed up SpMV…

分布式、并行与集群计算 · 计算机科学 2022-12-22 Zhen Du , Jiajia Li , Yinshan Wang , Xueqi Li , Guangming Tan , Ninghui Sun

The increasing importance of multicore processors calls for a reevaluation of established numerical algorithms in view of their ability to profit from this new hardware concept. In order to optimize the existent algorithms, a detailed…

性能 · 计算机科学 2012-03-01 Gerald Schubert , Georg Hager , Holger Fehske

Sparse matrix-vector multiplication (spMVM) is the dominant operation in many sparse solvers. We investigate performance properties of spMVM with matrices of various sparsity patterns on the nVidia "Fermi" class of GPGPUs. A new "padded…

分布式、并行与集群计算 · 计算机科学 2013-03-08 Moritz Kreutzer , Georg Hager , Gerhard Wellein , Holger Fehske , Achim Basermann , Alan R. Bishop

Sparse matrix computation is crucial in various modern applications, including large-scale graph analytics, deep learning, and recommender systems. The performance of sparse kernels varies greatly depending on the structure of the input…

硬件体系结构 · 计算机科学 2024-07-31 Francesco Sgherzi , Marco Siracusa , Ivan Fernandez , Adrià Armejach , Miquel Moretó

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

Achieving high performance for sparse applications is challenging due to irregular access patterns and weak locality. These properties preclude many static optimizations and degrade cache performance on traditional systems. To address these…

分布式、并行与集群计算 · 计算机科学 2018-12-17 Thomas B. Rolinger , Christopher D. Krieger

Sparse Matrix-Matrix Multiplication (SpMM) is a fundamental computation in graph analytics, scientific simulation, and sparse deep learning workloads. However, the extreme irregularity of real-world sparse matrices prevents existing…

分布式、并行与集群计算 · 计算机科学 2026-03-11 Aiying Li , Jingwei Sun , Han Li , Wence Ji , Guangzhong Sun
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