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Sparse matrix multiplication (SpGEMM) is a fundamental kernel used in many diverse application areas, both numerical and discrete. For example, many algebraic graph algorithms rely on SpGEMM in the tropical semiring to compute shortest…

分布式、并行与集群计算 · 计算机科学 2022-06-01 Alexander van der Grinten , Geert Custers , Duy Le Thanh , Henning Meyerhenke

Sparse general matrix-matrix multiplication (SpGEMM) is a critical operation in many applications. Current multithreaded implementations are based on Gustavson's algorithm and often perform poorly on large matrices due to limited cache…

分布式、并行与集群计算 · 计算机科学 2025-04-11 Jordi Wolfson-Pou , Jan Laukemann , Fabrizio Petrini

Sparse Matrix-matrix Multiplication (SpMM) and Sampled Dense-dense Matrix Multiplication (SDDMM) are important sparse operators in scientific computing and deep learning. Tensor Core Units (TCUs) enhance modern accelerators with superior…

分布式、并行与集群计算 · 计算机科学 2024-12-17 Jinliang Shi , Shigang Li , Youxuan Xu , Rongtian Fu , Xueying Wang , Tong Wu

Sparse matrix-vector multiplication (SpMV) multiplies a sparse matrix with a dense vector. SpMV plays a crucial role in many applications, from graph analytics to deep learning. The random memory accesses of the sparse matrix make…

硬件体系结构 · 计算机科学 2022-05-10 Linghao Song , Yuze Chi , Licheng Guo , Jason Cong

Scientific workloads have traditionally exploited high levels of sparsity to accelerate computation and reduce memory requirements. While deep neural networks can be made sparse, achieving practical speedups on GPUs is difficult because…

机器学习 · 计算机科学 2020-09-02 Trevor Gale , Matei Zaharia , Cliff Young , Erich Elsen

Most, if not all the modern scientific simulation packages utilize matrix algebra operations. Among the operation of the linear algebra, one of the most important kernels is the multiplication of matrices, dense and sparse. Examples of…

分布式、并行与集群计算 · 计算机科学 2019-10-14 Ilia Sivkov , Alfio Lazzaro , Juerg Hutter

In this paper, we focus on three sparse matrix operations that are relevant for machine learning applications, namely, the sparse-dense matrix multiplication (SPMM), the sampled dense-dense matrix multiplication (SDDMM), and the composition…

机器学习 · 计算机科学 2023-11-02 Mohammad Zubair , Christoph Bauinger

HipMCL is a high-performance distributed memory implementation of the popular Markov Cluster Algorithm (MCL) and can cluster large-scale networks within hours using a few thousand CPU-equipped nodes. It relies on sparse matrix computations…

分布式、并行与集群计算 · 计算机科学 2020-02-26 Oguz Selvitopi , Md Taufique Hussain , Ariful Azad , Aydın Buluç

We design and develop a work-efficient multithreaded algorithm for sparse matrix-sparse vector multiplication (SpMSpV) where the matrix, the input vector, and the output vector are all sparse. SpMSpV is an important primitive in the…

分布式、并行与集群计算 · 计算机科学 2016-10-26 Ariful Azad , Aydin Buluc

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

Sparse matrix-vector multiplication (SpMV) is crucial in computational science, engineering, and machine learning. Despite substantial efforts to improve SpMV performance on GPUs through various techniques, issues related to data locality,…

分布式、并行与集群计算 · 计算机科学 2026-05-19 Xing Cong , Fukai Sun , Yifan Chen , Chenhao Xie* , Yi Liu , Depei Qian

Graph neural networks (GNNs), an emerging deep learning model class, can extract meaningful representations from highly expressive graph-structured data and are therefore gaining popularity for wider ranges of applications. However, current…

机器学习 · 计算机科学 2021-04-27 Chien-Yu Lin , Liang Luo , Luis Ceze

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

Sparse matrix multiplication operators (i.e., SpMM and SDDMM) are widely used in deep learning and scientific computing. Modern accelerators are commonly equipped with Tensor Core Units (TCUs) and CUDA cores to accelerate sparse operators.…

分布式、并行与集群计算 · 计算机科学 2025-12-23 Jinliang Shi , Shigang Li , Youxuan Xu , Xueying Wang , Rongtian Fu , Zhi Ma , Tong Wu

High-performance sparse matrix-matrix (SpMM) multiplication is paramount for science and industry, as the ever-increasing sizes of data prohibit using dense data structures. Yet, existing hardware, such as Tensor Cores (TC), is ill-suited…

分布式、并行与集群计算 · 计算机科学 2024-08-22 Patrik Okanovic , Grzegorz Kwasniewski , Paolo Sylos Labini , Maciej Besta , Flavio Vella , Torsten Hoefler

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

Sparse matrix-vector multiplication (SpMV) is a fundamental operation with a wide range of applications in scientific computing and artificial intelligence. However, the large scale and sparsity of sparse matrix often make it a performance…

分布式、并行与集群计算 · 计算机科学 2025-04-15 Chen Yan , Boyu Diao , Hangda Liu , Zhulin An , Yongjun Xu

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

Several manufacturers have already started to commercialize near-bank Processing-In-Memory (PIM) architectures. Near-bank PIM architectures place simple cores close to DRAM banks and can yield significant performance and energy improvements…

硬件体系结构 · 计算机科学 2022-05-24 Christina Giannoula , Ivan Fernandez , Juan Gómez-Luna , Nectarios Koziris , Georgios Goumas , Onur Mutlu

Sparse matrix-dense matrix multiplication (SpMM) is a critical kernel in both scientific computing and emerging graph learning workloads. The recent Armv9 architecture introduces Scalable Matrix Extension (SME), enabling tile-based matrix…

分布式、并行与集群计算 · 计算机科学 2025-11-14 Kelun Lei , Hailong Yang , Kaige Zhang , Kejie Ma , Yiqing Wang , Xin You , Yufan Xu , Enrique S. Quintana-Orti , Zhongzhi Luan , Yi Liu , Depei Qian