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Sparse matrix vector multiplication (SpMV) is central to numerous data-intensive applications, but requires streaming indirect memory accesses that severely degrade both processing and memory throughput in state-of-the-art architectures.…

硬件体系结构 · 计算机科学 2023-11-20 Chi Zhang , Paul Scheffler , Thomas Benz , Matteo Perotti , Luca Benini

Sparse matrix operations involve a large number of zero operands which makes most of the operations redundant. The amount of redundancy magnifies when a matrix operation repeatedly executes on sparse data. Optimizing matrix operations for…

数学软件 · 计算机科学 2023-07-13 Barnali Basak , Uday P. Khedker , Supratim Biswas

Matrix multiplication is a foundational operation in scientific computing and machine learning, yet its computational complexity makes it a significant bottleneck for large-scale applications. The shift to parallel architectures, primarily…

分布式、并行与集群计算 · 计算机科学 2025-07-30 Mufakir Qamar Ansari , Mudabir Qamar Ansari

Fueled by the ability to mine real-world graph data, GNN applications have experienced phenomenal growth. Sparse Matrix-Matrix Multiplication (SpMM) is a critical operator in GNNs. However, existing SpMM designs for GNNs struggle to adapt…

分布式、并行与集群计算 · 计算机科学 2026-05-18 Lixing Zhang , Guanhua Ye , Hongzheng Li , Shigang Li , Yingxia Shao

The sparse matrix/vector product (SpMV) is a fundamental operation in scientific computing. Having access to an efficient SpMV implementation is therefore critical, if not mandatory, to solve challenging numerical problems. The ARM-based…

分布式、并行与集群计算 · 计算机科学 2023-07-28 Evann Regnault , Berenger Bramas

Sparse matrix multiplication is an important kernel for large-scale graph processing and other data-intensive applications. In this paper, we implement various asynchronous, RDMA-based sparse times dense (SpMM) and sparse times sparse…

分布式、并行与集群计算 · 计算机科学 2024-06-06 Benjamin Brock , Aydın Buluç , Katherine Yelick

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

Computing the product of two sparse matrices (SpGEMM) is a fundamental operation in various combinatorial and graph algorithms as well as various bioinformatics and data analytics applications for computing inner-product similarities. For…

分布式、并行与集群计算 · 计算机科学 2021-11-22 Srđan Milaković , Oguz Selvitopi , Israt Nisa , Zoran Budimlić , Aydin Buluc

The importance of general matrix multiplication (GEMM) is motivating new instruction set extensions for multiplying dense matrices in almost all contemporary ISAs, and these extensions are often implemented using high-performance systolic…

硬件体系结构 · 计算机科学 2025-02-18 Tuan Ta , Joshua Randall , Christopher Batten

Sparse generalized matrix-matrix multiplication (SpGEMM) is a fundamental operation for real-world network analysis. With the increasing size of real-world networks, the single-machine-based SpGEMM approach cannot perform SpGEMM on…

数据结构与算法 · 计算机科学 2023-08-29 Myung-Hwan Jang , Yunyong Ko , Hyuck-Moo Gwon , Ikhyeon Jo , Yongjun Park , Sang-Wook Kim

General sparse matrix-matrix multiplication (SpGEMM) is an integral part of many scientific computing, high-performance computing (HPC), and graph analytic applications. This paper presents a new compressed sparse vector (CSV) format for…

性能 · 计算机科学 2021-12-21 Erfan Bank Tavakoli , Michael Riera , Masudul Hassan Quraishi , Fengbo Ren

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

In recent years, novel AI accelerators have emerged as promising alternatives to GPU for AI model training and inference tasks. One such accelerator, the Cerebras CS-3, achieves strong performance on large model training as well as…

分布式、并行与集群计算 · 计算机科学 2026-05-01 Milan Shah , Sheng Di , Michela Becchi

General Sparse Matrix-Matrix Multiplication (SpGEMM) has attracted much attention from researchers in graph analyzing, scientific computing, and deep learning. Many optimization techniques have been developed for different applications and…

分布式、并行与集群计算 · 计算机科学 2023-07-12 Jianhua Gao , Weixing Ji , Fangli Chang , Shiyu Han , Bingxin Wei , Zeming Liu , Yizhuo Wang

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

Sparse matrix multiplication is traditionally performed in memory and scales to large matrices using the distributed memory of multiple nodes. In contrast, we scale sparse matrix multiplication beyond memory capacity by implementing sparse…

分布式、并行与集群计算 · 计算机科学 2016-11-15 Da Zheng , Disa Mhembere , Vince Lyzinski , Joshua Vogelstein , Carey E. Priebe , Randal Burns

Deep learning demonstrates effectiveness across a wide range of tasks. However, the dense and over-parameterized nature of these models results in significant resource consumption during deployment. In response to this issue, weight…

分布式、并行与集群计算 · 计算机科学 2025-03-05 Cong Ma , Du Wu , Zhelang Deng , Jiang Chen , Xiaowen Huang , Jintao Meng , Wenxi Zhu , Bingqiang Wang , Amelie Chi Zhou , Peng Chen , Minwen Deng , Yanjie Wei , Shengzhong Feng , Yi Pan

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

Graph Convolutional Networks (GCNs) are recently getting much attention in bioinformatics and chemoinformatics as a state-of-the-art machine learning approach with high accuracy. GCNs process convolutional operations along with graph…

分布式、并行与集群计算 · 计算机科学 2019-03-28 Yusuke Nagasaka , Akira Nukada , Ryosuke Kojima , Satoshi Matsuoka

The exponentially growing model size drives the continued success of deep learning, but it brings prohibitive computation and memory cost. From the algorithm perspective, model sparsification and quantization have been studied to alleviate…

分布式、并行与集群计算 · 计算机科学 2023-05-09 Shigang Li , Kazuki Osawa , Torsten Hoefler