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Sparse general matrix multiplication (SpGEMM) is a fundamental building block for many real-world applications. Since SpGEMM is a well-known memory-bounded application with vast and irregular memory accesses, considering the memory access…

分布式、并行与集群计算 · 计算机科学 2022-08-22 Zhaoyang Du , Yijin Guan , Tianchan Guan , Dimin Niu , Hongzhong Zheng , Yuan Xie

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

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 matrix-matrix multiplication (SpGEMM) is a critical operation in numerous fields, including scientific computing, graph analytics, and deep learning. These applications exploit the sparsity of matrices to reduce storage and…

机器学习 · 计算机科学 2024-08-30 Sanjali Yadav , Bahar Asgari

Generalized Sparse Matrix-Matrix Multiplication (SpGEMM) is a ubiquitous task in various engineering and scientific applications. However, inner product based SpGENN introduces redundant input fetches for mismatched nonzero operands, while…

硬件体系结构 · 计算机科学 2024-04-05 Zhekai Zhang , Hanrui Wang , Song Han , William J. Dally

Sparse General Matrix-Matrix Multiplication (SpGEMM) is a fundamental operation in numerous scientific computing and data analytics applications, often bottlenecked by irregular memory access patterns. This paper presents Hash based…

分布式、并行与集群计算 · 计算机科学 2025-12-16 Shiju Li , Younghoon Min , Hane Yie , Hoshik Kim , Soohong Ahn , Joonseop Sim , Chul-Ho Lee , Jongryool Kim

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

Sparse general matrix multiplication (SpGEMM) is an important and expensive computation primitive in many real-world applications. Due to SpGEMM's inherent irregularity and the vast diversity of its input matrices, developing…

分布式、并行与集群计算 · 计算机科学 2022-06-16 Zhaoyang Du , Yijin Guan , Tianchan Guan , Dimin Niu , Linyong Huang , Hongzhong Zheng , Yuan Xie

Sparse general matrix-matrix multiplication (spGEMM) is an essential component in many scientific and data analytics applications. However, the sparsity pattern of the input matrices and the interaction of their patterns make spGEMM…

数学软件 · 计算机科学 2020-10-01 Orestis Zachariadis , Nitin Satpute , Juan Gómez-Luna , Joaquín Olivares

Although the matrix multiplication plays a vital role in computational linear algebra, there are few efficient solutions for matrix multiplication of the near-sparse matrices. The Sparse Approximate Matrix Multiply (SpAMM) is one of the…

性能 · 计算机科学 2022-10-25 Xiaoyan Liu , Yi Liu , Ming Dun , Bohong Yin , Hailong Yang , Zhongzhi Luan , Depei Qian

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

Graph Neural Networks (GNNs) have achieved significant improvements in various domains. Sparse Matrix-Matrix multiplication (SpMM) is a fundamental operator in GNNs, which performs a multiplication between a sparse matrix and a dense…

分布式、并行与集群计算 · 计算机科学 2020-07-08 Guyue Huang , Guohao Dai , Yu Wang , Huazhong Yang

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

Matrix multiplication is a fundamental computation in many scientific disciplines. In this paper, we show that novel fast matrix multiplication algorithms can significantly outperform vendor implementations of the classical algorithm and…

分布式、并行与集群计算 · 计算机科学 2018-01-08 Austin R. Benson , Grey Ballard

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

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

The Sparse GEneral Matrix-Matrix multiplication (SpGEMM) $C = A \times B$ is a fundamental routine extensively used in domains like machine learning or graph analytics. Despite its relevance, the efficient execution of SpGEMM on vector…

分布式、并行与集群计算 · 计算机科学 2023-06-05 Valentin Le Fèvre , Marc Casas

Matrix-matrix multiplication is a basic operation in linear algebra and an essential building block for a wide range of algorithms in various scientific fields. Theory and implementation for the dense, square matrix case are well-developed.…

分布式、并行与集群计算 · 计算机科学 2017-06-01 Alfio Lazzaro , Joost VandeVondele , Juerg Hutter , Ole Schuett

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

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