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Generalized sparse matrix-matrix multiplication (or SpGEMM) is a key primitive for many high performance graph algorithms as well as for some linear solvers, such as algebraic multigrid. Here we show that SpGEMM also yields efficient…

分布式、并行与集群计算 · 计算机科学 2015-03-19 Aydin Buluc , John Gilbert

Sparse matrix-matrix multiplication (SpGEMM) is a widely used kernel in various graph, scientific computing and machine learning algorithms. It is well known that SpGEMM is a memory-bound operation, and its peak performance is expected to…

分布式、并行与集群计算 · 计算机科学 2020-02-27 Zhixiang Gu , Jose Moreira , David Edelsohn , Ariful Azad

We propose a fine-grained hypergraph model for sparse matrix-matrix multiplication (SpGEMM), a key computational kernel in scientific computing and data analysis whose performance is often communication bound. This model correctly describes…

分布式、并行与集群计算 · 计算机科学 2016-03-18 Grey Ballard , Alex Druinsky , Nicholas Knight , Oded Schwartz

Multiplying two sparse matrices (SpGEMM) is a common computational primitive used in many areas including graph algorithms, bioinformatics, algebraic multigrid solvers, and randomized sketching. Distributed-memory parallel algorithms for…

分布式、并行与集群计算 · 计算机科学 2024-08-28 Yuxi Hong , Aydin Buluc

General sparse matrix-matrix multiplication (SpGEMM) is a fundamental building block for numerous applications such as algebraic multigrid method (AMG), breadth first search and shortest path problem. Compared to other sparse BLAS routines,…

数学软件 · 计算机科学 2015-09-15 Weifeng Liu , Brian Vinter

Sparse matrix-matrix multiplication (SpGEMM) is a computational primitive that is widely used in areas ranging from traditional numerical applications to recent big data analysis and machine learning. Although many SpGEMM algorithms have…

分布式、并行与集群计算 · 计算机科学 2018-06-27 Yusuke Nagasaka , Satoshi Matsuoka , Ariful Azad , Aydın Buluç

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

Sparse General Matrix Multiply (SpGEMM) is key for various High-Performance Computing (HPC) applications such as genomics and graph analytics. Using the semiring abstraction, many algorithms can be formulated as SpGEMM, allowing…

分布式、并行与集群计算 · 计算机科学 2025-12-23 Thomas McFarland , Julian Bellavita , Giulia Guidi

We consider a sparse matrix-matrix multiplication (SpGEMM) setting where one matrix is square and the other is tall and skinny. This special variant, called TS-SpGEMM, has important applications in multi-source breadth-first search,…

分布式、并行与集群计算 · 计算机科学 2024-08-23 Isuru Ranawaka , Md Taufique Hussain , Charles Block , Gerasimos Gerogiannis , Josep Torrellas , Ariful Azad

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

In computational science and data analytics, many workloads involve irregular and sparse computations that are inherently difficult to optimize for modern hardware. A key kernel is Sparse General Matrix-Matrix Multiplication (SpGEMM), which…

分布式、并行与集群计算 · 计算机科学 2026-04-22 Yifan Li , Giulia Guidi

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-matrix multiplication (or SpGEMM) is a key primitive for many high-performance graph algorithms as well as for some linear solvers, such as algebraic multigrid. The scaling of existing parallel implementations of SpGEMM is…

分布式、并行与集群计算 · 计算机科学 2016-11-18 Ariful Azad , Grey Ballard , Aydin Buluc , James Demmel , Laura Grigori , Oded Schwartz , Sivan Toledo , Samuel Williams

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

Sparse matrix-matrix multiplication (SpGEMM) is a critical kernel widely employed in machine learning and graph algorithms. However, real-world matrices' high sparsity makes SpGEMM memory-intensive. In-situ computing offers the potential to…

硬件体系结构 · 计算机科学 2023-11-08 Huize Li , Tulika Mitra

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 multiplication of two sparse matrices, known as SpGEMM, is a key kernel in scientific computing and large-scale data analytics, underpinning graph algorithms, machine learning, simulations, and computational biology, where sparsity is…

分布式、并行与集群计算 · 计算机科学 2026-03-25 Julian Bellavita , Lorenzo Pichetti , Thomas Pasquali , Flavio Vella , Giulia Guidi

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

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

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
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