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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…

Mathematical Software · Computer Science 2020-10-01 Orestis Zachariadis , Nitin Satpute , Juan Gómez-Luna , Joaquín Olivares

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…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-08-28 Yuxi Hong , Aydin Buluc

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…

Hardware Architecture · Computer Science 2019-06-04 Pareesa Ameneh Golnari , Sharad Malik

Sparse general matrix multiplication (SpGEMM) is a fundamental building block in numerous scientific applications. One critical task of SpGEMM is to compute or predict the structure of the output matrix (i.e., the number of nonzero elements…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-07-29 Zhaoyang Du , Yijin Guan , Tianchan Guan , Dimin Niu , Nianxiong Tan , Xiaopeng Yu , Hongzhong Zheng , Jianyi Meng , Xiaolang Yan , Yuan Xie

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…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-06-05 Valentin Le Fèvre , Marc Casas

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…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-06-01 Alexander van der Grinten , Geert Custers , Duy Le Thanh , Henning Meyerhenke

Sparse matrices, more specifically SpGEMM kernels, are commonly found in a wide range of applications, spanning graph-based path-finding to machine learning algorithms (e.g., neural networks). A particular challenge in implementing SpGEMM…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-06-01 Kaustubh Shivdikar

General-purpose Sparse Matrix-Matrix Multiplication (SpMM) is a fundamental kernel in scientific computing and deep learning. The emergence of new matrix computation units such as Tensor Cores (TCs) brings more opportunities for SpMM…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-01-17 Haisha Zhao , San Li , Jiaheng Wang , Chunbao Zhou , Jue Wang , Zhikuang Xin , Shunde Li , Zhiqiang Liang , Zhijie Pan , Fang Liu , Yan Zeng , Yangang Wang , Xuebin Chi

We develop a family of parallel algorithms for the SpKAdd operation that adds a collection of k sparse matrices. SpKAdd is a much needed operation in many applications including distributed memory sparse matrix-matrix multiplication…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-12-21 Md Taufique Hussain , Guttu Sai Abhishek , Aydin Buluç , Ariful Azad

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…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-06-06 Benjamin Brock , Aydın Buluç , Katherine Yelick

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…

Hardware Architecture · Computer Science 2022-04-05 Christina Giannoula , Ivan Fernandez , Juan Gómez-Luna , Nectarios Koziris , Georgios Goumas , Onur Mutlu

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…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-11-22 Srđan Milaković , Oguz Selvitopi , Israt Nisa , Zoran Budimlić , Aydin Buluc

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…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-02-27 Kobe Bergmans , Karl Meerbergen , Raf Vandebril

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…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-11-18 Ariful Azad , Grey Ballard , Aydin Buluc , James Demmel , Laura Grigori , Oded Schwartz , Sivan Toledo , Samuel Williams

Sparse matrix-vector multiplication (SpMV) is a central building block for scientific software and graph applications. Recently, heterogeneous processors composed of different types of cores attracted much attention because of their…

Mathematical Software · Computer Science 2015-09-15 Weifeng Liu , Brian Vinter

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…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-07-08 Guyue Huang , Guohao Dai , Yu Wang , Huazhong Yang

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…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-03-18 Grey Ballard , Alex Druinsky , Nicholas Knight , Oded Schwartz

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…

Performance · Computer Science 2016-01-12 Athena Elafrou , Georgios Goumas , Nectarios Koziris

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…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-03-11 Aiying Li , Jingwei Sun , Han Li , Wence Ji , Guangzhong Sun

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…

Hardware Architecture · Computer Science 2022-05-24 Christina Giannoula , Ivan Fernandez , Juan Gómez-Luna , Nectarios Koziris , Georgios Goumas , Onur Mutlu