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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…

Machine Learning · Computer Science 2024-08-30 Sanjali Yadav , Bahar Asgari

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 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…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-04-22 Yifan Li , Giulia Guidi

Sparse matrix-matrix multiplication (SpGEMM) is a widely used kernel in various graph, scientific computing and machine learning algorithms. In this paper, we consider SpGEMMs performed on hundreds of thousands of processors generating…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-10-19 Md Taufique Hussain , Oguz Selvitopi , Aydin Buluç , Ariful Azad

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…

Hardware Architecture · Computer Science 2024-04-05 Zhekai Zhang , Hanrui Wang , Song Han , William J. Dally

We present scalable distributed-memory algorithms for sparse matrix permutation, extraction, and assignment. Our methods follow an Identify-Exchange-Build (IEB) strategy where each process identifies the local nonzeros to be sent, exchanges…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-09-26 Elaheh Hassani , Md Taufique Hussain , Ariful Azad

We implement two novel algorithms for sparse-matrix dense-matrix multiplication (SpMM) on the GPU. Our algorithms expect the sparse input in the popular compressed-sparse-row (CSR) format and thus do not require expensive format conversion.…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-06-13 Carl Yang , Aydin Buluc , John D. Owens

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

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…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-03-28 Yusuke Nagasaka , Akira Nukada , Ryosuke Kojima , Satoshi Matsuoka

Generalized sparse matrix-matrix multiplication is a key primitive for many high performance graph algorithms as well as some linear solvers such as multigrid. We present the first parallel algorithms that achieve increasing speedups for an…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-08-09 Aydın Buluç , John R. Gilbert

We develop and implement in this paper a fast sparse assembly algorithm, the fundamental operation which creates a compressed matrix from raw index data. Since it is often a quite demanding and sometimes critical operation, it is of…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-04-28 Stefan Engblom , Dimitar Lukarski

Sparse Matrix-Matrix Multiplication (SpMM) is a fundamental operation in graph computing and analytics. However, the irregularity of real-world graphs poses significant challenges to achieving efficient SpMM operation for graph data on…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-12-13 Zhonggen Li , Xiangyu Ke , Yifan Zhu , Yunjun Gao , Yaofeng Tu

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…

Performance · Computer Science 2022-10-25 Xiaoyan Liu , Yi Liu , Ming Dun , Bohong Yin , Hailong Yang , Zhongzhi Luan , Depei Qian

Multiplication of a sparse matrix with another (dense or sparse) matrix is a fundamental operation that captures the computational patterns of many data science applications, including but not limited to graph algorithms, sparsely connected…

Numerical Analysis · Mathematics 2025-08-07 Aydın Buluç

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 compiler is a promising solution for sparse tensor algebra optimization. In compiler implementation, reduction in sparse-dense hybrid algebra plays a key role in performance. Though GPU provides various reduction semantics that can…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-01-10 Genghan Zhang , Yuetong Zhao , Yanting Tao , Zhongming Yu , Guohao Dai , Sitao Huang , Yuan Wen , Pavlos Petoumenos , Yu Wang

The research in parallel machine scheduling in combinatorial optimization suggests that the desirable parallel efficiency could be achieved when the jobs are sorted in the non-increasing order of processing times. In this paper, we find…

Numerical Analysis · Mathematics 2012-02-15 Lei Wang , Heng Liang , Fengshan Bai , Yan Huo

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…

Hardware Architecture · Computer Science 2023-11-08 Huize Li , Tulika Mitra

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

Sparse matrix-sparse matrix multiplication (SpGEMM) is a key kernel in many scientific applications and graph workloads. Unfortunately, SpGEMM is bottlenecked by data movement due to its irregular memory access patterns. Significant work…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-07-30 Abdullah Al Raqibul Islam , Helen Xu , Dong Dai , Aydın Buluç