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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

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…

Distributed, Parallel, and Cluster Computing · Computer Science 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

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

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…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-12-23 Thomas McFarland , Julian Bellavita , Giulia Guidi

Graph neural networks (GNNs) are emerging as a powerful technique for modeling graph structures. Due to the sparsity of real-world graph data, GNN performance is limited by extensive sparse matrix multiplication (SpMM) operations involved…

Machine Learning · Computer Science 2021-11-02 Shenghao Qiu , You Liang , Zheng Wang

We propose different implementations of the sparse matrix--dense vector multiplication (\spmv{}) for finite fields and rings $\Zb/m\Zb$. We take advantage of graphic card processors (GPU) and multi-core architectures. Our aim is to improve…

Distributed, Parallel, and Cluster Computing · Computer Science 2010-09-09 Brice Boyer , Jean-Guillaume Dumas , Pascal Giorgi

In this paper, we focus on three sparse matrix operations that are relevant for machine learning applications, namely, the sparse-dense matrix multiplication (SPMM), the sampled dense-dense matrix multiplication (SDDMM), and the composition…

Machine Learning · Computer Science 2023-11-02 Mohammad Zubair , Christoph Bauinger

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,…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-08-23 Isuru Ranawaka , Md Taufique Hussain , Charles Block , Gerasimos Gerogiannis , Josep Torrellas , Ariful Azad

Many recent GPUs feature matrix multiplication engines (aka Tensor Core Units or TCUs) that perform small fixed-size matrix-matrix products at very high throughput. They have been used very effectively to speed up dense matrix-matrix…

Performance · Computer Science 2025-11-25 Lizhi Xiang , Omid Asudeh , Gerald Sabin , Aravind Sukumaran-Rajam , P. Sadayappan

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

Sparse Matrix-matrix Multiplication (SpMM) and Sampled Dense-dense Matrix Multiplication (SDDMM) are important sparse operators in scientific computing and deep learning. Tensor Core Units (TCUs) enhance modern accelerators with superior…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-12-17 Jinliang Shi , Shigang Li , Youxuan Xu , Rongtian Fu , Xueying Wang , Tong Wu

Sparse matrix-vector multiplication (SpMV) is crucial in computational science, engineering, and machine learning. Despite substantial efforts to improve SpMV performance on GPUs through various techniques, issues related to data locality,…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-05-19 Xing Cong , Fukai Sun , Yifan Chen , Chenhao Xie* , Yi Liu , Depei Qian

This work focuses on accelerating the multiplication of a dense random matrix with a (fixed) sparse matrix, which is frequently used in sketching algorithms. We develop a novel scheme that takes advantage of blocking and recomputation…

Computational Engineering, Finance, and Science · Computer Science 2024-05-14 Tianyu Liang , Riley Murray , Aydın Buluç , James Demmel

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…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-11-15 Da Zheng , Disa Mhembere , Vince Lyzinski , Joshua Vogelstein , Carey E. Priebe , Randal Burns

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

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…

Numerical Analysis · Mathematics 2023-01-11 Christie L. Alappat , Georg Hager , Olaf Schenk , Gerhard Wellein

This paper presents GPU performance optimization and scaling results for inference models of the Sparse Deep Neural Network Challenge 2020. Demands for network quality have increased rapidly, pushing the size and thus the memory…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-09-04 Mert Hidayetoglu , Carl Pearson , Vikram Sharma Mailthody , Eiman Ebrahimi , Jinjun Xiong , Rakesh Nagi , Wen-Mei Hwu

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…

Distributed, Parallel, and Cluster Computing · Computer Science 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…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-10-26 Ariful Azad , Aydin Buluc

Sparse Matrix-Matrix Multiplication (SpMM) has served as fundamental components in various domains. Many previous studies exploit GPUs for SpMM acceleration because GPUs provide high bandwidth and parallelism. We point out that a static…

Hardware Architecture · Computer Science 2022-02-18 Guohao Dai , Guyue Huang , Shang Yang , Zhongming Yu , Hengrui Zhang , Yufei Ding , Yuan Xie , Huazhong Yang , Yu Wang