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The sparse matrix-vector product (SpMV) is a fundamental operation in many scientific applications from various fields. The High Performance Computing (HPC) community has therefore continuously invested a lot of effort to provide an…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-05-14 Berenger Bramas , Pavel Kus

Sparse-dense linear algebra is crucial in many domains, but challenging to handle efficiently on CPUs, GPUs, and accelerators alike; multiplications with sparse formats like CSR and CSF require indirect memory lookups. In this work, we…

Hardware Architecture · Computer Science 2020-12-15 Paul Scheffler , Florian Zaruba , Fabian Schuiki , Torsten Hoefler , Luca Benini

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

Sparse computations frequently appear in scientific simulations and the performance of these simulations rely heavily on the optimization of the sparse codes. The compact data structures and irregular computation patterns in sparse matrix…

Programming Languages · Computer Science 2021-12-10 Zachary Cetinic , Kazem Cheshmi , Maryam Mehri Dehnavi

Sparse matrices, as prevalent primitive of various scientific computing algorithms, persist as a bottleneck in processing. A skew-symmetric matrix flips signs of symmetric pairs in a symmetric matrix. Our work, Parallel 3-Way Banded…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-07-26 Selin Yildirim , Murat Manguoglu

Sparse matrix-vector and matrix-matrix multiplication (SpMV and SpMM) are fundamental in both conventional (graph analytics, scientific computing) and emerging (sparse DNN, GNN) domains. Workload-balancing and parallel-reduction are…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-10-15 Guyue Huang , Guohao Dai , Yu Wang , Yufei Ding , Yuan Xie

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

Sparse data structures are commonly used in neural networks to reduce the memory footprint. These data structures are compact but cause irregularities such as random memory accesses, which prevent efficient use of the memory hierarchy. GPUs…

Programming Languages · Computer Science 2025-06-19 Hossein Albakri , Kazem Cheshmi

Sparse Matrix-Vector Multiplication (SpMV) is a critical operation for the iterative solver of Finite Element Methods on computer simulation. Since the SpMV operation is a memory-bound algorithm, the efficiency of data movements heavily…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-04-15 Chong Chen

Sparse Matrix-Matrix Multiplication (SpMM) is a fundamental kernel across scientific computing and machine learning. While prior work accelerates SpMM using Tensor Cores, no existing sparse kernel exploits the asynchronous features of…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-04-21 Jie Liu , Huanzhi Pu , Zhiru Zhang

Sparse matrices have recently played a significant and impactful role in scientific computing, including artificial intelligence-related fields. According to historical studies on sparse matrix--vector multiplication (SpMV), Krylov subspace…

Numerical Analysis · Mathematics 2024-12-24 Tomonori Kouya

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

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

Sparse matrix-vector multiplication (spMVM) is the most time-consuming kernel in many numerical algorithms and has been studied extensively on all modern processor and accelerator architectures. However, the optimal sparse matrix data…

Mathematical Software · Computer Science 2014-10-21 Moritz Kreutzer , Georg Hager , Gerhard Wellein , Holger Fehske , Alan R. Bishop

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

The increasing importance of multicore processors calls for a reevaluation of established numerical algorithms in view of their ability to profit from this new hardware concept. In order to optimize the existent algorithms, a detailed…

Performance · Computer Science 2012-03-01 Gerald Schubert , Georg Hager , Holger Fehske

Sparse matrix-vector multiplication (SpMV) plays a vital role in various scientific and engineering fields, from scientific computing to machine learning. Traditional general-purpose processors often fall short of their peak performance…

Hardware Architecture · Computer Science 2024-10-15 Armin Gerami , Bahar Asgari

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-vector multiplication (SpMV) operations are commonly used in various scientific applications. The performance of the SpMV operation often depends on exploiting regularity patterns in the matrix. Various representations have…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-07-25 Karan Aggarwal , Uday Bondhugula

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