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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

General sparse matrix-matrix multiplication (SpGEMM) is an integral part of many scientific computing, high-performance computing (HPC), and graph analytic applications. This paper presents a new compressed sparse vector (CSV) format for…

Performance · Computer Science 2021-12-21 Erfan Bank Tavakoli , Michael Riera , Masudul Hassan Quraishi , Fengbo Ren

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

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-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

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

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

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

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

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 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

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 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

General Matrix Multiplication (GEMM) is a critical kernel in high-performance computing and deep learning. While modern architectures like ARM's Scalable Matrix Extension (SME) introduce dedicated hardware for matrix operations, existing…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-12-29 Chencheng Deng , Weiling Yang , Jianbin Fang , Dezun Dong

General Matrix Multiplication (GEMM) is a critical operation underpinning a wide range of applications in high-performance computing (HPC) and artificial intelligence (AI). The emergence of hardware optimized for low-precision arithmetic…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-08-21 Qiao Zhang , Rabab Alomairy , Dali Wang , Zhuowei Gu , Qinglei Cao

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

There is a growing interest in custom spatial accelerators for machine learning applications. These accelerators employ a spatial array of processing elements (PEs) interacting via custom buffer hierarchies and networks-on-chip. The…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-06-22 Gordon E. Moon , Hyoukjun Kwon , Geonhwa Jeong , Prasanth Chatarasi , Sivasankaran Rajamanickam , Tushar Krishna

Recently, graphics processors (GPUs) have been increasingly leveraged in a variety of scientific computing applications. However, architectural differences between CPUs and GPUs necessitate the development of algorithms that take advantage…

Mathematical Software · Computer Science 2015-01-05 Jonathan Wong , Ellen Kuhl , Eric Darve

Iterative solutions of sparse linear systems and sparse eigenvalue problems have a fundamental role in vital fields of scientific research and engineering. The crucial computing kernel for such iterative solutions is the multiplication of a…

Data Structures and Algorithms · Computer Science 2022-12-16 Thaha Mohammed , Rashid Mehmood

Fueled by the ability to mine real-world graph data, GNN applications have experienced phenomenal growth. Sparse Matrix-Matrix Multiplication (SpMM) is a critical operator in GNNs. However, existing SpMM designs for GNNs struggle to adapt…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-05-18 Lixing Zhang , Guanhua Ye , Hongzheng Li , Shigang Li , Yingxia Shao